LMFDB - Embedded newform 75.2.g.b.61.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [75,2,Mod(16,75)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(75, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([0, 2]))

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

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

chi := DirichletCharacter("75.16");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 75 = 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	75.g (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:	$0.598878015160$
Analytic rank:	$0$
Dimension:	$8$
Relative dimension:	$2$ over $\Q(\zeta_{5})$
Coefficient field:	8.0.26265625.1
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{8} - 3x^{7} + 2x^{6} + x^{4} + 8x^{2} - 24x + 16 $ x^8 - 3x^7 + 2x^6 + x^4 + 8x^2 - 24x + 16
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 5 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			61.2
Root			$-0.0272949 + 1.41395i$ of defining polynomial
Character	$\chi$	$=$	75.61
Dual form			75.2.g.b.16.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.38048 - 1.00297i) q^{2} +(0.309017 - 0.951057i) q^{3} +(0.281722 - 0.867051i) q^{4} +(-1.02729 + 1.98612i) q^{5} +(-0.527295 - 1.62285i) q^{6} -3.94243 q^{7} +(0.573870 + 1.76619i) q^{8} +(-0.809017 - 0.587785i) q^{9} +O(q^{10})$	\(q+(1.38048 - 1.00297i) q^{2} +(0.309017 - 0.951057i) q^{3} +(0.281722 - 0.867051i) q^{4} +(-1.02729 + 1.98612i) q^{5} +(-0.527295 - 1.62285i) q^{6} -3.94243 q^{7} +(0.573870 + 1.76619i) q^{8} +(-0.809017 - 0.587785i) q^{9} +(0.573870 + 3.77214i) q^{10} +(4.78023 - 3.47304i) q^{11} +(-0.737558 - 0.535867i) q^{12} +(-2.66220 - 1.93420i) q^{13} +(-5.44243 + 3.95416i) q^{14} +(1.57146 + 1.59076i) q^{15} +(4.03877 + 2.93434i) q^{16} +(0.836312 + 2.57390i) q^{17} -1.70636 q^{18} +(-0.728704 - 2.24272i) q^{19} +(1.43265 + 1.45025i) q^{20} +(-1.21828 + 3.74947i) q^{21} +(3.11562 - 9.58890i) q^{22} +(0.472705 - 0.343440i) q^{23} +1.85708 q^{24} +(-2.88933 - 4.08066i) q^{25} -5.61505 q^{26} +(-0.809017 + 0.587785i) q^{27} +(-1.11067 + 3.41829i) q^{28} +(-1.20877 + 3.72022i) q^{29} +(3.76485 + 0.619872i) q^{30} +(0.837233 + 2.57674i) q^{31} +4.80433 q^{32} +(-1.82589 - 5.61950i) q^{33} +(3.73607 + 2.71441i) q^{34} +(4.05004 - 7.83013i) q^{35} +(-0.737558 + 0.535867i) q^{36} +(0.0168692 + 0.0122562i) q^{37} +(-3.25535 - 2.36515i) q^{38} +(-2.66220 + 1.93420i) q^{39} +(-4.09740 - 0.674625i) q^{40} +(-1.19098 - 0.865300i) q^{41} +(2.07882 + 6.39796i) q^{42} +1.27279 q^{43} +(-1.66461 - 5.12314i) q^{44} +(1.99851 - 1.00297i) q^{45} +(0.308096 - 0.948222i) q^{46} +(1.67907 - 5.16764i) q^{47} +(4.03877 - 2.93434i) q^{48} +8.54276 q^{49} +(-8.08145 - 2.73533i) q^{50} +2.70636 q^{51} +(-2.42705 + 1.76336i) q^{52} +(0.870050 - 2.67774i) q^{53} +(-0.527295 + 1.62285i) q^{54} +(1.98716 + 13.0619i) q^{55} +(-2.26244 - 6.96308i) q^{56} -2.35813 q^{57} +(2.06260 + 6.34804i) q^{58} +(3.79456 + 2.75691i) q^{59} +(1.82199 - 0.914384i) q^{60} +(-4.51538 + 3.28061i) q^{61} +(3.74018 + 2.71740i) q^{62} +(3.18949 + 2.31730i) q^{63} +(-1.44528 + 1.05006i) q^{64} +(6.57641 - 3.30045i) q^{65} +(-8.15681 - 5.92627i) q^{66} +(1.86361 + 5.73559i) q^{67} +2.46731 q^{68} +(-0.180557 - 0.555698i) q^{69} +(-2.26244 - 14.8714i) q^{70} +(-2.50346 + 7.70487i) q^{71} +(0.573870 - 1.76619i) q^{72} +(-10.7734 + 7.82730i) q^{73} +0.0355801 q^{74} +(-4.77379 + 1.48692i) q^{75} -2.14984 q^{76} +(-18.8457 + 13.6922i) q^{77} +(-1.73515 + 5.34023i) q^{78} +(5.14971 - 15.8492i) q^{79} +(-9.97696 + 5.00705i) q^{80} +(0.309017 + 0.951057i) q^{81} -2.51200 q^{82} +(0.241540 + 0.743385i) q^{83} +(2.90777 + 2.11262i) q^{84} +(-5.97122 - 0.983144i) q^{85} +(1.75705 - 1.27657i) q^{86} +(3.16461 + 2.29922i) q^{87} +(8.87728 + 6.44972i) q^{88} +(2.80994 - 2.04154i) q^{89} +(1.75294 - 3.38904i) q^{90} +(10.4955 + 7.62545i) q^{91} +(-0.164609 - 0.506614i) q^{92} +2.70934 q^{93} +(-2.86510 - 8.81786i) q^{94} +(5.20290 + 0.856643i) q^{95} +(1.48462 - 4.56919i) q^{96} +(-0.758460 + 2.33430i) q^{97} +(11.7931 - 8.56817i) q^{98} -5.90869 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 8 q - q^{2} - 2 q^{3} + q^{4} - 5 q^{5} - q^{6} + 4 q^{7} - 2 q^{9}+O(q^{10}) $ 8 * q - q^2 - 2 * q^3 + q^4 - 5 * q^5 - q^6 + 4 * q^7 - 2 * q^9	\( 8 q - q^{2} - 2 q^{3} + q^{4} - 5 q^{5} - q^{6} + 4 q^{7} - 2 q^{9} + 16 q^{11} - 9 q^{12} - 8 q^{13} - 8 q^{14} + 5 q^{15} - 17 q^{16} - q^{17} + 4 q^{18} - 5 q^{19} - 10 q^{20} - 11 q^{21} + 13 q^{22} + 7 q^{23} + 30 q^{24} - 15 q^{25} + 6 q^{26} - 2 q^{27} - 17 q^{28} + 5 q^{29} + 30 q^{30} - 19 q^{31} + 24 q^{32} - 9 q^{33} + 12 q^{34} - 10 q^{35} - 9 q^{36} - q^{37} - 10 q^{38} - 8 q^{39} + 25 q^{40} - 14 q^{41} - 8 q^{42} + 32 q^{43} - 3 q^{44} - 5 q^{45} + 16 q^{46} - q^{47} - 17 q^{48} + 16 q^{49} + 10 q^{50} + 4 q^{51} - 6 q^{52} - 3 q^{53} - q^{54} + 15 q^{55} - 15 q^{56} + 10 q^{57} + 5 q^{58} + 30 q^{59} - 15 q^{60} - 14 q^{61} - 17 q^{62} + 9 q^{63} - 44 q^{64} + 25 q^{65} - 7 q^{66} + 4 q^{67} - 22 q^{68} - 8 q^{69} - 15 q^{70} + 21 q^{71} + 2 q^{73} - 38 q^{74} - 15 q^{75} + 80 q^{76} - 37 q^{77} - 14 q^{78} - 30 q^{79} - 50 q^{80} - 2 q^{81} - 12 q^{82} + 2 q^{83} + 8 q^{84} - 30 q^{85} - 34 q^{86} + 15 q^{87} + 70 q^{88} - 5 q^{90} + 21 q^{91} + 9 q^{92} + 46 q^{93} - 33 q^{94} + 65 q^{95} + 34 q^{96} - 6 q^{97} + 73 q^{98} - 14 q^{99}+O(q^{100}) \) 8 * q - q^2 - 2 * q^3 + q^4 - 5 * q^5 - q^6 + 4 * q^7 - 2 * q^9 + 16 * q^11 - 9 * q^12 - 8 * q^13 - 8 * q^14 + 5 * q^15 - 17 * q^16 - q^17 + 4 * q^18 - 5 * q^19 - 10 * q^20 - 11 * q^21 + 13 * q^22 + 7 * q^23 + 30 * q^24 - 15 * q^25 + 6 * q^26 - 2 * q^27 - 17 * q^28 + 5 * q^29 + 30 * q^30 - 19 * q^31 + 24 * q^32 - 9 * q^33 + 12 * q^34 - 10 * q^35 - 9 * q^36 - q^37 - 10 * q^38 - 8 * q^39 + 25 * q^40 - 14 * q^41 - 8 * q^42 + 32 * q^43 - 3 * q^44 - 5 * q^45 + 16 * q^46 - q^47 - 17 * q^48 + 16 * q^49 + 10 * q^50 + 4 * q^51 - 6 * q^52 - 3 * q^53 - q^54 + 15 * q^55 - 15 * q^56 + 10 * q^57 + 5 * q^58 + 30 * q^59 - 15 * q^60 - 14 * q^61 - 17 * q^62 + 9 * q^63 - 44 * q^64 + 25 * q^65 - 7 * q^66 + 4 * q^67 - 22 * q^68 - 8 * q^69 - 15 * q^70 + 21 * q^71 + 2 * q^73 - 38 * q^74 - 15 * q^75 + 80 * q^76 - 37 * q^77 - 14 * q^78 - 30 * q^79 - 50 * q^80 - 2 * q^81 - 12 * q^82 + 2 * q^83 + 8 * q^84 - 30 * q^85 - 34 * q^86 + 15 * q^87 + 70 * q^88 - 5 * q^90 + 21 * q^91 + 9 * q^92 + 46 * q^93 - 33 * q^94 + 65 * q^95 + 34 * q^96 - 6 * q^97 + 73 * q^98 - 14 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/75\mathbb{Z}\right)^\times$.

$n$	$26$	$52$
$\chi(n)$	$1$	$e\left(\frac{4}{5}\right)$

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 $

$2$	1.38048	−	1.00297i	0.976144	−	0.709210i	0.0193004	−	0.999814i	$-0.493856\pi$
$2$	1.38048	−	1.00297i	0.976144	−	0.709210i	0.956844	+	0.290604i	$0.0938561\pi$
$3$	0.309017	−	0.951057i	0.178411	−	0.549093i
$3$	0.309017	−	0.951057i	0.178411	−	0.549093i
$4$	0.281722	−	0.867051i	0.140861	−	0.433526i
$5$	−1.02729	+	1.98612i	−0.459420	+	0.888219i
$5$	−1.02729	+	1.98612i	−0.459420	+	0.888219i
$6$	−0.527295	−	1.62285i	−0.215267	−	0.662524i
$7$	−3.94243			−1.49010			−0.745049	−	0.667009i	$-0.767574\pi$
$7$	−3.94243			−1.49010			−0.745049	+	0.667009i	$0.767574\pi$
$8$	0.573870	+	1.76619i	0.202894	+	0.624442i
$9$	−0.809017	−	0.587785i	−0.269672	−	0.195928i
$10$	0.573870	+	3.77214i	0.181474	+	1.19286i
$11$	4.78023	−	3.47304i	1.44129	−	1.04716i	0.453524	−	0.891244i	$-0.350167\pi$
$11$	4.78023	−	3.47304i	1.44129	−	1.04716i	0.987770	−	0.155918i	$-0.0498334\pi$
$12$	−0.737558	−	0.535867i	−0.212915	−	0.154692i
$13$	−2.66220	−	1.93420i	−0.738361	−	0.536451i	0.153836	−	0.988096i	$-0.450837\pi$
$13$	−2.66220	−	1.93420i	−0.738361	−	0.536451i	−0.892197	+	0.451646i	$0.850837\pi$
$14$	−5.44243	+	3.95416i	−1.45455	+	1.05679i
$15$	1.57146	+	1.59076i	0.405749	+	0.410732i
$16$	4.03877	+	2.93434i	1.00969	+	0.733585i
$17$	0.836312	+	2.57390i	0.202835	+	0.624263i	0.999795	+	0.0202310i	$0.00644018\pi$
$17$	0.836312	+	2.57390i	0.202835	+	0.624263i	−0.796960	+	0.604032i	$0.793560\pi$
$18$	−1.70636			−0.402193
$19$	−0.728704	−	2.24272i	−0.167176	−	0.514515i	0.832014	−	0.554755i	$-0.187188\pi$
$19$	−0.728704	−	2.24272i	−0.167176	−	0.514515i	−0.999190	+	0.0402396i	$0.987188\pi$
$20$	1.43265	+	1.45025i	0.320351	+	0.324286i
$21$	−1.21828	+	3.74947i	−0.265850	+	0.818202i
$22$	3.11562	−	9.58890i	0.664253	−	2.04436i
$23$	0.472705	−	0.343440i	0.0985658	−	0.0716123i	−0.537411	−	0.843321i	$-0.680597\pi$
$23$	0.472705	−	0.343440i	0.0985658	−	0.0716123i	0.635977	+	0.771708i	$0.280597\pi$
$24$	1.85708			0.379075
$25$	−2.88933	−	4.08066i	−0.577866	−	0.816132i
$26$	−5.61505			−1.10120
$27$	−0.809017	+	0.587785i	−0.155695	+	0.113119i
$28$	−1.11067	+	3.41829i	−0.209897	+	0.645996i
$29$	−1.20877	+	3.72022i	−0.224464	+	0.690828i	0.773882	+	0.633330i	$0.218312\pi$
$29$	−1.20877	+	3.72022i	−0.224464	+	0.690828i	−0.998346	+	0.0574980i	$0.981688\pi$
$30$	3.76485	+	0.619872i	0.687365	+	0.113173i
$31$	0.837233	+	2.57674i	0.150371	+	0.462796i	0.997663	−	0.0683330i	$-0.0217680\pi$
$31$	0.837233	+	2.57674i	0.150371	+	0.462796i	−0.847291	+	0.531129i	$0.821768\pi$
$32$	4.80433			0.849294
$33$	−1.82589	−	5.61950i	−0.317846	−	0.978229i
$34$	3.73607	+	2.71441i	0.640730	+	0.465518i
$35$	4.05004	−	7.83013i	0.684581	−	1.32353i
$36$	−0.737558	+	0.535867i	−0.122926	+	0.0893112i
$37$	0.0168692	+	0.0122562i	0.00277328	+	0.00201490i	0.589171	−	0.808008i	$-0.299454\pi$
$37$	0.0168692	+	0.0122562i	0.00277328	+	0.00201490i	−0.586398	+	0.810023i	$0.699454\pi$
$38$	−3.25535	−	2.36515i	−0.528087	−	0.383678i
$39$	−2.66220	+	1.93420i	−0.426293	+	0.309720i
$40$	−4.09740	−	0.674625i	−0.647855	−	0.106668i
$41$	−1.19098	−	0.865300i	−0.186000	−	0.135137i	0.490889	−	0.871222i	$-0.336672\pi$
$41$	−1.19098	−	0.865300i	−0.186000	−	0.135137i	−0.676889	+	0.736085i	$0.736672\pi$
$42$	2.07882	+	6.39796i	0.320769	+	0.987227i
$43$	1.27279			0.194098			0.0970491	−	0.995280i	$-0.469060\pi$
$43$	1.27279			0.194098			0.0970491	+	0.995280i	$0.469060\pi$
$44$	−1.66461	−	5.12314i	−0.250949	−	0.772342i
$45$	1.99851	−	1.00297i	0.297920	−	0.149515i
$46$	0.308096	−	0.948222i	0.0454263	−	0.139808i
$47$	1.67907	−	5.16764i	0.244917	−	0.753777i	−0.750733	−	0.660606i	$-0.770299\pi$
$47$	1.67907	−	5.16764i	0.244917	−	0.753777i	0.995650	−	0.0931716i	$-0.0297005\pi$
$48$	4.03877	−	2.93434i	0.582947	−	0.423536i
$49$	8.54276			1.22039
$50$	−8.08145	−	2.73533i	−1.14289	−	0.386833i
$51$	2.70636			0.378967
$52$	−2.42705	+	1.76336i	−0.336571	+	0.244533i
$53$	0.870050	−	2.67774i	0.119511	−	0.367816i	−0.873350	−	0.487092i	$-0.838058\pi$
$53$	0.870050	−	2.67774i	0.119511	−	0.367816i	0.992861	+	0.119277i	$0.0380575\pi$
$54$	−0.527295	+	1.62285i	−0.0717557	+	0.220841i
$55$	1.98716	+	13.0619i	0.267949	+	1.76127i
$56$	−2.26244	−	6.96308i	−0.302332	−	0.930481i
$57$	−2.35813			−0.312343
$58$	2.06260	+	6.34804i	0.270833	+	0.833539i
$59$	3.79456	+	2.75691i	0.494009	+	0.358919i	0.806724	−	0.590928i	$-0.201238\pi$
$59$	3.79456	+	2.75691i	0.494009	+	0.358919i	−0.312715	+	0.949847i	$0.601238\pi$
$60$	1.82199	−	0.914384i	0.235217	−	0.118046i
$61$	−4.51538	+	3.28061i	−0.578135	+	0.420040i	−0.838051	−	0.545591i	$-0.816305\pi$
$61$	−4.51538	+	3.28061i	−0.578135	+	0.420040i	0.259916	+	0.965631i	$0.416305\pi$
$62$	3.74018	+	2.71740i	0.475004	+	0.345110i
$63$	3.18949	+	2.31730i	0.401838	+	0.291953i
$64$	−1.44528	+	1.05006i	−0.180660	+	0.131257i
$65$	6.57641	−	3.30045i	0.815704	−	0.409370i
$66$	−8.15681	−	5.92627i	−1.00403	−	0.729473i
$67$	1.86361	+	5.73559i	0.227676	+	0.700714i	0.998009	+	0.0630725i	$0.0200899\pi$
$67$	1.86361	+	5.73559i	0.227676	+	0.700714i	−0.770333	+	0.637642i	$0.779910\pi$
$68$	2.46731			0.299206
$69$	−0.180557	−	0.555698i	−0.0217365	−	0.0668982i
$70$	−2.26244	−	14.8714i	−0.270414	−	1.77747i
$71$	−2.50346	+	7.70487i	−0.297106	+	0.914400i	0.685399	+	0.728167i	$0.259628\pi$
$71$	−2.50346	+	7.70487i	−0.297106	+	0.914400i	−0.982506	+	0.186232i	$0.940372\pi$
$72$	0.573870	−	1.76619i	0.0676312	−	0.208147i
$73$	−10.7734	+	7.82730i	−1.26093	+	0.916116i	−0.998803	−	0.0489187i	$-0.984422\pi$
$73$	−10.7734	+	7.82730i	−1.26093	+	0.916116i	−0.262123	+	0.965035i	$0.584422\pi$
$74$	0.0355801			0.00413611
$75$	−4.77379	+	1.48692i	−0.551230	+	0.171695i
$76$	−2.14984			−0.246604
$77$	−18.8457	+	13.6922i	−2.14767	+	1.56037i
$78$	−1.73515	+	5.34023i	−0.196467	+	0.604662i
$79$	5.14971	−	15.8492i	0.579388	−	1.78317i	−0.0413379	−	0.999145i	$-0.513162\pi$
$79$	5.14971	−	15.8492i	0.579388	−	1.78317i	0.620726	−	0.784028i	$-0.286838\pi$
$80$	−9.97696	+	5.00705i	−1.11546	+	0.559805i
$81$	0.309017	+	0.951057i	0.0343352	+	0.105673i
$82$	−2.51200			−0.277404
$83$	0.241540	+	0.743385i	0.0265125	+	0.0815971i	0.963437	−	0.267934i	$-0.0863409\pi$
$83$	0.241540	+	0.743385i	0.0265125	+	0.0815971i	−0.936925	+	0.349531i	$0.886341\pi$
$84$	2.90777	+	2.11262i	0.317264	+	0.230506i
$85$	−5.97122	−	0.983144i	−0.647669	−	0.106637i
$86$	1.75705	−	1.27657i	0.189468	−	0.137656i
$87$	3.16461	+	2.29922i	0.339282	+	0.246503i
$88$	8.87728	+	6.44972i	0.946322	+	0.687543i
$89$	2.80994	−	2.04154i	0.297853	−	0.216403i	−0.428814	−	0.903393i	$-0.641068\pi$
$89$	2.80994	−	2.04154i	0.297853	−	0.216403i	0.726667	+	0.686990i	$0.241068\pi$
$90$	1.75294	−	3.38904i	0.184776	−	0.357236i
$91$	10.4955	+	7.62545i	1.10023	+	0.799364i
$92$	−0.164609	−	0.506614i	−0.0171617	−	0.0528182i
$93$	2.70934			0.280946
$94$	−2.86510	−	8.81786i	−0.295512	−	0.909493i
$95$	5.20290	+	0.856643i	0.533806	+	0.0878897i
$96$	1.48462	−	4.56919i	0.151523	−	0.466341i
$97$	−0.758460	+	2.33430i	−0.0770099	+	0.237012i	−0.982149	−	0.188103i	$-0.939766\pi$
$97$	−0.758460	+	2.33430i	−0.0770099	+	0.237012i	0.905139	+	0.425115i	$0.139766\pi$
$98$	11.7931	−	8.56817i	1.19128	−	0.865515i
$99$	−5.90869			−0.593846
$100$	−4.35213	+	1.35559i	−0.435213	+	0.135559i
$101$	−6.87495			−0.684083			−0.342042	−	0.939685i	$-0.611118\pi$
$101$	−6.87495			−0.684083			−0.342042	+	0.939685i	$0.611118\pi$
$102$	3.73607	−	2.71441i	0.369926	−	0.268767i
$103$	3.63192	−	11.1779i	0.357864	−	1.10139i	−0.596466	−	0.802638i	$-0.703429\pi$
$103$	3.63192	−	11.1779i	0.357864	−	1.10139i	0.954330	−	0.298754i	$-0.0965710\pi$
$104$	1.88841	−	5.81193i	0.185174	−	0.569906i
$105$	−6.19537	−	6.27146i	−0.604606	−	0.612032i
$106$	−1.48462	−	4.56919i	−0.144199	−	0.443799i
$107$	5.66780			0.547927			0.273964	−	0.961740i	$-0.411665\pi$
$107$	5.66780			0.547927			0.273964	+	0.961740i	$0.411665\pi$
$108$	0.281722	+	0.867051i	0.0271087	+	0.0834321i
$109$	1.10130	+	0.800139i	0.105485	+	0.0766394i	0.639277	−	0.768976i	$-0.279234\pi$
$109$	1.10130	+	0.800139i	0.105485	+	0.0766394i	−0.533792	+	0.845616i	$0.679234\pi$
$110$	15.8440	+	16.0386i	1.51067	+	1.52922i
$111$	0.0168692	−	0.0122562i	0.00160115	−	0.00116330i
$112$	−15.9226	−	11.5684i	−1.50454	−	1.09311i
$113$	8.64489	+	6.28088i	0.813243	+	0.590856i	0.914769	−	0.403977i	$-0.132373\pi$
$113$	8.64489	+	6.28088i	0.813243	+	0.590856i	−0.101526	+	0.994833i	$0.532373\pi$
$114$	−3.25535	+	2.36515i	−0.304891	+	0.221516i
$115$	0.196506	+	1.29166i	0.0183242	+	0.120448i
$116$	2.88508	+	2.09614i	0.267873	+	0.194621i
$117$	1.01687	+	3.12960i	0.0940096	+	0.289332i
$118$	8.00341			0.736773
$119$	−3.29710	−	10.1474i	−0.302245	−	0.930214i
$120$	−1.90777	+	3.68838i	−0.174155	+	0.336702i
$121$	7.38941	−	22.7423i	0.671765	−	2.06748i
$122$	−2.94300	+	9.05762i	−0.266447	+	0.820038i
$123$	−1.19098	+	0.865300i	−0.107387	+	0.0780215i
$124$	2.47003			0.221815
$125$	11.0729	−	1.54651i	0.990387	−	0.138324i
$126$	6.72721			0.599308
$127$	10.9563	−	7.96023i	0.972216	−	0.706356i	0.0162606	−	0.999868i	$-0.494824\pi$
$127$	10.9563	−	7.96023i	0.972216	−	0.706356i	0.955956	+	0.293511i	$0.0948239\pi$
$128$	−3.91123	+	12.0375i	−0.345708	+	1.06398i
$129$	0.393313	−	1.21049i	0.0346292	−	0.106578i
$130$	5.76832	−	11.1522i	0.505915	−	0.978109i
$131$	1.41912	+	4.36759i	0.123989	+	0.381599i	0.993716	−	0.111935i	$-0.0357049\pi$
$131$	1.41912	+	4.36759i	0.123989	+	0.381599i	−0.869727	+	0.493534i	$0.835705\pi$
$132$	−5.38679			−0.468860
$133$	2.87286	+	8.84176i	0.249109	+	0.766678i
$134$	8.32532	+	6.04870i	0.719198	+	0.522528i
$135$	−0.336312	−	2.21063i	−0.0289451	−	0.190261i
$136$	−4.06607	+	2.95417i	−0.348662	+	0.253318i
$137$	−12.3472	−	8.97078i	−1.05489	−	0.766426i	−0.0817573	−	0.996652i	$-0.526053\pi$
$137$	−12.3472	−	8.97078i	−1.05489	−	0.766426i	−0.973137	+	0.230227i	$0.926053\pi$
$138$	−0.806606	−	0.586034i	−0.0686629	−	0.0498865i
$139$	−14.7550	+	10.7201i	−1.25150	+	0.909269i	−0.998308	−	0.0581460i	$-0.981481\pi$
$139$	−14.7550	+	10.7201i	−1.25150	+	0.909269i	−0.253194	+	0.967416i	$0.581481\pi$
$140$	−5.64814	−	5.71751i	−0.477355	−	0.483218i
$141$	−4.39586	−	3.19378i	−0.370198	−	0.268964i
$142$	4.27182	+	13.1473i	0.358483	+	1.10330i
$143$	−19.4435			−1.62595
$144$	−1.54267	−	4.74786i	−0.128556	−	0.395655i
$145$	−6.14703	−	6.22253i	−0.510483	−	0.516753i
$146$	−7.02177	+	21.6108i	−0.581126	+	1.78852i
$147$	2.63986	−	8.12464i	0.217732	−	0.670109i
$148$	0.0153792	−	0.0111736i	0.00126416	−	0.000918465i
$149$	14.7323			1.20692			0.603458	−	0.797394i	$-0.293789\pi$
$149$	14.7323			1.20692			0.603458	+	0.797394i	$0.293789\pi$
$150$	−5.09875	+	6.84065i	−0.416312	+	0.558537i
$151$	−17.4354			−1.41887			−0.709437	−	0.704769i	$-0.751051\pi$
$151$	−17.4354			−1.41887			−0.709437	+	0.704769i	$0.751051\pi$
$152$	3.54289	−	2.57406i	0.287366	−	0.208784i
$153$	0.836312	−	2.57390i	0.0676118	−	0.208088i
$154$	−12.2831	+	37.8036i	−0.989803	+	3.04630i
$155$	−5.97779	−	0.984226i	−0.480148	−	0.0790549i
$156$	0.927051	+	2.85317i	0.0742235	+	0.228436i
$157$	17.9105			1.42942			0.714708	−	0.699423i	$-0.246560\pi$
$157$	17.9105			1.42942			0.714708	+	0.699423i	$0.246560\pi$
$158$	−8.78728	−	27.0445i	−0.699078	−	2.15154i
$159$	−2.27782	−	1.65493i	−0.180643	−	0.131245i
$160$	−4.93547	+	9.54197i	−0.390183	+	0.754359i
$161$	−1.86361	+	1.35399i	−0.146873	+	0.106709i
$162$	1.38048	+	1.00297i	0.108460	+	0.0788011i
$163$	−17.6041	−	12.7901i	−1.37886	−	1.00180i	−0.996986	−	0.0775819i	$-0.975280\pi$
$163$	−17.6041	−	12.7901i	−1.37886	−	1.00180i	−0.381870	−	0.924216i	$-0.624720\pi$
$164$	−1.08579	+	0.788869i	−0.0847856	+	0.0616004i
$165$	13.0367	+	2.14646i	1.01491	+	0.167102i
$166$	1.07904	+	0.783966i	0.0837495	+	0.0608475i
$167$	−6.98470	−	21.4967i	−0.540492	−	1.66346i	−0.731473	−	0.681871i	$-0.761167\pi$
$167$	−6.98470	−	21.4967i	−0.540492	−	1.66346i	0.190980	−	0.981594i	$-0.438833\pi$
$168$	−7.32142			−0.564860
$169$	−0.671052	−	2.06529i	−0.0516194	−	0.158868i
$170$	−9.22919	+	4.63177i	−0.707846	+	0.355241i
$171$	−0.728704	+	2.24272i	−0.0557254	+	0.171505i
$172$	0.358572	−	1.10357i	0.0273409	−	0.0841465i
$173$	−10.4458	+	7.58929i	−0.794177	+	0.577003i	−0.909200	−	0.416360i	$-0.863306\pi$
$173$	−10.4458	+	7.58929i	−0.794177	+	0.577003i	0.115023	+	0.993363i	$0.463306\pi$
$174$	6.67473			0.506010
$175$	11.3910	+	16.0877i	0.861077	+	1.21612i
$176$	29.4974			2.22345
$177$	3.79456	−	2.75691i	0.285216	−	0.207222i
$178$	1.83144	−	5.63659i	0.137272	−	0.422480i
$179$	−1.98716	+	6.11586i	−0.148528	+	0.457121i	−0.997448	−	0.0714002i	$-0.977253\pi$
$179$	−1.98716	+	6.11586i	−0.148528	+	0.457121i	0.848920	+	0.528521i	$0.177253\pi$
$180$	−0.306606	−	2.01537i	−0.0228531	−	0.150217i
$181$	4.54473	+	13.9873i	0.337807	+	1.03966i	0.965323	+	0.261060i	$0.0840720\pi$
$181$	4.54473	+	13.9873i	0.337807	+	1.03966i	−0.627515	+	0.778604i	$0.715928\pi$
$182$	22.1370			1.64090
$183$	1.72472	+	5.30815i	0.127495	+	0.392389i
$184$	0.877852	+	0.637797i	0.0647161	+	0.0470190i
$185$	−0.0416718	+	0.0209135i	−0.00306377	+	0.00153759i
$186$	3.74018	−	2.71740i	0.274243	−	0.199250i
$187$	12.9370	+	9.39931i	0.946050	+	0.687346i
$188$	−4.00758	−	2.91168i	−0.292283	−	0.212356i
$189$	3.18949	−	2.31730i	0.232001	−	0.168559i
$190$	8.04167	−	4.03580i	0.583404	−	0.292788i
$191$	−5.43095	−	3.94582i	−0.392970	−	0.285509i	0.373702	−	0.927549i	$-0.378088\pi$
$191$	−5.43095	−	3.94582i	−0.392970	−	0.285509i	−0.766671	+	0.642040i	$0.778088\pi$
$192$	0.552047	+	1.69903i	0.0398406	+	0.122617i
$193$	4.82817			0.347539			0.173769	−	0.984786i	$-0.444405\pi$
$193$	4.82817			0.347539			0.173769	+	0.984786i	$0.444405\pi$
$194$	1.29421	+	3.98316i	0.0929186	+	0.285974i
$195$	−1.10669	−	7.27443i	−0.0792515	−	0.520933i
$196$	2.40668	−	7.40701i	0.171906	−	0.529072i
$197$	−4.44492	+	13.6801i	−0.316688	+	0.974664i	0.658367	+	0.752697i	$0.271248\pi$
$197$	−4.44492	+	13.6801i	−0.316688	+	0.974664i	−0.975054	+	0.221967i	$0.928752\pi$
$198$	−8.15681	+	5.92627i	−0.579679	+	0.421161i
$199$	−8.72608			−0.618575			−0.309288	−	0.950969i	$-0.600091\pi$
$199$	−8.72608			−0.618575			−0.309288	+	0.950969i	$0.600091\pi$
$200$	5.54912	−	7.44487i	0.392382	−	0.526432i
$201$	6.03076			0.425377
$202$	−9.49071	+	6.89540i	−0.667764	+	0.485159i
$203$	4.76550	−	14.6667i	0.334473	−	1.02940i
$204$	0.762442	−	2.34656i	0.0533816	−	0.164292i
$205$	2.94208	−	1.47651i	0.205484	−	0.103124i
$206$	−6.19738	−	19.0736i	−0.431792	−	1.32892i
$207$	−0.584296			−0.0406114
$208$	−5.07641	−	15.6236i	−0.351986	−	1.08330i
$209$	−11.2724	−	8.18990i	−0.779730	−	0.566507i
$210$	−14.8427	−	2.44380i	−1.02424	−	0.168638i
$211$	−2.40777	+	1.74935i	−0.165758	+	0.120430i	−0.667572	−	0.744546i	$-0.732666\pi$
$211$	−2.40777	+	1.74935i	−0.165758	+	0.120430i	0.501814	+	0.864976i	$0.332666\pi$
$212$	−2.07663	−	1.50876i	−0.142623	−	0.103622i
$213$	6.55415	+	4.76187i	0.449083	+	0.326278i
$214$	7.82426	−	5.68466i	0.534856	−	0.388595i
$215$	−1.30753	+	2.52790i	−0.0891726	+	0.172402i
$216$	−1.50241	−	1.09157i	−0.102226	−	0.0742716i
$217$	−3.30073	−	10.1586i	−0.224068	−	0.689611i
$218$	2.32283			0.157322
$219$	4.11505	+	12.6648i	0.278070	+	0.855810i
$220$	11.8852	+	1.95687i	0.801300	+	0.131932i
$221$	2.75202	−	8.46984i	0.185121	−	0.569743i
$222$	0.0109949	−	0.0338387i	0.000737927	−	0.00227111i
$223$	0.246494	−	0.179088i	0.0165064	−	0.0119926i	−0.579501	−	0.814971i	$-0.696753\pi$
$223$	0.246494	−	0.179088i	0.0165064	−	0.0119926i	0.596008	+	0.802979i	$0.296753\pi$
$224$	−18.9408			−1.26553
$225$	−0.0610333	+	4.99963i	−0.00406888	+	0.333308i
$226$	18.2336			1.21288
$227$	7.74408	−	5.62641i	0.513993	−	0.373438i	−0.300343	−	0.953831i	$-0.597101\pi$
$227$	7.74408	−	5.62641i	0.513993	−	0.373438i	0.814336	+	0.580394i	$0.197101\pi$
$228$	−0.664339	+	2.04462i	−0.0439969	+	0.135409i
$229$	3.74812	−	11.5355i	0.247682	−	0.762288i	−0.747501	−	0.664260i	$-0.768747\pi$
$229$	3.74812	−	11.5355i	0.247682	−	0.762288i	0.995184	−	0.0980277i	$-0.0312534\pi$
$230$	1.56678	+	1.58602i	0.103310	+	0.104579i
$231$	7.19843	+	22.1545i	0.473622	+	1.45766i
$232$	−7.26430			−0.476924
$233$	6.21132	+	19.1165i	0.406917	+	1.25236i	0.919284	+	0.393595i	$0.128769\pi$
$233$	6.21132	+	19.1165i	0.406917	+	1.25236i	−0.512367	+	0.858766i	$0.671231\pi$
$234$	4.54267	+	3.30045i	0.296964	+	0.215757i
$235$	8.53864	+	8.64351i	0.557000	+	0.563841i
$236$	3.45939	−	2.51340i	0.225187	−	0.163608i
$237$	−13.4821	−	9.79534i	−0.875758	−	0.636275i
$238$	−14.7292	−	10.7014i	−0.954751	−	0.693667i
$239$	−14.2902	+	10.3825i	−0.924358	+	0.671585i	−0.944605	−	0.328210i	$-0.893555\pi$
$239$	−14.2902	+	10.3825i	−0.924358	+	0.671585i	0.0202473	+	0.999795i	$0.493555\pi$
$240$	1.67894	+	11.0359i	0.108375	+	0.712365i
$241$	−23.8973	−	17.3624i	−1.53936	−	1.11841i	−0.950733	−	0.310010i	$-0.899668\pi$
$241$	−23.8973	−	17.3624i	−1.53936	−	1.11841i	−0.588630	−	0.808403i	$-0.700332\pi$
$242$	−12.6090	−	38.8066i	−0.810538	−	2.49458i
$243$	1.00000			0.0641500
$244$	1.57238	+	4.83929i	0.100661	+	0.309804i
$245$	−8.77593	+	16.9669i	−0.560674	+	1.08398i
$246$	−0.776250	+	2.38905i	−0.0494919	+	0.152320i
$247$	−2.39791	+	7.38002i	−0.152576	+	0.469580i
$248$	−4.07055	+	2.95742i	−0.258480	+	0.187797i
$249$	0.781641			0.0495345
$250$	13.7347	−	13.2407i	0.868659	−	0.837417i
$251$	1.89396			0.119546			0.0597729	−	0.998212i	$-0.480962\pi$
$251$	1.89396			0.119546			0.0597729	+	0.998212i	$0.480962\pi$
$252$	2.90777	−	2.11262i	0.183172	−	0.133083i
$253$	1.06686	−	3.28345i	0.0670727	−	0.206429i
$254$	7.14103	−	21.9778i	0.448068	−	1.37901i
$255$	−2.78023	+	5.37515i	−0.174105	+	0.336605i
$256$	5.56989	+	17.1424i	0.348118	+	1.07140i
$257$	22.1211			1.37988			0.689938	−	0.723869i	$-0.257638\pi$
$257$	22.1211			1.37988			0.689938	+	0.723869i	$0.257638\pi$
$258$	−0.671134	−	2.06554i	−0.0417830	−	0.128595i
$259$	−0.0665056	−	0.0483191i	−0.00413245	−	0.00300240i
$260$	−1.00894	−	6.63190i	−0.0625715	−	0.411293i
$261$	3.16461	−	2.29922i	0.195884	−	0.142318i
$262$	6.33964	+	4.60602i	0.391664	+	0.284561i
$263$	15.9500	+	11.5884i	0.983520	+	0.714569i	0.958492	−	0.285118i	$-0.0920328\pi$
$263$	15.9500	+	11.5884i	0.983520	+	0.714569i	0.0250272	+	0.999687i	$0.492033\pi$
$264$	8.87728	−	6.44972i	0.546359	−	0.396953i
$265$	4.42451	+	4.47885i	0.271795	+	0.275134i
$266$	12.8340	+	9.32443i	0.786902	+	0.571718i
$267$	−1.07330	−	3.30328i	−0.0656849	−	0.202157i
$268$	5.49807			0.335848
$269$	5.61321	+	17.2757i	0.342244	+	1.05332i	0.963043	+	0.269348i	$0.0868082\pi$
$269$	5.61321	+	17.2757i	0.342244	+	1.05332i	−0.620799	+	0.783970i	$0.713192\pi$
$270$	−2.68148	−	2.71441i	−0.163190	−	0.165194i
$271$	6.97436	−	21.4649i	0.423662	−	1.30390i	−0.480608	−	0.876936i	$-0.659584\pi$
$271$	6.97436	−	21.4649i	0.423662	−	1.30390i	0.904270	−	0.426962i	$-0.140416\pi$
$272$	−4.17503	+	12.8494i	−0.253149	+	0.779111i
$273$	10.4955	−	7.62545i	0.635218	−	0.461513i
$274$	−26.0425			−1.57329
$275$	−27.9840	−	9.47173i	−1.68750	−	0.571167i
$276$	−0.532686			−0.0320639
$277$	−6.67837	+	4.85212i	−0.401264	+	0.291535i	−0.770056	−	0.637977i	$-0.779772\pi$
$277$	−6.67837	+	4.85212i	−0.401264	+	0.291535i	0.368792	+	0.929512i	$0.379772\pi$
$278$	−9.61690	+	29.5978i	−0.576783	+	1.77516i
$279$	0.837233	−	2.57674i	0.0501238	−	0.154265i
$280$	16.1537	+	2.65966i	0.965368	+	0.158945i
$281$	0.395941	+	1.21858i	0.0236199	+	0.0726944i	0.962172	−	0.272444i	$-0.0878320\pi$
$281$	0.395941	+	1.21858i	0.0236199	+	0.0726944i	−0.938552	+	0.345138i	$0.887832\pi$
$282$	−9.27165			−0.552119
$283$	0.825484	+	2.54058i	0.0490699	+	0.151022i	0.972589	−	0.232531i	$-0.0747006\pi$
$283$	0.825484	+	2.54058i	0.0490699	+	0.151022i	−0.923519	+	0.383552i	$0.874701\pi$
$284$	5.97524	+	4.34126i	0.354565	+	0.257607i
$285$	2.42250	−	4.68353i	0.143496	−	0.277429i
$286$	−26.8413	+	19.5013i	−1.58716	+	1.15314i
$287$	4.69537	+	3.41138i	0.277159	+	0.201368i
$288$	−3.88679	−	2.82392i	−0.229031	−	0.166401i
$289$	7.82773	−	5.68718i	0.460455	−	0.334540i
$290$	−14.7269	−	2.42474i	−0.864792	−	0.142385i
$291$	1.98567	+	1.44268i	0.116402	+	0.0845712i
$292$	3.75158	+	11.5462i	0.219545	+	0.675689i
$293$	17.6605			1.03174			0.515870	−	0.856667i	$-0.327469\pi$
$293$	17.6605			1.03174			0.515870	+	0.856667i	$0.327469\pi$
$294$	−4.50455	−	13.8636i	−0.262711	−	0.808541i
$295$	−9.37368	+	4.70428i	−0.545757	+	0.273894i
$296$	−0.0119660	+	0.0368276i	−0.000695511	+	0.00214056i
$297$	−1.82589	+	5.61950i	−0.105949	+	0.326076i
$298$	20.3376	−	14.7761i	1.17812	−	0.855958i
$299$	−1.92272			−0.111194
$300$	−0.0556423	+	4.55802i	−0.00321251	+	0.263157i
$301$	−5.01787			−0.289225
$302$	−24.0692	+	17.4873i	−1.38503	+	1.00628i
$303$	−2.12448	+	6.53847i	−0.122048	+	0.375625i
$304$	3.63783	−	11.1961i	0.208644	−	0.642140i
$305$	−1.87706	−	12.3382i	−0.107480	−	0.706485i
$306$	−1.42705	−	4.39201i	−0.0815791	−	0.251075i
$307$	−28.5593			−1.62997			−0.814983	−	0.579484i	$-0.803254\pi$
$307$	−28.5593			−1.62997			−0.814983	+	0.579484i	$0.803254\pi$
$308$	6.56260	+	20.1976i	0.373939	+	1.15087i
$309$	−9.50850	−	6.90833i	−0.540920	−	0.393001i
$310$	−9.23935	+	4.63687i	−0.524760	+	0.263357i
$311$	23.7271	−	17.2388i	1.34544	−	0.977521i	0.346217	−	0.938154i	$-0.387466\pi$
$311$	23.7271	−	17.2388i	1.34544	−	0.977521i	0.999225	−	0.0393664i	$-0.0125340\pi$
$312$	−4.94392	−	3.59197i	−0.279894	−	0.203355i
$313$	14.1523	+	10.2823i	0.799937	+	0.581189i	0.910896	−	0.412637i	$-0.135392\pi$
$313$	14.1523	+	10.2823i	0.799937	+	0.581189i	−0.110958	+	0.993825i	$0.535392\pi$
$314$	24.7251	−	17.9638i	1.39532	−	1.01376i
$315$	−7.87899	+	3.95416i	−0.443931	+	0.222792i
$316$	−12.2913	−	8.93013i	−0.691438	−	0.502359i
$317$	1.21061	+	3.72589i	0.0679949	+	0.209267i	0.979281	−	0.202508i	$-0.0649091\pi$
$317$	1.21061	+	3.72589i	0.0679949	+	0.209267i	−0.911286	+	0.411775i	$0.864909\pi$
$318$	−4.80433			−0.269414
$319$	7.14227	+	21.9816i	0.399890	+	1.23074i
$320$	−0.600809	−	3.94921i	−0.0335862	−	0.220768i
$321$	1.75145	−	5.39040i	0.0977562	−	0.300863i
$322$	−1.21465	+	3.73830i	−0.0676897	+	0.208327i
$323$	5.16312	−	3.75123i	0.287284	−	0.208724i
$324$	0.911672			0.0506484
$325$	−0.200840	+	16.4521i	−0.0111406	+	0.912596i
$326$	−37.1301			−2.05645
$327$	1.10130	−	0.800139i	0.0609018	−	0.0442478i
$328$	0.844815	−	2.60007i	0.0466471	−	0.143565i
$329$	−6.61961	+	20.3731i	−0.364951	+	1.12320i
$330$	20.1497	−	10.1124i	1.10921	−	0.556667i
$331$	−5.42429	−	16.6942i	−0.298146	−	0.917599i	−0.982147	−	0.188117i	$-0.939762\pi$
$331$	−5.42429	−	16.6942i	−0.298146	−	0.917599i	0.684001	−	0.729481i	$-0.260238\pi$
$332$	0.712600			0.0391090
$333$	−0.00644345	−	0.0198309i	−0.000353099	−	0.00108673i
$334$	−31.2029	−	22.6702i	−1.70734	−	1.24046i
$335$	−13.3060	−	2.19080i	−0.726986	−	0.119696i
$336$	−15.9226	+	11.5684i	−0.868648	+	0.631110i
$337$	11.3647	+	8.25697i	0.619077	+	0.449786i	0.852599	−	0.522566i	$-0.175025\pi$
$337$	11.3647	+	8.25697i	0.619077	+	0.449786i	−0.233522	+	0.972352i	$0.575025\pi$
$338$	−2.99780	−	2.17803i	−0.163059	−	0.118469i
$339$	8.64489	−	6.28088i	0.469526	−	0.341131i
$340$	−2.53466	+	4.90038i	−0.137461	+	0.265760i
$341$	12.9513	+	9.40966i	0.701351	+	0.509562i
$342$	1.24343	+	3.82689i	0.0672371	+	0.206935i
$343$	−6.08221			−0.328408
$344$	0.730414	+	2.24798i	0.0393813	+	0.121203i
$345$	1.28917	+	0.212258i	0.0694065	+	0.0114276i
$346$	−6.80826	+	20.9537i	−0.366014	+	1.12648i
$347$	−0.318440	+	0.980059i	−0.0170948	+	0.0526123i	−0.959240	−	0.282593i	$-0.908806\pi$
$347$	−0.318440	+	0.980059i	−0.0170948	+	0.0526123i	0.942145	+	0.335205i	$0.108806\pi$
$348$	2.88508	−	2.09614i	0.154657	−	0.112365i
$349$	21.5626			1.15422			0.577109	−	0.816667i	$-0.304181\pi$
$349$	21.5626			1.15422			0.577109	+	0.816667i	$0.304181\pi$
$350$	31.8605	+	10.7838i	1.70302	+	0.576420i
$351$	3.29066			0.175642
$352$	22.9658	−	16.6857i	1.22408	−	0.889348i
$353$	2.21140	−	6.80599i	0.117701	−	0.362246i	−0.874800	−	0.484485i	$-0.839007\pi$
$353$	2.21140	−	6.80599i	0.117701	−	0.362246i	0.992501	+	0.122238i	$0.0390072\pi$
$354$	2.47319	−	7.61169i	0.131448	−	0.404557i
$355$	−12.7310	−	12.8873i	−0.675690	−	0.683989i
$356$	−0.978498	−	3.01151i	−0.0518603	−	0.159610i
$357$	−10.6696			−0.564697
$358$	3.39082	+	10.4359i	0.179210	+	0.551553i
$359$	−21.9663	−	15.9595i	−1.15934	−	0.842308i	−0.169643	−	0.985506i	$-0.554262\pi$
$359$	−21.9663	−	15.9595i	−1.15934	−	0.842308i	−0.989694	+	0.143198i	$0.954262\pi$
$360$	2.91833	+	2.95417i	0.153809	+	0.155699i
$361$	10.8725	−	7.89936i	0.572239	−	0.415756i
$362$	20.3028	+	14.7508i	1.06709	+	0.775285i
$363$	−19.3457	−	14.0555i	−1.01539	−	0.737722i
$364$	9.56848	−	6.95191i	0.501525	−	0.364379i
$365$	−4.47853	−	29.4381i	−0.234417	−	1.54086i
$366$	7.70487	+	5.59792i	0.402740	+	0.292608i
$367$	6.62605	+	20.3929i	0.345877	+	1.06450i	0.961113	+	0.276157i	$0.0890608\pi$
$367$	6.62605	+	20.3929i	0.345877	+	1.06450i	−0.615236	+	0.788343i	$0.710939\pi$
$368$	2.91692			0.152055
$369$	0.454915	+	1.40008i	0.0236819	+	0.0728855i
$370$	−0.0365513	+	0.0706663i	−0.00190021	+	0.00367377i
$371$	−3.43011	+	10.5568i	−0.178083	+	0.548082i
$372$	0.763282	−	2.34914i	0.0395743	−	0.121797i
$373$	−5.17021	+	3.75638i	−0.267703	+	0.194498i	−0.713536	−	0.700618i	$-0.752908\pi$
$373$	−5.17021	+	3.75638i	−0.267703	+	0.194498i	0.445833	+	0.895116i	$0.352908\pi$
$374$	27.2865			1.41095
$375$	1.95088	−	11.0088i	0.100743	−	0.568493i
$376$	10.0906			0.520383
$377$	10.4136	−	7.56596i	0.536330	−	0.389667i
$378$	2.07882	−	6.39796i	0.106923	−	0.329076i
$379$	−0.0477946	+	0.147097i	−0.00245504	+	0.00755585i	−0.952277	−	0.305237i	$-0.901264\pi$
$379$	−0.0477946	+	0.147097i	−0.00245504	+	0.00755585i	0.949821	+	0.312792i	$0.101264\pi$
$380$	2.20852	−	4.26985i	0.113295	−	0.219038i
$381$	−4.18494	−	12.8799i	−0.214401	−	0.659859i
$382$	−11.4549			−0.586081
$383$	−1.31489	−	4.04682i	−0.0671878	−	0.206783i	0.911826	−	0.410577i	$-0.134673\pi$
$383$	−1.31489	−	4.04682i	−0.0671878	−	0.206783i	−0.979014	+	0.203794i	$0.934673\pi$
$384$	10.2397	+	7.43961i	0.522545	+	0.379651i
$385$	−7.83425	−	51.4958i	−0.399270	−	2.62447i
$386$	6.66517	−	4.84253i	0.339248	−	0.246478i
$387$	−1.02971	−	0.748125i	−0.0523429	−	0.0380293i
$388$	1.81028	+	1.31525i	0.0919032	+	0.0667716i
$389$	16.4782	−	11.9721i	0.835479	−	0.607011i	−0.0856250	−	0.996327i	$-0.527289\pi$
$389$	16.4782	−	11.9721i	0.835479	−	0.607011i	0.921104	+	0.389316i	$0.127289\pi$
$390$	−8.82383	−	8.93220i	−0.446812	−	0.452300i
$391$	1.27931	+	0.929474i	0.0646975	+	0.0470055i
$392$	4.90243	+	15.0881i	0.247610	+	0.762066i
$393$	4.59236			0.231654
$394$	7.58465	+	23.3431i	0.382109	+	1.17601i
$395$	26.1881	+	26.5097i	1.31767	+	1.33385i
$396$	−1.66461	+	5.12314i	−0.0836497	+	0.257447i
$397$	−0.604795	+	1.86137i	−0.0303538	+	0.0934194i	−0.965086	−	0.261934i	$-0.915640\pi$
$397$	−0.604795	+	1.86137i	−0.0303538	+	0.0934194i	0.934732	+	0.355354i	$0.115640\pi$
$398$	−12.0461	+	8.75203i	−0.603818	+	0.438700i
$399$	9.29678			0.465421
$400$	0.304690	−	24.9591i	0.0152345	−	1.24796i
$401$	−32.8337			−1.63964			−0.819818	−	0.572624i	$-0.805925\pi$
$401$	−32.8337			−1.63964			−0.819818	+	0.572624i	$0.805925\pi$
$402$	8.32532	−	6.04870i	0.415229	−	0.301682i
$403$	2.75505	−	8.47916i	0.137239	−	0.422377i
$404$	−1.93683	+	5.96094i	−0.0963607	+	0.296568i
$405$	−2.20636	−	0.363271i	−0.109635	−	0.0180511i
$406$	−8.13167	−	25.0267i	−0.403568	−	1.24206i
$407$	0.123205			0.00610704
$408$	1.55310	+	4.77995i	0.0768899	+	0.236643i
$409$	32.0180	+	23.2624i	1.58319	+	1.15025i	0.912923	+	0.408132i	$0.133820\pi$
$409$	32.0180	+	23.2624i	1.58319	+	1.15025i	0.670265	+	0.742122i	$0.266180\pi$
$410$	2.58056	−	4.98912i	0.127445	−	0.246395i
$411$	−12.3472	+	8.97078i	−0.609043	+	0.442496i
$412$	−8.66863	−	6.29813i	−0.427073	−	0.310287i
$413$	−14.9598	−	10.8689i	−0.736123	−	0.534825i
$414$	−0.806606	+	0.586034i	−0.0396425	+	0.0288020i
$415$	−1.72458	−	0.283948i	−0.0846564	−	0.0139384i
$416$	−12.7901	−	9.29254i	−0.627086	−	0.455604i
$417$	5.63591	+	17.3455i	0.275991	+	0.849414i
$418$	−23.7756			−1.16290
$419$	6.04421	+	18.6022i	0.295279	+	0.908776i	0.983128	+	0.182921i	$0.0585554\pi$
$419$	6.04421	+	18.6022i	0.295279	+	0.908776i	−0.687848	+	0.725854i	$0.741445\pi$
$420$	−7.18305	+	3.60489i	−0.350497	+	0.175901i
$421$	−12.4634	+	38.3584i	−0.607430	+	1.86948i	−0.128292	+	0.991736i	$0.540949\pi$
$421$	−12.4634	+	38.3584i	−0.607430	+	1.86948i	−0.479138	+	0.877740i	$0.659051\pi$
$422$	−1.56932	+	4.82987i	−0.0763932	+	0.235114i
$423$	−4.39586	+	3.19378i	−0.213734	+	0.155287i
$424$	5.22869			0.253928
$425$	8.08684	−	10.8496i	0.392269	−	0.526281i
$426$	13.8239			0.669769
$427$	17.8016	−	12.9336i	0.861478	−	0.625901i
$428$	1.59675	−	4.91428i	0.0771816	−	0.237540i
$429$	−6.00837	+	18.4919i	−0.290087	+	0.892795i
$430$	0.730414	+	4.80113i	0.0352237	+	0.231531i
$431$	4.24497	+	13.0647i	0.204473	+	0.629304i	0.999735	+	0.0230370i	$0.00733356\pi$
$431$	4.24497	+	13.0647i	0.204473	+	0.629304i	−0.795261	+	0.606267i	$0.792666\pi$
$432$	−4.99220			−0.240187
$433$	−3.83964	−	11.8172i	−0.184522	−	0.567899i	0.815418	−	0.578872i	$-0.196507\pi$
$433$	−3.83964	−	11.8172i	−0.184522	−	0.567899i	−0.999940	+	0.0109734i	$0.996507\pi$
$434$	−14.7454	−	10.7132i	−0.707802	−	0.514248i
$435$	−7.81752	+	3.92331i	−0.374821	+	0.188108i
$436$	1.00402	−	0.729464i	0.0480839	−	0.0349350i
$437$	−1.11470	−	0.809879i	−0.0533234	−	0.0387417i
$438$	18.3832	+	13.3562i	0.878385	+	0.638184i
$439$	−8.87118	+	6.44529i	−0.423399	+	0.307617i	−0.779004	−	0.627019i	$-0.784275\pi$
$439$	−8.87118	+	6.44529i	−0.423399	+	0.307617i	0.355605	+	0.934636i	$0.384275\pi$
$440$	−21.9295	+	11.0056i	−1.04545	+	0.524670i
$441$	−6.91123	−	5.02131i	−0.329106	−	0.239110i
$442$	−4.69594	−	14.4526i	−0.223363	−	0.687440i
$443$	8.13187			0.386357			0.193178	−	0.981164i	$-0.438120\pi$
$443$	8.13187			0.386357			0.193178	+	0.981164i	$0.438120\pi$
$444$	−0.00587431	−	0.0180793i	−0.000278783	−	0.000858005i
$445$	1.16810	+	7.67813i	0.0553734	+	0.363978i
$446$	0.160658	−	0.494454i	0.00760737	−	0.0234131i
$447$	4.55253	−	14.0112i	0.215327	−	0.662709i
$448$	5.69791	−	4.13977i	0.269201	−	0.195586i
$449$	−32.9503			−1.55502			−0.777511	−	0.628869i	$-0.783518\pi$
$449$	−32.9503			−1.55502			−0.777511	+	0.628869i	$0.783518\pi$
$450$	4.93024	+	6.96308i	0.232414	+	0.328243i
$451$	−8.69840			−0.409592
$452$	7.88130	−	5.72610i	0.370705	−	0.269333i
$453$	−5.38784	+	16.5821i	−0.253143	+	0.779093i
$454$	5.04738	−	15.5342i	0.236885	−	0.729058i
$455$	−25.9270	+	13.0118i	−1.21548	+	0.610002i
$456$	−1.35326	−	4.16491i	−0.0633723	−	0.195040i
$457$	−22.8800			−1.07028			−0.535142	−	0.844762i	$-0.679742\pi$
$457$	−22.8800			−1.07028			−0.535142	+	0.844762i	$0.679742\pi$
$458$	−6.39564	−	19.6838i	−0.298849	−	0.919762i
$459$	−2.18949	−	1.59076i	−0.102197	−	0.0742503i
$460$	1.17530	+	0.193509i	0.0547985	+	0.00902243i
$461$	−9.74259	+	7.07841i	−0.453758	+	0.329674i	−0.791078	−	0.611716i	$-0.790480\pi$
$461$	−9.74259	+	7.07841i	−0.453758	+	0.329674i	0.337320	+	0.941390i	$0.390480\pi$
$462$	32.1576	+	23.3639i	1.49611	+	1.08699i
$463$	22.0054	+	15.9878i	1.02268	+	0.743018i	0.966830	−	0.255421i	$-0.0822141\pi$
$463$	22.0054	+	15.9878i	1.02268	+	0.743018i	0.0558471	+	0.998439i	$0.482214\pi$
$464$	−15.7984	+	11.4782i	−0.733420	+	0.532861i
$465$	−2.78329	+	5.38107i	−0.129072	+	0.249541i
$466$	27.7479	+	20.1600i	1.28540	+	0.933895i
$467$	−1.21828	−	3.74947i	−0.0563752	−	0.173505i	0.918904	−	0.394481i	$-0.129076\pi$
$467$	−1.21828	−	3.74947i	−0.0563752	−	0.173505i	−0.975279	+	0.220976i	$0.929076\pi$
$468$	3.00000			0.138675
$469$	−7.34714	−	22.6122i	−0.339259	−	1.04413i
$470$	20.4566	+	3.36812i	0.943593	+	0.155360i
$471$	5.53466	−	17.0339i	0.255024	−	0.784882i
$472$	−2.69164	+	8.28402i	−0.123893	+	0.381303i
$473$	6.08421	−	4.42044i	0.279752	−	0.203252i
$474$	−28.4362			−1.30612
$475$	−7.04630	+	9.45355i	−0.323307	+	0.433758i
$476$	−9.72721			−0.445846
$477$	−2.27782	+	1.65493i	−0.104294	+	0.0757742i
$478$	−9.31397	+	28.6655i	−0.426011	+	1.31113i
$479$	6.16466	−	18.9729i	0.281670	−	0.866893i	−0.705706	−	0.708504i	$-0.749370\pi$
$479$	6.16466	−	18.9729i	0.281670	−	0.866893i	0.987377	−	0.158388i	$-0.0506298\pi$
$480$	7.54981	+	7.64254i	0.344600	+	0.348833i
$481$	−0.0212032	−	0.0652567i	−0.000966783	−	0.00297545i
$482$	−50.4038			−2.29583
$483$	0.711834	+	2.19080i	0.0323896	+	0.0996849i
$484$	−17.6370	−	12.8140i	−0.801680	−	0.582455i
$485$	−3.85703	−	3.90440i	−0.175139	−	0.177290i
$486$	1.38048	−	1.00297i	0.0626197	−	0.0454958i
$487$	8.90102	+	6.46697i	0.403344	+	0.293046i	0.770902	−	0.636954i	$-0.219806\pi$
$487$	8.90102	+	6.46697i	0.403344	+	0.293046i	−0.367558	+	0.930001i	$0.619806\pi$
$488$	−8.38543	−	6.09237i	−0.379591	−	0.275789i
$489$	−17.6041	+	12.7901i	−0.796083	+	0.578388i
$490$	4.90243	+	32.2245i	0.221469	+	1.45575i
$491$	26.9348	+	19.5693i	1.21555	+	0.883151i	0.995723	−	0.0923876i	$-0.0294499\pi$
$491$	26.9348	+	19.5693i	1.21555	+	0.883151i	0.219830	+	0.975538i	$0.429450\pi$
$492$	0.414733	+	1.27642i	0.0186976	+	0.0575453i
$493$	−10.5864			−0.476788
$494$	4.09171	+	12.5930i	0.184095	+	0.566585i
$495$	6.06997	−	11.7354i	0.272825	−	0.527465i
$496$	−4.17963	+	12.8636i	−0.187671	+	0.577592i
$497$	9.86973	−	30.3759i	0.442718	−	1.36255i
$498$	1.07904	−	0.783966i	0.0483528	−	0.0351303i
$499$	−41.1448			−1.84189			−0.920946	−	0.389690i	$-0.872582\pi$
$499$	−41.1448			−1.84189			−0.920946	+	0.389690i	$0.872582\pi$
$500$	1.77856	−	10.0364i	0.0795398	−	0.448843i
$501$	−22.6030			−1.00983
$502$	2.61457	−	1.89960i	0.116694	−	0.0847832i
$503$	9.91207	−	30.5062i	0.441958	−	1.36021i	−0.443829	−	0.896112i	$-0.646380\pi$
$503$	9.91207	−	30.5062i	0.441958	−	1.36021i	0.885786	−	0.464094i	$-0.153620\pi$
$504$	−2.26244	+	6.96308i	−0.100777	+	0.310160i
$505$	7.06260	−	13.6545i	0.314282	−	0.607616i
$506$	−1.82044	−	5.60275i	−0.0809286	−	0.249073i
$507$	−2.17157			−0.0964429
$508$	−3.81529	−	11.7423i	−0.169276	−	0.520979i
$509$	21.9206	+	15.9262i	0.971612	+	0.705918i	0.955818	−	0.293958i	$-0.0949725\pi$
$509$	21.9206	+	15.9262i	0.971612	+	0.705918i	0.0157938	+	0.999875i	$0.494972\pi$
$510$	1.55310	+	10.2088i	0.0687724	+	0.452052i
$511$	42.4732	−	30.8586i	1.87890	−	1.36510i
$512$	4.40295	+	3.19893i	0.194585	+	0.141374i
$513$	1.90777	+	1.38608i	0.0842301	+	0.0611968i
$514$	30.5376	−	22.1869i	1.34696	−	0.978622i
$515$	18.4696	+	18.6964i	0.813868	+	0.823864i
$516$	−0.938754	−	0.682045i	−0.0413263	−	0.0300253i
$517$	−9.92109	−	30.5340i	−0.436329	−	1.34288i
$518$	−0.140272			−0.00616321
$519$	3.98993	+	12.2797i	0.175138	+	0.539020i
$520$	9.60322	+	9.72117i	0.421129	+	0.426301i
$521$	8.02073	−	24.6853i	0.351395	−	1.08148i	−0.606676	−	0.794949i	$-0.707497\pi$
$521$	8.02073	−	24.6853i	0.351395	−	1.08148i	0.958071	−	0.286532i	$-0.0925026\pi$
$522$	2.06260	−	6.34804i	0.0902778	−	0.277846i
$523$	1.45123	−	1.05438i	0.0634577	−	0.0461047i	−0.555604	−	0.831447i	$-0.687513\pi$
$523$	1.45123	−	1.05438i	0.0634577	−	0.0461047i	0.619062	+	0.785342i	$0.287513\pi$
$524$	4.18673			0.182898
$525$	18.8203	−	5.86209i	0.821386	−	0.255843i
$526$	33.6414			1.46684
$527$	−5.93209	+	4.30991i	−0.258406	+	0.187743i
$528$	9.11519	−	28.0537i	0.396688	−	1.22088i
$529$	−7.00189	+	21.5496i	−0.304430	+	0.936939i
$530$	10.6001	+	1.74528i	0.460439	+	0.0758100i
$531$	−1.44939	−	4.46077i	−0.0628983	−	0.193581i
$532$	8.47561			0.367464
$533$	1.49697	+	4.60720i	0.0648410	+	0.199560i
$534$	−4.79477	−	3.48361i	−0.207490	−	0.150750i
$535$	−5.82250	+	11.2569i	−0.251729	+	0.486679i
$536$	−9.06068	+	6.58297i	−0.391362	+	0.284341i
$537$	5.20246	+	3.77981i	0.224503	+	0.163111i
$538$	25.0760	+	18.2188i	1.08110	+	0.785467i
$539$	40.8364	−	29.6693i	1.75895	−	1.27795i
$540$	−2.01148	−	0.331184i	−0.0865602	−	0.0142519i
$541$	6.01538	+	4.37043i	0.258621	+	0.187899i	0.709539	−	0.704666i	$-0.248903\pi$
$541$	6.01538	+	4.37043i	0.258621	+	0.187899i	−0.450918	+	0.892566i	$0.648903\pi$
$542$	−11.9008	−	36.6268i	−0.511182	−	1.57326i
$543$	14.7071			0.631141
$544$	4.01792	+	12.3659i	0.172267	+	0.530183i
$545$	−2.72053	+	1.36533i	−0.116535	+	0.0584842i
$546$	6.84070	−	21.0535i	0.292755	−	0.901007i
$547$	6.02174	−	18.5330i	0.257471	−	0.792414i	−0.735862	−	0.677132i	$-0.763223\pi$
$547$	6.02174	−	18.5330i	0.257471	−	0.792414i	0.993333	−	0.115283i	$-0.0367774\pi$
$548$	−11.2566	+	8.17841i	−0.480859	+	0.349364i
$549$	5.58132			0.238205
$550$	−48.1311	+	14.9917i	−2.05232	+	0.639249i
$551$	9.22425			0.392966
$552$	0.877852	−	0.637797i	0.0373639	−	0.0271464i
$553$	−20.3024	+	62.4843i	−0.863345	+	2.65710i
$554$	−4.35277	+	13.3965i	−0.184932	+	0.569161i
$555$	0.00701259	+	0.0460949i	0.000297668	+	0.00195662i
$556$	5.13810	+	15.8134i	0.217904	+	0.670639i
$557$	−26.3285			−1.11557			−0.557787	−	0.829984i	$-0.688350\pi$
$557$	−26.3285			−1.11557			−0.557787	+	0.829984i	$0.688350\pi$
$558$	−1.42862	−	4.39685i	−0.0604784	−	0.186133i
$559$	−3.38841	−	2.46182i	−0.143314	−	0.104124i
$560$	39.3335	−	19.7399i	1.66214	−	0.834165i
$561$	12.9370	−	9.39931i	0.546202	−	0.396839i
$562$	1.76879	+	1.28510i	0.0746120	+	0.0542088i
$563$	−29.7482	−	21.6134i	−1.25374	−	0.910895i	−0.255306	−	0.966860i	$-0.582176\pi$
$563$	−29.7482	−	21.6134i	−1.25374	−	0.910895i	−0.998433	+	0.0559656i	$0.982176\pi$
$564$	−4.00758	+	2.91168i	−0.168749	+	0.122604i
$565$	−21.3554	+	10.7175i	−0.898429	+	0.450887i
$566$	3.68770	+	2.67927i	0.155005	+	0.112618i
$567$	−1.21828	−	3.74947i	−0.0511629	−	0.157463i
$568$	−15.0449			−0.631271
$569$	−11.2118	−	34.5065i	−0.470025	−	1.44659i	−0.852552	−	0.522643i	$-0.824946\pi$
$569$	−11.2118	−	34.5065i	−0.470025	−	1.44659i	0.382527	−	0.923944i	$-0.375054\pi$
$570$	−1.35326	−	8.89521i	−0.0566819	−	0.372579i
$571$	−1.03966	+	3.19975i	−0.0435085	+	0.133906i	−0.970451	−	0.241298i	$-0.922427\pi$
$571$	−1.03966	+	3.19975i	−0.0435085	+	0.133906i	0.926943	+	0.375203i	$0.122427\pi$
$572$	−5.47766	+	16.8585i	−0.229032	+	0.704889i
$573$	−5.43095	+	3.94582i	−0.226881	+	0.164839i
$574$	9.90337			0.413359
$575$	−2.76726	−	0.936635i	−0.115403	−	0.0390604i
$576$	1.78646			0.0744359
$577$	5.56961	−	4.04656i	0.231866	−	0.168461i	−0.465786	−	0.884898i	$-0.654228\pi$
$577$	5.56961	−	4.04656i	0.231866	−	0.168461i	0.697652	+	0.716437i	$0.254228\pi$
$578$	5.10190	−	15.7020i	0.212211	−	0.653118i
$579$	1.49199	−	4.59186i	0.0620048	−	0.190831i
$580$	−7.12701	+	3.57677i	−0.295933	+	0.148517i
$581$	−0.952256	−	2.93074i	−0.0395062	−	0.121588i
$582$	4.18814			0.173604
$583$	−5.14086	−	15.8219i	−0.212913	−	0.655278i
$584$	−20.0070	−	14.5359i	−0.827895	−	0.601501i
$585$	−7.26038	−	1.19540i	−0.300180	−	0.0494238i
$586$	24.3800	−	17.7131i	1.00713	−	0.731720i
$587$	11.9230	+	8.66258i	0.492116	+	0.357543i	0.805997	−	0.591919i	$-0.201630\pi$
$587$	11.9230	+	8.66258i	0.492116	+	0.357543i	−0.313882	+	0.949462i	$0.601630\pi$
$588$	−6.30078	−	4.57778i	−0.259840	−	0.188785i
$589$	5.16880	−	3.75536i	0.212977	−	0.154737i
$590$	−8.22186	+	15.8957i	−0.338489	+	0.654416i
$591$	11.6370	+	8.45474i	0.478680	+	0.347782i
$592$	0.0321670	+	0.0989998i	0.00132206	+	0.00406887i
$593$	5.82561			0.239229			0.119615	−	0.992820i	$-0.461834\pi$
$593$	5.82561			0.239229			0.119615	+	0.992820i	$0.461834\pi$
$594$	3.11562	+	9.58890i	0.127836	+	0.393437i
$595$	23.5411	+	3.87597i	0.965091	+	0.158899i
$596$	4.15041	−	12.7737i	0.170008	−	0.523230i
$597$	−2.69651	+	8.29899i	−0.110361	+	0.339655i
$598$	−2.65426	+	1.92844i	−0.108541	+	0.0788596i
$599$	−27.1527			−1.10943			−0.554715	−	0.832040i	$-0.687173\pi$
$599$	−27.1527			−1.10943			−0.554715	+	0.832040i	$0.687173\pi$
$600$	−5.36572	−	7.57812i	−0.219055	−	0.309375i
$601$	20.9140			0.853101			0.426551	−	0.904464i	$-0.359729\pi$
$601$	20.9140			0.853101			0.426551	+	0.904464i	$0.359729\pi$
$602$	−6.92705	+	5.03280i	−0.282326	+	0.205121i
$603$	1.86361	−	5.73559i	0.0758919	−	0.233571i
$604$	−4.91194	+	15.1174i	−0.199864	+	0.615118i
$605$	37.5777	+	38.0393i	1.52775	+	1.54652i
$606$	3.62513	+	11.1570i	0.147261	+	0.453222i
$607$	1.46424			0.0594318			0.0297159	−	0.999558i	$-0.490540\pi$
$607$	1.46424			0.0594318			0.0297159	+	0.999558i	$0.490540\pi$
$608$	−3.50094	−	10.7748i	−0.141982	−	0.436975i
$609$	−12.4762	−	9.06453i	−0.505563	−	0.367313i
$610$	−14.9662	−	15.1500i	−0.605963	−	0.613405i
$611$	−14.4653	+	10.5096i	−0.585202	+	0.425174i
$612$	−1.99610	−	1.45025i	−0.0806875	−	0.0586229i
$613$	−28.0814	−	20.4023i	−1.13420	−	0.824041i	−0.147896	−	0.989003i	$-0.547250\pi$
$613$	−28.0814	−	20.4023i	−1.13420	−	0.824041i	−0.986300	+	0.164962i	$0.947250\pi$
$614$	−39.4255	+	28.6443i	−1.59108	+	1.15599i
$615$	−0.495097	−	3.25435i	−0.0199642	−	0.131228i
$616$	−34.9981	−	25.4276i	−1.41011	−	1.02451i
$617$	12.9490	+	39.8529i	0.521307	+	1.60442i	0.771506	+	0.636222i	$0.219504\pi$
$617$	12.9490	+	39.8529i	0.521307	+	1.60442i	−0.250199	+	0.968194i	$0.580496\pi$
$618$	−20.0551			−0.806736
$619$	−5.79758	−	17.8431i	−0.233025	−	0.717176i	−0.997377	−	0.0723776i	$-0.976941\pi$
$619$	−5.79758	−	17.8431i	−0.233025	−	0.717176i	0.764353	−	0.644798i	$-0.223059\pi$
$620$	−2.53745	+	4.90577i	−0.101906	+	0.197021i
$621$	−0.180557	+	0.555698i	−0.00724551	+	0.0222994i
$622$	15.4647	−	47.5954i	0.620077	−	1.90840i
$623$	−11.0780	+	8.04863i	−0.443830	+	0.322461i
$624$	−16.4276			−0.657631
$625$	−8.30354	+	23.5807i	−0.332142	+	0.943230i
$626$	29.8498			1.19304
$627$	−11.2724	+	8.18990i	−0.450177	+	0.327073i
$628$	5.04579	−	15.5294i	0.201349	−	0.619689i
$629$	−0.0174383	+	0.0536696i	−0.000695311	+	0.00213995i
$630$	−6.91083	+	13.3610i	−0.275334	+	0.532317i
$631$	3.05583	+	9.40488i	0.121651	+	0.374402i	0.993276	−	0.115770i	$-0.0369337\pi$
$631$	3.05583	+	9.40488i	0.121651	+	0.374402i	−0.871625	+	0.490173i	$0.836934\pi$
$632$	30.9479			1.23104
$633$	0.919687	+	2.83050i	0.0365543	+	0.112502i
$634$	5.40820	+	3.92928i	0.214787	+	0.156052i
$635$	4.55459	+	29.9380i	0.180743	+	1.18806i
$636$	−2.07663	+	1.50876i	−0.0823436	+	0.0598261i
$637$	−22.7425	−	16.5234i	−0.901091	−	0.654681i
$638$	31.9068	+	23.1816i	1.26320	+	0.917769i
$639$	6.55415	−	4.76187i	0.259278	−	0.188377i
$640$	−19.8900	−	20.1343i	−0.786221	−	0.795877i
$641$	1.46647	+	1.06546i	0.0579223	+	0.0420830i	0.616370	−	0.787457i	$-0.288603\pi$
$641$	1.46647	+	1.06546i	0.0579223	+	0.0420830i	−0.558447	+	0.829540i	$0.688603\pi$
$642$	−2.98860	−	9.19797i	−0.117951	−	0.363015i
$643$	45.7391			1.80377			0.901886	−	0.431974i	$-0.142183\pi$
$643$	45.7391			1.80377			0.901886	+	0.431974i	$0.142183\pi$
$644$	0.648959	+	1.99729i	0.0255726	+	0.0787043i
$645$	2.00013	+	2.02470i	0.0787551	+	0.0797224i
$646$	3.36518	−	10.3570i	0.132401	−	0.407489i
$647$	−7.93466	+	24.4204i	−0.311944	+	0.960064i	0.665050	+	0.746798i	$0.268410\pi$
$647$	−7.93466	+	24.4204i	−0.311944	+	0.960064i	−0.976994	+	0.213266i	$0.931590\pi$
$648$	−1.50241	+	1.09157i	−0.0590203	+	0.0428807i
$649$	27.7137			1.08786
$650$	16.2237	+	22.9131i	0.636348	+	0.898726i
$651$	−10.6814			−0.418637
$652$	−16.0491	+	11.6604i	−0.628532	+	0.456655i
$653$	11.1148	−	34.2079i	0.434957	−	1.33866i	−0.458173	−	0.888863i	$-0.651496\pi$
$653$	11.1148	−	34.2079i	0.434957	−	1.33866i	0.893130	−	0.449798i	$-0.148504\pi$
$654$	0.717795	−	2.20914i	0.0280680	−	0.0863844i
$655$	−10.1324	−	1.66827i	−0.395906	−	0.0651848i
$656$	−2.27103	−	6.98950i	−0.0886687	−	0.272894i
$657$	13.3166			0.519530
$658$	11.2954	+	34.7638i	0.440342	+	1.35523i
$659$	25.9633	+	18.8635i	1.01139	+	0.734816i	0.964500	−	0.264084i	$-0.0850696\pi$
$659$	25.9633	+	18.8635i	1.01139	+	0.734816i	0.0468880	+	0.998900i	$0.485070\pi$
$660$	5.53382	−	10.6988i	0.215404	−	0.416450i
$661$	−13.1113	+	9.52591i	−0.509970	+	0.370515i	−0.812812	−	0.582526i	$-0.802064\pi$
$661$	−13.1113	+	9.52591i	−0.509970	+	0.370515i	0.302842	+	0.953041i	$0.402064\pi$
$662$	−24.2320	−	17.6056i	−0.941803	−	0.684260i
$663$	−7.20487	−	5.23465i	−0.279814	−	0.203297i
$664$	−1.17435	+	0.853212i	−0.0455734	+	0.0331110i
$665$	−20.5121	−	3.37725i	−0.795424	−	0.130964i
$666$	−0.0287849	−	0.0209135i	−0.00111539	−	0.000810381i
$667$	0.706281	+	2.17371i	0.0273473	+	0.0841663i
$668$	−20.6065			−0.797289
$669$	−0.0941522	−	0.289771i	−0.00364014	−	0.0112032i
$670$	−20.5660	+	10.3213i	−0.794533	+	0.398745i
$671$	−10.1908	+	31.3642i	−0.393413	+	1.21080i
$672$	−5.85301	+	18.0137i	−0.225785	+	0.694895i
$673$	−27.6367	+	20.0792i	−1.06531	+	0.773997i	−0.975064	−	0.221922i	$-0.928767\pi$
$673$	−27.6367	+	20.0792i	−1.06531	+	0.773997i	−0.0902506	+	0.995919i	$0.528767\pi$
$674$	23.9703			0.923301
$675$	4.73607	+	1.60302i	0.182291	+	0.0617001i
$676$	−1.97976			−0.0761446
$677$	−7.42284	+	5.39301i	−0.285283	+	0.207270i	−0.721218	−	0.692708i	$-0.756418\pi$
$677$	−7.42284	+	5.39301i	−0.285283	+	0.207270i	0.435935	+	0.899978i	$0.356418\pi$
$678$	5.63450	−	17.3412i	0.216392	−	0.665985i
$679$	2.99017	−	9.20281i	0.114752	−	0.353171i
$680$	−1.69028	−	11.1105i	−0.0648194	−	0.426068i
$681$	−2.95798	−	9.10372i	−0.113350	−	0.348855i
$682$	27.3166			1.04601
$683$	6.02604	+	18.5463i	0.230580	+	0.709653i	0.997677	+	0.0681215i	$0.0217006\pi$
$683$	6.02604	+	18.5463i	0.230580	+	0.709653i	−0.767097	+	0.641531i	$0.778299\pi$
$684$	1.73926	+	1.26365i	0.0665023	+	0.0483168i
$685$	30.5013	−	15.3074i	1.16539	−	0.584866i
$686$	−8.39634	+	6.10030i	−0.320574	+	0.232910i
$687$	−9.81269	−	7.12934i	−0.374378	−	0.272001i
$688$	5.14050	+	3.73479i	0.195980	+	0.142387i
$689$	−7.49553	+	5.44582i	−0.285557	+	0.207469i
$690$	1.99255	−	0.999986i	0.0758552	−	0.0380688i
$691$	−23.4986	−	17.0727i	−0.893927	−	0.649476i	0.0429718	−	0.999076i	$-0.486317\pi$
$691$	−23.4986	−	17.0727i	−0.893927	−	0.649476i	−0.936899	+	0.349600i	$0.886317\pi$
$692$	3.63750	+	11.1951i	0.138277	+	0.425573i
$693$	23.2946			0.884889
$694$	0.543375	+	1.67234i	0.0206262	+	0.0634810i
$695$	−6.13371	−	40.3179i	−0.232665	−	1.52934i
$696$	−2.24479	+	6.90876i	−0.0850886	+	0.261876i
$697$	1.23116	−	3.78914i	0.0466337	−	0.143524i
$698$	29.7666	−	21.6267i	1.12668	−	0.818583i
$699$	20.1002			0.760261
$700$	17.1580	−	5.34431i	0.648510	−	0.201996i
$701$	−20.4085			−0.770820			−0.385410	−	0.922745i	$-0.625940\pi$
$701$	−20.4085			−0.770820			−0.385410	+	0.922745i	$0.625940\pi$
$702$	4.54267	−	3.30045i	0.171452	−	0.124567i
$703$	0.0151945	−	0.0467640i	0.000573073	−	0.00176374i
$704$	−3.26188	+	10.0390i	−0.122937	+	0.378360i
$705$	10.8591	−	5.44974i	0.408976	−	0.205249i
$706$	−3.77345	−	11.6135i	−0.142016	−	0.437079i
$707$	27.1040			1.01935
$708$	−1.32137	−	4.06676i	−0.0496601	−	0.152838i
$709$	−13.3334	−	9.68727i	−0.500746	−	0.363813i	0.308556	−	0.951206i	$-0.400154\pi$
$709$	−13.3334	−	9.68727i	−0.500746	−	0.363813i	−0.809302	+	0.587393i	$0.800154\pi$
$710$	−30.5005	−	5.02182i	−1.14466	−	0.188466i
$711$	−13.4821	+	9.79534i	−0.505619	+	0.367354i
$712$	5.21829	+	3.79131i	0.195564	+	0.142085i
$713$	1.28072	+	0.930497i	0.0479633	+	0.0348474i
$714$	−14.7292	+	10.7014i	−0.551226	+	0.400489i
$715$	19.9742	−	38.6171i	0.746992	−	1.44420i
$716$	4.74294	+	3.44595i	0.177252	+	0.128781i
$717$	5.45838	+	16.7992i	0.203847	+	0.627376i
$718$	−46.3309			−1.72905
$719$	9.60466	+	29.5601i	0.358193	+	1.10241i	0.954135	+	0.299378i	$0.0967791\pi$
$719$	9.60466	+	29.5601i	0.358193	+	1.10241i	−0.595941	+	0.803028i	$0.703221\pi$
$720$	11.0146	+	1.81352i	0.410490	+	0.0675860i
$721$	−14.3186	+	44.0681i	−0.533253	+	1.64118i
$722$	7.08642	−	21.8098i	0.263729	−	0.811675i
$723$	−23.8973	+	17.3624i	−0.888752	+	0.645716i
$724$	13.4080			0.498305
$725$	18.6735	−	5.81636i	0.693516	−	0.216014i
$726$	−40.8036			−1.51436
$727$	0.771033	−	0.560188i	0.0285960	−	0.0207762i	−0.573395	−	0.819279i	$-0.694374\pi$
$727$	0.771033	−	0.560188i	0.0285960	−	0.0207762i	0.601991	+	0.798503i	$0.294374\pi$
$728$	−7.44492	+	22.9131i	−0.275927	+	0.849217i
$729$	0.309017	−	0.951057i	0.0114451	−	0.0352243i
$730$	−35.7082	−	36.1467i	−1.32162	−	1.33785i
$731$	1.06445	+	3.27603i	0.0393700	+	0.121168i
$732$	5.08833			0.188070
$733$	−4.75118	−	14.6226i	−0.175489	−	0.540099i	0.824167	−	0.566347i	$-0.191644\pi$
$733$	−4.75118	−	14.6226i	−0.175489	−	0.540099i	−0.999655	+	0.0262485i	$0.991644\pi$
$734$	29.6006	+	21.5061i	1.09258	+	0.793806i
$735$	13.4246	+	13.5895i	0.495173	+	0.501255i
$736$	2.27103	−	1.65000i	0.0837114	−	0.0608199i
$737$	28.8284	+	20.9451i	1.06191	+	0.771522i
$738$	2.03225	+	1.47651i	0.0748081	+	0.0543513i
$739$	−4.20110	+	3.05228i	−0.154540	+	0.112280i	−0.662368	−	0.749179i	$-0.730449\pi$
$739$	−4.20110	+	3.05228i	−0.154540	+	0.112280i	0.507828	+	0.861458i	$0.330449\pi$
$740$	0.00639318	+	0.0420234i	0.000235018	+	0.00154481i
$741$	6.27782	+	4.56110i	0.230622	+	0.167556i
$742$	5.85301	+	18.0137i	0.214871	+	0.661305i
$743$	−42.3399			−1.55330			−0.776650	−	0.629932i	$-0.783083\pi$
$743$	−42.3399			−1.55330			−0.776650	+	0.629932i	$0.783083\pi$
$744$	1.55481	+	4.78521i	0.0570021	+	0.175434i
$745$	−15.1344	+	29.2601i	−0.554482	+	1.07201i
$746$	−3.36980	+	10.3712i	−0.123377	+	0.379716i
$747$	0.241540	−	0.743385i	0.00883750	−	0.0271990i
$748$	11.7943	−	8.56909i	0.431244	−	0.313317i
$749$	−22.3449			−0.816465
$750$	−8.34842	−	17.1541i	−0.304841	−	0.626379i
$751$	22.2461			0.811773			0.405887	−	0.913923i	$-0.366963\pi$
$751$	22.2461			0.811773			0.405887	+	0.913923i	$0.366963\pi$
$752$	21.9450	−	15.9440i	0.800251	−	0.581416i
$753$	0.585267	−	1.80127i	0.0213283	−	0.0656418i
$754$	6.78733	−	20.8892i	0.247180	−	0.760741i
$755$	17.9113	−	34.6288i	0.651860	−	1.26027i
$756$	−1.11067	−	3.41829i	−0.0403947	−	0.124322i
$757$	−9.27680			−0.337171			−0.168585	−	0.985687i	$-0.553920\pi$
$757$	−9.27680			−0.337171			−0.168585	+	0.985687i	$0.553920\pi$
$758$	0.0815549	+	0.251000i	0.00296221	+	0.00911674i
$759$	−2.79307	−	2.02928i	−0.101382	−	0.0736583i
$760$	1.47279	+	9.68091i	0.0534238	+	0.351163i
$761$	14.0868	−	10.2346i	0.510644	−	0.371005i	−0.302424	−	0.953174i	$-0.597796\pi$
$761$	14.0868	−	10.2346i	0.510644	−	0.371005i	0.813068	+	0.582169i	$0.197796\pi$
$762$	−18.6954	−	13.5830i	−0.677265	−	0.492062i
$763$	−4.34178	−	3.15449i	−0.157183	−	0.114200i
$764$	−4.95125	+	3.59729i	−0.179130	+	0.130145i
$765$	4.25294	+	4.30517i	0.153765	+	0.155654i
$766$	−5.87403	−	4.26773i	−0.212237	−	0.154200i
$767$	−4.76945	−	14.6789i	−0.172215	−	0.530023i
$768$	18.0245			0.650404
$769$	−7.16648	−	22.0562i	−0.258430	−	0.795365i	−0.993134	−	0.116978i	$-0.962679\pi$
$769$	−7.16648	−	22.0562i	−0.258430	−	0.795365i	0.734705	−	0.678387i	$-0.237321\pi$
$770$	−62.4640	−	63.2312i	−2.25105	−	2.27869i
$771$	6.83579	−	21.0384i	0.246185	−	0.757680i
$772$	1.36020	−	4.18627i	0.0489547	−	0.150667i
$773$	4.45605	−	3.23751i	0.160273	−	0.116445i	−0.504758	−	0.863261i	$-0.668418\pi$
$773$	4.45605	−	3.23751i	0.160273	−	0.116445i	0.665031	+	0.746816i	$0.268418\pi$
$774$	−2.17183			−0.0780650
$775$	8.09574	−	10.8615i	0.290808	−	0.390157i
$776$	−4.55807			−0.163625
$777$	−0.0665056	+	0.0483191i	−0.00238587	+	0.00173344i
$778$	10.7401	−	33.0545i	0.385049	−	1.18506i
$779$	−1.07275	+	3.30159i	−0.0384353	+	0.118292i
$780$	−6.61909	−	1.08981i	−0.237001	−	0.0390216i
$781$	14.7922	+	45.5257i	0.529306	+	1.62904i
$782$	2.69830			0.0964909
$783$	−1.20877	−	3.72022i	−0.0431980	−	0.132950i
$784$	34.5023	+	25.0674i	1.23222	+	0.895263i
$785$	−18.3994	+	35.5724i	−0.656703	+	1.26963i
$786$	6.33964	−	4.60602i	0.226128	−	0.164291i
$787$	−20.8703	−	15.1632i	−0.743946	−	0.540509i	0.149998	−	0.988686i	$-0.452073\pi$
$787$	−20.8703	−	15.1632i	−0.743946	−	0.540509i	−0.893944	+	0.448178i	$0.852073\pi$
$788$	10.6091	+	7.70795i	0.377933	+	0.274584i
$789$	15.9500	−	11.5884i	0.567835	−	0.412556i
$790$	62.7406	+	10.3301i	2.23221	+	0.367527i
$791$	−34.0819	−	24.7619i	−1.21181	−	0.880433i
$792$	−3.39082	−	10.4359i	−0.120488	−	0.370823i
$793$	18.3662			0.652203
$794$	1.03200	+	3.17617i	0.0366243	+	0.112718i
$795$	5.62689	−	2.82392i	0.199565	−	0.100154i
$796$	−2.45833	+	7.56596i	−0.0871331	+	0.268168i
$797$	1.14642	−	3.52831i	0.0406082	−	0.124979i	−0.928697	−	0.370839i	$-0.879070\pi$
$797$	1.14642	−	3.52831i	0.0406082	−	0.124979i	0.969305	+	0.245860i	$0.0790702\pi$
$798$	12.8340	−	9.32443i	0.454318	−	0.330081i
$799$	14.7052			0.520233
$800$	−13.8813	−	19.6048i	−0.490778	−	0.693136i
$801$	−3.47327			−0.122722
$802$	−45.3261	+	32.9313i	−1.60052	+	1.16285i
$803$	−24.3146	+	74.8326i	−0.858043	+	2.64079i
$804$	1.69900	−	5.22898i	0.0599190	−	0.184412i
$805$	−0.774709	−	5.09229i	−0.0273049	−	0.179480i
$806$	−4.70111	−	14.4685i	−0.165589	−	0.509632i
$807$	18.1647			0.639429
$808$	−3.94533	−	12.1425i	−0.138796	−	0.427171i
$809$	−30.3414	−	22.0443i	−1.06675	−	0.775037i	−0.0914219	−	0.995812i	$-0.529141\pi$
$809$	−30.3414	−	22.0443i	−1.06675	−	0.775037i	−0.975325	+	0.220776i	$0.929141\pi$
$810$	−3.41018	+	1.71144i	−0.119822	+	0.0601338i
$811$	−36.9041	+	26.8124i	−1.29588	+	0.941509i	−0.999906	−	0.0136877i	$-0.995643\pi$
$811$	−36.9041	+	26.8124i	−1.29588	+	0.941509i	−0.295970	+	0.955197i	$0.595643\pi$
$812$	−11.3742	−	8.26387i	−0.399158	−	0.290005i
$813$	−18.2591	−	13.2660i	−0.640375	−	0.465260i
$814$	0.170081	−	0.123571i	0.00596135	−	0.00433117i
$815$	43.4872	−	21.8245i	1.52329	−	0.764480i
$816$	10.9304	+	7.94139i	0.382640	+	0.278004i
$817$	−0.927484	−	2.85450i	−0.0324486	−	0.0998664i
$818$	67.5317			2.36119
$819$	−4.00894	−	12.3382i	−0.140084	−	0.431133i
$820$	−0.451366	−	2.96690i	−0.0157624	−	0.103609i
$821$	13.9216	−	42.8462i	0.485866	−	1.49534i	−0.344857	−	0.938655i	$-0.612073\pi$
$821$	13.9216	−	42.8462i	0.485866	−	1.49534i	0.830723	−	0.556686i	$-0.187927\pi$
$822$	−8.04758	+	24.7679i	−0.280691	+	0.863880i
$823$	33.5397	−	24.3680i	1.16912	−	0.849415i	0.178217	−	0.983991i	$-0.442967\pi$
$823$	33.5397	−	24.3680i	1.16912	−	0.849415i	0.990903	+	0.134576i	$0.0429672\pi$
$824$	21.8266			0.760364
$825$	−17.6557	+	23.6874i	−0.614691	+	0.824690i
$826$	−31.5529			−1.09786
$827$	31.3035	−	22.7434i	1.08853	−	0.790864i	0.109380	−	0.994000i	$-0.465113\pi$
$827$	31.3035	−	22.7434i	1.08853	−	0.790864i	0.979151	+	0.203136i	$0.0651134\pi$
$828$	−0.164609	+	0.506614i	−0.00572056	+	0.0176061i
$829$	7.45527	−	22.9450i	0.258932	−	0.796911i	−0.734097	−	0.679044i	$-0.762394\pi$
$829$	7.45527	−	22.9450i	0.258932	−	0.796911i	0.993029	−	0.117867i	$-0.0376056\pi$
$830$	−2.66554	+	1.33773i	−0.0925221	+	0.0464333i
$831$	2.55091	+	7.85089i	0.0884901	+	0.272344i
$832$	5.87864			0.203805
$833$	7.14441	+	21.9882i	0.247539	+	0.761847i
$834$	25.1774	+	18.2924i	0.871821	+	0.633415i
$835$	49.8703	+	8.21101i	1.72583	+	0.284154i
$836$	−10.2768	+	7.46650i	−0.355429	+	0.258234i
$837$	−2.19190	−	1.59251i	−0.0757633	−	0.0550452i
$838$	27.0014	+	19.6177i	0.932748	+	0.677681i
$839$	14.3890	−	10.4542i	0.496763	−	0.360919i	−0.311016	−	0.950405i	$-0.600669\pi$
$839$	14.3890	−	10.4542i	0.496763	−	0.360919i	0.807779	+	0.589485i	$0.200669\pi$
$840$	7.52125	−	14.5412i	0.259508	−	0.501719i
$841$	11.0826	+	8.05197i	0.382158	+	0.277654i
$842$	21.2671	+	65.4534i	0.732913	+	2.25567i
$843$	1.28129			0.0441300
$844$	0.838452	+	2.58049i	0.0288607	+	0.0888242i
$845$	4.79127	+	0.788869i	0.164825	+	0.0271379i
$846$	−2.86510	+	8.81786i	−0.0985041	+	0.303164i
$847$	−29.1322	+	89.6598i	−1.00100	+	3.08075i
$848$	11.3713	−	8.26176i	0.390493	−	0.283710i
$849$	2.67132			0.0916796
$850$	0.281854	−	23.0884i	0.00966750	−	0.791927i
$851$	0.0121834			0.000417642
$852$	5.97524	−	4.34126i	0.204708	−	0.148729i
$853$	3.96878	−	12.2147i	0.135889	−	0.418222i	−0.859839	−	0.510566i	$-0.829436\pi$
$853$	3.96878	−	12.2147i	0.135889	−	0.418222i	0.995727	+	0.0923439i	$0.0294359\pi$
$854$	11.6026	−	35.7090i	0.397032	−	1.22194i
$855$	−3.70571	−	3.75123i	−0.126733	−	0.128289i
$856$	3.25258	+	10.0104i	0.111171	+	0.342149i
$857$	−15.6015			−0.532936			−0.266468	−	0.963844i	$-0.585857\pi$
$857$	−15.6015			−0.532936			−0.266468	+	0.963844i	$0.585857\pi$
$858$	10.2524	+	31.5538i	0.350013	+	1.07723i
$859$	−3.90628	−	2.83808i	−0.133281	−	0.0968340i	0.519147	−	0.854685i	$-0.326250\pi$
$859$	−3.90628	−	2.83808i	−0.133281	−	0.0968340i	−0.652428	+	0.757851i	$0.726250\pi$
$860$	1.82346	+	1.84586i	0.0621796	+	0.0629433i
$861$	4.69537	−	3.41138i	0.160018	−	0.116260i
$862$	18.9636	+	13.7779i	0.645904	+	0.469276i
$863$	10.6425	+	7.73222i	0.362274	+	0.263208i	0.754000	−	0.656874i	$-0.228122\pi$
$863$	10.6425	+	7.73222i	0.362274	+	0.263208i	−0.391726	+	0.920082i	$0.628122\pi$
$864$	−3.88679	+	2.82392i	−0.132231	+	0.0960716i
$865$	−4.34235	−	28.5430i	−0.147644	−	0.970490i
$866$	−17.1529	−	12.4623i	−0.582879	−	0.423486i
$867$	−2.98993	−	9.20205i	−0.101543	−	0.312518i
$868$	−9.73792			−0.330527
$869$	−30.4281	−	93.6480i	−1.03220	−	3.17679i
$870$	−6.85691	+	13.2568i	−0.232471	+	0.449448i
$871$	6.13249	−	18.8739i	0.207792	−	0.639517i
$872$	−0.781196	+	2.40427i	−0.0264546	+	0.0814190i
$873$	1.98567	−	1.44268i	0.0672049	−	0.0488272i
$874$	−2.35111			−0.0795274
$875$	−43.6540	+	6.09702i	−1.47577	+	0.206117i
$876$	12.1404			0.410185
$877$	−5.05840	+	3.67515i	−0.170810	+	0.124101i	−0.669906	−	0.742446i	$-0.733666\pi$
$877$	−5.05840	+	3.67515i	−0.170810	+	0.124101i	0.499096	+	0.866547i	$0.333666\pi$
$878$	−5.78199	+	17.7951i	−0.195133	+	0.600557i
$879$	5.45741	−	16.7962i	0.184074	−	0.566521i
$880$	−30.3025	+	58.5852i	−1.02150	+	1.97491i
$881$	−5.18532	−	15.9588i	−0.174698	−	0.537665i	0.824922	−	0.565247i	$-0.191219\pi$
$881$	−5.18532	−	15.9588i	−0.174698	−	0.537665i	−0.999620	+	0.0275821i	$0.991219\pi$
$882$	−14.5770			−0.490834
$883$	5.01740	+	15.4420i	0.168849	+	0.519664i	0.999299	−	0.0374289i	$-0.0119168\pi$
$883$	5.01740	+	15.4420i	0.168849	+	0.519664i	−0.830450	+	0.557093i	$0.811917\pi$
$884$	−6.56848	−	4.77228i	−0.220922	−	0.160509i
$885$	1.57741	+	10.3686i	0.0530242	+	0.348537i
$886$	11.2259	−	8.15606i	0.377140	−	0.274008i
$887$	−46.6700	−	33.9078i	−1.56703	−	1.13851i	−0.929935	−	0.367723i	$-0.880137\pi$
$887$	−46.6700	−	33.9078i	−1.56703	−	1.13851i	−0.637091	−	0.770788i	$-0.719863\pi$
$888$	0.0313275	+	0.0227607i	0.00105128	+	0.000763800i
$889$	−43.1945	+	31.3827i	−1.44870	+	1.05254i
$890$	9.31351	+	9.42790i	0.312190	+	0.316024i
$891$	4.78023	+	3.47304i	0.160144	+	0.116351i
$892$	−0.0858359	−	0.264176i	−0.00287400	−	0.00884526i
$893$	−12.8131			−0.428774
$894$	−7.76827	−	23.9083i	−0.259810	−	0.799612i
$895$	−10.1054	−	10.2295i	−0.337787	−	0.341936i
$896$	15.4198	−	47.4572i	0.515138	−	1.58543i
$897$	−0.594152	+	1.82861i	−0.0198382	+	0.0610556i
$898$	−45.4871	+	33.0483i	−1.51793	+	1.10284i
$899$	−10.5981			−0.353465
$900$	4.31774	+	1.46142i	0.143925	+	0.0487141i
$901$	7.61988			0.253855
$902$	−12.0079	+	8.72427i	−0.399820	+	0.290486i
$903$	−1.55061	+	4.77228i	−0.0516010	+	0.158812i
$904$	−6.13219	+	18.8729i	−0.203953	+	0.627704i
$905$	−32.4491	−	5.34265i	−1.07865	−	0.177596i
$906$	9.19361	+	28.2950i	0.305437	+	0.940039i
$907$	9.00465			0.298995			0.149497	−	0.988762i	$-0.452234\pi$
$907$	9.00465			0.298995			0.149497	+	0.988762i	$0.452234\pi$
$908$	−2.69670	−	8.29960i	−0.0894933	−	0.275432i
$909$	5.56195	+	4.04100i	0.184478	+	0.134031i
$910$	−22.7412	+	43.9666i	−0.753863	+	1.45748i
$911$	−24.2303	+	17.6044i	−0.802786	+	0.583258i	−0.911730	−	0.410789i	$-0.865253\pi$
$911$	−24.2303	+	17.6044i	−0.802786	+	0.583258i	0.108944	+	0.994048i	$0.465253\pi$
$912$	−9.52397	−	6.91957i	−0.315370	−	0.229130i
$913$	3.73642	+	2.71467i	0.123658	+	0.0898425i
$914$	−31.5853	+	22.9481i	−1.04475	+	0.759056i
$915$	−12.3144	−	2.02753i	−0.407102	−	0.0670281i
$916$	−8.94596	−	6.49962i	−0.295583	−	0.214753i
$917$	−5.59477	−	17.2189i	−0.184756	−	0.568619i
$918$	−4.61803			−0.152418
$919$	2.76125	+	8.49826i	0.0910853	+	0.280332i	0.986214	−	0.165477i	$-0.0529162\pi$
$919$	2.76125	+	8.49826i	0.0910853	+	0.280332i	−0.895128	+	0.445808i	$0.852916\pi$
$920$	−2.16855	+	1.08831i	−0.0714951	+	0.0358806i
$921$	−8.82532	+	27.1615i	−0.290804	+	0.895003i
$922$	−6.34995	+	19.5431i	−0.209125	+	0.643619i
$923$	21.5675	−	15.6697i	0.709902	−	0.515774i
$924$	21.2370			0.698647
$925$	0.00127263	−	0.104249i	4.18439e−5	−	0.00342770i
$926$	46.4133			1.52524
$927$	−9.50850	+	6.90833i	−0.312300	+	0.226899i
$928$	−5.80735	+	17.8732i	−0.190636	+	0.586716i
$929$	−12.8117	+	39.4304i	−0.420339	+	1.29367i	0.487048	+	0.873375i	$0.338074\pi$
$929$	−12.8117	+	39.4304i	−0.420339	+	1.29367i	−0.907387	+	0.420296i	$0.861926\pi$
$930$	1.55481	+	10.2200i	0.0509842	+	0.335128i
$931$	−6.22514	−	19.1590i	−0.204021	−	0.627911i
$932$	18.3248			0.600250
$933$	−9.06296	−	27.8929i	−0.296708	−	0.913173i
$934$	−5.44243	−	3.95416i	−0.178082	−	0.129384i
$935$	−31.9583	+	16.0386i	−1.04515	+	0.524519i
$936$	−4.94392	+	3.59197i	−0.161597	+	0.117407i
$937$	−16.8749	−	12.2603i	−0.551278	−	0.400527i	0.276978	−	0.960876i	$-0.410667\pi$
$937$	−16.8749	−	12.2603i	−0.551278	−	0.400527i	−0.828256	+	0.560349i	$0.810667\pi$
$938$	−32.8220	−	23.8466i	−1.07168	−	0.778618i
$939$	14.1523	−	10.2823i	0.461844	−	0.335549i
$940$	9.89989	−	4.96837i	0.322899	−	0.162050i
$941$	−2.97219	−	2.15942i	−0.0968905	−	0.0703951i	0.538285	−	0.842763i	$-0.319072\pi$
$941$	−2.97219	−	2.15942i	−0.0968905	−	0.0703951i	−0.635176	+	0.772368i	$0.719072\pi$
$942$	−9.44413	−	29.0661i	−0.307706	−	0.947023i
$943$	−0.860163			−0.0280107
$944$	7.23565	+	22.2691i	0.235500	+	0.724796i
$945$	1.32589	+	8.71526i	0.0431311	+	0.283508i
$946$	3.96552	−	12.2046i	0.128930	−	0.396807i
$947$	−9.79575	+	30.1482i	−0.318319	+	0.979685i	0.656048	+	0.754719i	$0.272227\pi$
$947$	−9.79575	+	30.1482i	−0.318319	+	0.979685i	−0.974367	+	0.224966i	$0.927773\pi$
$948$	−12.2913	+	8.93013i	−0.399202	+	0.290037i
$949$	43.8204			1.42247
$950$	−0.245588	+	20.1177i	−0.00796791	+	0.652703i
$951$	3.91763			0.127038
$952$	16.0302	−	11.6466i	0.519541	−	0.377469i
$953$	7.91746	−	24.3674i	0.256472	−	0.789339i	−0.737064	−	0.675822i	$-0.763789\pi$
$953$	7.91746	−	24.3674i	0.256472	−	0.789339i	0.993536	−	0.113516i	$-0.0362114\pi$
$954$	−1.48462	+	4.56919i	−0.0480664	+	0.147933i
$955$	13.4160	−	6.73299i	0.434133	−	0.217875i
$956$	4.97625	+	15.3153i	0.160943	+	0.495333i
$957$	23.1129			0.747133
$958$	−10.5191	−	32.3746i	−0.339858	−	1.04598i
$959$	48.6781	+	35.3667i	1.57190	+	1.14205i
$960$	−3.94158	−	0.648971i	−0.127214	−	0.0209454i
$961$	19.1409	−	13.9067i	0.617449	−	0.448603i
$962$	−0.0947214	−	0.0688191i	−0.00305394	−	0.00221882i
$963$	−4.58535	−	3.33145i	−0.147761	−	0.107354i
$964$	−21.7865	+	15.8288i	−0.701697	+	0.509813i
$965$	−4.95995	+	9.58931i	−0.159666	+	0.308691i
$966$	3.17999	+	2.31040i	0.102314	+	0.0743358i
$967$	−8.96663	−	27.5965i	−0.288347	−	0.887442i	−0.985375	−	0.170398i	$-0.945495\pi$
$967$	−8.96663	−	27.5965i	−0.288347	−	0.887442i	0.697028	−	0.717044i	$-0.254505\pi$
$968$	44.4077			1.42732
$969$	−1.97214	−	6.06961i	−0.0633541	−	0.194984i
$970$	−9.24056	−	1.52143i	−0.296696	−	0.0488502i
$971$	−1.16588	+	3.58821i	−0.0374149	+	0.115151i	−0.968020	−	0.250875i	$-0.919282\pi$
$971$	−1.16588	+	3.58821i	−0.0374149	+	0.115151i	0.930605	+	0.366026i	$0.119282\pi$
$972$	0.281722	−	0.867051i	0.00903624	−	0.0278107i
$973$	58.1705	−	42.2634i	1.86486	−	1.35490i
$974$	18.7739			0.601553
$975$	15.5848	+	5.27498i	0.499112	+	0.168934i
$976$	−27.8630			−0.891874
$977$	−29.7044	+	21.5815i	−0.950329	+	0.690455i	−0.950885	−	0.309545i	$-0.899823\pi$
$977$	−29.7044	+	21.5815i	−0.950329	+	0.690455i	0.000555441		1.00000i	$0.499823\pi$
$978$	−11.4738	+	35.3128i	−0.366893	+	1.12918i
$979$	6.34180	−	19.5181i	0.202685	−	0.623800i
$980$	12.2388	+	12.3891i	0.390955	+	0.395757i
$981$	−0.420658	−	1.29465i	−0.0134306	−	0.0413350i
$982$	56.8104			1.81289
$983$	7.28128	+	22.4095i	0.232237	+	0.714752i	0.997476	+	0.0710055i	$0.0226208\pi$
$983$	7.28128	+	22.4095i	0.232237	+	0.714752i	−0.765239	+	0.643746i	$0.777379\pi$
$984$	−2.21175	−	1.60693i	−0.0705081	−	0.0512271i
$985$	−22.6040	−	22.8816i	−0.720223	−	0.729068i
$986$	−14.6143	+	10.6179i	−0.465413	+	0.338143i
$987$	17.3304	+	12.5912i	0.551631	+	0.400784i
$988$	5.72331	+	4.15823i	0.182083	+	0.132291i
$989$	0.601653	−	0.437126i	0.0191314	−	0.0138998i
$990$	−3.39082	−	22.2884i	−0.107767	−	0.708372i
$991$	−23.5727	−	17.1266i	−0.748812	−	0.544044i	0.146646	−	0.989189i	$-0.453152\pi$
$991$	−23.5727	−	17.1266i	−0.748812	−	0.544044i	−0.895458	+	0.445145i	$0.853152\pi$
$992$	4.02235	+	12.3795i	0.127710	+	0.393050i
$993$	−17.5534			−0.557039
$994$	−16.8413	−	51.8323i	−0.534175	−	1.64402i
$995$	8.96425	−	17.3310i	0.284186	−	0.549430i
$996$	0.220205	−	0.677723i	0.00697748	−	0.0214745i
$997$	13.5733	−	41.7742i	0.429870	−	1.32300i	−0.468384	−	0.883525i	$-0.655164\pi$
$997$	13.5733	−	41.7742i	0.429870	−	1.32300i	0.898254	−	0.439478i	$-0.144836\pi$
$998$	−56.7993	+	41.2671i	−1.79795	+	1.30629i
$999$	−0.0208515			−0.000659711

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	75.2.g.b.61.2	yes	8
3.2	odd	2		225.2.h.c.136.1		8
5.2	odd	4		375.2.i.b.199.3		16
5.3	odd	4		375.2.i.b.199.2		16
5.4	even	2		375.2.g.b.301.1		8
25.3	odd	20		1875.2.b.c.1249.6		8
25.4	even	10		1875.2.a.e.1.4		4
25.9	even	10		375.2.g.b.76.1		8
25.12	odd	20		375.2.i.b.49.2		16
25.13	odd	20		375.2.i.b.49.3		16
25.16	even	5	inner	75.2.g.b.16.2	✓	8
25.21	even	5		1875.2.a.h.1.1		4
25.22	odd	20		1875.2.b.c.1249.3		8
75.29	odd	10		5625.2.a.n.1.1		4
75.41	odd	10		225.2.h.c.91.1		8
75.71	odd	10		5625.2.a.i.1.4		4

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
75.2.g.b.16.2	✓	8	25.16	even	5	inner
75.2.g.b.61.2	yes	8	1.1	even	1	trivial
225.2.h.c.91.1		8	75.41	odd	10
225.2.h.c.136.1		8	3.2	odd	2
375.2.g.b.76.1		8	25.9	even	10
375.2.g.b.301.1		8	5.4	even	2
375.2.i.b.49.2		16	25.12	odd	20
375.2.i.b.49.3		16	25.13	odd	20
375.2.i.b.199.2		16	5.3	odd	4
375.2.i.b.199.3		16	5.2	odd	4
1875.2.a.e.1.4		4	25.4	even	10
1875.2.a.h.1.1		4	25.21	even	5
1875.2.b.c.1249.3		8	25.22	odd	20
1875.2.b.c.1249.6		8	25.3	odd	20
5625.2.a.i.1.4		4	75.71	odd	10
5625.2.a.n.1.1		4	75.29	odd	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:	\( N \)	\(=\)	\( 75 = 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	75.g (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(1.38048 - 1.00297i) q^{2} +(0.309017 - 0.951057i) q^{3} +(0.281722 - 0.867051i) q^{4} +(-1.02729 + 1.98612i) q^{5} +(-0.527295 - 1.62285i) q^{6} -3.94243 q^{7} +(0.573870 + 1.76619i) q^{8} +(-0.809017 - 0.587785i) q^{9} +O(q^{10})\)	\(q+(1.38048 - 1.00297i) q^{2} +(0.309017 - 0.951057i) q^{3} +(0.281722 - 0.867051i) q^{4} +(-1.02729 + 1.98612i) q^{5} +(-0.527295 - 1.62285i) q^{6} -3.94243 q^{7} +(0.573870 + 1.76619i) q^{8} +(-0.809017 - 0.587785i) q^{9} +(0.573870 + 3.77214i) q^{10} +(4.78023 - 3.47304i) q^{11} +(-0.737558 - 0.535867i) q^{12} +(-2.66220 - 1.93420i) q^{13} +(-5.44243 + 3.95416i) q^{14} +(1.57146 + 1.59076i) q^{15} +(4.03877 + 2.93434i) q^{16} +(0.836312 + 2.57390i) q^{17} -1.70636 q^{18} +(-0.728704 - 2.24272i) q^{19} +(1.43265 + 1.45025i) q^{20} +(-1.21828 + 3.74947i) q^{21} +(3.11562 - 9.58890i) q^{22} +(0.472705 - 0.343440i) q^{23} +1.85708 q^{24} +(-2.88933 - 4.08066i) q^{25} -5.61505 q^{26} +(-0.809017 + 0.587785i) q^{27} +(-1.11067 + 3.41829i) q^{28} +(-1.20877 + 3.72022i) q^{29} +(3.76485 + 0.619872i) q^{30} +(0.837233 + 2.57674i) q^{31} +4.80433 q^{32} +(-1.82589 - 5.61950i) q^{33} +(3.73607 + 2.71441i) q^{34} +(4.05004 - 7.83013i) q^{35} +(-0.737558 + 0.535867i) q^{36} +(0.0168692 + 0.0122562i) q^{37} +(-3.25535 - 2.36515i) q^{38} +(-2.66220 + 1.93420i) q^{39} +(-4.09740 - 0.674625i) q^{40} +(-1.19098 - 0.865300i) q^{41} +(2.07882 + 6.39796i) q^{42} +1.27279 q^{43} +(-1.66461 - 5.12314i) q^{44} +(1.99851 - 1.00297i) q^{45} +(0.308096 - 0.948222i) q^{46} +(1.67907 - 5.16764i) q^{47} +(4.03877 - 2.93434i) q^{48} +8.54276 q^{49} +(-8.08145 - 2.73533i) q^{50} +2.70636 q^{51} +(-2.42705 + 1.76336i) q^{52} +(0.870050 - 2.67774i) q^{53} +(-0.527295 + 1.62285i) q^{54} +(1.98716 + 13.0619i) q^{55} +(-2.26244 - 6.96308i) q^{56} -2.35813 q^{57} +(2.06260 + 6.34804i) q^{58} +(3.79456 + 2.75691i) q^{59} +(1.82199 - 0.914384i) q^{60} +(-4.51538 + 3.28061i) q^{61} +(3.74018 + 2.71740i) q^{62} +(3.18949 + 2.31730i) q^{63} +(-1.44528 + 1.05006i) q^{64} +(6.57641 - 3.30045i) q^{65} +(-8.15681 - 5.92627i) q^{66} +(1.86361 + 5.73559i) q^{67} +2.46731 q^{68} +(-0.180557 - 0.555698i) q^{69} +(-2.26244 - 14.8714i) q^{70} +(-2.50346 + 7.70487i) q^{71} +(0.573870 - 1.76619i) q^{72} +(-10.7734 + 7.82730i) q^{73} +0.0355801 q^{74} +(-4.77379 + 1.48692i) q^{75} -2.14984 q^{76} +(-18.8457 + 13.6922i) q^{77} +(-1.73515 + 5.34023i) q^{78} +(5.14971 - 15.8492i) q^{79} +(-9.97696 + 5.00705i) q^{80} +(0.309017 + 0.951057i) q^{81} -2.51200 q^{82} +(0.241540 + 0.743385i) q^{83} +(2.90777 + 2.11262i) q^{84} +(-5.97122 - 0.983144i) q^{85} +(1.75705 - 1.27657i) q^{86} +(3.16461 + 2.29922i) q^{87} +(8.87728 + 6.44972i) q^{88} +(2.80994 - 2.04154i) q^{89} +(1.75294 - 3.38904i) q^{90} +(10.4955 + 7.62545i) q^{91} +(-0.164609 - 0.506614i) q^{92} +2.70934 q^{93} +(-2.86510 - 8.81786i) q^{94} +(5.20290 + 0.856643i) q^{95} +(1.48462 - 4.56919i) q^{96} +(-0.758460 + 2.33430i) q^{97} +(11.7931 - 8.56817i) q^{98} -5.90869 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 8 q - q^{2} - 2 q^{3} + q^{4} - 5 q^{5} - q^{6} + 4 q^{7} - 2 q^{9}+O(q^{10}) \) 8 * q - q^2 - 2 * q^3 + q^4 - 5 * q^5 - q^6 + 4 * q^7 - 2 * q^9	\( 8 q - q^{2} - 2 q^{3} + q^{4} - 5 q^{5} - q^{6} + 4 q^{7} - 2 q^{9} + 16 q^{11} - 9 q^{12} - 8 q^{13} - 8 q^{14} + 5 q^{15} - 17 q^{16} - q^{17} + 4 q^{18} - 5 q^{19} - 10 q^{20} - 11 q^{21} + 13 q^{22} + 7 q^{23} + 30 q^{24} - 15 q^{25} + 6 q^{26} - 2 q^{27} - 17 q^{28} + 5 q^{29} + 30 q^{30} - 19 q^{31} + 24 q^{32} - 9 q^{33} + 12 q^{34} - 10 q^{35} - 9 q^{36} - q^{37} - 10 q^{38} - 8 q^{39} + 25 q^{40} - 14 q^{41} - 8 q^{42} + 32 q^{43} - 3 q^{44} - 5 q^{45} + 16 q^{46} - q^{47} - 17 q^{48} + 16 q^{49} + 10 q^{50} + 4 q^{51} - 6 q^{52} - 3 q^{53} - q^{54} + 15 q^{55} - 15 q^{56} + 10 q^{57} + 5 q^{58} + 30 q^{59} - 15 q^{60} - 14 q^{61} - 17 q^{62} + 9 q^{63} - 44 q^{64} + 25 q^{65} - 7 q^{66} + 4 q^{67} - 22 q^{68} - 8 q^{69} - 15 q^{70} + 21 q^{71} + 2 q^{73} - 38 q^{74} - 15 q^{75} + 80 q^{76} - 37 q^{77} - 14 q^{78} - 30 q^{79} - 50 q^{80} - 2 q^{81} - 12 q^{82} + 2 q^{83} + 8 q^{84} - 30 q^{85} - 34 q^{86} + 15 q^{87} + 70 q^{88} - 5 q^{90} + 21 q^{91} + 9 q^{92} + 46 q^{93} - 33 q^{94} + 65 q^{95} + 34 q^{96} - 6 q^{97} + 73 q^{98} - 14 q^{99}+O(q^{100}) \) 8 * q - q^2 - 2 * q^3 + q^4 - 5 * q^5 - q^6 + 4 * q^7 - 2 * q^9 + 16 * q^11 - 9 * q^12 - 8 * q^13 - 8 * q^14 + 5 * q^15 - 17 * q^16 - q^17 + 4 * q^18 - 5 * q^19 - 10 * q^20 - 11 * q^21 + 13 * q^22 + 7 * q^23 + 30 * q^24 - 15 * q^25 + 6 * q^26 - 2 * q^27 - 17 * q^28 + 5 * q^29 + 30 * q^30 - 19 * q^31 + 24 * q^32 - 9 * q^33 + 12 * q^34 - 10 * q^35 - 9 * q^36 - q^37 - 10 * q^38 - 8 * q^39 + 25 * q^40 - 14 * q^41 - 8 * q^42 + 32 * q^43 - 3 * q^44 - 5 * q^45 + 16 * q^46 - q^47 - 17 * q^48 + 16 * q^49 + 10 * q^50 + 4 * q^51 - 6 * q^52 - 3 * q^53 - q^54 + 15 * q^55 - 15 * q^56 + 10 * q^57 + 5 * q^58 + 30 * q^59 - 15 * q^60 - 14 * q^61 - 17 * q^62 + 9 * q^63 - 44 * q^64 + 25 * q^65 - 7 * q^66 + 4 * q^67 - 22 * q^68 - 8 * q^69 - 15 * q^70 + 21 * q^71 + 2 * q^73 - 38 * q^74 - 15 * q^75 + 80 * q^76 - 37 * q^77 - 14 * q^78 - 30 * q^79 - 50 * q^80 - 2 * q^81 - 12 * q^82 + 2 * q^83 + 8 * q^84 - 30 * q^85 - 34 * q^86 + 15 * q^87 + 70 * q^88 - 5 * q^90 + 21 * q^91 + 9 * q^92 + 46 * q^93 - 33 * q^94 + 65 * q^95 + 34 * q^96 - 6 * q^97 + 73 * q^98 - 14 * q^99

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