LMFDB - Embedded newform 430.2.k.d.21.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [430,2,Mod(11,430)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(430, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([0, 10]))

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

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

chi := DirichletCharacter("430.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 430 = 2 \cdot 5 \cdot 43 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	430.k (of order $7$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$3.43356728692$
Analytic rank:	$0$
Dimension:	$24$
Relative dimension:	$4$ over $\Q(\zeta_{7})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			21.4
Character	$\chi$	$=$	430.21
Dual form			430.2.k.d.41.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.900969 + 0.433884i) q^{2} +(2.24821 - 1.08268i) q^{3} +(0.623490 + 0.781831i) q^{4} +(0.222521 + 0.974928i) q^{5} +2.49532 q^{6} -1.43324 q^{7} +(0.222521 + 0.974928i) q^{8} +(2.01177 - 2.52268i) q^{9} +O(q^{10})$	\(q+(0.900969 + 0.433884i) q^{2} +(2.24821 - 1.08268i) q^{3} +(0.623490 + 0.781831i) q^{4} +(0.222521 + 0.974928i) q^{5} +2.49532 q^{6} -1.43324 q^{7} +(0.222521 + 0.974928i) q^{8} +(2.01177 - 2.52268i) q^{9} +(-0.222521 + 0.974928i) q^{10} +(2.85047 - 3.57437i) q^{11} +(2.24821 + 1.08268i) q^{12} +(-0.610100 - 2.67302i) q^{13} +(-1.29131 - 0.621861i) q^{14} +(1.55581 + 1.95092i) q^{15} +(-0.222521 + 0.974928i) q^{16} +(-1.47313 + 6.45419i) q^{17} +(2.90709 - 1.39998i) q^{18} +(0.511045 + 0.640830i) q^{19} +(-0.623490 + 0.781831i) q^{20} +(-3.22223 + 1.55174i) q^{21} +(4.11904 - 1.98363i) q^{22} +(-1.98407 + 2.48794i) q^{23} +(1.55581 + 1.95092i) q^{24} +(-0.900969 + 0.433884i) q^{25} +(0.610100 - 2.67302i) q^{26} +(0.125837 - 0.551327i) q^{27} +(-0.893613 - 1.12056i) q^{28} +(-2.44881 - 1.17928i) q^{29} +(0.555261 + 2.43276i) q^{30} +(-2.81280 - 1.35457i) q^{31} +(-0.623490 + 0.781831i) q^{32} +(2.53854 - 11.1221i) q^{33} +(-4.12761 + 5.17586i) q^{34} +(-0.318927 - 1.39731i) q^{35} +3.22663 q^{36} -0.577412 q^{37} +(0.182390 + 0.799102i) q^{38} +(-4.26566 - 5.34896i) q^{39} +(-0.900969 + 0.433884i) q^{40} +(-5.22644 - 2.51692i) q^{41} -3.57640 q^{42} +(4.73725 - 4.53414i) q^{43} +4.57179 q^{44} +(2.90709 + 1.39998i) q^{45} +(-2.86706 + 1.38070i) q^{46} +(-3.64244 - 4.56748i) q^{47} +(0.555261 + 2.43276i) q^{48} -4.94581 q^{49} -1.00000 q^{50} +(3.67593 + 16.1053i) q^{51} +(1.70946 - 2.14360i) q^{52} +(-0.518094 + 2.26992i) q^{53} +(0.352587 - 0.442130i) q^{54} +(4.11904 + 1.98363i) q^{55} +(-0.318927 - 1.39731i) q^{56} +(1.84275 + 0.887421i) q^{57} +(-1.69463 - 2.12500i) q^{58} +(0.281877 - 1.23498i) q^{59} +(-0.555261 + 2.43276i) q^{60} +(-1.08174 + 0.520938i) q^{61} +(-1.94652 - 2.44086i) q^{62} +(-2.88336 + 3.61561i) q^{63} +(-0.900969 + 0.433884i) q^{64} +(2.47024 - 1.18961i) q^{65} +(7.11283 - 8.91921i) q^{66} +(4.79404 + 6.01153i) q^{67} +(-5.96457 + 2.87239i) q^{68} +(-1.76695 + 7.74152i) q^{69} +(0.318927 - 1.39731i) q^{70} +(0.748242 + 0.938265i) q^{71} +(2.90709 + 1.39998i) q^{72} +(-1.47398 - 6.45792i) q^{73} +(-0.520230 - 0.250529i) q^{74} +(-1.55581 + 1.95092i) q^{75} +(-0.182390 + 0.799102i) q^{76} +(-4.08541 + 5.12295i) q^{77} +(-1.52239 - 6.67005i) q^{78} -15.0460 q^{79} -1.00000 q^{80} +(1.83997 + 8.06145i) q^{81} +(-3.61681 - 4.53533i) q^{82} +(12.8390 - 6.18292i) q^{83} +(-3.22223 - 1.55174i) q^{84} -6.62017 q^{85} +(6.23541 - 2.02970i) q^{86} -6.78222 q^{87} +(4.11904 + 1.98363i) q^{88} +(12.8354 - 6.18120i) q^{89} +(2.01177 + 2.52268i) q^{90} +(0.874422 + 3.83109i) q^{91} -3.18220 q^{92} -7.79032 q^{93} +(-1.29997 - 5.69555i) q^{94} +(-0.511045 + 0.640830i) q^{95} +(-0.555261 + 2.43276i) q^{96} +(-10.3386 + 12.9642i) q^{97} +(-4.45602 - 2.14591i) q^{98} +(-3.28251 - 14.3816i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 24 q + 4 q^{2} + 2 q^{3} - 4 q^{4} + 4 q^{5} + 12 q^{6} - 2 q^{7} + 4 q^{8} - 4 q^{9}+O(q^{10}) $ 24 * q + 4 * q^2 + 2 * q^3 - 4 * q^4 + 4 * q^5 + 12 * q^6 - 2 * q^7 + 4 * q^8 - 4 * q^9	\( 24 q + 4 q^{2} + 2 q^{3} - 4 q^{4} + 4 q^{5} + 12 q^{6} - 2 q^{7} + 4 q^{8} - 4 q^{9} - 4 q^{10} - 9 q^{11} + 2 q^{12} - 2 q^{13} - 5 q^{14} - 2 q^{15} - 4 q^{16} + 13 q^{17} - 10 q^{18} - 3 q^{19} + 4 q^{20} - 14 q^{21} - 5 q^{22} + 11 q^{23} - 2 q^{24} - 4 q^{25} + 2 q^{26} - 13 q^{27} + 5 q^{28} + 20 q^{29} + 2 q^{30} - 5 q^{31} + 4 q^{32} + 15 q^{33} + q^{34} + 9 q^{35} + 24 q^{36} - 38 q^{37} - 18 q^{38} + 5 q^{39} - 4 q^{40} - 2 q^{41} - 14 q^{42} - 2 q^{43} - 2 q^{44} - 10 q^{45} - 4 q^{46} + 10 q^{47} + 2 q^{48} + 50 q^{49} - 24 q^{50} - 42 q^{51} - 2 q^{52} + 22 q^{53} - 29 q^{54} - 5 q^{55} + 9 q^{56} - 67 q^{57} + 22 q^{58} - 44 q^{59} - 2 q^{60} - 26 q^{61} - 2 q^{62} + 37 q^{63} - 4 q^{64} + 2 q^{65} - 8 q^{66} + 37 q^{67} - 15 q^{68} + 88 q^{69} - 9 q^{70} + 19 q^{71} - 10 q^{72} + 22 q^{73} - 4 q^{74} + 2 q^{75} + 18 q^{76} + 28 q^{77} + 23 q^{78} + 30 q^{79} - 24 q^{80} - 26 q^{81} + 37 q^{82} - 11 q^{83} - 14 q^{84} - 6 q^{85} + 16 q^{86} - 26 q^{87} - 5 q^{88} + 30 q^{89} - 4 q^{90} + 36 q^{91} - 10 q^{92} - 98 q^{93} + 4 q^{94} + 3 q^{95} - 2 q^{96} - 39 q^{97} + 41 q^{98} - 31 q^{99}+O(q^{100}) \) 24 * q + 4 * q^2 + 2 * q^3 - 4 * q^4 + 4 * q^5 + 12 * q^6 - 2 * q^7 + 4 * q^8 - 4 * q^9 - 4 * q^10 - 9 * q^11 + 2 * q^12 - 2 * q^13 - 5 * q^14 - 2 * q^15 - 4 * q^16 + 13 * q^17 - 10 * q^18 - 3 * q^19 + 4 * q^20 - 14 * q^21 - 5 * q^22 + 11 * q^23 - 2 * q^24 - 4 * q^25 + 2 * q^26 - 13 * q^27 + 5 * q^28 + 20 * q^29 + 2 * q^30 - 5 * q^31 + 4 * q^32 + 15 * q^33 + q^34 + 9 * q^35 + 24 * q^36 - 38 * q^37 - 18 * q^38 + 5 * q^39 - 4 * q^40 - 2 * q^41 - 14 * q^42 - 2 * q^43 - 2 * q^44 - 10 * q^45 - 4 * q^46 + 10 * q^47 + 2 * q^48 + 50 * q^49 - 24 * q^50 - 42 * q^51 - 2 * q^52 + 22 * q^53 - 29 * q^54 - 5 * q^55 + 9 * q^56 - 67 * q^57 + 22 * q^58 - 44 * q^59 - 2 * q^60 - 26 * q^61 - 2 * q^62 + 37 * q^63 - 4 * q^64 + 2 * q^65 - 8 * q^66 + 37 * q^67 - 15 * q^68 + 88 * q^69 - 9 * q^70 + 19 * q^71 - 10 * q^72 + 22 * q^73 - 4 * q^74 + 2 * q^75 + 18 * q^76 + 28 * q^77 + 23 * q^78 + 30 * q^79 - 24 * q^80 - 26 * q^81 + 37 * q^82 - 11 * q^83 - 14 * q^84 - 6 * q^85 + 16 * q^86 - 26 * q^87 - 5 * q^88 + 30 * q^89 - 4 * q^90 + 36 * q^91 - 10 * q^92 - 98 * q^93 + 4 * q^94 + 3 * q^95 - 2 * q^96 - 39 * q^97 + 41 * q^98 - 31 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/430\mathbb{Z}\right)^\times$.

$n$	$87$	$261$
$\chi(n)$	$1$	$e\left(\frac{6}{7}\right)$

Coefficient data

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

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

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

$2$	0.900969	+	0.433884i	0.637081	+	0.306802i
$2$	0.900969	+	0.433884i	0.637081	+	0.306802i
$3$	2.24821	−	1.08268i	1.29800	−	0.625085i	0.348049	−	0.937476i	$-0.386844\pi$
$3$	2.24821	−	1.08268i	1.29800	−	0.625085i	0.949954	+	0.312391i	$0.101130\pi$
$4$	0.623490	+	0.781831i	0.311745	+	0.390916i
$5$	0.222521	+	0.974928i	0.0995144	+	0.436001i
$5$	0.222521	+	0.974928i	0.0995144	+	0.436001i
$6$	2.49532			1.01871
$7$	−1.43324			−0.541715			−0.270858	−	0.962619i	$-0.587307\pi$
$7$	−1.43324			−0.541715			−0.270858	+	0.962619i	$0.587307\pi$
$8$	0.222521	+	0.974928i	0.0786730	+	0.344689i
$9$	2.01177	−	2.52268i	0.670590	−	0.840893i
$10$	−0.222521	+	0.974928i	−0.0703673	+	0.308299i
$11$	2.85047	−	3.57437i	0.859448	−	1.07771i	−0.136751	−	0.990605i	$-0.543666\pi$
$11$	2.85047	−	3.57437i	0.859448	−	1.07771i	0.996199	−	0.0871083i	$-0.0277626\pi$
$12$	2.24821	+	1.08268i	0.649001	+	0.312543i
$13$	−0.610100	−	2.67302i	−0.169211	−	0.741363i	−0.986315	−	0.164872i	$-0.947279\pi$
$13$	−0.610100	−	2.67302i	−0.169211	−	0.741363i	0.817104	−	0.576491i	$-0.195578\pi$
$14$	−1.29131	−	0.621861i	−0.345117	−	0.166199i
$15$	1.55581	+	1.95092i	0.401708	+	0.503725i
$16$	−0.222521	+	0.974928i	−0.0556302	+	0.243732i
$17$	−1.47313	+	6.45419i	−0.357286	+	1.56537i	0.402638	+	0.915359i	$0.368093\pi$
$17$	−1.47313	+	6.45419i	−0.357286	+	1.56537i	−0.759924	+	0.650012i	$0.774764\pi$
$18$	2.90709	−	1.39998i	0.685208	−	0.329979i
$19$	0.511045	+	0.640830i	0.117242	+	0.147017i	0.836989	−	0.547220i	$-0.184314\pi$
$19$	0.511045	+	0.640830i	0.117242	+	0.147017i	−0.719747	+	0.694236i	$0.755742\pi$
$20$	−0.623490	+	0.781831i	−0.139417	+	0.174823i
$21$	−3.22223	+	1.55174i	−0.703148	+	0.338618i
$22$	4.11904	−	1.98363i	0.878183	−	0.422911i
$23$	−1.98407	+	2.48794i	−0.413707	+	0.518772i	−0.944403	−	0.328790i	$-0.893359\pi$
$23$	−1.98407	+	2.48794i	−0.413707	+	0.518772i	0.530696	+	0.847562i	$0.321931\pi$
$24$	1.55581	+	1.95092i	0.317578	+	0.398230i
$25$	−0.900969	+	0.433884i	−0.180194	+	0.0867767i
$26$	0.610100	−	2.67302i	0.119650	−	0.524223i
$27$	0.125837	−	0.551327i	0.0242173	−	0.106103i
$28$	−0.893613	−	1.12056i	−0.168877	−	0.211765i
$29$	−2.44881	−	1.17928i	−0.454733	−	0.218988i	0.192474	−	0.981302i	$-0.438349\pi$
$29$	−2.44881	−	1.17928i	−0.454733	−	0.218988i	−0.647207	+	0.762314i	$0.724063\pi$
$30$	0.555261	+	2.43276i	0.101376	+	0.444159i
$31$	−2.81280	−	1.35457i	−0.505194	−	0.243289i	0.163886	−	0.986479i	$-0.447597\pi$
$31$	−2.81280	−	1.35457i	−0.505194	−	0.243289i	−0.669080	+	0.743191i	$0.733311\pi$
$32$	−0.623490	+	0.781831i	−0.110218	+	0.138210i
$33$	2.53854	−	11.1221i	0.441903	−	1.93610i
$34$	−4.12761	+	5.17586i	−0.707879	+	0.887653i
$35$	−0.318927	−	1.39731i	−0.0539085	−	0.236188i
$36$	3.22663			0.537771
$37$	−0.577412			−0.0949259			−0.0474629	−	0.998873i	$-0.515114\pi$
$37$	−0.577412			−0.0949259			−0.0474629	+	0.998873i	$0.515114\pi$
$38$	0.182390	+	0.799102i	0.0295876	+	0.129632i
$39$	−4.26566	−	5.34896i	−0.683052	−	0.856520i
$40$	−0.900969	+	0.433884i	−0.142456	+	0.0686030i
$41$	−5.22644	−	2.51692i	−0.816232	−	0.393077i	−0.0212986	−	0.999773i	$-0.506780\pi$
$41$	−5.22644	−	2.51692i	−0.816232	−	0.393077i	−0.794934	+	0.606696i	$0.792494\pi$
$42$	−3.57640			−0.551851
$43$	4.73725	−	4.53414i	0.722425	−	0.691450i
$43$	4.73725	−	4.53414i	0.722425	−	0.691450i
$44$	4.57179			0.689224
$45$	2.90709	+	1.39998i	0.433363	+	0.208697i
$46$	−2.86706	+	1.38070i	−0.422725	+	0.203574i
$47$	−3.64244	−	4.56748i	−0.531305	−	0.666235i	0.441661	−	0.897182i	$-0.354389\pi$
$47$	−3.64244	−	4.56748i	−0.531305	−	0.666235i	−0.972966	+	0.230946i	$0.925818\pi$
$48$	0.555261	+	2.43276i	0.0801450	+	0.351138i
$49$	−4.94581			−0.706544
$50$	−1.00000			−0.141421
$51$	3.67593	+	16.1053i	0.514733	+	2.25519i
$52$	1.70946	−	2.14360i	0.237060	−	0.297263i
$53$	−0.518094	+	2.26992i	−0.0711656	+	0.311797i	−0.997965	−	0.0637591i	$-0.979691\pi$
$53$	−0.518094	+	2.26992i	−0.0711656	+	0.311797i	0.926800	+	0.375556i	$0.122548\pi$
$54$	0.352587	−	0.442130i	0.0479810	−	0.0601663i
$55$	4.11904	+	1.98363i	0.555412	+	0.267472i
$56$	−0.318927	−	1.39731i	−0.0426184	−	0.186723i
$57$	1.84275	+	0.887421i	0.244078	+	0.117542i
$58$	−1.69463	−	2.12500i	−0.222516	−	0.279026i
$59$	0.281877	−	1.23498i	0.0366973	−	0.160781i	−0.953259	−	0.302154i	$-0.902294\pi$
$59$	0.281877	−	1.23498i	0.0366973	−	0.160781i	0.989956	+	0.141373i	$0.0451515\pi$
$60$	−0.555261	+	2.43276i	−0.0716839	+	0.314068i
$61$	−1.08174	+	0.520938i	−0.138502	+	0.0666992i	−0.501851	−	0.864954i	$-0.667348\pi$
$61$	−1.08174	+	0.520938i	−0.138502	+	0.0666992i	0.363349	+	0.931653i	$0.381633\pi$
$62$	−1.94652	−	2.44086i	−0.247208	−	0.309989i
$63$	−2.88336	+	3.61561i	−0.363269	+	0.455525i
$64$	−0.900969	+	0.433884i	−0.112621	+	0.0542355i
$65$	2.47024	−	1.18961i	0.306396	−	0.147553i
$66$	7.11283	−	8.91921i	0.875529	−	1.09788i
$67$	4.79404	+	6.01153i	0.585685	+	0.734426i	0.983071	−	0.183226i	$-0.0586540\pi$
$67$	4.79404	+	6.01153i	0.585685	+	0.734426i	−0.397386	+	0.917652i	$0.630083\pi$
$68$	−5.96457	+	2.87239i	−0.723310	+	0.348328i
$69$	−1.76695	+	7.74152i	−0.212716	+	0.931970i
$70$	0.318927	−	1.39731i	0.0381190	−	0.167010i
$71$	0.748242	+	0.938265i	0.0888000	+	0.111352i	0.824247	−	0.566231i	$-0.191599\pi$
$71$	0.748242	+	0.938265i	0.0888000	+	0.111352i	−0.735447	+	0.677583i	$0.763028\pi$
$72$	2.90709	+	1.39998i	0.342604	+	0.164989i
$73$	−1.47398	−	6.45792i	−0.172516	−	0.755843i	−0.984957	−	0.172799i	$-0.944719\pi$
$73$	−1.47398	−	6.45792i	−0.172516	−	0.755843i	0.812441	−	0.583044i	$-0.198138\pi$
$74$	−0.520230	−	0.250529i	−0.0604755	−	0.0291235i
$75$	−1.55581	+	1.95092i	−0.179649	+	0.225273i
$76$	−0.182390	+	0.799102i	−0.0209216	+	0.0916633i
$77$	−4.08541	+	5.12295i	−0.465576	+	0.583814i
$78$	−1.52239	−	6.67005i	−0.172377	−	0.755234i
$79$	−15.0460			−1.69281			−0.846405	−	0.532540i	$-0.821238\pi$
$79$	−15.0460			−1.69281			−0.846405	+	0.532540i	$0.821238\pi$
$80$	−1.00000			−0.111803
$81$	1.83997	+	8.06145i	0.204441	+	0.895716i
$82$	−3.61681	−	4.53533i	−0.399409	−	0.500844i
$83$	12.8390	−	6.18292i	1.40926	−	0.678664i	0.434243	−	0.900796i	$-0.357016\pi$
$83$	12.8390	−	6.18292i	1.40926	−	0.678664i	0.975017	+	0.222132i	$0.0713015\pi$
$84$	−3.22223	−	1.55174i	−0.351574	−	0.169309i
$85$	−6.62017			−0.718059
$86$	6.23541	−	2.02970i	0.672381	−	0.218868i
$87$	−6.78222			−0.727130
$88$	4.11904	+	1.98363i	0.439092	+	0.211455i
$89$	12.8354	−	6.18120i	1.36055	−	0.655205i	0.395789	−	0.918341i	$-0.370471\pi$
$89$	12.8354	−	6.18120i	1.36055	−	0.655205i	0.964759	+	0.263136i	$0.0847567\pi$
$90$	2.01177	+	2.52268i	0.212059	+	0.265914i
$91$	0.874422	+	3.83109i	0.0916643	+	0.401608i
$92$	−3.18220			−0.331767
$93$	−7.79032			−0.807819
$94$	−1.29997	−	5.69555i	−0.134082	−	0.587452i
$95$	−0.511045	+	0.640830i	−0.0524321	+	0.0657478i
$96$	−0.555261	+	2.43276i	−0.0566711	+	0.248292i
$97$	−10.3386	+	12.9642i	−1.04973	+	1.31632i	−0.102863	+	0.994696i	$0.532800\pi$
$97$	−10.3386	+	12.9642i	−1.04973	+	1.31632i	−0.946867	+	0.321624i	$0.895771\pi$
$98$	−4.45602	−	2.14591i	−0.450126	−	0.216769i
$99$	−3.28251	−	14.3816i	−0.329905	−	1.44541i
$100$	−0.900969	−	0.433884i	−0.0900969	−	0.0433884i
$101$	2.01150	+	2.52235i	0.200152	+	0.250983i	0.871771	−	0.489914i	$-0.162972\pi$
$101$	2.01150	+	2.52235i	0.200152	+	0.250983i	−0.671618	+	0.740897i	$0.734401\pi$
$102$	−3.67593	+	16.1053i	−0.363971	+	1.59466i
$103$	−2.47825	+	10.8579i	−0.244189	+	1.06986i	0.692971	+	0.720965i	$0.256301\pi$
$103$	−2.47825	+	10.8579i	−0.244189	+	1.06986i	−0.937161	+	0.348898i	$0.886556\pi$
$104$	2.47024	−	1.18961i	0.242227	−	0.116651i
$105$	−2.22985	−	2.79615i	−0.217611	−	0.272876i
$106$	−1.45167	+	1.82033i	−0.140998	+	0.176806i
$107$	16.4384	−	7.91633i	1.58916	−	0.765300i	0.590047	−	0.807369i	$-0.299109\pi$
$107$	16.4384	−	7.91633i	1.58916	−	0.765300i	0.999115	+	0.0420684i	$0.0133947\pi$
$108$	0.509503	−	0.245364i	0.0490270	−	0.0236101i
$109$	6.68203	−	8.37900i	0.640023	−	0.802563i	−0.350983	−	0.936382i	$-0.614153\pi$
$109$	6.68203	−	8.37900i	0.640023	−	0.802563i	0.991006	+	0.133819i	$0.0427240\pi$
$110$	2.85047	+	3.57437i	0.271781	+	0.340803i
$111$	−1.29814	+	0.625151i	−0.123214	+	0.0593368i
$112$	0.318927	−	1.39731i	0.0301358	−	0.132033i
$113$	−1.19015	+	5.21441i	−0.111960	+	0.490530i	0.887593	+	0.460629i	$0.152376\pi$
$113$	−1.19015	+	5.21441i	−0.111960	+	0.490530i	−0.999553	+	0.0299008i	$0.990481\pi$
$114$	1.27522	+	1.59908i	0.119435	+	0.149767i
$115$	−2.86706	−	1.38070i	−0.267355	−	0.128751i
$116$	−0.604806	−	2.64983i	−0.0561548	−	0.246030i
$117$	−7.97055	−	3.83842i	−0.736878	−	0.354862i
$118$	0.789802	−	0.990380i	0.0727072	−	0.0911719i
$119$	2.11135	−	9.25043i	0.193547	−	0.847986i
$120$	−1.55581	+	1.95092i	−0.142025	+	0.178094i
$121$	−2.20325	−	9.65305i	−0.200295	−	0.877550i
$122$	−1.20064			−0.108701
$123$	−14.4751			−1.30518
$124$	−0.694704	−	3.04370i	−0.0623863	−	0.273332i
$125$	−0.623490	−	0.781831i	−0.0557666	−	0.0699291i
$126$	−4.16657	+	2.00651i	−0.371188	+	0.178754i
$127$	19.2328	+	9.26205i	1.70664	+	0.821874i	0.992553	+	0.121816i	$0.0388719\pi$
$127$	19.2328	+	9.26205i	1.70664	+	0.821874i	0.714086	+	0.700058i	$0.246842\pi$
$128$	−1.00000			−0.0883883
$129$	5.74131	−	15.3226i	0.505494	−	1.34908i
$130$	2.74176			0.240469
$131$	−0.504952	−	0.243172i	−0.0441179	−	0.0212461i	0.411695	−	0.911322i	$-0.364937\pi$
$131$	−0.504952	−	0.243172i	−0.0441179	−	0.0212461i	−0.455813	+	0.890076i	$0.650651\pi$
$132$	10.2783	−	4.94979i	0.894614	−	0.430824i
$133$	−0.732453	−	0.918466i	−0.0635117	−	0.0796411i
$134$	1.71097	+	7.49626i	0.147806	+	0.647578i
$135$	0.565506			0.0486710
$136$	−6.62017			−0.567675
$137$	0.639991	+	2.80398i	0.0546781	+	0.239560i	0.994881	−	0.101055i	$-0.0322218\pi$
$137$	0.639991	+	2.80398i	0.0546781	+	0.239560i	−0.940203	+	0.340615i	$0.889365\pi$
$138$	−4.95089	+	6.20822i	−0.421448	+	0.528479i
$139$	2.86540	−	12.5541i	0.243040	−	1.06483i	−0.695193	−	0.718823i	$-0.744681\pi$
$139$	2.86540	−	12.5541i	0.243040	−	1.06483i	0.938233	−	0.346005i	$-0.112462\pi$
$140$	0.893613	−	1.12056i	0.0755241	−	0.0947042i
$141$	−13.1341	−	6.32504i	−1.10609	−	0.532665i
$142$	0.267044	+	1.17000i	0.0224099	+	0.0981840i
$143$	−11.2934	−	5.43864i	−0.944405	−	0.454802i
$144$	2.01177	+	2.52268i	0.167647	+	0.210223i
$145$	0.604806	−	2.64983i	0.0502264	−	0.220056i
$146$	1.47398	−	6.45792i	0.121987	−	0.534462i
$147$	−11.1192	+	5.35473i	−0.917097	+	0.441650i
$148$	−0.360010	−	0.451439i	−0.0295927	−	0.0371080i
$149$	7.53420	−	9.44759i	0.617226	−	0.773977i	−0.370725	−	0.928743i	$-0.620891\pi$
$149$	7.53420	−	9.44759i	0.617226	−	0.773977i	0.987951	+	0.154766i	$0.0494623\pi$
$150$	−2.24821	+	1.08268i	−0.183565	+	0.0884004i
$151$	−12.1054	+	5.82966i	−0.985124	+	0.474411i	−0.855865	−	0.517200i	$-0.826974\pi$
$151$	−12.1054	+	5.82966i	−0.985124	+	0.474411i	−0.129260	+	0.991611i	$0.541260\pi$
$152$	−0.511045	+	0.640830i	−0.0414512	+	0.0519782i
$153$	13.3183	+	16.7006i	1.07672	+	1.35016i
$154$	−5.90360	+	2.84302i	−0.475725	+	0.229097i
$155$	0.694704	−	3.04370i	0.0558000	−	0.244476i
$156$	1.52239	−	6.67005i	0.121889	−	0.534031i
$157$	−12.1709	−	15.2618i	−0.971345	−	1.21803i	−0.975940	−	0.218038i	$-0.930034\pi$
$157$	−12.1709	−	15.2618i	−0.971345	−	1.21803i	0.00459533	−	0.999989i	$-0.498537\pi$
$158$	−13.5560	−	6.52822i	−1.07846	−	0.519358i
$159$	1.29281	+	5.66417i	0.102526	+	0.449198i
$160$	−0.900969	−	0.433884i	−0.0712278	−	0.0343015i
$161$	2.84366	−	3.56583i	0.224111	−	0.281027i
$162$	−1.83997	+	8.06145i	−0.144562	+	0.633367i
$163$	−11.8019	+	14.7991i	−0.924393	+	1.15915i	0.0625430	+	0.998042i	$0.480079\pi$
$163$	−11.8019	+	14.7991i	−0.924393	+	1.15915i	−0.986936	+	0.161110i	$0.948492\pi$
$164$	−1.29082	−	5.65547i	−0.100796	−	0.441618i
$165$	11.4081			0.888119
$166$	14.2502			1.10603
$167$	5.07334	+	22.2277i	0.392586	+	1.72003i	0.655483	+	0.755210i	$0.272465\pi$
$167$	5.07334	+	22.2277i	0.392586	+	1.72003i	−0.262897	+	0.964824i	$0.584678\pi$
$168$	−2.22985	−	2.79615i	−0.172037	−	0.215727i
$169$	4.93977	−	2.37887i	0.379982	−	0.182990i
$170$	−5.96457	−	2.87239i	−0.457462	−	0.220302i
$171$	2.64471			0.202246
$172$	6.49856	+	0.876745i	0.495511	+	0.0668512i
$173$	0.863998			0.0656885			0.0328443	−	0.999460i	$-0.489543\pi$
$173$	0.863998			0.0656885			0.0328443	+	0.999460i	$0.489543\pi$
$174$	−6.11057	−	2.94269i	−0.463241	−	0.223085i
$175$	1.29131	−	0.621861i	0.0976137	−	0.0470083i
$176$	2.85047	+	3.57437i	0.214862	+	0.269428i
$177$	−0.703374	−	3.08168i	−0.0528688	−	0.231633i
$178$	14.2462			1.06780
$179$	8.23430			0.615460			0.307730	−	0.951474i	$-0.400431\pi$
$179$	8.23430			0.615460			0.307730	+	0.951474i	$0.400431\pi$
$180$	0.717992	+	3.14573i	0.0535160	+	0.234469i
$181$	2.58626	−	3.24307i	0.192235	−	0.241055i	−0.676368	−	0.736564i	$-0.736447\pi$
$181$	2.58626	−	3.24307i	0.192235	−	0.241055i	0.868603	+	0.495509i	$0.165018\pi$
$182$	−0.874422	+	3.83109i	−0.0648165	+	0.283980i
$183$	−1.86796	+	2.34235i	−0.138084	+	0.173152i
$184$	−2.86706	−	1.38070i	−0.211363	−	0.101787i
$185$	−0.128486	−	0.562935i	−0.00944649	−	0.0413878i
$186$	−7.01884	−	3.38009i	−0.514646	−	0.247841i
$187$	18.8706	+	23.6630i	1.37995	+	1.73041i
$188$	1.29997	−	5.69555i	0.0948103	−	0.415391i
$189$	−0.180355	+	0.790187i	−0.0131189	+	0.0574776i
$190$	−0.738482	+	0.355634i	−0.0535751	+	0.0258004i
$191$	−9.74467	−	12.2194i	−0.705100	−	0.884167i	0.292293	−	0.956329i	$-0.405582\pi$
$191$	−9.74467	−	12.2194i	−0.705100	−	0.884167i	−0.997393	+	0.0721617i	$0.977010\pi$
$192$	−1.55581	+	1.95092i	−0.112281	+	0.140796i
$193$	12.7072	−	6.11948i	0.914687	−	0.440490i	0.0835154	−	0.996506i	$-0.473385\pi$
$193$	12.7072	−	6.11948i	0.914687	−	0.440490i	0.831171	+	0.556017i	$0.187671\pi$
$194$	−14.9398	+	7.19461i	−1.07261	+	0.516543i
$195$	4.26566	−	5.34896i	0.305470	−	0.383047i
$196$	−3.08366	−	3.86679i	−0.220262	−	0.276199i
$197$	14.7562	−	7.10623i	1.05134	−	0.506298i	0.173291	−	0.984871i	$-0.444560\pi$
$197$	14.7562	−	7.10623i	1.05134	−	0.506298i	0.878048	+	0.478572i	$0.158846\pi$
$198$	3.28251	−	14.3816i	0.233278	−	1.02206i
$199$	−2.03770	+	8.92775i	−0.144449	+	0.632872i	0.849921	+	0.526910i	$0.176649\pi$
$199$	−2.03770	+	8.92775i	−0.144449	+	0.632872i	−0.994370	+	0.105962i	$0.966208\pi$
$200$	−0.623490	−	0.781831i	−0.0440874	−	0.0552838i
$201$	17.2865	+	8.32476i	1.21930	+	0.587184i
$202$	0.717898	+	3.14532i	0.0505111	+	0.221304i
$203$	3.50974	+	1.69020i	0.246336	+	0.118629i
$204$	−10.2997	+	12.9154i	−0.721124	+	0.904261i
$205$	1.29082	−	5.65547i	0.0901550	−	0.394995i
$206$	−6.94390	+	8.70738i	−0.483805	+	0.606672i
$207$	2.28479	+	10.0103i	0.158804	+	0.695766i
$208$	2.74176			0.190107
$209$	3.74728			0.259205
$210$	−0.795825	−	3.48674i	−0.0549171	−	0.240608i
$211$	5.00913	+	6.28125i	0.344843	+	0.432419i	0.923763	−	0.382965i	$-0.125097\pi$
$211$	5.00913	+	6.28125i	0.344843	+	0.432419i	−0.578920	+	0.815384i	$0.696526\pi$
$212$	−2.09772	+	1.01021i	−0.144072	+	0.0693813i
$213$	2.69804	+	1.29931i	0.184867	+	0.0890272i
$214$	18.2453			1.24722
$215$	5.47460	+	3.60954i	0.373364	+	0.246169i
$216$	0.565506			0.0384778
$217$	4.03143	+	1.94143i	0.273671	+	0.131793i
$218$	9.65582	−	4.65000i	0.653974	−	0.314938i
$219$	−10.3057	−	12.9229i	−0.696393	−	0.873249i
$220$	1.01732	+	4.45717i	0.0685877	+	0.300502i
$221$	18.1510			1.22097
$222$	−1.44083			−0.0967020
$223$	5.35833	+	23.4764i	0.358820	+	1.57210i	0.756137	+	0.654413i	$0.227084\pi$
$223$	5.35833	+	23.4764i	0.358820	+	1.57210i	−0.397316	+	0.917682i	$0.630058\pi$
$224$	0.893613	−	1.12056i	0.0597070	−	0.0748703i
$225$	−0.717992	+	3.14573i	−0.0478661	+	0.209715i
$226$	−3.33474	+	4.18163i	−0.221824	+	0.278158i
$227$	21.2253	+	10.2215i	1.40877	+	0.678428i	0.974920	−	0.222557i	$-0.0714403\pi$
$227$	21.2253	+	10.2215i	1.40877	+	0.678428i	0.433850	+	0.900985i	$0.357155\pi$
$228$	0.455121	+	1.99402i	0.0301412	+	0.132057i
$229$	−6.32366	−	3.04531i	−0.417879	−	0.201240i	0.213116	−	0.977027i	$-0.431639\pi$
$229$	−6.32366	−	3.04531i	−0.417879	−	0.201240i	−0.630995	+	0.775787i	$0.717353\pi$
$230$	−1.98407	−	2.48794i	−0.130826	−	0.164050i
$231$	−3.63835	+	15.9406i	−0.239386	+	1.04882i
$232$	0.604806	−	2.64983i	0.0397075	−	0.173970i
$233$	−7.70304	+	3.70959i	−0.504643	+	0.243023i	−0.668843	−	0.743404i	$-0.733210\pi$
$233$	−7.70304	+	3.70959i	−0.504643	+	0.243023i	0.164200	+	0.986427i	$0.447496\pi$
$234$	−5.51579	−	6.91659i	−0.360579	−	0.452151i
$235$	3.64244	−	4.56748i	0.237607	−	0.297950i
$236$	1.14130	−	0.549620i	0.0742921	−	0.0357772i
$237$	−33.8266	+	16.2900i	−2.19727	+	1.05815i
$238$	5.91587	−	7.41827i	0.383469	−	0.480855i
$239$	17.3146	+	21.7118i	1.11999	+	1.40442i	0.903739	+	0.428084i	$0.140811\pi$
$239$	17.3146	+	21.7118i	1.11999	+	1.40442i	0.216250	+	0.976338i	$0.430617\pi$
$240$	−2.24821	+	1.08268i	−0.145121	+	0.0698866i
$241$	3.61664	−	15.8455i	0.232968	−	1.02070i	−0.714195	−	0.699947i	$-0.753207\pi$
$241$	3.61664	−	15.8455i	0.232968	−	1.02070i	0.947163	−	0.320753i	$-0.103936\pi$
$242$	2.20325	−	9.65305i	0.141630	−	0.620522i
$243$	13.9224	+	17.4581i	0.893120	+	1.11994i
$244$	−1.08174	−	0.520938i	−0.0692512	−	0.0333496i
$245$	−1.10055	−	4.82181i	−0.0703113	−	0.308054i
$246$	−13.0416	−	6.28052i	−0.831504	−	0.400431i
$247$	1.40117	−	1.75701i	0.0891540	−	0.111796i
$248$	0.694704	−	3.04370i	0.0441138	−	0.193275i
$249$	22.1705	−	27.8010i	1.40500	−	1.76181i
$250$	−0.222521	−	0.974928i	−0.0140735	−	0.0616599i
$251$	−3.84601			−0.242758			−0.121379	−	0.992606i	$-0.538732\pi$
$251$	−3.84601			−0.242758			−0.121379	+	0.992606i	$0.538732\pi$
$252$	−4.62454			−0.291319
$253$	3.23732	+	14.1836i	0.203528	+	0.891716i
$254$	13.3095	+	16.6896i	0.835115	+	1.04720i
$255$	−14.8835	+	7.16752i	−0.932042	+	0.448848i
$256$	−0.900969	−	0.433884i	−0.0563106	−	0.0271177i
$257$	2.58713			0.161381			0.0806905	−	0.996739i	$-0.474287\pi$
$257$	2.58713			0.161381			0.0806905	+	0.996739i	$0.474287\pi$
$258$	11.8210	−	11.3141i	0.735941	−	0.704387i
$259$	0.827572			0.0514228
$260$	2.47024	+	1.18961i	0.153198	+	0.0737763i
$261$	−7.90140	+	3.80511i	−0.489084	+	0.235531i
$262$	−0.349438	−	0.438181i	−0.0215883	−	0.0270709i
$263$	−6.26903	−	27.4664i	−0.386565	−	1.69365i	−0.676367	−	0.736565i	$-0.736447\pi$
$263$	−6.26903	−	27.4664i	−0.386565	−	1.69365i	0.289802	−	0.957086i	$-0.406410\pi$
$264$	11.4081			0.702120
$265$	−2.32829			−0.143026
$266$	−0.261409	−	1.14531i	−0.0160280	−	0.0702234i
$267$	22.1643	−	27.7932i	1.35644	−	1.70092i
$268$	−1.71097	+	7.49626i	−0.104514	+	0.457907i
$269$	1.80704	−	2.26596i	0.110177	−	0.138158i	−0.723685	−	0.690130i	$-0.757553\pi$
$269$	1.80704	−	2.26596i	0.110177	−	0.138158i	0.833862	+	0.551972i	$0.186125\pi$
$270$	0.509503	+	0.245364i	0.0310074	+	0.0149324i
$271$	−0.768164	−	3.36555i	−0.0466626	−	0.204442i	0.946223	−	0.323516i	$-0.104865\pi$
$271$	−0.768164	−	3.36555i	−0.0466626	−	0.204442i	−0.992885	+	0.119073i	$0.962008\pi$
$272$	−5.96457	−	2.87239i	−0.361655	−	0.174164i
$273$	6.11373	+	7.66637i	0.370020	+	0.463990i
$274$	−0.639991	+	2.80398i	−0.0386633	+	0.169395i
$275$	−1.01732	+	4.45717i	−0.0613467	+	0.268777i
$276$	−7.15424	+	3.44530i	−0.430635	+	0.207383i
$277$	−9.00151	−	11.2875i	−0.540849	−	0.678203i	0.434041	−	0.900893i	$-0.357087\pi$
$277$	−9.00151	−	11.2875i	−0.540849	−	0.678203i	−0.974889	+	0.222691i	$0.928516\pi$
$278$	8.02867	−	10.0676i	0.481528	−	0.603817i
$279$	−9.07585	+	4.37070i	−0.543357	+	0.261667i
$280$	1.29131	−	0.621861i	0.0771704	−	0.0371633i
$281$	13.1878	−	16.5370i	0.786721	−	0.986517i	−0.213234	−	0.977001i	$-0.568400\pi$
$281$	13.1878	−	16.5370i	0.786721	−	0.986517i	0.999955	−	0.00951581i	$-0.00302902\pi$
$282$	−9.08907	−	11.3973i	−0.541246	−	0.678701i
$283$	−19.3651	+	9.32573i	−1.15113	+	0.554357i	−0.909374	−	0.415979i	$-0.863439\pi$
$283$	−19.3651	+	9.32573i	−1.15113	+	0.554357i	−0.241760	+	0.970336i	$0.577725\pi$
$284$	−0.267044	+	1.17000i	−0.0158462	+	0.0694266i
$285$	−0.455121	+	1.99402i	−0.0269591	+	0.118115i
$286$	−7.81531	−	9.80008i	−0.462129	−	0.579491i
$287$	7.49076	+	3.60736i	0.442166	+	0.212936i
$288$	0.717992	+	3.14573i	0.0423081	+	0.185364i
$289$	−24.1700	−	11.6397i	−1.42177	−	0.684687i
$290$	1.69463	−	2.12500i	0.0995121	−	0.124784i
$291$	−9.20728	+	40.3397i	−0.539740	+	2.36476i
$292$	4.13000	−	5.17885i	0.241690	−	0.303069i
$293$	−5.40510	−	23.6813i	−0.315769	−	1.38348i	−0.844895	−	0.534932i	$-0.820337\pi$
$293$	−5.40510	−	23.6813i	−0.315769	−	1.38348i	0.529125	−	0.848544i	$-0.322520\pi$
$294$	−12.3414			−0.719764
$295$	1.26674			0.0737527
$296$	−0.128486	−	0.562935i	−0.00746811	−	0.0327199i
$297$	−1.61196	−	2.02133i	−0.0935352	−	0.117289i
$298$	10.8872	−	5.24302i	0.630681	−	0.303720i
$299$	7.86081	+	3.78557i	0.454602	+	0.218925i
$300$	−2.49532			−0.144067
$301$	−6.78964	+	6.49853i	−0.391348	+	0.374569i
$302$	−13.4360			−0.773154
$303$	7.25317	+	3.49294i	0.416684	+	0.200664i
$304$	−0.738482	+	0.355634i	−0.0423548	+	0.0203970i
$305$	−0.748586	−	0.938697i	−0.0428639	−	0.0537497i
$306$	4.75323	+	20.8253i	0.271724	+	1.19050i
$307$	−12.3787			−0.706492			−0.353246	−	0.935530i	$-0.614922\pi$
$307$	−12.3787			−0.706492			−0.353246	+	0.935530i	$0.614922\pi$
$308$	−6.55250			−0.373363
$309$	6.18403	+	27.0940i	0.351797	+	1.54132i
$310$	1.94652	−	2.44086i	0.110555	−	0.138631i
$311$	2.28548	−	10.0133i	0.129598	−	0.567804i	−0.867877	−	0.496779i	$-0.834516\pi$
$311$	2.28548	−	10.0133i	0.129598	−	0.567804i	0.997475	−	0.0710251i	$-0.0226270\pi$
$312$	4.26566	−	5.34896i	0.241495	−	0.302825i
$313$	4.21971	+	2.03211i	0.238512	+	0.114861i	0.549322	−	0.835611i	$-0.314886\pi$
$313$	4.21971	+	2.03211i	0.238512	+	0.114861i	−0.310810	+	0.950472i	$0.600600\pi$
$314$	−4.34375	−	19.0312i	−0.245132	−	1.07399i
$315$	−4.16657	−	2.00651i	−0.234760	−	0.113054i
$316$	−9.38104	−	11.7635i	−0.527725	−	0.661746i
$317$	3.96420	−	17.3683i	0.222651	−	0.975500i	−0.732822	−	0.680421i	$-0.761797\pi$
$317$	3.96420	−	17.3683i	0.222651	−	0.975500i	0.955473	−	0.295079i	$-0.0953459\pi$
$318$	−1.29281	+	5.66417i	−0.0724972	+	0.317631i
$319$	−11.1955	+	5.39145i	−0.626825	+	0.301863i
$320$	−0.623490	−	0.781831i	−0.0348541	−	0.0437057i
$321$	28.3861	−	35.5951i	1.58436	−	1.98672i
$322$	4.10920	−	1.97889i	0.228997	−	0.110279i
$323$	−4.88888	+	2.35436i	−0.272024	+	0.131000i
$324$	−5.15549	+	6.46478i	−0.286416	+	0.359154i
$325$	1.70946	+	2.14360i	0.0948239	+	0.118905i
$326$	−17.0542	+	8.21286i	−0.944544	+	0.454868i
$327$	5.95082	−	26.0722i	0.329081	−	1.44180i
$328$	1.29082	−	5.65547i	0.0712738	−	0.312271i
$329$	5.22051	+	6.54631i	0.287816	+	0.360910i
$330$	10.2783	+	4.94979i	0.565804	+	0.272477i
$331$	−6.79793	−	29.7837i	−0.373648	−	1.63706i	−0.716440	−	0.697649i	$-0.754230\pi$
$331$	−6.79793	−	29.7837i	−0.373648	−	1.63706i	0.342792	−	0.939411i	$-0.388627\pi$
$332$	12.8390	+	6.18292i	0.704630	+	0.339332i
$333$	−1.16162	+	1.45662i	−0.0636563	+	0.0798225i
$334$	−5.07334	+	22.2277i	−0.277601	+	1.21625i
$335$	−4.79404	+	6.01153i	−0.261926	+	0.328445i
$336$	−0.795825	−	3.48674i	−0.0434158	−	0.190217i
$337$	−28.6782			−1.56220			−0.781101	−	0.624404i	$-0.785342\pi$
$337$	−28.6782			−1.56220			−0.781101	+	0.624404i	$0.785342\pi$
$338$	5.48273			0.298221
$339$	2.96982	+	13.0116i	0.161298	+	0.706694i
$340$	−4.12761	−	5.17586i	−0.223851	−	0.280700i
$341$	−12.8595	+	6.19283i	−0.696383	+	0.335360i
$342$	2.38280	+	1.14750i	0.128847	+	0.0620496i
$343$	17.1213			0.924461
$344$	5.47460	+	3.60954i	0.295171	+	0.194613i
$345$	−7.94061			−0.427508
$346$	0.778435	+	0.374875i	0.0418489	+	0.0201534i
$347$	−8.36864	+	4.03012i	−0.449252	+	0.216348i	−0.644809	−	0.764344i	$-0.723063\pi$
$347$	−8.36864	+	4.03012i	−0.449252	+	0.216348i	0.195557	+	0.980692i	$0.437349\pi$
$348$	−4.22864	−	5.30255i	−0.226679	−	0.284247i
$349$	7.11490	+	31.1724i	0.380852	+	1.66862i	0.694817	+	0.719187i	$0.255485\pi$
$349$	7.11490	+	31.1724i	0.380852	+	1.66862i	−0.313965	+	0.949434i	$0.601658\pi$
$350$	1.43324			0.0766101
$351$	−1.55048			−0.0827587
$352$	1.01732	+	4.45717i	0.0542233	+	0.237568i
$353$	−11.7327	+	14.7124i	−0.624471	+	0.783062i	−0.988966	−	0.148143i	$-0.952670\pi$
$353$	−11.7327	+	14.7124i	−0.624471	+	0.783062i	0.364495	+	0.931205i	$0.381242\pi$
$354$	0.703374	−	3.08168i	0.0373839	−	0.163790i
$355$	−0.748242	+	0.938265i	−0.0397125	+	0.0497980i
$356$	12.8354	+	6.18120i	0.680274	+	0.327603i
$357$	−5.26850	−	23.0828i	−0.278839	−	1.22167i
$358$	7.41884	+	3.57273i	0.392098	+	0.188824i
$359$	2.73186	+	3.42564i	0.144182	+	0.180798i	0.848679	−	0.528909i	$-0.177399\pi$
$359$	2.73186	+	3.42564i	0.144182	+	0.180798i	−0.704497	+	0.709707i	$0.748827\pi$
$360$	−0.717992	+	3.14573i	−0.0378415	+	0.165794i
$361$	4.07840	−	17.8686i	0.214653	−	0.940455i
$362$	3.73725	−	1.79977i	0.196426	−	0.0945936i
$363$	−15.4045	−	19.3166i	−0.808527	−	1.01386i
$364$	−2.45008	+	3.07230i	−0.128419	+	0.161032i
$365$	5.96802	−	2.87405i	0.312380	−	0.150434i
$366$	−2.69928	+	1.29991i	−0.141094	+	0.0679472i
$367$	8.00623	−	10.0395i	0.417922	−	0.524057i	−0.527654	−	0.849459i	$-0.676928\pi$
$367$	8.00623	−	10.0395i	0.417922	−	0.524057i	0.945576	+	0.325402i	$0.105500\pi$
$368$	−1.98407	−	2.48794i	−0.103427	−	0.129693i
$369$	−16.8638	+	8.12116i	−0.877892	+	0.422771i
$370$	0.128486	−	0.562935i	0.00667968	−	0.0292656i
$371$	0.742555	−	3.25334i	0.0385515	−	0.168905i
$372$	−4.85719	−	6.09072i	−0.251833	−	0.315789i
$373$	4.22053	+	2.03250i	0.218531	+	0.105239i	0.539947	−	0.841699i	$-0.318444\pi$
$373$	4.22053	+	2.03250i	0.218531	+	0.105239i	−0.321416	+	0.946938i	$0.604159\pi$
$374$	6.73483	+	29.5072i	0.348250	+	1.52578i
$375$	−2.24821	−	1.08268i	−0.116097	−	0.0559093i
$376$	3.64244	−	4.56748i	0.187845	−	0.235550i
$377$	−1.65824	+	7.26520i	−0.0854035	+	0.374177i
$378$	−0.505343	+	0.633681i	−0.0259921	+	0.0325930i
$379$	6.48706	+	28.4217i	0.333218	+	1.45992i	0.812861	+	0.582458i	$0.197909\pi$
$379$	6.48706	+	28.4217i	0.333218	+	1.45992i	−0.479643	+	0.877464i	$0.659234\pi$
$380$	−0.819653			−0.0420473
$381$	53.2672			2.72896
$382$	−3.47783	−	15.2374i	−0.177941	−	0.779612i
$383$	0.594728	+	0.745765i	0.0303892	+	0.0381068i	0.796794	−	0.604251i	$-0.206528\pi$
$383$	0.594728	+	0.745765i	0.0303892	+	0.0381068i	−0.766405	+	0.642358i	$0.777956\pi$
$384$	−2.24821	+	1.08268i	−0.114728	+	0.0552502i
$385$	−5.90360	−	2.84302i	−0.300875	−	0.144894i
$386$	14.1040			0.717873
$387$	−1.90791	−	21.0722i	−0.0969848	−	1.07116i
$388$	−16.5819			−0.841818
$389$	2.76456	+	1.33134i	0.140169	+	0.0675016i	0.502653	−	0.864488i	$-0.332357\pi$
$389$	2.76456	+	1.33134i	0.140169	+	0.0675016i	−0.362485	+	0.931990i	$0.618072\pi$
$390$	6.16405	−	2.96845i	0.312129	−	0.150313i
$391$	−13.1349	−	16.4706i	−0.664260	−	0.832955i
$392$	−1.10055	−	4.82181i	−0.0555860	−	0.243538i
$393$	−1.39851			−0.0705457
$394$	16.3782			0.825122
$395$	−3.34806	−	14.6688i	−0.168459	−	0.738067i
$396$	9.19739	−	11.5332i	0.462186	−	0.579563i
$397$	−5.45972	+	23.9206i	−0.274016	+	1.20054i	0.631211	+	0.775612i	$0.282558\pi$
$397$	−5.45972	+	23.9206i	−0.274016	+	1.20054i	−0.905226	+	0.424930i	$0.860299\pi$
$398$	−5.70951	+	7.15950i	−0.286192	+	0.358873i
$399$	−2.64111	−	1.27189i	−0.132221	−	0.0636742i
$400$	−0.222521	−	0.974928i	−0.0111260	−	0.0487464i
$401$	−17.7867	−	8.56562i	−0.888225	−	0.427747i	−0.0666032	−	0.997780i	$-0.521216\pi$
$401$	−17.7867	−	8.56562i	−0.888225	−	0.427747i	−0.821622	+	0.570033i	$0.806930\pi$
$402$	11.9627	+	15.0007i	0.596643	+	0.748167i
$403$	−1.90471	+	8.34510i	−0.0948806	+	0.415699i
$404$	−0.717898	+	3.14532i	−0.0357168	+	0.156485i
$405$	−7.44990	+	3.58768i	−0.370188	+	0.178273i
$406$	2.42882	+	3.04564i	0.120540	+	0.151153i
$407$	−1.64589	+	2.06388i	−0.0815839	+	0.102303i
$408$	−14.8835	+	7.16752i	−0.736844	+	0.354845i
$409$	−27.7150	+	13.3469i	−1.37042	+	0.659960i	−0.966934	−	0.255026i	$-0.917916\pi$
$409$	−27.7150	+	13.3469i	−1.37042	+	0.659960i	−0.403487	+	0.914986i	$0.632202\pi$
$410$	3.61681	−	4.53533i	0.178621	−	0.223984i
$411$	4.47465	+	5.61103i	0.220718	+	0.276772i
$412$	−10.0342	+	4.83223i	−0.494351	+	0.238067i
$413$	−0.403999	+	1.77003i	−0.0198795	+	0.0870977i
$414$	−2.28479	+	10.0103i	−0.112291	+	0.491981i
$415$	8.88484	+	11.1412i	0.436140	+	0.546902i
$416$	2.47024	+	1.18961i	0.121114	+	0.0583253i
$417$	−7.15009	−	31.3266i	−0.350142	−	1.53407i
$418$	3.37619	+	1.62589i	0.165135	+	0.0795247i
$419$	12.5751	−	15.7687i	0.614335	−	0.770352i	−0.373200	−	0.927751i	$-0.621739\pi$
$419$	12.5751	−	15.7687i	0.614335	−	0.770352i	0.987535	+	0.157399i	$0.0503109\pi$
$420$	0.795825	−	3.48674i	0.0388323	−	0.170135i
$421$	−19.1188	+	23.9742i	−0.931792	+	1.16843i	0.0536737	+	0.998559i	$0.482907\pi$
$421$	−19.1188	+	23.9742i	−0.931792	+	1.16843i	−0.985466	+	0.169872i	$0.945665\pi$
$422$	1.78774	+	7.83259i	0.0870258	+	0.381285i
$423$	−18.8500			−0.916520
$424$	−2.32829			−0.113072
$425$	−1.47313	−	6.45419i	−0.0714572	−	0.313074i
$426$	1.86710	+	2.34127i	0.0904614	+	0.113435i
$427$	1.55040	−	0.746631i	0.0750289	−	0.0361320i
$428$	16.4384	+	7.91633i	0.794581	+	0.382650i
$429$	−31.2783			−1.51013
$430$	3.36632	+	5.62742i	0.162338	+	0.271378i
$431$	−24.9313			−1.20090			−0.600449	−	0.799663i	$-0.705011\pi$
$431$	−24.9313			−1.20090			−0.600449	+	0.799663i	$0.705011\pi$
$432$	0.509503	+	0.245364i	0.0245135	+	0.0118051i
$433$	−6.82898	+	3.28866i	−0.328180	+	0.158043i	−0.590717	−	0.806879i	$-0.701155\pi$
$433$	−6.82898	+	3.28866i	−0.328180	+	0.158043i	0.262537	+	0.964922i	$0.415441\pi$
$434$	2.78984	+	3.49834i	0.133916	+	0.167926i
$435$	−1.50919	−	6.61217i	−0.0723599	−	0.317029i
$436$	10.7171			0.513258
$437$	−2.60830			−0.124772
$438$	−3.67805	−	16.1146i	−0.175744	−	0.769985i
$439$	9.36763	−	11.7466i	0.447092	−	0.560636i	−0.506305	−	0.862355i	$-0.668989\pi$
$439$	9.36763	−	11.7466i	0.447092	−	0.560636i	0.953397	+	0.301718i	$0.0975603\pi$
$440$	−1.01732	+	4.45717i	−0.0484988	+	0.212487i
$441$	−9.94983	+	12.4767i	−0.473801	+	0.594128i
$442$	16.3534	+	7.87540i	0.777854	+	0.374595i
$443$	−3.39258	−	14.8639i	−0.161186	−	0.706203i	−0.989331	−	0.145688i	$-0.953460\pi$
$443$	−3.39258	−	14.8639i	−0.161186	−	0.706203i	0.828144	−	0.560515i	$-0.189397\pi$
$444$	−1.29814	−	0.625151i	−0.0616070	−	0.0296684i
$445$	8.88236	+	11.1381i	0.421064	+	0.527998i
$446$	−5.35833	+	23.4764i	−0.253724	+	1.11164i
$447$	6.70973	−	29.3973i	0.317359	−	1.39044i
$448$	1.29131	−	0.621861i	0.0610086	−	0.0293802i
$449$	−2.97686	−	3.73286i	−0.140487	−	0.176165i	0.706611	−	0.707603i	$-0.250223\pi$
$449$	−2.97686	−	3.73286i	−0.140487	−	0.176165i	−0.847097	+	0.531438i	$0.821652\pi$
$450$	−2.01177	+	2.52268i	−0.0948357	+	0.118920i
$451$	−23.8942	+	11.5068i	−1.12513	+	0.541836i
$452$	−4.81884	+	2.32063i	−0.226659	+	0.109153i
$453$	−20.9038	+	26.2125i	−0.982147	+	1.23157i
$454$	14.6883	+	18.4186i	0.689358	+	0.864427i
$455$	−3.54046	+	1.70500i	−0.165979	+	0.0799315i
$456$	−0.455121	+	1.99402i	−0.0213130	+	0.0933784i
$457$	4.18318	−	18.3277i	0.195681	−	0.857335i	−0.777790	−	0.628524i	$-0.783659\pi$
$457$	4.18318	−	18.3277i	0.195681	−	0.857335i	0.973471	−	0.228810i	$-0.0734836\pi$
$458$	−4.37611	−	5.48746i	−0.204482	−	0.256412i
$459$	3.37300	+	1.62435i	0.157438	+	0.0758182i
$460$	−0.708106	−	3.10242i	−0.0330156	−	0.144651i
$461$	12.2738	+	5.91075i	0.571648	+	0.275291i	0.697295	−	0.716784i	$-0.254387\pi$
$461$	12.2738	+	5.91075i	0.571648	+	0.275291i	−0.125648	+	0.992075i	$0.540101\pi$
$462$	−10.1944	+	12.7834i	−0.474287	+	0.594738i
$463$	3.80502	−	16.6709i	0.176834	−	0.774761i	−0.806245	−	0.591581i	$-0.798504\pi$
$463$	3.80502	−	16.6709i	0.176834	−	0.774761i	0.983079	−	0.183180i	$-0.0586390\pi$
$464$	1.69463	−	2.12500i	0.0786712	−	0.0986505i
$465$	−1.73351	−	7.59500i	−0.0803896	−	0.352210i
$466$	−8.54972			−0.396058
$467$	−25.7345			−1.19085			−0.595426	−	0.803410i	$-0.703017\pi$
$467$	−25.7345			−1.19085			−0.595426	+	0.803410i	$0.703017\pi$
$468$	−1.96856	−	8.62484i	−0.0909969	−	0.398684i
$469$	−6.87103	−	8.61600i	−0.317275	−	0.397850i
$470$	5.26348	−	2.53476i	0.242786	−	0.116920i
$471$	−43.8864	−	21.1346i	−2.02218	−	0.973830i
$472$	1.26674			0.0583066
$473$	−2.70332	−	29.8571i	−0.124299	−	1.37283i
$474$	−37.5447			−1.72448
$475$	−0.738482	−	0.355634i	−0.0338839	−	0.0163176i
$476$	8.54869	−	4.11683i	0.391828	−	0.188695i
$477$	4.68398	+	5.87353i	0.214465	+	0.268930i
$478$	6.17951	+	27.0742i	0.282644	+	1.23835i
$479$	−30.8729			−1.41062			−0.705309	−	0.708900i	$-0.749192\pi$
$479$	−30.8729			−1.41062			−0.705309	+	0.708900i	$0.749192\pi$
$480$	−2.49532			−0.113895
$481$	0.352279	+	1.54343i	0.0160625	+	0.0703745i
$482$	10.1336	−	12.7071i	0.461573	−	0.578794i
$483$	2.53247	−	11.0955i	0.115232	−	0.504862i
$484$	6.17336	−	7.74115i	0.280607	−	0.351870i
$485$	−14.9398	−	7.19461i	−0.678380	−	0.326691i
$486$	4.96883	+	21.7699i	0.225391	+	0.987502i
$487$	17.5139	+	8.43427i	0.793633	+	0.382193i	0.786351	−	0.617780i	$-0.211968\pi$
$487$	17.5139	+	8.43427i	0.793633	+	0.382193i	0.00728183	+	0.999973i	$0.497682\pi$
$488$	−0.748586	−	0.938697i	−0.0338869	−	0.0424928i
$489$	−10.5104	+	46.0490i	−0.475296	+	2.08241i
$490$	1.10055	−	4.82181i	0.0497176	−	0.217827i
$491$	15.6454	−	7.53444i	0.706068	−	0.340024i	−0.0461540	−	0.998934i	$-0.514697\pi$
$491$	15.6454	−	7.53444i	0.706068	−	0.340024i	0.752222	+	0.658910i	$0.228982\pi$
$492$	−9.02509	−	11.3171i	−0.406883	−	0.510215i
$493$	11.2187	−	14.0679i	0.505267	−	0.633584i
$494$	2.02474	−	0.975065i	0.0910975	−	0.0438702i
$495$	13.2906	−	6.40042i	0.597369	−	0.287678i
$496$	1.94652	−	2.44086i	0.0874012	−	0.109598i
$497$	−1.07241	−	1.34476i	−0.0481043	−	0.0603209i
$498$	32.0373	−	15.4284i	1.43563	−	0.691362i
$499$	4.17651	−	18.2985i	0.186966	−	0.819154i	−0.791238	−	0.611509i	$-0.790563\pi$
$499$	4.17651	−	18.2985i	0.186966	−	0.819154i	0.978204	−	0.207645i	$-0.0665799\pi$
$500$	0.222521	−	0.974928i	0.00995144	−	0.0436001i
$501$	35.4714	+	44.4797i	1.58475	+	1.98721i
$502$	−3.46514	−	1.66872i	−0.154657	−	0.0744787i
$503$	7.99834	+	35.0430i	0.356628	+	1.56249i	0.761529	+	0.648130i	$0.224449\pi$
$503$	7.99834	+	35.0430i	0.356628	+	1.56249i	−0.404901	+	0.914361i	$0.632694\pi$
$504$	−4.16657	−	2.00651i	−0.185594	−	0.0893772i
$505$	−2.01150	+	2.52235i	−0.0895108	+	0.112243i
$506$	−3.23732	+	14.1836i	−0.143916	+	0.630538i
$507$	8.53007	−	10.6964i	0.378834	−	0.475043i
$508$	4.75012	+	20.8116i	0.210753	+	0.923367i
$509$	35.1335			1.55726			0.778632	−	0.627481i	$-0.215914\pi$
$509$	35.1335			1.55726			0.778632	+	0.627481i	$0.215914\pi$
$510$	−16.5195			−0.731494
$511$	2.11257	+	9.25578i	0.0934547	+	0.409452i
$512$	−0.623490	−	0.781831i	−0.0275546	−	0.0345524i
$513$	0.417616	−	0.201113i	0.0184382	−	0.00887936i
$514$	2.33093	+	1.12252i	0.102813	+	0.0495120i
$515$	−11.1372			−0.490762
$516$	15.5593	−	5.06476i	0.684962	−	0.222963i
$517$	−26.7085			−1.17464
$518$	0.745616	+	0.359070i	0.0327605	+	0.0157766i
$519$	1.94245	−	0.935433i	0.0852639	−	0.0410609i
$520$	1.70946	+	2.14360i	0.0749649	+	0.0940030i
$521$	−1.08264	−	4.74337i	−0.0474315	−	0.207811i	0.945659	−	0.325159i	$-0.105418\pi$
$521$	−1.08264	−	4.74337i	−0.0474315	−	0.207811i	−0.993091	+	0.117348i	$0.962561\pi$
$522$	−8.76989			−0.383848
$523$	4.82611			0.211031			0.105516	−	0.994418i	$-0.466351\pi$
$523$	4.82611			0.211031			0.105516	+	0.994418i	$0.466351\pi$
$524$	−0.124713	−	0.546403i	−0.00544811	−	0.0238697i
$525$	2.22985	−	2.79615i	0.0973187	−	0.122034i
$526$	6.26903	−	27.4664i	0.273343	−	1.19759i
$527$	12.8863	−	16.1589i	0.561336	−	0.703892i
$528$	10.2783	+	4.94979i	0.447307	+	0.215412i
$529$	2.86465	+	12.5508i	0.124550	+	0.545689i
$530$	−2.09772	−	1.01021i	−0.0911190	−	0.0438806i
$531$	−2.54840	−	3.19559i	−0.110591	−	0.138677i
$532$	0.261409	−	1.14531i	0.0113335	−	0.0496554i
$533$	−3.53913	+	15.5060i	−0.153297	+	0.671637i
$534$	32.0284	−	15.4241i	1.38600	−	0.667465i
$535$	11.3757	+	14.2647i	0.491816	+	0.616718i
$536$	−4.79404	+	6.01153i	−0.207071	+	0.259659i
$537$	18.5124	−	8.91510i	0.798869	−	0.384715i
$538$	2.61125	−	1.25751i	0.112579	−	0.0542152i
$539$	−14.0979	+	17.6782i	−0.607238	+	0.761453i
$540$	0.352587	+	0.442130i	0.0151729	+	0.0190263i
$541$	−33.7419	+	16.2492i	−1.45068	+	0.698609i	−0.982712	−	0.185139i	$-0.940726\pi$
$541$	−33.7419	+	16.2492i	−1.45068	+	0.698609i	−0.467964	+	0.883748i	$0.655012\pi$
$542$	0.768164	−	3.36555i	0.0329955	−	0.144563i
$543$	2.30324	−	10.0912i	0.0988416	−	0.433053i
$544$	−4.12761	−	5.17586i	−0.176970	−	0.221913i
$545$	9.65582	+	4.65000i	0.413610	+	0.199184i
$546$	2.18196	+	9.55981i	0.0933794	+	0.409122i
$547$	1.43469	+	0.690908i	0.0613427	+	0.0295411i	0.464304	−	0.885676i	$-0.346305\pi$
$547$	1.43469	+	0.690908i	0.0613427	+	0.0295411i	−0.402961	+	0.915217i	$0.632019\pi$
$548$	−1.79321	+	2.24862i	−0.0766023	+	0.0960563i
$549$	−0.862049	+	3.77688i	−0.0367914	+	0.161193i
$550$	−2.85047	+	3.57437i	−0.121544	+	0.152412i
$551$	−0.495731	−	2.17194i	−0.0211189	−	0.0925278i
$552$	−7.94061			−0.337975
$553$	21.5646			0.917021
$554$	−3.21260	−	14.0753i	−0.136490	−	0.598004i
$555$	−0.898341	−	1.12648i	−0.0381325	−	0.0478166i
$556$	11.6018	−	5.58712i	0.492025	−	0.236947i
$557$	−25.5538	−	12.3061i	−1.08275	−	0.521425i	−0.194555	−	0.980892i	$-0.562326\pi$
$557$	−25.5538	−	12.3061i	−1.08275	−	0.521425i	−0.888195	+	0.459467i	$0.848041\pi$
$558$	−10.0734			−0.426443
$559$	−15.0101	−	9.89651i	−0.634858	−	0.418578i
$560$	1.43324			0.0605656
$561$	68.0444	+	32.7684i	2.87284	+	1.38348i
$562$	19.0570	−	9.17736i	0.803871	−	0.387124i
$563$	−22.8268	−	28.6239i	−0.962036	−	1.20636i	−0.978449	−	0.206490i	$-0.933796\pi$
$563$	−22.8268	−	28.6239i	−0.962036	−	1.20636i	0.0164125	−	0.999865i	$-0.494775\pi$
$564$	−3.24385	−	14.2122i	−0.136591	−	0.598443i
$565$	−5.34851			−0.225013
$566$	−21.4936			−0.903444
$567$	−2.63713	−	11.5540i	−0.110749	−	0.485223i
$568$	−0.748242	+	0.938265i	−0.0313955	+	0.0393687i
$569$	8.60486	−	37.7004i	0.360735	−	1.58048i	−0.390600	−	0.920560i	$-0.627733\pi$
$569$	8.60486	−	37.7004i	0.360735	−	1.58048i	0.751335	−	0.659921i	$-0.229410\pi$
$570$	−1.27522	+	1.59908i	−0.0534132	+	0.0669780i
$571$	8.23275	+	3.96469i	0.344530	+	0.165917i	0.598144	−	0.801389i	$-0.295905\pi$
$571$	8.23275	+	3.96469i	0.344530	+	0.165917i	−0.253614	+	0.967305i	$0.581619\pi$
$572$	−2.78925	−	12.2205i	−0.116624	−	0.510965i
$573$	−35.1378	−	16.9215i	−1.46790	−	0.706904i
$574$	5.18377	+	6.50024i	0.216366	+	0.271315i
$575$	0.708106	−	3.10242i	0.0295301	−	0.129380i
$576$	−0.717992	+	3.14573i	−0.0299163	+	0.131072i
$577$	−41.2012	+	19.8415i	−1.71523	+	0.826011i	−0.724642	+	0.689125i	$0.757995\pi$
$577$	−41.2012	+	19.8415i	−1.71523	+	0.826011i	−0.990587	+	0.136886i	$0.956291\pi$
$578$	−16.7262	−	20.9740i	−0.695717	−	0.872402i
$579$	21.9430	−	27.5157i	0.911922	−	1.14351i
$580$	2.44881	−	1.17928i	0.101681	−	0.0489671i
$581$	−18.4014	+	8.86164i	−0.763418	+	0.367643i
$582$	−25.7982	+	32.3500i	−1.06937	+	1.34095i
$583$	6.63672	+	8.32218i	0.274865	+	0.344669i
$584$	5.96802	−	2.87405i	0.246958	−	0.118929i
$585$	1.96856	−	8.62484i	0.0813901	−	0.356593i
$586$	5.40510	−	23.6813i	0.223283	−	0.978265i
$587$	18.3196	+	22.9721i	0.756132	+	0.948160i	0.999764	−	0.0217080i	$-0.00691041\pi$
$587$	18.3196	+	22.9721i	0.756132	+	0.948160i	−0.243632	+	0.969868i	$0.578339\pi$
$588$	−11.1192	−	5.35473i	−0.458548	−	0.220825i
$589$	−0.569416	−	2.49478i	−0.0234624	−	0.102795i
$590$	1.14130	+	0.549620i	0.0469865	+	0.0226275i
$591$	25.4813	−	31.9526i	1.04816	−	1.31435i
$592$	0.128486	−	0.562935i	0.00528075	−	0.0231365i
$593$	−11.3756	+	14.2646i	−0.467141	+	0.585776i	−0.958468	−	0.285199i	$-0.907940\pi$
$593$	−11.3756	+	14.2646i	−0.467141	+	0.585776i	0.491327	+	0.870975i	$0.336512\pi$
$594$	−0.575300	−	2.52056i	−0.0236049	−	0.103420i
$595$	9.48833			0.388983
$596$	12.0839			0.494977
$597$	5.08472	+	22.2776i	0.208104	+	0.911762i
$598$	5.43985	+	6.82135i	0.222452	+	0.278946i
$599$	14.1842	−	6.83076i	0.579552	−	0.279097i	−0.121054	−	0.992646i	$-0.538627\pi$
$599$	14.1842	−	6.83076i	0.579552	−	0.279097i	0.700606	+	0.713549i	$0.252913\pi$
$600$	−2.24821	−	1.08268i	−0.0917826	−	0.0442002i
$601$	−8.89698			−0.362915			−0.181458	−	0.983399i	$-0.558082\pi$
$601$	−8.89698			−0.362915			−0.181458	+	0.983399i	$0.558082\pi$
$602$	−8.93686	+	2.90906i	−0.364239	+	0.118564i
$603$	24.8097			1.01033
$604$	−12.1054	−	5.82966i	−0.492562	−	0.237205i
$605$	8.92076	−	4.29601i	0.362681	−	0.174658i
$606$	5.01935	+	6.29407i	0.203897	+	0.255679i
$607$	−8.04900	−	35.2650i	−0.326699	−	1.43136i	−0.825381	−	0.564577i	$-0.809040\pi$
$607$	−8.04900	−	35.2650i	−0.326699	−	1.43136i	0.498682	−	0.866785i	$-0.333818\pi$
$608$	−0.819653			−0.0332413
$609$	9.72057			0.393898
$610$	−0.267167	−	1.17054i	−0.0108173	−	0.0473936i
$611$	−9.98672	+	12.5230i	−0.404019	+	0.506624i
$612$	−4.75323	+	20.8253i	−0.192138	+	0.841812i
$613$	16.2905	−	20.4276i	0.657966	−	0.825064i	−0.335154	−	0.942163i	$-0.608788\pi$
$613$	16.2905	−	20.4276i	0.657966	−	0.825064i	0.993120	+	0.117100i	$0.0373597\pi$
$614$	−11.1529	−	5.37093i	−0.450093	−	0.216753i
$615$	−3.22102	−	14.1122i	−0.129884	−	0.569059i
$616$	−5.90360	−	2.84302i	−0.237863	−	0.114549i
$617$	19.1545	+	24.0189i	0.771130	+	0.966966i	0.999979	−	0.00649555i	$-0.00206761\pi$
$617$	19.1545	+	24.0189i	0.771130	+	0.966966i	−0.228849	+	0.973462i	$0.573496\pi$
$618$	−6.18403	+	27.0940i	−0.248758	+	1.08988i
$619$	−1.82533	+	7.99728i	−0.0733661	+	0.321438i	−0.998272	−	0.0587575i	$-0.981286\pi$
$619$	−1.82533	+	7.99728i	−0.0733661	+	0.321438i	0.924906	+	0.380195i	$0.124143\pi$
$620$	2.81280	−	1.35457i	0.112965	−	0.0544010i
$621$	1.12200	+	1.40695i	0.0450244	+	0.0564588i
$622$	6.40377	−	8.03008i	0.256768	−	0.321977i
$623$	−18.3962	+	8.85916i	−0.737030	+	0.354935i
$624$	6.16405	−	2.96845i	0.246760	−	0.118833i
$625$	0.623490	−	0.781831i	0.0249396	−	0.0312733i
$626$	2.92013	+	3.66173i	0.116712	+	0.146352i
$627$	8.42467	−	4.05711i	0.336449	−	0.162025i
$628$	4.34375	−	19.0312i	0.173334	−	0.759428i
$629$	0.850601	−	3.72673i	0.0339157	−	0.148594i
$630$	−2.88336	−	3.61561i	−0.114876	−	0.144049i
$631$	16.2691	+	7.83479i	0.647663	+	0.311898i	0.728720	−	0.684811i	$-0.240115\pi$
$631$	16.2691	+	7.83479i	0.647663	+	0.311898i	−0.0810574	+	0.996709i	$0.525830\pi$
$632$	−3.34806	−	14.6688i	−0.133178	−	0.583493i
$633$	18.0621	+	8.69827i	0.717906	+	0.345725i
$634$	11.1074	−	13.9283i	0.441132	−	0.553163i
$635$	−4.75012	+	20.8116i	−0.188503	+	0.825885i
$636$	−3.62237	+	4.54231i	−0.143636	+	0.180114i
$637$	3.01744	+	13.2203i	0.119555	+	0.523806i
$638$	−12.4260			−0.491951
$639$	3.87223			0.153183
$640$	−0.222521	−	0.974928i	−0.00879591	−	0.0385374i
$641$	−6.33339	−	7.94182i	−0.250154	−	0.313683i	0.640861	−	0.767657i	$-0.278577\pi$
$641$	−6.33339	−	7.94182i	−0.250154	−	0.313683i	−0.891015	+	0.453974i	$0.850006\pi$
$642$	41.0191	−	19.7538i	1.61890	−	0.779619i
$643$	21.0049	+	10.1154i	0.828352	+	0.398913i	0.799497	−	0.600671i	$-0.205100\pi$
$643$	21.0049	+	10.1154i	0.828352	+	0.398913i	0.0288549	+	0.999584i	$0.490814\pi$
$644$	4.56087			0.179723
$645$	16.2160	+	2.18776i	0.638504	+	0.0861430i
$646$	−5.42625			−0.213493
$647$	2.65420	+	1.27820i	0.104347	+	0.0502511i	0.485329	−	0.874331i	$-0.338700\pi$
$647$	2.65420	+	1.27820i	0.104347	+	0.0502511i	−0.380982	+	0.924582i	$0.624414\pi$
$648$	−7.44990	+	3.58768i	−0.292660	+	0.140937i
$649$	−3.61081	−	4.52782i	−0.141737	−	0.177732i
$650$	0.610100	+	2.67302i	0.0239301	+	0.104845i
$651$	11.1654			0.437608
$652$	−18.9287			−0.741306
$653$	8.98404	+	39.3617i	0.351573	+	1.54034i	0.773551	+	0.633734i	$0.218479\pi$
$653$	8.98404	+	39.3617i	0.351573	+	1.54034i	−0.421978	+	0.906606i	$0.638664\pi$
$654$	16.6738	−	20.9083i	0.651998	−	0.817579i
$655$	0.124713	−	0.546403i	0.00487294	−	0.0213497i
$656$	3.61681	−	4.53533i	0.141213	−	0.177075i
$657$	−19.2566	−	9.27348i	−0.751270	−	0.361793i
$658$	1.86318	+	8.16312i	0.0726343	+	0.318232i
$659$	−6.49757	−	3.12907i	−0.253110	−	0.121891i	0.303027	−	0.952982i	$-0.402003\pi$
$659$	−6.49757	−	3.12907i	−0.253110	−	0.121891i	−0.556137	+	0.831091i	$0.687717\pi$
$660$	7.11283	+	8.91921i	0.276867	+	0.347180i
$661$	0.456350	−	1.99940i	0.0177499	−	0.0777676i	−0.965277	−	0.261228i	$-0.915873\pi$
$661$	0.456350	−	1.99940i	0.0177499	−	0.0777676i	0.983027	+	0.183460i	$0.0587298\pi$
$662$	6.79793	−	29.7837i	0.264209	−	1.15758i
$663$	40.8071	−	19.6517i	1.58482	−	0.763207i
$664$	8.88484	+	11.1412i	0.344799	+	0.432364i
$665$	0.732453	−	0.918466i	0.0284033	−	0.0356166i
$666$	−1.67859	+	0.808365i	−0.0650439	+	0.0313235i
$667$	7.79260	−	3.75272i	0.301731	−	0.145306i
$668$	−14.2152	+	17.8253i	−0.550001	+	0.689680i
$669$	37.4640	+	46.9784i	1.44844	+	1.81629i
$670$	−6.92759	+	3.33615i	−0.267636	+	0.128887i
$671$	−1.22143	+	5.35145i	−0.0471529	+	0.206591i
$672$	0.795825	−	3.48674i	0.0306996	−	0.134504i
$673$	20.5416	+	25.7583i	0.791819	+	0.992910i	0.999891	+	0.0147961i	$0.00470993\pi$
$673$	20.5416	+	25.7583i	0.791819	+	0.992910i	−0.208071	+	0.978114i	$0.566719\pi$
$674$	−25.8382	−	12.4430i	−0.995250	−	0.479287i
$675$	0.125837	+	0.551327i	0.00484346	+	0.0212206i
$676$	4.93977	+	2.37887i	0.189991	+	0.0914949i
$677$	−17.7882	+	22.3057i	−0.683655	+	0.857276i	−0.995685	−	0.0927963i	$-0.970419\pi$
$677$	−17.7882	+	22.3057i	−0.683655	+	0.857276i	0.312030	+	0.950072i	$0.398991\pi$
$678$	−2.96982	+	13.0116i	−0.114055	+	0.499708i
$679$	14.8178	−	18.5809i	0.568655	−	0.713071i
$680$	−1.47313	−	6.45419i	−0.0564919	−	0.247507i
$681$	58.7854			2.25266
$682$	−14.2730			−0.546542
$683$	3.66969	+	16.0780i	0.140417	+	0.615206i	0.995338	+	0.0964484i	$0.0307483\pi$
$683$	3.66969	+	16.0780i	0.140417	+	0.615206i	−0.854921	+	0.518758i	$0.826395\pi$
$684$	1.64895	+	2.06772i	0.0630493	+	0.0790613i
$685$	−2.59127	+	1.24789i	−0.0990073	+	0.0476794i
$686$	15.4257	+	7.42864i	0.588957	+	0.283627i
$687$	−17.5140			−0.668200
$688$	3.36632	+	5.62742i	0.128340	+	0.214543i
$689$	6.38362			0.243197
$690$	−7.15424	−	3.44530i	−0.272357	−	0.131160i
$691$	−14.7299	+	7.09357i	−0.560353	+	0.269852i	−0.692548	−	0.721372i	$-0.743512\pi$
$691$	−14.7299	+	7.09357i	−0.560353	+	0.269852i	0.132195	+	0.991224i	$0.457798\pi$
$692$	0.538694	+	0.675501i	0.0204781	+	0.0256787i
$693$	4.70464	+	20.6124i	0.178714	+	0.782999i
$694$	−9.28849			−0.352586
$695$	12.8770			0.488452
$696$	−1.50919	−	6.61217i	−0.0572055	−	0.250634i
$697$	23.9439	−	30.0247i	0.906939	−	1.13727i
$698$	−7.11490	+	31.1724i	−0.269303	+	1.17989i
$699$	−13.3017	+	16.6798i	−0.503117	+	0.630889i
$700$	1.29131	+	0.621861i	0.0488069	+	0.0235041i
$701$	−4.47219	−	19.5939i	−0.168912	−	0.740053i	−0.986434	−	0.164156i	$-0.947510\pi$
$701$	−4.47219	−	19.5939i	−0.168912	−	0.740053i	0.817522	−	0.575897i	$-0.195347\pi$
$702$	−1.39694	−	0.672730i	−0.0527240	−	0.0253905i
$703$	−0.295083	−	0.370023i	−0.0111293	−	0.0139557i
$704$	−1.01732	+	4.45717i	−0.0383417	+	0.167986i
$705$	3.24385	−	14.2122i	0.122170	−	0.535264i
$706$	−16.9543	+	8.16477i	−0.638084	+	0.307285i
$707$	−2.88298	−	3.61514i	−0.108426	−	0.135961i
$708$	1.97081	−	2.47132i	0.0740676	−	0.0928778i
$709$	6.48368	−	3.12238i	0.243500	−	0.117263i	−0.308154	−	0.951336i	$-0.599711\pi$
$709$	6.48368	−	3.12238i	0.243500	−	0.117263i	0.551654	+	0.834073i	$0.313997\pi$
$710$	−1.08124	+	0.520698i	−0.0405782	+	0.0195414i
$711$	−30.2691	+	37.9563i	−1.13518	+	1.42347i
$712$	8.88236	+	11.1381i	0.332881	+	0.417419i
$713$	8.95089	−	4.31052i	0.335214	−	0.161430i
$714$	5.26850	−	23.0828i	0.197169	−	0.863852i
$715$	2.78925	−	12.2205i	0.104312	−	0.457021i
$716$	5.13400	+	6.43783i	0.191867	+	0.240593i
$717$	62.4338	+	30.0665i	2.33163	+	1.12285i
$718$	0.974989	+	4.27170i	0.0363863	+	0.159419i
$719$	6.62193	+	3.18895i	0.246956	+	0.118928i	0.553268	−	0.833003i	$-0.313381\pi$
$719$	6.62193	+	3.18895i	0.246956	+	0.118928i	−0.306312	+	0.951931i	$0.599095\pi$
$720$	−2.01177	+	2.52268i	−0.0749742	+	0.0940147i
$721$	3.55194	−	15.5621i	0.132281	−	0.579561i
$722$	11.4274	−	14.3295i	0.425285	−	0.533290i
$723$	−9.02467	−	39.5397i	−0.335631	−	1.47050i
$724$	4.14804			0.154161
$725$	2.71797			0.100943
$726$	−5.49781	−	24.0875i	−0.204043	−	0.893970i
$727$	−21.4773	−	26.9317i	−0.796549	−	0.998841i	−0.999806	−	0.0197154i	$-0.993724\pi$
$727$	−21.4773	−	26.9317i	−0.796549	−	0.998841i	0.203257	−	0.979126i	$-0.434847\pi$
$728$	−3.54046	+	1.70500i	−0.131218	+	0.0631914i
$729$	27.8522	+	13.4129i	1.03156	+	0.496774i
$730$	6.62400			0.245165
$731$	22.2856	+	37.2545i	0.824264	+	1.37791i
$732$	−2.99598			−0.110735
$733$	−25.8587	−	12.4529i	−0.955112	−	0.459958i	−0.109637	−	0.993972i	$-0.534969\pi$
$733$	−25.8587	−	12.4529i	−0.955112	−	0.459958i	−0.845476	+	0.534014i	$0.820683\pi$
$734$	11.5693	−	5.57150i	0.427032	−	0.205648i
$735$	−7.69473	−	9.64888i	−0.283824	−	0.355904i
$736$	−0.708106	−	3.10242i	−0.0261011	−	0.114357i
$737$	35.1527			1.29487
$738$	−18.7174			−0.688996
$739$	5.47109	+	23.9704i	0.201257	+	0.881766i	0.970173	+	0.242415i	$0.0779397\pi$
$739$	5.47109	+	23.9704i	0.201257	+	0.881766i	−0.768915	+	0.639351i	$0.779203\pi$
$740$	0.360010	−	0.451439i	0.0132342	−	0.0165952i
$741$	1.24784	−	5.46712i	0.0458404	−	0.200840i
$742$	2.08059	−	2.60898i	0.0763809	−	0.0957786i
$743$	20.6676	+	9.95299i	0.758220	+	0.365140i	0.772713	−	0.634755i	$-0.218899\pi$
$743$	20.6676	+	9.95299i	0.758220	+	0.365140i	−0.0144928	+	0.999895i	$0.504613\pi$
$744$	−1.73351	−	7.59500i	−0.0635536	−	0.278446i
$745$	10.8872	+	5.24302i	0.398878	+	0.192089i
$746$	2.92070	+	3.66244i	0.106934	+	0.134092i
$747$	10.2315	−	44.8272i	0.374352	−	1.64014i
$748$	−6.73483	+	29.5072i	−0.246250	+	1.07889i
$749$	−23.5603	+	11.3460i	−0.860874	+	0.414575i
$750$	−1.55581	−	1.95092i	−0.0568100	−	0.0712375i
$751$	−15.1059	+	18.9422i	−0.551221	+	0.691209i	−0.976908	−	0.213661i	$-0.931461\pi$
$751$	−15.1059	+	18.9422i	−0.551221	+	0.691209i	0.425687	+	0.904871i	$0.360033\pi$
$752$	5.26348	−	2.53476i	0.191940	−	0.0924332i
$753$	−8.64663	+	4.16400i	−0.315101	+	0.151745i
$754$	−4.64627	+	5.82624i	−0.169207	+	0.212179i
$755$	−8.37720	−	10.5047i	−0.304878	−	0.382304i
$756$	−0.730242	+	0.351666i	−0.0265587	+	0.0127900i
$757$	1.00008	−	4.38163i	0.0363485	−	0.159253i	−0.953496	−	0.301404i	$-0.902545\pi$
$757$	1.00008	−	4.38163i	0.0363485	−	0.159253i	0.989845	+	0.142151i	$0.0454018\pi$
$758$	−6.48706	+	28.4217i	−0.235621	+	1.03232i
$759$	22.6344	+	28.3827i	0.821578	+	1.03023i
$760$	−0.738482	−	0.355634i	−0.0267875	−	0.0129002i
$761$	10.6833	+	46.8066i	0.387270	+	1.69674i	0.674003	+	0.738729i	$0.264573\pi$
$761$	10.6833	+	46.8066i	0.387270	+	1.69674i	−0.286733	+	0.958010i	$0.592569\pi$
$762$	47.9921	+	23.1118i	1.73857	+	0.837252i
$763$	−9.57698	+	12.0092i	−0.346710	+	0.434761i
$764$	3.47783	−	15.2374i	0.125824	−	0.551269i
$765$	−13.3183	+	16.7006i	−0.481523	+	0.603810i
$766$	0.212256	+	0.929954i	0.00766912	+	0.0336006i
$767$	−3.47311			−0.125407
$768$	−2.49532			−0.0900421
$769$	−6.82198	−	29.8891i	−0.246007	−	1.07783i	−0.935442	−	0.353480i	$-0.884998\pi$
$769$	−6.82198	−	29.8891i	−0.246007	−	1.07783i	0.689435	−	0.724347i	$-0.257859\pi$
$770$	−4.08541	−	5.12295i	−0.147228	−	0.184618i
$771$	5.81641	−	2.80104i	0.209473	−	0.100877i
$772$	12.7072	+	6.11948i	0.457343	+	0.220245i
$773$	−26.0099			−0.935512			−0.467756	−	0.883858i	$-0.654937\pi$
$773$	−26.0099			−0.935512			−0.467756	+	0.883858i	$0.654937\pi$
$774$	7.42392	−	19.8132i	0.266847	−	0.712171i
$775$	3.12197			0.112145
$776$	−14.9398	−	7.19461i	−0.536306	−	0.258272i
$777$	1.86055	−	0.895995i	0.0667469	−	0.0321436i
$778$	1.91313	+	2.39899i	0.0685891	+	0.0860081i
$779$	−1.05803	−	4.63552i	−0.0379078	−	0.166085i
$780$	6.84158			0.244968
$781$	5.48655			0.196324
$782$	−4.68779	−	20.5385i	−0.167635	−	0.734456i
$783$	−0.958323	+	1.20170i	−0.0342477	+	0.0429452i
$784$	1.10055	−	4.82181i	0.0393052	−	0.172207i
$785$	12.1709	−	15.2618i	0.434399	−	0.544719i
$786$	−1.26002	−	0.606793i	−0.0449434	−	0.0216436i
$787$	−8.07595	−	35.3830i	−0.287877	−	1.26127i	−0.887433	−	0.460937i	$-0.847513\pi$
$787$	−8.07595	−	35.3830i	−0.287877	−	1.26127i	0.599556	−	0.800333i	$-0.295344\pi$
$788$	14.7562	+	7.10623i	0.525670	+	0.253149i
$789$	−43.8314	−	54.9628i	−1.56044	−	1.95673i
$790$	3.34806	−	14.6688i	0.119118	−	0.521892i
$791$	1.70578	−	7.47352i	0.0606506	−	0.265728i
$792$	13.2906	−	6.40042i	0.472261	−	0.227429i
$793$	2.05245	+	2.57369i	0.0728845	+	0.0913943i
$794$	−15.2978	+	19.1828i	−0.542899	+	0.680774i
$795$	−5.23448	+	2.52079i	−0.185648	+	0.0894033i
$796$	−8.25048	+	3.97322i	−0.292431	+	0.140827i
$797$	−32.1430	+	40.3060i	−1.13856	+	1.42771i	−0.250426	+	0.968136i	$0.580571\pi$
$797$	−32.1430	+	40.3060i	−1.13856	+	1.42771i	−0.888138	+	0.459578i	$0.848001\pi$
$798$	−1.82770	−	2.29187i	−0.0647000	−	0.0811313i
$799$	34.8452	−	16.7806i	1.23273	−	0.593653i
$800$	0.222521	−	0.974928i	0.00786730	−	0.0344689i
$801$	10.2287	−	44.8147i	0.361412	−	1.58345i
$802$	−12.3088	−	15.4347i	−0.434638	−	0.545019i
$803$	−27.2846	−	13.1395i	−0.962851	−	0.463685i
$804$	4.26943	+	18.7056i	0.150571	+	0.659695i
$805$	4.10920	+	1.97889i	0.144830	+	0.0697466i
$806$	−5.33689	+	6.69225i	−0.187984	+	0.235724i
$807$	1.60930	−	7.05079i	0.0566499	−	0.248199i
$808$	−2.01150	+	2.52235i	−0.0707645	+	0.0887359i
$809$	7.13871	+	31.2767i	0.250984	+	1.09963i	0.930592	+	0.366057i	$0.119292\pi$
$809$	7.13871	+	31.2767i	0.250984	+	1.09963i	−0.679609	+	0.733575i	$0.737850\pi$
$810$	−8.26876			−0.290535
$811$	−47.2916			−1.66063			−0.830316	−	0.557293i	$-0.811840\pi$
$811$	−47.2916			−1.66063			−0.830316	+	0.557293i	$0.811840\pi$
$812$	0.866835	+	3.79785i	0.0304199	+	0.133278i
$813$	−5.37080	−	6.73477i	−0.188362	−	0.236199i
$814$	−2.37838	+	1.14537i	−0.0833623	+	0.0401452i
$815$	−17.0542	−	8.21286i	−0.597382	−	0.287684i
$816$	−16.5195			−0.578297
$817$	5.32657	+	0.718626i	0.186353	+	0.0251416i
$818$	−30.7614			−1.07555
$819$	11.4237	+	5.50139i	0.399178	+	0.192234i
$820$	5.22644	−	2.51692i	0.182515	−	0.0878946i
$821$	−23.5472	−	29.5272i	−0.821802	−	1.03051i	−0.998927	−	0.0463184i	$-0.985251\pi$
$821$	−23.5472	−	29.5272i	−0.821802	−	1.03051i	0.177125	−	0.984188i	$-0.443320\pi$
$822$	1.59698	+	6.99684i	0.0557012	+	0.244043i
$823$	34.3431			1.19712			0.598562	−	0.801076i	$-0.295739\pi$
$823$	34.3431			1.19712			0.598562	+	0.801076i	$0.295739\pi$
$824$	−11.1372			−0.387981
$825$	2.53854	+	11.1221i	0.0883806	+	0.387221i
$826$	−1.13198	+	1.41946i	−0.0393866	+	0.0493892i
$827$	−5.54334	+	24.2870i	−0.192761	+	0.844540i	0.782353	+	0.622835i	$0.214019\pi$
$827$	−5.54334	+	24.2870i	−0.192761	+	0.844540i	−0.975114	+	0.221705i	$0.928838\pi$
$828$	−6.40185	+	8.02767i	−0.222480	+	0.278981i
$829$	−15.9675	−	7.68956i	−0.554576	−	0.267070i	0.135536	−	0.990772i	$-0.456724\pi$
$829$	−15.9675	−	7.68956i	−0.554576	−	0.267070i	−0.690112	+	0.723703i	$0.742439\pi$
$830$	3.17096	+	13.8929i	0.110066	+	0.482230i
$831$	−32.4581	−	15.6310i	−1.12596	−	0.542232i
$832$	1.70946	+	2.14360i	0.0592649	+	0.0743159i
$833$	7.28581	−	31.9212i	0.252438	−	1.10600i
$834$	7.15009	−	31.3266i	0.247587	−	1.08475i
$835$	−20.5415	+	9.89227i	−0.710868	+	0.342336i
$836$	2.33639	+	2.92974i	0.0808059	+	0.101327i
$837$	−1.10077	+	1.38032i	−0.0380481	+	0.0477108i
$838$	18.1716	−	8.75097i	0.627727	−	0.302297i
$839$	−2.75030	+	1.32448i	−0.0949510	+	0.0457260i	−0.480756	−	0.876854i	$-0.659638\pi$
$839$	−2.75030	+	1.32448i	−0.0949510	+	0.0457260i	0.385805	+	0.922580i	$0.373924\pi$
$840$	2.22985	−	2.79615i	0.0769372	−	0.0964762i
$841$	−13.4752	−	16.8974i	−0.464664	−	0.582670i
$842$	−27.6274	+	13.3047i	−0.952104	+	0.458509i
$843$	11.7447	−	51.4569i	0.404509	−	1.77227i
$844$	−1.78774	+	7.83259i	−0.0615365	+	0.269609i
$845$	3.41843	+	4.28657i	0.117597	+	0.147463i
$846$	−16.9833	−	8.17873i	−0.583898	−	0.281190i
$847$	3.15779	+	13.8352i	0.108503	+	0.475382i
$848$	−2.09772	−	1.01021i	−0.0720359	−	0.0346907i
$849$	−33.4399	+	41.9323i	−1.14765	+	1.43911i
$850$	1.47313	−	6.45419i	0.0505279	−	0.221377i
$851$	1.14562	−	1.43657i	0.0392715	−	0.0492449i
$852$	0.666361	+	2.91952i	0.0228292	+	0.100021i
$853$	18.6450			0.638394			0.319197	−	0.947688i	$-0.396587\pi$
$853$	18.6450			0.638394			0.319197	+	0.947688i	$0.396587\pi$
$854$	1.72081			0.0588849
$855$	0.588504	+	2.57841i	0.0201264	+	0.0881796i
$856$	11.3757	+	14.2647i	0.388815	+	0.487558i
$857$	−39.6311	+	19.0853i	−1.35377	+	0.651942i	−0.963239	−	0.268647i	$-0.913424\pi$
$857$	−39.6311	+	19.0853i	−1.35377	+	0.651942i	−0.390533	+	0.920589i	$0.627709\pi$
$858$	−28.1808	−	13.5711i	−0.962076	−	0.463311i
$859$	−38.8950			−1.32708			−0.663541	−	0.748140i	$-0.730947\pi$
$859$	−38.8950			−1.32708			−0.663541	+	0.748140i	$0.730947\pi$
$860$	0.591303	+	6.53072i	0.0201633	+	0.222696i
$861$	20.7464			0.707035
$862$	−22.4623	−	10.8173i	−0.765070	−	0.368438i
$863$	3.81116	−	1.83536i	0.129734	−	0.0624764i	−0.367891	−	0.929869i	$-0.619920\pi$
$863$	3.81116	−	1.83536i	0.129734	−	0.0624764i	0.497625	+	0.867393i	$0.334206\pi$
$864$	0.352587	+	0.442130i	0.0119953	+	0.0150416i
$865$	0.192258	+	0.842336i	0.00653696	+	0.0286403i
$866$	−7.57960			−0.257565
$867$	−66.9412			−2.27344
$868$	0.995681	+	4.36236i	0.0337956	+	0.148068i
$869$	−42.8882	+	53.7801i	−1.45488	+	1.82436i
$870$	1.50919	−	6.61217i	0.0511662	−	0.224174i
$871$	13.1441	−	16.4822i	0.445371	−	0.558478i
$872$	9.65582	+	4.65000i	0.326987	+	0.157469i
$873$	11.9057	+	52.1621i	0.402946	+	1.76542i
$874$	−2.35000	−	1.13170i	−0.0794898	−	0.0382803i
$875$	0.893613	+	1.12056i	0.0302096	+	0.0378817i
$876$	3.67805	−	16.1146i	0.124270	−	0.544462i
$877$	−8.37707	+	36.7023i	−0.282873	+	1.23935i	0.611217	+	0.791463i	$0.290680\pi$
$877$	−8.37707	+	36.7023i	−0.282873	+	1.23935i	−0.894091	+	0.447886i	$0.852177\pi$
$878$	13.5366	−	6.51889i	0.456839	−	0.220002i
$879$	−37.7910	−	47.3885i	−1.27466	−	1.59837i
$880$	−2.85047	+	3.57437i	−0.0960892	+	0.120492i
$881$	−41.2893	+	19.8839i	−1.39107	+	0.669905i	−0.971329	−	0.237737i	$-0.923594\pi$
$881$	−41.2893	+	19.8839i	−1.39107	+	0.669905i	−0.419743	+	0.907643i	$0.637880\pi$
$882$	−14.3779	+	6.92404i	−0.484130	+	0.233145i
$883$	12.4639	−	15.6292i	0.419443	−	0.525965i	−0.526553	−	0.850142i	$-0.676516\pi$
$883$	12.4639	−	15.6292i	0.419443	−	0.525965i	0.945996	+	0.324177i	$0.105087\pi$
$884$	11.3169	+	14.1910i	0.380630	+	0.477295i
$885$	2.84790	−	1.37148i	0.0957312	−	0.0461017i
$886$	3.39258	−	14.8639i	0.113976	−	0.499361i
$887$	−3.66861	+	16.0732i	−0.123180	+	0.539686i	0.875250	+	0.483671i	$0.160697\pi$
$887$	−3.66861	+	16.0732i	−0.123180	+	0.539686i	−0.998430	+	0.0560154i	$0.982160\pi$
$888$	−0.898341	−	1.12648i	−0.0301464	−	0.0378023i
$889$	−27.5654	−	13.2748i	−0.924513	−	0.445222i
$890$	3.17008	+	13.8890i	0.106261	+	0.465561i
$891$	34.0594	+	16.4021i	1.14103	+	0.549492i
$892$	−15.0137	+	18.8266i	−0.502696	+	0.630361i
$893$	1.06553	−	4.66838i	0.0356565	−	0.156221i
$894$	18.8003	−	23.5748i	0.628775	−	0.788458i
$895$	1.83230	+	8.02784i	0.0612471	+	0.268341i
$896$	1.43324			0.0478813
$897$	21.7713			0.726922
$898$	−1.06243	−	4.65480i	−0.0354537	−	0.155333i
$899$	5.29059	+	6.63418i	0.176451	+	0.221262i
$900$	−2.90709	+	1.39998i	−0.0969030	+	0.0466660i
$901$	−13.8873	−	6.68775i	−0.462652	−	0.222801i
$902$	−26.5205			−0.883038
$903$	−8.22870	+	21.9610i	−0.273834	+	0.730818i
$904$	−5.34851			−0.177889
$905$	3.73725	+	1.79977i	0.124230	+	0.0598262i
$906$	−30.2069	+	14.5469i	−1.00356	+	0.483287i
$907$	7.67572	+	9.62505i	0.254868	+	0.319595i	0.892761	−	0.450531i	$-0.148765\pi$
$907$	7.67572	+	9.62505i	0.254868	+	0.319595i	−0.637893	+	0.770125i	$0.720194\pi$
$908$	5.24221	+	22.9676i	0.173969	+	0.762207i
$909$	10.4098			0.345270
$910$	−3.92962			−0.130266
$911$	−4.32349	−	18.9424i	−0.143243	−	0.627591i	−0.994669	−	0.103116i	$-0.967119\pi$
$911$	−4.32349	−	18.9424i	−0.143243	−	0.627591i	0.851426	−	0.524475i	$-0.175738\pi$
$912$	−1.27522	+	1.59908i	−0.0422268	+	0.0529508i
$913$	14.4970	−	63.5155i	0.479780	−	2.10206i
$914$	11.7210	−	14.6977i	0.387697	−	0.486156i
$915$	−2.69928	−	1.29991i	−0.0892356	−	0.0429736i
$916$	−1.56181	−	6.84275i	−0.0516038	−	0.226091i
$917$	0.723720	+	0.348525i	0.0238993	+	0.0115093i
$918$	2.33419	+	2.92698i	0.0770397	+	0.0966047i
$919$	−4.17731	+	18.3020i	−0.137797	+	0.603727i	0.858120	+	0.513450i	$0.171633\pi$
$919$	−4.17731	+	18.3020i	−0.137797	+	0.603727i	−0.995917	+	0.0902778i	$0.971225\pi$
$920$	0.708106	−	3.10242i	0.0233456	−	0.102284i
$921$	−27.8300	+	13.4022i	−0.917028	+	0.441618i
$922$	8.49373	+	10.6508i	0.279726	+	0.350766i
$923$	2.05150	−	2.57250i	0.0675260	−	0.0846749i
$924$	−14.7314	+	7.09425i	−0.484626	+	0.233384i
$925$	0.520230	−	0.250529i	0.0171051	−	0.00823736i
$926$	10.6614	−	13.3690i	0.350356	−	0.439333i
$927$	22.4054	+	28.0955i	0.735889	+	0.922776i
$928$	2.44881	−	1.17928i	0.0803861	−	0.0387119i
$929$	0.930630	−	4.07735i	0.0305330	−	0.133774i	−0.957364	−	0.288883i	$-0.906716\pi$
$929$	0.930630	−	4.07735i	0.0305330	−	0.133774i	0.987897	+	0.155110i	$0.0495731\pi$
$930$	1.73351	−	7.59500i	0.0568440	−	0.249050i
$931$	−2.52753	−	3.16943i	−0.0828366	−	0.103874i
$932$	−7.70304	−	3.70959i	−0.252321	−	0.121512i
$933$	−5.70300	−	24.9865i	−0.186708	−	0.818021i
$934$	−23.1860	−	11.1658i	−0.758670	−	0.365356i
$935$	−18.8706	+	23.6630i	−0.617134	+	0.773862i
$936$	1.96856	−	8.62484i	0.0643445	−	0.281912i
$937$	−22.7538	+	28.5324i	−0.743334	+	0.932112i	−0.999403	−	0.0345467i	$-0.989001\pi$
$937$	−22.7538	+	28.5324i	−0.743334	+	0.932112i	0.256069	+	0.966659i	$0.417573\pi$
$938$	−2.45224	−	10.7440i	−0.0800685	−	0.350803i
$939$	11.6869			0.381388
$940$	5.84203			0.190546
$941$	−8.65427	−	37.9168i	−0.282121	−	1.23605i	−0.895068	−	0.445930i	$-0.852873\pi$
$941$	−8.65427	−	37.9168i	−0.282121	−	1.23605i	0.612947	−	0.790124i	$-0.289984\pi$
$942$	−30.3703	−	38.0832i	−0.989519	−	1.24082i
$943$	16.6316	−	8.00934i	0.541598	−	0.260820i
$944$	1.14130	+	0.549620i	0.0371461	+	0.0178886i
$945$	−0.810508			−0.0263658
$946$	10.5189	−	28.0733i	0.341999	−	0.912741i
$947$	0.0728960			0.00236880			0.00118440	−	0.999999i	$-0.499623\pi$
$947$	0.0728960			0.00236880			0.00118440	+	0.999999i	$0.499623\pi$
$948$	−33.8266	−	16.2900i	−1.09864	−	0.529075i
$949$	−16.3629	+	7.87996i	−0.531162	+	0.255794i
$950$	−0.511045	−	0.640830i	−0.0165805	−	0.0207913i
$951$	−9.89194	−	43.3394i	−0.320768	−	1.40538i
$952$	9.48833			0.307518
$953$	10.4717			0.339213			0.169606	−	0.985512i	$-0.445750\pi$
$953$	10.4717			0.339213			0.169606	+	0.985512i	$0.445750\pi$
$954$	1.67169	+	7.32417i	0.0541231	+	0.237129i
$955$	9.74467	−	12.2194i	0.315330	−	0.395411i
$956$	−6.17951	+	27.0742i	−0.199860	+	0.875643i
$957$	−19.3325	+	24.2422i	−0.624931	+	0.783638i
$958$	−27.8155	−	13.3952i	−0.898678	−	0.432780i
$959$	−0.917263	−	4.01879i	−0.0296200	−	0.129774i
$960$	−2.24821	−	1.08268i	−0.0725606	−	0.0349433i
$961$	−13.2512	−	16.6165i	−0.427458	−	0.536016i
$962$	−0.352279	+	1.54343i	−0.0113579	+	0.0497623i
$963$	13.1000	−	57.3947i	0.422140	−	1.84952i
$964$	14.6435	−	7.05192i	0.471634	−	0.227127i
$965$	8.79368	+	11.0269i	0.283078	+	0.354969i
$966$	7.09583	−	8.89789i	0.228305	−	0.286285i
$967$	21.3596	−	10.2862i	0.686878	−	0.330783i	−0.0576851	−	0.998335i	$-0.518372\pi$
$967$	21.3596	−	10.2862i	0.686878	−	0.330783i	0.744563	+	0.667552i	$0.232658\pi$
$968$	8.92076	−	4.29601i	0.286724	−	0.138079i
$969$	−8.44219	+	10.5862i	−0.271202	+	0.340077i
$970$	−10.3386	−	12.9642i	−0.331954	−	0.416257i
$971$	17.6570	−	8.50314i	0.566639	−	0.272879i	−0.128554	−	0.991703i	$-0.541033\pi$
$971$	17.6570	−	8.50314i	0.566639	−	0.272879i	0.695192	+	0.718824i	$0.255319\pi$
$972$	−4.96883	+	21.7699i	−0.159375	+	0.698269i
$973$	−4.10682	+	17.9931i	−0.131659	+	0.576834i
$974$	12.1200	+	15.1980i	0.388351	+	0.486976i
$975$	6.16405	+	2.96845i	0.197408	+	0.0950665i
$976$	−0.267167	−	1.17054i	−0.00855182	−	0.0374680i
$977$	14.7138	+	7.08579i	0.470736	+	0.226695i	0.654185	−	0.756335i	$-0.273012\pi$
$977$	14.7138	+	7.08579i	0.470736	+	0.226695i	−0.183449	+	0.983029i	$0.558726\pi$
$978$	−29.4494	+	36.9284i	−0.941689	+	1.18084i
$979$	14.4929	−	63.4977i	0.463197	−	2.02940i
$980$	3.08366	−	3.86679i	0.0985040	−	0.123520i
$981$	−7.69483	−	33.7132i	−0.245677	−	1.07638i
$982$	17.3651			0.554143
$983$	5.31755			0.169603			0.0848017	−	0.996398i	$-0.472974\pi$
$983$	5.31755			0.169603			0.0848017	+	0.996398i	$0.472974\pi$
$984$	−3.22102	−	14.1122i	−0.102682	−	0.449881i
$985$	10.2116	+	12.8050i	0.325370	+	0.408001i
$986$	16.2116	−	7.80707i	0.516281	−	0.248628i
$987$	18.8243	+	9.06533i	0.599186	+	0.288553i
$988$	2.24729			0.0714960
$989$	1.88165	+	20.7821i	0.0598328	+	0.660831i
$990$	14.7515			0.468833
$991$	35.0192	+	16.8644i	1.11242	+	0.535714i	0.897543	−	0.440927i	$-0.145350\pi$
$991$	35.0192	+	16.8644i	1.11242	+	0.535714i	0.214879	+	0.976641i	$0.431064\pi$
$992$	2.81280	−	1.35457i	0.0893065	−	0.0430077i
$993$	−47.5294	−	59.5999i	−1.50830	−	1.89135i
$994$	−0.382740	−	1.67689i	−0.0121398	−	0.0531878i
$995$	−9.15735			−0.290307
$996$	35.5588			1.12672
$997$	−5.56860	−	24.3976i	−0.176359	−	0.772681i	−0.983292	−	0.182037i	$-0.941731\pi$
$997$	−5.56860	−	24.3976i	−0.176359	−	0.772681i	0.806932	−	0.590644i	$-0.201126\pi$
$998$	11.7023	−	14.6743i	0.370431	−	0.464506i
$999$	−0.0726597	+	0.318343i	−0.00229885	+	0.0100719i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	430.2.k.d.21.4	✓	24
43.41	even	7	inner	430.2.k.d.41.4	yes	24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
430.2.k.d.21.4	✓	24	1.1	even	1	trivial
430.2.k.d.41.4	yes	24	43.41	even	7	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 430 = 2 \cdot 5 \cdot 43 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	430.k (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.900969 + 0.433884i) q^{2} +(2.24821 - 1.08268i) q^{3} +(0.623490 + 0.781831i) q^{4} +(0.222521 + 0.974928i) q^{5} +2.49532 q^{6} -1.43324 q^{7} +(0.222521 + 0.974928i) q^{8} +(2.01177 - 2.52268i) q^{9} +O(q^{10})\)	\(q+(0.900969 + 0.433884i) q^{2} +(2.24821 - 1.08268i) q^{3} +(0.623490 + 0.781831i) q^{4} +(0.222521 + 0.974928i) q^{5} +2.49532 q^{6} -1.43324 q^{7} +(0.222521 + 0.974928i) q^{8} +(2.01177 - 2.52268i) q^{9} +(-0.222521 + 0.974928i) q^{10} +(2.85047 - 3.57437i) q^{11} +(2.24821 + 1.08268i) q^{12} +(-0.610100 - 2.67302i) q^{13} +(-1.29131 - 0.621861i) q^{14} +(1.55581 + 1.95092i) q^{15} +(-0.222521 + 0.974928i) q^{16} +(-1.47313 + 6.45419i) q^{17} +(2.90709 - 1.39998i) q^{18} +(0.511045 + 0.640830i) q^{19} +(-0.623490 + 0.781831i) q^{20} +(-3.22223 + 1.55174i) q^{21} +(4.11904 - 1.98363i) q^{22} +(-1.98407 + 2.48794i) q^{23} +(1.55581 + 1.95092i) q^{24} +(-0.900969 + 0.433884i) q^{25} +(0.610100 - 2.67302i) q^{26} +(0.125837 - 0.551327i) q^{27} +(-0.893613 - 1.12056i) q^{28} +(-2.44881 - 1.17928i) q^{29} +(0.555261 + 2.43276i) q^{30} +(-2.81280 - 1.35457i) q^{31} +(-0.623490 + 0.781831i) q^{32} +(2.53854 - 11.1221i) q^{33} +(-4.12761 + 5.17586i) q^{34} +(-0.318927 - 1.39731i) q^{35} +3.22663 q^{36} -0.577412 q^{37} +(0.182390 + 0.799102i) q^{38} +(-4.26566 - 5.34896i) q^{39} +(-0.900969 + 0.433884i) q^{40} +(-5.22644 - 2.51692i) q^{41} -3.57640 q^{42} +(4.73725 - 4.53414i) q^{43} +4.57179 q^{44} +(2.90709 + 1.39998i) q^{45} +(-2.86706 + 1.38070i) q^{46} +(-3.64244 - 4.56748i) q^{47} +(0.555261 + 2.43276i) q^{48} -4.94581 q^{49} -1.00000 q^{50} +(3.67593 + 16.1053i) q^{51} +(1.70946 - 2.14360i) q^{52} +(-0.518094 + 2.26992i) q^{53} +(0.352587 - 0.442130i) q^{54} +(4.11904 + 1.98363i) q^{55} +(-0.318927 - 1.39731i) q^{56} +(1.84275 + 0.887421i) q^{57} +(-1.69463 - 2.12500i) q^{58} +(0.281877 - 1.23498i) q^{59} +(-0.555261 + 2.43276i) q^{60} +(-1.08174 + 0.520938i) q^{61} +(-1.94652 - 2.44086i) q^{62} +(-2.88336 + 3.61561i) q^{63} +(-0.900969 + 0.433884i) q^{64} +(2.47024 - 1.18961i) q^{65} +(7.11283 - 8.91921i) q^{66} +(4.79404 + 6.01153i) q^{67} +(-5.96457 + 2.87239i) q^{68} +(-1.76695 + 7.74152i) q^{69} +(0.318927 - 1.39731i) q^{70} +(0.748242 + 0.938265i) q^{71} +(2.90709 + 1.39998i) q^{72} +(-1.47398 - 6.45792i) q^{73} +(-0.520230 - 0.250529i) q^{74} +(-1.55581 + 1.95092i) q^{75} +(-0.182390 + 0.799102i) q^{76} +(-4.08541 + 5.12295i) q^{77} +(-1.52239 - 6.67005i) q^{78} -15.0460 q^{79} -1.00000 q^{80} +(1.83997 + 8.06145i) q^{81} +(-3.61681 - 4.53533i) q^{82} +(12.8390 - 6.18292i) q^{83} +(-3.22223 - 1.55174i) q^{84} -6.62017 q^{85} +(6.23541 - 2.02970i) q^{86} -6.78222 q^{87} +(4.11904 + 1.98363i) q^{88} +(12.8354 - 6.18120i) q^{89} +(2.01177 + 2.52268i) q^{90} +(0.874422 + 3.83109i) q^{91} -3.18220 q^{92} -7.79032 q^{93} +(-1.29997 - 5.69555i) q^{94} +(-0.511045 + 0.640830i) q^{95} +(-0.555261 + 2.43276i) q^{96} +(-10.3386 + 12.9642i) q^{97} +(-4.45602 - 2.14591i) q^{98} +(-3.28251 - 14.3816i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q + 4 q^{2} + 2 q^{3} - 4 q^{4} + 4 q^{5} + 12 q^{6} - 2 q^{7} + 4 q^{8} - 4 q^{9}+O(q^{10}) \) 24 * q + 4 * q^2 + 2 * q^3 - 4 * q^4 + 4 * q^5 + 12 * q^6 - 2 * q^7 + 4 * q^8 - 4 * q^9	\( 24 q + 4 q^{2} + 2 q^{3} - 4 q^{4} + 4 q^{5} + 12 q^{6} - 2 q^{7} + 4 q^{8} - 4 q^{9} - 4 q^{10} - 9 q^{11} + 2 q^{12} - 2 q^{13} - 5 q^{14} - 2 q^{15} - 4 q^{16} + 13 q^{17} - 10 q^{18} - 3 q^{19} + 4 q^{20} - 14 q^{21} - 5 q^{22} + 11 q^{23} - 2 q^{24} - 4 q^{25} + 2 q^{26} - 13 q^{27} + 5 q^{28} + 20 q^{29} + 2 q^{30} - 5 q^{31} + 4 q^{32} + 15 q^{33} + q^{34} + 9 q^{35} + 24 q^{36} - 38 q^{37} - 18 q^{38} + 5 q^{39} - 4 q^{40} - 2 q^{41} - 14 q^{42} - 2 q^{43} - 2 q^{44} - 10 q^{45} - 4 q^{46} + 10 q^{47} + 2 q^{48} + 50 q^{49} - 24 q^{50} - 42 q^{51} - 2 q^{52} + 22 q^{53} - 29 q^{54} - 5 q^{55} + 9 q^{56} - 67 q^{57} + 22 q^{58} - 44 q^{59} - 2 q^{60} - 26 q^{61} - 2 q^{62} + 37 q^{63} - 4 q^{64} + 2 q^{65} - 8 q^{66} + 37 q^{67} - 15 q^{68} + 88 q^{69} - 9 q^{70} + 19 q^{71} - 10 q^{72} + 22 q^{73} - 4 q^{74} + 2 q^{75} + 18 q^{76} + 28 q^{77} + 23 q^{78} + 30 q^{79} - 24 q^{80} - 26 q^{81} + 37 q^{82} - 11 q^{83} - 14 q^{84} - 6 q^{85} + 16 q^{86} - 26 q^{87} - 5 q^{88} + 30 q^{89} - 4 q^{90} + 36 q^{91} - 10 q^{92} - 98 q^{93} + 4 q^{94} + 3 q^{95} - 2 q^{96} - 39 q^{97} + 41 q^{98} - 31 q^{99}+O(q^{100}) \) 24 * q + 4 * q^2 + 2 * q^3 - 4 * q^4 + 4 * q^5 + 12 * q^6 - 2 * q^7 + 4 * q^8 - 4 * q^9 - 4 * q^10 - 9 * q^11 + 2 * q^12 - 2 * q^13 - 5 * q^14 - 2 * q^15 - 4 * q^16 + 13 * q^17 - 10 * q^18 - 3 * q^19 + 4 * q^20 - 14 * q^21 - 5 * q^22 + 11 * q^23 - 2 * q^24 - 4 * q^25 + 2 * q^26 - 13 * q^27 + 5 * q^28 + 20 * q^29 + 2 * q^30 - 5 * q^31 + 4 * q^32 + 15 * q^33 + q^34 + 9 * q^35 + 24 * q^36 - 38 * q^37 - 18 * q^38 + 5 * q^39 - 4 * q^40 - 2 * q^41 - 14 * q^42 - 2 * q^43 - 2 * q^44 - 10 * q^45 - 4 * q^46 + 10 * q^47 + 2 * q^48 + 50 * q^49 - 24 * q^50 - 42 * q^51 - 2 * q^52 + 22 * q^53 - 29 * q^54 - 5 * q^55 + 9 * q^56 - 67 * q^57 + 22 * q^58 - 44 * q^59 - 2 * q^60 - 26 * q^61 - 2 * q^62 + 37 * q^63 - 4 * q^64 + 2 * q^65 - 8 * q^66 + 37 * q^67 - 15 * q^68 + 88 * q^69 - 9 * q^70 + 19 * q^71 - 10 * q^72 + 22 * q^73 - 4 * q^74 + 2 * q^75 + 18 * q^76 + 28 * q^77 + 23 * q^78 + 30 * q^79 - 24 * q^80 - 26 * q^81 + 37 * q^82 - 11 * q^83 - 14 * q^84 - 6 * q^85 + 16 * q^86 - 26 * q^87 - 5 * q^88 + 30 * q^89 - 4 * q^90 + 36 * q^91 - 10 * q^92 - 98 * q^93 + 4 * q^94 + 3 * q^95 - 2 * q^96 - 39 * q^97 + 41 * q^98 - 31 * q^99

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