LMFDB - Embedded newform 731.2.k.a.188.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

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

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

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

chi := DirichletCharacter("731.35");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

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

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

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

Embedding invariants

Embedding label			188.9
Character	$\chi$	$=$	731.188
Dual form			731.2.k.a.35.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.370259 - 1.62221i) q^{2} +(-0.724410 + 3.17385i) q^{3} +(-0.692544 + 0.333512i) q^{4} +(-2.53002 - 3.17255i) q^{5} +5.41688 q^{6} -2.21279 q^{7} +(-1.27744 - 1.60186i) q^{8} +(-6.84564 - 3.29669i) q^{9} +O(q^{10})$	\(q+(-0.370259 - 1.62221i) q^{2} +(-0.724410 + 3.17385i) q^{3} +(-0.692544 + 0.333512i) q^{4} +(-2.53002 - 3.17255i) q^{5} +5.41688 q^{6} -2.21279 q^{7} +(-1.27744 - 1.60186i) q^{8} +(-6.84564 - 3.29669i) q^{9} +(-4.20978 + 5.27890i) q^{10} +(2.88829 + 1.39093i) q^{11} +(-0.556829 - 2.43963i) q^{12} +(3.72824 + 4.67506i) q^{13} +(0.819307 + 3.58962i) q^{14} +(11.9020 - 5.73168i) q^{15} +(-3.08408 + 3.86732i) q^{16} +(0.623490 - 0.781831i) q^{17} +(-2.81326 + 12.3257i) q^{18} +(1.54040 - 0.741820i) q^{19} +(2.81023 + 1.35334i) q^{20} +(1.60297 - 7.02307i) q^{21} +(1.18696 - 5.20042i) q^{22} +(1.21579 + 0.585492i) q^{23} +(6.00945 - 2.89400i) q^{24} +(-2.55144 + 11.1786i) q^{25} +(6.20353 - 7.77898i) q^{26} +(9.33298 - 11.7032i) q^{27} +(1.53246 - 0.737992i) q^{28} +(0.385590 + 1.68938i) q^{29} +(-13.7048 - 17.1853i) q^{30} +(0.692887 + 3.03573i) q^{31} +(3.72361 + 1.79320i) q^{32} +(-6.50689 + 8.15939i) q^{33} +(-1.49915 - 0.721953i) q^{34} +(5.59841 + 7.02019i) q^{35} +5.84039 q^{36} +0.711360 q^{37} +(-1.77374 - 2.22420i) q^{38} +(-17.5387 + 8.44620i) q^{39} +(-1.85002 + 8.10547i) q^{40} +(2.06026 + 9.02661i) q^{41} -11.9864 q^{42} +(6.16984 - 2.22105i) q^{43} -2.46416 q^{44} +(6.86072 + 30.0588i) q^{45} +(0.499636 - 2.18905i) q^{46} +(8.97799 - 4.32357i) q^{47} +(-10.0401 - 12.5899i) q^{48} -2.10355 q^{49} +19.0787 q^{50} +(2.02975 + 2.54523i) q^{51} +(-4.14115 - 1.99427i) q^{52} +(6.84949 - 8.58899i) q^{53} +(-22.4407 - 10.8069i) q^{54} +(-2.89465 - 12.6823i) q^{55} +(2.82671 + 3.54458i) q^{56} +(1.23854 + 5.42639i) q^{57} +(2.59777 - 1.25102i) q^{58} +(-5.95249 + 7.46419i) q^{59} +(-6.33104 + 7.93888i) q^{60} +(-2.83887 + 12.4379i) q^{61} +(4.66806 - 2.24802i) q^{62} +(15.1480 + 7.29488i) q^{63} +(-0.671148 + 2.94049i) q^{64} +(5.39933 - 23.6560i) q^{65} +(15.6455 + 7.53448i) q^{66} +(0.820560 - 0.395161i) q^{67} +(-0.171044 + 0.749394i) q^{68} +(-2.73899 + 3.43459i) q^{69} +(9.31537 - 11.6811i) q^{70} +(-6.56000 + 3.15913i) q^{71} +(3.46407 + 15.1771i) q^{72} +(7.39799 + 9.27679i) q^{73} +(-0.263388 - 1.15398i) q^{74} +(-33.6308 - 16.1957i) q^{75} +(-0.819392 + 1.02749i) q^{76} +(-6.39118 - 3.07783i) q^{77} +(20.1954 + 25.3242i) q^{78} -1.38785 q^{79} +20.0720 q^{80} +(16.1712 + 20.2781i) q^{81} +(13.8802 - 6.68437i) q^{82} +(0.527616 - 2.31164i) q^{83} +(1.23215 + 5.39839i) q^{84} -4.05784 q^{85} +(-5.88746 - 9.18643i) q^{86} -5.64117 q^{87} +(-1.46155 - 6.40346i) q^{88} +(-0.503985 + 2.20810i) q^{89} +(46.2215 - 22.2591i) q^{90} +(-8.24981 - 10.3449i) q^{91} -1.03725 q^{92} -10.1369 q^{93} +(-10.3379 - 12.9634i) q^{94} +(-6.25071 - 3.01018i) q^{95} +(-8.38876 + 10.5192i) q^{96} +(-7.05223 - 3.39618i) q^{97} +(0.778859 + 3.41240i) q^{98} +(-15.1867 - 19.0436i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 180 q - 4 q^{2} - 6 q^{3} - 34 q^{4} - 6 q^{5} - 14 q^{6} + 66 q^{7} + 2 q^{8} - 26 q^{9}+O(q^{10}) $ 180 * q - 4 * q^2 - 6 * q^3 - 34 * q^4 - 6 * q^5 - 14 * q^6 + 66 * q^7 + 2 * q^8 - 26 * q^9	\( 180 q - 4 q^{2} - 6 q^{3} - 34 q^{4} - 6 q^{5} - 14 q^{6} + 66 q^{7} + 2 q^{8} - 26 q^{9} - 8 q^{10} - 12 q^{11} - 24 q^{12} - 5 q^{13} - 8 q^{14} - q^{15} - 58 q^{16} - 30 q^{17} + 36 q^{18} - 24 q^{19} - 36 q^{20} - 28 q^{21} + 5 q^{22} + 27 q^{23} - 46 q^{24} - 38 q^{25} + 6 q^{26} - 36 q^{27} - 54 q^{28} + 28 q^{29} - 21 q^{30} + 36 q^{31} + 11 q^{32} + 5 q^{33} - 4 q^{34} + 6 q^{35} + 192 q^{36} + 164 q^{37} + 32 q^{38} - 34 q^{39} + 2 q^{40} + 42 q^{41} - 2 q^{42} - 22 q^{43} + 14 q^{44} + 58 q^{45} - 53 q^{46} + 21 q^{47} - 20 q^{48} + 166 q^{49} + 18 q^{50} - 6 q^{51} + 54 q^{52} + 8 q^{53} - 154 q^{54} - 5 q^{55} - 35 q^{56} + 8 q^{57} + 9 q^{58} - 13 q^{59} - 88 q^{60} - 34 q^{61} - 36 q^{62} - 31 q^{63} - 18 q^{64} + 9 q^{65} + 222 q^{66} - 48 q^{67} - 27 q^{68} + 2 q^{69} - 64 q^{70} - 42 q^{71} + 77 q^{72} - 44 q^{73} - 35 q^{74} - 21 q^{75} + 44 q^{76} - 32 q^{77} + 124 q^{78} - 96 q^{79} + 490 q^{80} - 12 q^{81} - 130 q^{82} - 8 q^{83} + 170 q^{84} + 22 q^{85} - 12 q^{86} - 90 q^{87} - 122 q^{88} - 81 q^{89} + 49 q^{90} - 27 q^{91} - 116 q^{92} + 18 q^{93} - 124 q^{94} + 117 q^{95} + 52 q^{96} - 79 q^{97} - 54 q^{98} - 39 q^{99}+O(q^{100}) \) 180 * q - 4 * q^2 - 6 * q^3 - 34 * q^4 - 6 * q^5 - 14 * q^6 + 66 * q^7 + 2 * q^8 - 26 * q^9 - 8 * q^10 - 12 * q^11 - 24 * q^12 - 5 * q^13 - 8 * q^14 - q^15 - 58 * q^16 - 30 * q^17 + 36 * q^18 - 24 * q^19 - 36 * q^20 - 28 * q^21 + 5 * q^22 + 27 * q^23 - 46 * q^24 - 38 * q^25 + 6 * q^26 - 36 * q^27 - 54 * q^28 + 28 * q^29 - 21 * q^30 + 36 * q^31 + 11 * q^32 + 5 * q^33 - 4 * q^34 + 6 * q^35 + 192 * q^36 + 164 * q^37 + 32 * q^38 - 34 * q^39 + 2 * q^40 + 42 * q^41 - 2 * q^42 - 22 * q^43 + 14 * q^44 + 58 * q^45 - 53 * q^46 + 21 * q^47 - 20 * q^48 + 166 * q^49 + 18 * q^50 - 6 * q^51 + 54 * q^52 + 8 * q^53 - 154 * q^54 - 5 * q^55 - 35 * q^56 + 8 * q^57 + 9 * q^58 - 13 * q^59 - 88 * q^60 - 34 * q^61 - 36 * q^62 - 31 * q^63 - 18 * q^64 + 9 * q^65 + 222 * q^66 - 48 * q^67 - 27 * q^68 + 2 * q^69 - 64 * q^70 - 42 * q^71 + 77 * q^72 - 44 * q^73 - 35 * q^74 - 21 * q^75 + 44 * q^76 - 32 * q^77 + 124 * q^78 - 96 * q^79 + 490 * q^80 - 12 * q^81 - 130 * q^82 - 8 * q^83 + 170 * q^84 + 22 * q^85 - 12 * q^86 - 90 * q^87 - 122 * q^88 - 81 * q^89 + 49 * q^90 - 27 * q^91 - 116 * q^92 + 18 * q^93 - 124 * q^94 + 117 * q^95 + 52 * q^96 - 79 * q^97 - 54 * q^98 - 39 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$173$	$562$
$\chi(n)$	$1$	$e\left(\frac{4}{7}\right)$

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 $

$2$	−0.370259	−	1.62221i	−0.261813	−	1.14708i	−0.919283	−	0.393597i	$-0.871231\pi$
$2$	−0.370259	−	1.62221i	−0.261813	−	1.14708i	0.657470	−	0.753481i	$-0.271627\pi$
$3$	−0.724410	+	3.17385i	−0.418238	+	1.83242i	0.124110	+	0.992269i	$0.460393\pi$
$3$	−0.724410	+	3.17385i	−0.418238	+	1.83242i	−0.542348	+	0.840154i	$0.682465\pi$
$4$	−0.692544	+	0.333512i	−0.346272	+	0.166756i
$5$	−2.53002	−	3.17255i	−1.13146	−	1.41881i	−0.894376	−	0.447316i	$-0.852380\pi$
$5$	−2.53002	−	3.17255i	−1.13146	−	1.41881i	−0.237084	−	0.971489i	$-0.576192\pi$
$6$	5.41688			2.21143
$7$	−2.21279			−0.836357			−0.418178	−	0.908365i	$-0.637331\pi$
$7$	−2.21279			−0.836357			−0.418178	+	0.908365i	$0.637331\pi$
$8$	−1.27744	−	1.60186i	−0.451643	−	0.566343i
$9$	−6.84564	−	3.29669i	−2.28188	−	1.09890i
$10$	−4.20978	+	5.27890i	−1.33125	+	1.66933i
$11$	2.88829	+	1.39093i	0.870852	+	0.419380i	0.815275	−	0.579074i	$-0.196586\pi$
$11$	2.88829	+	1.39093i	0.870852	+	0.419380i	0.0555769	+	0.998454i	$0.482300\pi$
$12$	−0.556829	−	2.43963i	−0.160743	−	0.704260i
$13$	3.72824	+	4.67506i	1.03403	+	1.29663i	0.953991	+	0.299836i	$0.0969321\pi$
$13$	3.72824	+	4.67506i	1.03403	+	1.29663i	0.0800360	+	0.996792i	$0.474496\pi$
$14$	0.819307	+	3.58962i	0.218969	+	0.959366i
$15$	11.9020	−	5.73168i	3.07307	−	1.47991i
$16$	−3.08408	+	3.86732i	−0.771021	+	0.966829i
$17$	0.623490	−	0.781831i	0.151218	−	0.189622i
$17$	0.623490	−	0.781831i	0.151218	−	0.189622i
$18$	−2.81326	+	12.3257i	−0.663092	+	2.90520i
$19$	1.54040	−	0.741820i	0.353393	−	0.170185i	−0.248761	−	0.968565i	$-0.580023\pi$
$19$	1.54040	−	0.741820i	0.353393	−	0.170185i	0.602154	+	0.798380i	$0.294309\pi$
$20$	2.81023	+	1.35334i	0.628387	+	0.302615i
$21$	1.60297	−	7.02307i	0.349797	−	1.53256i
$22$	1.18696	−	5.20042i	0.253061	−	1.10873i
$23$	1.21579	+	0.585492i	0.253509	+	0.122084i	0.556323	−	0.830966i	$-0.312212\pi$
$23$	1.21579	+	0.585492i	0.253509	+	0.122084i	−0.302814	+	0.953050i	$0.597926\pi$
$24$	6.00945	−	2.89400i	1.22667	−	0.590735i
$25$	−2.55144	+	11.1786i	−0.510287	+	2.23571i
$26$	6.20353	−	7.77898i	1.21661	−	1.52558i
$27$	9.33298	−	11.7032i	1.79613	−	2.25228i
$28$	1.53246	−	0.737992i	0.289607	−	0.139467i
$29$	0.385590	+	1.68938i	0.0716023	+	0.313710i	0.998028	−	0.0627669i	$-0.0199925\pi$
$29$	0.385590	+	1.68938i	0.0716023	+	0.313710i	−0.926426	+	0.376477i	$0.877135\pi$
$30$	−13.7048	−	17.1853i	−2.50214	−	3.13759i
$31$	0.692887	+	3.03573i	0.124446	+	0.545234i	0.998260	+	0.0589727i	$0.0187825\pi$
$31$	0.692887	+	3.03573i	0.124446	+	0.545234i	−0.873814	+	0.486261i	$0.838360\pi$
$32$	3.72361	+	1.79320i	0.658248	+	0.316995i
$33$	−6.50689	+	8.15939i	−1.13270	+	1.42037i
$34$	−1.49915	−	0.721953i	−0.257102	−	0.123814i
$35$	5.59841	+	7.02019i	0.946304	+	1.18663i
$36$	5.84039			0.973398
$37$	0.711360			0.116947			0.0584734	−	0.998289i	$-0.481377\pi$
$37$	0.711360			0.116947			0.0584734	+	0.998289i	$0.481377\pi$
$38$	−1.77374	−	2.22420i	−0.287738	−	0.360813i
$39$	−17.5387	+	8.44620i	−2.80844	+	1.35247i
$40$	−1.85002	+	8.10547i	−0.292514	+	1.28159i
$41$	2.06026	+	9.02661i	0.321759	+	1.40972i	0.834421	+	0.551128i	$0.185802\pi$
$41$	2.06026	+	9.02661i	0.321759	+	1.40972i	−0.512661	+	0.858591i	$0.671340\pi$
$42$	−11.9864			−1.84955
$43$	6.16984	−	2.22105i	0.940892	−	0.338707i
$43$	6.16984	−	2.22105i	0.940892	−	0.338707i
$44$	−2.46416			−0.371486
$45$	6.86072	+	30.0588i	1.02274	+	4.48090i
$46$	0.499636	−	2.18905i	0.0736673	−	0.322758i
$47$	8.97799	−	4.32357i	1.30957	−	0.630658i	0.356756	−	0.934198i	$-0.383883\pi$
$47$	8.97799	−	4.32357i	1.30957	−	0.630658i	0.952819	+	0.303540i	$0.0981685\pi$
$48$	−10.0401	−	12.5899i	−1.44917	−	1.81720i
$49$	−2.10355			−0.300507
$50$	19.0787			2.69814
$51$	2.02975	+	2.54523i	0.284222	+	0.356403i
$52$	−4.14115	−	1.99427i	−0.574275	−	0.276556i
$53$	6.84949	−	8.58899i	0.940850	−	1.17979i	−0.0426880	−	0.999088i	$-0.513592\pi$
$53$	6.84949	−	8.58899i	0.940850	−	1.17979i	0.983538	−	0.180700i	$-0.0578364\pi$
$54$	−22.4407	−	10.8069i	−3.05379	−	1.47063i
$55$	−2.89465	−	12.6823i	−0.390315	−	1.71008i
$56$	2.82671	+	3.54458i	0.377735	+	0.473665i
$57$	1.23854	+	5.42639i	0.164048	+	0.718743i
$58$	2.59777	−	1.25102i	0.341104	−	0.164267i
$59$	−5.95249	+	7.46419i	−0.774949	+	0.971755i	−0.999997	−	0.00259265i	$-0.999175\pi$
$59$	−5.95249	+	7.46419i	−0.774949	+	0.971755i	0.225048	+	0.974348i	$0.427746\pi$
$60$	−6.33104	+	7.93888i	−0.817334	+	1.02490i
$61$	−2.83887	+	12.4379i	−0.363480	+	1.59251i	0.380811	+	0.924653i	$0.375645\pi$
$61$	−2.83887	+	12.4379i	−0.363480	+	1.59251i	−0.744291	+	0.667856i	$0.767212\pi$
$62$	4.66806	−	2.24802i	0.592844	−	0.285499i
$63$	15.1480	+	7.29488i	1.90847	+	0.919069i
$64$	−0.671148	+	2.94049i	−0.0838935	+	0.367562i
$65$	5.39933	−	23.6560i	0.669704	−	2.93417i
$66$	15.6455	+	7.53448i	1.92583	+	0.927430i
$67$	0.820560	−	0.395161i	0.100247	−	0.0482766i	−0.383088	−	0.923712i	$-0.625139\pi$
$67$	0.820560	−	0.395161i	0.100247	−	0.0482766i	0.483335	+	0.875435i	$0.339425\pi$
$68$	−0.171044	+	0.749394i	−0.0207422	+	0.0908773i
$69$	−2.73899	+	3.43459i	−0.329736	+	0.413476i
$70$	9.31537	−	11.6811i	1.11340	−	1.39616i
$71$	−6.56000	+	3.15913i	−0.778528	+	0.374919i	−0.780562	−	0.625078i	$-0.785067\pi$
$71$	−6.56000	+	3.15913i	−0.778528	+	0.374919i	0.00203360	+	0.999998i	$0.499353\pi$
$72$	3.46407	+	15.1771i	0.408244	+	1.78863i
$73$	7.39799	+	9.27679i	0.865870	+	1.08577i	0.995552	+	0.0942108i	$0.0300328\pi$
$73$	7.39799	+	9.27679i	0.865870	+	1.08577i	−0.129682	+	0.991556i	$0.541396\pi$
$74$	−0.263388	−	1.15398i	−0.0306182	−	0.134147i
$75$	−33.6308	−	16.1957i	−3.88335	−	1.87012i
$76$	−0.819392	+	1.02749i	−0.0939908	+	0.117861i
$77$	−6.39118	−	3.07783i	−0.728343	−	0.350751i
$78$	20.1954	+	25.3242i	2.28668	+	2.86740i
$79$	−1.38785			−0.156146			−0.0780729	−	0.996948i	$-0.524877\pi$
$79$	−1.38785			−0.156146			−0.0780729	+	0.996948i	$0.524877\pi$
$80$	20.0720			2.24412
$81$	16.1712	+	20.2781i	1.79680	+	2.25312i
$82$	13.8802	−	6.68437i	1.53282	−	0.738165i
$83$	0.527616	−	2.31164i	0.0579134	−	0.253735i	−0.937681	−	0.347496i	$-0.887032\pi$
$83$	0.527616	−	2.31164i	0.0579134	−	0.253735i	0.995595	+	0.0937613i	$0.0298891\pi$
$84$	1.23215	+	5.39839i	0.134438	+	0.589013i
$85$	−4.05784			−0.440134
$86$	−5.88746	−	9.18643i	−0.634861	−	0.990598i
$87$	−5.64117			−0.604797
$88$	−1.46155	−	6.40346i	−0.155801	−	0.682611i
$89$	−0.503985	+	2.20810i	−0.0534223	+	0.234058i	−0.994590	−	0.103883i	$-0.966873\pi$
$89$	−0.503985	+	2.20810i	−0.0534223	+	0.234058i	0.941167	+	0.337941i	$0.109730\pi$
$90$	46.2215	−	22.2591i	4.87217	−	2.34632i
$91$	−8.24981	−	10.3449i	−0.864815	−	1.08444i
$92$	−1.03725			−0.108141
$93$	−10.1369			−1.05115
$94$	−10.3379	−	12.9634i	−1.06628	−	1.33707i
$95$	−6.25071	−	3.01018i	−0.641310	−	0.308838i
$96$	−8.38876	+	10.5192i	−0.856174	+	1.07361i
$97$	−7.05223	−	3.39618i	−0.716046	−	0.344830i	0.0401331	−	0.999194i	$-0.487222\pi$
$97$	−7.05223	−	3.39618i	−0.716046	−	0.344830i	−0.756179	+	0.654365i	$0.772936\pi$
$98$	0.778859	+	3.41240i	0.0786766	+	0.344705i
$99$	−15.1867	−	19.0436i	−1.52632	−	1.91395i
$100$	−1.96120	−	8.59259i	−0.196120	−	0.859259i
$101$	6.12584	−	2.95005i	0.609544	−	0.293541i	−0.103534	−	0.994626i	$-0.533015\pi$
$101$	6.12584	−	2.95005i	0.609544	−	0.293541i	0.713078	+	0.701085i	$0.247301\pi$
$102$	3.37737	−	4.23509i	0.334409	−	0.419336i
$103$	2.46560	−	3.09177i	0.242943	−	0.304641i	−0.645379	−	0.763863i	$-0.723300\pi$
$103$	2.46560	−	3.09177i	0.242943	−	0.304641i	0.888321	+	0.459222i	$0.151872\pi$
$104$	2.72619	−	11.9442i	0.267325	−	1.17123i
$105$	−26.3366	+	12.6830i	−2.57018	+	1.23774i
$106$	−16.4693	−	7.93118i	−1.59964	−	0.770344i
$107$	−1.60848	+	7.04719i	−0.155497	+	0.681278i	0.835734	+	0.549135i	$0.185043\pi$
$107$	−1.60848	+	7.04719i	−0.155497	+	0.681278i	−0.991231	+	0.132142i	$0.957814\pi$
$108$	−2.56035	+	11.2176i	−0.246370	+	1.07942i
$109$	2.98502	+	1.43751i	0.285913	+	0.137688i	0.571344	−	0.820711i	$-0.306422\pi$
$109$	2.98502	+	1.43751i	0.285913	+	0.137688i	−0.285431	+	0.958399i	$0.592137\pi$
$110$	−19.5016	+	9.39148i	−1.85941	+	0.895443i
$111$	−0.515317	+	2.25775i	−0.0489117	+	0.214296i
$112$	6.82443	−	8.55757i	0.644848	−	0.808614i
$113$	−2.89279	+	3.62745i	−0.272131	+	0.341242i	−0.899052	−	0.437841i	$-0.855743\pi$
$113$	−2.89279	+	3.62745i	−0.272131	+	0.341242i	0.626921	+	0.779083i	$0.284315\pi$
$114$	8.34418	−	4.01835i	0.781504	−	0.376353i
$115$	−1.21847	−	5.33845i	−0.113623	−	0.497813i
$116$	−0.830466	−	1.04137i	−0.0771069	−	0.0966890i
$117$	−10.1100	−	44.2946i	−0.934665	−	4.09504i
$118$	14.3125	+	6.89252i	1.31757	+	0.634508i
$119$	−1.37965	+	1.73003i	−0.126473	+	0.158592i
$120$	−24.3854	−	11.7434i	−2.22607	−	1.07202i
$121$	−0.450857	−	0.565356i	−0.0409870	−	0.0513960i
$122$	21.2280			1.92189
$123$	−30.1416			−2.71777
$124$	−1.49231	−	1.87129i	−0.134013	−	0.168047i
$125$	23.6398	−	11.3843i	2.11441	−	1.01825i
$126$	6.22517	−	27.2742i	0.554582	−	2.42978i
$127$	−2.83599	−	12.4253i	−0.251653	−	1.10256i	−0.929924	−	0.367752i	$-0.880127\pi$
$127$	−2.83599	−	12.4253i	−0.251653	−	1.10256i	0.678271	−	0.734812i	$-0.262730\pi$
$128$	13.2844			1.17419
$129$	2.57978	+	21.1911i	0.227137	+	1.86577i
$130$	−40.3742			−3.54105
$131$	−2.49671	−	10.9388i	−0.218138	−	0.955727i	−0.958852	−	0.283906i	$-0.908370\pi$
$131$	−2.49671	−	10.9388i	−0.218138	−	0.955727i	0.740714	−	0.671821i	$-0.234488\pi$
$132$	1.78506	−	7.82086i	0.155370	−	0.680718i
$133$	−3.40860	+	1.64149i	−0.295563	+	0.142336i
$134$	−0.944855	−	1.18481i	−0.0816230	−	0.102352i
$135$	−60.7415			−5.22780
$136$	−2.04885			−0.175688
$137$	−3.17639	−	3.98306i	−0.271377	−	0.340296i	0.627404	−	0.778694i	$-0.284117\pi$
$137$	−3.17639	−	3.98306i	−0.271377	−	0.340296i	−0.898781	+	0.438398i	$0.855546\pi$
$138$	6.58577	+	3.17154i	0.560618	+	0.269979i
$139$	6.09586	−	7.64397i	0.517044	−	0.648353i	−0.452934	−	0.891544i	$-0.649623\pi$
$139$	6.09586	−	7.64397i	0.517044	−	0.648353i	0.969978	+	0.243191i	$0.0781942\pi$
$140$	−6.21846	−	2.99465i	−0.525556	−	0.253094i
$141$	7.21862	+	31.6268i	0.607917	+	2.66346i
$142$	7.55368	+	9.47201i	0.633891	+	0.794874i
$143$	4.26556	+	18.6886i	0.356704	+	1.56282i
$144$	33.8618	−	16.3070i	2.82182	−	1.35892i
$145$	4.38409	−	5.49747i	0.364079	−	0.456540i
$146$	12.3098	−	15.4359i	1.01876	−	1.27749i
$147$	1.52383	−	6.67635i	0.125684	−	0.550656i
$148$	−0.492648	+	0.237247i	−0.0404954	+	0.0195016i
$149$	9.01433	+	4.34107i	0.738483	+	0.355635i	0.765014	−	0.644013i	$-0.222732\pi$
$149$	9.01433	+	4.34107i	0.738483	+	0.355635i	−0.0265314	+	0.999648i	$0.508446\pi$
$150$	−13.8208	+	60.5530i	−1.12847	+	4.94413i
$151$	−2.85747	+	12.5194i	−0.232537	+	1.01881i	0.714989	+	0.699136i	$0.246432\pi$
$151$	−2.85747	+	12.5194i	−0.232537	+	1.01881i	−0.947526	+	0.319677i	$0.896426\pi$
$152$	−3.15607	−	1.51988i	−0.255991	−	0.123279i
$153$	−6.84564	+	3.29669i	−0.553437	+	0.266521i
$154$	−2.62650	+	11.5075i	−0.211649	+	0.927297i
$155$	7.87799	−	9.87868i	0.632775	−	0.793475i
$156$	9.32942	−	11.6987i	0.746951	−	0.936648i
$157$	10.0464	−	4.83809i	0.801790	−	0.386122i	0.0123305	−	0.999924i	$-0.496075\pi$
$157$	10.0464	−	4.83809i	0.801790	−	0.386122i	0.789460	+	0.613802i	$0.210361\pi$
$158$	0.513866	+	2.25140i	0.0408810	+	0.179111i
$159$	22.2983	+	27.9612i	1.76837	+	2.21747i
$160$	−3.73182	−	16.3502i	−0.295026	−	1.29259i
$161$	−2.69028	−	1.29557i	−0.212024	−	0.102105i
$162$	26.9078	−	33.7413i	2.11408	−	2.65097i
$163$	7.37401	+	3.55113i	0.577577	+	0.278146i	0.699780	−	0.714359i	$-0.253282\pi$
$163$	7.37401	+	3.55113i	0.577577	+	0.278146i	−0.122203	+	0.992505i	$0.538996\pi$
$164$	−4.43730	−	5.56420i	−0.346495	−	0.434491i
$165$	42.3486			3.29683
$166$	−3.94532			−0.306216
$167$	15.4324	+	19.3516i	1.19419	+	1.49747i	0.822164	+	0.569251i	$0.192767\pi$
$167$	15.4324	+	19.3516i	1.19419	+	1.49747i	0.372030	+	0.928221i	$0.378662\pi$
$168$	−13.2977	+	6.40382i	−1.02594	+	0.494065i
$169$	−5.06367	+	22.1854i	−0.389513	+	1.70657i
$170$	1.50245	+	6.58268i	0.115233	+	0.504868i
$171$	−12.9906			−0.993416
$172$	−3.53214	+	3.59589i	−0.269323	+	0.274184i
$173$	−2.68203			−0.203911			−0.101955	−	0.994789i	$-0.532510\pi$
$173$	−2.68203			−0.203911			−0.101955	+	0.994789i	$0.532510\pi$
$174$	2.08870	+	9.15117i	0.158344	+	0.693749i
$175$	5.64580	−	24.7359i	0.426782	−	1.86986i
$176$	−14.2869	+	6.88019i	−1.07691	+	0.518614i
$177$	−19.3782	−	24.2995i	−1.45655	−	1.82646i
$178$	3.76861			0.282470
$179$	−12.9895			−0.970881			−0.485440	−	0.874270i	$-0.661341\pi$
$179$	−12.9895			−0.970881			−0.485440	+	0.874270i	$0.661341\pi$
$180$	−14.7763	−	18.5289i	−1.10136	−	1.38106i
$181$	4.01626	+	1.93413i	0.298527	+	0.143763i	0.577151	−	0.816637i	$-0.304164\pi$
$181$	4.01626	+	1.93413i	0.298527	+	0.143763i	−0.278625	+	0.960400i	$0.589879\pi$
$182$	−13.7271	+	17.2133i	−1.01752	+	1.27593i
$183$	−37.4195	−	18.0203i	−2.76613	−	1.33210i
$184$	−0.615219	−	2.69545i	−0.0453546	−	0.198711i
$185$	−1.79976	−	2.25682i	−0.132321	−	0.165925i
$186$	3.75328	+	16.4442i	0.275204	+	1.20575i
$187$	2.88829	−	1.39093i	0.211213	−	0.101715i
$188$	−4.77569	+	5.98853i	−0.348303	+	0.436758i
$189$	−20.6519	+	25.8967i	−1.50221	+	1.88371i
$190$	−2.56877	+	11.2545i	−0.186358	+	0.816490i
$191$	9.69250	−	4.66766i	0.701325	−	0.337740i	−0.0490101	−	0.998798i	$-0.515607\pi$
$191$	9.69250	−	4.66766i	0.701325	−	0.337740i	0.750335	+	0.661058i	$0.229892\pi$
$192$	−8.84649	−	4.26025i	−0.638440	−	0.307457i
$193$	−0.929207	+	4.07112i	−0.0668858	+	0.293046i	−0.997297	−	0.0734706i	$-0.976592\pi$
$193$	−0.929207	+	4.07112i	−0.0668858	+	0.293046i	0.930412	+	0.366516i	$0.119450\pi$
$194$	−2.89816	+	12.6977i	−0.208076	+	0.911641i
$195$	71.1692	+	34.2733i	5.09653	+	2.45436i
$196$	1.45680	−	0.701558i	0.104057	−	0.0501113i
$197$	−2.47020	+	10.8226i	−0.175994	+	0.771082i	0.807460	+	0.589923i	$0.200842\pi$
$197$	−2.47020	+	10.8226i	−0.175994	+	0.771082i	−0.983454	+	0.181159i	$0.942015\pi$
$198$	−25.2697	+	31.6872i	−1.79584	+	2.25191i
$199$	12.2005	−	15.2989i	0.864869	−	1.08451i	−0.130787	−	0.991410i	$-0.541751\pi$
$199$	12.2005	−	15.2989i	0.864869	−	1.08451i	0.995657	−	0.0931012i	$-0.0296780\pi$
$200$	21.1658	−	10.1929i	1.49665	−	0.720748i
$201$	0.659758	+	2.89059i	0.0465358	+	0.203887i
$202$	−7.05376	−	8.84513i	−0.496301	−	0.622341i
$203$	−0.853231	−	3.73825i	−0.0598851	−	0.262374i
$204$	−2.25456	−	1.08574i	−0.157851	−	0.0760168i
$205$	23.4248	−	29.3738i	1.63606	−	2.05155i
$206$	−5.92841	−	2.85497i	−0.413052	−	0.198915i
$207$	−6.39266	−	8.01614i	−0.444320	−	0.557160i
$208$	−29.5781			−2.05087
$209$	5.48095			0.379125
$210$	30.3259	+	38.0275i	2.09269	+	2.62415i
$211$	−16.9706	+	8.17260i	−1.16830	+	0.562625i	−0.914482	−	0.404626i	$-0.867402\pi$
$211$	−16.9706	+	8.17260i	−1.16830	+	0.562625i	−0.253821	+	0.967251i	$0.581687\pi$
$212$	−1.87905	+	8.23264i	−0.129053	+	0.565420i
$213$	−5.27446	−	23.1089i	−0.361400	−	1.58340i
$214$	12.0276			0.822189
$215$	−22.6562	−	13.9548i	−1.54514	−	0.951709i
$216$	−30.6692			−2.08677
$217$	−1.53321	−	6.71745i	−0.104081	−	0.456010i
$218$	1.22671	−	5.37458i	0.0830835	−	0.364013i
$219$	−34.8023	+	16.7599i	−2.35172	+	1.13253i
$220$	6.23437	+	7.81765i	0.420321	+	0.527066i
$221$	5.97963			0.402233
$222$	3.85335			0.258620
$223$	16.7458	+	20.9986i	1.12138	+	1.40617i	0.902646	+	0.430384i	$0.141622\pi$
$223$	16.7458	+	20.9986i	1.12138	+	1.40617i	0.218736	+	0.975784i	$0.429807\pi$
$224$	−8.23958	−	3.96797i	−0.550530	−	0.265121i
$225$	54.3185	−	68.1132i	3.62123	−	4.54088i
$226$	6.95557	+	3.34963i	0.462678	+	0.222814i
$227$	−3.43409	−	15.0457i	−0.227928	−	0.998620i	−0.951326	−	0.308188i	$-0.900278\pi$
$227$	−3.43409	−	15.0457i	−0.227928	−	0.998620i	0.723397	−	0.690432i	$-0.242580\pi$
$228$	−2.66751	−	3.34495i	−0.176660	−	0.221525i
$229$	2.49048	+	10.9115i	0.164576	+	0.721053i	0.988105	+	0.153779i	$0.0491445\pi$
$229$	2.49048	+	10.9115i	0.164576	+	0.721053i	−0.823530	+	0.567273i	$0.807998\pi$
$230$	−8.20895	+	3.95322i	−0.541282	+	0.260668i
$231$	14.3984	−	18.0550i	0.947346	−	1.18793i
$232$	2.21358	−	2.77575i	0.145329	−	0.182237i
$233$	−6.07268	+	26.6061i	−0.397834	+	1.74303i	0.238060	+	0.971250i	$0.423488\pi$
$233$	−6.07268	+	26.6061i	−0.397834	+	1.74303i	−0.635895	+	0.771776i	$0.719369\pi$
$234$	−68.1120	+	32.8010i	−4.45262	+	2.14427i
$235$	−36.4312	−	17.5444i	−2.37651	−	1.14447i
$236$	1.63297	−	7.15451i	0.106297	−	0.465719i
$237$	1.00538	−	4.40484i	0.0653062	−	0.286125i
$238$	3.31731	+	1.59753i	0.215029	+	0.103553i
$239$	−0.858071	+	0.413225i	−0.0555040	+	0.0267293i	−0.461430	−	0.887177i	$-0.652663\pi$
$239$	−0.858071	+	0.413225i	−0.0555040	+	0.0267293i	0.405926	+	0.913906i	$0.366949\pi$
$240$	−14.5404	+	63.7056i	−0.938578	+	4.11218i
$241$	−10.9859	+	13.7759i	−0.707664	+	0.887382i	−0.997570	−	0.0696730i	$-0.977804\pi$
$241$	−10.9859	+	13.7759i	−0.707664	+	0.887382i	0.289906	+	0.957055i	$0.406376\pi$
$242$	−0.750194	+	0.940714i	−0.0482243	+	0.0604714i
$243$	−35.6146	+	17.1511i	−2.28468	+	1.10024i
$244$	−2.18214	−	9.56058i	−0.139697	−	0.612054i
$245$	5.32202	+	6.67361i	0.340012	+	0.426361i
$246$	11.1602	+	48.8960i	0.711548	+	3.11750i
$247$	9.21104	+	4.43581i	0.586085	+	0.282244i
$248$	3.97770	−	4.98788i	0.252584	−	0.316730i
$249$	6.95457	+	3.34915i	0.440728	+	0.212244i
$250$	−27.2207	−	34.1336i	−1.72159	−	2.15880i
$251$	−8.80409			−0.555709			−0.277855	−	0.960623i	$-0.589623\pi$
$251$	−8.80409			−0.555709			−0.277855	+	0.960623i	$0.589623\pi$
$252$	−12.9236			−0.814108
$253$	2.69717	+	3.38214i	0.169569	+	0.212633i
$254$	−19.1064	+	9.20115i	−1.19884	+	0.577331i
$255$	2.93954	−	12.8790i	0.184081	−	0.806512i
$256$	−3.57638	−	15.6691i	−0.223524	−	0.979321i
$257$	2.49001			0.155322			0.0776612	−	0.996980i	$-0.475255\pi$
$257$	2.49001			0.155322			0.0776612	+	0.996980i	$0.475255\pi$
$258$	33.4213	−	12.0312i	2.08072	−	0.749027i
$259$	−1.57409			−0.0978093
$260$	4.15028	+	18.1836i	0.257389	+	1.12770i
$261$	2.92975	−	12.8361i	0.181347	−	0.794532i
$262$	−16.8206	+	8.10038i	−1.03918	+	0.500443i
$263$	−5.96565	−	7.48069i	−0.367858	−	0.461279i	0.563109	−	0.826383i	$-0.309605\pi$
$263$	−5.96565	−	7.48069i	−0.367858	−	0.461279i	−0.930967	+	0.365103i	$0.881034\pi$
$264$	21.3824			1.31599
$265$	−44.5783			−2.73843
$266$	3.92492	+	4.92169i	0.240652	+	0.301768i
$267$	−6.64309	−	3.19914i	−0.406550	−	0.195784i
$268$	−0.436483	+	0.547332i	−0.0266624	+	0.0334336i
$269$	−0.296614	−	0.142842i	−0.0180849	−	0.00870922i	0.424819	−	0.905278i	$-0.360338\pi$
$269$	−0.296614	−	0.142842i	−0.0180849	−	0.00870922i	−0.442904	+	0.896569i	$0.646052\pi$
$270$	22.4901	+	98.5356i	1.36870	+	5.99669i
$271$	1.82530	+	2.28885i	0.110879	+	0.139038i	0.834174	−	0.551501i	$-0.185945\pi$
$271$	1.82530	+	2.28885i	0.110879	+	0.139038i	−0.723295	+	0.690539i	$0.757373\pi$
$272$	1.10070	+	4.82247i	0.0667395	+	0.292405i
$273$	38.8095	−	18.6897i	2.34886	−	1.13115i
$274$	−5.28529	+	6.62754i	−0.319296	+	0.400384i
$275$	−22.9179	+	28.7381i	−1.38200	+	1.73297i
$276$	0.751398	−	3.29209i	0.0452288	−	0.198160i
$277$	−21.2374	+	10.2274i	−1.27603	+	0.614503i	−0.944367	−	0.328895i	$-0.893324\pi$
$277$	−21.2374	+	10.2274i	−1.27603	+	0.614503i	−0.331663	+	0.943398i	$0.607610\pi$
$278$	−14.6572	−	7.05853i	−0.879080	−	0.423343i
$279$	5.26461	−	23.0658i	0.315184	−	1.38091i
$280$	4.09371	−	17.9357i	0.244646	−	1.07187i
$281$	−6.67982	−	3.21683i	−0.398485	−	0.191900i	0.223899	−	0.974612i	$-0.428121\pi$
$281$	−6.67982	−	3.21683i	−0.398485	−	0.191900i	−0.622384	+	0.782712i	$0.713836\pi$
$282$	48.6327	−	23.4203i	2.89603	−	1.39466i
$283$	−1.73895	+	7.61883i	−0.103370	+	0.452892i	0.896580	+	0.442882i	$0.146044\pi$
$283$	−1.73895	+	7.61883i	−0.103370	+	0.452892i	−0.999950	+	0.0100109i	$0.996813\pi$
$284$	3.48948	−	4.37567i	0.207063	−	0.259648i
$285$	14.0820	−	17.6582i	0.834143	−	1.04598i
$286$	28.7376	−	13.8393i	1.69929	−	0.818334i
$287$	−4.55894	−	19.9740i	−0.269106	−	1.17903i
$288$	−19.5789	−	24.5512i	−1.15370	−	1.44669i
$289$	−0.222521	−	0.974928i	−0.0130895	−	0.0573487i
$290$	−10.5413	−	5.07643i	−0.619008	−	0.298098i
$291$	15.8877	−	19.9225i	0.931351	−	1.16788i
$292$	−8.21735	−	3.95727i	−0.480884	−	0.231582i
$293$	7.56801	+	9.48998i	0.442128	+	0.554411i	0.952103	−	0.305779i	$-0.0989168\pi$
$293$	7.56801	+	9.48998i	0.442128	+	0.554411i	−0.509975	+	0.860189i	$0.670345\pi$
$294$	−11.3947			−0.664551
$295$	38.7404			2.25555
$296$	−0.908720	−	1.13950i	−0.0528183	−	0.0662320i
$297$	43.2346	−	20.8207i	2.50873	−	1.20814i
$298$	3.70450	−	16.2305i	0.214596	−	0.940207i
$299$	1.79553	+	7.86673i	0.103838	+	0.454945i
$300$	28.6923			1.65655
$301$	−13.6526	+	4.91472i	−0.786921	+	0.283280i
$302$	21.3671			1.22954
$303$	4.92539	+	21.5795i	0.282956	+	1.23971i
$304$	−1.88188	+	8.24507i	−0.107933	+	0.472887i
$305$	46.6422	−	22.4617i	2.67072	−	1.28615i
$306$	7.88259	+	9.88445i	0.450618	+	0.565057i
$307$	−29.0395			−1.65737			−0.828686	−	0.559714i	$-0.810911\pi$
$307$	−29.0395			−1.65737			−0.828686	+	0.559714i	$0.810911\pi$
$308$	5.45267			0.310695
$309$	8.02669	+	10.0652i	0.456623	+	0.572587i
$310$	−18.9422	−	9.12210i	−1.07585	−	0.518100i
$311$	12.1418	−	15.2253i	0.688496	−	0.863347i	−0.307609	−	0.951513i	$-0.599529\pi$
$311$	12.1418	−	15.2253i	0.688496	−	0.863347i	0.996106	+	0.0881655i	$0.0281004\pi$
$312$	35.9343	+	17.3050i	2.03438	+	0.979704i
$313$	−3.56278	−	15.6095i	−0.201380	−	0.882304i	−0.970098	−	0.242715i	$-0.921962\pi$
$313$	−3.56278	−	15.6095i	−0.201380	−	0.882304i	0.768718	−	0.639588i	$-0.220895\pi$
$314$	−11.5682	−	14.5061i	−0.652831	−	0.818624i
$315$	−15.1814	−	66.5139i	−0.855372	−	3.74763i
$316$	0.961150	−	0.462866i	0.0540689	−	0.0260382i
$317$	−14.5746	+	18.2760i	−0.818593	+	1.02648i	0.180486	+	0.983578i	$0.442233\pi$
$317$	−14.5746	+	18.2760i	−0.818593	+	1.02648i	−0.999079	+	0.0429060i	$0.986338\pi$
$318$	37.1029	−	46.5255i	2.08063	−	2.60902i
$319$	−1.23611	+	5.41575i	−0.0692088	+	0.303224i
$320$	11.0269	−	5.31026i	0.616420	−	0.296852i
$321$	−21.2015	−	10.2101i	−1.18335	−	0.569873i
$322$	−1.10559	+	4.84391i	−0.0616122	+	0.269941i
$323$	0.380449	−	1.66685i	0.0211687	−	0.0927462i
$324$	−17.9623	−	8.65017i	−0.997904	−	0.480565i
$325$	−61.7729	+	29.7482i	−3.42654	+	1.65014i
$326$	3.03040	−	13.2770i	0.167838	−	0.735348i
$327$	−6.72481	+	8.43264i	−0.371883	+	0.466326i
$328$	11.8275	−	14.8312i	0.653064	−	0.818916i
$329$	−19.8664	+	9.56717i	−1.09527	+	0.527455i
$330$	−15.6800	−	68.6984i	−0.863154	−	3.78173i
$331$	20.5645	+	25.7871i	1.13033	+	1.41739i	0.895338	+	0.445388i	$0.146934\pi$
$331$	20.5645	+	25.7871i	1.13033	+	1.41739i	0.234990	+	0.971998i	$0.424494\pi$
$332$	0.405560	+	1.77688i	0.0222580	+	0.0975187i
$333$	−4.86971	−	2.34513i	−0.266859	−	0.128512i
$334$	25.6784	−	32.1997i	1.40506	−	1.76189i
$335$	−3.32970	−	1.60350i	−0.181921	−	0.0876085i
$336$	22.2167	+	27.8589i	1.21202	+	1.51983i
$337$	34.1059			1.85786			0.928932	−	0.370250i	$-0.120728\pi$
$337$	34.1059			1.85786			0.928932	+	0.370250i	$0.120728\pi$
$338$	37.8643			2.05955
$339$	−9.41740	−	11.8090i	−0.511483	−	0.641379i
$340$	2.81023	−	1.35334i	0.152406	−	0.0733950i
$341$	−2.22123	+	9.73183i	−0.120286	+	0.527008i
$342$	4.80989	+	21.0735i	0.260089	+	1.13953i
$343$	20.1443			1.08769
$344$	−11.4394	−	7.04596i	−0.616772	−	0.379893i
$345$	17.8261			0.959725
$346$	0.993046	+	4.35082i	0.0533865	+	0.233901i
$347$	−3.39441	+	14.8719i	−0.182222	+	0.798365i	0.798349	+	0.602196i	$0.205707\pi$
$347$	−3.39441	+	14.8719i	−0.182222	+	0.798365i	−0.980570	+	0.196169i	$0.937150\pi$
$348$	3.90676	−	1.88139i	0.209424	−	0.100853i
$349$	4.15589	+	5.21132i	0.222460	+	0.278955i	0.880519	−	0.474010i	$-0.157194\pi$
$349$	4.15589	+	5.21132i	0.222460	+	0.278955i	−0.658060	+	0.752966i	$0.728623\pi$
$350$	−42.2172			−2.25661
$351$	89.5086			4.77762
$352$	8.26066	+	10.3585i	0.440295	+	0.552112i
$353$	−2.60019	−	1.25219i	−0.138394	−	0.0666471i	0.363405	−	0.931631i	$-0.381614\pi$
$353$	−2.60019	−	1.25219i	−0.138394	−	0.0666471i	−0.501799	+	0.864984i	$0.667328\pi$
$354$	−32.2439	+	40.4326i	−1.71375	+	2.14897i
$355$	26.6194	+	12.8192i	1.41281	+	0.680374i
$356$	−0.387396	−	1.69729i	−0.0205319	−	0.0899563i
$357$	−4.49142	−	5.63206i	−0.237711	−	0.298080i
$358$	4.80948	+	21.0717i	0.254189	+	1.11368i
$359$	−4.52126	+	2.17732i	−0.238623	+	0.114915i	−0.549374	−	0.835577i	$-0.685134\pi$
$359$	−4.52126	+	2.17732i	−0.238623	+	0.114915i	0.310751	+	0.950491i	$0.399419\pi$
$360$	39.3858	−	49.3882i	2.07581	−	2.60299i
$361$	−10.0238	+	12.5694i	−0.527566	+	0.661547i
$362$	1.65051	−	7.23136i	0.0867490	−	0.380072i
$363$	2.12096	−	1.02140i	0.111322	−	0.0536096i
$364$	9.16351	+	4.41292i	0.480299	+	0.231300i
$365$	10.7140	−	46.9410i	0.560795	−	2.45700i
$366$	−15.3778	+	67.3745i	−0.803810	+	3.52172i
$367$	5.30832	+	2.55635i	0.277092	+	0.133440i	0.567269	−	0.823533i	$-0.308000\pi$
$367$	5.30832	+	2.55635i	0.277092	+	0.133440i	−0.290177	+	0.956973i	$0.593714\pi$
$368$	−6.01387	+	2.89613i	−0.313495	+	0.150971i
$369$	15.6541	−	68.5849i	0.814918	−	3.57039i
$370$	−2.99467	+	3.75520i	−0.155685	+	0.195223i
$371$	−15.1565	+	19.0057i	−0.786887	+	0.986725i
$372$	7.02025	−	3.38077i	0.363983	−	0.175285i
$373$	6.55466	+	28.7179i	0.339388	+	1.48695i	0.800349	+	0.599534i	$0.204647\pi$
$373$	6.55466	+	28.7179i	0.339388	+	1.48695i	−0.460962	+	0.887420i	$0.652495\pi$
$374$	−3.32579	−	4.17041i	−0.171973	−	0.215647i
$375$	19.0072	+	83.2761i	0.981528	+	4.30036i
$376$	−18.3946	−	8.85837i	−0.948629	−	0.456836i
$377$	−6.46039	+	8.10107i	−0.332727	+	0.417226i
$378$	49.6566	+	23.9133i	2.55406	+	1.22997i
$379$	−6.48111	−	8.12705i	−0.332912	−	0.417459i	0.586998	−	0.809589i	$-0.300310\pi$
$379$	−6.48111	−	8.12705i	−0.332912	−	0.417459i	−0.919910	+	0.392130i	$0.871738\pi$
$380$	5.33283			0.273568
$381$	41.4903			2.12561
$382$	−11.1607	−	13.9950i	−0.571030	−	0.716049i
$383$	7.80344	−	3.75794i	0.398737	−	0.192022i	−0.223759	−	0.974644i	$-0.571833\pi$
$383$	7.80344	−	3.75794i	0.398737	−	0.192022i	0.622496	+	0.782623i	$0.286119\pi$
$384$	−9.62335	+	42.1627i	−0.491090	+	2.15160i
$385$	6.40526	+	28.0633i	0.326442	+	1.43024i
$386$	6.94827			0.353658
$387$	−49.5586	−	5.13551i	−2.51921	−	0.261053i
$388$	6.01665			0.305449
$389$	−6.86857	−	30.0932i	−0.348250	−	1.52578i	−0.781151	−	0.624342i	$-0.785367\pi$
$389$	−6.86857	−	30.0932i	−0.348250	−	1.52578i	0.432901	−	0.901442i	$-0.357490\pi$
$390$	29.2475	−	128.142i	1.48100	−	6.48870i
$391$	1.21579	−	0.585492i	0.0614850	−	0.0296096i
$392$	2.68716	+	3.36959i	0.135722	+	0.170190i
$393$	36.5267			1.84253
$394$	18.4712			0.930568
$395$	3.51130	+	4.40303i	0.176673	+	0.221541i
$396$	16.8687	+	8.12355i	0.847685	+	0.408224i
$397$	−0.404620	+	0.507377i	−0.0203073	+	0.0254645i	−0.791881	−	0.610675i	$-0.790898\pi$
$397$	−0.404620	+	0.507377i	−0.0203073	+	0.0254645i	0.771574	+	0.636139i	$0.219470\pi$
$398$	−29.3354	−	14.1272i	−1.47045	−	0.708133i
$399$	−2.74063	−	12.0075i	−0.137203	−	0.601126i
$400$	−35.3623	−	44.3429i	−1.76811	−	2.21714i
$401$	2.82392	+	12.3724i	0.141020	+	0.617849i	0.995199	+	0.0978703i	$0.0312030\pi$
$401$	2.82392	+	12.3724i	0.141020	+	0.617849i	−0.854179	+	0.519979i	$0.825940\pi$
$402$	4.44487	−	2.14054i	0.221690	−	0.106760i
$403$	−11.6090	+	14.5572i	−0.578285	+	0.725147i
$404$	−3.25854	+	4.08608i	−0.162118	+	0.203290i
$405$	23.4196	−	102.608i	1.16373	−	5.09863i
$406$	−5.74832	+	2.76825i	−0.285284	+	0.137386i
$407$	2.05461	+	0.989449i	0.101843	+	0.0490452i
$408$	1.48421	−	6.50276i	0.0734794	−	0.321934i
$409$	2.46908	−	10.8178i	0.122088	−	0.534904i	−0.876481	−	0.481436i	$-0.840115\pi$
$409$	2.46908	−	10.8178i	0.122088	−	0.534904i	0.998570	−	0.0534677i	$-0.0170274\pi$
$410$	−56.3238	−	27.1241i	−2.78163	−	1.33956i
$411$	14.9426	−	7.19600i	0.737066	−	0.354952i
$412$	−0.676397	+	2.96349i	−0.0333237	+	0.146001i
$413$	13.1716	−	16.5167i	0.648134	−	0.812734i
$414$	−10.6369	+	13.3383i	−0.522777	+	0.655542i
$415$	−8.66865	+	4.17460i	−0.425527	+	0.204923i
$416$	5.49920	+	24.0936i	0.269621	+	1.18128i
$417$	19.8449	+	24.8847i	0.971809	+	1.21861i
$418$	−2.02937	−	8.89126i	−0.0992599	−	0.434886i
$419$	17.7732	+	8.55911i	0.868276	+	0.418140i	0.814329	−	0.580404i	$-0.197105\pi$
$419$	17.7732	+	8.55911i	0.868276	+	0.418140i	0.0539474	+	0.998544i	$0.482820\pi$
$420$	14.0093	−	17.5671i	0.683583	−	0.857186i
$421$	−29.9219	−	14.4096i	−1.45830	−	0.702281i	−0.474288	−	0.880370i	$-0.657294\pi$
$421$	−29.9219	−	14.4096i	−1.45830	−	0.702281i	−0.984014	+	0.178089i	$0.943009\pi$
$422$	19.5412	+	24.5039i	0.951251	+	1.19283i
$423$	−75.7136			−3.68132
$424$	−22.5082			−1.09309
$425$	7.14897	+	8.96452i	0.346776	+	0.434843i
$426$	−35.5347	+	17.1126i	−1.72166	+	0.829109i
$427$	6.28182	−	27.5225i	0.303999	−	1.33191i
$428$	−1.23638	−	5.41693i	−0.0597627	−	0.261837i
$429$	−62.4049			−3.01294
$430$	−14.2490	+	41.9201i	−0.687146	+	2.02157i
$431$	4.13426			0.199140			0.0995702	−	0.995031i	$-0.468253\pi$
$431$	4.13426			0.199140			0.0995702	+	0.995031i	$0.468253\pi$
$432$	16.4762	+	72.1872i	0.792714	+	3.47311i
$433$	2.57924	−	11.3004i	0.123950	−	0.543061i	−0.874377	−	0.485247i	$-0.838730\pi$
$433$	2.57924	−	11.3004i	0.123950	−	0.543061i	0.998327	−	0.0578142i	$-0.0184131\pi$
$434$	−10.3294	+	4.97440i	−0.495829	+	0.238779i
$435$	14.2723	+	17.8969i	0.684303	+	0.858089i
$436$	−2.54668			−0.121964
$437$	2.30713			0.110365
$438$	40.0740	+	50.2512i	1.91481	+	2.40110i
$439$	−7.35900	−	3.54391i	−0.351226	−	0.169142i	0.249949	−	0.968259i	$-0.419586\pi$
$439$	−7.35900	−	3.54391i	−0.351226	−	0.169142i	−0.601175	+	0.799118i	$0.705300\pi$
$440$	−16.6175	+	20.8377i	−0.792209	+	0.993398i
$441$	14.4001	+	6.93474i	0.685721	+	0.330226i
$442$	−2.21401	−	9.70023i	−0.105310	−	0.461393i
$443$	5.86951	+	7.36013i	0.278869	+	0.349690i	0.901464	−	0.432853i	$-0.142493\pi$
$443$	5.86951	+	7.36013i	0.278869	+	0.349690i	−0.622596	+	0.782544i	$0.713922\pi$
$444$	−0.396106	−	1.73545i	−0.0187984	−	0.0823610i
$445$	8.28039	−	3.98763i	0.392528	−	0.189032i
$446$	27.8639	−	34.9402i	1.31939	−	1.65447i
$447$	−20.3080	+	25.4654i	−0.960535	+	1.20447i
$448$	1.48511	−	6.50670i	0.0701649	−	0.307413i
$449$	3.19283	−	1.53759i	0.150679	−	0.0725633i	−0.357025	−	0.934095i	$-0.616209\pi$
$449$	3.19283	−	1.53759i	0.150679	−	0.0725633i	0.507704	+	0.861532i	$0.330494\pi$
$450$	−130.606	−	62.8965i	−6.15683	−	2.96497i
$451$	−6.60471	+	28.9371i	−0.311003	+	1.36260i
$452$	0.793590	−	3.47695i	0.0373274	−	0.163542i
$453$	−37.6646	−	18.1383i	−1.76964	−	0.852213i
$454$	−23.1359	+	11.1416i	−1.08582	+	0.522903i
$455$	−11.9476	+	52.3458i	−0.560112	+	2.45401i
$456$	7.11016	−	8.91586i	0.332964	−	0.417523i
$457$	7.97785	−	10.0039i	0.373188	−	0.467963i	−0.559404	−	0.828895i	$-0.688970\pi$
$457$	7.97785	−	10.0039i	0.373188	−	0.467963i	0.932592	+	0.360932i	$0.117541\pi$
$458$	16.7787	−	8.08018i	0.784015	−	0.377562i
$459$	−3.33090	−	14.5936i	−0.155473	−	0.681172i
$460$	2.62428	+	3.29074i	0.122357	+	0.153431i
$461$	−1.98304	−	8.68829i	−0.0923596	−	0.404654i	0.907523	−	0.420003i	$-0.137971\pi$
$461$	−1.98304	−	8.68829i	−0.0923596	−	0.404654i	−0.999882	+	0.0153495i	$0.995114\pi$
$462$	−34.6202	−	16.6722i	−1.61068	−	0.775662i
$463$	21.5997	−	27.0851i	1.00382	−	1.25875i	0.0380737	−	0.999275i	$-0.487878\pi$
$463$	21.5997	−	27.0851i	1.00382	−	1.25875i	0.965749	−	0.259479i	$-0.0835507\pi$
$464$	−7.72257	−	3.71899i	−0.358511	−	0.172650i
$465$	25.6466	+	32.1598i	1.18933	+	1.49137i
$466$	45.4093			2.10354
$467$	−29.3397			−1.35768			−0.678840	−	0.734286i	$-0.737517\pi$
$467$	−29.3397			−1.35768			−0.678840	+	0.734286i	$0.737517\pi$
$468$	21.7743	+	27.3042i	1.00652	+	1.26214i
$469$	−1.81573	+	0.874409i	−0.0838425	+	0.0403764i
$470$	−14.9717	+	65.5952i	−0.690592	+	3.02568i
$471$	8.07766	+	35.3905i	0.372199	+	1.63071i
$472$	19.5605			0.900347
$473$	20.9096	+	2.16676i	0.961424	+	0.0996276i
$474$	−7.51784			−0.345306
$475$	4.36224	+	19.1122i	0.200153	+	0.876929i
$476$	0.378485	−	1.65825i	0.0173478	−	0.0760059i
$477$	−75.2044	+	36.2165i	−3.44337	+	1.65824i
$478$	0.988048	+	1.23897i	0.0451923	+	0.0566693i
$479$	28.6726			1.31008			0.655042	−	0.755592i	$-0.272651\pi$
$479$	28.6726			1.31008			0.655042	+	0.755592i	$0.272651\pi$
$480$	54.5963			2.49197
$481$	2.65212	+	3.32565i	0.120926	+	0.151637i
$482$	26.4150	+	12.7208i	1.20317	+	0.579417i
$483$	6.06082	−	7.60003i	0.275777	−	0.345813i
$484$	0.500791	+	0.241168i	0.0227632	+	0.0109622i
$485$	7.06777	+	30.9659i	0.320931	+	1.40609i
$486$	41.0093	+	51.4241i	1.86022	+	2.33264i
$487$	−0.239572	−	1.04963i	−0.0108560	−	0.0475634i	0.969210	−	0.246236i	$-0.0791940\pi$
$487$	−0.239572	−	1.04963i	−0.0108560	−	0.0475634i	−0.980066	+	0.198673i	$0.936337\pi$
$488$	23.5502	−	11.3412i	1.06607	−	0.513392i
$489$	−16.6126	+	20.8315i	−0.751246	+	0.942033i
$490$	8.85548	−	11.1044i	0.400050	−	0.501647i
$491$	−0.858328	+	3.76058i	−0.0387358	+	0.169713i	−0.990596	−	0.136820i	$-0.956312\pi$
$491$	−0.858328	+	3.76058i	−0.0387358	+	0.169713i	0.951860	+	0.306533i	$0.0991689\pi$
$492$	20.8744	−	10.0526i	0.941089	−	0.453204i
$493$	1.56122	+	0.751845i	0.0703140	+	0.0338614i
$494$	3.78534	−	16.5847i	0.170311	−	0.746180i
$495$	−21.9938	+	96.3612i	−0.988548	+	4.33111i
$496$	−13.8771	−	6.68284i	−0.623099	−	0.300069i
$497$	14.5159	−	6.99049i	0.651128	−	0.313567i
$498$	2.85803	−	12.5218i	0.128071	−	0.561117i
$499$	15.1981	−	19.0578i	0.680362	−	0.853146i	−0.315026	−	0.949083i	$-0.602013\pi$
$499$	15.1981	−	19.0578i	0.680362	−	0.853146i	0.995387	+	0.0959367i	$0.0305846\pi$
$500$	−12.5748	+	15.7683i	−0.562362	+	0.705179i
$501$	−72.5984	+	34.9616i	−3.24346	+	1.56197i
$502$	3.25980	+	14.2821i	0.145492	+	0.637442i
$503$	−19.9064	−	24.9619i	−0.887585	−	1.11300i	−0.992947	−	0.118562i	$-0.962172\pi$
$503$	−19.9064	−	24.9619i	−0.887585	−	1.11300i	0.105362	−	0.994434i	$-0.466400\pi$
$504$	−7.66526	−	33.5837i	−0.341438	−	1.49594i
$505$	−24.8577	−	11.9708i	−1.10615	−	0.532695i
$506$	4.48790	−	5.62765i	0.199511	−	0.250179i
$507$	−66.7449	−	32.1427i	−2.96425	−	1.42751i
$508$	6.10802	+	7.65921i	0.270999	+	0.339823i
$509$	23.4813			1.04079			0.520395	−	0.853926i	$-0.325785\pi$
$509$	23.4813			1.04079			0.520395	+	0.853926i	$0.325785\pi$
$510$	−21.9808			−0.973327
$511$	−16.3702	−	20.5276i	−0.724176	−	0.908088i
$512$	−0.156821	+	0.0755209i	−0.00693056	+	0.00333758i
$513$	5.69491	−	24.9510i	0.251436	−	1.10161i
$514$	−0.921948	−	4.03932i	−0.0406654	−	0.178167i
$515$	−16.0468			−0.707106
$516$	−8.85409	−	13.8154i	−0.389780	−	0.608188i
$517$	31.9448			1.40493
$518$	0.582822	+	2.55351i	0.0256078	+	0.112195i
$519$	1.94289	−	8.51235i	0.0852833	−	0.373650i
$520$	−44.7909	+	21.5702i	−1.96421	+	0.945914i
$521$	−7.69881	−	9.65401i	−0.337291	−	0.422950i	0.584042	−	0.811723i	$-0.301470\pi$
$521$	−7.69881	−	9.65401i	−0.337291	−	0.422950i	−0.921333	+	0.388774i	$0.872899\pi$
$522$	−21.9076			−0.958869
$523$	6.72618			0.294115			0.147058	−	0.989128i	$-0.453020\pi$
$523$	6.72618			0.294115			0.147058	+	0.989128i	$0.453020\pi$
$524$	5.37730	+	6.74292i	0.234908	+	0.294566i
$525$	74.4180	+	35.8378i	3.24787	+	1.56409i
$526$	−9.92643	+	12.4474i	−0.432813	+	0.542730i
$527$	2.80544	+	1.35103i	0.122207	+	0.0588517i
$528$	−11.4871	−	50.3285i	−0.499914	−	2.19026i
$529$	−13.2049	−	16.5585i	−0.574127	−	0.719933i
$530$	16.5055	+	72.3155i	0.716955	+	3.14119i
$531$	65.3557	−	31.4737i	2.83620	−	1.36584i
$532$	1.81315	−	2.27361i	0.0786098	−	0.0985736i
$533$	−34.5188	+	43.2852i	−1.49517	+	1.87489i
$534$	−2.73002	+	11.9610i	−0.118140	+	0.517604i
$535$	26.4270	−	12.7266i	1.14254	−	0.550218i
$536$	−1.68121	−	0.809627i	−0.0726171	−	0.0349706i
$537$	9.40973	−	41.2267i	0.406060	−	1.77906i
$538$	−0.121896	+	0.534060i	−0.00525530	+	0.0230250i
$539$	−6.07566	−	2.92588i	−0.261697	−	0.126027i
$540$	42.0662	−	20.2580i	1.81024	−	0.871765i
$541$	−0.365733	+	1.60238i	−0.0157241	+	0.0688918i	−0.982181	−	0.187936i	$-0.939820\pi$
$541$	−0.365733	+	1.60238i	−0.0157241	+	0.0688918i	0.966457	+	0.256828i	$0.0826774\pi$
$542$	3.03717	−	3.80849i	0.130457	−	0.163588i
$543$	−9.04806	+	11.3459i	−0.388289	+	0.486900i
$544$	3.72361	−	1.79320i	0.159649	−	0.0768827i
$545$	−2.99159	−	13.1070i	−0.128146	−	0.561443i
$546$	−44.6882	−	56.0373i	−1.91248	−	2.39817i
$547$	−2.11019	−	9.24533i	−0.0902251	−	0.395302i	0.909570	−	0.415551i	$-0.136411\pi$
$547$	−2.11019	−	9.24533i	−0.0902251	−	0.395302i	−0.999795	+	0.0202491i	$0.993554\pi$
$548$	3.52818	+	1.69908i	0.150717	+	0.0725813i
$549$	60.4377	−	75.7865i	2.57942	−	3.23449i
$550$	55.1048	+	26.5371i	2.34968	+	1.13155i
$551$	1.84718	+	2.31629i	0.0786926	+	0.0986774i
$552$	9.00063			0.383092
$553$	3.07103			0.130594
$554$	24.4543	+	30.6647i	1.03896	+	1.30282i
$555$	8.46657	−	4.07729i	0.359386	−	0.173071i
$556$	−1.67230	+	7.32682i	−0.0709213	+	0.310727i
$557$	−2.41476	−	10.5798i	−0.102317	−	0.448279i	−0.999971	−	0.00757910i	$-0.997587\pi$
$557$	−2.41476	−	10.5798i	−0.102317	−	0.448279i	0.897655	−	0.440700i	$-0.145270\pi$
$558$	−39.3669			−1.66653
$559$	33.3862	+	20.5638i	1.41208	+	0.869755i
$560$	−44.4152			−1.87689
$561$	2.32228	+	10.1746i	0.0980469	+	0.429572i
$562$	−2.74512	+	12.0272i	−0.115796	+	0.507335i
$563$	18.8479	−	9.07667i	0.794345	−	0.382536i	0.00772189	−	0.999970i	$-0.497542\pi$
$563$	18.8479	−	9.07667i	0.794345	−	0.382536i	0.786623	+	0.617434i	$0.211828\pi$
$564$	−15.5471	−	19.4955i	−0.654652	−	0.820908i
$565$	18.8271			0.792061
$566$	13.0032			0.546566
$567$	−35.7836	−	44.8712i	−1.50277	−	1.88441i
$568$	13.4405	+	6.47259i	0.563950	+	0.271584i
$569$	−10.6347	+	13.3356i	−0.445832	+	0.559055i	−0.953070	−	0.302751i	$-0.902095\pi$
$569$	−10.6347	+	13.3356i	−0.445832	+	0.559055i	0.507238	+	0.861806i	$0.330667\pi$
$570$	−33.8593	−	16.3058i	−1.41821	−	0.682975i
$571$	−6.73531	−	29.5093i	−0.281864	−	1.23493i	−0.895401	−	0.445261i	$-0.853111\pi$
$571$	−6.73531	−	29.5093i	−0.281864	−	1.23493i	0.613537	−	0.789666i	$-0.289746\pi$
$572$	−9.18696	−	11.5201i	−0.384126	−	0.481679i
$573$	7.79311	+	34.1438i	0.325562	+	1.42638i
$574$	−30.7141	+	14.7911i	−1.28198	+	0.617370i
$575$	−9.64697	+	12.0969i	−0.402307	+	0.504476i
$576$	14.2883	−	17.9170i	0.595347	−	0.746541i
$577$	−2.48472	+	10.8863i	−0.103440	+	0.453201i	0.896508	+	0.443027i	$0.146096\pi$
$577$	−2.48472	+	10.8863i	−0.103440	+	0.453201i	−0.999948	+	0.0101737i	$0.996762\pi$
$578$	−1.49915	+	0.721953i	−0.0623564	+	0.0300293i
$579$	−12.2480	−	5.89832i	−0.509009	−	0.245126i
$580$	−1.20270	+	5.26939i	−0.0499395	+	0.218799i
$581$	−1.16750	+	5.11517i	−0.0484362	+	0.212213i
$582$	−38.2011	−	18.3967i	−1.58349	−	0.762567i
$583$	31.7300	−	15.2803i	1.31412	−	0.632847i
$584$	5.40962	−	23.7011i	0.223852	−	0.980758i
$585$	−114.948	+	144.141i	−4.75253	+	5.95948i
$586$	12.5926	−	15.7907i	0.520197	−	0.652307i
$587$	34.3879	−	16.5603i	1.41934	−	0.683518i	0.442357	−	0.896839i	$-0.354143\pi$
$587$	34.3879	−	16.5603i	1.41934	−	0.683518i	0.976982	+	0.213322i	$0.0684282\pi$
$588$	1.17132	+	5.13188i	0.0483043	+	0.211635i
$589$	3.31929	+	4.16226i	0.136769	+	0.171503i
$590$	−14.3440	−	62.8452i	−0.590534	−	2.58730i
$591$	−32.5600	−	15.6801i	−1.33934	−	0.644992i
$592$	−2.19389	+	2.75106i	−0.0901685	+	0.113068i
$593$	−42.7646	−	20.5943i	−1.75613	−	0.845708i	−0.975275	−	0.220996i	$-0.929069\pi$
$593$	−42.7646	−	20.5943i	−1.75613	−	0.845708i	−0.780855	−	0.624712i	$-0.785216\pi$
$594$	−49.7836	−	62.4266i	−2.04265	−	2.56140i
$595$	8.97915			0.368109
$596$	−7.69062			−0.315020
$597$	39.7183	+	49.8052i	1.62556	+	2.03839i
$598$	12.0967	−	5.82546i	0.494671	−	0.238221i
$599$	−6.48450	+	28.4105i	−0.264950	+	1.16082i	0.650857	+	0.759200i	$0.274410\pi$
$599$	−6.48450	+	28.4105i	−0.264950	+	1.16082i	−0.915807	+	0.401620i	$0.868447\pi$
$600$	17.0180	+	74.5609i	0.694759	+	3.04394i
$601$	21.9826			0.896689			0.448344	−	0.893861i	$-0.352014\pi$
$601$	21.9826			0.896689			0.448344	+	0.893861i	$0.352014\pi$
$602$	13.0277	+	20.3277i	0.530970	+	0.828494i
$603$	−6.91998			−0.281803
$604$	−2.19644	−	9.62322i	−0.0893718	−	0.391563i
$605$	−0.652942	+	2.86073i	−0.0265459	+	0.116305i
$606$	33.1829	−	15.9801i	1.34796	−	0.649145i
$607$	20.4506	+	25.6442i	0.830063	+	1.04087i	0.998478	+	0.0551504i	$0.0175638\pi$
$607$	20.4506	+	25.6442i	0.830063	+	1.04087i	−0.168415	+	0.985716i	$0.553865\pi$
$608$	7.06610			0.286568
$609$	12.4827			0.505826
$610$	−53.7073	−	67.3469i	−2.17455	−	2.72680i
$611$	53.6850	+	25.8534i	2.17186	+	1.04591i
$612$	3.64142	−	4.56620i	0.147196	−	0.184578i
$613$	5.33075	+	2.56715i	0.215307	+	0.103686i	0.538429	−	0.842671i	$-0.319018\pi$
$613$	5.33075	+	2.56715i	0.215307	+	0.103686i	−0.323122	+	0.946357i	$0.604732\pi$
$614$	10.7521	+	47.1082i	0.433921	+	1.90113i
$615$	76.2588	+	95.6255i	3.07505	+	3.85599i
$616$	3.23410	+	14.1695i	0.130306	+	0.570906i
$617$	−25.7386	+	12.3951i	−1.03620	+	0.499007i	−0.873069	−	0.487597i	$-0.837873\pi$
$617$	−25.7386	+	12.3951i	−1.03620	+	0.499007i	−0.163130	+	0.986605i	$0.552159\pi$
$618$	13.3559	−	16.7477i	0.537251	−	0.673692i
$619$	−4.16413	+	5.22166i	−0.167371	+	0.209876i	−0.858442	−	0.512910i	$-0.828567\pi$
$619$	−4.16413	+	5.22166i	−0.167371	+	0.209876i	0.691072	+	0.722786i	$0.257139\pi$
$620$	−2.16120	+	9.46882i	−0.0867958	+	0.380277i
$621$	18.1990	−	8.76419i	0.730302	−	0.351695i
$622$	−29.1943	−	14.0592i	−1.17058	−	0.563723i
$623$	1.11521	−	4.88607i	0.0446801	−	0.195756i
$624$	21.4267	−	93.8765i	0.857755	−	3.75807i
$625$	−44.2737	−	21.3211i	−1.77095	−	0.852843i
$626$	−24.0028	+	11.5592i	−0.959347	+	0.461997i
$627$	−3.97046	+	17.3957i	−0.158565	+	0.694717i
$628$	−5.34402	+	6.70119i	−0.213249	+	0.267406i
$629$	0.443526	−	0.556164i	0.0176845	−	0.0221757i
$630$	−102.279	+	49.2548i	−4.07488	+	1.96236i
$631$	5.60329	+	24.5496i	0.223063	+	0.977304i	0.955157	+	0.296100i	$0.0956863\pi$
$631$	5.60329	+	24.5496i	0.223063	+	0.977304i	−0.732094	+	0.681204i	$0.761457\pi$
$632$	1.77290	+	2.22315i	0.0705222	+	0.0884321i
$633$	−13.6449	−	59.7824i	−0.542337	−	2.37614i
$634$	35.0440	+	16.8763i	1.39177	+	0.670243i
$635$	−32.2446	+	40.4335i	−1.27959	+	1.60455i
$636$	−24.7680	−	11.9276i	−0.982113	−	0.472961i
$637$	−7.84253	−	9.83422i	−0.310732	−	0.389646i
$638$	9.24317			0.365941
$639$	55.3220			2.18851
$640$	−33.6098	−	42.1454i	−1.32854	−	1.66594i
$641$	−24.0807	+	11.5967i	−0.951132	+	0.458041i	−0.844083	−	0.536213i	$-0.819855\pi$
$641$	−24.0807	+	11.5967i	−0.951132	+	0.458041i	−0.107049	+	0.994254i	$0.534140\pi$
$642$	−8.71291	+	38.1738i	−0.343871	+	1.50660i
$643$	−4.63771	−	20.3191i	−0.182893	−	0.801308i	−0.980244	−	0.197792i	$-0.936623\pi$
$643$	−4.63771	−	20.3191i	−0.182893	−	0.801308i	0.797351	−	0.603516i	$-0.206234\pi$
$644$	2.29523			0.0904447
$645$	60.7028	−	61.7984i	2.39017	−	2.43331i
$646$	−2.84486			−0.111929
$647$	4.44245	+	19.4637i	0.174651	+	0.765195i	0.984044	+	0.177928i	$0.0569393\pi$
$647$	4.44245	+	19.4637i	0.174651	+	0.765195i	−0.809393	+	0.587268i	$0.800204\pi$
$648$	11.8249	−	51.8081i	0.464524	−	2.03521i
$649$	−27.5747	+	13.2793i	−1.08240	+	0.521256i
$650$	71.1300	+	89.1942i	2.78995	+	3.49848i
$651$	22.4308			0.879134
$652$	−6.29117			−0.246381
$653$	5.87502	+	7.36704i	0.229907	+	0.288295i	0.883382	−	0.468654i	$-0.155261\pi$
$653$	5.87502	+	7.36704i	0.229907	+	0.288295i	−0.653475	+	0.756948i	$0.726689\pi$
$654$	16.1695	+	7.78680i	0.632276	+	0.304488i
$655$	−28.3871	+	35.5963i	−1.10918	+	1.39086i
$656$	−41.2628	−	19.8711i	−1.61104	−	0.775836i
$657$	−20.0613	−	87.8944i	−0.782667	−	3.42909i
$658$	22.8757	+	28.6852i	0.891788	+	1.11827i
$659$	−0.639531	−	2.80197i	−0.0249126	−	0.109149i	0.960943	−	0.276747i	$-0.0892563\pi$
$659$	−0.639531	−	2.80197i	−0.0249126	−	0.109149i	−0.985856	+	0.167597i	$0.946399\pi$
$660$	−29.3283	+	14.1238i	−1.14160	+	0.549766i
$661$	−30.3405	+	38.0457i	−1.18011	+	1.47981i	−0.337461	+	0.941339i	$0.609568\pi$
$661$	−30.3405	+	38.0457i	−1.18011	+	1.47981i	−0.842646	+	0.538468i	$0.819003\pi$
$662$	34.2179	−	42.9079i	1.32992	−	1.66766i
$663$	−4.33170	+	18.9784i	−0.168229	+	0.737061i
$664$	−4.37691	+	2.10781i	−0.169857	+	0.0817989i
$665$	13.8315	+	6.66091i	0.536364	+	0.258299i
$666$	−2.00124	+	8.76802i	−0.0775466	+	0.339754i
$667$	−0.520324	+	2.27969i	−0.0201470	+	0.0882699i
$668$	−17.1416	−	8.25495i	−0.663228	−	0.319394i
$669$	−78.7771	+	37.9371i	−3.04570	+	1.46673i
$670$	−1.36836	+	5.99519i	−0.0528645	+	0.231614i
$671$	−25.4997	+	31.9756i	−0.984403	+	1.23440i
$672$	18.5626	−	23.2767i	0.716067	−	0.897920i
$673$	28.4970	−	13.7234i	1.09848	−	0.529000i	0.205300	−	0.978699i	$-0.434183\pi$
$673$	28.4970	−	13.7234i	1.09848	−	0.529000i	0.893180	+	0.449699i	$0.148469\pi$
$674$	−12.6280	−	55.3269i	−0.486413	−	2.13111i
$675$	107.012	+	134.189i	4.11891	+	5.16495i
$676$	−3.89227	−	17.0532i	−0.149703	−	0.655891i
$677$	−9.80212	−	4.72045i	−0.376726	−	0.181422i	0.235932	−	0.971769i	$-0.424186\pi$
$677$	−9.80212	−	4.72045i	−0.376726	−	0.181422i	−0.612658	+	0.790348i	$0.709900\pi$
$678$	−15.6699	+	19.6494i	−0.601799	+	0.754632i
$679$	15.6051	+	7.51504i	0.598870	+	0.288401i
$680$	5.18365	+	6.50009i	0.198784	+	0.249267i
$681$	50.2406			1.92522
$682$	16.6095			0.636012
$683$	−13.9654	−	17.5120i	−0.534370	−	0.670079i	0.439220	−	0.898379i	$-0.355255\pi$
$683$	−13.9654	−	17.5120i	−0.534370	−	0.670079i	−0.973591	+	0.228300i	$0.926683\pi$
$684$	8.99656	−	4.33252i	0.343992	−	0.165658i
$685$	−4.60012	+	20.1545i	−0.175762	+	0.770062i
$686$	−7.45860	−	32.6783i	−0.284771	−	1.24766i
$687$	−36.4356			−1.39010
$688$	−10.4388	+	30.7106i	−0.397975	+	1.17083i
$689$	65.6906			2.50261
$690$	−6.60028	−	28.9177i	−0.251268	−	1.10088i
$691$	−5.58461	+	24.4678i	−0.212449	+	0.930799i	0.750448	+	0.660929i	$0.229838\pi$
$691$	−5.58461	+	24.4678i	−0.212449	+	0.930799i	−0.962897	+	0.269869i	$0.913019\pi$
$692$	1.85742	−	0.894487i	0.0706086	−	0.0340033i
$693$	33.6051	+	42.1394i	1.27655	+	1.60074i
$694$	25.3822			0.963494
$695$	−39.6735			−1.50490
$696$	7.20625	+	9.03636i	0.273152	+	0.342522i
$697$	8.34184	+	4.01722i	0.315970	+	0.152163i
$698$	6.91511	−	8.67127i	0.261741	−	0.328212i
$699$	−80.0448	−	38.5475i	−3.02757	−	1.45800i
$700$	4.33973	+	19.0136i	0.164026	+	0.718647i
$701$	−13.1720	−	16.5171i	−0.497499	−	0.623844i	0.468164	−	0.883641i	$-0.344916\pi$
$701$	−13.1720	−	16.5171i	−0.497499	−	0.623844i	−0.965663	+	0.259798i	$0.916344\pi$
$702$	−33.1414	−	145.202i	−1.25084	−	5.48030i
$703$	1.09578	−	0.527701i	0.0413282	−	0.0199026i
$704$	−6.02848	+	7.55947i	−0.227207	+	0.284908i
$705$	82.0743	−	102.918i	3.09110	−	3.87611i
$706$	−1.06857	+	4.68169i	−0.0402160	+	0.176198i
$707$	−13.5552	+	6.52785i	−0.509796	+	0.245505i
$708$	21.5244	+	10.3656i	0.808936	+	0.389563i
$709$	0.128823	−	0.564410i	0.00483804	−	0.0211969i	−0.972451	−	0.233106i	$-0.925111\pi$
$709$	0.128823	−	0.564410i	0.00483804	−	0.0211969i	0.977289	+	0.211909i	$0.0679682\pi$
$710$	10.9394	−	47.9288i	0.410549	−	1.79873i
$711$	9.50075	+	4.57532i	0.356306	+	0.171588i
$712$	4.18088	−	2.01340i	0.156685	−	0.0754555i
$713$	−0.934996	+	4.09649i	−0.0350159	+	0.153415i
$714$	−7.47341	+	9.37136i	−0.279685	+	0.350715i
$715$	48.4986	−	60.8153i	1.81374	−	2.27436i
$716$	8.99580	−	4.33215i	0.336189	−	0.161900i
$717$	−0.689919	−	3.02273i	−0.0257655	−	0.112886i
$718$	5.20612	+	6.52827i	0.194291	+	0.243633i
$719$	−4.40326	−	19.2919i	−0.164214	−	0.719468i	−0.988239	−	0.152915i	$-0.951134\pi$
$719$	−4.40326	−	19.2919i	−0.164214	−	0.719468i	0.824026	−	0.566553i	$-0.191723\pi$
$720$	−137.406	−	66.1712i	−5.12082	−	2.46605i
$721$	−5.45586	+	6.84144i	−0.203187	+	0.254788i
$722$	24.1016	+	11.6067i	0.896969	+	0.431958i
$723$	−35.7642	−	44.8469i	−1.33009	−	1.66788i
$724$	−3.42649			−0.127345
$725$	−19.8687			−0.737904
$726$	−2.44224	−	3.06247i	−0.0906398	−	0.113659i
$727$	10.8248	−	5.21294i	0.401469	−	0.193337i	−0.222244	−	0.974991i	$-0.571338\pi$
$727$	10.8248	−	5.21294i	0.401469	−	0.193337i	0.623712	+	0.781654i	$0.285624\pi$
$728$	−6.03249	+	26.4301i	−0.223579	+	0.979564i
$729$	−11.3210	−	49.6006i	−0.419297	−	1.83706i
$730$	−80.1152			−2.96519
$731$	2.11035	−	6.20858i	0.0780539	−	0.229633i
$732$	31.9246			1.17997
$733$	−3.63573	−	15.9292i	−0.134289	−	0.588357i	−0.996630	−	0.0820297i	$-0.973860\pi$
$733$	−3.63573	−	15.9292i	−0.134289	−	0.588357i	0.862341	−	0.506328i	$-0.168997\pi$
$734$	2.18149	−	9.55773i	0.0805203	−	0.352782i
$735$	−25.0363	+	12.0569i	−0.923480	+	0.444724i
$736$	3.47722	+	4.36029i	0.128172	+	0.160723i
$737$	2.91965			0.107547
$738$	−117.055			−4.30887
$739$	−17.0688	−	21.4036i	−0.627885	−	0.787343i	0.361545	−	0.932355i	$-0.382249\pi$
$739$	−17.0688	−	21.4036i	−0.627885	−	0.787343i	−0.989430	+	0.145012i	$0.953678\pi$
$740$	1.99909	+	0.962709i	0.0734879	+	0.0353899i
$741$	−20.7512	+	26.0211i	−0.762313	+	0.955910i
$742$	36.4431	+	17.5501i	1.33787	+	0.644283i
$743$	−6.70166	−	29.3619i	−0.245860	−	1.07718i	−0.935582	−	0.353109i	$-0.885124\pi$
$743$	−6.70166	−	29.3619i	−0.245860	−	1.07718i	0.689722	−	0.724074i	$-0.257733\pi$
$744$	12.9493	+	16.2379i	0.474744	+	0.595310i
$745$	−9.03419	−	39.5814i	−0.330987	−	1.45015i
$746$	44.1595	−	21.2661i	1.61680	−	0.778608i
$747$	−11.2326	+	14.0852i	−0.410980	+	0.515352i
$748$	−1.53638	+	1.92655i	−0.0561755	+	0.0704418i
$749$	3.55922	−	15.5940i	0.130051	−	0.569791i
$750$	128.054	−	61.6675i	4.67587	−	2.25178i
$751$	11.3044	+	5.44394i	0.412505	+	0.198652i	0.628614	−	0.777717i	$-0.283622\pi$
$751$	11.3044	+	5.44394i	0.412505	+	0.198652i	−0.216109	+	0.976369i	$0.569337\pi$
$752$	−10.9682	+	48.0550i	−0.399971	+	1.75239i
$753$	6.37778	−	27.9429i	0.232419	−	1.01829i
$754$	15.5337	+	7.48063i	0.565703	+	0.272428i
$755$	46.9478	−	22.6089i	1.70860	−	0.822820i
$756$	5.66552	−	24.8223i	0.206053	−	0.902777i
$757$	−12.2742	+	15.3914i	−0.446115	+	0.559411i	−0.953143	−	0.302519i	$-0.902173\pi$
$757$	−12.2742	+	15.3914i	−0.446115	+	0.559411i	0.507028	+	0.861929i	$0.330744\pi$
$758$	−10.7841	+	13.5228i	−0.391697	+	0.491172i
$759$	−12.6883	+	6.11034i	−0.460555	+	0.221791i
$760$	3.16302	+	13.8581i	0.114735	+	0.502686i
$761$	16.8265	+	21.0998i	0.609961	+	0.764867i	0.986893	−	0.161374i	$-0.0515926\pi$
$761$	16.8265	+	21.0998i	0.609961	+	0.764867i	−0.376933	+	0.926241i	$0.623021\pi$
$762$	−15.3622	−	67.3062i	−0.556514	−	2.43825i
$763$	−6.60522	−	3.18091i	−0.239125	−	0.115157i
$764$	−5.15576	+	6.46512i	−0.186529	+	0.233900i
$765$	27.7785	+	13.3774i	1.00433	+	0.483662i
$766$	−8.98547	−	11.2674i	−0.324658	−	0.407109i
$767$	−57.0879			−2.06132
$768$	52.3222			1.88802
$769$	−13.6814	−	17.1559i	−0.493364	−	0.618659i	0.471354	−	0.881944i	$-0.343765\pi$
$769$	−13.6814	−	17.1559i	−0.493364	−	0.618659i	−0.964718	+	0.263285i	$0.915194\pi$
$770$	43.1530	−	20.7814i	1.55513	−	0.748910i
$771$	−1.80379	+	7.90290i	−0.0649618	+	0.284616i
$772$	−0.714250	−	3.12933i	−0.0257064	−	0.112627i
$773$	31.7249			1.14107			0.570533	−	0.821275i	$-0.306737\pi$
$773$	31.7249			1.14107			0.570533	+	0.821275i	$0.306737\pi$
$774$	10.0186	+	82.2961i	0.360113	+	2.95807i
$775$	−35.7030			−1.28249
$776$	3.56861	+	15.6351i	0.128106	+	0.561267i
$777$	1.14029	−	4.99593i	0.0409076	−	0.179228i
$778$	−46.2744	+	22.2846i	−1.65902	+	0.798940i
$779$	9.86976	+	12.3763i	0.353621	+	0.443426i
$780$	−60.7184			−2.17407
$781$	−23.3413			−0.835216
$782$	−1.39995	−	1.75548i	−0.0500621	−	0.0627759i
$783$	23.3698	+	11.2543i	0.835170	+	0.402197i
$784$	6.48752	−	8.13509i	0.231697	−	0.290539i
$785$	−40.7667	−	19.6322i	−1.45503	−	0.700703i
$786$	−13.5244	−	59.2541i	−0.482398	−	2.11352i
$787$	−4.46182	−	5.59495i	−0.159047	−	0.199438i	0.695923	−	0.718117i	$-0.254996\pi$
$787$	−4.46182	−	5.59495i	−0.159047	−	0.199438i	−0.854969	+	0.518678i	$0.826424\pi$
$788$	−1.89876	−	8.31900i	−0.0676404	−	0.296352i
$789$	28.0642	−	13.5150i	0.999111	−	0.481146i
$790$	5.84256	−	7.32634i	0.207869	−	0.260660i
$791$	6.40115	−	8.02679i	0.227599	−	0.285400i
$792$	−11.1050	+	48.6540i	−0.394598	+	1.72884i
$793$	−68.7319	+	33.0995i	−2.44074	+	1.17540i
$794$	0.972888	+	0.468518i	0.0345265	+	0.0166271i
$795$	32.2930	−	141.485i	1.14531	−	5.01795i
$796$	−3.34700	+	14.6642i	−0.118631	+	0.519758i
$797$	−24.1994	−	11.6538i	−0.857186	−	0.412799i	−0.0469459	−	0.998897i	$-0.514949\pi$
$797$	−24.1994	−	11.6538i	−0.857186	−	0.412799i	−0.810240	+	0.586099i	$0.800663\pi$
$798$	−18.4639	+	8.89177i	−0.653617	+	0.314765i
$799$	2.21738	−	9.71498i	0.0784453	−	0.343691i
$800$	−29.5460	+	37.0494i	−1.04461	+	1.30990i
$801$	10.7295	−	13.4544i	0.379109	−	0.475387i
$802$	19.0251	−	9.16201i	0.671800	−	0.323522i
$803$	8.46421	+	37.0841i	0.298695	+	1.30867i
$804$	−1.42096	−	1.78182i	−0.0501133	−	0.0628401i
$805$	2.69621	+	11.8129i	0.0950290	+	0.416349i
$806$	27.9132	+	13.4423i	0.983202	+	0.473485i
$807$	0.668229	−	0.837932i	0.0235228	−	0.0294966i
$808$	−12.5510	−	6.04422i	−0.441541	−	0.212635i
$809$	−15.4488	−	19.3721i	−0.543150	−	0.681088i	0.432194	−	0.901781i	$-0.357740\pi$
$809$	−15.4488	−	19.3721i	−0.543150	−	0.681088i	−0.975343	+	0.220692i	$0.929168\pi$
$810$	−175.123			−6.15321
$811$	7.56863			0.265771			0.132885	−	0.991131i	$-0.457576\pi$
$811$	7.56863			0.265771			0.132885	+	0.991131i	$0.457576\pi$
$812$	1.83765	+	2.30434i	0.0644889	+	0.0808665i
$813$	−8.58672	+	4.13515i	−0.301149	+	0.145026i
$814$	0.844357	−	3.69937i	0.0295947	−	0.129663i
$815$	−7.39025	−	32.3788i	−0.258869	−	1.13418i
$816$	−16.1031			−0.563722
$817$	7.85643	−	7.99823i	0.274862	−	0.279823i
$818$	−18.4629			−0.645540
$819$	22.3712	+	98.0148i	0.781714	+	3.42491i
$820$	−6.42621	+	28.1551i	−0.224413	+	0.983218i
$821$	38.4984	−	18.5398i	1.34360	−	0.647045i	0.382684	−	0.923879i	$-0.375000\pi$
$821$	38.4984	−	18.5398i	1.34360	−	0.647045i	0.960918	+	0.276835i	$0.0892854\pi$
$822$	−17.2061	−	21.5758i	−0.600131	−	0.752541i
$823$	−15.1409			−0.527779			−0.263890	−	0.964553i	$-0.585005\pi$
$823$	−15.1409			−0.527779			−0.263890	+	0.964553i	$0.585005\pi$
$824$	−8.10223			−0.282255
$825$	−74.6084	−	93.5560i	−2.59753	−	3.25720i
$826$	−31.6705	−	15.2517i	−1.10196	−	0.530675i
$827$	−10.1144	+	12.6830i	−0.351711	+	0.441031i	−0.925944	−	0.377660i	$-0.876729\pi$
$827$	−10.1144	+	12.6830i	−0.351711	+	0.441031i	0.574234	+	0.818691i	$0.305300\pi$
$828$	7.10067	+	3.41950i	0.246765	+	0.118836i
$829$	10.3952	+	45.5446i	0.361042	+	1.58183i	0.750556	+	0.660807i	$0.229786\pi$
$829$	10.3952	+	45.5446i	0.361042	+	1.58183i	−0.389514	+	0.921021i	$0.627357\pi$
$830$	9.98174	+	12.5167i	0.346471	+	0.434461i
$831$	−17.0756	−	74.8130i	−0.592345	−	2.59523i
$832$	−16.2492	+	7.82519i	−0.563339	+	0.271290i
$833$	−1.31154	+	1.64462i	−0.0454422	+	0.0569827i
$834$	33.0205	−	41.4064i	1.14341	−	1.43379i
$835$	22.3496	−	97.9199i	0.773439	−	3.38866i
$836$	−3.79580	+	1.82796i	−0.131280	+	0.0632213i
$837$	41.9944	+	20.2235i	1.45154	+	0.699025i
$838$	7.30401	−	32.0009i	0.252313	−	1.10545i
$839$	3.13737	−	13.7457i	0.108314	−	0.474555i	−0.891456	−	0.453107i	$-0.850315\pi$
$839$	3.13737	−	13.7457i	0.108314	−	0.474555i	0.999770	−	0.0214475i	$-0.00682748\pi$
$840$	53.9598	+	25.9857i	1.86179	+	0.896590i
$841$	23.4228	−	11.2798i	0.807682	−	0.388959i
$842$	−12.2966	+	53.8749i	−0.423769	+	1.85665i
$843$	15.0487	−	18.8704i	0.518304	−	0.649932i
$844$	9.02721	−	11.3198i	0.310730	−	0.389643i
$845$	83.1954	−	40.0648i	2.86201	−	1.37827i
$846$	28.0337	+	122.823i	0.963817	+	4.22276i
$847$	0.997652	+	1.25102i	0.0342797	+	0.0429854i
$848$	12.0920	+	52.9783i	0.415239	+	1.81928i
$849$	−22.9213	−	11.0383i	−0.786657	−	0.378834i
$850$	11.8954	−	14.9163i	0.408008	−	0.511626i
$851$	0.864862	+	0.416496i	0.0296471	+	0.0142773i
$852$	11.3599	+	14.2449i	0.389184	+	0.488021i
$853$	13.2298			0.452979			0.226490	−	0.974014i	$-0.427275\pi$
$853$	13.2298			0.452979			0.226490	+	0.974014i	$0.427275\pi$
$854$	−46.9732			−1.60739
$855$	32.8665	+	41.2133i	1.12401	+	1.40946i
$856$	13.3433	−	6.42581i	0.456066	−	0.219630i
$857$	11.1202	−	48.7206i	0.379857	−	1.66426i	−0.318050	−	0.948074i	$-0.603028\pi$
$857$	11.1202	−	48.7206i	0.379857	−	1.66426i	0.697907	−	0.716189i	$-0.254115\pi$
$858$	23.1060	+	101.234i	0.788826	+	3.45607i
$859$	41.8301			1.42722			0.713612	−	0.700541i	$-0.247058\pi$
$859$	41.8301			1.42722			0.713612	+	0.700541i	$0.247058\pi$
$860$	20.3445	+	2.10820i	0.693742	+	0.0718891i
$861$	66.6970			2.27303
$862$	−1.53075	−	6.70665i	−0.0521376	−	0.228430i
$863$	2.86099	−	12.5348i	0.0973892	−	0.426690i	−0.902604	−	0.430473i	$-0.858347\pi$
$863$	2.86099	−	12.5348i	0.0973892	−	0.426690i	0.999993	+	0.00378268i	$0.00120407\pi$
$864$	55.7385	−	26.8422i	1.89626	−	0.913192i
$865$	6.78558	+	8.50885i	0.230717	+	0.289310i
$866$	−19.2866			−0.655385
$867$	3.25547			0.110562
$868$	3.30217	+	4.14078i	0.112083	+	0.140547i
$869$	−4.00852	−	1.93040i	−0.135980	−	0.0654844i
$870$	23.7481	−	29.7791i	0.805135	−	1.00961i
$871$	4.90664	+	2.36291i	0.166255	+	0.0800643i
$872$	−1.51049	−	6.61791i	−0.0511518	−	0.224111i
$873$	37.0809	+	46.4980i	1.25500	+	1.57372i
$874$	−0.854238	−	3.74266i	−0.0288950	−	0.126597i
$875$	−52.3100	+	25.1912i	−1.76840	+	0.851616i
$876$	18.5125	−	23.2140i	0.625480	−	0.784327i
$877$	−3.39055	+	4.25162i	−0.114491	+	0.143567i	−0.835775	−	0.549073i	$-0.814981\pi$
$877$	−3.39055	+	4.25162i	−0.114491	+	0.143567i	0.721284	+	0.692640i	$0.243552\pi$
$878$	−3.02423	+	13.2500i	−0.102063	+	0.447167i
$879$	−35.6021	+	17.1451i	−1.20083	+	0.578289i
$880$	57.9738	+	27.9187i	1.95430	+	0.941140i
$881$	−2.36476	+	10.3607i	−0.0796707	+	0.349060i	−0.999014	−	0.0443961i	$-0.985864\pi$
$881$	−2.36476	+	10.3607i	−0.0796707	+	0.349060i	0.919343	+	0.393456i	$0.128721\pi$
$882$	5.91784	−	25.9277i	0.199264	−	0.873033i
$883$	−13.1228	−	6.31961i	−0.441617	−	0.212672i	0.199843	−	0.979828i	$-0.435957\pi$
$883$	−13.1228	−	6.31961i	−0.441617	−	0.212672i	−0.641460	+	0.767156i	$0.721671\pi$
$884$	−4.14115	+	1.99427i	−0.139282	+	0.0670747i
$885$	−28.0640	+	122.956i	−0.943360	+	4.13313i
$886$	9.76646	−	12.2468i	0.328111	−	0.411438i
$887$	−2.16695	+	2.71727i	−0.0727591	+	0.0912370i	−0.816879	−	0.576809i	$-0.804298\pi$
$887$	−2.16695	+	2.71727i	−0.0727591	+	0.0912370i	0.744120	+	0.668046i	$0.232869\pi$
$888$	4.27488	−	2.05867i	0.143456	−	0.0690846i
$889$	6.27545	+	27.4945i	0.210472	+	0.922137i
$890$	−9.53467	−	11.9561i	−0.319603	−	0.400769i
$891$	18.5019	+	81.0620i	0.619836	+	2.71568i
$892$	−18.6005	−	8.95752i	−0.622790	−	0.299920i
$893$	10.6224	−	13.3201i	0.355466	−	0.445740i
$894$	48.8295	+	23.5151i	1.63310	+	0.786461i
$895$	32.8637	+	41.2098i	1.09851	+	1.37749i
$896$	−29.3956			−0.982039
$897$	−26.2685			−0.877080
$898$	−3.67647	−	4.61015i	−0.122685	−	0.153843i
$899$	−4.86134	+	2.34110i	−0.162135	+	0.0780800i
$900$	−14.9014	+	65.2872i	−0.496713	+	2.17624i
$901$	−2.44456	−	10.7103i	−0.0814400	−	0.356812i
$902$	49.3876			1.64443
$903$	−5.70853	−	46.8915i	−0.189968	−	1.56045i
$904$	9.50603			0.316166
$905$	−4.02511	−	17.6352i	−0.133799	−	0.586213i
$906$	−15.4785	+	67.8160i	−0.514240	+	2.25303i
$907$	4.64072	−	2.23485i	0.154093	−	0.0742071i	−0.355248	−	0.934772i	$-0.615604\pi$
$907$	4.64072	−	2.23485i	0.154093	−	0.0742071i	0.509341	+	0.860565i	$0.329889\pi$
$908$	7.39618	+	9.27452i	0.245451	+	0.307786i
$909$	−51.6607			−1.71348
$910$	89.3398			2.96158
$911$	−21.3456	−	26.7666i	−0.707213	−	0.886816i	0.290327	−	0.956928i	$-0.406236\pi$
$911$	−21.3456	−	26.7666i	−0.707213	−	0.886816i	−0.997539	+	0.0701111i	$0.977665\pi$
$912$	−24.8053	−	11.9456i	−0.821387	−	0.395559i
$913$	4.73922	−	5.94280i	0.156845	−	0.196678i
$914$	−19.1823	−	9.23773i	−0.634495	−	0.305557i
$915$	37.5019	+	164.307i	1.23978	+	5.43181i
$916$	−5.36388	−	6.72609i	−0.177228	−	0.222236i
$917$	5.52470	+	24.2053i	0.182442	+	0.799329i
$918$	−22.4407	+	10.8069i	−0.740653	+	0.356679i
$919$	8.98919	−	11.2721i	0.296526	−	0.371832i	−0.611142	−	0.791521i	$-0.709290\pi$
$919$	8.98919	−	11.2721i	0.296526	−	0.371832i	0.907668	+	0.419689i	$0.137861\pi$
$920$	−6.99492	+	8.77136i	−0.230616	+	0.289183i
$921$	21.0365	−	92.1670i	0.693177	−	3.03701i
$922$	−13.3600	+	6.43384i	−0.439988	+	0.211887i
$923$	−39.2263	−	18.8904i	−1.29115	−	0.621785i
$924$	−3.94997	+	17.3059i	−0.129944	+	0.569324i
$925$	−1.81499	+	7.95199i	−0.0596765	+	0.261460i
$926$	−51.9354	−	25.0108i	−1.70670	−	0.821904i
$927$	−27.0712	+	13.0368i	−0.889135	+	0.428185i
$928$	−1.59361	+	6.98204i	−0.0523127	+	0.229197i
$929$	−3.81348	+	4.78195i	−0.125116	+	0.156891i	−0.840444	−	0.541898i	$-0.817706\pi$
$929$	−3.81348	+	4.78195i	−0.125116	+	0.156891i	0.715328	+	0.698789i	$0.246277\pi$
$930$	42.6741	−	53.5116i	1.39934	−	1.75472i
$931$	−3.24032	+	1.56045i	−0.106197	+	0.0511418i
$932$	−4.66786	−	20.4512i	−0.152901	−	0.669902i
$933$	39.5272	+	49.5655i	1.29406	+	1.62270i
$934$	10.8633	+	47.5953i	0.355458	+	1.55736i
$935$	−11.7202	−	5.64415i	−0.383292	−	0.184584i
$936$	−58.0389	+	72.7784i	−1.89706	+	2.37884i
$937$	46.3233	+	22.3081i	1.51332	+	0.728774i	0.992193	−	0.124708i	$-0.0397994\pi$
$937$	46.3233	+	22.3081i	1.51332	+	0.728774i	0.521122	+	0.853482i	$0.325514\pi$
$938$	2.09077	+	2.62174i	0.0682660	+	0.0856028i
$939$	52.1232			1.70098
$940$	31.0815			1.01377
$941$	−28.5174	−	35.7597i	−0.929640	−	1.16573i	−0.985903	−	0.167316i	$-0.946490\pi$
$941$	−28.5174	−	35.7597i	−0.929640	−	1.16573i	0.0562631	−	0.998416i	$-0.482081\pi$
$942$	54.4201	−	26.2074i	1.77310	−	0.853882i
$943$	−2.78017	+	12.1807i	−0.0905346	+	0.396658i
$944$	−10.5084	−	46.0404i	−0.342020	−	1.49849i
$945$	134.408			4.37230
$946$	−4.22703	−	34.7221i	−0.137433	−	1.12891i
$947$	−59.3934			−1.93003			−0.965013	−	0.262204i	$-0.915551\pi$
$947$	−59.3934			−1.93003			−0.965013	+	0.262204i	$0.915551\pi$
$948$	0.772798	+	3.38585i	0.0250993	+	0.109967i
$949$	−15.7881	+	69.1721i	−0.512503	+	2.24542i
$950$	29.3889	−	14.1530i	0.953503	−	0.459183i
$951$	−47.4473	−	59.4970i	−1.53858	−	1.92932i
$952$	4.53369			0.146938
$953$	15.6768			0.507820			0.253910	−	0.967228i	$-0.418283\pi$
$953$	15.6768			0.507820			0.253910	+	0.967228i	$0.418283\pi$
$954$	86.5960	+	108.588i	2.80365	+	3.51567i
$955$	−39.3306	−	18.9406i	−1.27271	−	0.612904i
$956$	0.456437	−	0.572353i	0.0147622	−	0.0185112i
$957$	−16.2933	−	7.84645i	−0.526688	−	0.253640i
$958$	−10.6163	−	46.5131i	−0.342997	−	1.50277i
$959$	7.02868	+	8.81369i	0.226968	+	0.284609i
$960$	8.86598	+	38.8444i	0.286148	+	1.25370i
$961$	19.1944	−	9.24356i	0.619176	−	0.298179i
$962$	4.41294	−	5.53365i	0.142279	−	0.178412i
$963$	34.2434	−	42.9399i	1.10348	−	1.38372i
$964$	3.01380	−	13.2043i	0.0970680	−	0.425283i
$965$	15.2667	−	7.35207i	0.491453	−	0.236672i
$966$	−14.5729	−	7.01796i	−0.468877	−	0.225799i
$967$	−3.19741	+	14.0088i	−0.102822	+	0.450492i	0.897140	+	0.441746i	$0.145641\pi$
$967$	−3.19741	+	14.0088i	−0.102822	+	0.450492i	−0.999962	+	0.00874523i	$0.997216\pi$
$968$	−0.329679	+	1.44442i	−0.0105963	+	0.0464253i
$969$	5.01474	+	2.41497i	0.161097	+	0.0775801i
$970$	47.6164	−	22.9309i	1.52887	−	0.736266i
$971$	8.83269	−	38.6986i	0.283455	−	1.24190i	−0.609876	−	0.792497i	$-0.708781\pi$
$971$	8.83269	−	38.6986i	0.283455	−	1.24190i	0.893331	−	0.449399i	$-0.148362\pi$
$972$	18.9446	−	23.7558i	0.607648	−	0.761966i
$973$	−13.4889	+	16.9145i	−0.432433	+	0.542254i
$974$	−1.61403	+	0.777274i	−0.0517167	+	0.0249055i
$975$	−49.6675	−	217.608i	−1.59063	−	6.96902i
$976$	−39.3460	−	49.3383i	−1.25943	−	1.57928i
$977$	0.149817	+	0.656392i	0.00479307	+	0.0209998i	0.977268	−	0.212008i	$-0.0680003\pi$
$977$	0.149817	+	0.656392i	0.00479307	+	0.0209998i	−0.972475	+	0.233008i	$0.925143\pi$
$978$	39.9441	+	19.2361i	1.27727	+	0.615101i
$979$	−4.52696	+	5.67663i	−0.144682	+	0.181426i
$980$	−5.91146	−	2.84681i	−0.188835	−	0.0909380i
$981$	−15.6953	−	19.6813i	−0.501113	−	0.628376i
$982$	6.41827			0.204815
$983$	2.25991			0.0720799			0.0360400	−	0.999350i	$-0.488526\pi$
$983$	2.25991			0.0720799			0.0360400	+	0.999350i	$0.488526\pi$
$984$	38.5040	+	48.2825i	1.22746	+	1.53919i
$985$	40.5850	−	19.5447i	1.29315	−	0.622746i
$986$	0.641596	−	2.81101i	0.0204326	−	0.0895209i
$987$	−15.9733	−	69.9836i	−0.508436	−	2.22760i
$988$	−7.85845			−0.250010
$989$	8.80162	+	0.912068i	0.279875	+	0.0290021i
$990$	164.462			5.22694
$991$	−3.71016	−	16.2553i	−0.117857	−	0.516365i	−0.999049	−	0.0436063i	$-0.986115\pi$
$991$	−3.71016	−	16.2553i	−0.117857	−	0.516365i	0.881192	−	0.472759i	$-0.156742\pi$
$992$	−2.86363	+	12.5464i	−0.0909203	+	0.398348i
$993$	−96.7414	+	46.5882i	−3.07000	+	1.47843i
$994$	−16.7147	−	20.9596i	−0.530159	−	0.664798i
$995$	−79.4040			−2.51728
$996$	−5.93333			−0.188005
$997$	−18.2905	−	22.9355i	−0.579265	−	0.726375i	0.402723	−	0.915322i	$-0.368064\pi$
$997$	−18.2905	−	22.9355i	−0.579265	−	0.726375i	−0.981987	+	0.188947i	$0.939493\pi$
$998$	−36.5431	−	17.5982i	−1.15675	−	0.557063i
$999$	6.63911	−	8.32518i	0.210052	−	0.263397i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	731.2.k.a.188.9	yes	180
43.35	even	7	inner	731.2.k.a.35.9	✓	180

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
731.2.k.a.35.9	✓	180	43.35	even	7	inner
731.2.k.a.188.9	yes	180	1.1	even	1	trivial

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(-0.370259 - 1.62221i) q^{2} +(-0.724410 + 3.17385i) q^{3} +(-0.692544 + 0.333512i) q^{4} +(-2.53002 - 3.17255i) q^{5} +5.41688 q^{6} -2.21279 q^{7} +(-1.27744 - 1.60186i) q^{8} +(-6.84564 - 3.29669i) q^{9} +O(q^{10})\)	\(q+(-0.370259 - 1.62221i) q^{2} +(-0.724410 + 3.17385i) q^{3} +(-0.692544 + 0.333512i) q^{4} +(-2.53002 - 3.17255i) q^{5} +5.41688 q^{6} -2.21279 q^{7} +(-1.27744 - 1.60186i) q^{8} +(-6.84564 - 3.29669i) q^{9} +(-4.20978 + 5.27890i) q^{10} +(2.88829 + 1.39093i) q^{11} +(-0.556829 - 2.43963i) q^{12} +(3.72824 + 4.67506i) q^{13} +(0.819307 + 3.58962i) q^{14} +(11.9020 - 5.73168i) q^{15} +(-3.08408 + 3.86732i) q^{16} +(0.623490 - 0.781831i) q^{17} +(-2.81326 + 12.3257i) q^{18} +(1.54040 - 0.741820i) q^{19} +(2.81023 + 1.35334i) q^{20} +(1.60297 - 7.02307i) q^{21} +(1.18696 - 5.20042i) q^{22} +(1.21579 + 0.585492i) q^{23} +(6.00945 - 2.89400i) q^{24} +(-2.55144 + 11.1786i) q^{25} +(6.20353 - 7.77898i) q^{26} +(9.33298 - 11.7032i) q^{27} +(1.53246 - 0.737992i) q^{28} +(0.385590 + 1.68938i) q^{29} +(-13.7048 - 17.1853i) q^{30} +(0.692887 + 3.03573i) q^{31} +(3.72361 + 1.79320i) q^{32} +(-6.50689 + 8.15939i) q^{33} +(-1.49915 - 0.721953i) q^{34} +(5.59841 + 7.02019i) q^{35} +5.84039 q^{36} +0.711360 q^{37} +(-1.77374 - 2.22420i) q^{38} +(-17.5387 + 8.44620i) q^{39} +(-1.85002 + 8.10547i) q^{40} +(2.06026 + 9.02661i) q^{41} -11.9864 q^{42} +(6.16984 - 2.22105i) q^{43} -2.46416 q^{44} +(6.86072 + 30.0588i) q^{45} +(0.499636 - 2.18905i) q^{46} +(8.97799 - 4.32357i) q^{47} +(-10.0401 - 12.5899i) q^{48} -2.10355 q^{49} +19.0787 q^{50} +(2.02975 + 2.54523i) q^{51} +(-4.14115 - 1.99427i) q^{52} +(6.84949 - 8.58899i) q^{53} +(-22.4407 - 10.8069i) q^{54} +(-2.89465 - 12.6823i) q^{55} +(2.82671 + 3.54458i) q^{56} +(1.23854 + 5.42639i) q^{57} +(2.59777 - 1.25102i) q^{58} +(-5.95249 + 7.46419i) q^{59} +(-6.33104 + 7.93888i) q^{60} +(-2.83887 + 12.4379i) q^{61} +(4.66806 - 2.24802i) q^{62} +(15.1480 + 7.29488i) q^{63} +(-0.671148 + 2.94049i) q^{64} +(5.39933 - 23.6560i) q^{65} +(15.6455 + 7.53448i) q^{66} +(0.820560 - 0.395161i) q^{67} +(-0.171044 + 0.749394i) q^{68} +(-2.73899 + 3.43459i) q^{69} +(9.31537 - 11.6811i) q^{70} +(-6.56000 + 3.15913i) q^{71} +(3.46407 + 15.1771i) q^{72} +(7.39799 + 9.27679i) q^{73} +(-0.263388 - 1.15398i) q^{74} +(-33.6308 - 16.1957i) q^{75} +(-0.819392 + 1.02749i) q^{76} +(-6.39118 - 3.07783i) q^{77} +(20.1954 + 25.3242i) q^{78} -1.38785 q^{79} +20.0720 q^{80} +(16.1712 + 20.2781i) q^{81} +(13.8802 - 6.68437i) q^{82} +(0.527616 - 2.31164i) q^{83} +(1.23215 + 5.39839i) q^{84} -4.05784 q^{85} +(-5.88746 - 9.18643i) q^{86} -5.64117 q^{87} +(-1.46155 - 6.40346i) q^{88} +(-0.503985 + 2.20810i) q^{89} +(46.2215 - 22.2591i) q^{90} +(-8.24981 - 10.3449i) q^{91} -1.03725 q^{92} -10.1369 q^{93} +(-10.3379 - 12.9634i) q^{94} +(-6.25071 - 3.01018i) q^{95} +(-8.38876 + 10.5192i) q^{96} +(-7.05223 - 3.39618i) q^{97} +(0.778859 + 3.41240i) q^{98} +(-15.1867 - 19.0436i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 180 q - 4 q^{2} - 6 q^{3} - 34 q^{4} - 6 q^{5} - 14 q^{6} + 66 q^{7} + 2 q^{8} - 26 q^{9}+O(q^{10}) \) 180 * q - 4 * q^2 - 6 * q^3 - 34 * q^4 - 6 * q^5 - 14 * q^6 + 66 * q^7 + 2 * q^8 - 26 * q^9	\( 180 q - 4 q^{2} - 6 q^{3} - 34 q^{4} - 6 q^{5} - 14 q^{6} + 66 q^{7} + 2 q^{8} - 26 q^{9} - 8 q^{10} - 12 q^{11} - 24 q^{12} - 5 q^{13} - 8 q^{14} - q^{15} - 58 q^{16} - 30 q^{17} + 36 q^{18} - 24 q^{19} - 36 q^{20} - 28 q^{21} + 5 q^{22} + 27 q^{23} - 46 q^{24} - 38 q^{25} + 6 q^{26} - 36 q^{27} - 54 q^{28} + 28 q^{29} - 21 q^{30} + 36 q^{31} + 11 q^{32} + 5 q^{33} - 4 q^{34} + 6 q^{35} + 192 q^{36} + 164 q^{37} + 32 q^{38} - 34 q^{39} + 2 q^{40} + 42 q^{41} - 2 q^{42} - 22 q^{43} + 14 q^{44} + 58 q^{45} - 53 q^{46} + 21 q^{47} - 20 q^{48} + 166 q^{49} + 18 q^{50} - 6 q^{51} + 54 q^{52} + 8 q^{53} - 154 q^{54} - 5 q^{55} - 35 q^{56} + 8 q^{57} + 9 q^{58} - 13 q^{59} - 88 q^{60} - 34 q^{61} - 36 q^{62} - 31 q^{63} - 18 q^{64} + 9 q^{65} + 222 q^{66} - 48 q^{67} - 27 q^{68} + 2 q^{69} - 64 q^{70} - 42 q^{71} + 77 q^{72} - 44 q^{73} - 35 q^{74} - 21 q^{75} + 44 q^{76} - 32 q^{77} + 124 q^{78} - 96 q^{79} + 490 q^{80} - 12 q^{81} - 130 q^{82} - 8 q^{83} + 170 q^{84} + 22 q^{85} - 12 q^{86} - 90 q^{87} - 122 q^{88} - 81 q^{89} + 49 q^{90} - 27 q^{91} - 116 q^{92} + 18 q^{93} - 124 q^{94} + 117 q^{95} + 52 q^{96} - 79 q^{97} - 54 q^{98} - 39 q^{99}+O(q^{100}) \) 180 * q - 4 * q^2 - 6 * q^3 - 34 * q^4 - 6 * q^5 - 14 * q^6 + 66 * q^7 + 2 * q^8 - 26 * q^9 - 8 * q^10 - 12 * q^11 - 24 * q^12 - 5 * q^13 - 8 * q^14 - q^15 - 58 * q^16 - 30 * q^17 + 36 * q^18 - 24 * q^19 - 36 * q^20 - 28 * q^21 + 5 * q^22 + 27 * q^23 - 46 * q^24 - 38 * q^25 + 6 * q^26 - 36 * q^27 - 54 * q^28 + 28 * q^29 - 21 * q^30 + 36 * q^31 + 11 * q^32 + 5 * q^33 - 4 * q^34 + 6 * q^35 + 192 * q^36 + 164 * q^37 + 32 * q^38 - 34 * q^39 + 2 * q^40 + 42 * q^41 - 2 * q^42 - 22 * q^43 + 14 * q^44 + 58 * q^45 - 53 * q^46 + 21 * q^47 - 20 * q^48 + 166 * q^49 + 18 * q^50 - 6 * q^51 + 54 * q^52 + 8 * q^53 - 154 * q^54 - 5 * q^55 - 35 * q^56 + 8 * q^57 + 9 * q^58 - 13 * q^59 - 88 * q^60 - 34 * q^61 - 36 * q^62 - 31 * q^63 - 18 * q^64 + 9 * q^65 + 222 * q^66 - 48 * q^67 - 27 * q^68 + 2 * q^69 - 64 * q^70 - 42 * q^71 + 77 * q^72 - 44 * q^73 - 35 * q^74 - 21 * q^75 + 44 * q^76 - 32 * q^77 + 124 * q^78 - 96 * q^79 + 490 * q^80 - 12 * q^81 - 130 * q^82 - 8 * q^83 + 170 * q^84 + 22 * q^85 - 12 * q^86 - 90 * q^87 - 122 * q^88 - 81 * q^89 + 49 * q^90 - 27 * q^91 - 116 * q^92 + 18 * q^93 - 124 * q^94 + 117 * q^95 + 52 * q^96 - 79 * q^97 - 54 * q^98 - 39 * q^99

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