LMFDB - Embedded newform 350.2.h.d.141.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [350,2,Mod(71,350)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(350, base_ring=CyclotomicField(10))

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

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

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

chi := DirichletCharacter("350.71");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 350 = 2 \cdot 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	350.h (of order $5$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.79476407074$
Analytic rank:	$0$
Dimension:	$20$
Relative dimension:	$5$ over $\Q(\zeta_{5})$
Coefficient field:	$\mathbb{Q}[x]/(x^{20} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{20} - 3 x^{19} + 15 x^{18} - 30 x^{17} + 145 x^{16} - 194 x^{15} + 1187 x^{14} - 1490 x^{13} + \cdots + 400 $ x^20 - 3x^19 + 15x^18 - 30x^17 + 145x^16 - 194x^15 + 1187x^14 - 1490x^13 + 10170x^12 - 13920x^11 + 42087x^10 - 591x^9 + 65635x^8 + 120715x^7 + 257180x^6 + 306283x^5 + 246171x^4 + 99850x^3 + 26260x^2 + 4200*x + 400
Coefficient ring:	$\Z[a_1, \ldots, a_{5}]$
Coefficient ring index:	$ 5^{2} $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			141.3
Root			$-0.0727237 - 0.223820i$ of defining polynomial
Character	$\chi$	$=$	350.141
Dual form			350.2.h.d.211.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.809017 + 0.587785i) q^{2} +(-0.0727237 - 0.223820i) q^{3} +(0.309017 + 0.951057i) q^{4} +(1.97315 - 1.05198i) q^{5} +(0.0727237 - 0.223820i) q^{6} +1.00000 q^{7} +(-0.309017 + 0.951057i) q^{8} +(2.38224 - 1.73080i) q^{9} +O(q^{10})$	\(q+(0.809017 + 0.587785i) q^{2} +(-0.0727237 - 0.223820i) q^{3} +(0.309017 + 0.951057i) q^{4} +(1.97315 - 1.05198i) q^{5} +(0.0727237 - 0.223820i) q^{6} +1.00000 q^{7} +(-0.309017 + 0.951057i) q^{8} +(2.38224 - 1.73080i) q^{9} +(2.21465 + 0.308716i) q^{10} +(-2.81931 - 2.04835i) q^{11} +(0.190393 - 0.138329i) q^{12} +(-0.624050 + 0.453399i) q^{13} +(0.809017 + 0.587785i) q^{14} +(-0.378950 - 0.365128i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(0.149888 - 0.461307i) q^{17} +2.94462 q^{18} +(-2.01429 + 6.19934i) q^{19} +(1.61023 + 1.55150i) q^{20} +(-0.0727237 - 0.223820i) q^{21} +(-1.07688 - 3.31430i) q^{22} +(6.90600 + 5.01750i) q^{23} +0.235339 q^{24} +(2.78666 - 4.15145i) q^{25} -0.771369 q^{26} +(-1.13181 - 0.822310i) q^{27} +(0.309017 + 0.951057i) q^{28} +(-1.84532 - 5.67931i) q^{29} +(-0.0919607 - 0.518136i) q^{30} +(-1.20329 + 3.70335i) q^{31} -1.00000 q^{32} +(-0.253432 + 0.779983i) q^{33} +(0.392411 - 0.285103i) q^{34} +(1.97315 - 1.05198i) q^{35} +(2.38224 + 1.73080i) q^{36} +(-1.06158 + 0.771285i) q^{37} +(-5.27348 + 3.83140i) q^{38} +(0.146863 + 0.106702i) q^{39} +(0.390759 + 2.20166i) q^{40} +(-5.86485 + 4.26106i) q^{41} +(0.0727237 - 0.223820i) q^{42} -7.85350 q^{43} +(1.07688 - 3.31430i) q^{44} +(2.87975 - 5.92122i) q^{45} +(2.63786 + 8.11849i) q^{46} +(-3.48688 - 10.7315i) q^{47} +(0.190393 + 0.138329i) q^{48} +1.00000 q^{49} +(4.69461 - 1.72064i) q^{50} -0.114150 q^{51} +(-0.624050 - 0.453399i) q^{52} +(2.66397 + 8.19887i) q^{53} +(-0.432314 - 1.33053i) q^{54} +(-7.71776 - 1.07583i) q^{55} +(-0.309017 + 0.951057i) q^{56} +1.53403 q^{57} +(1.84532 - 5.67931i) q^{58} +(-8.49774 + 6.17397i) q^{59} +(0.230155 - 0.473234i) q^{60} +(-10.5731 - 7.68182i) q^{61} +(-3.15026 + 2.28880i) q^{62} +(2.38224 - 1.73080i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(-0.754377 + 1.55112i) q^{65} +(-0.663493 + 0.482056i) q^{66} +(2.45478 - 7.55504i) q^{67} +0.485047 q^{68} +(0.620790 - 1.91059i) q^{69} +(2.21465 + 0.308716i) q^{70} +(-0.0996959 - 0.306832i) q^{71} +(0.909936 + 2.80050i) q^{72} +(6.07554 + 4.41414i) q^{73} -1.31219 q^{74} +(-1.13184 - 0.321802i) q^{75} -6.51837 q^{76} +(-2.81931 - 2.04835i) q^{77} +(0.0560967 + 0.172648i) q^{78} +(0.331230 + 1.01942i) q^{79} +(-0.977973 + 2.01086i) q^{80} +(2.62807 - 8.08836i) q^{81} -7.24935 q^{82} +(-1.48918 + 4.58323i) q^{83} +(0.190393 - 0.138329i) q^{84} +(-0.189536 - 1.06791i) q^{85} +(-6.35362 - 4.61617i) q^{86} +(-1.13695 + 0.826040i) q^{87} +(2.81931 - 2.04835i) q^{88} +(-9.89994 - 7.19273i) q^{89} +(5.81017 - 3.09769i) q^{90} +(-0.624050 + 0.453399i) q^{91} +(-2.63786 + 8.11849i) q^{92} +0.916393 q^{93} +(3.48688 - 10.7315i) q^{94} +(2.54711 + 14.3512i) q^{95} +(0.0727237 + 0.223820i) q^{96} +(-0.340108 - 1.04675i) q^{97} +(0.809017 + 0.587785i) q^{98} -10.2616 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 20 q + 5 q^{2} + 3 q^{3} - 5 q^{4} - 5 q^{5} - 3 q^{6} + 20 q^{7} + 5 q^{8} - 6 q^{9}+O(q^{10}) $ 20 * q + 5 * q^2 + 3 * q^3 - 5 * q^4 - 5 * q^5 - 3 * q^6 + 20 * q^7 + 5 * q^8 - 6 * q^9	\( 20 q + 5 q^{2} + 3 q^{3} - 5 q^{4} - 5 q^{5} - 3 q^{6} + 20 q^{7} + 5 q^{8} - 6 q^{9} - 9 q^{11} - 2 q^{12} + 5 q^{13} + 5 q^{14} - 5 q^{16} - 12 q^{17} - 34 q^{18} + 2 q^{19} + 5 q^{20} + 3 q^{21} - 6 q^{22} - 5 q^{23} + 2 q^{24} - 35 q^{25} + 20 q^{26} - 6 q^{27} - 5 q^{28} - 22 q^{29} - 25 q^{30} - 7 q^{31} - 20 q^{32} + 25 q^{33} - 18 q^{34} - 5 q^{35} - 6 q^{36} - 3 q^{37} + 8 q^{38} - 22 q^{39} + 19 q^{41} - 3 q^{42} + 2 q^{43} + 6 q^{44} + 45 q^{45} - 10 q^{46} - 14 q^{47} - 2 q^{48} + 20 q^{49} + 10 q^{50} + 38 q^{51} + 5 q^{52} - q^{53} - 19 q^{54} - 20 q^{55} + 5 q^{56} + 116 q^{57} + 22 q^{58} + 17 q^{59} - 5 q^{60} - 38 q^{61} + 7 q^{62} - 6 q^{63} - 5 q^{64} + 15 q^{65} - 16 q^{67} - 12 q^{68} + 35 q^{69} + q^{71} + 11 q^{72} + 19 q^{73} + 18 q^{74} + 35 q^{75} + 12 q^{76} - 9 q^{77} - 18 q^{78} - 64 q^{79} - 40 q^{81} + 26 q^{82} + 57 q^{83} - 2 q^{84} - 40 q^{85} - 2 q^{86} - 78 q^{87} + 9 q^{88} - 6 q^{89} + 10 q^{90} + 5 q^{91} + 10 q^{92} - 22 q^{93} + 14 q^{94} + 60 q^{95} - 3 q^{96} - 18 q^{97} + 5 q^{98} + 112 q^{99}+O(q^{100}) \) 20 * q + 5 * q^2 + 3 * q^3 - 5 * q^4 - 5 * q^5 - 3 * q^6 + 20 * q^7 + 5 * q^8 - 6 * q^9 - 9 * q^11 - 2 * q^12 + 5 * q^13 + 5 * q^14 - 5 * q^16 - 12 * q^17 - 34 * q^18 + 2 * q^19 + 5 * q^20 + 3 * q^21 - 6 * q^22 - 5 * q^23 + 2 * q^24 - 35 * q^25 + 20 * q^26 - 6 * q^27 - 5 * q^28 - 22 * q^29 - 25 * q^30 - 7 * q^31 - 20 * q^32 + 25 * q^33 - 18 * q^34 - 5 * q^35 - 6 * q^36 - 3 * q^37 + 8 * q^38 - 22 * q^39 + 19 * q^41 - 3 * q^42 + 2 * q^43 + 6 * q^44 + 45 * q^45 - 10 * q^46 - 14 * q^47 - 2 * q^48 + 20 * q^49 + 10 * q^50 + 38 * q^51 + 5 * q^52 - q^53 - 19 * q^54 - 20 * q^55 + 5 * q^56 + 116 * q^57 + 22 * q^58 + 17 * q^59 - 5 * q^60 - 38 * q^61 + 7 * q^62 - 6 * q^63 - 5 * q^64 + 15 * q^65 - 16 * q^67 - 12 * q^68 + 35 * q^69 + q^71 + 11 * q^72 + 19 * q^73 + 18 * q^74 + 35 * q^75 + 12 * q^76 - 9 * q^77 - 18 * q^78 - 64 * q^79 - 40 * q^81 + 26 * q^82 + 57 * q^83 - 2 * q^84 - 40 * q^85 - 2 * q^86 - 78 * q^87 + 9 * q^88 - 6 * q^89 + 10 * q^90 + 5 * q^91 + 10 * q^92 - 22 * q^93 + 14 * q^94 + 60 * q^95 - 3 * q^96 - 18 * q^97 + 5 * q^98 + 112 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/350\mathbb{Z}\right)^\times$.

$n$	$101$	$127$
$\chi(n)$	$1$	$e\left(\frac{1}{5}\right)$

Coefficient data

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

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

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

$2$	0.809017	+	0.587785i	0.572061	+	0.415627i
$2$	0.809017	+	0.587785i	0.572061	+	0.415627i
$3$	−0.0727237	−	0.223820i	−0.0419870	−	0.129223i	0.927866	−	0.372914i	$-0.121642\pi$
$3$	−0.0727237	−	0.223820i	−0.0419870	−	0.129223i	−0.969853	+	0.243692i	$0.921642\pi$
$4$	0.309017	+	0.951057i	0.154508	+	0.475528i
$5$	1.97315	−	1.05198i	0.882420	−	0.470462i
$5$	1.97315	−	1.05198i	0.882420	−	0.470462i
$6$	0.0727237	−	0.223820i	0.0296893	−	0.0913743i
$7$	1.00000			0.377964
$7$	1.00000			0.377964
$8$	−0.309017	+	0.951057i	−0.109254	+	0.336249i
$9$	2.38224	−	1.73080i	0.794081	−	0.576934i
$10$	2.21465	+	0.308716i	0.700335	+	0.0976247i
$11$	−2.81931	−	2.04835i	−0.850054	−	0.617601i	0.0751066	−	0.997176i	$-0.476070\pi$
$11$	−2.81931	−	2.04835i	−0.850054	−	0.617601i	−0.925161	+	0.379575i	$0.876070\pi$
$12$	0.190393	−	0.138329i	0.0549617	−	0.0399320i
$13$	−0.624050	+	0.453399i	−0.173080	+	0.125750i	−0.670953	−	0.741500i	$-0.734115\pi$
$13$	−0.624050	+	0.453399i	−0.173080	+	0.125750i	0.497873	+	0.867250i	$0.334115\pi$
$14$	0.809017	+	0.587785i	0.216219	+	0.157092i
$15$	−0.378950	−	0.365128i	−0.0978446	−	0.0942755i
$16$	−0.809017	+	0.587785i	−0.202254	+	0.146946i
$17$	0.149888	−	0.461307i	0.0363531	−	0.111883i	−0.931233	−	0.364424i	$-0.881266\pi$
$17$	0.149888	−	0.461307i	0.0363531	−	0.111883i	0.967586	+	0.252540i	$0.0812660\pi$
$18$	2.94462			0.694053
$19$	−2.01429	+	6.19934i	−0.462109	+	1.42223i	0.400472	+	0.916309i	$0.368846\pi$
$19$	−2.01429	+	6.19934i	−0.462109	+	1.42223i	−0.862582	+	0.505918i	$0.831154\pi$
$20$	1.61023	+	1.55150i	0.360059	+	0.346926i
$21$	−0.0727237	−	0.223820i	−0.0158696	−	0.0488416i
$22$	−1.07688	−	3.31430i	−0.229592	−	0.706611i
$23$	6.90600	+	5.01750i	1.44000	+	1.04622i	0.988042	+	0.154182i	$0.0492743\pi$
$23$	6.90600	+	5.01750i	1.44000	+	1.04622i	0.451958	+	0.892039i	$0.350726\pi$
$24$	0.235339			0.0480383
$25$	2.78666	−	4.15145i	0.557332	−	0.830290i
$26$	−0.771369			−0.151278
$27$	−1.13181	−	0.822310i	−0.217818	−	0.158254i
$28$	0.309017	+	0.951057i	0.0583987	+	0.179733i
$29$	−1.84532	−	5.67931i	−0.342667	−	1.05462i	−0.962821	−	0.270141i	$-0.912930\pi$
$29$	−1.84532	−	5.67931i	−0.342667	−	1.05462i	0.620154	−	0.784480i	$-0.287070\pi$
$30$	−0.0919607	−	0.518136i	−0.0167897	−	0.0945982i
$31$	−1.20329	+	3.70335i	−0.216118	+	0.665142i	0.782955	+	0.622079i	$0.213712\pi$
$31$	−1.20329	+	3.70335i	−0.216118	+	0.665142i	−0.999072	+	0.0430629i	$0.986288\pi$
$32$	−1.00000			−0.176777
$33$	−0.253432	+	0.779983i	−0.0441168	+	0.135778i
$34$	0.392411	−	0.285103i	0.0672980	−	0.0488948i
$35$	1.97315	−	1.05198i	0.333524	−	0.177818i
$36$	2.38224	+	1.73080i	0.397041	+	0.288467i
$37$	−1.06158	+	0.771285i	−0.174523	+	0.126798i	−0.671618	−	0.740898i	$-0.734400\pi$
$37$	−1.06158	+	0.771285i	−0.174523	+	0.126798i	0.497095	+	0.867696i	$0.334400\pi$
$38$	−5.27348	+	3.83140i	−0.855471	+	0.621536i
$39$	0.146863	+	0.106702i	0.0235169	+	0.0170860i
$40$	0.390759	+	2.20166i	0.0617844	+	0.348113i
$41$	−5.86485	+	4.26106i	−0.915935	+	0.665466i	−0.942509	−	0.334181i	$-0.891540\pi$
$41$	−5.86485	+	4.26106i	−0.915935	+	0.665466i	0.0265738	+	0.999647i	$0.491540\pi$
$42$	0.0727237	−	0.223820i	0.0112215	−	0.0345362i
$43$	−7.85350			−1.19765			−0.598824	−	0.800881i	$-0.704365\pi$
$43$	−7.85350			−1.19765			−0.598824	+	0.800881i	$0.704365\pi$
$44$	1.07688	−	3.31430i	0.162346	−	0.499649i
$45$	2.87975	−	5.92122i	0.429288	−	0.882683i
$46$	2.63786	+	8.11849i	0.388931	+	1.19701i
$47$	−3.48688	−	10.7315i	−0.508613	−	1.56535i	−0.794611	−	0.607120i	$-0.792325\pi$
$47$	−3.48688	−	10.7315i	−0.508613	−	1.56535i	0.285998	−	0.958230i	$-0.407675\pi$
$48$	0.190393	+	0.138329i	0.0274809	+	0.0199660i
$49$	1.00000			0.142857
$50$	4.69461	−	1.72064i	0.663919	−	0.243335i
$51$	−0.114150			−0.0159842
$52$	−0.624050	−	0.453399i	−0.0865402	−	0.0628751i
$53$	2.66397	+	8.19887i	0.365925	+	1.12620i	0.949400	+	0.314070i	$0.101693\pi$
$53$	2.66397	+	8.19887i	0.365925	+	1.12620i	−0.583475	+	0.812131i	$0.698307\pi$
$54$	−0.432314	−	1.33053i	−0.0588305	−	0.181062i
$55$	−7.71776	−	1.07583i	−1.04066	−	0.145065i
$56$	−0.309017	+	0.951057i	−0.0412941	+	0.127090i
$57$	1.53403			0.203187
$58$	1.84532	−	5.67931i	0.242302	−	0.745729i
$59$	−8.49774	+	6.17397i	−1.10631	+	0.803782i	−0.982079	−	0.188471i	$-0.939647\pi$
$59$	−8.49774	+	6.17397i	−1.10631	+	0.803782i	−0.124232	+	0.992253i	$0.539647\pi$
$60$	0.230155	−	0.473234i	0.0297129	−	0.0610942i
$61$	−10.5731	−	7.68182i	−1.35375	−	0.983556i	−0.998815	−	0.0486646i	$-0.984503\pi$
$61$	−10.5731	−	7.68182i	−1.35375	−	0.983556i	−0.354934	−	0.934891i	$-0.615497\pi$
$62$	−3.15026	+	2.28880i	−0.400083	+	0.290678i
$63$	2.38224	−	1.73080i	0.300135	−	0.218061i
$64$	−0.809017	−	0.587785i	−0.101127	−	0.0734732i
$65$	−0.754377	+	1.55112i	−0.0935690	+	0.192392i
$66$	−0.663493	+	0.482056i	−0.0816703	+	0.0593370i
$67$	2.45478	−	7.55504i	0.299899	−	0.922996i	−0.681632	−	0.731695i	$-0.738730\pi$
$67$	2.45478	−	7.55504i	0.299899	−	0.922996i	0.981532	−	0.191301i	$-0.0612705\pi$
$68$	0.485047			0.0588206
$69$	0.620790	−	1.91059i	0.0747343	−	0.230009i
$70$	2.21465	+	0.308716i	0.264702	+	0.0368987i
$71$	−0.0996959	−	0.306832i	−0.0118317	−	0.0364143i	0.944966	−	0.327168i	$-0.106094\pi$
$71$	−0.0996959	−	0.306832i	−0.0118317	−	0.0364143i	−0.956798	+	0.290753i	$0.906094\pi$
$72$	0.909936	+	2.80050i	0.107237	+	0.330042i
$73$	6.07554	+	4.41414i	0.711088	+	0.516636i	0.883525	−	0.468385i	$-0.155164\pi$
$73$	6.07554	+	4.41414i	0.711088	+	0.516636i	−0.172436	+	0.985021i	$0.555164\pi$
$74$	−1.31219			−0.152539
$75$	−1.13184	−	0.321802i	−0.130693	−	0.0371585i
$76$	−6.51837			−0.747709
$77$	−2.81931	−	2.04835i	−0.321290	−	0.233431i
$78$	0.0560967	+	0.172648i	0.00635170	+	0.0195485i
$79$	0.331230	+	1.01942i	0.0372662	+	0.114694i	0.967959	−	0.251108i	$-0.0807949\pi$
$79$	0.331230	+	1.01942i	0.0372662	+	0.114694i	−0.930693	+	0.365802i	$0.880795\pi$
$80$	−0.977973	+	2.01086i	−0.109341	+	0.224821i
$81$	2.62807	−	8.08836i	0.292008	−	0.898707i
$82$	−7.24935			−0.800557
$83$	−1.48918	+	4.58323i	−0.163459	+	0.503074i	−0.998919	−	0.0464759i	$-0.985201\pi$
$83$	−1.48918	+	4.58323i	−0.163459	+	0.503074i	0.835461	+	0.549550i	$0.185201\pi$
$84$	0.190393	−	0.138329i	0.0207736	−	0.0150929i
$85$	−0.189536	−	1.06791i	−0.0205581	−	0.115831i
$86$	−6.35362	−	4.61617i	−0.685128	−	0.497775i
$87$	−1.13695	+	0.826040i	−0.121893	+	0.0885608i
$88$	2.81931	−	2.04835i	0.300540	−	0.218355i
$89$	−9.89994	−	7.19273i	−1.04939	−	0.762428i	−0.0772949	−	0.997008i	$-0.524628\pi$
$89$	−9.89994	−	7.19273i	−1.04939	−	0.762428i	−0.972097	+	0.234581i	$0.924628\pi$
$90$	5.81017	−	3.09769i	0.612446	−	0.326525i
$91$	−0.624050	+	0.453399i	−0.0654182	+	0.0475291i
$92$	−2.63786	+	8.11849i	−0.275016	+	0.846411i
$93$	0.916393			0.0950256
$94$	3.48688	−	10.7315i	0.359644	−	1.10687i
$95$	2.54711	+	14.3512i	0.261328	+	1.47241i
$96$	0.0727237	+	0.223820i	0.00742233	+	0.0228436i
$97$	−0.340108	−	1.04675i	−0.0345328	−	0.106281i	0.932304	−	0.361675i	$-0.117795\pi$
$97$	−0.340108	−	1.04675i	−0.0345328	−	0.106281i	−0.966837	+	0.255394i	$0.917795\pi$
$98$	0.809017	+	0.587785i	0.0817231	+	0.0593753i
$99$	−10.2616			−1.03133
$100$	4.80939	+	1.36740i	0.480939	+	0.136740i
$101$	13.1146			1.30495			0.652475	−	0.757811i	$-0.273731\pi$
$101$	13.1146			1.30495			0.652475	+	0.757811i	$0.273731\pi$
$102$	−0.0923495	−	0.0670959i	−0.00914397	−	0.00664348i
$103$	2.51189	+	7.73082i	0.247504	+	0.761740i	0.995214	+	0.0977148i	$0.0311533\pi$
$103$	2.51189	+	7.73082i	0.247504	+	0.761740i	−0.747710	+	0.664025i	$0.768847\pi$
$104$	−0.238366	−	0.733615i	−0.0233737	−	0.0719369i
$105$	−0.378950	−	0.365128i	−0.0369818	−	0.0356328i
$106$	−2.66397	+	8.19887i	−0.258748	+	0.796344i
$107$	18.4064			1.77941			0.889707	−	0.456533i	$-0.150909\pi$
$107$	18.4064			1.77941			0.889707	+	0.456533i	$0.150909\pi$
$108$	0.432314	−	1.33053i	0.0415995	−	0.128030i
$109$	−11.0616	+	8.03675i	−1.05951	+	0.769781i	−0.973998	−	0.226556i	$-0.927253\pi$
$109$	−11.0616	+	8.03675i	−1.05951	+	0.769781i	−0.0855140	+	0.996337i	$0.527253\pi$
$110$	−5.61144	−	5.40675i	−0.535030	−	0.515514i
$111$	0.249831	+	0.181513i	0.0237130	+	0.0172285i
$112$	−0.809017	+	0.587785i	−0.0764449	+	0.0555405i
$113$	7.29979	−	5.30360i	0.686706	−	0.498921i	−0.188870	−	0.982002i	$-0.560482\pi$
$113$	7.29979	−	5.30360i	0.686706	−	0.498921i	0.875576	+	0.483081i	$0.160482\pi$
$114$	1.24105	+	0.901678i	0.116235	+	0.0844498i
$115$	18.9049	+	2.63529i	1.76289	+	0.245742i
$116$	4.83111	−	3.51000i	0.448557	−	0.325896i
$117$	−0.701896	+	2.16021i	−0.0648903	+	0.199712i
$118$	−10.5038			−0.966951
$119$	0.149888	−	0.461307i	0.0137402	−	0.0422880i
$120$	0.464359	−	0.247573i	0.0423900	−	0.0226002i
$121$	0.353594	+	1.08825i	0.0321449	+	0.0989318i
$122$	−4.03857	−	12.4294i	−0.365635	−	1.12531i
$123$	1.38023	+	1.00279i	0.124451	+	0.0904187i
$124$	−3.89393			−0.349686
$125$	1.13124	−	11.1230i	0.101181	−	0.994868i
$126$	2.94462			0.262327
$127$	−2.57756	−	1.87271i	−0.228721	−	0.166176i	0.467522	−	0.883981i	$-0.345147\pi$
$127$	−2.57756	−	1.87271i	−0.228721	−	0.166176i	−0.696244	+	0.717805i	$0.745147\pi$
$128$	−0.309017	−	0.951057i	−0.0273135	−	0.0840623i
$129$	0.571135	+	1.75777i	0.0502857	+	0.154763i
$130$	−1.52203	+	0.811468i	−0.133491	+	0.0711704i
$131$	−2.34540	+	7.21840i	−0.204919	+	0.630675i	0.794798	+	0.606874i	$0.207577\pi$
$131$	−2.34540	+	7.21840i	−0.204919	+	0.630675i	−0.999717	+	0.0238006i	$0.992423\pi$
$132$	−0.820123			−0.0713825
$133$	−2.01429	+	6.19934i	−0.174661	+	0.537551i
$134$	6.42670	−	4.66927i	0.555183	−	0.403364i
$135$	−3.09830	−	0.431894i	−0.266659	−	0.0371715i
$136$	0.392411	+	0.285103i	0.0336490	+	0.0244474i
$137$	9.43305	−	6.85351i	0.805919	−	0.585535i	−0.106725	−	0.994289i	$-0.534037\pi$
$137$	9.43305	−	6.85351i	0.805919	−	0.585535i	0.912645	+	0.408754i	$0.134037\pi$
$138$	1.62525	−	1.18081i	0.138350	−	0.100517i
$139$	−6.27726	−	4.56070i	−0.532431	−	0.386833i	0.288836	−	0.957379i	$-0.406732\pi$
$139$	−6.27726	−	4.56070i	−0.532431	−	0.386833i	−0.821266	+	0.570545i	$0.806732\pi$
$140$	1.61023	+	1.55150i	0.136090	+	0.131126i
$141$	−2.14835	+	1.56087i	−0.180924	+	0.131449i
$142$	0.0996959	−	0.306832i	0.00836630	−	0.0257488i
$143$	2.68811			0.224791
$144$	−0.909936	+	2.80050i	−0.0758280	+	0.233375i
$145$	−9.61564	−	9.26489i	−0.798535	−	0.769407i
$146$	2.32065	+	7.14223i	0.192058	+	0.591095i
$147$	−0.0727237	−	0.223820i	−0.00599815	−	0.0184604i
$148$	−1.06158	−	0.771285i	−0.0872616	−	0.0633992i
$149$	13.1485			1.07717			0.538584	−	0.842572i	$-0.318959\pi$
$149$	13.1485			1.07717			0.538584	+	0.842572i	$0.318959\pi$
$150$	−0.726523	−	0.925619i	−0.0593204	−	0.0755765i
$151$	−13.9998			−1.13929			−0.569645	−	0.821891i	$-0.692919\pi$
$151$	−13.9998			−1.13929			−0.569645	+	0.821891i	$0.692919\pi$
$152$	−5.27348	−	3.83140i	−0.427735	−	0.310768i
$153$	−0.441362	−	1.35837i	−0.0356820	−	0.109818i
$154$	−1.07688	−	3.31430i	−0.0867776	−	0.267074i
$155$	1.52159	+	8.57312i	0.122217	+	0.688610i
$156$	−0.0560967	+	0.172648i	−0.00449133	+	0.0138229i
$157$	3.25293			0.259612			0.129806	−	0.991539i	$-0.458565\pi$
$157$	3.25293			0.259612			0.129806	+	0.991539i	$0.458565\pi$
$158$	−0.331230	+	1.01942i	−0.0263512	+	0.0811007i
$159$	1.64134	−	1.19250i	0.130167	−	0.0945716i
$160$	−1.97315	+	1.05198i	−0.155991	+	0.0831667i
$161$	6.90600	+	5.01750i	0.544269	+	0.395435i
$162$	6.88037	−	4.99888i	0.540573	−	0.392749i
$163$	−7.33643	+	5.33023i	−0.574633	+	0.417496i	−0.836785	−	0.547531i	$-0.815568\pi$
$163$	−7.33643	+	5.33023i	−0.574633	+	0.417496i	0.262152	+	0.965027i	$0.415568\pi$
$164$	−5.86485	−	4.26106i	−0.457968	−	0.332733i
$165$	0.320470	+	1.80563i	0.0249486	+	0.140568i
$166$	−3.89872	+	2.83259i	−0.302600	+	0.219852i
$167$	−3.15691	+	9.71596i	−0.244289	+	0.751844i	0.751464	+	0.659774i	$0.229348\pi$
$167$	−3.15691	+	9.71596i	−0.244289	+	0.751844i	−0.995753	+	0.0920694i	$0.970652\pi$
$168$	0.235339			0.0181568
$169$	−3.83335	+	11.7978i	−0.294873	+	0.907527i
$170$	0.474363	−	0.975363i	0.0363820	−	0.0748069i
$171$	5.93131	+	18.2547i	0.453578	+	1.39597i
$172$	−2.42687	−	7.46912i	−0.185047	−	0.569515i
$173$	11.3415	+	8.24009i	0.862280	+	0.626483i	0.928504	−	0.371322i	$-0.121095\pi$
$173$	11.3415	+	8.24009i	0.862280	+	0.626483i	−0.0662246	+	0.997805i	$0.521095\pi$
$174$	−1.40534			−0.106539
$175$	2.78666	−	4.15145i	0.210652	−	0.313820i
$176$	3.48486			0.262681
$177$	1.99985	+	1.45297i	0.150318	+	0.109212i
$178$	−3.78144	−	11.6381i	−0.283431	−	0.872311i
$179$	1.93279	+	5.94852i	0.144464	+	0.444613i	0.996942	−	0.0781498i	$-0.0249012\pi$
$179$	1.93279	+	5.94852i	0.144464	+	0.444613i	−0.852478	+	0.522763i	$0.824901\pi$
$180$	6.52131	+	0.909051i	0.486069	+	0.0677567i
$181$	0.917907	−	2.82503i	0.0682275	−	0.209983i	−0.911130	−	0.412120i	$-0.864789\pi$
$181$	0.917907	−	2.82503i	0.0682275	−	0.209983i	0.979357	+	0.202137i	$0.0647886\pi$
$182$	−0.771369			−0.0571776
$183$	−0.950432	+	2.92513i	−0.0702580	+	0.216232i
$184$	−6.90600	+	5.01750i	−0.509117	+	0.369895i
$185$	−1.28328	+	2.63863i	−0.0943489	+	0.193996i
$186$	0.741378	+	0.538643i	0.0543605	+	0.0394952i
$187$	−1.36750	+	0.993546i	−0.100001	+	0.0726553i
$188$	9.12876	−	6.63243i	0.665783	−	0.483720i
$189$	−1.13181	−	0.822310i	−0.0823273	−	0.0598143i
$190$	−6.37479	+	13.1076i	−0.462476	+	0.950922i
$191$	17.3312	−	12.5918i	1.25404	−	0.911113i	0.255590	−	0.966785i	$-0.417730\pi$
$191$	17.3312	−	12.5918i	1.25404	−	0.911113i	0.998449	+	0.0556724i	$0.0177302\pi$
$192$	−0.0727237	+	0.223820i	−0.00524838	+	0.0161528i
$193$	21.9963			1.58333			0.791665	−	0.610956i	$-0.209215\pi$
$193$	21.9963			1.58333			0.791665	+	0.610956i	$0.209215\pi$
$194$	0.340108	−	1.04675i	0.0244183	−	0.0751519i
$195$	0.402033	+	0.0560422i	0.0287901	+	0.00401326i
$196$	0.309017	+	0.951057i	0.0220726	+	0.0679326i
$197$	−0.741148	−	2.28102i	−0.0528046	−	0.162516i	0.921177	−	0.389145i	$-0.127229\pi$
$197$	−0.741148	−	2.28102i	−0.0528046	−	0.162516i	−0.973981	+	0.226629i	$0.927229\pi$
$198$	−8.30179	−	6.03160i	−0.589982	−	0.428647i
$199$	0.493350			0.0349727			0.0174863	−	0.999847i	$-0.494434\pi$
$199$	0.493350			0.0349727			0.0174863	+	0.999847i	$0.494434\pi$
$200$	3.08714	+	3.93314i	0.218294	+	0.278115i
$201$	−1.86949			−0.131864
$202$	10.6099	+	7.70855i	0.746511	+	0.542372i
$203$	−1.84532	−	5.67931i	−0.129516	−	0.398609i
$204$	−0.0352744	−	0.108563i	−0.00246970	−	0.00760096i
$205$	−7.08967	+	14.5774i	−0.495164	+	1.01813i
$206$	−2.51189	+	7.73082i	−0.175012	+	0.538632i
$207$	25.1361			1.74708
$208$	0.238366	−	0.733615i	0.0165277	−	0.0508671i
$209$	18.3773	−	13.3519i	1.27119	−	0.923571i
$210$	−0.0919607	−	0.518136i	−0.00634589	−	0.0357548i
$211$	−5.05405	−	3.67198i	−0.347935	−	0.252790i	0.400067	−	0.916486i	$-0.368987\pi$
$211$	−5.05405	−	3.67198i	−0.347935	−	0.252790i	−0.748002	+	0.663696i	$0.768987\pi$
$212$	−6.97437	+	5.06718i	−0.479002	+	0.348015i
$213$	−0.0614251	+	0.0446280i	−0.00420878	+	0.00305786i
$214$	14.8911	+	10.8190i	1.01793	+	0.739572i
$215$	−15.4962	+	8.26176i	−1.05683	+	0.563447i
$216$	1.13181	−	0.822310i	0.0770101	−	0.0559511i
$217$	−1.20329	+	3.70335i	−0.0816848	+	0.251400i
$218$	−13.6729			−0.926048
$219$	0.546139	−	1.68084i	0.0369046	−	0.113581i
$220$	−1.36174	−	7.67248i	−0.0918085	−	0.517278i
$221$	0.115619	+	0.355838i	0.00777736	+	0.0239362i
$222$	0.0954271	+	0.293694i	0.00640465	+	0.0197115i
$223$	−12.2348	−	8.88907i	−0.819300	−	0.595256i	0.0972120	−	0.995264i	$-0.469008\pi$
$223$	−12.2348	−	8.88907i	−0.819300	−	0.595256i	−0.916512	+	0.400007i	$0.869008\pi$
$224$	−1.00000			−0.0668153
$225$	−0.546837	−	14.7129i	−0.0364558	−	0.980861i
$226$	9.02303			0.600203
$227$	7.74229	+	5.62510i	0.513874	+	0.373351i	0.814291	−	0.580457i	$-0.197126\pi$
$227$	7.74229	+	5.62510i	0.513874	+	0.373351i	−0.300417	+	0.953808i	$0.597126\pi$
$228$	0.474040	+	1.45895i	0.0313941	+	0.0966210i
$229$	2.86979	+	8.83232i	0.189641	+	0.583656i	0.999997	−	0.00228175i	$-0.000726305\pi$
$229$	2.86979	+	8.83232i	0.189641	+	0.583656i	−0.810356	+	0.585938i	$0.800726\pi$
$230$	13.7454	+	13.2440i	0.906346	+	0.873285i
$231$	−0.253432	+	0.779983i	−0.0166746	+	0.0513191i
$232$	5.97158			0.392053
$233$	−3.34005	+	10.2796i	−0.218814	+	0.673441i	0.780047	+	0.625721i	$0.215195\pi$
$233$	−3.34005	+	10.2796i	−0.218814	+	0.673441i	−0.998861	+	0.0477193i	$0.984805\pi$
$234$	−1.83759	+	1.33509i	−0.120127	+	0.0872773i
$235$	−18.1695	−	17.5067i	−1.18525	−	1.14201i
$236$	−8.49774	−	6.17397i	−0.553155	−	0.401891i
$237$	0.204079	−	0.148272i	0.0132563	−	0.00963129i
$238$	0.392411	−	0.285103i	0.0254362	−	0.0184805i
$239$	−12.3443	−	8.96869i	−0.798489	−	0.580136i	0.111981	−	0.993710i	$-0.464280\pi$
$239$	−12.3443	−	8.96869i	−0.798489	−	0.580136i	−0.910471	+	0.413574i	$0.864280\pi$
$240$	0.521194	+	0.0726529i	0.0336429	+	0.00468973i
$241$	−4.45908	+	3.23971i	−0.287234	+	0.208688i	−0.722067	−	0.691823i	$-0.756808\pi$
$241$	−4.45908	+	3.23971i	−0.287234	+	0.208688i	0.434832	+	0.900511i	$0.356808\pi$
$242$	−0.353594	+	1.08825i	−0.0227299	+	0.0699554i
$243$	−6.19846			−0.397631
$244$	4.03857	−	12.4294i	0.258543	−	0.795714i
$245$	1.97315	−	1.05198i	0.126060	−	0.0672088i
$246$	0.527199	+	1.62255i	0.0336130	+	0.103450i
$247$	−1.55376	−	4.78198i	−0.0988633	−	0.304270i
$248$	−3.15026	−	2.28880i	−0.200042	−	0.145339i
$249$	1.13412			0.0718718
$250$	7.45311	−	8.33374i	0.471376	−	0.527072i
$251$	29.4811			1.86083			0.930416	−	0.366506i	$-0.119446\pi$
$251$	29.4811			1.86083			0.930416	+	0.366506i	$0.119446\pi$
$252$	2.38224	+	1.73080i	0.150067	+	0.109030i
$253$	−9.19256	−	28.2918i	−0.577932	−	1.77869i
$254$	−0.984540	−	3.03010i	−0.0617755	−	0.190126i
$255$	−0.225236	+	0.120084i	−0.0141048	+	0.00751997i
$256$	0.309017	−	0.951057i	0.0193136	−	0.0594410i
$257$	20.7318			1.29321			0.646607	−	0.762823i	$-0.276187\pi$
$257$	20.7318			1.29321			0.646607	+	0.762823i	$0.276187\pi$
$258$	−0.571135	+	1.75777i	−0.0355573	+	0.109434i
$259$	−1.06158	+	0.771285i	−0.0659635	+	0.0479253i
$260$	−1.70831	−	0.238134i	−0.105945	−	0.0147685i
$261$	−14.2258	−	10.3356i	−0.880552	−	0.639758i
$262$	−6.14034	+	4.46122i	−0.379351	+	0.275615i
$263$	13.5433	−	9.83976i	0.835113	−	0.606745i	−0.0858880	−	0.996305i	$-0.527373\pi$
$263$	13.5433	−	9.83976i	0.835113	−	0.606745i	0.921001	+	0.389559i	$0.127373\pi$
$264$	−0.663493	−	0.482056i	−0.0408352	−	0.0296685i
$265$	13.8815	+	13.3751i	0.852734	+	0.821629i
$266$	−5.27348	+	3.83140i	−0.323338	+	0.234918i
$267$	−0.889919	+	2.73889i	−0.0544622	+	0.167617i
$268$	7.94384			0.485248
$269$	−0.771620	+	2.37480i	−0.0470465	+	0.144794i	−0.971820	−	0.235723i	$-0.924254\pi$
$269$	−0.771620	+	2.37480i	−0.0470465	+	0.144794i	0.924774	+	0.380518i	$0.124254\pi$
$270$	−2.25271	−	2.17054i	−0.137096	−	0.132095i
$271$	4.04834	+	12.4595i	0.245919	+	0.756861i	0.995484	+	0.0949303i	$0.0302628\pi$
$271$	4.04834	+	12.4595i	0.245919	+	0.756861i	−0.749565	+	0.661931i	$0.769737\pi$
$272$	0.149888	+	0.461307i	0.00908828	+	0.0279709i
$273$	0.146863	+	0.106702i	0.00888856	+	0.00645792i
$274$	11.6599			0.704399
$275$	−16.3601	+	5.99618i	−0.986550	+	0.361583i
$276$	2.00892			0.120923
$277$	−13.3220	−	9.67902i	−0.800443	−	0.581556i	0.110601	−	0.993865i	$-0.464722\pi$
$277$	−13.3220	−	9.67902i	−0.800443	−	0.581556i	−0.911044	+	0.412309i	$0.864722\pi$
$278$	−2.39770	−	7.37937i	−0.143805	−	0.442585i
$279$	3.54323	+	10.9049i	0.212128	+	0.652862i
$280$	0.390759	+	2.20166i	0.0233523	+	0.131574i
$281$	7.01947	−	21.6037i	0.418747	−	1.28877i	−0.490110	−	0.871661i	$-0.663043\pi$
$281$	7.01947	−	21.6037i	0.418747	−	1.28877i	0.908856	−	0.417109i	$-0.136957\pi$
$282$	−2.65551			−0.158133
$283$	4.45827	−	13.7211i	0.265016	−	0.815637i	−0.726673	−	0.686983i	$-0.758935\pi$
$283$	4.45827	−	13.7211i	0.265016	−	0.815637i	0.991690	−	0.128653i	$-0.0410655\pi$
$284$	0.261007	−	0.189633i	0.0154879	−	0.0112526i
$285$	3.02687	−	1.61377i	0.179296	−	0.0955915i
$286$	2.17473	+	1.58003i	0.128594	+	0.0934293i
$287$	−5.86485	+	4.26106i	−0.346191	+	0.251522i
$288$	−2.38224	+	1.73080i	−0.140375	+	0.101988i
$289$	13.5630	+	9.85406i	0.797821	+	0.579651i
$290$	−2.33345	−	13.1474i	−0.137025	−	0.772041i
$291$	−0.209549	+	0.152246i	−0.0122840	+	0.00892484i
$292$	−2.32065	+	7.14223i	−0.135806	+	0.417967i
$293$	−27.7142			−1.61908			−0.809541	−	0.587063i	$-0.800284\pi$
$293$	−27.7142			−1.61908			−0.809541	+	0.587063i	$0.800284\pi$
$294$	0.0727237	−	0.223820i	0.00424133	−	0.0130535i
$295$	−10.2724	+	21.1217i	−0.598083	+	1.22975i
$296$	−0.405488	−	1.24797i	−0.0235685	−	0.0725365i
$297$	1.50655	+	4.63670i	0.0874192	+	0.269049i
$298$	10.6374	+	7.72851i	0.616207	+	0.447700i
$299$	−6.58462			−0.380798
$300$	−0.0437042	−	1.17588i	−0.00252326	−	0.0678896i
$301$	−7.85350			−0.452668
$302$	−11.3261	−	8.22889i	−0.651744	−	0.473520i
$303$	−0.953740	−	2.93531i	−0.0547909	−	0.168629i
$304$	−2.01429	−	6.19934i	−0.115527	−	0.355557i
$305$	−28.9435	−	4.03464i	−1.65730	−	0.231023i
$306$	0.441362	−	1.35837i	0.0252310	−	0.0776530i
$307$	−6.11087			−0.348766			−0.174383	−	0.984678i	$-0.555793\pi$
$307$	−6.11087			−0.348766			−0.174383	+	0.984678i	$0.555793\pi$
$308$	1.07688	−	3.31430i	0.0613610	−	0.188850i
$309$	1.54764	−	1.12443i	0.0880422	−	0.0639664i
$310$	−3.80816	+	7.83017i	−0.216289	+	0.444724i
$311$	−17.1278	−	12.4440i	−0.971226	−	0.705637i	−0.0154954	−	0.999880i	$-0.504933\pi$
$311$	−17.1278	−	12.4440i	−0.971226	−	0.705637i	−0.955731	+	0.294243i	$0.904933\pi$
$312$	−0.146863	+	0.106702i	−0.00831449	+	0.00604083i
$313$	5.91106	−	4.29464i	0.334113	−	0.242747i	−0.408061	−	0.912955i	$-0.633795\pi$
$313$	5.91106	−	4.29464i	0.334113	−	0.242747i	0.742174	+	0.670207i	$0.233795\pi$
$314$	2.63168	+	1.91203i	0.148514	+	0.107902i
$315$	2.87975	−	5.92122i	0.162256	−	0.333623i
$316$	−0.867170	+	0.630036i	−0.0487821	+	0.0354423i
$317$	−3.32388	+	10.2298i	−0.186687	+	0.574565i	−0.999973	−	0.00729942i	$-0.997677\pi$
$317$	−3.32388	+	10.2298i	−0.186687	+	0.574565i	0.813286	+	0.581864i	$0.197677\pi$
$318$	2.02881			0.113770
$319$	−6.43068	+	19.7916i	−0.360049	+	1.10812i
$320$	−2.21465	−	0.308716i	−0.123803	−	0.0172578i
$321$	−1.33858	−	4.11973i	−0.0747123	−	0.229941i
$322$	2.63786	+	8.11849i	0.147002	+	0.452426i
$323$	2.55788	+	1.85841i	0.142324	+	0.103405i
$324$	8.50461			0.472478
$325$	0.143249	+	3.85418i	0.00794602	+	0.213792i
$326$	−9.06832			−0.502248
$327$	2.60323	+	1.89136i	0.143959	+	0.104592i
$328$	−2.24017	−	6.89454i	−0.123693	−	0.380687i
$329$	−3.48688	−	10.7315i	−0.192238	−	0.591647i
$330$	−0.802057	+	1.64915i	−0.0441518	+	0.0907829i
$331$	6.81870	−	20.9858i	0.374790	−	1.15348i	−0.568831	−	0.822455i	$-0.692604\pi$
$331$	6.81870	−	20.9858i	0.374790	−	1.15348i	0.943620	−	0.331029i	$-0.107396\pi$
$332$	−4.81909			−0.264482
$333$	−1.19401	+	3.67478i	−0.0654312	+	0.201377i
$334$	−8.26489	+	6.00480i	−0.452235	+	0.328568i
$335$	−3.10413	−	17.4896i	−0.169597	−	0.955561i
$336$	0.190393	+	0.138329i	0.0103868	+	0.00754644i
$337$	−24.7357	+	17.9716i	−1.34744	+	0.978973i	−0.348306	+	0.937381i	$0.613243\pi$
$337$	−24.7357	+	17.9716i	−1.34744	+	0.978973i	−0.999135	+	0.0415919i	$0.986757\pi$
$338$	−10.0358	+	7.29147i	−0.545878	+	0.396604i
$339$	−1.71792	−	1.24814i	−0.0933047	−	0.0677898i
$340$	0.957071	−	0.510262i	0.0519045	−	0.0276728i
$341$	10.9782	−	7.97614i	0.594504	−	0.431932i
$342$	−5.93131	+	18.2547i	−0.320728	+	0.987100i
$343$	1.00000			0.0539949
$344$	2.42687	−	7.46912i	0.130848	−	0.402708i
$345$	−0.785003	−	4.42295i	−0.0422631	−	0.238124i
$346$	4.33207	+	13.3328i	0.232894	+	0.716773i
$347$	−4.63033	−	14.2507i	−0.248569	−	0.765017i	−0.995029	−	0.0995862i	$-0.968248\pi$
$347$	−4.63033	−	14.2507i	−0.248569	−	0.765017i	0.746460	−	0.665430i	$-0.231752\pi$
$348$	−1.13695	−	0.826040i	−0.0609467	−	0.0442804i
$349$	−1.78680			−0.0956453			−0.0478227	−	0.998856i	$-0.515228\pi$
$349$	−1.78680			−0.0956453			−0.0478227	+	0.998856i	$0.515228\pi$
$350$	4.69461	−	1.72064i	0.250938	−	0.0919719i
$351$	1.07914			0.0576004
$352$	2.81931	+	2.04835i	0.150270	+	0.109177i
$353$	7.29026	+	22.4371i	0.388021	+	1.19421i	0.934265	+	0.356580i	$0.116057\pi$
$353$	7.29026	+	22.4371i	0.388021	+	1.19421i	−0.546244	+	0.837626i	$0.683943\pi$
$354$	0.763873	+	2.35096i	0.0405994	+	0.124952i
$355$	−0.519498	−	0.500549i	−0.0275721	−	0.0265664i
$356$	3.78144	−	11.6381i	0.200416	−	0.616817i
$357$	−0.114150			−0.00604148
$358$	−1.93279	+	5.94852i	−0.102151	+	0.314389i
$359$	−5.85539	+	4.25419i	−0.309036	+	0.224528i	−0.731483	−	0.681860i	$-0.761171\pi$
$359$	−5.85539	+	4.25419i	−0.309036	+	0.224528i	0.422447	+	0.906388i	$0.361171\pi$
$360$	4.74152	+	4.56857i	0.249900	+	0.240785i
$361$	−19.0032	−	13.8066i	−1.00017	−	0.726663i
$362$	2.40311	−	1.74596i	0.126305	−	0.0917657i
$363$	0.217858	−	0.158283i	0.0114346	−	0.00830771i
$364$	−0.624050	−	0.453399i	−0.0327091	−	0.0237646i
$365$	16.6316	+	2.31839i	0.870536	+	0.121350i
$366$	−2.48826	+	1.80783i	−0.130064	+	0.0944967i
$367$	−2.66815	+	8.21172i	−0.139276	+	0.428648i	−0.996231	−	0.0867439i	$-0.972354\pi$
$367$	−2.66815	+	8.21172i	−0.139276	+	0.428648i	0.856954	+	0.515392i	$0.172354\pi$
$368$	−8.53628			−0.444985
$369$	−6.59645	+	20.3018i	−0.343397	+	1.05687i
$370$	−2.58915	+	1.38040i	−0.134603	+	0.0717637i
$371$	2.66397	+	8.19887i	0.138307	+	0.425664i
$372$	0.283181	+	0.871542i	0.0146823	+	0.0451873i
$373$	−21.6341	−	15.7181i	−1.12017	−	0.813854i	−0.135938	−	0.990717i	$-0.543405\pi$
$373$	−21.6341	−	15.7181i	−1.12017	−	0.813854i	−0.984235	+	0.176864i	$0.943405\pi$
$374$	−1.69032			−0.0874044
$375$	−2.57181	+	0.555708i	−0.132808	+	0.0286966i
$376$	11.2838			0.581916
$377$	3.72656	+	2.70751i	0.191928	+	0.139444i
$378$	−0.432314	−	1.33053i	−0.0222358	−	0.0684349i
$379$	−1.22610	−	3.77354i	−0.0629804	−	0.193834i	0.914615	−	0.404325i	$-0.132494\pi$
$379$	−1.22610	−	3.77354i	−0.0629804	−	0.193834i	−0.977596	+	0.210491i	$0.932494\pi$
$380$	−12.8617	+	6.85723i	−0.659793	+	0.351768i
$381$	−0.231700	+	0.713100i	−0.0118704	+	0.0365332i
$382$	21.4225			1.09607
$383$	−0.686735	+	2.11355i	−0.0350905	+	0.107998i	−0.967068	−	0.254520i	$-0.918083\pi$
$383$	−0.686735	+	2.11355i	−0.0350905	+	0.107998i	0.931977	+	0.362517i	$0.118083\pi$
$384$	−0.190393	+	0.138329i	−0.00971595	+	0.00705905i
$385$	−7.71776	−	1.07583i	−0.393334	−	0.0548296i
$386$	17.7954	+	12.9291i	0.905762	+	0.658074i
$387$	−18.7090	+	13.5929i	−0.951030	+	0.690964i
$388$	0.890415	−	0.646924i	0.0452040	−	0.0328426i
$389$	0.744340	+	0.540795i	0.0377395	+	0.0274194i	0.606495	−	0.795087i	$-0.292575\pi$
$389$	0.744340	+	0.540795i	0.0377395	+	0.0274194i	−0.568756	+	0.822507i	$0.692575\pi$
$390$	0.292310	+	0.281648i	0.0148017	+	0.0142618i
$391$	3.34973	−	2.43372i	0.169403	−	0.123079i
$392$	−0.309017	+	0.951057i	−0.0156077	+	0.0480356i
$393$	1.78619			0.0901014
$394$	0.741148	−	2.28102i	0.0373385	−	0.114916i
$395$	1.72598	+	1.66302i	0.0868435	+	0.0836757i
$396$	−3.17100	−	9.75934i	−0.159349	−	0.490425i
$397$	−8.42926	−	25.9426i	−0.423052	−	1.30202i	−0.904847	−	0.425737i	$-0.860015\pi$
$397$	−8.42926	−	25.9426i	−0.423052	−	1.30202i	0.481794	−	0.876284i	$-0.339985\pi$
$398$	0.399129	+	0.289984i	0.0200065	+	0.0145356i
$399$	1.53403			0.0767973
$400$	0.185708	+	4.99655i	0.00928538	+	0.249828i
$401$	−9.12314			−0.455588			−0.227794	−	0.973709i	$-0.573151\pi$
$401$	−9.12314			−0.455588			−0.227794	+	0.973709i	$0.573151\pi$
$402$	−1.51245	−	1.09886i	−0.0754343	−	0.0548062i
$403$	−0.928181	−	2.85665i	−0.0462360	−	0.142300i
$404$	4.05263	+	12.4727i	0.201626	+	0.620540i
$405$	−3.32325	−	18.7243i	−0.165134	−	0.930416i
$406$	1.84532	−	5.67931i	0.0915816	−	0.281859i
$407$	4.57279			0.226665
$408$	0.0352744	−	0.108563i	0.00174634	−	0.00537469i
$409$	27.9461	−	20.3040i	1.38185	−	1.00397i	0.385142	−	0.922857i	$-0.374153\pi$
$409$	27.9461	−	20.3040i	1.38185	−	1.00397i	0.996705	−	0.0811129i	$-0.0258474\pi$
$410$	−14.3041	+	7.62620i	−0.706428	+	0.376631i
$411$	−2.21996	−	1.61290i	−0.109503	−	0.0795583i
$412$	−6.57623	+	4.77791i	−0.323987	+	0.235391i
$413$	−8.49774	+	6.17397i	−0.418146	+	0.303801i
$414$	20.3355	+	14.7746i	0.999436	+	0.726133i
$415$	1.88310	+	10.6100i	0.0924379	+	0.520824i
$416$	0.624050	−	0.453399i	0.0305966	−	0.0222297i
$417$	−0.564272	+	1.73665i	−0.0276325	+	0.0850441i
$418$	22.7156			1.11106
$419$	7.60701	−	23.4120i	0.371627	−	1.14375i	−0.574099	−	0.818786i	$-0.694648\pi$
$419$	7.60701	−	23.4120i	0.371627	−	1.14375i	0.945726	−	0.324964i	$-0.105352\pi$
$420$	0.230155	−	0.473234i	0.0112304	−	0.0230914i
$421$	0.558083	+	1.71760i	0.0271993	+	0.0837108i	0.963735	−	0.266862i	$-0.0859869\pi$
$421$	0.558083	+	1.71760i	0.0271993	+	0.0837108i	−0.936535	+	0.350573i	$0.885987\pi$
$422$	−1.93047	−	5.94139i	−0.0939740	−	0.289222i
$423$	−26.8807	−	19.5300i	−1.30698	−	0.949579i
$424$	−8.62080			−0.418663
$425$	−1.49741	−	1.90776i	−0.0726349	−	0.0925398i
$426$	−0.0759256			−0.00367861
$427$	−10.5731	−	7.68182i	−0.511669	−	0.371749i
$428$	5.68789	+	17.5055i	0.274934	+	0.846161i
$429$	−0.195489	−	0.601654i	−0.00943831	−	0.0290481i
$430$	−17.3928	−	2.42451i	−0.838755	−	0.116920i
$431$	9.19050	−	28.2854i	0.442691	−	1.36246i	−0.442306	−	0.896864i	$-0.645839\pi$
$431$	9.19050	−	28.2854i	0.442691	−	1.36246i	0.884996	−	0.465598i	$-0.154161\pi$
$432$	1.39900			0.0673093
$433$	0.0997250	−	0.306922i	0.00479248	−	0.0147497i	−0.948632	−	0.316383i	$-0.897532\pi$
$433$	0.0997250	−	0.306922i	0.00479248	−	0.0147497i	0.953424	+	0.301633i	$0.0975317\pi$
$434$	−3.15026	+	2.28880i	−0.151217	+	0.109866i
$435$	−1.37439	+	2.82595i	−0.0658968	+	0.135494i
$436$	−11.0616	−	8.03675i	−0.529756	−	0.384890i
$437$	−45.0159	+	32.7060i	−2.15340	+	1.56454i
$438$	1.42981	−	1.03882i	0.0683189	−	0.0496366i
$439$	21.5492	+	15.6564i	1.02849	+	0.747241i	0.968006	−	0.250928i	$-0.0807357\pi$
$439$	21.5492	+	15.6564i	1.02849	+	0.747241i	0.0604835	+	0.998169i	$0.480736\pi$
$440$	3.40810	−	7.00758i	0.162475	−	0.334073i
$441$	2.38224	−	1.73080i	0.113440	−	0.0824191i
$442$	−0.115619	+	0.355838i	−0.00549942	+	0.0169255i
$443$	−12.0387			−0.571976			−0.285988	−	0.958233i	$-0.592322\pi$
$443$	−12.0387			−0.571976			−0.285988	+	0.958233i	$0.592322\pi$
$444$	−0.0954271	+	0.293694i	−0.00452877	+	0.0139381i
$445$	−27.1007	−	3.77776i	−1.28470	−	0.179083i
$446$	−4.67326	−	14.3828i	−0.221285	−	0.681046i
$447$	−0.956209	−	2.94291i	−0.0452271	−	0.139195i
$448$	−0.809017	−	0.587785i	−0.0382225	−	0.0277702i
$449$	33.9828			1.60375			0.801873	−	0.597494i	$-0.203837\pi$
$449$	33.9828			1.60375			0.801873	+	0.597494i	$0.203837\pi$
$450$	8.20564	−	12.2244i	0.386817	−	0.576265i
$451$	25.2630			1.18959
$452$	7.29979	+	5.30360i	0.343353	+	0.249461i
$453$	1.01812	+	3.13345i	0.0478354	+	0.147222i
$454$	2.95729	+	9.10160i	0.138793	+	0.427159i
$455$	−0.754377	+	1.55112i	−0.0353658	+	0.0727175i
$456$	−0.474040	+	1.45895i	−0.0221990	+	0.0683214i
$457$	25.2138			1.17945			0.589726	−	0.807604i	$-0.299236\pi$
$457$	25.2138			1.17945			0.589726	+	0.807604i	$0.299236\pi$
$458$	−2.86979	+	8.83232i	−0.134097	+	0.412707i
$459$	−0.548983	+	0.398859i	−0.0256243	+	0.0186172i
$460$	3.33563	+	18.7940i	0.155525	+	0.876275i
$461$	3.36558	+	2.44524i	0.156751	+	0.113886i	0.663396	−	0.748269i	$-0.269115\pi$
$461$	3.36558	+	2.44524i	0.156751	+	0.113886i	−0.506645	+	0.862155i	$0.669115\pi$
$462$	−0.663493	+	0.482056i	−0.0308685	+	0.0224273i
$463$	−8.78033	+	6.37929i	−0.408057	+	0.296471i	−0.772815	−	0.634632i	$-0.781152\pi$
$463$	−8.78033	+	6.37929i	−0.408057	+	0.296471i	0.364758	+	0.931102i	$0.381152\pi$
$464$	4.83111	+	3.51000i	0.224279	+	0.162948i
$465$	1.80818	−	0.964031i	0.0838525	−	0.0447059i
$466$	−8.74437	+	6.35316i	−0.405075	+	0.294304i
$467$	4.44159	−	13.6698i	0.205532	−	0.632563i	−0.794159	−	0.607710i	$-0.792088\pi$
$467$	4.44159	−	13.6698i	0.205532	−	0.632563i	0.999691	−	0.0248529i	$-0.00791175\pi$
$468$	−2.27138			−0.104995
$469$	2.45478	−	7.55504i	0.113351	−	0.348860i
$470$	−4.40923	−	24.8430i	−0.203383	−	1.14592i
$471$	−0.236565	−	0.728073i	−0.0109003	−	0.0335478i
$472$	−3.24585	−	9.98969i	−0.149402	−	0.459813i
$473$	22.1415	+	16.0867i	1.01807	+	0.739668i
$474$	0.252255			0.0115865
$475$	20.1231	+	25.6377i	0.923312	+	1.17634i
$476$	0.485047			0.0222321
$477$	20.5368	+	14.9209i	0.940317	+	0.683181i
$478$	−4.71512	−	14.5116i	−0.215665	−	0.663747i
$479$	−8.00683	−	24.6425i	−0.365841	−	1.12594i	−0.949453	−	0.313911i	$-0.898361\pi$
$479$	−8.00683	−	24.6425i	−0.365841	−	1.12594i	0.583611	−	0.812033i	$-0.301639\pi$
$480$	0.378950	+	0.365128i	0.0172966	+	0.0166657i
$481$	0.312781	−	0.962641i	0.0142616	−	0.0438927i
$482$	−5.51172			−0.251052
$483$	0.620790	−	1.91059i	0.0282469	−	0.0869351i
$484$	−0.925721	+	0.672576i	−0.0420782	+	0.0305716i
$485$	−1.77224	−	1.70760i	−0.0804735	−	0.0775381i
$486$	−5.01466	−	3.64336i	−0.227469	−	0.165266i
$487$	14.9597	−	10.8688i	0.677887	−	0.492514i	−0.194769	−	0.980849i	$-0.562396\pi$
$487$	14.9597	−	10.8688i	0.677887	−	0.492514i	0.872656	+	0.488335i	$0.162396\pi$
$488$	10.5731	−	7.68182i	0.478622	−	0.347740i
$489$	1.72655	+	1.25441i	0.0780771	+	0.0567263i
$490$	2.21465	+	0.308716i	0.100048	+	0.0139464i
$491$	5.81886	−	4.22765i	0.262601	−	0.190791i	−0.448692	−	0.893687i	$-0.648110\pi$
$491$	5.81886	−	4.22765i	0.262601	−	0.190791i	0.711293	+	0.702895i	$0.248110\pi$
$492$	−0.527199	+	1.62255i	−0.0237680	+	0.0731503i
$493$	−2.89650			−0.130452
$494$	1.55376	−	4.78198i	0.0699069	−	0.215151i
$495$	−20.2476	+	10.7950i	−0.910064	+	0.485200i
$496$	−1.20329	−	3.70335i	−0.0540294	−	0.166285i
$497$	−0.0996959	−	0.306832i	−0.00447197	−	0.0137633i
$498$	0.917521	+	0.666618i	0.0411151	+	0.0298719i
$499$	20.1574			0.902369			0.451185	−	0.892431i	$-0.351002\pi$
$499$	20.1574			0.902369			0.451185	+	0.892431i	$0.351002\pi$
$500$	10.9281	−	2.36131i	0.488721	−	0.105601i
$501$	2.40421			0.107412
$502$	23.8507	+	17.3286i	1.06451	+	0.773412i
$503$	−5.77298	−	17.7674i	−0.257404	−	0.792209i	−0.993346	−	0.115165i	$-0.963260\pi$
$503$	−5.77298	−	17.7674i	−0.257404	−	0.792209i	0.735942	−	0.677045i	$-0.236740\pi$
$504$	0.909936	+	2.80050i	0.0405318	+	0.124744i
$505$	25.8771	−	13.7963i	1.15151	−	0.613929i
$506$	9.19256	−	28.2918i	0.408659	−	1.25772i
$507$	2.91937			0.129654
$508$	0.984540	−	3.03010i	0.0436819	−	0.134439i
$509$	32.8443	−	23.8628i	1.45580	−	1.05770i	0.471367	−	0.881937i	$-0.343761\pi$
$509$	32.8443	−	23.8628i	1.45580	−	1.05770i	0.984432	−	0.175764i	$-0.0562394\pi$
$510$	−0.252804	−	0.0352401i	−0.0111943	−	0.00156046i
$511$	6.07554	+	4.41414i	0.268766	+	0.195270i
$512$	0.809017	−	0.587785i	0.0357538	−	0.0259767i
$513$	7.37758	−	5.36013i	0.325728	−	0.236655i
$514$	16.7724	+	12.1858i	0.739798	+	0.537495i
$515$	13.0890	+	12.6116i	0.576772	+	0.555734i
$516$	−1.49525	+	1.08636i	−0.0658248	+	0.0478245i
$517$	−12.1513	+	37.3978i	−0.534412	+	1.64475i
$518$	−1.31219			−0.0576542
$519$	1.01950	−	3.13771i	0.0447513	−	0.137730i
$520$	−1.24208	−	1.19678i	−0.0544690	−	0.0524821i
$521$	6.88288	+	21.1833i	0.301545	+	0.928059i	0.980944	+	0.194290i	$0.0622404\pi$
$521$	6.88288	+	21.1833i	0.301545	+	0.928059i	−0.679399	+	0.733769i	$0.737760\pi$
$522$	−5.43375	−	16.7234i	−0.237829	−	0.731962i
$523$	18.1082	+	13.1564i	0.791816	+	0.575288i	0.908502	−	0.417881i	$-0.137227\pi$
$523$	18.1082	+	13.1564i	0.791816	+	0.575288i	−0.116686	+	0.993169i	$0.537227\pi$
$524$	−7.58987			−0.331565
$525$	−1.13184	−	0.321802i	−0.0493973	−	0.0140446i
$526$	16.7404			0.729916
$527$	1.52802	+	1.11017i	0.0665618	+	0.0483599i
$528$	−0.253432	−	0.779983i	−0.0110292	−	0.0339444i
$529$	15.4101	+	47.4274i	0.670005	+	2.06206i
$530$	3.36865	+	18.9801i	0.146325	+	0.824441i
$531$	−9.55777	+	29.4158i	−0.414772	+	1.27654i
$532$	−6.51837			−0.282607
$533$	1.72800	−	5.31823i	0.0748479	−	0.230358i
$534$	−2.32984	+	1.69273i	−0.100822	+	0.0732515i
$535$	36.3186	−	19.3632i	1.57019	−	0.837146i
$536$	6.42670	+	4.66927i	0.277591	+	0.201682i
$537$	1.19084	−	0.865196i	0.0513886	−	0.0373360i
$538$	−2.02013	+	1.46771i	−0.0870939	+	0.0632774i
$539$	−2.81931	−	2.04835i	−0.121436	−	0.0882287i
$540$	−0.546671	−	3.08012i	−0.0235250	−	0.132547i
$541$	−26.3123	+	19.1170i	−1.13125	+	0.821904i	−0.985877	−	0.167473i	$-0.946439\pi$
$541$	−26.3123	+	19.1170i	−1.13125	+	0.821904i	−0.145377	+	0.989376i	$0.546439\pi$
$542$	−4.04834	+	12.4595i	−0.173891	+	0.535182i
$543$	−0.699052			−0.0299992
$544$	−0.149888	+	0.461307i	−0.00642638	+	0.0197784i
$545$	−13.3717	+	27.4944i	−0.572783	+	1.17773i
$546$	0.0560967	+	0.172648i	0.00240072	+	0.00738865i
$547$	12.6968	+	39.0768i	0.542876	+	1.67080i	0.725986	+	0.687709i	$0.241384\pi$
$547$	12.6968	+	39.0768i	0.542876	+	1.67080i	−0.183110	+	0.983092i	$0.558616\pi$
$548$	9.43305	+	6.85351i	0.402960	+	0.292767i
$549$	−38.4834			−1.64243
$550$	−16.7600	−	4.76520i	−0.714651	−	0.203189i
$551$	38.9250			1.65826
$552$	1.62525	+	1.18081i	0.0691752	+	0.0502587i
$553$	0.331230	+	1.01942i	0.0140853	+	0.0433501i
$554$	−5.08856	−	15.6610i	−0.216192	−	0.665371i
$555$	0.683904	+	0.0953343i	0.0290301	+	0.00404672i
$556$	2.39770	−	7.37937i	0.101685	−	0.312955i
$557$	−35.3007			−1.49574			−0.747870	−	0.663845i	$-0.768923\pi$
$557$	−35.3007			−1.49574			−0.747870	+	0.663845i	$0.768923\pi$
$558$	−3.54323	+	10.9049i	−0.149997	+	0.461643i
$559$	4.90098	−	3.56077i	0.207289	−	0.150605i
$560$	−0.977973	+	2.01086i	−0.0413269	+	0.0849745i
$561$	0.321825	+	0.233820i	0.0135875	+	0.00987188i
$562$	18.3772	−	13.3518i	0.775196	−	0.563213i
$563$	0.0515701	−	0.0374679i	0.00217342	−	0.00157908i	−0.586698	−	0.809806i	$-0.699572\pi$
$563$	0.0515701	−	0.0374679i	0.00217342	−	0.00157908i	0.588871	+	0.808227i	$0.299572\pi$
$564$	−2.14835	−	1.56087i	−0.0904618	−	0.0657244i
$565$	8.82428	−	18.1441i	0.371240	−	0.763327i
$566$	11.6719	−	8.48013i	0.490606	−	0.356446i
$567$	2.62807	−	8.08836i	0.110369	−	0.339679i
$568$	0.322623			0.0135370
$569$	−9.88280	+	30.4161i	−0.414309	+	1.27511i	0.498559	+	0.866856i	$0.333863\pi$
$569$	−9.88280	+	30.4161i	−0.414309	+	1.27511i	−0.912868	+	0.408255i	$0.866137\pi$
$570$	3.39734	+	0.473579i	0.142299	+	0.0198360i
$571$	−13.1665	−	40.5224i	−0.551002	−	1.69581i	−0.706274	−	0.707939i	$-0.749625\pi$
$571$	−13.1665	−	40.5224i	−0.551002	−	1.69581i	0.155272	−	0.987872i	$-0.450375\pi$
$572$	0.830672	+	2.55655i	0.0347322	+	0.106895i
$573$	−4.07869	−	2.96334i	−0.170390	−	0.123796i
$574$	−7.24935			−0.302582
$575$	40.0746	−	14.6878i	1.67122	−	0.612526i
$576$	−2.94462			−0.122692
$577$	1.86947	+	1.35825i	0.0778270	+	0.0565446i	0.626018	−	0.779808i	$-0.284683\pi$
$577$	1.86947	+	1.35825i	0.0778270	+	0.0565446i	−0.548191	+	0.836353i	$0.684683\pi$
$578$	5.18059	+	15.9442i	0.215484	+	0.663192i
$579$	−1.59965	−	4.92322i	−0.0664793	−	0.204602i
$580$	5.84004	−	12.0080i	0.242494	−	0.498606i
$581$	−1.48918	+	4.58323i	−0.0617816	+	0.190144i
$582$	−0.259017			−0.0107366
$583$	9.28357	−	28.5719i	0.384486	−	1.18333i
$584$	−6.07554	+	4.41414i	−0.251408	+	0.182658i
$585$	0.887564	+	5.00082i	0.0366962	+	0.206758i
$586$	−22.4213	−	16.2900i	−0.926215	−	0.672934i
$587$	10.1285	−	7.35882i	0.418050	−	0.303731i	−0.358803	−	0.933413i	$-0.616815\pi$
$587$	10.1285	−	7.35882i	0.418050	−	0.303731i	0.776853	+	0.629682i	$0.216815\pi$
$588$	0.190393	−	0.138329i	0.00785167	−	0.00570458i
$589$	−20.5346	−	14.9192i	−0.846112	−	0.614736i
$590$	−20.7256	+	11.0498i	−0.853257	+	0.454913i
$591$	−0.456639	+	0.331768i	−0.0187836	+	0.0136471i
$592$	0.405488	−	1.24797i	0.0166655	−	0.0512911i
$593$	34.7754			1.42805			0.714027	−	0.700118i	$-0.246870\pi$
$593$	34.7754			1.42805			0.714027	+	0.700118i	$0.246870\pi$
$594$	−1.50655	+	4.63670i	−0.0618147	+	0.190246i
$595$	−0.189536	−	1.06791i	−0.00777024	−	0.0437800i
$596$	4.06312	+	12.5050i	0.166432	+	0.512224i
$597$	−0.0358782	−	0.110422i	−0.00146840	−	0.00451927i
$598$	−5.32707	−	3.87034i	−0.217840	−	0.158270i
$599$	−14.4475			−0.590308			−0.295154	−	0.955450i	$-0.595371\pi$
$599$	−14.4475			−0.590308			−0.295154	+	0.955450i	$0.595371\pi$
$600$	0.655808	−	0.976997i	0.0267733	−	0.0398857i
$601$	−13.7849			−0.562298			−0.281149	−	0.959664i	$-0.590716\pi$
$601$	−13.7849			−0.562298			−0.281149	+	0.959664i	$0.590716\pi$
$602$	−6.35362	−	4.61617i	−0.258954	−	0.188141i
$603$	−7.22839	−	22.2467i	−0.294363	−	0.905956i
$604$	−4.32619	−	13.3146i	−0.176030	−	0.541765i
$605$	1.84252	+	1.77531i	0.0749090	+	0.0721765i
$606$	0.953740	−	2.93531i	0.0387430	−	0.119239i
$607$	24.7641			1.00514			0.502572	−	0.864535i	$-0.332387\pi$
$607$	24.7641			1.00514			0.502572	+	0.864535i	$0.332387\pi$
$608$	2.01429	−	6.19934i	0.0816902	−	0.251417i
$609$	−1.13695	+	0.826040i	−0.0460714	+	0.0334728i
$610$	−21.0443	−	20.2767i	−0.852059	−	0.820978i
$611$	7.04164	+	5.11605i	0.284874	+	0.206973i
$612$	1.15550	−	0.839520i	0.0467083	−	0.0339356i
$613$	−13.0410	+	9.47485i	−0.526721	+	0.382686i	−0.819130	−	0.573608i	$-0.805543\pi$
$613$	−13.0410	+	9.47485i	−0.526721	+	0.382686i	0.292409	+	0.956293i	$0.405543\pi$
$614$	−4.94379	−	3.59188i	−0.199515	−	0.144956i
$615$	3.77832	+	0.526686i	0.152356	+	0.0212380i
$616$	2.81931	−	2.04835i	0.113593	−	0.0825304i
$617$	−13.5170	+	41.6010i	−0.544173	+	1.67479i	0.178775	+	0.983890i	$0.442787\pi$
$617$	−13.5170	+	41.6010i	−0.544173	+	1.67479i	−0.722948	+	0.690903i	$0.757213\pi$
$618$	1.91299			0.0769517
$619$	−0.756922	+	2.32957i	−0.0304233	+	0.0936332i	−0.965115	−	0.261826i	$-0.915675\pi$
$619$	−0.756922	+	2.32957i	−0.0304233	+	0.0936332i	0.934692	+	0.355459i	$0.115675\pi$
$620$	−7.68332	+	4.09636i	−0.308570	+	0.164514i
$621$	−3.69036	−	11.3578i	−0.148089	−	0.455771i
$622$	−6.54222	−	20.1349i	−0.262319	−	0.807335i
$623$	−9.89994	−	7.19273i	−0.396633	−	0.288171i
$624$	−0.181533			−0.00726713
$625$	−9.46908	−	23.1373i	−0.378763	−	0.925494i
$626$	7.30648			0.292026
$627$	−4.32490	−	3.14222i	−0.172720	−	0.125488i
$628$	1.00521	+	3.09372i	0.0401123	+	0.123453i
$629$	0.196681	+	0.605322i	0.00784218	+	0.0241358i
$630$	5.81017	−	3.09769i	0.231483	−	0.123415i
$631$	−4.99072	+	15.3598i	−0.198677	+	0.611466i	0.801237	+	0.598348i	$0.204176\pi$
$631$	−4.99072	+	15.3598i	−0.198677	+	0.611466i	−0.999914	+	0.0131183i	$0.995824\pi$
$632$	−1.07188			−0.0426372
$633$	−0.454315	+	1.39824i	−0.0180574	+	0.0555750i
$634$	−8.70202	+	6.32239i	−0.345601	+	0.251094i
$635$	−7.05598	−	0.983583i	−0.280008	−	0.0390323i
$636$	1.64134	+	1.19250i	0.0650833	+	0.0472858i
$637$	−0.624050	+	0.453399i	−0.0247258	+	0.0179643i
$638$	−16.8357	+	12.2319i	−0.666533	+	0.484265i
$639$	−0.768566	−	0.558396i	−0.0304040	−	0.0220898i
$640$	−1.61023	−	1.55150i	−0.0636501	−	0.0613283i
$641$	−23.7578	+	17.2610i	−0.938375	+	0.681769i	−0.948029	−	0.318184i	$-0.896927\pi$
$641$	−23.7578	+	17.2610i	−0.938375	+	0.681769i	0.00965388	+	0.999953i	$0.496927\pi$
$642$	1.33858	−	4.11973i	0.0528295	−	0.162593i
$643$	−1.12149			−0.0442273			−0.0221136	−	0.999755i	$-0.507040\pi$
$643$	−1.12149			−0.0442273			−0.0221136	+	0.999755i	$0.507040\pi$
$644$	−2.63786	+	8.11849i	−0.103946	+	0.319913i
$645$	2.97609	+	2.86753i	0.117183	+	0.112909i
$646$	0.977025	+	3.00697i	0.0384405	+	0.118308i
$647$	−10.3490	−	31.8510i	−0.406862	−	1.25219i	−0.919330	−	0.393487i	$-0.871269\pi$
$647$	−10.3490	−	31.8510i	−0.406862	−	1.25219i	0.512468	−	0.858706i	$-0.328731\pi$
$648$	6.88037	+	4.99888i	0.270287	+	0.196375i
$649$	36.6042			1.43684
$650$	−2.14954	+	3.20230i	−0.0843119	+	0.125604i
$651$	0.916393			0.0359163
$652$	−7.33643	−	5.33023i	−0.287317	−	0.208748i
$653$	11.5699	+	35.6086i	0.452767	+	1.39347i	0.873737	+	0.486398i	$0.161690\pi$
$653$	11.5699	+	35.6086i	0.452767	+	1.39347i	−0.420970	+	0.907074i	$0.638310\pi$
$654$	0.994345	+	3.06028i	0.0388820	+	0.119666i
$655$	2.96581	+	16.7103i	0.115884	+	0.652926i
$656$	2.24017	−	6.89454i	0.0874640	−	0.269187i
$657$	22.1134			0.862727
$658$	3.48688	−	10.7315i	0.135933	−	0.418357i
$659$	−0.596695	+	0.433524i	−0.0232439	+	0.0168877i	−0.599347	−	0.800490i	$-0.704573\pi$
$659$	−0.596695	+	0.433524i	−0.0232439	+	0.0168877i	0.576103	+	0.817377i	$0.304573\pi$
$660$	−1.61823	+	0.862756i	−0.0629894	+	0.0335827i
$661$	−4.33304	−	3.14814i	−0.168536	−	0.122448i	0.500320	−	0.865840i	$-0.333216\pi$
$661$	−4.33304	−	3.14814i	−0.168536	−	0.122448i	−0.668856	+	0.743392i	$0.733216\pi$
$662$	17.8516	−	12.9699i	0.693822	−	0.504091i
$663$	0.0712355	−	0.0517556i	0.00276656	−	0.00201002i
$664$	−3.89872	−	2.83259i	−0.151300	−	0.109926i
$665$	2.54711	+	14.3512i	0.0987728	+	0.556517i
$666$	−3.12595	+	2.27114i	−0.121128	+	0.0880048i
$667$	15.7522	−	48.4802i	0.609926	−	1.87716i
$668$	−10.2160			−0.395268
$669$	−1.09980	+	3.38483i	−0.0425207	+	0.130865i
$670$	7.76886	−	15.9740i	0.300137	−	0.617129i
$671$	14.0739	+	43.3149i	0.543315	+	1.67215i
$672$	0.0727237	+	0.223820i	0.00280538	+	0.00863406i
$673$	9.38039	+	6.81525i	0.361587	+	0.262709i	0.753714	−	0.657203i	$-0.228260\pi$
$673$	9.38039	+	6.81525i	0.361587	+	0.262709i	−0.392127	+	0.919911i	$0.628260\pi$
$674$	−30.5750			−1.17771
$675$	−6.56776	+	2.40717i	−0.252793	+	0.0926519i
$676$	−12.4050			−0.477115
$677$	−21.9441	−	15.9433i	−0.843381	−	0.612752i	0.0799322	−	0.996800i	$-0.474530\pi$
$677$	−21.9441	−	15.9433i	−0.843381	−	0.612752i	−0.923313	+	0.384048i	$0.874530\pi$
$678$	−0.656188	−	2.01954i	−0.0252007	−	0.0775599i
$679$	−0.340108	−	1.04675i	−0.0130522	−	0.0401704i
$680$	1.07421	+	0.149742i	0.0411941	+	0.00574234i
$681$	0.695965	−	2.14196i	0.0266694	−	0.0820801i
$682$	13.5698			0.519615
$683$	−0.949135	+	2.92114i	−0.0363176	+	0.111774i	−0.967572	−	0.252596i	$-0.918716\pi$
$683$	−0.949135	+	2.92114i	−0.0363176	+	0.111774i	0.931254	+	0.364370i	$0.118716\pi$
$684$	−15.5284	+	11.2820i	−0.593742	+	0.431379i
$685$	11.4030	−	23.4464i	0.435688	−	0.895842i
$686$	0.809017	+	0.587785i	0.0308884	+	0.0224417i
$687$	1.76815	−	1.28464i	0.0674592	−	0.0490120i
$688$	6.35362	−	4.61617i	0.242229	−	0.175990i
$689$	−5.37981	−	3.90866i	−0.204954	−	0.148908i
$690$	1.96467	−	4.03966i	0.0747936	−	0.153787i
$691$	−28.4788	+	20.6910i	−1.08338	+	0.787124i	−0.978270	−	0.207337i	$-0.933520\pi$
$691$	−28.4788	+	20.6910i	−1.08338	+	0.787124i	−0.105113	+	0.994460i	$0.533520\pi$
$692$	−4.33207	+	13.3328i	−0.164681	+	0.506835i
$693$	−10.2616			−0.389805
$694$	4.63033	−	14.2507i	0.175765	−	0.540948i
$695$	−17.1838	−	2.39537i	−0.651818	−	0.0908616i
$696$	−0.434275	−	1.33656i	−0.0164611	−	0.0506622i
$697$	1.08659	+	3.34418i	0.0411575	+	0.126670i
$698$	−1.44555	−	1.05026i	−0.0547150	−	0.0397528i
$699$	2.54369			0.0962112
$700$	4.80939	+	1.36740i	0.181778	+	0.0516829i
$701$	−22.4188			−0.846746			−0.423373	−	0.905956i	$-0.639154\pi$
$701$	−22.4188			−0.846746			−0.423373	+	0.905956i	$0.639154\pi$
$702$	0.873045	+	0.634304i	0.0329510	+	0.0239403i
$703$	−2.64313	−	8.13470i	−0.0996874	−	0.306806i
$704$	1.07688	+	3.31430i	0.0405865	+	0.124912i
$705$	−2.59701	+	5.33986i	−0.0978092	+	0.201111i
$706$	−7.29026	+	22.4371i	−0.274372	+	0.844431i
$707$	13.1146			0.493224
$708$	−0.763873	+	2.35096i	−0.0287081	+	0.0883545i
$709$	6.26029	−	4.54837i	0.235110	−	0.170818i	−0.463992	−	0.885839i	$-0.653583\pi$
$709$	6.26029	−	4.54837i	0.235110	−	0.170818i	0.699102	+	0.715022i	$0.253583\pi$
$710$	−0.126068	−	0.710306i	−0.00473124	−	0.0266573i
$711$	2.55348	+	1.85521i	0.0957631	+	0.0695760i
$712$	9.89994	−	7.19273i	0.371016	−	0.269559i
$713$	−26.8915	+	19.5378i	−1.00709	+	0.731697i
$714$	−0.0923495	−	0.0670959i	−0.00345610	−	0.00251100i
$715$	5.30405	−	2.82785i	0.198360	−	0.105756i
$716$	−5.06011	+	3.67639i	−0.189105	+	0.137393i
$717$	−1.10965	+	3.41515i	−0.0414406	+	0.127541i
$718$	−7.23767			−0.270107
$719$	−13.4264	+	41.3221i	−0.500719	+	1.54105i	0.307132	+	0.951667i	$0.400631\pi$
$719$	−13.4264	+	41.3221i	−0.500719	+	1.54105i	−0.807851	+	0.589387i	$0.799369\pi$
$720$	1.15064	+	6.48304i	0.0428816	+	0.241609i
$721$	2.51189	+	7.73082i	0.0935479	+	0.287911i
$722$	−7.25856	−	22.3396i	−0.270136	−	0.831392i
$723$	1.04939	+	0.762429i	0.0390274	+	0.0283550i
$724$	2.97041			0.110394
$725$	−28.7196	−	8.16554i	−1.06662	−	0.303260i
$726$	0.269287			0.00999419
$727$	−32.0382	−	23.2771i	−1.18823	−	0.863302i	−0.195156	−	0.980772i	$-0.562521\pi$
$727$	−32.0382	−	23.2771i	−1.18823	−	0.863302i	−0.993076	+	0.117471i	$0.962521\pi$
$728$	−0.238366	−	0.733615i	−0.00883443	−	0.0271896i
$729$	−7.43343	−	22.8777i	−0.275312	−	0.847324i
$730$	12.0925	+	11.6514i	0.447564	+	0.431238i
$731$	−1.17714	+	3.62288i	−0.0435382	+	0.133997i
$732$	−3.07566			−0.113680
$733$	−4.05824	+	12.4900i	−0.149895	+	0.461328i	−0.997608	−	0.0691266i	$-0.977979\pi$
$733$	−4.05824	+	12.4900i	−0.149895	+	0.461328i	0.847713	+	0.530455i	$0.177979\pi$
$734$	−6.98531	+	5.07512i	−0.257832	+	0.187326i
$735$	−0.378950	−	0.365128i	−0.0139778	−	0.0134679i
$736$	−6.90600	−	5.01750i	−0.254559	−	0.184948i
$737$	−22.3962	+	16.2718i	−0.824974	+	0.599378i
$738$	−17.2697	+	12.5472i	−0.635707	+	0.461868i
$739$	−6.93549	−	5.03893i	−0.255126	−	0.185360i	0.452870	−	0.891577i	$-0.350400\pi$
$739$	−6.93549	−	5.03893i	−0.255126	−	0.185360i	−0.707996	+	0.706217i	$0.750400\pi$
$740$	−2.90604	−	0.405094i	−0.106828	−	0.0148916i
$741$	−0.957309	+	0.695526i	−0.0351676	+	0.0255508i
$742$	−2.66397	+	8.19887i	−0.0977975	+	0.300990i
$743$	19.8755			0.729162			0.364581	−	0.931172i	$-0.381212\pi$
$743$	19.8755			0.729162			0.364581	+	0.931172i	$0.381212\pi$
$744$	−0.283181	+	0.871542i	−0.0103819	+	0.0319523i
$745$	25.9440	−	13.8320i	0.950516	−	0.506767i
$746$	−8.26351	−	25.4325i	−0.302549	−	0.931149i
$747$	4.38506	+	13.4958i	0.160441	+	0.493787i
$748$	−1.36750	−	0.993546i	−0.0500007	−	0.0363276i
$749$	18.4064			0.672555
$750$	−2.40728	−	1.06210i	−0.0879014	−	0.0387823i
$751$	20.4537			0.746365			0.373183	−	0.927758i	$-0.378266\pi$
$751$	20.4537			0.746365			0.373183	+	0.927758i	$0.378266\pi$
$752$	9.12876	+	6.63243i	0.332892	+	0.241860i
$753$	−2.14397	−	6.59848i	−0.0781308	−	0.240462i
$754$	1.42342	+	4.38084i	0.0518379	+	0.159541i
$755$	−27.6238	+	14.7276i	−1.00533	+	0.535992i
$756$	0.432314	−	1.33053i	0.0157231	−	0.0483908i
$757$	10.7856			0.392008			0.196004	−	0.980603i	$-0.437203\pi$
$757$	10.7856			0.392008			0.196004	+	0.980603i	$0.437203\pi$
$758$	1.22610	−	3.77354i	0.0445339	−	0.137061i
$759$	−5.66377	+	4.11497i	−0.205582	+	0.149364i
$760$	−14.4359	−	2.01233i	−0.523647	−	0.0729949i
$761$	30.0238	+	21.8135i	1.08836	+	0.790740i	0.979122	−	0.203276i	$-0.0651587\pi$
$761$	30.0238	+	21.8135i	1.08836	+	0.790740i	0.109239	+	0.994016i	$0.465159\pi$
$762$	−0.606600	+	0.440720i	−0.0219748	+	0.0159656i
$763$	−11.0616	+	8.03675i	−0.400458	+	0.290950i
$764$	17.3312	+	12.5918i	0.627020	+	0.455556i
$765$	−2.29986	−	2.21597i	−0.0831516	−	0.0801185i
$766$	−1.79790	+	1.30625i	−0.0649606	+	0.0471966i
$767$	2.50374	−	7.70573i	0.0904049	−	0.278238i
$768$	−0.235339			−0.00849205
$769$	14.3106	−	44.0436i	0.516055	−	1.58825i	−0.265299	−	0.964166i	$-0.585471\pi$
$769$	14.3106	−	44.0436i	0.516055	−	1.58825i	0.781354	−	0.624088i	$-0.214529\pi$
$770$	−5.61144	−	5.40675i	−0.202222	−	0.194846i
$771$	−1.50769	−	4.64020i	−0.0542982	−	0.167113i
$772$	6.79724	+	20.9197i	0.244638	+	0.752918i
$773$	−39.5991	−	28.7705i	−1.42428	−	1.03480i	−0.991046	−	0.133521i	$-0.957372\pi$
$773$	−39.5991	−	28.7705i	−1.42428	−	1.03480i	−0.433236	−	0.901280i	$-0.642628\pi$
$774$	−23.1255			−0.831230
$775$	12.0211	+	15.3154i	0.431811	+	0.550145i
$776$	1.10061			0.0395097
$777$	0.249831	+	0.181513i	0.00896265	+	0.00651175i
$778$	0.284313	+	0.875024i	0.0101931	+	0.0313711i
$779$	−14.6023	−	44.9412i	−0.523181	−	1.61019i
$780$	0.0709356	+	0.399674i	0.00253990	+	0.0143106i
$781$	−0.347426	+	1.06927i	−0.0124319	+	0.0382614i
$782$	4.14050			0.148064
$783$	−2.58160	+	7.94534i	−0.0922588	+	0.283943i
$784$	−0.809017	+	0.587785i	−0.0288935	+	0.0209923i
$785$	6.41853	−	3.42203i	0.229087	−	0.122138i
$786$	1.44506	+	1.04990i	0.0515435	+	0.0374486i
$787$	−10.5415	+	7.65882i	−0.375762	+	0.273007i	−0.759596	−	0.650395i	$-0.774603\pi$
$787$	−10.5415	+	7.65882i	−0.375762	+	0.273007i	0.383834	+	0.923402i	$0.374603\pi$
$788$	1.94035	−	1.40975i	0.0691221	−	0.0502202i
$789$	−3.18725	−	2.31568i	−0.113469	−	0.0824402i
$790$	0.418847	+	2.35992i	0.0149019	+	0.0839621i
$791$	7.29979	−	5.30360i	0.259550	−	0.188574i
$792$	3.17100	−	9.75934i	0.112677	−	0.346783i
$793$	10.0811			0.357990
$794$	8.42926	−	25.9426i	0.299143	−	0.920668i
$795$	1.98412	−	4.07965i	0.0703694	−	0.144690i
$796$	0.152454	+	0.469204i	0.00540358	+	0.0166305i
$797$	1.81732	+	5.59313i	0.0643727	+	0.198119i	0.978070	−	0.208277i	$-0.0667855\pi$
$797$	1.81732	+	5.59313i	0.0643727	+	0.198119i	−0.913697	+	0.406396i	$0.866785\pi$
$798$	1.24105	+	0.901678i	0.0439328	+	0.0319190i
$799$	−5.47316			−0.193626
$800$	−2.78666	+	4.15145i	−0.0985232	+	0.146776i
$801$	−36.0333			−1.27317
$802$	−7.38078	−	5.36245i	−0.260624	−	0.189355i
$803$	−8.08714	−	24.8897i	−0.285389	−	0.878337i
$804$	−0.577705	−	1.77799i	−0.0203741	−	0.0627050i
$805$	18.9049	+	2.63529i	0.666311	+	0.0928818i
$806$	0.928181	−	2.85665i	0.0326938	−	0.100621i
$807$	0.587644			0.0206861
$808$	−4.05263	+	12.4727i	−0.142571	+	0.438788i
$809$	−25.7185	+	18.6856i	−0.904215	+	0.656951i	−0.939545	−	0.342425i	$-0.888752\pi$
$809$	−25.7185	+	18.6856i	−0.904215	+	0.656951i	0.0353303	+	0.999376i	$0.488752\pi$
$810$	8.31727	−	17.1016i	0.292239	−	0.600889i
$811$	26.0990	+	18.9620i	0.916459	+	0.665846i	0.942640	−	0.333811i	$-0.108335\pi$
$811$	26.0990	+	18.9620i	0.916459	+	0.665846i	−0.0261814	+	0.999657i	$0.508335\pi$
$812$	4.83111	−	3.51000i	0.169539	−	0.123177i
$813$	2.49428	−	1.81220i	0.0874783	−	0.0635567i
$814$	3.69947	+	2.68782i	0.129666	+	0.0942081i
$815$	−8.86857	+	18.2352i	−0.310653	+	0.638750i
$816$	0.0923495	−	0.0670959i	0.00323288	−	0.00234883i
$817$	15.8192	−	48.6865i	0.553444	−	1.70333i
$818$	34.5433			1.20778
$819$	−0.701896	+	2.16021i	−0.0245262	+	0.0754840i
$820$	−16.0548	−	2.23799i	−0.560658	−	0.0781541i
$821$	4.18359	+	12.8758i	0.146008	+	0.449367i	0.997139	−	0.0755861i	$-0.0240828\pi$
$821$	4.18359	+	12.8758i	0.146008	+	0.449367i	−0.851131	+	0.524953i	$0.824083\pi$
$822$	−0.847949	−	2.60972i	−0.0295756	−	0.0910244i
$823$	−9.78307	−	7.10781i	−0.341016	−	0.247763i	0.404074	−	0.914726i	$-0.367594\pi$
$823$	−9.78307	−	7.10781i	−0.341016	−	0.247763i	−0.745091	+	0.666963i	$0.767594\pi$
$824$	−8.12866			−0.283175
$825$	2.53183	+	3.22565i	0.0881471	+	0.112303i
$826$	−10.5038			−0.365473
$827$	−34.4347	−	25.0183i	−1.19741	−	0.869972i	−0.203386	−	0.979099i	$-0.565195\pi$
$827$	−34.4347	−	25.0183i	−1.19741	−	0.869972i	−0.994028	+	0.109127i	$0.965195\pi$
$828$	7.76748	+	23.9058i	0.269938	+	0.830785i
$829$	−1.00809	−	3.10257i	−0.0350123	−	0.107757i	0.932023	−	0.362399i	$-0.118042\pi$
$829$	−1.00809	−	3.10257i	−0.0350123	−	0.107757i	−0.967035	+	0.254642i	$0.918042\pi$
$830$	−4.71294	+	9.69053i	−0.163588	+	0.336363i
$831$	−1.19754	+	3.68564i	−0.0415420	+	0.127853i
$832$	0.771369			0.0267424
$833$	0.149888	−	0.461307i	0.00519330	−	0.0159833i
$834$	−1.47728	+	1.07331i	−0.0511541	+	0.0371657i
$835$	3.99198	+	22.4921i	0.138148	+	0.778371i
$836$	18.3773	+	13.3519i	0.635593	+	0.461785i
$837$	4.40721	−	3.20202i	0.152335	−	0.110678i
$838$	19.9154	−	14.4694i	0.687967	−	0.499837i
$839$	−38.7977	−	28.1882i	−1.33945	−	0.973165i	−0.999464	−	0.0327330i	$-0.989579\pi$
$839$	−38.7977	−	28.1882i	−1.33945	−	0.973165i	−0.339982	−	0.940432i	$-0.610421\pi$
$840$	0.464359	−	0.247573i	0.0160219	−	0.00854207i
$841$	−5.38783	+	3.91449i	−0.185787	+	0.134982i
$842$	−0.558083	+	1.71760i	−0.0192328	+	0.0591925i
$843$	−5.34583			−0.184120
$844$	1.93047	−	5.94139i	0.0664497	−	0.204511i
$845$	4.84736	+	27.3116i	0.166754	+	0.939547i
$846$	−10.2675	−	31.6001i	−0.353004	−	1.08644i
$847$	0.353594	+	1.08825i	0.0121496	+	0.0373927i
$848$	−6.97437	−	5.06718i	−0.239501	−	0.174008i
$849$	−3.39529			−0.116526
$850$	−0.0900769	−	2.42356i	−0.00308961	−	0.0831275i
$851$	−11.2012			−0.383973
$852$	−0.0614251	−	0.0446280i	−0.00210439	−	0.00152893i
$853$	4.05422	+	12.4776i	0.138814	+	0.427225i	0.996164	−	0.0875088i	$-0.0278906\pi$
$853$	4.05422	+	12.4776i	0.138814	+	0.427225i	−0.857350	+	0.514734i	$0.827891\pi$
$854$	−4.03857	−	12.4294i	−0.138197	−	0.425327i
$855$	30.9070	+	29.7796i	1.05700	+	1.01844i
$856$	−5.68789	+	17.5055i	−0.194408	+	0.598326i
$857$	−24.9323			−0.851672			−0.425836	−	0.904800i	$-0.640020\pi$
$857$	−24.9323			−0.851672			−0.425836	+	0.904800i	$0.640020\pi$
$858$	0.195489	−	0.601654i	0.00667389	−	0.0205401i
$859$	−41.9386	+	30.4702i	−1.43093	+	1.03963i	−0.441083	+	0.897466i	$0.645405\pi$
$859$	−41.9386	+	30.4702i	−1.43093	+	1.03963i	−0.989843	+	0.142162i	$0.954595\pi$
$860$	−12.6460	−	12.1847i	−0.431224	−	0.415495i
$861$	1.38023	+	1.00279i	0.0470380	+	0.0341751i
$862$	24.0610	−	17.4814i	0.819522	−	0.595418i
$863$	16.6990	−	12.1326i	0.568442	−	0.412997i	−0.266097	−	0.963946i	$-0.585734\pi$
$863$	16.6990	−	12.1326i	0.568442	−	0.412997i	0.834539	+	0.550949i	$0.185734\pi$
$864$	1.13181	+	0.822310i	0.0385051	+	0.0279756i
$865$	31.0470	+	4.32786i	1.05563	+	0.147152i
$866$	0.261083	−	0.189688i	0.00887198	−	0.00644587i
$867$	1.21919	−	3.75229i	0.0414059	−	0.127434i
$868$	−3.89393			−0.132169
$869$	1.15429	−	3.55254i	0.0391566	−	0.120512i
$870$	−2.77296	+	1.47840i	−0.0940120	+	0.0501224i
$871$	1.89354	+	5.82772i	0.0641602	+	0.197465i
$872$	−4.22517	−	13.0037i	−0.143082	−	0.440362i
$873$	−2.62193	−	1.90494i	−0.0887389	−	0.0644726i
$874$	−55.6427			−1.88214
$875$	1.13124	−	11.1230i	0.0382429	−	0.376025i
$876$	1.76734			0.0597129
$877$	−13.3368	−	9.68978i	−0.450353	−	0.327200i	0.339382	−	0.940649i	$-0.389782\pi$
$877$	−13.3368	−	9.68978i	−0.450353	−	0.327200i	−0.789735	+	0.613448i	$0.789782\pi$
$878$	8.23108	+	25.3327i	0.277785	+	0.854936i
$879$	2.01548	+	6.20301i	0.0679805	+	0.209222i
$880$	6.87616	−	3.66602i	0.231795	−	0.123581i
$881$	5.63807	−	17.3522i	0.189951	−	0.584610i	−0.810047	−	0.586365i	$-0.800559\pi$
$881$	5.63807	−	17.3522i	0.189951	−	0.584610i	0.999998	+	0.00175471i	$0.000558542\pi$
$882$	2.94462			0.0991504
$883$	8.56269	−	26.3532i	0.288157	−	0.886857i	−0.697277	−	0.716802i	$-0.745605\pi$
$883$	8.56269	−	26.3532i	0.288157	−	0.886857i	0.985434	−	0.170056i	$-0.0543947\pi$
$884$	−0.302694	+	0.219920i	−0.0101807	+	0.00739670i
$885$	5.47450	+	0.763130i	0.184023	+	0.0256523i
$886$	−9.73951	−	7.07617i	−0.327205	−	0.237729i
$887$	−4.27713	+	3.10752i	−0.143612	+	0.104340i	−0.657271	−	0.753654i	$-0.728289\pi$
$887$	−4.27713	+	3.10752i	−0.143612	+	0.104340i	0.513659	+	0.857994i	$0.328289\pi$
$888$	−0.249831	+	0.181513i	−0.00838379	+	0.00609118i
$889$	−2.57756	−	1.87271i	−0.0864486	−	0.0628086i
$890$	−19.7044	−	18.9857i	−0.660494	−	0.636401i
$891$	−23.9771	+	17.4204i	−0.803264	+	0.583606i
$892$	4.67326	−	14.3828i	0.156472	−	0.481572i
$893$	73.5518			2.46132
$894$	0.956209	−	2.94291i	0.0319804	−	0.0984255i
$895$	10.0714	+	9.70407i	0.336651	+	0.324371i
$896$	−0.309017	−	0.951057i	−0.0103235	−	0.0317726i
$897$	0.478858	+	1.47377i	0.0159886	+	0.0492078i
$898$	27.4926	+	19.9746i	0.917441	+	0.666560i
$899$	23.2529			0.775529
$900$	13.8238	−	5.06662i	0.460795	−	0.168887i
$901$	4.18149			0.139306
$902$	20.4382	+	14.8492i	0.680517	+	0.494424i
$903$	0.571135	+	1.75777i	0.0190062	+	0.0584950i
$904$	2.78827	+	8.58141i	0.0927365	+	0.285414i
$905$	−1.16071	−	6.53983i	−0.0385834	−	0.217391i
$906$	−1.01812	+	3.13345i	−0.0338247	+	0.104102i
$907$	47.2539			1.56904			0.784520	−	0.620103i	$-0.212909\pi$
$907$	47.2539			1.56904			0.784520	+	0.620103i	$0.212909\pi$
$908$	−2.95729	+	9.10160i	−0.0981411	+	0.302047i
$909$	31.2421	−	22.6987i	1.03624	−	0.752869i
$910$	−1.52203	+	0.811468i	−0.0504547	+	0.0268999i
$911$	0.867711	+	0.630429i	0.0287486	+	0.0208871i	0.602067	−	0.798446i	$-0.294344\pi$
$911$	0.867711	+	0.630429i	0.0287486	+	0.0208871i	−0.573318	+	0.819333i	$0.694344\pi$
$912$	−1.24105	+	0.901678i	−0.0410954	+	0.0298575i
$913$	13.5865	−	9.87118i	0.449648	−	0.326688i
$914$	20.3984	+	14.8203i	0.674719	+	0.490212i
$915$	1.20184	+	6.77156i	0.0397317	+	0.223861i
$916$	−7.51322	+	5.45867i	−0.248244	+	0.180360i
$917$	−2.34540	+	7.21840i	−0.0774519	+	0.238373i
$918$	−0.678580			−0.0223965
$919$	−2.60404	+	8.01440i	−0.0858993	+	0.264371i	−0.984775	−	0.173832i	$-0.944385\pi$
$919$	−2.60404	+	8.01440i	−0.0858993	+	0.264371i	0.898876	+	0.438203i	$0.144385\pi$
$920$	−8.34825	+	17.1653i	−0.275234	+	0.565923i
$921$	0.444405	+	1.36774i	0.0146436	+	0.0450684i
$922$	1.28554	+	3.95648i	0.0423369	+	0.130300i
$923$	0.201333	+	0.146277i	0.00662695	+	0.00481476i
$924$	−0.820123			−0.0269801
$925$	0.243683	+	6.55641i	0.00801225	+	0.215574i
$926$	−10.8531			−0.356655
$927$	19.3645	+	14.0691i	0.636012	+	0.462090i
$928$	1.84532	+	5.67931i	0.0605756	+	0.186432i
$929$	−11.4612	−	35.2740i	−0.376031	−	1.15730i	−0.942781	−	0.333413i	$-0.891800\pi$
$929$	−11.4612	−	35.2740i	−0.376031	−	1.15730i	0.566750	−	0.823890i	$-0.308200\pi$
$930$	2.02949	+	0.282906i	0.0665498	+	0.00927684i
$931$	−2.01429	+	6.19934i	−0.0660156	+	0.203175i
$932$	−10.8086			−0.354049
$933$	−1.53964	+	4.73852i	−0.0504055	+	0.155132i
$934$	11.6282	−	8.44840i	0.380487	−	0.276440i
$935$	−1.65309	+	3.39900i	−0.0540618	+	0.111159i
$936$	−1.83759	−	1.33509i	−0.0600634	−	0.0436386i
$937$	22.4393	−	16.3031i	0.733059	−	0.532599i	−0.157470	−	0.987524i	$-0.550334\pi$
$937$	22.4393	−	16.3031i	0.733059	−	0.532599i	0.890530	+	0.454925i	$0.150334\pi$
$938$	6.42670	−	4.66927i	0.209839	−	0.152457i
$939$	−1.39110	−	1.01069i	−0.0453969	−	0.0329828i
$940$	11.0352	−	22.6901i	0.359929	−	0.740070i
$941$	−33.0805	+	24.0344i	−1.07839	+	0.783498i	−0.977402	−	0.211390i	$-0.932201\pi$
$941$	−33.0805	+	24.0344i	−1.07839	+	0.783498i	−0.100990	+	0.994887i	$0.532201\pi$
$942$	0.236565	−	0.728073i	0.00770771	−	0.0237219i
$943$	−61.8825			−2.01517
$944$	3.24585	−	9.98969i	0.105643	−	0.325137i
$945$	−3.09830	−	0.431894i	−0.100788	−	0.0140495i
$946$	8.45729	+	26.0289i	0.274970	+	0.846271i
$947$	−11.4471	−	35.2306i	−0.371982	−	1.14484i	−0.945493	−	0.325644i	$-0.894419\pi$
$947$	−11.4471	−	35.2306i	−0.371982	−	1.14484i	0.573511	−	0.819198i	$-0.305581\pi$
$948$	0.204079	+	0.148272i	0.00662817	+	0.00481565i
$949$	−5.79281			−0.188042
$950$	1.21051	+	32.5694i	0.0392742	+	1.05669i
$951$	2.53137			0.0820853
$952$	0.392411	+	0.285103i	0.0127181	+	0.00924026i
$953$	13.2075	+	40.6486i	0.427834	+	1.31674i	0.900255	+	0.435363i	$0.143380\pi$
$953$	13.2075	+	40.6486i	0.427834	+	1.31674i	−0.472421	+	0.881373i	$0.656620\pi$
$954$	7.84438	+	24.1425i	0.253971	+	0.781643i
$955$	20.9506	−	43.0777i	0.677946	−	1.39396i
$956$	4.71512	−	14.5116i	0.152498	−	0.469340i
$957$	4.89742			0.158311
$958$	8.00683	−	24.6425i	0.258689	−	0.796163i
$959$	9.43305	−	6.85351i	0.304609	−	0.221311i
$960$	0.0919607	+	0.518136i	0.00296802	+	0.0167228i
$961$	12.8126	+	9.30892i	0.413310	+	0.300288i
$962$	0.818871	−	0.594945i	0.0264015	−	0.0191818i
$963$	43.8485	−	31.8578i	1.41300	−	1.02660i
$964$	−4.45908	−	3.23971i	−0.143617	−	0.104344i
$965$	43.4021	−	23.1398i	1.39716	−	0.744896i
$966$	1.62525	−	1.18081i	0.0522915	−	0.0379920i
$967$	2.09882	−	6.45952i	0.0674937	−	0.207724i	−0.911621	−	0.411031i	$-0.865169\pi$
$967$	2.09882	−	6.45952i	0.0674937	−	0.207724i	0.979115	+	0.203307i	$0.0651689\pi$
$968$	−1.14425			−0.0367777
$969$	0.229932	−	0.707657i	0.00738647	−	0.0227332i
$970$	−0.430075	−	2.42318i	−0.0138089	−	0.0778035i
$971$	−6.55153	−	20.1635i	−0.210249	−	0.647079i	−0.999457	−	0.0329533i	$-0.989509\pi$
$971$	−6.55153	−	20.1635i	−0.210249	−	0.647079i	0.789208	−	0.614126i	$-0.210491\pi$
$972$	−1.91543	−	5.89508i	−0.0614374	−	0.189085i
$973$	−6.27726	−	4.56070i	−0.201240	−	0.146209i
$974$	18.4912			0.592495
$975$	0.852227	−	0.312352i	0.0272931	−	0.0100033i
$976$	13.0691			0.418331
$977$	4.64666	+	3.37599i	0.148660	+	0.108008i	0.659629	−	0.751591i	$-0.270713\pi$
$977$	4.64666	+	3.37599i	0.148660	+	0.108008i	−0.510969	+	0.859599i	$0.670713\pi$
$978$	0.659482	+	2.02968i	0.0210879	+	0.0649019i
$979$	13.1778	+	40.5571i	0.421164	+	1.29621i
$980$	1.61023	+	1.55150i	0.0514370	+	0.0495608i
$981$	−12.4415	+	38.2910i	−0.397226	+	1.22254i
$982$	7.19251			0.229522
$983$	−0.465698	+	1.43327i	−0.0148535	+	0.0457143i	−0.958209	−	0.286071i	$-0.907651\pi$
$983$	−0.465698	+	1.43327i	−0.0148535	+	0.0457143i	0.943355	+	0.331785i	$0.107651\pi$
$984$	−1.38023	+	1.00279i	−0.0440000	+	0.0319679i
$985$	−3.86199	−	3.72112i	−0.123053	−	0.118565i
$986$	−2.34331	−	1.70252i	−0.0746263	−	0.0542192i
$987$	−2.14835	+	1.56087i	−0.0683827	+	0.0496830i
$988$	4.06779	−	2.95542i	0.129414	−	0.0940246i
$989$	−54.2363	−	39.4050i	−1.72461	−	1.25300i
$990$	−22.7258	−	3.16792i	−0.722275	−	0.100683i
$991$	1.64952	−	1.19844i	0.0523986	−	0.0380698i	−0.561278	−	0.827628i	$-0.689690\pi$
$991$	1.64952	−	1.19844i	0.0523986	−	0.0380698i	0.613676	+	0.789558i	$0.289690\pi$
$992$	1.20329	−	3.70335i	0.0382046	−	0.117582i
$993$	−5.19293			−0.164793
$994$	0.0996959	−	0.306832i	0.00316216	−	0.00973214i
$995$	0.973455	−	0.518997i	0.0308606	−	0.0164533i
$996$	0.350462	+	1.07861i	0.0111048	+	0.0341771i
$997$	5.02102	+	15.4531i	0.159017	+	0.489405i	0.998546	−	0.0539109i	$-0.0171687\pi$
$997$	5.02102	+	15.4531i	0.159017	+	0.489405i	−0.839528	+	0.543316i	$0.817169\pi$
$998$	16.3077	+	11.8482i	0.516210	+	0.375049i
$999$	1.83575			0.0580805

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	350.2.h.d.141.3	✓	20
25.6	even	5		8750.2.a.w.1.5		10
25.11	even	5	inner	350.2.h.d.211.3	yes	20
25.19	even	10		8750.2.a.x.1.6		10

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
350.2.h.d.141.3	✓	20	1.1	even	1	trivial
350.2.h.d.211.3	yes	20	25.11	even	5	inner
8750.2.a.w.1.5		10	25.6	even	5
8750.2.a.x.1.6		10	25.19	even	10

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:	\( N \)	\(=\)	\( 350 = 2 \cdot 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	350.h (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.809017 + 0.587785i) q^{2} +(-0.0727237 - 0.223820i) q^{3} +(0.309017 + 0.951057i) q^{4} +(1.97315 - 1.05198i) q^{5} +(0.0727237 - 0.223820i) q^{6} +1.00000 q^{7} +(-0.309017 + 0.951057i) q^{8} +(2.38224 - 1.73080i) q^{9} +O(q^{10})\)	\(q+(0.809017 + 0.587785i) q^{2} +(-0.0727237 - 0.223820i) q^{3} +(0.309017 + 0.951057i) q^{4} +(1.97315 - 1.05198i) q^{5} +(0.0727237 - 0.223820i) q^{6} +1.00000 q^{7} +(-0.309017 + 0.951057i) q^{8} +(2.38224 - 1.73080i) q^{9} +(2.21465 + 0.308716i) q^{10} +(-2.81931 - 2.04835i) q^{11} +(0.190393 - 0.138329i) q^{12} +(-0.624050 + 0.453399i) q^{13} +(0.809017 + 0.587785i) q^{14} +(-0.378950 - 0.365128i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(0.149888 - 0.461307i) q^{17} +2.94462 q^{18} +(-2.01429 + 6.19934i) q^{19} +(1.61023 + 1.55150i) q^{20} +(-0.0727237 - 0.223820i) q^{21} +(-1.07688 - 3.31430i) q^{22} +(6.90600 + 5.01750i) q^{23} +0.235339 q^{24} +(2.78666 - 4.15145i) q^{25} -0.771369 q^{26} +(-1.13181 - 0.822310i) q^{27} +(0.309017 + 0.951057i) q^{28} +(-1.84532 - 5.67931i) q^{29} +(-0.0919607 - 0.518136i) q^{30} +(-1.20329 + 3.70335i) q^{31} -1.00000 q^{32} +(-0.253432 + 0.779983i) q^{33} +(0.392411 - 0.285103i) q^{34} +(1.97315 - 1.05198i) q^{35} +(2.38224 + 1.73080i) q^{36} +(-1.06158 + 0.771285i) q^{37} +(-5.27348 + 3.83140i) q^{38} +(0.146863 + 0.106702i) q^{39} +(0.390759 + 2.20166i) q^{40} +(-5.86485 + 4.26106i) q^{41} +(0.0727237 - 0.223820i) q^{42} -7.85350 q^{43} +(1.07688 - 3.31430i) q^{44} +(2.87975 - 5.92122i) q^{45} +(2.63786 + 8.11849i) q^{46} +(-3.48688 - 10.7315i) q^{47} +(0.190393 + 0.138329i) q^{48} +1.00000 q^{49} +(4.69461 - 1.72064i) q^{50} -0.114150 q^{51} +(-0.624050 - 0.453399i) q^{52} +(2.66397 + 8.19887i) q^{53} +(-0.432314 - 1.33053i) q^{54} +(-7.71776 - 1.07583i) q^{55} +(-0.309017 + 0.951057i) q^{56} +1.53403 q^{57} +(1.84532 - 5.67931i) q^{58} +(-8.49774 + 6.17397i) q^{59} +(0.230155 - 0.473234i) q^{60} +(-10.5731 - 7.68182i) q^{61} +(-3.15026 + 2.28880i) q^{62} +(2.38224 - 1.73080i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(-0.754377 + 1.55112i) q^{65} +(-0.663493 + 0.482056i) q^{66} +(2.45478 - 7.55504i) q^{67} +0.485047 q^{68} +(0.620790 - 1.91059i) q^{69} +(2.21465 + 0.308716i) q^{70} +(-0.0996959 - 0.306832i) q^{71} +(0.909936 + 2.80050i) q^{72} +(6.07554 + 4.41414i) q^{73} -1.31219 q^{74} +(-1.13184 - 0.321802i) q^{75} -6.51837 q^{76} +(-2.81931 - 2.04835i) q^{77} +(0.0560967 + 0.172648i) q^{78} +(0.331230 + 1.01942i) q^{79} +(-0.977973 + 2.01086i) q^{80} +(2.62807 - 8.08836i) q^{81} -7.24935 q^{82} +(-1.48918 + 4.58323i) q^{83} +(0.190393 - 0.138329i) q^{84} +(-0.189536 - 1.06791i) q^{85} +(-6.35362 - 4.61617i) q^{86} +(-1.13695 + 0.826040i) q^{87} +(2.81931 - 2.04835i) q^{88} +(-9.89994 - 7.19273i) q^{89} +(5.81017 - 3.09769i) q^{90} +(-0.624050 + 0.453399i) q^{91} +(-2.63786 + 8.11849i) q^{92} +0.916393 q^{93} +(3.48688 - 10.7315i) q^{94} +(2.54711 + 14.3512i) q^{95} +(0.0727237 + 0.223820i) q^{96} +(-0.340108 - 1.04675i) q^{97} +(0.809017 + 0.587785i) q^{98} -10.2616 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 20 q + 5 q^{2} + 3 q^{3} - 5 q^{4} - 5 q^{5} - 3 q^{6} + 20 q^{7} + 5 q^{8} - 6 q^{9}+O(q^{10}) \) 20 * q + 5 * q^2 + 3 * q^3 - 5 * q^4 - 5 * q^5 - 3 * q^6 + 20 * q^7 + 5 * q^8 - 6 * q^9	\( 20 q + 5 q^{2} + 3 q^{3} - 5 q^{4} - 5 q^{5} - 3 q^{6} + 20 q^{7} + 5 q^{8} - 6 q^{9} - 9 q^{11} - 2 q^{12} + 5 q^{13} + 5 q^{14} - 5 q^{16} - 12 q^{17} - 34 q^{18} + 2 q^{19} + 5 q^{20} + 3 q^{21} - 6 q^{22} - 5 q^{23} + 2 q^{24} - 35 q^{25} + 20 q^{26} - 6 q^{27} - 5 q^{28} - 22 q^{29} - 25 q^{30} - 7 q^{31} - 20 q^{32} + 25 q^{33} - 18 q^{34} - 5 q^{35} - 6 q^{36} - 3 q^{37} + 8 q^{38} - 22 q^{39} + 19 q^{41} - 3 q^{42} + 2 q^{43} + 6 q^{44} + 45 q^{45} - 10 q^{46} - 14 q^{47} - 2 q^{48} + 20 q^{49} + 10 q^{50} + 38 q^{51} + 5 q^{52} - q^{53} - 19 q^{54} - 20 q^{55} + 5 q^{56} + 116 q^{57} + 22 q^{58} + 17 q^{59} - 5 q^{60} - 38 q^{61} + 7 q^{62} - 6 q^{63} - 5 q^{64} + 15 q^{65} - 16 q^{67} - 12 q^{68} + 35 q^{69} + q^{71} + 11 q^{72} + 19 q^{73} + 18 q^{74} + 35 q^{75} + 12 q^{76} - 9 q^{77} - 18 q^{78} - 64 q^{79} - 40 q^{81} + 26 q^{82} + 57 q^{83} - 2 q^{84} - 40 q^{85} - 2 q^{86} - 78 q^{87} + 9 q^{88} - 6 q^{89} + 10 q^{90} + 5 q^{91} + 10 q^{92} - 22 q^{93} + 14 q^{94} + 60 q^{95} - 3 q^{96} - 18 q^{97} + 5 q^{98} + 112 q^{99}+O(q^{100}) \) 20 * q + 5 * q^2 + 3 * q^3 - 5 * q^4 - 5 * q^5 - 3 * q^6 + 20 * q^7 + 5 * q^8 - 6 * q^9 - 9 * q^11 - 2 * q^12 + 5 * q^13 + 5 * q^14 - 5 * q^16 - 12 * q^17 - 34 * q^18 + 2 * q^19 + 5 * q^20 + 3 * q^21 - 6 * q^22 - 5 * q^23 + 2 * q^24 - 35 * q^25 + 20 * q^26 - 6 * q^27 - 5 * q^28 - 22 * q^29 - 25 * q^30 - 7 * q^31 - 20 * q^32 + 25 * q^33 - 18 * q^34 - 5 * q^35 - 6 * q^36 - 3 * q^37 + 8 * q^38 - 22 * q^39 + 19 * q^41 - 3 * q^42 + 2 * q^43 + 6 * q^44 + 45 * q^45 - 10 * q^46 - 14 * q^47 - 2 * q^48 + 20 * q^49 + 10 * q^50 + 38 * q^51 + 5 * q^52 - q^53 - 19 * q^54 - 20 * q^55 + 5 * q^56 + 116 * q^57 + 22 * q^58 + 17 * q^59 - 5 * q^60 - 38 * q^61 + 7 * q^62 - 6 * q^63 - 5 * q^64 + 15 * q^65 - 16 * q^67 - 12 * q^68 + 35 * q^69 + q^71 + 11 * q^72 + 19 * q^73 + 18 * q^74 + 35 * q^75 + 12 * q^76 - 9 * q^77 - 18 * q^78 - 64 * q^79 - 40 * q^81 + 26 * q^82 + 57 * q^83 - 2 * q^84 - 40 * q^85 - 2 * q^86 - 78 * q^87 + 9 * q^88 - 6 * q^89 + 10 * q^90 + 5 * q^91 + 10 * q^92 - 22 * q^93 + 14 * q^94 + 60 * q^95 - 3 * q^96 - 18 * q^97 + 5 * q^98 + 112 * q^99

Introduction

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