LMFDB - Embedded newform 731.2.k.b.35.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [731,2,Mod(35,731)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(731, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([0, 6]))

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

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

chi := DirichletCharacter("731.35");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 731 = 17 \cdot 43 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	731.k (of order $7$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$5.83706438776$
Analytic rank:	$0$
Dimension:	$180$
Relative dimension:	$30$ over $\Q(\zeta_{7})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			35.3
Character	$\chi$	$=$	731.35
Dual form			731.2.k.b.188.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.520342 + 2.27977i) q^{2} +(0.631123 + 2.76513i) q^{3} +(-3.12464 - 1.50475i) q^{4} +(0.571583 - 0.716742i) q^{5} -6.63225 q^{6} +0.491347 q^{7} +(2.14042 - 2.68400i) q^{8} +(-4.54473 + 2.18863i) q^{9} +O(q^{10})$	\(q+(-0.520342 + 2.27977i) q^{2} +(0.631123 + 2.76513i) q^{3} +(-3.12464 - 1.50475i) q^{4} +(0.571583 - 0.716742i) q^{5} -6.63225 q^{6} +0.491347 q^{7} +(2.14042 - 2.68400i) q^{8} +(-4.54473 + 2.18863i) q^{9} +(1.33659 + 1.67603i) q^{10} +(-4.01445 + 1.93326i) q^{11} +(2.18879 - 9.58971i) q^{12} +(-1.59279 + 1.99730i) q^{13} +(-0.255668 + 1.12016i) q^{14} +(2.34263 + 1.12815i) q^{15} +(0.680505 + 0.853327i) q^{16} +(-0.623490 - 0.781831i) q^{17} +(-2.62474 - 11.4997i) q^{18} +(-1.45345 - 0.699943i) q^{19} +(-2.86450 + 1.37947i) q^{20} +(0.310100 + 1.35864i) q^{21} +(-2.31849 - 10.1580i) q^{22} +(2.90272 - 1.39788i) q^{23} +(8.77247 + 4.22460i) q^{24} +(0.925592 + 4.05528i) q^{25} +(-3.72458 - 4.67047i) q^{26} +(-3.61502 - 4.53309i) q^{27} +(-1.53528 - 0.739352i) q^{28} +(1.30410 - 5.71362i) q^{29} +(-3.79088 + 4.75361i) q^{30} +(-0.156783 + 0.686912i) q^{31} +(3.88650 - 1.87164i) q^{32} +(-7.87932 - 9.88035i) q^{33} +(2.10682 - 1.01459i) q^{34} +(0.280845 - 0.352169i) q^{35} +17.4940 q^{36} +0.0491470 q^{37} +(2.35199 - 2.94931i) q^{38} +(-6.52804 - 3.14374i) q^{39} +(-0.700309 - 3.06825i) q^{40} +(-1.99764 + 8.75222i) q^{41} -3.25874 q^{42} +(-2.45152 - 6.08195i) q^{43} +15.4528 q^{44} +(-1.02901 + 4.50838i) q^{45} +(1.67642 + 7.34489i) q^{46} +(-1.72932 - 0.832799i) q^{47} +(-1.93008 + 2.42024i) q^{48} -6.75858 q^{49} -9.72672 q^{50} +(1.76837 - 2.21746i) q^{51} +(7.98233 - 3.84409i) q^{52} +(6.23512 + 7.81859i) q^{53} +(12.2154 - 5.88264i) q^{54} +(-0.908943 + 3.98234i) q^{55} +(1.05169 - 1.31877i) q^{56} +(1.01813 - 4.46072i) q^{57} +(12.3471 + 5.94607i) q^{58} +(6.14136 + 7.70102i) q^{59} +(-5.62228 - 7.05011i) q^{60} +(0.686982 + 3.00987i) q^{61} +(-1.48442 - 0.714858i) q^{62} +(-2.23304 + 1.07537i) q^{63} +(2.73033 + 11.9624i) q^{64} +(0.521135 + 2.28324i) q^{65} +(26.6248 - 12.8218i) q^{66} +(-9.43500 - 4.54365i) q^{67} +(0.771722 + 3.38113i) q^{68} +(5.69729 + 7.14417i) q^{69} +(0.656727 + 0.823510i) q^{70} +(4.22626 + 2.03526i) q^{71} +(-3.85335 + 16.8826i) q^{72} +(-5.43797 + 6.81900i) q^{73} +(-0.0255732 + 0.112044i) q^{74} +(-10.6292 + 5.11877i) q^{75} +(3.48826 + 4.37414i) q^{76} +(-1.97249 + 0.949899i) q^{77} +(10.5638 - 13.2466i) q^{78} +1.12475 q^{79} +1.00058 q^{80} +(0.817920 - 1.02564i) q^{81} +(-18.9136 - 9.10829i) q^{82} +(0.607391 + 2.66115i) q^{83} +(1.07545 - 4.71187i) q^{84} -0.916747 q^{85} +(15.1410 - 2.42419i) q^{86} +16.6220 q^{87} +(-3.40374 + 14.9127i) q^{88} +(2.89823 + 12.6980i) q^{89} +(-9.74261 - 4.69179i) q^{90} +(-0.782614 + 0.981366i) q^{91} -11.1734 q^{92} -1.99835 q^{93} +(2.79843 - 3.50911i) q^{94} +(-1.33244 + 0.641671i) q^{95} +(7.62820 + 9.56546i) q^{96} +(-2.20016 + 1.05954i) q^{97} +(3.51677 - 15.4080i) q^{98} +(14.0134 - 17.5722i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 180 q + 2 q^{3} - 34 q^{4} + 2 q^{5} + 6 q^{6} - 54 q^{7} + 14 q^{8} - 18 q^{9}+O(q^{10}) $ 180 * q + 2 * q^3 - 34 * q^4 + 2 * q^5 + 6 * q^6 - 54 * q^7 + 14 * q^8 - 18 * q^9	\( 180 q + 2 q^{3} - 34 q^{4} + 2 q^{5} + 6 q^{6} - 54 q^{7} + 14 q^{8} - 18 q^{9} - 8 q^{10} + 4 q^{11} - 4 q^{12} - 5 q^{13} + 24 q^{14} + 11 q^{15} - 58 q^{16} + 30 q^{17} - 84 q^{18} - 4 q^{20} - 28 q^{21} - 49 q^{22} - 23 q^{23} - 6 q^{24} - 14 q^{25} + 14 q^{26} + 20 q^{27} - 14 q^{28} - 60 q^{29} - 5 q^{30} + 36 q^{31} + 39 q^{32} - 39 q^{33} - 14 q^{35} + 224 q^{36} - 184 q^{37} + 32 q^{38} + 58 q^{39} + 22 q^{40} - 48 q^{41} - 58 q^{42} + 2 q^{43} + 134 q^{44} - 54 q^{45} - 5 q^{46} - 35 q^{47} + 44 q^{48} + 174 q^{49} - 70 q^{50} - 2 q^{51} - 22 q^{52} + 8 q^{53} + 70 q^{54} + 51 q^{55} - 61 q^{56} + 72 q^{57} + 29 q^{58} + 35 q^{59} + 96 q^{60} - 40 q^{61} + 20 q^{62} - 35 q^{63} - 18 q^{64} - 17 q^{65} - 218 q^{66} + 16 q^{67} + 27 q^{68} + 50 q^{69} + 72 q^{70} - 20 q^{71} - 143 q^{72} - 4 q^{73} - 35 q^{74} - 45 q^{75} - 148 q^{76} + 40 q^{77} - 220 q^{78} - 12 q^{79} - 222 q^{80} + 12 q^{81} + 50 q^{82} + 16 q^{83} - 170 q^{84} - 2 q^{85} + 108 q^{86} + 78 q^{87} - 14 q^{88} + 55 q^{89} + 105 q^{90} - 53 q^{91} - 28 q^{92} - 142 q^{93} + 108 q^{94} - 49 q^{95} - 148 q^{96} + 73 q^{97} + 6 q^{98} - 73 q^{99}+O(q^{100}) \) 180 * q + 2 * q^3 - 34 * q^4 + 2 * q^5 + 6 * q^6 - 54 * q^7 + 14 * q^8 - 18 * q^9 - 8 * q^10 + 4 * q^11 - 4 * q^12 - 5 * q^13 + 24 * q^14 + 11 * q^15 - 58 * q^16 + 30 * q^17 - 84 * q^18 - 4 * q^20 - 28 * q^21 - 49 * q^22 - 23 * q^23 - 6 * q^24 - 14 * q^25 + 14 * q^26 + 20 * q^27 - 14 * q^28 - 60 * q^29 - 5 * q^30 + 36 * q^31 + 39 * q^32 - 39 * q^33 - 14 * q^35 + 224 * q^36 - 184 * q^37 + 32 * q^38 + 58 * q^39 + 22 * q^40 - 48 * q^41 - 58 * q^42 + 2 * q^43 + 134 * q^44 - 54 * q^45 - 5 * q^46 - 35 * q^47 + 44 * q^48 + 174 * q^49 - 70 * q^50 - 2 * q^51 - 22 * q^52 + 8 * q^53 + 70 * q^54 + 51 * q^55 - 61 * q^56 + 72 * q^57 + 29 * q^58 + 35 * q^59 + 96 * q^60 - 40 * q^61 + 20 * q^62 - 35 * q^63 - 18 * q^64 - 17 * q^65 - 218 * q^66 + 16 * q^67 + 27 * q^68 + 50 * q^69 + 72 * q^70 - 20 * q^71 - 143 * q^72 - 4 * q^73 - 35 * q^74 - 45 * q^75 - 148 * q^76 + 40 * q^77 - 220 * q^78 - 12 * q^79 - 222 * q^80 + 12 * q^81 + 50 * q^82 + 16 * q^83 - 170 * q^84 - 2 * q^85 + 108 * q^86 + 78 * q^87 - 14 * q^88 + 55 * q^89 + 105 * q^90 - 53 * q^91 - 28 * q^92 - 142 * q^93 + 108 * q^94 - 49 * q^95 - 148 * q^96 + 73 * q^97 + 6 * q^98 - 73 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/731\mathbb{Z}\right)^\times$.

$n$	$173$	$562$
$\chi(n)$	$1$	$e\left(\frac{3}{7}\right)$

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 $

$2$	−0.520342	+	2.27977i	−0.367937	+	1.61204i	0.364500	+	0.931203i	$0.381240\pi$
$2$	−0.520342	+	2.27977i	−0.367937	+	1.61204i	−0.732437	+	0.680834i	$0.761617\pi$
$3$	0.631123	+	2.76513i	0.364379	+	1.59645i	0.741941	+	0.670465i	$0.233905\pi$
$3$	0.631123	+	2.76513i	0.364379	+	1.59645i	−0.377562	+	0.925984i	$0.623237\pi$
$4$	−3.12464	−	1.50475i	−1.56232	−	0.752373i
$5$	0.571583	−	0.716742i	0.255620	−	0.320537i	−0.637419	−	0.770518i	$-0.719998\pi$
$5$	0.571583	−	0.716742i	0.255620	−	0.320537i	0.893038	+	0.449981i	$0.148569\pi$
$6$	−6.63225			−2.70761
$7$	0.491347			0.185712			0.0928558	−	0.995680i	$-0.470400\pi$
$7$	0.491347			0.185712			0.0928558	+	0.995680i	$0.470400\pi$
$8$	2.14042	−	2.68400i	0.756752	−	0.948936i
$9$	−4.54473	+	2.18863i	−1.51491	+	0.729542i
$10$	1.33659	+	1.67603i	0.422665	+	0.530006i
$11$	−4.01445	+	1.93326i	−1.21040	+	0.582899i	−0.926623	−	0.375991i	$-0.877302\pi$
$11$	−4.01445	+	1.93326i	−1.21040	+	0.582899i	−0.283778	+	0.958890i	$0.591588\pi$
$12$	2.18879	−	9.58971i	0.631849	−	2.76831i
$13$	−1.59279	+	1.99730i	−0.441761	+	0.553951i	−0.952006	−	0.306078i	$-0.900983\pi$
$13$	−1.59279	+	1.99730i	−0.441761	+	0.553951i	0.510245	+	0.860029i	$0.329555\pi$
$14$	−0.255668	+	1.12016i	−0.0683302	+	0.299374i
$15$	2.34263	+	1.12815i	0.604863	+	0.291287i
$16$	0.680505	+	0.853327i	0.170126	+	0.213332i
$17$	−0.623490	−	0.781831i	−0.151218	−	0.189622i
$17$	−0.623490	−	0.781831i	−0.151218	−	0.189622i
$18$	−2.62474	−	11.4997i	−0.618658	−	2.71052i
$19$	−1.45345	−	0.699943i	−0.333444	−	0.160578i	0.259669	−	0.965698i	$-0.416387\pi$
$19$	−1.45345	−	0.699943i	−0.333444	−	0.160578i	−0.593112	+	0.805120i	$0.702101\pi$
$20$	−2.86450	+	1.37947i	−0.640522	+	0.308459i
$21$	0.310100	+	1.35864i	0.0676695	+	0.296479i
$22$	−2.31849	−	10.1580i	−0.494303	−	2.16568i
$23$	2.90272	−	1.39788i	0.605259	−	0.291477i	−0.106046	−	0.994361i	$-0.533819\pi$
$23$	2.90272	−	1.39788i	0.605259	−	0.291477i	0.711305	+	0.702884i	$0.248105\pi$
$24$	8.77247	+	4.22460i	1.79067	+	0.862343i
$25$	0.925592	+	4.05528i	0.185118	+	0.811057i
$26$	−3.72458	−	4.67047i	−0.730449	−	0.915955i
$27$	−3.61502	−	4.53309i	−0.695711	−	0.872394i
$28$	−1.53528	−	0.739352i	−0.290141	−	0.139724i
$29$	1.30410	−	5.71362i	0.242165	−	1.06099i	−0.696877	−	0.717190i	$-0.745428\pi$
$29$	1.30410	−	5.71362i	0.242165	−	1.06099i	0.939042	−	0.343802i	$-0.111715\pi$
$30$	−3.79088	+	4.75361i	−0.692117	+	0.867887i
$31$	−0.156783	+	0.686912i	−0.0281591	+	0.123373i	−0.987054	−	0.160389i	$-0.948725\pi$
$31$	−0.156783	+	0.686912i	−0.0281591	+	0.123373i	0.958895	+	0.283762i	$0.0915824\pi$
$32$	3.88650	−	1.87164i	0.687043	−	0.330863i
$33$	−7.87932	−	9.88035i	−1.37161	−	1.71995i
$34$	2.10682	−	1.01459i	0.361317	−	0.174001i
$35$	0.280845	−	0.352169i	0.0474715	−	0.0595274i
$36$	17.4940			2.91566
$37$	0.0491470			0.00807971			0.00403986	−	0.999992i	$-0.498714\pi$
$37$	0.0491470			0.00807971			0.00403986	+	0.999992i	$0.498714\pi$
$38$	2.35199	−	2.94931i	0.381544	−	0.478441i
$39$	−6.52804	−	3.14374i	−1.04532	−	0.503401i
$40$	−0.700309	−	3.06825i	−0.110729	−	0.485133i
$41$	−1.99764	+	8.75222i	−0.311979	+	1.36687i	0.539282	+	0.842125i	$0.318696\pi$
$41$	−1.99764	+	8.75222i	−0.311979	+	1.36687i	−0.851261	+	0.524743i	$0.824162\pi$
$42$	−3.25874			−0.502834
$43$	−2.45152	−	6.08195i	−0.373853	−	0.927488i
$43$	−2.45152	−	6.08195i	−0.373853	−	0.927488i
$44$	15.4528			2.32959
$45$	−1.02901	+	4.50838i	−0.153395	+	0.672070i
$46$	1.67642	+	7.34489i	0.247175	+	1.08295i
$47$	−1.72932	−	0.832799i	−0.252248	−	0.121476i	0.303487	−	0.952835i	$-0.401849\pi$
$47$	−1.72932	−	0.832799i	−0.252248	−	0.121476i	−0.555735	+	0.831359i	$0.687563\pi$
$48$	−1.93008	+	2.42024i	−0.278583	+	0.349332i
$49$	−6.75858			−0.965511
$50$	−9.72672			−1.37557
$51$	1.76837	−	2.21746i	0.247621	−	0.310507i
$52$	7.98233	−	3.84409i	1.10695	−	0.533079i
$53$	6.23512	+	7.81859i	0.856459	+	1.07397i	0.996481	+	0.0838174i	$0.0267112\pi$
$53$	6.23512	+	7.81859i	0.856459	+	1.07397i	−0.140022	+	0.990148i	$0.544717\pi$
$54$	12.2154	−	5.88264i	1.66231	−	0.800526i
$55$	−0.908943	+	3.98234i	−0.122562	+	0.536978i
$56$	1.05169	−	1.31877i	0.140538	−	0.176229i
$57$	1.01813	−	4.46072i	0.134855	−	0.590837i
$58$	12.3471	+	5.94607i	1.62126	+	0.780757i
$59$	6.14136	+	7.70102i	0.799537	+	1.00259i	0.999739	+	0.0228334i	$0.00726873\pi$
$59$	6.14136	+	7.70102i	0.799537	+	1.00259i	−0.200202	+	0.979755i	$0.564160\pi$
$60$	−5.62228	−	7.05011i	−0.725833	−	0.910165i
$61$	0.686982	+	3.00987i	0.0879591	+	0.385374i	0.999676	−	0.0254446i	$-0.00810015\pi$
$61$	0.686982	+	3.00987i	0.0879591	+	0.385374i	−0.911717	+	0.410818i	$0.865243\pi$
$62$	−1.48442	−	0.714858i	−0.188521	−	0.0907870i
$63$	−2.23304	+	1.07537i	−0.281336	+	0.135484i
$64$	2.73033	+	11.9624i	0.341292	+	1.49530i
$65$	0.521135	+	2.28324i	0.0646389	+	0.283201i
$66$	26.6248	−	12.8218i	3.27729	−	1.57826i
$67$	−9.43500	−	4.54365i	−1.15267	−	0.555096i	−0.242834	−	0.970068i	$-0.578077\pi$
$67$	−9.43500	−	4.54365i	−1.15267	−	0.555096i	−0.909834	+	0.414972i	$0.863791\pi$
$68$	0.771722	+	3.38113i	0.0935850	+	0.410023i
$69$	5.69729	+	7.14417i	0.685873	+	0.860057i
$70$	0.656727	+	0.823510i	0.0784939	+	0.0984282i
$71$	4.22626	+	2.03526i	0.501565	+	0.241541i	0.667519	−	0.744592i	$-0.267356\pi$
$71$	4.22626	+	2.03526i	0.501565	+	0.241541i	−0.165954	+	0.986133i	$0.553070\pi$
$72$	−3.85335	+	16.8826i	−0.454121	+	1.98964i
$73$	−5.43797	+	6.81900i	−0.636466	+	0.798103i	−0.990556	−	0.137108i	$-0.956219\pi$
$73$	−5.43797	+	6.81900i	−0.636466	+	0.798103i	0.354090	+	0.935211i	$0.384791\pi$
$74$	−0.0255732	+	0.112044i	−0.00297283	+	0.0130248i
$75$	−10.6292	+	5.11877i	−1.22736	+	0.591065i
$76$	3.48826	+	4.37414i	0.400130	+	0.501748i
$77$	−1.97249	+	0.949899i	−0.224786	+	0.108251i
$78$	10.5638	−	13.2466i	1.19611	−	1.49988i
$79$	1.12475			0.126544			0.0632722	−	0.997996i	$-0.479846\pi$
$79$	1.12475			0.126544			0.0632722	+	0.997996i	$0.479846\pi$
$80$	1.00058			0.111868
$81$	0.817920	−	1.02564i	0.0908800	−	0.113960i
$82$	−18.9136	−	9.10829i	−2.08865	−	1.00584i
$83$	0.607391	+	2.66115i	0.0666698	+	0.292099i	0.997261	−	0.0739602i	$-0.0235638\pi$
$83$	0.607391	+	2.66115i	0.0666698	+	0.292099i	−0.930591	+	0.366060i	$0.880707\pi$
$84$	1.07545	−	4.71187i	0.117342	−	0.514108i
$85$	−0.916747			−0.0994352
$86$	15.1410	−	2.42419i	1.63270	−	0.261407i
$87$	16.6220			1.78206
$88$	−3.40374	+	14.9127i	−0.362839	+	1.58970i
$89$	2.89823	+	12.6980i	0.307211	+	1.34598i	0.858991	+	0.511991i	$0.171092\pi$
$89$	2.89823	+	12.6980i	0.307211	+	1.34598i	−0.551779	+	0.833990i	$0.686051\pi$
$90$	−9.74261	−	4.69179i	−1.02696	−	0.494559i
$91$	−0.782614	+	0.981366i	−0.0820402	+	0.102875i
$92$	−11.1734			−1.16491
$93$	−1.99835			−0.207219
$94$	2.79843	−	3.50911i	0.288636	−	0.361938i
$95$	−1.33244	+	0.641671i	−0.136706	+	0.0658341i
$96$	7.62820	+	9.56546i	0.778550	+	0.976270i
$97$	−2.20016	+	1.05954i	−0.223393	+	0.107580i	−0.542233	−	0.840228i	$-0.682421\pi$
$97$	−2.20016	+	1.05954i	−0.223393	+	0.107580i	0.318840	+	0.947808i	$0.396707\pi$
$98$	3.51677	−	15.4080i	0.355247	−	1.55644i
$99$	14.0134	−	17.5722i	1.40840	−	1.76608i
$100$	3.21003	−	14.0641i	0.321003	−	1.40641i
$101$	2.90744	+	1.40015i	0.289301	+	0.139320i	0.572906	−	0.819621i	$-0.305816\pi$
$101$	2.90744	+	1.40015i	0.289301	+	0.139320i	−0.283605	+	0.958941i	$0.591530\pi$
$102$	4.13514	+	5.18530i	0.409440	+	0.513421i
$103$	−4.44071	−	5.56847i	−0.437556	−	0.548678i	0.513341	−	0.858185i	$-0.328407\pi$
$103$	−4.44071	−	5.56847i	−0.437556	−	0.548678i	−0.950897	+	0.309507i	$0.899836\pi$
$104$	1.95151	+	8.55010i	0.191361	+	0.838407i
$105$	1.15104	+	0.554312i	0.112330	+	0.0540953i
$106$	−21.0689	+	10.1463i	−2.04640	+	0.985492i
$107$	2.64631	+	11.5942i	0.255828	+	1.12086i	0.925664	+	0.378347i	$0.123508\pi$
$107$	2.64631	+	11.5942i	0.255828	+	1.12086i	−0.669835	+	0.742510i	$0.733635\pi$
$108$	4.47447	+	19.6039i	0.430556	+	1.88639i
$109$	3.29529	−	1.58693i	0.315632	−	0.152000i	−0.269360	−	0.963040i	$-0.586812\pi$
$109$	3.29529	−	1.58693i	0.315632	−	0.152000i	0.584992	+	0.811039i	$0.301098\pi$
$110$	−8.60584	−	4.14435i	−0.820534	−	0.395149i
$111$	0.0310178	+	0.135898i	0.00294408	+	0.0128989i
$112$	0.334364	+	0.419279i	0.0315944	+	0.0396182i
$113$	−3.69357	−	4.63159i	−0.347462	−	0.435703i	0.577136	−	0.816648i	$-0.304170\pi$
$113$	−3.69357	−	4.63159i	−0.347462	−	0.435703i	−0.924598	+	0.380945i	$0.875599\pi$
$114$	9.63962	+	4.64220i	0.902833	+	0.434782i
$115$	0.657228	−	2.87950i	0.0612868	−	0.268515i
$116$	−12.6724	+	15.8907i	−1.17660	+	1.47541i
$117$	2.86747	−	12.5632i	0.265098	−	1.16147i
$118$	−20.7521	+	9.99370i	−1.91039	+	0.919995i
$119$	−0.306350	−	0.384150i	−0.0280830	−	0.0352150i
$120$	8.04214	−	3.87289i	0.734144	−	0.353545i
$121$	5.51992	−	6.92176i	0.501811	−	0.629251i
$122$	−7.21925			−0.653600
$123$	−25.4618			−2.29581
$124$	1.52352	−	1.91043i	0.136816	−	0.171562i
$125$	7.56545	+	3.64333i	0.676674	+	0.325869i
$126$	−1.28966	−	5.65037i	−0.114892	−	0.503375i
$127$	−0.0175304	+	0.0768058i	−0.00155557	+	0.00681541i	−0.975700	−	0.219112i	$-0.929684\pi$
$127$	−0.0175304	+	0.0768058i	−0.00155557	+	0.00681541i	0.974144	+	0.225927i	$0.0725412\pi$
$128$	−20.0647			−1.77349
$129$	15.2702	−	10.6172i	1.34446	−	0.934794i
$130$	−5.47643			−0.480314
$131$	1.75686	−	7.69732i	0.153498	−	0.672518i	−0.838355	−	0.545125i	$-0.816482\pi$
$131$	1.75686	−	7.69732i	0.153498	−	0.672518i	0.991852	−	0.127393i	$-0.0406608\pi$
$132$	9.75259	+	42.7289i	0.848854	+	3.71907i
$133$	−0.714146	−	0.343915i	−0.0619243	−	0.0298212i
$134$	15.2679	−	19.1453i	1.31894	−	1.65390i
$135$	−5.31534			−0.457472
$136$	−3.43296			−0.294374
$137$	2.02931	−	2.54467i	0.173375	−	0.217406i	−0.687550	−	0.726137i	$-0.741314\pi$
$137$	2.02931	−	2.54467i	0.173375	−	0.217406i	0.860925	+	0.508731i	$0.169885\pi$
$138$	−19.2516	+	9.27107i	−1.63880	+	0.789206i
$139$	−12.2104	−	15.3114i	−1.03568	−	1.29870i	−0.953277	−	0.302097i	$-0.902313\pi$
$139$	−12.2104	−	15.3114i	−1.03568	−	1.29870i	−0.0823987	−	0.996599i	$-0.526258\pi$
$140$	−1.40746	+	0.677799i	−0.118952	+	0.0572845i
$141$	1.21138	−	5.30741i	0.102017	−	0.446964i
$142$	−6.83902	+	8.57586i	−0.573918	+	0.719670i
$143$	2.53289	−	11.0973i	0.211811	−	0.928005i
$144$	−4.96033	−	2.38877i	−0.413360	−	0.199064i
$145$	−3.34979	−	4.20051i	−0.278185	−	0.348833i
$146$	−12.7161	−	15.9455i	−1.05239	−	1.31966i
$147$	−4.26550	−	18.6884i	−0.351812	−	1.54139i
$148$	−0.153566	−	0.0739537i	−0.0126231	−	0.00607896i
$149$	−4.29920	+	2.07039i	−0.352204	+	0.169613i	−0.601617	−	0.798785i	$-0.705477\pi$
$149$	−4.29920	+	2.07039i	−0.352204	+	0.169613i	0.249413	+	0.968397i	$0.419762\pi$
$150$	−6.13876	−	26.8957i	−0.501228	−	2.19602i
$151$	−1.68197	−	7.36921i	−0.136877	−	0.599698i	−0.996110	−	0.0881138i	$-0.971916\pi$
$151$	−1.68197	−	7.36921i	−0.136877	−	0.599698i	0.859233	−	0.511584i	$-0.170941\pi$
$152$	−4.98963	+	2.40288i	−0.404712	+	0.194899i
$153$	4.54473	+	2.18863i	0.367420	+	0.176940i
$154$	−1.13918	−	4.99108i	−0.0917978	−	0.402192i
$155$	0.402724	+	0.505000i	0.0323476	+	0.0405626i
$156$	15.6672	+	19.6461i	1.25438	+	1.57295i
$157$	10.6598	+	5.13350i	0.850747	+	0.409698i	0.807855	−	0.589381i	$-0.200628\pi$
$157$	10.6598	+	5.13350i	0.850747	+	0.409698i	0.0428923	+	0.999080i	$0.486343\pi$
$158$	−0.585255	+	2.56417i	−0.0465604	+	0.203994i
$159$	−17.6843	+	22.1754i	−1.40246	+	1.75862i
$160$	0.879974	−	3.85542i	0.0695681	−	0.304798i
$161$	1.42624	−	0.686842i	0.112404	−	0.0541307i
$162$	1.91262	+	2.39835i	0.150269	+	0.188432i
$163$	−10.9002	+	5.24925i	−0.853768	+	0.411153i	−0.808975	−	0.587843i	$-0.799977\pi$
$163$	−10.9002	+	5.24925i	−0.853768	+	0.411153i	−0.0447933	+	0.998996i	$0.514263\pi$
$164$	19.4118	−	24.3416i	1.51580	−	1.90076i
$165$	−11.5853			−0.901918
$166$	−6.38285			−0.495405
$167$	14.1952	−	17.8002i	1.09846	−	1.37742i	0.179181	−	0.983816i	$-0.442655\pi$
$167$	14.1952	−	17.8002i	1.09846	−	1.37742i	0.919278	−	0.393609i	$-0.128773\pi$
$168$	4.31033	+	2.07574i	0.332549	+	0.160147i
$169$	1.44056	+	6.31150i	0.110812	+	0.485500i
$170$	0.477022	−	2.08997i	0.0365859	−	0.160293i
$171$	8.13743			0.622285
$172$	−1.49168	+	22.6928i	−0.113740	+	1.73031i
$173$	−13.7219			−1.04326			−0.521629	−	0.853172i	$-0.674676\pi$
$173$	−13.7219			−1.04326			−0.521629	+	0.853172i	$0.674676\pi$
$174$	−8.64910	+	37.8942i	−0.655686	+	2.87275i
$175$	0.454787	+	1.99255i	0.0343787	+	0.150623i
$176$	−4.38155	−	2.11004i	−0.330272	−	0.159051i
$177$	−17.4184	+	21.8420i	−1.30925	+	1.64174i
$178$	−30.4564			−2.28281
$179$	13.6628			1.02121			0.510603	−	0.859817i	$-0.329422\pi$
$179$	13.6628			1.02121			0.510603	+	0.859817i	$0.329422\pi$
$180$	9.99924	−	12.5387i	0.745300	−	0.934576i
$181$	−8.70813	+	4.19361i	−0.647270	+	0.311709i	−0.728560	−	0.684982i	$-0.759810\pi$
$181$	−8.70813	+	4.19361i	−0.647270	+	0.311709i	0.0812903	+	0.996690i	$0.474096\pi$
$182$	−1.83006	−	2.29482i	−0.135653	−	0.170103i
$183$	−7.88910	+	3.79919i	−0.583179	+	0.280844i
$184$	2.46113	−	10.7829i	0.181437	−	0.794928i
$185$	0.0280916	−	0.0352257i	0.00206533	−	0.00258984i
$186$	1.03983	−	4.55577i	0.0762437	−	0.334045i
$187$	4.01445	+	1.93326i	0.293565	+	0.141374i
$188$	4.15036	+	5.20439i	0.302696	+	0.379569i
$189$	−1.77623	−	2.22732i	−0.129202	−	0.162014i
$190$	−0.769534	−	3.37155i	−0.0558278	−	0.244598i
$191$	4.35618	+	2.09783i	0.315202	+	0.151794i	0.584795	−	0.811181i	$-0.301175\pi$
$191$	4.35618	+	2.09783i	0.315202	+	0.151794i	−0.269593	+	0.962974i	$0.586889\pi$
$192$	−31.3544	+	15.0995i	−2.26281	+	1.08971i
$193$	3.12276	+	13.6817i	0.224781	+	0.984831i	0.953825	+	0.300364i	$0.0971080\pi$
$193$	3.12276	+	13.6817i	0.224781	+	0.984831i	−0.729043	+	0.684467i	$0.760035\pi$
$194$	−1.27067	−	5.56718i	−0.0912289	−	0.399700i
$195$	−5.98457	+	2.88201i	−0.428564	+	0.206385i
$196$	21.1181	+	10.1699i	1.50844	+	0.726424i
$197$	5.33779	+	23.3864i	0.380302	+	1.66621i	0.696530	+	0.717527i	$0.254726\pi$
$197$	5.33779	+	23.3864i	0.380302	+	1.66621i	−0.316229	+	0.948683i	$0.602417\pi$
$198$	32.7689	+	41.0908i	2.32878	+	2.92020i
$199$	2.06905	+	2.59451i	0.146671	+	0.183920i	0.849740	−	0.527202i	$-0.176759\pi$
$199$	2.06905	+	2.59451i	0.146671	+	0.183920i	−0.703069	+	0.711122i	$0.748187\pi$
$200$	12.8655	+	6.19571i	0.909730	+	0.438103i
$201$	6.60916	−	28.9566i	0.466174	−	2.04244i
$202$	−4.70487	+	5.89973i	−0.331034	+	0.415103i
$203$	0.640764	−	2.80737i	0.0449728	−	0.197039i
$204$	−8.86223	+	4.26782i	−0.620480	+	0.298807i
$205$	5.13127	+	6.43441i	0.358384	+	0.449399i
$206$	15.0055	−	7.22626i	1.04548	−	0.503478i
$207$	−10.1326	+	12.7059i	−0.704268	+	0.883124i
$208$	−2.78825			−0.193330
$209$	7.18795			0.497201
$210$	−1.86264	+	2.33567i	−0.128534	+	0.161177i
$211$	0.764630	+	0.368226i	0.0526393	+	0.0253497i	0.460018	−	0.887909i	$-0.347843\pi$
$211$	0.764630	+	0.368226i	0.0526393	+	0.0253497i	−0.407379	+	0.913259i	$0.633557\pi$
$212$	−7.71749	−	33.8125i	−0.530039	−	2.32225i
$213$	−2.96047	+	12.9707i	−0.202848	+	0.888736i
$214$	−27.8091			−1.90099
$215$	−5.76043	−	1.71923i	−0.392858	−	0.117251i
$216$	−19.9045			−1.35433
$217$	−0.0770349	+	0.337512i	−0.00522947	+	0.0229118i
$218$	1.90315	+	8.33824i	0.128898	+	0.564737i
$219$	−22.2875	−	10.7331i	−1.50605	−	0.725274i
$220$	8.83252	−	11.0756i	0.595489	−	0.746719i
$221$	2.55464			0.171844
$222$	−0.325955			−0.0218767
$223$	−11.8970	+	14.9183i	−0.796681	+	0.999006i	0.203122	+	0.979153i	$0.434891\pi$
$223$	−11.8970	+	14.9183i	−0.796681	+	0.999006i	−0.999803	+	0.0198527i	$0.993680\pi$
$224$	1.90962	−	0.919625i	0.127592	−	0.0614450i
$225$	−13.0821	−	16.4044i	−0.872138	−	1.09363i
$226$	12.4809	−	6.01046i	0.830214	−	0.399810i
$227$	1.69777	−	7.43840i	0.112685	−	0.493704i	−0.886816	−	0.462122i	$-0.847088\pi$
$227$	1.69777	−	7.43840i	0.112685	−	0.493704i	0.999501	−	0.0315820i	$-0.0100545\pi$
$228$	−9.89354	+	12.4061i	−0.655216	+	0.821615i
$229$	2.79865	−	12.2617i	0.184940	−	0.810274i	−0.794293	−	0.607535i	$-0.792158\pi$
$229$	2.79865	−	12.2617i	0.184940	−	0.810274i	0.979233	−	0.202739i	$-0.0649844\pi$
$230$	6.22261	+	2.99665i	0.410307	+	0.197593i
$231$	−3.87148	−	4.85468i	−0.254725	−	0.319414i
$232$	−12.5440	−	15.7297i	−0.823556	−	1.03271i
$233$	−3.59405	−	15.7465i	−0.235454	−	1.03159i	−0.945036	−	0.326968i	$-0.893973\pi$
$233$	−3.59405	−	15.7465i	−0.235454	−	1.03159i	0.709582	−	0.704623i	$-0.248884\pi$
$234$	27.1491	+	13.0743i	1.77479	+	0.854695i
$235$	−1.58535	+	0.763466i	−0.103417	+	0.0498030i
$236$	−7.60144	−	33.3041i	−0.494812	−	2.16791i
$237$	0.709857	+	3.11009i	0.0461101	+	0.202022i
$238$	1.03518	−	0.498516i	0.0671007	−	0.0323140i
$239$	26.6287	+	12.8237i	1.72247	+	0.829497i	0.988666	+	0.150134i	$0.0479704\pi$
$239$	26.6287	+	12.8237i	1.72247	+	0.829497i	0.733802	+	0.679363i	$0.237744\pi$
$240$	0.631489	+	2.76674i	0.0407625	+	0.178592i
$241$	16.5221	+	20.7181i	1.06428	+	1.33457i	0.939563	+	0.342377i	$0.111232\pi$
$241$	16.5221	+	20.7181i	1.06428	+	1.33457i	0.124720	+	0.992192i	$0.460197\pi$
$242$	12.9078	+	16.1858i	0.829742	+	1.04046i
$243$	−12.3193	−	5.93268i	−0.790285	−	0.380581i
$244$	2.38251	−	10.4385i	0.152525	−	0.668255i
$245$	−3.86309	+	4.84416i	−0.246804	+	0.309482i
$246$	13.2488	−	58.0469i	0.844715	−	3.70094i
$247$	3.71303	−	1.78810i	0.236255	−	0.113774i
$248$	1.50809	+	1.89108i	0.0957637	+	0.120084i
$249$	−6.97510	+	3.35903i	−0.442029	+	0.212870i
$250$	−12.2426	+	15.3517i	−0.774287	+	0.970925i
$251$	−18.9880			−1.19851			−0.599257	−	0.800557i	$-0.704537\pi$
$251$	−18.9880			−1.19851			−0.599257	+	0.800557i	$0.704537\pi$
$252$	8.59560			0.541472
$253$	−8.95036	+	11.2234i	−0.562705	+	0.705609i
$254$	−0.165977	−	0.0799305i	−0.0104143	−	0.00501529i
$255$	−0.578581	−	2.53493i	−0.0362321	−	0.158743i
$256$	4.97984	−	21.8181i	0.311240	−	1.36363i
$257$	25.0384			1.56185			0.780926	−	0.624624i	$-0.214748\pi$
$257$	25.0384			1.56185			0.780926	+	0.624624i	$0.214748\pi$
$258$	16.2591	+	40.3370i	1.01225	+	2.51127i
$259$	0.0241482			0.00150050
$260$	1.80734	−	7.91848i	0.112087	−	0.491083i
$261$	6.57821	+	28.8210i	0.407181	+	1.78398i
$262$	16.6339	+	8.01047i	1.02765	+	0.494889i
$263$	−6.81838	+	8.54998i	−0.420439	+	0.527214i	−0.946271	−	0.323374i	$-0.895183\pi$
$263$	−6.81838	+	8.54998i	−0.420439	+	0.527214i	0.525832	+	0.850589i	$0.323754\pi$
$264$	−43.3839			−2.67009
$265$	9.16780			0.563173
$266$	1.15565	−	1.44913i	0.0708571	−	0.0888520i
$267$	−33.2824	+	16.0280i	−2.03685	+	0.980895i
$268$	22.6439	+	28.3945i	1.38320	+	1.73447i
$269$	−2.10503	+	1.01373i	−0.128346	+	0.0618081i	−0.496955	−	0.867776i	$-0.665548\pi$
$269$	−2.10503	+	1.01373i	−0.128346	+	0.0618081i	0.368609	+	0.929585i	$0.379834\pi$
$270$	2.76579	−	12.1177i	0.168321	−	0.737461i
$271$	−4.49069	+	5.63114i	−0.272790	+	0.342068i	−0.899289	−	0.437354i	$-0.855916\pi$
$271$	−4.49069	+	5.63114i	−0.272790	+	0.342068i	0.626499	+	0.779422i	$0.284487\pi$
$272$	0.242870	−	1.06408i	0.0147261	−	0.0645194i
$273$	−3.20753	−	1.54467i	−0.194129	−	0.0934875i
$274$	4.74531	+	5.95044i	0.286675	+	0.359479i
$275$	−11.5556	−	14.4903i	−0.696832	−	0.873799i
$276$	−7.05179	−	30.8959i	−0.424468	−	1.85972i
$277$	26.4802	+	12.7522i	1.59104	+	0.766205i	0.999205	−	0.0398549i	$-0.0126896\pi$
$277$	26.4802	+	12.7522i	1.59104	+	0.766205i	0.591835	+	0.806059i	$0.298404\pi$
$278$	41.2600	−	19.8698i	2.47461	−	1.19171i
$279$	−0.790857	−	3.46497i	−0.0473473	−	0.207442i
$280$	−0.344095	−	1.50758i	−0.0205636	−	0.0900949i
$281$	−5.31664	+	2.56036i	−0.317164	+	0.152738i	−0.585692	−	0.810534i	$-0.699177\pi$
$281$	−5.31664	+	2.56036i	−0.317164	+	0.152738i	0.268528	+	0.963272i	$0.413463\pi$
$282$	11.4693	+	5.52333i	0.682988	+	0.328910i
$283$	−3.64960	−	15.9900i	−0.216946	−	0.950504i	−0.959719	−	0.280961i	$-0.909347\pi$
$283$	−3.64960	−	15.9900i	−0.216946	−	0.950504i	0.742773	−	0.669543i	$-0.233510\pi$
$284$	−10.1430	−	12.7189i	−0.601876	−	0.754728i
$285$	−2.61524	−	3.27941i	−0.154913	−	0.194255i
$286$	23.9813	+	11.5488i	1.41805	+	0.682895i
$287$	−0.981533	+	4.30038i	−0.0579381	+	0.253843i
$288$	−13.5668	+	17.0122i	−0.799430	+	1.00245i
$289$	−0.222521	+	0.974928i	−0.0130895	+	0.0573487i
$290$	11.3192	−	5.45104i	0.664687	−	0.320096i
$291$	−4.31835	−	5.41503i	−0.253146	−	0.317435i
$292$	27.2525	−	13.1241i	1.59483	−	0.768032i
$293$	21.2059	−	26.5914i	1.23886	−	1.55349i	0.530374	−	0.847764i	$-0.322051\pi$
$293$	21.2059	−	26.5914i	1.23886	−	1.55349i	0.708489	−	0.705722i	$-0.249377\pi$
$294$	44.8246			2.61422
$295$	9.02994			0.525744
$296$	0.105195	−	0.131910i	0.00611433	−	0.00766713i
$297$	23.2759	+	11.2091i	1.35061	+	0.650418i
$298$	−2.48294	−	10.8785i	−0.143833	−	0.630173i
$299$	−1.83145	+	8.02413i	−0.105916	+	0.464047i
$300$	40.9149			2.36223
$301$	−1.20454	−	2.98834i	−0.0694288	−	0.172245i
$302$	17.6753			1.01710
$303$	−2.03664	+	8.92312i	−0.117002	+	0.512620i
$304$	−0.391798	−	1.71658i	−0.0224712	−	0.0984526i
$305$	2.54996	+	1.22800i	0.146011	+	0.0703150i
$306$	−7.35437	+	9.22208i	−0.420421	+	0.527191i
$307$	13.5077			0.770928			0.385464	−	0.922723i	$-0.374041\pi$
$307$	13.5077			0.770928			0.385464	+	0.922723i	$0.374041\pi$
$308$	7.59266			0.432632
$309$	12.5949	−	15.7935i	0.716500	−	0.898463i
$310$	−1.36084	+	0.655344i	−0.0772903	+	0.0372210i
$311$	−6.47751	−	8.12254i	−0.367306	−	0.460587i	0.563492	−	0.826122i	$-0.309458\pi$
$311$	−6.47751	−	8.12254i	−0.367306	−	0.460587i	−0.930798	+	0.365535i	$0.880886\pi$
$312$	−22.4105	+	10.7923i	−1.26875	+	0.610996i
$313$	−3.59094	+	15.7329i	−0.202972	+	0.889278i	0.766143	+	0.642670i	$0.222173\pi$
$313$	−3.59094	+	15.7329i	−0.202972	+	0.889278i	−0.969115	+	0.246609i	$0.920684\pi$
$314$	−17.2499	+	21.6307i	−0.973470	+	1.22069i
$315$	−0.505600	+	2.21518i	−0.0284873	+	0.124811i
$316$	−3.51444	−	1.69246i	−0.197703	−	0.0952086i
$317$	−10.9018	−	13.6705i	−0.612309	−	0.767811i	0.374931	−	0.927053i	$-0.377666\pi$
$317$	−10.9018	−	13.6705i	−0.612309	−	0.767811i	−0.987240	+	0.159242i	$0.949095\pi$
$318$	−41.3529	−	51.8548i	−2.31895	−	2.90788i
$319$	5.81066	+	25.4582i	0.325335	+	1.42538i
$320$	10.1345	+	4.88054i	0.566538	+	0.272830i
$321$	−30.3894	+	14.6348i	−1.69617	+	0.816834i
$322$	0.823706	+	3.60889i	0.0459033	+	0.201116i
$323$	0.358972	+	1.57276i	0.0199737	+	0.0875106i
$324$	−4.09903	+	1.97399i	−0.227724	+	0.109666i
$325$	−9.57389	−	4.61054i	−0.531064	−	0.255747i
$326$	−6.29524	−	27.5813i	−0.348661	−	1.52758i
$327$	6.46781	+	8.11037i	0.357671	+	0.448505i
$328$	19.2152	+	24.0951i	1.06098	+	1.33043i
$329$	−0.849698	−	0.409193i	−0.0468454	−	0.0225595i
$330$	6.02834	−	26.4119i	0.331849	−	1.45393i
$331$	14.0559	−	17.6256i	0.772584	−	0.968789i	−0.227404	−	0.973801i	$-0.573024\pi$
$331$	14.0559	−	17.6256i	0.772584	−	0.968789i	0.999987	+	0.00501139i	$0.00159518\pi$
$332$	2.10648	−	9.22910i	0.115608	−	0.506513i
$333$	−0.223360	+	0.107564i	−0.0122400	+	0.00589449i
$334$	33.1940	+	41.6240i	1.81630	+	2.27756i
$335$	−8.64951	+	4.16538i	−0.472573	+	0.227579i
$336$	−0.948338	+	1.18918i	−0.0517361	+	0.0648750i
$337$	29.8817			1.62776			0.813880	−	0.581033i	$-0.197351\pi$
$337$	29.8817			1.62776			0.813880	+	0.581033i	$0.197351\pi$
$338$	−15.1383			−0.823416
$339$	10.4759	−	13.1363i	0.568970	−	0.713466i
$340$	2.86450	+	1.37947i	0.155349	+	0.0748124i
$341$	−0.698579	−	3.06067i	−0.0378302	−	0.165745i
$342$	−4.23425	+	18.5514i	−0.228962	+	1.00315i
$343$	−6.76023			−0.365018
$344$	−21.5712	−	6.43804i	−1.16304	−	0.347116i
$345$	8.37700			0.451002
$346$	7.14009	−	31.2828i	0.383854	−	1.68177i
$347$	1.91589	+	8.39407i	0.102850	+	0.450617i	0.999961	+	0.00881139i	$0.00280479\pi$
$347$	1.91589	+	8.39407i	0.102850	+	0.450617i	−0.897111	+	0.441806i	$0.854338\pi$
$348$	−51.9376	−	25.0118i	−2.78415	−	1.34077i
$349$	−19.3706	+	24.2899i	−1.03688	+	1.30021i	−0.0841335	+	0.996454i	$0.526812\pi$
$349$	−19.3706	+	24.2899i	−1.03688	+	1.30021i	−0.952750	+	0.303756i	$0.901759\pi$
$350$	−4.77919			−0.255459
$351$	14.8119			0.790601
$352$	−11.9838	+	15.0272i	−0.638739	+	0.800953i
$353$	−21.2920	+	10.2537i	−1.13326	+	0.545748i	−0.903964	−	0.427609i	$-0.859356\pi$
$353$	−21.2920	+	10.2537i	−1.13326	+	0.545748i	−0.229294	+	0.973357i	$0.573642\pi$
$354$	−40.7311	−	51.0751i	−2.16483	−	2.71461i
$355$	3.87442	−	1.86582i	0.205633	−	0.0990275i
$356$	10.0513	−	44.0376i	0.532718	−	2.33399i
$357$	0.868882	−	1.08954i	0.0459861	−	0.0576648i
$358$	−7.10932	+	31.1480i	−0.375739	+	1.64622i
$359$	−9.07628	−	4.37090i	−0.479028	−	0.230687i	0.178758	−	0.983893i	$-0.442792\pi$
$359$	−9.07628	−	4.37090i	−0.479028	−	0.230687i	−0.657785	+	0.753206i	$0.728506\pi$
$360$	9.89797	+	12.4117i	0.521669	+	0.654152i
$361$	−10.2237	−	12.8201i	−0.538090	−	0.674744i
$362$	−5.02925	−	22.0346i	−0.264332	−	1.15811i
$363$	22.6233	+	10.8948i	1.18742	+	0.571830i
$364$	3.92209	−	1.88878i	0.205573	−	0.0989989i
$365$	1.77921	+	7.79524i	0.0931283	+	0.408022i
$366$	−4.55624	−	19.9622i	−0.238158	−	1.04344i
$367$	−11.5339	+	5.55441i	−0.602062	+	0.289938i	−0.709980	−	0.704222i	$-0.751296\pi$
$367$	−11.5339	+	5.55441i	−0.602062	+	0.289938i	0.107918	+	0.994160i	$0.465582\pi$
$368$	3.16816	+	1.52571i	0.165152	+	0.0795329i
$369$	−10.0766	−	44.1486i	−0.524568	−	2.29828i
$370$	0.0656891	+	0.0823716i	0.00341501	+	0.00428229i
$371$	3.06360	+	3.84164i	0.159054	+	0.199448i
$372$	6.24412	+	3.00701i	0.323743	+	0.155906i
$373$	6.63239	−	29.0584i	0.343412	−	1.50459i	−0.448406	−	0.893830i	$-0.648008\pi$
$373$	6.63239	−	29.0584i	0.343412	−	1.50459i	0.791818	−	0.610757i	$-0.209135\pi$
$374$	−6.49625	+	8.14604i	−0.335913	+	0.421222i
$375$	−5.29955	+	23.2189i	−0.273668	+	1.19902i
$376$	−5.93671	+	2.85897i	−0.306162	+	0.147440i
$377$	9.33465	+	11.7053i	0.480759	+	0.602853i
$378$	6.00201	−	2.89042i	0.308710	−	0.148667i
$379$	9.97037	−	12.5024i	0.512143	−	0.642207i	−0.456777	−	0.889581i	$-0.650996\pi$
$379$	9.97037	−	12.5024i	0.512143	−	0.642207i	0.968920	+	0.247374i	$0.0795676\pi$
$380$	5.12895			0.263110
$381$	−0.223442			−0.0114473
$382$	−7.04926	+	8.83949i	−0.360671	+	0.452268i
$383$	−5.30093	−	2.55279i	−0.270865	−	0.130442i	0.293521	−	0.955953i	$-0.405173\pi$
$383$	−5.30093	−	2.55279i	−0.270865	−	0.130442i	−0.564386	+	0.825511i	$0.690887\pi$
$384$	−12.6633	−	55.4816i	−0.646222	−	2.83128i
$385$	−0.446606	+	1.95671i	−0.0227612	+	0.0997232i
$386$	−32.8160			−1.67029
$387$	24.4526	+	22.2753i	1.24299	+	1.13232i
$388$	8.46905			0.429951
$389$	2.39265	−	10.4829i	0.121312	−	0.531503i	−0.877353	−	0.479846i	$-0.840693\pi$
$389$	2.39265	−	10.4829i	0.121312	−	0.531503i	0.998665	−	0.0516570i	$-0.0164502\pi$
$390$	−3.45630	−	15.1430i	−0.175017	−	0.766798i
$391$	−2.90272	−	1.39788i	−0.146797	−	0.0706936i
$392$	−14.4662	+	18.1400i	−0.730652	+	0.916209i
$393$	22.3929			1.12957
$394$	−56.0929			−2.82592
$395$	0.642888	−	0.806157i	0.0323472	−	0.0405621i
$396$	−70.2286	+	33.8203i	−3.52912	+	1.69953i
$397$	13.0225	+	16.3297i	0.653581	+	0.819564i	0.992627	−	0.121205i	$-0.0386759\pi$
$397$	13.0225	+	16.3297i	0.653581	+	0.819564i	−0.339047	+	0.940770i	$0.610104\pi$
$398$	−6.99148	+	3.36692i	−0.350451	+	0.168768i
$399$	0.500255	−	2.19176i	0.0250441	−	0.109725i
$400$	−2.83061	+	3.54948i	−0.141531	+	0.177474i
$401$	−7.00594	+	30.6950i	−0.349860	+	1.53284i	0.427637	+	0.903951i	$0.359346\pi$
$401$	−7.00594	+	30.6950i	−0.349860	+	1.53284i	−0.777497	+	0.628887i	$0.783511\pi$
$402$	62.5753	+	30.1347i	3.12097	+	1.50298i
$403$	−1.12225	−	1.40725i	−0.0559030	−	0.0701002i
$404$	−6.97783	−	8.74992i	−0.347160	−	0.435325i
$405$	−0.267610	−	1.17247i	−0.0132976	−	0.0582607i
$406$	6.06673	+	2.92158i	0.301087	+	0.144996i
$407$	−0.197298	+	0.0950137i	−0.00977969	+	0.00470965i
$408$	−2.16662	−	9.49259i	−0.107264	−	0.469953i
$409$	−4.15546	−	18.2063i	−0.205474	−	0.900242i	−0.967535	−	0.252737i	$-0.918669\pi$
$409$	−4.15546	−	18.2063i	−0.205474	−	0.900242i	0.762061	−	0.647505i	$-0.224188\pi$
$410$	−17.3390	+	8.35000i	−0.856310	+	0.412377i
$411$	8.31708	+	4.00530i	0.410251	+	0.197567i
$412$	5.49647	+	24.0816i	0.270791	+	1.18641i
$413$	3.01754	+	3.78387i	0.148483	+	0.186192i
$414$	−23.6941	−	29.7115i	−1.16450	−	1.46024i
$415$	2.25453	+	1.08573i	0.110671	+	0.0532962i
$416$	−2.45217	+	10.7436i	−0.120227	+	0.526751i
$417$	34.6318	−	43.4269i	1.69592	−	2.12662i
$418$	−3.74019	+	16.3868i	−0.182939	+	0.801507i
$419$	11.2401	−	5.41294i	0.549114	−	0.264439i	−0.138690	−	0.990336i	$-0.544289\pi$
$419$	11.2401	−	5.41294i	0.549114	−	0.264439i	0.687804	+	0.725897i	$0.258575\pi$
$420$	−2.76249	−	3.46405i	−0.134796	−	0.169028i
$421$	26.5741	−	12.7974i	1.29514	−	0.623708i	0.345906	−	0.938269i	$-0.387572\pi$
$421$	26.5741	−	12.7974i	1.29514	−	0.623708i	0.949237	+	0.314561i	$0.101857\pi$
$422$	−1.23734	+	1.55157i	−0.0602327	+	0.0755294i
$423$	9.68200			0.470755
$424$	34.3308			1.66725
$425$	2.59345	−	3.25209i	0.125801	−	0.157749i
$426$	−28.0296	−	13.4984i	−1.35804	−	0.653998i
$427$	0.337547	+	1.47889i	0.0163350	+	0.0715684i
$428$	9.17762	−	40.2098i	0.443617	−	1.94361i
$429$	32.2841			1.55869
$430$	6.91683	−	12.2378i	0.333559	−	0.590161i
$431$	−1.84381			−0.0888134			−0.0444067	−	0.999014i	$-0.514140\pi$
$431$	−1.84381			−0.0888134			−0.0444067	+	0.999014i	$0.514140\pi$
$432$	1.40817	−	6.16959i	0.0677505	−	0.296834i
$433$	0.103167	+	0.452003i	0.00495788	+	0.0217219i	0.977346	−	0.211646i	$-0.0678824\pi$
$433$	0.103167	+	0.452003i	0.00495788	+	0.0217219i	−0.972388	+	0.233368i	$0.925025\pi$
$434$	−0.729364	−	0.351243i	−0.0350106	−	0.0168602i
$435$	9.50082	−	11.9137i	0.455530	−	0.571216i
$436$	−12.6845			−0.607479
$437$	−5.19738			−0.248625
$438$	36.0660	−	45.2253i	1.72330	−	2.16095i
$439$	−18.8458	+	9.07565i	−0.899460	+	0.433157i	−0.825694	−	0.564119i	$-0.809216\pi$
$439$	−18.8458	+	9.07565i	−0.899460	+	0.433157i	−0.0737659	+	0.997276i	$0.523502\pi$
$440$	8.74307	+	10.9635i	0.416810	+	0.522663i
$441$	30.7159	−	14.7920i	1.46266	−	0.704381i
$442$	−1.32929	+	5.82398i	−0.0632277	+	0.277019i
$443$	18.8410	−	23.6258i	0.895161	−	1.12250i	−0.0967176	−	0.995312i	$-0.530834\pi$
$443$	18.8410	−	23.6258i	0.895161	−	1.12250i	0.991879	−	0.127185i	$-0.0405942\pi$
$444$	0.107572	−	0.471305i	0.00510516	−	0.0223672i
$445$	10.7577	+	5.18065i	0.509966	+	0.245587i
$446$	−27.8198	−	34.8850i	−1.31731	−	1.65185i
$447$	−8.43821	−	10.5812i	−0.399114	−	0.500473i
$448$	1.34154	+	5.87767i	0.0633818	+	0.277694i
$449$	26.8205	+	12.9161i	1.26574	+	0.609548i	0.941687	−	0.336491i	$-0.109240\pi$
$449$	26.8205	+	12.9161i	1.26574	+	0.609548i	0.324053	+	0.946039i	$0.394954\pi$
$450$	44.2053	−	21.2882i	2.08386	−	1.00353i
$451$	−8.90088	−	38.9973i	−0.419126	−	1.83631i
$452$	4.57170	+	20.0299i	0.215035	+	0.942128i
$453$	19.3153	−	9.30176i	0.907512	−	0.437035i
$454$	16.0744	+	7.74101i	0.754408	+	0.363304i
$455$	0.256058	+	1.12186i	0.0120042	+	0.0525938i
$456$	−9.79334	−	12.2805i	−0.458615	−	0.575085i
$457$	−20.1051	−	25.2110i	−0.940479	−	1.17932i	−0.983620	−	0.180254i	$-0.942308\pi$
$457$	−20.1051	−	25.2110i	−0.940479	−	1.17932i	0.0431416	−	0.999069i	$-0.486263\pi$
$458$	26.4975	+	12.7605i	1.23815	+	0.596260i
$459$	−1.29019	+	5.65267i	−0.0602207	+	0.263844i
$460$	−6.38652	+	8.00844i	−0.297773	+	0.373396i
$461$	1.48949	−	6.52587i	0.0693723	−	0.303940i	−0.928325	−	0.371771i	$-0.878751\pi$
$461$	1.48949	−	6.52587i	0.0693723	−	0.303940i	0.997697	+	0.0678310i	$0.0216079\pi$
$462$	13.0820	−	6.29997i	0.608631	−	0.293101i
$463$	7.10908	+	8.91451i	0.330387	+	0.414292i	0.919084	−	0.394061i	$-0.128930\pi$
$463$	7.10908	+	8.91451i	0.330387	+	0.414292i	−0.588697	+	0.808354i	$0.700359\pi$
$464$	5.76303	−	2.77533i	0.267542	−	0.128841i
$465$	−1.14222	+	1.43230i	−0.0529693	+	0.0664214i
$466$	37.7686			1.74960
$467$	9.61254			0.444815			0.222408	−	0.974954i	$-0.428608\pi$
$467$	9.61254			0.444815			0.222408	+	0.974954i	$0.428608\pi$
$468$	−27.8642	+	34.9407i	−1.28802	+	1.61513i
$469$	−4.63585	−	2.23251i	−0.214064	−	0.103088i
$470$	−0.915598	−	4.01150i	−0.0422334	−	0.185037i
$471$	−7.46715	+	32.7157i	−0.344068	+	1.50746i
$472$	33.8146			1.55644
$473$	21.5994	+	19.6762i	0.993143	+	0.904715i
$474$	−7.45963			−0.342632
$475$	1.49317	−	6.54200i	0.0685113	−	0.300168i
$476$	0.379183	+	1.66131i	0.0173798	+	0.0761460i
$477$	−45.4489	−	21.8870i	−2.08096	−	1.00214i
$478$	−43.0911	+	54.0345i	−1.97094	+	2.47148i
$479$	41.1102			1.87837			0.939187	−	0.343405i	$-0.111580\pi$
$479$	41.1102			1.87837			0.939187	+	0.343405i	$0.111580\pi$
$480$	11.2161			0.511943
$481$	−0.0782809	+	0.0981612i	−0.00356930	+	0.00447576i
$482$	−55.8295	+	26.8861i	−2.54296	+	1.22463i
$483$	2.79934	+	3.51027i	0.127375	+	0.159723i
$484$	−27.6632	+	13.3219i	−1.25742	+	0.605542i
$485$	−0.498156	+	2.18256i	−0.0226201	+	0.0991051i
$486$	19.9354	−	24.9982i	0.904287	−	1.13394i
$487$	5.07999	−	22.2569i	0.230196	−	1.00856i	−0.719281	−	0.694720i	$-0.755528\pi$
$487$	5.07999	−	22.2569i	0.230196	−	1.00856i	0.949477	−	0.313837i	$-0.101614\pi$
$488$	9.54890	+	4.59851i	0.432258	+	0.208165i
$489$	−21.3942	−	26.8275i	−0.967480	−	1.21318i
$490$	−9.03342	−	11.3275i	−0.408088	−	0.511726i
$491$	5.93644	+	26.0092i	0.267908	+	1.17378i	0.912442	+	0.409205i	$0.134194\pi$
$491$	5.93644	+	26.0092i	0.267908	+	1.17378i	−0.644535	+	0.764575i	$0.722949\pi$
$492$	79.5589	+	38.3135i	3.58679	+	1.72731i
$493$	−5.28018	+	2.54280i	−0.237807	+	0.114522i
$494$	2.14441	+	9.39527i	0.0964815	+	0.422713i
$495$	−4.58495	−	20.0880i	−0.206078	−	0.902888i
$496$	−0.692852	+	0.333660i	−0.0311100	+	0.0149818i
$497$	2.07656	+	1.00002i	0.0931465	+	0.0448570i
$498$	−4.02837	−	17.6494i	−0.180515	−	0.790890i
$499$	−5.37480	−	6.73978i	−0.240609	−	0.301714i	0.646835	−	0.762630i	$-0.276092\pi$
$499$	−5.37480	−	6.73978i	−0.240609	−	0.301714i	−0.887444	+	0.460916i	$0.847521\pi$
$500$	−18.1570	−	22.7682i	−0.812006	−	1.01822i
$501$	58.1790	+	28.0175i	2.59924	+	1.25173i
$502$	9.88026	−	43.2882i	0.440978	−	1.93205i
$503$	−19.6566	+	24.6486i	−0.876445	+	1.09903i	0.117920	+	0.993023i	$0.462377\pi$
$503$	−19.6566	+	24.6486i	−0.876445	+	1.09903i	−0.994366	+	0.106005i	$0.966194\pi$
$504$	−1.89333	+	8.29522i	−0.0843356	+	0.369498i
$505$	2.66539	−	1.28358i	0.118608	−	0.0571187i
$506$	−20.9295	−	26.2447i	−0.930429	−	1.16672i
$507$	−16.5430	+	7.96667i	−0.734698	+	0.353812i
$508$	0.170349	−	0.213611i	0.00755803	−	0.00947747i
$509$	−7.60272			−0.336984			−0.168492	−	0.985703i	$-0.553890\pi$
$509$	−7.60272			−0.336984			−0.168492	+	0.985703i	$0.553890\pi$
$510$	6.08010			0.269231
$511$	−2.67193	+	3.35049i	−0.118199	+	0.148217i
$512$	10.9936	+	5.29423i	0.485852	+	0.233974i
$513$	2.08133	+	9.11891i	0.0918931	+	0.402610i
$514$	−13.0285	+	57.0816i	−0.574663	+	2.51776i
$515$	−6.52939			−0.287719
$516$	−63.6900	+	10.1972i	−2.80379	+	0.448908i
$517$	8.55230			0.376130
$518$	−0.0125653	+	0.0550522i	−0.000552088	+	0.00241886i
$519$	−8.66023	−	37.9429i	−0.380142	−	1.66551i
$520$	7.24366	+	3.48837i	0.317656	+	0.152975i
$521$	−14.1926	+	17.7969i	−0.621789	+	0.779698i	−0.988595	−	0.150599i	$-0.951880\pi$
$521$	−14.1926	+	17.7969i	−0.621789	+	0.779698i	0.366806	+	0.930297i	$0.380451\pi$
$522$	−69.1281			−3.02566
$523$	−11.1608			−0.488026			−0.244013	−	0.969772i	$-0.578464\pi$
$523$	−11.1608			−0.488026			−0.244013	+	0.969772i	$0.578464\pi$
$524$	−17.0721	+	21.4077i	−0.745797	+	0.935200i
$525$	−5.22264	+	2.51509i	−0.227935	+	0.109768i
$526$	−15.9441	−	19.9932i	−0.695194	−	0.871745i
$527$	0.634802	−	0.305705i	0.0276524	−	0.0133167i
$528$	3.06925	−	13.4473i	0.133572	−	0.585217i
$529$	−7.86854	+	9.86684i	−0.342110	+	0.428993i
$530$	−4.77039	+	20.9004i	−0.207212	+	0.907856i
$531$	−44.7655	−	21.5579i	−1.94266	−	0.935534i
$532$	1.71394	+	2.14922i	0.0743089	+	0.0931804i
$533$	−14.2990	−	17.9304i	−0.619358	−	0.776650i
$534$	−19.2218	−	84.2161i	−0.831807	−	3.64439i
$535$	9.82266	+	4.73034i	0.424671	+	0.204511i
$536$	−32.3900	+	15.5982i	−1.39903	+	0.673739i
$537$	8.62291	+	37.7794i	0.372106	+	1.63030i
$538$	−1.21573	−	5.32646i	−0.0524138	−	0.229640i
$539$	27.1320	−	13.0661i	1.16866	−	0.562795i
$540$	16.6085	+	7.99824i	0.714716	+	0.344189i
$541$	7.22436	+	31.6520i	0.310600	+	1.36083i	0.853528	+	0.521047i	$0.174458\pi$
$541$	7.22436	+	31.6520i	0.310600	+	1.36083i	−0.542929	+	0.839779i	$0.682685\pi$
$542$	−10.5010	−	13.1678i	−0.451056	−	0.565607i
$543$	−17.0918	−	21.4324i	−0.733479	−	0.919754i
$544$	−3.88650	−	1.87164i	−0.166632	−	0.0802460i
$545$	0.746114	−	3.26894i	0.0319600	−	0.140026i
$546$	5.19049	−	6.50867i	0.222132	−	0.278545i
$547$	−2.47680	+	10.8516i	−0.105900	+	0.463980i	0.893974	+	0.448119i	$0.147906\pi$
$547$	−2.47680	+	10.8516i	−0.105900	+	0.463980i	−0.999874	+	0.0158605i	$0.994951\pi$
$548$	−10.1699	+	4.89758i	−0.434437	+	0.209214i
$549$	−9.70962	−	12.1755i	−0.414396	−	0.519637i
$550$	39.0474	−	18.8042i	1.66499	−	0.801816i
$551$	−5.89464	+	7.39165i	−0.251120	+	0.314895i
$552$	31.3695			1.33517
$553$	0.552643			0.0235008
$554$	−42.8507	+	53.7331i	−1.82055	+	2.28290i
$555$	0.115133	+	0.0554451i	0.00488712	+	0.00235351i
$556$	15.1134	+	66.2162i	0.640952	+	2.80819i
$557$	6.71047	−	29.4005i	0.284332	−	1.24574i	−0.607846	−	0.794055i	$-0.707966\pi$
$557$	6.71047	−	29.4005i	0.284332	−	1.24574i	0.892178	−	0.451684i	$-0.149177\pi$
$558$	8.31083			0.351826
$559$	16.0522	+	4.79087i	0.678937	+	0.202632i
$560$	0.491632			0.0207752
$561$	−2.81210	+	12.3206i	−0.118727	+	0.520176i
$562$	−3.07055	−	13.4529i	−0.129523	−	0.567478i
$563$	32.9585	+	15.8720i	1.38903	+	0.668923i	0.970905	−	0.239465i	$-0.0769719\pi$
$563$	32.9585	+	15.8720i	1.38903	+	0.668923i	0.418129	+	0.908388i	$0.362686\pi$
$564$	−11.7714	+	14.7609i	−0.495667	+	0.621546i
$565$	−5.43084			−0.228477
$566$	38.3524			1.61207
$567$	0.401882	−	0.503944i	0.0168775	−	0.0211637i
$568$	14.5086	−	6.98697i	0.608767	−	0.293167i
$569$	−6.85118	−	8.59111i	−0.287216	−	0.360158i	0.617202	−	0.786805i	$-0.288266\pi$
$569$	−6.85118	−	8.59111i	−0.287216	−	0.360158i	−0.904418	+	0.426647i	$0.859695\pi$
$570$	8.83710	−	4.25572i	0.370145	−	0.178253i
$571$	0.162489	−	0.711910i	0.00679995	−	0.0297925i	−0.971414	−	0.237391i	$-0.923708\pi$
$571$	0.162489	−	0.711910i	0.00679995	−	0.0297925i	0.978214	+	0.207599i	$0.0665648\pi$
$572$	−24.6130	+	30.8638i	−1.02912	+	1.29048i
$573$	−3.05148	+	13.3694i	−0.127477	+	0.558515i
$574$	−9.29312	−	4.47533i	−0.387887	−	0.186797i
$575$	8.35552	+	10.4775i	0.348449	+	0.436942i
$576$	−38.5898	−	48.3901i	−1.60791	−	2.01625i
$577$	3.33466	+	14.6101i	0.138824	+	0.608227i	0.995695	+	0.0926954i	$0.0295483\pi$
$577$	3.33466	+	14.6101i	0.138824	+	0.608227i	−0.856871	+	0.515531i	$0.827595\pi$
$578$	−2.10682	−	1.01459i	−0.0876322	−	0.0422014i
$579$	−35.8609	+	17.2697i	−1.49033	+	0.717704i
$580$	4.14619	+	18.1656i	0.172161	+	0.754288i
$581$	0.298439	+	1.30755i	0.0123814	+	0.0542463i
$582$	14.5920	−	7.02715i	0.604859	−	0.291285i
$583$	−40.1459	−	19.3332i	−1.66267	−	0.800701i
$584$	6.66265	+	29.1910i	0.275703	+	1.20793i
$585$	−7.36558	−	9.23615i	−0.304529	−	0.381868i
$586$	49.5878	+	62.1811i	2.04845	+	2.56868i
$587$	23.9115	+	11.5152i	0.986933	+	0.475282i	0.856484	−	0.516173i	$-0.172644\pi$
$587$	23.9115	+	11.5152i	0.986933	+	0.475282i	0.130449	+	0.991455i	$0.458358\pi$
$588$	−14.7931	+	64.8128i	−0.610057	+	2.67284i
$589$	0.708675	−	0.888651i	0.0292005	−	0.0366162i
$590$	−4.69866	+	20.5862i	−0.193441	+	0.847519i
$591$	−61.2976	+	29.5194i	−2.52145	+	1.21426i
$592$	0.0334448	+	0.0419384i	0.00137457	+	0.00172366i
$593$	−5.71146	+	2.75049i	−0.234542	+	0.112949i	−0.547463	−	0.836830i	$-0.684406\pi$
$593$	−5.71146	+	2.75049i	−0.234542	+	0.112949i	0.312922	+	0.949779i	$0.398692\pi$
$594$	−37.6655	+	47.2311i	−1.54544	+	1.93792i
$595$	−0.450441			−0.0184663
$596$	16.5488			0.677867
$597$	−5.86833	+	7.35865i	−0.240175	+	0.301169i
$598$	−17.3401	−	8.35057i	−0.709091	−	0.341480i
$599$	8.42729	+	36.9224i	0.344330	+	1.50861i	0.789831	+	0.613325i	$0.210168\pi$
$599$	8.42729	+	36.9224i	0.344330	+	1.50861i	−0.445501	+	0.895281i	$0.646974\pi$
$600$	−9.01222	+	39.4851i	−0.367923	+	1.61197i
$601$	31.1164			1.26927			0.634633	−	0.772814i	$-0.281151\pi$
$601$	31.1164			1.26927			0.634633	+	0.772814i	$0.281151\pi$
$602$	7.43950	−	1.19112i	0.303211	−	0.0485464i
$603$	52.8239			2.15115
$604$	−5.83323	+	25.5570i	−0.237351	+	1.03990i
$605$	−1.80603	−	7.91272i	−0.0734254	−	0.321698i
$606$	−19.2829	−	9.28614i	−0.783313	−	0.377224i
$607$	−23.4477	+	29.4025i	−0.951713	+	1.19341i	0.0293205	+	0.999570i	$0.490666\pi$
$607$	−23.4477	+	29.4025i	−0.951713	+	1.19341i	−0.981033	+	0.193840i	$0.937906\pi$
$608$	−6.95887			−0.282219
$609$	8.16715			0.330949
$610$	−4.12640	+	5.17434i	−0.167073	+	0.209503i
$611$	4.41780	−	2.12750i	0.178725	−	0.0860695i
$612$	−10.9073	−	13.6773i	−0.440902	−	0.552873i
$613$	12.0389	−	5.79762i	0.486246	−	0.234164i	−0.174665	−	0.984628i	$-0.555884\pi$
$613$	12.0389	−	5.79762i	0.486246	−	0.234164i	0.660911	+	0.750464i	$0.270170\pi$
$614$	−7.02864	+	30.7945i	−0.283653	+	1.24276i
$615$	−14.5535	+	18.2495i	−0.586855	+	0.735893i
$616$	−1.67241	+	7.32733i	−0.0673835	+	0.295226i
$617$	22.9655	+	11.0596i	0.924557	+	0.445243i	0.834696	−	0.550711i	$-0.185643\pi$
$617$	22.9655	+	11.0596i	0.924557	+	0.445243i	0.0898611	+	0.995954i	$0.471358\pi$
$618$	29.4519	+	36.9315i	1.18473	+	1.48560i
$619$	16.9659	+	21.2746i	0.681917	+	0.855097i	0.995529	−	0.0944539i	$-0.0301105\pi$
$619$	16.9659	+	21.2746i	0.681917	+	0.855097i	−0.313612	+	0.949551i	$0.601539\pi$
$620$	−0.498470	−	2.18394i	−0.0200190	−	0.0877091i
$621$	−16.8301	−	8.10494i	−0.675368	−	0.325240i
$622$	21.8880	−	10.5407i	0.877629	−	0.422644i
$623$	1.42403	+	6.23910i	0.0570527	+	0.249964i
$624$	−1.75973	−	7.70988i	−0.0704456	−	0.308642i
$625$	−11.8026	+	5.68385i	−0.472105	+	0.227354i
$626$	−33.9989	−	16.3730i	−1.35887	−	0.654397i
$627$	4.53648	+	19.8756i	0.181170	+	0.793757i
$628$	−25.5835	−	32.0807i	−1.02089	−	1.28016i
$629$	−0.0306426	−	0.0384246i	−0.00122180	−	0.00153209i
$630$	−4.78700	−	2.30530i	−0.190719	−	0.0918453i
$631$	−2.46025	+	10.7790i	−0.0979409	+	0.429107i	−0.999997	−	0.00251209i	$-0.999200\pi$
$631$	−2.46025	+	10.7790i	−0.0979409	+	0.429107i	0.902056	+	0.431619i	$0.142058\pi$
$632$	2.40744	−	3.01883i	0.0957627	−	0.120083i
$633$	−0.535619	+	2.34670i	−0.0212889	+	0.0932729i
$634$	36.8382	−	17.7403i	1.46303	−	0.704559i
$635$	0.0450299	+	0.0564657i	0.00178696	+	0.00224077i
$636$	88.6254	−	42.6797i	3.51422	−	1.69236i
$637$	10.7650	−	13.4989i	0.426525	−	0.534846i
$638$	−61.0622			−2.41748
$639$	−23.6617			−0.936040
$640$	−11.4686	+	14.3812i	−0.453338	+	0.568468i
$641$	−17.7884	−	8.56643i	−0.702599	−	0.338354i	0.0482432	−	0.998836i	$-0.484638\pi$
$641$	−17.7884	−	8.56643i	−0.702599	−	0.338354i	−0.750842	+	0.660482i	$0.770352\pi$
$642$	−17.5510	−	76.8959i	−0.692682	−	3.03484i
$643$	0.410960	−	1.80053i	0.0162067	−	0.0710060i	−0.966178	−	0.257876i	$-0.916977\pi$
$643$	0.410960	−	1.80053i	0.0162067	−	0.0710060i	0.982385	+	0.186870i	$0.0598344\pi$
$644$	−5.49001			−0.216337
$645$	1.11836	−	17.0134i	0.0440352	−	0.669902i
$646$	−3.77231			−0.148419
$647$	9.38503	−	41.1185i	0.368964	−	1.61654i	−0.360668	−	0.932694i	$-0.617451\pi$
$647$	9.38503	−	41.1185i	0.368964	−	1.61654i	0.729631	−	0.683841i	$-0.239692\pi$
$648$	−1.00212	−	4.39059i	−0.0393671	−	0.172479i
$649$	−39.5422	−	19.0425i	−1.55217	−	0.747485i
$650$	15.4926	−	19.4272i	0.607672	−	0.761996i
$651$	−0.981884			−0.0384831
$652$	41.9579			1.64320
$653$	−20.3163	+	25.4758i	−0.795037	+	0.996945i	0.204798	+	0.978804i	$0.434346\pi$
$653$	−20.3163	+	25.4758i	−0.795037	+	0.996945i	−0.999835	+	0.0181411i	$0.994225\pi$
$654$	−21.8552	+	10.5249i	−0.854607	+	0.411557i
$655$	−4.51280	−	5.65887i	−0.176330	−	0.221110i
$656$	−8.82791	+	4.25130i	−0.344672	+	0.165985i
$657$	9.78986	−	42.8922i	0.381939	−	1.67338i
$658$	1.37500	−	1.72419i	0.0536030	−	0.0672160i
$659$	10.2818	−	45.0473i	0.400521	−	1.75480i	−0.224778	−	0.974410i	$-0.572166\pi$
$659$	10.2818	−	45.0473i	0.400521	−	1.75480i	0.625299	−	0.780385i	$-0.284977\pi$
$660$	36.2000	+	17.4330i	1.40908	+	0.678579i
$661$	1.77461	+	2.22529i	0.0690243	+	0.0865537i	0.815145	−	0.579257i	$-0.196657\pi$
$661$	1.77461	+	2.22529i	0.0690243	+	0.0865537i	−0.746121	+	0.665811i	$0.768086\pi$
$662$	32.8683	+	41.2155i	1.27746	+	1.60189i
$663$	1.61229	+	7.06392i	0.0626163	+	0.274340i
$664$	8.44260	+	4.06574i	0.327636	+	0.157781i
$665$	−0.654692	+	0.315283i	−0.0253879	+	0.0122262i
$666$	−0.128998	−	0.565178i	−0.00499858	−	0.0219002i
$667$	−4.20151	−	18.4080i	−0.162683	−	0.712761i
$668$	−71.1398	+	34.2591i	−2.75248	+	1.32552i
$669$	−48.7596	−	23.4814i	−1.88516	−	0.907844i
$670$	−4.99540	−	21.8863i	−0.192989	−	0.845540i
$671$	−8.57669	−	10.7548i	−0.331100	−	0.415186i
$672$	3.74809	+	4.69996i	0.144586	+	0.181305i
$673$	−25.4730	−	12.2672i	−0.981912	−	0.472864i	−0.127150	−	0.991884i	$-0.540583\pi$
$673$	−25.4730	−	12.2672i	−0.981912	−	0.472864i	−0.854762	+	0.519020i	$0.826297\pi$
$674$	−15.5487	+	68.1232i	−0.598913	+	2.62401i
$675$	15.0369	−	18.8557i	0.578772	−	0.725757i
$676$	4.99598	−	21.8888i	0.192153	−	0.841878i
$677$	−15.8141	+	7.61565i	−0.607783	+	0.292693i	−0.712349	−	0.701825i	$-0.752369\pi$
$677$	−15.8141	+	7.61565i	−0.607783	+	0.292693i	0.104566	+	0.994518i	$0.466655\pi$
$678$	24.4967	+	30.7179i	0.940789	+	1.17971i
$679$	−1.08104	+	0.520603i	−0.0414866	+	0.0199789i
$680$	−1.96222	+	2.46055i	−0.0752478	+	0.0943577i
$681$	21.6396			0.829233
$682$	7.34112			0.281106
$683$	−17.8796	+	22.4203i	−0.684142	+	0.857887i	−0.995728	−	0.0923307i	$-0.970568\pi$
$683$	−17.8796	+	22.4203i	−0.684142	+	0.857887i	0.311586	+	0.950218i	$0.399140\pi$
$684$	−25.4265	−	12.2448i	−0.972208	−	0.468191i
$685$	−0.663955	−	2.90898i	−0.0253684	−	0.111146i
$686$	3.51763	−	15.4117i	0.134304	−	0.588423i
$687$	35.6714			1.36095
$688$	3.52162	−	6.23074i	0.134260	−	0.237545i
$689$	−25.5473			−0.973275
$690$	−4.35890	+	19.0976i	−0.165940	+	0.727033i
$691$	−6.07028	−	26.5956i	−0.230924	−	1.01175i	−0.948875	−	0.315652i	$-0.897777\pi$
$691$	−6.07028	−	26.5956i	−0.230924	−	1.01175i	0.717951	−	0.696094i	$-0.245080\pi$
$692$	42.8760	+	20.6480i	1.62990	+	0.784920i
$693$	6.88544	−	8.63407i	0.261556	−	0.327981i
$694$	−20.1334			−0.764254
$695$	−17.9536			−0.681019
$696$	35.5779	−	44.6133i	1.34858	−	1.69106i
$697$	8.08827	−	3.89511i	0.306365	−	0.147538i
$698$	−45.2960	−	56.7994i	−1.71448	−	2.14989i
$699$	41.2730	−	19.8760i	1.56109	−	0.751780i
$700$	1.57724	−	6.91034i	0.0596141	−	0.261186i
$701$	16.2485	−	20.3750i	0.613698	−	0.769553i	−0.373744	−	0.927532i	$-0.621926\pi$
$701$	16.2485	−	20.3750i	0.613698	−	0.769553i	0.987443	+	0.157979i	$0.0504977\pi$
$702$	−7.70725	+	33.7677i	−0.290892	+	1.27448i
$703$	−0.0714325	−	0.0344001i	−0.00269413	−	0.00129742i
$704$	−34.0871	−	42.7439i	−1.28471	−	1.61097i
$705$	−3.11164	−	3.90187i	−0.117191	−	0.146953i
$706$	−12.2969	−	53.8761i	−0.462799	−	2.02766i
$707$	1.42856	+	0.687959i	0.0537266	+	0.0258734i
$708$	87.2928	−	42.0380i	3.28066	−	1.57988i
$709$	−5.58733	−	24.4797i	−0.209836	−	0.919353i	−0.964675	−	0.263443i	$-0.915142\pi$
$709$	−5.58733	−	24.4797i	−0.209836	−	0.919353i	0.754839	−	0.655911i	$-0.227715\pi$
$710$	2.23761	+	9.80363i	0.0839761	+	0.367923i
$711$	−5.11169	+	2.46166i	−0.191703	+	0.0923195i
$712$	40.2847	+	19.4001i	1.50973	+	0.727049i
$713$	0.505120	+	2.21308i	0.0189169	+	0.0828804i
$714$	2.03179	+	2.54778i	0.0760378	+	0.0953483i
$715$	−6.50616	−	8.15847i	−0.243317	−	0.305109i
$716$	−42.6913	−	20.5590i	−1.59545	−	0.768327i
$717$	−18.6532	+	81.7252i	−0.696618	+	3.05208i
$718$	14.6874	−	18.4174i	0.548129	−	0.687332i
$719$	−8.82483	+	38.6641i	−0.329111	+	1.44193i	0.491718	+	0.870754i	$0.336369\pi$
$719$	−8.82483	+	38.6641i	−0.329111	+	1.44193i	−0.820829	+	0.571174i	$0.806488\pi$
$720$	−4.54737	+	2.18990i	−0.169470	+	0.0816126i
$721$	−2.18193	−	2.73605i	−0.0812592	−	0.101896i
$722$	34.5467	−	16.6368i	1.28570	−	0.619159i
$723$	−46.8607	+	58.7615i	−1.74277	+	2.18536i
$724$	33.5201			1.24576
$725$	24.3774			0.905355
$726$	−36.6095	+	45.9069i	−1.35871	+	1.70376i
$727$	45.2251	+	21.7792i	1.67730	+	0.807747i	0.997212	+	0.0746211i	$0.0237747\pi$
$727$	45.2251	+	21.7792i	1.67730	+	0.807747i	0.680093	+	0.733126i	$0.261940\pi$
$728$	0.958866	+	4.20107i	0.0355379	+	0.155702i
$729$	9.50535	−	41.6457i	0.352050	−	1.54243i
$730$	−18.6971			−0.692011
$731$	−3.22656	+	5.70870i	−0.119339	+	0.211144i
$732$	30.3674			1.12241
$733$	11.7727	−	51.5795i	0.434834	−	1.90513i	0.00980604	−	0.999952i	$-0.496879\pi$
$733$	11.7727	−	51.5795i	0.434834	−	1.90513i	0.425028	−	0.905180i	$-0.360264\pi$
$734$	−6.66121	−	29.1847i	−0.245870	−	1.07723i
$735$	−15.8328	−	7.62468i	−0.584002	−	0.281241i
$736$	8.66511	−	10.8657i	0.319400	−	0.400515i
$737$	46.6603			1.71876
$738$	105.892			3.89793
$739$	−5.35271	+	6.71209i	−0.196903	+	0.246908i	−0.870474	−	0.492214i	$-0.836188\pi$
$739$	−5.35271	+	6.71209i	−0.196903	+	0.246908i	0.673572	+	0.739122i	$0.264759\pi$
$740$	−0.140782	+	0.0677969i	−0.00517524	+	0.00249226i
$741$	7.28772	+	9.13851i	0.267721	+	0.335712i
$742$	−10.3522	+	4.98534i	−0.380040	+	0.183017i
$743$	4.62228	−	20.2515i	0.169575	−	0.742957i	−0.816594	−	0.577213i	$-0.804140\pi$
$743$	4.62228	−	20.2515i	0.169575	−	0.742957i	0.986169	−	0.165744i	$-0.0530025\pi$
$744$	−4.27731	+	5.36357i	−0.156814	+	0.196638i
$745$	−0.973416	+	4.26481i	−0.0356632	+	0.156251i
$746$	62.7952	+	30.2406i	2.29910	+	1.10719i
$747$	−8.58469	−	10.7649i	−0.314098	−	0.393866i
$748$	−9.63463	−	12.0814i	−0.352277	−	0.441741i
$749$	1.30026	+	5.69679i	0.0475103	+	0.208156i
$750$	−50.1760	−	24.1635i	−1.83217	−	0.882325i
$751$	−12.5015	+	6.02039i	−0.456185	+	0.219687i	−0.647842	−	0.761775i	$-0.724328\pi$
$751$	−12.5015	+	6.02039i	−0.456185	+	0.219687i	0.191657	+	0.981462i	$0.438614\pi$
$752$	−0.466165	−	2.04240i	−0.0169993	−	0.0744788i
$753$	−11.9838	−	52.5044i	−0.436713	−	1.91337i
$754$	−31.5425	+	15.1901i	−1.14871	+	0.553190i
$755$	−6.24321	−	3.00657i	−0.227214	−	0.109420i
$756$	2.19852	+	9.63234i	0.0799593	+	0.350325i
$757$	14.8177	+	18.5808i	0.538558	+	0.675330i	0.974433	−	0.224677i	$-0.0721326\pi$
$757$	14.8177	+	18.5808i	0.538558	+	0.675330i	−0.435876	+	0.900007i	$0.643561\pi$
$758$	23.3146	+	29.2356i	0.846826	+	1.06189i
$759$	−36.6830	−	17.6656i	−1.33151	−	0.641220i
$760$	−1.12974	+	4.94972i	−0.0409800	+	0.179545i
$761$	29.8346	−	37.4114i	1.08150	−	1.35616i	0.151566	−	0.988447i	$-0.451568\pi$
$761$	29.8346	−	37.4114i	1.08150	−	1.35616i	0.929938	−	0.367716i	$-0.119860\pi$
$762$	0.116266	−	0.509395i	0.00421188	−	0.0184534i
$763$	1.61913	−	0.779733i	0.0586165	−	0.0282282i
$764$	−10.4548	−	13.1099i	−0.378241	−	0.474300i
$765$	4.16637	−	2.00642i	0.150635	−	0.0725422i
$766$	8.57806	−	10.7565i	0.309938	−	0.388650i
$767$	−25.1632			−0.908589
$768$	63.4728			2.29038
$769$	6.07075	−	7.61248i	0.218917	−	0.274513i	−0.660231	−	0.751063i	$-0.729541\pi$
$769$	6.07075	−	7.61248i	0.218917	−	0.274513i	0.879147	+	0.476550i	$0.158113\pi$
$770$	−4.22845	−	2.03631i	−0.152383	−	0.0733837i
$771$	15.8023	+	69.2344i	0.569106	+	2.49342i
$772$	10.8300	−	47.4493i	0.389780	−	1.70774i
$773$	−49.8336			−1.79239			−0.896195	−	0.443660i	$-0.853680\pi$
$773$	−49.8336			−1.79239			−0.896195	+	0.443660i	$0.853680\pi$
$774$	−63.5063	+	44.1554i	−2.28269	+	1.58713i
$775$	−2.93074			−0.105275
$776$	−1.86545	+	8.17309i	−0.0669659	+	0.293397i
$777$	0.0152405	+	0.0667730i	0.000546750	+	0.00239547i
$778$	22.6535	+	10.9093i	0.812167	+	0.391119i
$779$	9.02952	−	11.3227i	0.323516	−	0.405676i
$780$	23.0363			0.824832
$781$	−20.9008			−0.747889
$782$	4.69724	−	5.89015i	0.167973	−	0.210631i
$783$	−30.6147	+	14.7433i	−1.09408	+	0.526881i
$784$	−4.59925	−	5.76728i	−0.164259	−	0.205974i
$785$	9.77237	−	4.70613i	0.348791	−	0.167969i
$786$	−11.6520	+	51.0506i	−0.415611	+	1.82091i
$787$	3.52747	−	4.42331i	0.125741	−	0.157674i	−0.714976	−	0.699149i	$-0.753562\pi$
$787$	3.52747	−	4.42331i	0.125741	−	0.157674i	0.840717	+	0.541475i	$0.182134\pi$
$788$	18.5119	−	81.1059i	0.659459	−	2.88928i
$789$	−27.9450	−	13.4576i	−0.994870	−	0.479104i
$790$	1.50333	+	1.88511i	0.0534859	+	0.0670693i
$791$	−1.81482	−	2.27572i	−0.0645277	−	0.0809152i
$792$	−17.1694	−	75.2239i	−0.610087	−	2.67296i
$793$	−7.10582	−	3.42198i	−0.252335	−	0.121518i
$794$	−44.0040	+	21.1912i	−1.56165	+	0.752049i
$795$	5.78601	+	25.3502i	0.205209	+	0.899078i
$796$	−2.56096	−	11.2203i	−0.0907707	−	0.397692i
$797$	−2.04062	+	0.982712i	−0.0722825	+	0.0348094i	−0.469676	−	0.882839i	$-0.655629\pi$
$797$	−2.04062	+	0.982712i	−0.0722825	+	0.0348094i	0.397393	+	0.917648i	$0.369915\pi$
$798$	4.73640	+	2.28093i	0.167667	+	0.0807440i
$799$	0.427108	+	1.87128i	0.0151100	+	0.0662012i
$800$	11.1874	+	14.0285i	0.395533	+	0.495982i
$801$	−40.9627	−	51.3657i	−1.44735	−	1.81492i
$802$	−66.3320	−	31.9438i	−2.34226	−	1.12798i
$803$	8.64757	−	37.8875i	0.305166	−	1.33702i
$804$	−64.2236	+	80.5338i	−2.26499	+	2.84021i
$805$	0.322927	−	1.41483i	0.0113817	−	0.0498664i
$806$	3.79215	−	1.82620i	0.133573	−	0.0643253i
$807$	−4.13163	−	5.18090i	−0.145440	−	0.182376i
$808$	9.98113	−	4.80666i	0.351135	−	0.169098i
$809$	11.1186	−	13.9422i	0.390908	−	0.490183i	−0.546968	−	0.837153i	$-0.684218\pi$
$809$	11.1186	−	13.9422i	0.390908	−	0.490183i	0.937876	+	0.346971i	$0.112790\pi$
$810$	2.81222			0.0988112
$811$	47.5523			1.66979			0.834893	−	0.550412i	$-0.185529\pi$
$811$	47.5523			1.66979			0.834893	+	0.550412i	$0.185529\pi$
$812$	−6.22653	+	7.80782i	−0.218508	+	0.274001i
$813$	−18.4050	−	8.86340i	−0.645493	−	0.310853i
$814$	−0.113947	−	0.499233i	−0.00399383	−	0.0174981i
$815$	−2.46800	+	10.8130i	−0.0864502	+	0.378763i
$816$	3.09560			0.108368
$817$	−0.693867	+	10.5557i	−0.0242754	+	0.369297i
$818$	43.6683			1.52683
$819$	1.40892	−	6.17289i	0.0492317	−	0.215698i
$820$	−6.35121	−	27.8265i	−0.221794	−	0.971742i
$821$	12.3646	+	5.95446i	0.431527	+	0.207812i	0.637022	−	0.770846i	$-0.280166\pi$
$821$	12.3646	+	5.95446i	0.431527	+	0.207812i	−0.205495	+	0.978658i	$0.565880\pi$
$822$	−13.4589	+	16.8769i	−0.469432	+	0.588649i
$823$	−11.0439			−0.384965			−0.192483	−	0.981300i	$-0.561654\pi$
$823$	−11.0439			−0.384965			−0.192483	+	0.981300i	$0.561654\pi$
$824$	−24.4507			−0.851781
$825$	32.7746	−	41.0981i	1.14107	−	1.43085i
$826$	−10.1965	+	4.91037i	−0.354781	+	0.170854i
$827$	24.4908	+	30.7104i	0.851627	+	1.06791i	0.996913	+	0.0785169i	$0.0250184\pi$
$827$	24.4908	+	30.7104i	0.851627	+	1.06791i	−0.145286	+	0.989390i	$0.546410\pi$
$828$	50.7801	−	24.4544i	1.76473	−	0.849849i
$829$	12.2765	−	53.7867i	0.426379	−	1.86809i	−0.0661785	−	0.997808i	$-0.521081\pi$
$829$	12.2765	−	53.7867i	0.426379	−	1.86809i	0.492557	−	0.870280i	$-0.336062\pi$
$830$	−3.64833	+	4.57486i	−0.126635	+	0.158796i
$831$	−18.5492	+	81.2694i	−0.643465	+	2.81920i
$832$	−28.2413	−	13.6003i	−0.979090	−	0.471505i
$833$	4.21390	+	5.28407i	0.146003	+	0.183082i
$834$	80.9827	+	101.549i	2.80420	+	3.51636i
$835$	−4.64444	−	20.3486i	−0.160728	−	0.704193i
$836$	−22.4597	−	10.8160i	−0.776787	−	0.374081i
$837$	3.68061	−	1.77249i	0.127220	−	0.0612661i
$838$	6.49155	+	28.4413i	0.224247	+	0.982489i
$839$	2.26753	+	9.93471i	0.0782839	+	0.342984i	0.998868	−	0.0475591i	$-0.0151443\pi$
$839$	2.26753	+	9.93471i	0.0782839	+	0.342984i	−0.920584	+	0.390543i	$0.872287\pi$
$840$	3.95148	−	1.90293i	0.136339	−	0.0656574i
$841$	−4.81670	−	2.31960i	−0.166093	−	0.0799862i
$842$	15.3475	+	67.2418i	0.528910	+	2.31730i
$843$	−10.4352	−	13.0853i	−0.359407	−	0.450682i
$844$	−1.83510	−	2.30115i	−0.0631669	−	0.0792088i
$845$	5.34711	+	2.57503i	0.183946	+	0.0885839i
$846$	−5.03795	+	22.0727i	−0.173208	+	0.758874i
$847$	2.71220	−	3.40099i	0.0931922	−	0.116859i
$848$	−2.42878	+	10.6412i	−0.0834047	+	0.365420i
$849$	41.9110	−	20.1833i	1.43838	−	0.692688i
$850$	6.06451	+	7.60466i	0.208011	+	0.260838i
$851$	0.142660	−	0.0687014i	0.00489032	−	0.00235505i
$852$	28.7680	−	36.0739i	0.985574	−	1.23587i
$853$	−37.6170			−1.28798			−0.643991	−	0.765033i	$-0.722723\pi$
$853$	−37.6170			−1.28798			−0.643991	+	0.765033i	$0.722723\pi$
$854$	−3.54716			−0.121381
$855$	4.65122	−	5.83244i	0.159068	−	0.199465i
$856$	36.7831	+	17.7138i	1.25722	+	0.605446i
$857$	8.75143	+	38.3425i	0.298943	+	1.30976i	0.871704	+	0.490033i	$0.163015\pi$
$857$	8.75143	+	38.3425i	0.298943	+	1.30976i	−0.572761	+	0.819723i	$0.694128\pi$
$858$	−16.7988	+	73.6002i	−0.573501	+	2.51267i
$859$	−22.0727			−0.753111			−0.376556	−	0.926394i	$-0.622892\pi$
$859$	−22.0727			−0.753111			−0.376556	+	0.926394i	$0.622892\pi$
$860$	15.4123	+	14.0400i	0.525553	+	0.478759i
$861$	−12.5106			−0.426359
$862$	0.959413	−	4.20347i	0.0326778	−	0.143171i
$863$	4.35111	+	19.0634i	0.148113	+	0.648927i	0.993409	+	0.114627i	$0.0365674\pi$
$863$	4.35111	+	19.0634i	0.148113	+	0.648927i	−0.845295	+	0.534300i	$0.820575\pi$
$864$	−22.5341	−	10.8519i	−0.766626	−	0.369188i
$865$	−7.84322	+	9.83508i	−0.266677	+	0.334403i
$866$	−1.08414			−0.0368407
$867$	−2.83624			−0.0963238
$868$	0.748576	−	0.938685i	0.0254083	−	0.0318610i
$869$	−4.51525	+	2.17443i	−0.153170	+	0.0737626i
$870$	22.2167	+	27.8588i	0.753216	+	0.944502i
$871$	24.1030	−	11.6074i	0.816700	−	0.393302i
$872$	2.79399	−	12.2413i	0.0946163	−	0.414541i
$873$	7.68020	−	9.63066i	0.259935	−	0.325949i
$874$	2.70441	−	11.8488i	0.0914782	−	0.400792i
$875$	3.71726	+	1.79014i	0.125666	+	0.0605177i
$876$	53.4897	+	67.0739i	1.80725	+	2.26622i
$877$	−9.84080	−	12.3400i	−0.332300	−	0.416691i	0.587410	−	0.809290i	$-0.300148\pi$
$877$	−9.84080	−	12.3400i	−0.332300	−	0.416691i	−0.919710	+	0.392598i	$0.871576\pi$
$878$	−10.8841	−	47.6864i	−0.367321	−	1.60934i
$879$	86.9122	+	41.8547i	2.93148	+	1.41172i
$880$	−4.01678	+	1.93438i	−0.135406	+	0.0652079i
$881$	−5.55106	−	24.3208i	−0.187020	−	0.819388i	−0.978177	−	0.207775i	$-0.933378\pi$
$881$	−5.55106	−	24.3208i	−0.187020	−	0.819388i	0.791157	−	0.611613i	$-0.209479\pi$
$882$	17.7395	+	77.7220i	0.597321	+	2.61703i
$883$	−18.6979	+	9.00443i	−0.629234	+	0.303023i	−0.721187	−	0.692740i	$-0.756403\pi$
$883$	−18.6979	+	9.00443i	−0.629234	+	0.303023i	0.0919532	+	0.995763i	$0.470689\pi$
$884$	−7.98233	−	3.84409i	−0.268475	−	0.129291i
$885$	5.69901	+	24.9690i	0.191570	+	0.839323i
$886$	44.0576	+	55.2465i	1.48014	+	1.85604i
$887$	−4.37191	−	5.48221i	−0.146795	−	0.184075i	0.702998	−	0.711192i	$-0.251844\pi$
$887$	−4.37191	−	5.48221i	−0.146795	−	0.184075i	−0.849793	+	0.527117i	$0.823273\pi$
$888$	0.431140	+	0.207626i	0.0144681	+	0.00696748i
$889$	−0.00861352	+	0.0377383i	−0.000288888	+	0.00126570i
$890$	−17.4084	+	21.8294i	−0.583530	+	0.731724i
$891$	−1.30067	+	5.69862i	−0.0435742	+	0.190911i
$892$	59.6221	−	28.7125i	1.99629	−	0.961365i
$893$	1.93057	+	2.42086i	0.0646040	+	0.0810109i
$894$	28.5134	−	13.7313i	0.953630	−	0.459244i
$895$	7.80942	−	9.79270i	0.261040	−	0.327334i
$896$	−9.85874			−0.329357
$897$	−23.3436			−0.779421
$898$	−43.4015	+	54.4238i	−1.44833	+	1.81615i
$899$	3.72029	+	1.79160i	0.124079	+	0.0597532i
$900$	16.1923	+	70.9430i	0.539742	+	2.36477i
$901$	2.22529	−	9.74962i	0.0741351	−	0.324807i
$902$	93.5362			3.11441
$903$	7.50295	−	5.21674i	0.249683	−	0.173602i
$904$	−20.3370			−0.676397
$905$	−1.97168	+	8.63848i	−0.0655407	+	0.287153i
$906$	11.1553	+	48.8744i	0.370609	+	1.62374i
$907$	−31.5375	−	15.1877i	−1.04719	−	0.504299i	−0.170499	−	0.985358i	$-0.554538\pi$
$907$	−31.5375	−	15.1877i	−1.04719	−	0.504299i	−0.876688	+	0.481059i	$0.840252\pi$
$908$	−16.4978	+	20.6876i	−0.547499	+	0.686542i
$909$	−16.2779			−0.539905
$910$	−2.69082			−0.0892000
$911$	−18.5029	+	23.2019i	−0.613027	+	0.768712i	−0.987345	−	0.158589i	$-0.949306\pi$
$911$	−18.5029	+	23.2019i	−0.613027	+	0.768712i	0.374317	+	0.927301i	$0.377877\pi$
$912$	4.49930	−	2.16675i	0.148987	−	0.0717482i
$913$	−7.58303	−	9.50881i	−0.250962	−	0.314696i
$914$	67.9368	−	32.7166i	2.24715	−	1.08217i
$915$	−1.78623	+	7.82601i	−0.0590511	+	0.258720i
$916$	−27.1955	+	34.1020i	−0.898564	+	1.12676i
$917$	0.863229	−	3.78205i	0.0285063	−	0.124894i
$918$	−12.2154	−	5.88264i	−0.403169	−	0.194156i
$919$	24.1191	+	30.2444i	0.795615	+	0.997670i	0.999824	+	0.0187427i	$0.00596634\pi$
$919$	24.1191	+	30.2444i	0.795615	+	0.997670i	−0.204209	+	0.978927i	$0.565462\pi$
$920$	−6.32184	−	7.92734i	−0.208425	−	0.261357i
$921$	8.52505	+	37.3507i	0.280910	+	1.23075i
$922$	14.1024	+	6.79136i	0.464438	+	0.223661i
$923$	−10.7966	+	5.19936i	−0.355374	+	0.171139i
$924$	4.79190	+	20.9947i	0.157642	+	0.690675i
$925$	0.0454901	+	0.199305i	0.00149570	+	0.00655311i
$926$	−24.0221	+	11.5685i	−0.789416	+	0.380163i
$927$	32.3691	+	15.5881i	1.06314	+	0.511982i
$928$	−5.62547	−	24.6468i	−0.184665	−	0.809071i
$929$	10.7515	+	13.4820i	0.352747	+	0.442331i	0.926271	−	0.376858i	$-0.122996\pi$
$929$	10.7515	+	13.4820i	0.352747	+	0.442331i	−0.573524	+	0.819189i	$0.694424\pi$
$930$	−2.67097	−	3.34929i	−0.0875845	−	0.109827i
$931$	9.82323	+	4.73062i	0.321943	+	0.155040i
$932$	−12.4645	+	54.6104i	−0.408287	+	1.78882i
$933$	18.3718	−	23.0375i	0.601465	−	0.754213i
$934$	−5.00180	+	21.9143i	−0.163664	+	0.717059i
$935$	3.68023	−	1.77231i	0.120357	−	0.0579607i
$936$	−27.5820	−	34.5868i	−0.901547	−	1.13050i
$937$	11.2982	−	5.44091i	0.369095	−	0.177747i	−0.240137	−	0.970739i	$-0.577192\pi$
$937$	11.2982	−	5.44091i	0.369095	−	0.177747i	0.609232	+	0.792992i	$0.291478\pi$
$938$	7.50183	−	9.40699i	0.244943	−	0.307149i
$939$	−45.7700			−1.49365
$940$	6.10248			0.199041
$941$	12.3519	−	15.4888i	0.402660	−	0.504920i	−0.538619	−	0.842550i	$-0.681054\pi$
$941$	12.3519	−	15.4888i	0.402660	−	0.504920i	0.941279	+	0.337629i	$0.109625\pi$
$942$	−70.6987	−	34.0467i	−2.30349	−	1.10930i
$943$	6.43594	+	28.1977i	0.209583	+	0.918244i
$944$	−2.39226	+	10.4812i	−0.0778614	+	0.341133i
$945$	−2.61168			−0.0849578
$946$	−56.0963	+	39.0033i	−1.82385	+	1.26811i
$947$	−8.69384			−0.282512			−0.141256	−	0.989973i	$-0.545114\pi$
$947$	−8.69384			−0.282512			−0.141256	+	0.989973i	$0.545114\pi$
$948$	2.46184	−	10.7860i	0.0799570	−	0.350314i
$949$	−4.95802	−	21.7225i	−0.160944	−	0.705142i
$950$	14.1373	+	6.80815i	0.458674	+	0.220886i
$951$	30.9203	−	38.7728i	1.00266	−	1.25729i
$952$	−1.68677			−0.0546687
$953$	−32.8329			−1.06356			−0.531781	−	0.846882i	$-0.678477\pi$
$953$	−32.8329			−1.06356			−0.531781	+	0.846882i	$0.678477\pi$
$954$	73.5462	−	92.2241i	2.38115	−	2.98586i
$955$	3.99352	−	1.92318i	0.129227	−	0.0622326i
$956$	−63.9086	−	80.1389i	−2.06695	−	2.59188i
$957$	−66.7280	+	32.1345i	−2.15701	+	1.03876i
$958$	−21.3914	+	93.7217i	−0.691124	+	3.02801i
$959$	0.997093	−	1.25031i	0.0321978	−	0.0403748i
$960$	−7.09919	+	31.1036i	−0.229125	+	1.00386i
$961$	27.4828	+	13.2350i	0.886541	+	0.426936i
$962$	−0.183052	−	0.229539i	−0.00590182	−	0.00740065i
$963$	−37.4022	−	46.9009i	−1.20527	−	1.51136i
$964$	−20.4502	−	89.5981i	−0.658656	−	2.88576i
$965$	11.5912	+	5.58201i	0.373133	+	0.179691i
$966$	−9.45920	+	4.55531i	−0.304345	+	0.146565i
$967$	−8.77359	−	38.4396i	−0.282140	−	1.23613i	−0.895044	−	0.445978i	$-0.852856\pi$
$967$	−8.77359	−	38.4396i	−0.282140	−	1.23613i	0.612904	−	0.790157i	$-0.290001\pi$
$968$	−6.76306	−	29.6309i	−0.217373	−	0.952374i
$969$	−4.12233	+	1.98521i	−0.132428	+	0.0637741i
$970$	−4.71652	−	2.27136i	−0.151438	−	0.0729289i
$971$	−6.33739	−	27.7659i	−0.203377	−	0.891051i	−0.968863	−	0.247599i	$-0.920359\pi$
$971$	−6.33739	−	27.7659i	−0.203377	−	0.891051i	0.765486	−	0.643453i	$-0.222499\pi$
$972$	29.5663	+	37.0749i	0.948338	+	1.18918i
$973$	−5.99956	−	7.52321i	−0.192337	−	0.241183i
$974$	48.0972	+	23.1624i	1.54113	+	0.742170i
$975$	6.70645	−	29.3829i	0.214778	−	0.941006i
$976$	−2.10090	+	2.63445i	−0.0672483	+	0.0843267i
$977$	10.0793	−	44.1605i	0.322467	−	1.41282i	−0.510681	−	0.859770i	$-0.670607\pi$
$977$	10.0793	−	44.1605i	0.322467	−	1.41282i	0.833148	−	0.553050i	$-0.186536\pi$
$978$	72.2927	−	34.8143i	2.31167	−	1.11324i
$979$	−36.1832	−	45.3723i	−1.15642	−	1.45010i
$980$	19.3600	−	9.32327i	0.618432	−	0.297821i
$981$	−11.5030	+	14.4243i	−0.367263	+	0.460534i
$982$	−62.3839			−1.99075
$983$	−44.4203			−1.41679			−0.708394	−	0.705818i	$-0.750580\pi$
$983$	−44.4203			−1.41679			−0.708394	+	0.705818i	$0.750580\pi$
$984$	−54.4989	+	68.3394i	−1.73736	+	2.17858i
$985$	19.8130	+	9.54143i	0.631294	+	0.304015i
$986$	−3.04949	−	13.3607i	−0.0971156	−	0.425491i
$987$	0.595208	−	2.60778i	0.0189457	−	0.0830065i
$988$	−14.2925			−0.454706
$989$	−15.6179	−	14.2273i	−0.496620	−	0.452401i
$990$	48.1816			1.53131
$991$	10.0759	−	44.1453i	0.320071	−	1.40232i	−0.517355	−	0.855771i	$-0.673083\pi$
$991$	10.0759	−	44.1453i	0.320071	−	1.40232i	0.837426	−	0.546551i	$-0.184060\pi$
$992$	0.676315	+	2.96313i	0.0214730	+	0.0940794i
$993$	57.6080	+	27.7426i	1.82814	+	0.880384i
$994$	−3.36033	+	4.21372i	−0.106583	+	0.133651i
$995$	3.04222			0.0964450
$996$	26.8491			0.850747
$997$	−15.7604	+	19.7630i	−0.499138	+	0.625899i	−0.966035	−	0.258413i	$-0.916801\pi$
$997$	−15.7604	+	19.7630i	−0.499138	+	0.625899i	0.466897	+	0.884312i	$0.345372\pi$
$998$	18.1619	−	8.74629i	0.574903	−	0.276859i
$999$	−0.177667	−	0.222788i	−0.00562114	−	0.00704869i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	731.2.k.b.35.3	✓	180
43.16	even	7	inner	731.2.k.b.188.3	yes	180

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
731.2.k.b.35.3	✓	180	1.1	even	1	trivial
731.2.k.b.188.3	yes	180	43.16	even	7	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:	\( N \)	\(=\)	\( 731 = 17 \cdot 43 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	731.k (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.520342 + 2.27977i) q^{2} +(0.631123 + 2.76513i) q^{3} +(-3.12464 - 1.50475i) q^{4} +(0.571583 - 0.716742i) q^{5} -6.63225 q^{6} +0.491347 q^{7} +(2.14042 - 2.68400i) q^{8} +(-4.54473 + 2.18863i) q^{9} +O(q^{10})\)	\(q+(-0.520342 + 2.27977i) q^{2} +(0.631123 + 2.76513i) q^{3} +(-3.12464 - 1.50475i) q^{4} +(0.571583 - 0.716742i) q^{5} -6.63225 q^{6} +0.491347 q^{7} +(2.14042 - 2.68400i) q^{8} +(-4.54473 + 2.18863i) q^{9} +(1.33659 + 1.67603i) q^{10} +(-4.01445 + 1.93326i) q^{11} +(2.18879 - 9.58971i) q^{12} +(-1.59279 + 1.99730i) q^{13} +(-0.255668 + 1.12016i) q^{14} +(2.34263 + 1.12815i) q^{15} +(0.680505 + 0.853327i) q^{16} +(-0.623490 - 0.781831i) q^{17} +(-2.62474 - 11.4997i) q^{18} +(-1.45345 - 0.699943i) q^{19} +(-2.86450 + 1.37947i) q^{20} +(0.310100 + 1.35864i) q^{21} +(-2.31849 - 10.1580i) q^{22} +(2.90272 - 1.39788i) q^{23} +(8.77247 + 4.22460i) q^{24} +(0.925592 + 4.05528i) q^{25} +(-3.72458 - 4.67047i) q^{26} +(-3.61502 - 4.53309i) q^{27} +(-1.53528 - 0.739352i) q^{28} +(1.30410 - 5.71362i) q^{29} +(-3.79088 + 4.75361i) q^{30} +(-0.156783 + 0.686912i) q^{31} +(3.88650 - 1.87164i) q^{32} +(-7.87932 - 9.88035i) q^{33} +(2.10682 - 1.01459i) q^{34} +(0.280845 - 0.352169i) q^{35} +17.4940 q^{36} +0.0491470 q^{37} +(2.35199 - 2.94931i) q^{38} +(-6.52804 - 3.14374i) q^{39} +(-0.700309 - 3.06825i) q^{40} +(-1.99764 + 8.75222i) q^{41} -3.25874 q^{42} +(-2.45152 - 6.08195i) q^{43} +15.4528 q^{44} +(-1.02901 + 4.50838i) q^{45} +(1.67642 + 7.34489i) q^{46} +(-1.72932 - 0.832799i) q^{47} +(-1.93008 + 2.42024i) q^{48} -6.75858 q^{49} -9.72672 q^{50} +(1.76837 - 2.21746i) q^{51} +(7.98233 - 3.84409i) q^{52} +(6.23512 + 7.81859i) q^{53} +(12.2154 - 5.88264i) q^{54} +(-0.908943 + 3.98234i) q^{55} +(1.05169 - 1.31877i) q^{56} +(1.01813 - 4.46072i) q^{57} +(12.3471 + 5.94607i) q^{58} +(6.14136 + 7.70102i) q^{59} +(-5.62228 - 7.05011i) q^{60} +(0.686982 + 3.00987i) q^{61} +(-1.48442 - 0.714858i) q^{62} +(-2.23304 + 1.07537i) q^{63} +(2.73033 + 11.9624i) q^{64} +(0.521135 + 2.28324i) q^{65} +(26.6248 - 12.8218i) q^{66} +(-9.43500 - 4.54365i) q^{67} +(0.771722 + 3.38113i) q^{68} +(5.69729 + 7.14417i) q^{69} +(0.656727 + 0.823510i) q^{70} +(4.22626 + 2.03526i) q^{71} +(-3.85335 + 16.8826i) q^{72} +(-5.43797 + 6.81900i) q^{73} +(-0.0255732 + 0.112044i) q^{74} +(-10.6292 + 5.11877i) q^{75} +(3.48826 + 4.37414i) q^{76} +(-1.97249 + 0.949899i) q^{77} +(10.5638 - 13.2466i) q^{78} +1.12475 q^{79} +1.00058 q^{80} +(0.817920 - 1.02564i) q^{81} +(-18.9136 - 9.10829i) q^{82} +(0.607391 + 2.66115i) q^{83} +(1.07545 - 4.71187i) q^{84} -0.916747 q^{85} +(15.1410 - 2.42419i) q^{86} +16.6220 q^{87} +(-3.40374 + 14.9127i) q^{88} +(2.89823 + 12.6980i) q^{89} +(-9.74261 - 4.69179i) q^{90} +(-0.782614 + 0.981366i) q^{91} -11.1734 q^{92} -1.99835 q^{93} +(2.79843 - 3.50911i) q^{94} +(-1.33244 + 0.641671i) q^{95} +(7.62820 + 9.56546i) q^{96} +(-2.20016 + 1.05954i) q^{97} +(3.51677 - 15.4080i) q^{98} +(14.0134 - 17.5722i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 180 q + 2 q^{3} - 34 q^{4} + 2 q^{5} + 6 q^{6} - 54 q^{7} + 14 q^{8} - 18 q^{9}+O(q^{10}) \) 180 * q + 2 * q^3 - 34 * q^4 + 2 * q^5 + 6 * q^6 - 54 * q^7 + 14 * q^8 - 18 * q^9	\( 180 q + 2 q^{3} - 34 q^{4} + 2 q^{5} + 6 q^{6} - 54 q^{7} + 14 q^{8} - 18 q^{9} - 8 q^{10} + 4 q^{11} - 4 q^{12} - 5 q^{13} + 24 q^{14} + 11 q^{15} - 58 q^{16} + 30 q^{17} - 84 q^{18} - 4 q^{20} - 28 q^{21} - 49 q^{22} - 23 q^{23} - 6 q^{24} - 14 q^{25} + 14 q^{26} + 20 q^{27} - 14 q^{28} - 60 q^{29} - 5 q^{30} + 36 q^{31} + 39 q^{32} - 39 q^{33} - 14 q^{35} + 224 q^{36} - 184 q^{37} + 32 q^{38} + 58 q^{39} + 22 q^{40} - 48 q^{41} - 58 q^{42} + 2 q^{43} + 134 q^{44} - 54 q^{45} - 5 q^{46} - 35 q^{47} + 44 q^{48} + 174 q^{49} - 70 q^{50} - 2 q^{51} - 22 q^{52} + 8 q^{53} + 70 q^{54} + 51 q^{55} - 61 q^{56} + 72 q^{57} + 29 q^{58} + 35 q^{59} + 96 q^{60} - 40 q^{61} + 20 q^{62} - 35 q^{63} - 18 q^{64} - 17 q^{65} - 218 q^{66} + 16 q^{67} + 27 q^{68} + 50 q^{69} + 72 q^{70} - 20 q^{71} - 143 q^{72} - 4 q^{73} - 35 q^{74} - 45 q^{75} - 148 q^{76} + 40 q^{77} - 220 q^{78} - 12 q^{79} - 222 q^{80} + 12 q^{81} + 50 q^{82} + 16 q^{83} - 170 q^{84} - 2 q^{85} + 108 q^{86} + 78 q^{87} - 14 q^{88} + 55 q^{89} + 105 q^{90} - 53 q^{91} - 28 q^{92} - 142 q^{93} + 108 q^{94} - 49 q^{95} - 148 q^{96} + 73 q^{97} + 6 q^{98} - 73 q^{99}+O(q^{100}) \) 180 * q + 2 * q^3 - 34 * q^4 + 2 * q^5 + 6 * q^6 - 54 * q^7 + 14 * q^8 - 18 * q^9 - 8 * q^10 + 4 * q^11 - 4 * q^12 - 5 * q^13 + 24 * q^14 + 11 * q^15 - 58 * q^16 + 30 * q^17 - 84 * q^18 - 4 * q^20 - 28 * q^21 - 49 * q^22 - 23 * q^23 - 6 * q^24 - 14 * q^25 + 14 * q^26 + 20 * q^27 - 14 * q^28 - 60 * q^29 - 5 * q^30 + 36 * q^31 + 39 * q^32 - 39 * q^33 - 14 * q^35 + 224 * q^36 - 184 * q^37 + 32 * q^38 + 58 * q^39 + 22 * q^40 - 48 * q^41 - 58 * q^42 + 2 * q^43 + 134 * q^44 - 54 * q^45 - 5 * q^46 - 35 * q^47 + 44 * q^48 + 174 * q^49 - 70 * q^50 - 2 * q^51 - 22 * q^52 + 8 * q^53 + 70 * q^54 + 51 * q^55 - 61 * q^56 + 72 * q^57 + 29 * q^58 + 35 * q^59 + 96 * q^60 - 40 * q^61 + 20 * q^62 - 35 * q^63 - 18 * q^64 - 17 * q^65 - 218 * q^66 + 16 * q^67 + 27 * q^68 + 50 * q^69 + 72 * q^70 - 20 * q^71 - 143 * q^72 - 4 * q^73 - 35 * q^74 - 45 * q^75 - 148 * q^76 + 40 * q^77 - 220 * q^78 - 12 * q^79 - 222 * q^80 + 12 * q^81 + 50 * q^82 + 16 * q^83 - 170 * q^84 - 2 * q^85 + 108 * q^86 + 78 * q^87 - 14 * q^88 + 55 * q^89 + 105 * q^90 - 53 * q^91 - 28 * q^92 - 142 * q^93 + 108 * q^94 - 49 * q^95 - 148 * q^96 + 73 * q^97 + 6 * q^98 - 73 * q^99

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