LMFDB - Embedded newform 637.2.w.b.92.17

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [637,2,Mod(92,637)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(637, base_ring=CyclotomicField(14))

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

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

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

chi := DirichletCharacter("637.92");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 637 = 7^{2} \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	637.w (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:	$5.08647060876$
Analytic rank:	$0$
Dimension:	$174$
Relative dimension:	$29$ over $\Q(\zeta_{7})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			92.17
Character	$\chi$	$=$	637.92
Dual form			637.2.w.b.547.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.311250 - 0.390295i) q^{2} +(-1.89343 - 0.911826i) q^{3} +(0.389588 + 1.70690i) q^{4} +(-2.41457 - 1.16280i) q^{5} +(-0.945210 + 0.455189i) q^{6} +(0.718518 - 2.54632i) q^{7} +(1.68699 + 0.812413i) q^{8} +(0.883165 + 1.10745i) q^{9} +O(q^{10})$	\(q+(0.311250 - 0.390295i) q^{2} +(-1.89343 - 0.911826i) q^{3} +(0.389588 + 1.70690i) q^{4} +(-2.41457 - 1.16280i) q^{5} +(-0.945210 + 0.455189i) q^{6} +(0.718518 - 2.54632i) q^{7} +(1.68699 + 0.812413i) q^{8} +(0.883165 + 1.10745i) q^{9} +(-1.20537 + 0.580476i) q^{10} +(-1.57659 + 1.97698i) q^{11} +(0.818736 - 3.58712i) q^{12} +(0.623490 - 0.781831i) q^{13} +(-0.770177 - 1.07298i) q^{14} +(3.51155 + 4.40334i) q^{15} +(-2.31266 + 1.11372i) q^{16} +(-0.652379 + 2.85826i) q^{17} +0.707119 q^{18} -0.653699 q^{19} +(1.04409 - 4.57444i) q^{20} +(-3.68226 + 4.16610i) q^{21} +(0.280892 + 1.23067i) q^{22} +(0.927084 + 4.06182i) q^{23} +(-2.45342 - 3.07649i) q^{24} +(1.36062 + 1.70616i) q^{25} +(-0.111084 - 0.486690i) q^{26} +(0.740510 + 3.24439i) q^{27} +(4.62623 + 0.234421i) q^{28} +(-1.41763 + 6.21106i) q^{29} +2.81157 q^{30} -2.14402 q^{31} +(-1.11844 + 4.90022i) q^{32} +(4.78780 - 2.30568i) q^{33} +(0.912513 + 1.14425i) q^{34} +(-4.69576 + 5.31278i) q^{35} +(-1.54624 + 1.93892i) q^{36} +(-1.05766 + 4.63391i) q^{37} +(-0.203464 + 0.255136i) q^{38} +(-1.89343 + 0.911826i) q^{39} +(-3.12869 - 3.92326i) q^{40} +(6.69877 + 3.22596i) q^{41} +(0.479906 + 2.73387i) q^{42} +(-3.22861 + 1.55482i) q^{43} +(-3.98871 - 1.92086i) q^{44} +(-0.844722 - 3.70097i) q^{45} +(1.87386 + 0.902406i) q^{46} +(-1.15931 + 1.45373i) q^{47} +5.39437 q^{48} +(-5.96746 - 3.65915i) q^{49} +1.08940 q^{50} +(3.84147 - 4.81705i) q^{51} +(1.57741 + 0.759641i) q^{52} +(1.09120 + 4.78085i) q^{53} +(1.49675 + 0.720799i) q^{54} +(6.10560 - 2.94030i) q^{55} +(3.28080 - 3.71188i) q^{56} +(1.23773 + 0.596059i) q^{57} +(1.98291 + 2.48649i) q^{58} +(-7.68680 + 3.70177i) q^{59} +(-6.14799 + 7.70933i) q^{60} +(0.103882 - 0.455137i) q^{61} +(-0.667327 + 0.836802i) q^{62} +(3.45450 - 1.45309i) q^{63} +(-1.63641 - 2.05199i) q^{64} +(-2.41457 + 1.16280i) q^{65} +(0.590307 - 2.58630i) q^{66} +9.76851 q^{67} -5.13291 q^{68} +(1.94831 - 8.53609i) q^{69} +(0.611995 + 3.48634i) q^{70} +(-1.65743 - 7.26167i) q^{71} +(0.590183 + 2.58576i) q^{72} +(-5.88409 - 7.37842i) q^{73} +(1.47940 + 1.85510i) q^{74} +(-1.02051 - 4.47113i) q^{75} +(-0.254673 - 1.11580i) q^{76} +(3.90120 + 5.43498i) q^{77} +(-0.233448 + 1.02280i) q^{78} -4.47980 q^{79} +6.87912 q^{80} +(2.50181 - 10.9611i) q^{81} +(3.34407 - 1.61042i) q^{82} +(0.977282 + 1.22547i) q^{83} +(-8.54566 - 4.66217i) q^{84} +(4.89879 - 6.14289i) q^{85} +(-0.398068 + 1.74405i) q^{86} +(8.34759 - 10.4675i) q^{87} +(-4.26581 + 2.05430i) q^{88} +(-1.46825 - 1.84112i) q^{89} +(-1.70739 - 0.822236i) q^{90} +(-1.54280 - 2.14936i) q^{91} +(-6.57193 + 3.16487i) q^{92} +(4.05955 + 1.95497i) q^{93} +(0.206549 + 0.904950i) q^{94} +(1.57840 + 0.760119i) q^{95} +(6.58583 - 8.25837i) q^{96} +8.04462 q^{97} +(-3.28552 + 1.19016i) q^{98} -3.58179 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9}+O(q^{10}) $ 174 * q - 3 * q^2 - 31 * q^4 - 4 * q^5 - 2 * q^6 + 9 * q^7 - 15 * q^8 - 31 * q^9	\( 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9} - 10 q^{10} - 5 q^{11} + 25 q^{12} - 29 q^{13} + 15 q^{14} - 10 q^{15} - 51 q^{16} - 9 q^{17} + 44 q^{18} + 24 q^{19} + 63 q^{20} - 28 q^{21} - 8 q^{22} - 13 q^{23} - 48 q^{24} - 49 q^{25} - 3 q^{26} - 9 q^{27} - 44 q^{28} + 2 q^{29} - 22 q^{30} + 10 q^{31} + 24 q^{32} - 26 q^{33} + 118 q^{34} + 5 q^{35} - 55 q^{36} - 32 q^{37} + 16 q^{38} + 42 q^{40} - 14 q^{41} + 4 q^{42} - 50 q^{43} + 35 q^{44} - q^{45} + 4 q^{46} - 24 q^{47} - 116 q^{48} - 25 q^{49} + 156 q^{50} + 12 q^{51} - 31 q^{52} - 30 q^{53} - 78 q^{54} + 25 q^{55} + 3 q^{56} - 63 q^{57} - 12 q^{58} - 4 q^{59} + 128 q^{60} - 42 q^{61} - 38 q^{62} - 85 q^{63} - 105 q^{64} - 4 q^{65} + 15 q^{66} + 94 q^{67} + 214 q^{68} + 32 q^{69} - 57 q^{70} - 29 q^{71} - 64 q^{72} - 66 q^{73} - 90 q^{74} + 131 q^{75} - 21 q^{76} - 82 q^{77} + 19 q^{78} + 6 q^{79} + 22 q^{80} + 49 q^{81} - 50 q^{82} + 25 q^{83} + 89 q^{84} - 86 q^{85} - 28 q^{86} + 24 q^{87} + 48 q^{88} - 50 q^{89} - 155 q^{90} - 5 q^{91} - 98 q^{92} + 89 q^{93} - 28 q^{94} - 130 q^{95} - 105 q^{96} - 42 q^{97} + 195 q^{98} + 438 q^{99}+O(q^{100}) \) 174 * q - 3 * q^2 - 31 * q^4 - 4 * q^5 - 2 * q^6 + 9 * q^7 - 15 * q^8 - 31 * q^9 - 10 * q^10 - 5 * q^11 + 25 * q^12 - 29 * q^13 + 15 * q^14 - 10 * q^15 - 51 * q^16 - 9 * q^17 + 44 * q^18 + 24 * q^19 + 63 * q^20 - 28 * q^21 - 8 * q^22 - 13 * q^23 - 48 * q^24 - 49 * q^25 - 3 * q^26 - 9 * q^27 - 44 * q^28 + 2 * q^29 - 22 * q^30 + 10 * q^31 + 24 * q^32 - 26 * q^33 + 118 * q^34 + 5 * q^35 - 55 * q^36 - 32 * q^37 + 16 * q^38 + 42 * q^40 - 14 * q^41 + 4 * q^42 - 50 * q^43 + 35 * q^44 - q^45 + 4 * q^46 - 24 * q^47 - 116 * q^48 - 25 * q^49 + 156 * q^50 + 12 * q^51 - 31 * q^52 - 30 * q^53 - 78 * q^54 + 25 * q^55 + 3 * q^56 - 63 * q^57 - 12 * q^58 - 4 * q^59 + 128 * q^60 - 42 * q^61 - 38 * q^62 - 85 * q^63 - 105 * q^64 - 4 * q^65 + 15 * q^66 + 94 * q^67 + 214 * q^68 + 32 * q^69 - 57 * q^70 - 29 * q^71 - 64 * q^72 - 66 * q^73 - 90 * q^74 + 131 * q^75 - 21 * q^76 - 82 * q^77 + 19 * q^78 + 6 * q^79 + 22 * q^80 + 49 * q^81 - 50 * q^82 + 25 * q^83 + 89 * q^84 - 86 * q^85 - 28 * q^86 + 24 * q^87 + 48 * q^88 - 50 * q^89 - 155 * q^90 - 5 * q^91 - 98 * q^92 + 89 * q^93 - 28 * q^94 - 130 * q^95 - 105 * q^96 - 42 * q^97 + 195 * q^98 + 438 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/637\mathbb{Z}\right)^\times$.

$n$	$197$	$248$
$\chi(n)$	$1$	$e\left(\frac{1}{7}\right)$

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 $

$2$	0.311250	−	0.390295i	0.220087	−	0.275981i	−0.659514	−	0.751692i	$-0.729238\pi$
$2$	0.311250	−	0.390295i	0.220087	−	0.275981i	0.879601	+	0.475712i	$0.157809\pi$
$3$	−1.89343	−	0.911826i	−1.09317	−	0.526443i	−0.201665	−	0.979455i	$-0.564635\pi$
$3$	−1.89343	−	0.911826i	−1.09317	−	0.526443i	−0.891505	+	0.453012i	$0.850350\pi$
$4$	0.389588	+	1.70690i	0.194794	+	0.853448i
$5$	−2.41457	−	1.16280i	−1.07983	−	0.520019i	−0.192567	−	0.981284i	$-0.561681\pi$
$5$	−2.41457	−	1.16280i	−1.07983	−	0.520019i	−0.887262	+	0.461265i	$0.847396\pi$
$6$	−0.945210	+	0.455189i	−0.385881	+	0.185830i
$7$	0.718518	−	2.54632i	0.271574	−	0.962417i
$7$	0.718518	−	2.54632i	0.271574	−	0.962417i
$8$	1.68699	+	0.812413i	0.596442	+	0.287231i
$9$	0.883165	+	1.10745i	0.294388	+	0.369151i
$10$	−1.20537	+	0.580476i	−0.381172	+	0.183563i
$11$	−1.57659	+	1.97698i	−0.475358	+	0.596080i	−0.960474	−	0.278369i	$-0.910206\pi$
$11$	−1.57659	+	1.97698i	−0.475358	+	0.596080i	0.485116	+	0.874450i	$0.338777\pi$
$12$	0.818736	−	3.58712i	0.236349	−	1.03551i
$13$	0.623490	−	0.781831i	0.172925	−	0.216841i
$13$	0.623490	−	0.781831i	0.172925	−	0.216841i
$14$	−0.770177	−	1.07298i	−0.205838	−	0.286765i
$15$	3.51155	+	4.40334i	0.906677	+	1.13694i
$16$	−2.31266	+	1.11372i	−0.578165	+	0.278430i
$17$	−0.652379	+	2.85826i	−0.158225	+	0.693230i	0.832119	+	0.554598i	$0.187128\pi$
$17$	−0.652379	+	2.85826i	−0.158225	+	0.693230i	−0.990344	+	0.138632i	$0.955729\pi$
$18$	0.707119			0.166670
$19$	−0.653699			−0.149969			−0.0749844	−	0.997185i	$-0.523891\pi$
$19$	−0.653699			−0.149969			−0.0749844	+	0.997185i	$0.523891\pi$
$20$	1.04409	−	4.57444i	0.233465	−	1.02288i
$21$	−3.68226	+	4.16610i	−0.803535	+	0.909117i
$22$	0.280892	+	1.23067i	0.0598864	+	0.262379i
$23$	0.927084	+	4.06182i	0.193310	+	0.846948i	0.974809	+	0.223041i	$0.0715984\pi$
$23$	0.927084	+	4.06182i	0.193310	+	0.846948i	−0.781499	+	0.623907i	$0.785544\pi$
$24$	−2.45342	−	3.07649i	−0.500801	−	0.627985i
$25$	1.36062	+	1.70616i	0.272123	+	0.341231i
$26$	−0.111084	−	0.486690i	−0.0217853	−	0.0954478i
$27$	0.740510	+	3.24439i	0.142511	+	0.624383i
$28$	4.62623	+	0.234421i	0.874275	+	0.0443015i
$29$	−1.41763	+	6.21106i	−0.263248	+	1.15337i	0.654456	+	0.756100i	$0.272898\pi$
$29$	−1.41763	+	6.21106i	−0.263248	+	1.15337i	−0.917704	+	0.397265i	$0.869959\pi$
$30$	2.81157			0.513320
$31$	−2.14402			−0.385078			−0.192539	−	0.981289i	$-0.561672\pi$
$31$	−2.14402			−0.385078			−0.192539	+	0.981289i	$0.561672\pi$
$32$	−1.11844	+	4.90022i	−0.197715	+	0.866244i
$33$	4.78780	−	2.30568i	0.833450	−	0.401368i
$34$	0.912513	+	1.14425i	0.156495	+	0.196238i
$35$	−4.69576	+	5.31278i	−0.793729	+	0.898023i
$36$	−1.54624	+	1.93892i	−0.257706	+	0.323154i
$37$	−1.05766	+	4.63391i	−0.173878	+	0.761809i	0.810500	+	0.585739i	$0.199196\pi$
$37$	−1.05766	+	4.63391i	−0.173878	+	0.761809i	−0.984378	+	0.176070i	$0.943661\pi$
$38$	−0.203464	+	0.255136i	−0.0330062	+	0.0413885i
$39$	−1.89343	+	0.911826i	−0.303191	+	0.146009i
$40$	−3.12869	−	3.92326i	−0.494690	−	0.620322i
$41$	6.69877	+	3.22596i	1.04617	+	0.503810i	0.876355	−	0.481666i	$-0.159968\pi$
$41$	6.69877	+	3.22596i	1.04617	+	0.503810i	0.169817	+	0.985476i	$0.445682\pi$
$42$	0.479906	+	2.73387i	0.0740511	+	0.421845i
$43$	−3.22861	+	1.55482i	−0.492359	+	0.237108i	−0.663552	−	0.748130i	$-0.730952\pi$
$43$	−3.22861	+	1.55482i	−0.492359	+	0.237108i	0.171193	+	0.985237i	$0.445238\pi$
$44$	−3.98871	−	1.92086i	−0.601321	−	0.289581i
$45$	−0.844722	−	3.70097i	−0.125924	−	0.551708i
$46$	1.87386	+	0.902406i	0.276286	+	0.133052i
$47$	−1.15931	+	1.45373i	−0.169103	+	0.212049i	−0.859161	−	0.511706i	$-0.829014\pi$
$47$	−1.15931	+	1.45373i	−0.169103	+	0.212049i	0.690057	+	0.723755i	$0.257585\pi$
$48$	5.39437			0.778610
$49$	−5.96746	−	3.65915i	−0.852495	−	0.522736i
$50$	1.08940			0.154064
$51$	3.84147	−	4.81705i	0.537913	−	0.674521i
$52$	1.57741	+	0.759641i	0.218747	+	0.105343i
$53$	1.09120	+	4.78085i	0.149888	+	0.656700i	0.992915	+	0.118829i	$0.0379141\pi$
$53$	1.09120	+	4.78085i	0.149888	+	0.656700i	−0.843027	+	0.537871i	$0.819229\pi$
$54$	1.49675	+	0.720799i	0.203682	+	0.0980883i
$55$	6.10560	−	2.94030i	0.823279	−	0.396470i
$56$	3.28080	−	3.71188i	0.438415	−	0.496021i
$57$	1.23773	+	0.596059i	0.163941	+	0.0789500i
$58$	1.98291	+	2.48649i	0.260369	+	0.326492i
$59$	−7.68680	+	3.70177i	−1.00074	+	0.481929i	−0.861188	−	0.508286i	$-0.830279\pi$
$59$	−7.68680	+	3.70177i	−1.00074	+	0.481929i	−0.139548	+	0.990215i	$0.544565\pi$
$60$	−6.14799	+	7.70933i	−0.793702	+	0.995271i
$61$	0.103882	−	0.455137i	0.0133007	−	0.0582744i	−0.967842	−	0.251559i	$-0.919057\pi$
$61$	0.103882	−	0.455137i	0.0133007	−	0.0582744i	0.981143	+	0.193284i	$0.0619140\pi$
$62$	−0.667327	+	0.836802i	−0.0847506	+	0.106274i
$63$	3.45450	−	1.45309i	0.435226	−	0.183072i
$64$	−1.63641	−	2.05199i	−0.204551	−	0.256499i
$65$	−2.41457	+	1.16280i	−0.299491	+	0.144227i
$66$	0.590307	−	2.58630i	0.0726617	−	0.318352i
$67$	9.76851			1.19341			0.596707	−	0.802459i	$-0.296476\pi$
$67$	9.76851			1.19341			0.596707	+	0.802459i	$0.296476\pi$
$68$	−5.13291			−0.622457
$69$	1.94831	−	8.53609i	0.234549	−	1.02762i
$70$	0.611995	+	3.48634i	0.0731474	+	0.416697i
$71$	−1.65743	−	7.26167i	−0.196701	−	0.861801i	−0.972884	−	0.231294i	$-0.925704\pi$
$71$	−1.65743	−	7.26167i	−0.196701	−	0.861801i	0.776183	−	0.630507i	$-0.217153\pi$
$72$	0.590183	+	2.58576i	0.0695537	+	0.304735i
$73$	−5.88409	−	7.37842i	−0.688681	−	0.863579i	0.307440	−	0.951567i	$-0.400528\pi$
$73$	−5.88409	−	7.37842i	−0.688681	−	0.863579i	−0.996121	+	0.0879886i	$0.971956\pi$
$74$	1.47940	+	1.85510i	0.171976	+	0.215651i
$75$	−1.02051	−	4.47113i	−0.117838	−	0.516281i
$76$	−0.254673	−	1.11580i	−0.0292130	−	0.127991i
$77$	3.90120	+	5.43498i	0.444583	+	0.619373i
$78$	−0.233448	+	1.02280i	−0.0264327	+	0.115809i
$79$	−4.47980			−0.504017			−0.252008	−	0.967725i	$-0.581091\pi$
$79$	−4.47980			−0.504017			−0.252008	+	0.967725i	$0.581091\pi$
$80$	6.87912			0.769109
$81$	2.50181	−	10.9611i	0.277979	−	1.21790i
$82$	3.34407	−	1.61042i	0.369291	−	0.177841i
$83$	0.977282	+	1.22547i	0.107271	+	0.134513i	0.832569	−	0.553922i	$-0.186869\pi$
$83$	0.977282	+	1.22547i	0.107271	+	0.134513i	−0.725298	+	0.688435i	$0.758298\pi$
$84$	−8.54566	−	4.66217i	−0.932408	−	0.508685i
$85$	4.89879	−	6.14289i	0.531349	−	0.666290i
$86$	−0.398068	+	1.74405i	−0.0429248	+	0.188066i
$87$	8.34759	−	10.4675i	0.894956	−	1.12224i
$88$	−4.26581	+	2.05430i	−0.454737	+	0.218990i
$89$	−1.46825	−	1.84112i	−0.155634	−	0.195159i	0.697901	−	0.716194i	$-0.254117\pi$
$89$	−1.46825	−	1.84112i	−0.155634	−	0.195159i	−0.853535	+	0.521035i	$0.825546\pi$
$90$	−1.70739	−	0.822236i	−0.179975	−	0.0866713i
$91$	−1.54280	−	2.14936i	−0.161730	−	0.225314i
$92$	−6.57193	+	3.16487i	−0.685171	+	0.329961i
$93$	4.05955	+	1.95497i	0.420955	+	0.202721i
$94$	0.206549	+	0.904950i	0.0213039	+	0.0933385i
$95$	1.57840	+	0.760119i	0.161941	+	0.0779865i
$96$	6.58583	−	8.25837i	0.672164	−	0.842866i
$97$	8.04462			0.816808			0.408404	−	0.912801i	$-0.366085\pi$
$97$	8.04462			0.816808			0.408404	+	0.912801i	$0.366085\pi$
$98$	−3.28552	+	1.19016i	−0.331888	+	0.120225i
$99$	−3.58179			−0.359984
$100$	−2.38216	+	2.98713i	−0.238216	+	0.298713i
$101$	−4.58849	−	2.20970i	−0.456572	−	0.219874i	0.191439	−	0.981505i	$-0.438685\pi$
$101$	−4.58849	−	2.20970i	−0.456572	−	0.219874i	−0.648011	+	0.761631i	$0.724399\pi$
$102$	−0.684414	−	2.99861i	−0.0677671	−	0.296907i
$103$	−10.1930	−	4.90870i	−1.00435	−	0.483669i	−0.141937	−	0.989876i	$-0.545333\pi$
$103$	−10.1930	−	4.90870i	−1.00435	−	0.483669i	−0.862412	+	0.506207i	$0.831047\pi$
$104$	1.68699	−	0.812413i	0.165423	−	0.0796636i
$105$	13.7354	−	5.77763i	1.34044	−	0.563839i
$106$	2.20558	+	1.06215i	0.214225	+	0.103165i
$107$	5.77950	+	7.24726i	0.558725	+	0.700619i	0.978322	−	0.207092i	$-0.0663999\pi$
$107$	5.77950	+	7.24726i	0.558725	+	0.700619i	−0.419597	+	0.907711i	$0.637828\pi$
$108$	−5.24934	+	2.52795i	−0.505118	+	0.243252i
$109$	0.433043	−	0.543019i	0.0414780	−	0.0520118i	−0.760660	−	0.649151i	$-0.775124\pi$
$109$	0.433043	−	0.543019i	0.0414780	−	0.0520118i	0.802138	+	0.597139i	$0.203696\pi$
$110$	0.752783	−	3.29816i	0.0717750	−	0.314467i
$111$	6.22791	−	7.80955i	0.591127	−	0.741250i
$112$	1.17419	+	6.68900i	0.110951	+	0.632051i
$113$	5.43423	+	6.81431i	0.511209	+	0.641036i	0.968717	−	0.248170i	$-0.0798290\pi$
$113$	5.43423	+	6.81431i	0.511209	+	0.641036i	−0.457507	+	0.889206i	$0.651258\pi$
$114$	0.617883	−	0.297557i	0.0578700	−	0.0278687i
$115$	2.48456	−	10.8856i	0.231686	−	1.01508i
$116$	−11.1539			−1.03562
$117$	1.41649			0.130954
$118$	−0.947735	+	4.15230i	−0.0872461	+	0.382250i
$119$	6.80929	+	3.71488i	0.624207	+	0.340542i
$120$	2.34662	+	10.2812i	0.214216	+	0.938543i
$121$	1.02492	+	4.49047i	0.0931745	+	0.408224i
$122$	−0.145305	−	0.182206i	−0.0131553	−	0.0164962i
$123$	−9.74211	−	12.2162i	−0.878417	−	1.10150i
$124$	−0.835285	−	3.65962i	−0.0750108	−	0.328644i
$125$	1.68036	+	7.36214i	0.150296	+	0.658490i
$126$	0.508078	−	1.80055i	0.0452632	−	0.160406i
$127$	2.64810	−	11.6021i	0.234981	−	1.02952i	−0.710464	−	0.703734i	$-0.751515\pi$
$127$	2.64810	−	11.6021i	0.234981	−	1.02952i	0.945444	−	0.325784i	$-0.105628\pi$
$128$	−11.3627			−1.00433
$129$	7.53086			0.663055
$130$	−0.297702	+	1.30432i	−0.0261102	+	0.114396i
$131$	−18.9995	+	9.14970i	−1.66000	+	0.799413i	−0.661210	+	0.750201i	$0.729957\pi$
$131$	−18.9995	+	9.14970i	−1.66000	+	0.799413i	−0.998788	+	0.0492120i	$0.984329\pi$
$132$	5.80084	+	7.27402i	0.504898	+	0.633122i
$133$	−0.469694	+	1.66452i	−0.0407277	+	0.144333i
$134$	3.04045	−	3.81261i	0.262655	−	0.329359i
$135$	1.98455	−	8.69487i	0.170803	−	0.748336i
$136$	−3.42265	+	4.29186i	−0.293489	+	0.368024i
$137$	−5.21162	+	2.50979i	−0.445259	+	0.214425i	−0.643059	−	0.765817i	$-0.722335\pi$
$137$	−5.21162	+	2.50979i	−0.445259	+	0.214425i	0.197799	+	0.980243i	$0.436621\pi$
$138$	−2.72519	−	3.41728i	−0.231983	−	0.290898i
$139$	−12.9396	−	6.23136i	−1.09752	−	0.528537i	−0.204641	−	0.978837i	$-0.565603\pi$
$139$	−12.9396	−	6.23136i	−1.09752	−	0.528537i	−0.892877	+	0.450300i	$0.851317\pi$
$140$	−10.8978	−	5.94539i	−0.921030	−	0.502477i
$141$	3.52063	−	1.69545i	0.296490	−	0.142782i
$142$	−3.35007	−	1.61331i	−0.281132	−	0.135386i
$143$	0.562677	+	2.46525i	0.0470534	+	0.206154i
$144$	−3.27585	−	1.57757i	−0.272988	−	0.131464i
$145$	10.6452	−	13.3486i	0.884034	−	1.10854i
$146$	−4.71119			−0.389901
$147$	7.96244	+	12.3696i	0.656731	+	1.02023i
$148$	−8.32165			−0.684035
$149$	1.35158	−	1.69483i	0.110726	−	0.138846i	−0.723380	−	0.690450i	$-0.757413\pi$
$149$	1.35158	−	1.69483i	0.110726	−	0.138846i	0.834106	+	0.551604i	$0.185984\pi$
$150$	−2.06269	−	0.993340i	−0.168418	−	0.0811059i
$151$	−4.79823	−	21.0224i	−0.390474	−	1.71078i	−0.662990	−	0.748628i	$-0.730713\pi$
$151$	−4.79823	−	21.0224i	−0.390474	−	1.71078i	0.272516	−	0.962151i	$-0.412144\pi$
$152$	−1.10278	−	0.531073i	−0.0894476	−	0.0430757i
$153$	−3.74155	+	1.80183i	−0.302486	+	0.145670i
$154$	3.33550	+	0.169017i	0.268782	+	0.0136198i
$155$	5.17690	+	2.49306i	0.415818	+	0.200248i
$156$	−2.29405	−	2.87665i	−0.183671	−	0.230316i
$157$	−21.0914	+	10.1571i	−1.68327	+	0.810622i	−0.686789	+	0.726857i	$0.740980\pi$
$157$	−21.0914	+	10.1571i	−1.68327	+	0.810622i	−0.996486	+	0.0837648i	$0.973306\pi$
$158$	−1.39434	+	1.74845i	−0.110928	+	0.139099i
$159$	2.29320	−	10.0472i	0.181863	−	0.796792i
$160$	8.39852	−	10.5314i	0.663961	−	0.832581i
$161$	11.0088	+	0.557841i	0.867616	+	0.0439640i
$162$	−3.49939	−	4.38810i	−0.274938	−	0.344762i
$163$	−17.7972	+	8.57067i	−1.39398	+	0.671307i	−0.971931	−	0.235265i	$-0.924404\pi$
$163$	−17.7972	+	8.57067i	−1.39398	+	0.671307i	−0.422052	+	0.906572i	$0.638690\pi$
$164$	−2.89662	+	12.6909i	−0.226188	+	0.990993i
$165$	−14.2415			−1.10870
$166$	0.782476			0.0607319
$167$	1.43099	−	6.26956i	0.110733	−	0.485153i	−0.888901	−	0.458100i	$-0.848530\pi$
$167$	1.43099	−	6.26956i	0.110733	−	0.485153i	0.999634	−	0.0270538i	$-0.00861254\pi$
$168$	−9.59653	+	4.03666i	−0.740389	+	0.311435i
$169$	−0.222521	−	0.974928i	−0.0171170	−	0.0749945i
$170$	−0.872792	−	3.82395i	−0.0669401	−	0.293284i
$171$	−0.577323	−	0.723941i	−0.0441490	−	0.0553611i
$172$	−3.91174	−	4.90517i	−0.298268	−	0.374016i
$173$	3.18890	+	13.9715i	0.242447	+	1.06223i	0.938781	+	0.344514i	$0.111956\pi$
$173$	3.18890	+	13.9715i	0.242447	+	1.06223i	−0.696334	+	0.717718i	$0.745187\pi$
$174$	−1.48725	−	6.51605i	−0.112748	−	0.493981i
$175$	5.32204	−	2.23865i	0.402309	−	0.169226i
$176$	1.44431	−	6.32795i	0.108869	−	0.476987i
$177$	17.9298			1.34768
$178$	−1.17557			−0.0881129
$179$	5.22050	−	22.8725i	0.390199	−	1.70957i	−0.273755	−	0.961799i	$-0.588266\pi$
$179$	5.22050	−	22.8725i	0.390199	−	1.70957i	0.663954	−	0.747773i	$-0.268877\pi$
$180$	5.98808	−	2.88371i	0.446325	−	0.214939i
$181$	6.67713	+	8.37286i	0.496307	+	0.622349i	0.965392	−	0.260804i	$-0.0839875\pi$
$181$	6.67713	+	8.37286i	0.496307	+	0.622349i	−0.469085	+	0.883153i	$0.655416\pi$
$182$	−1.31908	−	0.0668410i	−0.0977770	−	0.00495458i
$183$	−0.611699	+	0.767046i	−0.0452181	+	0.0567017i
$184$	−1.73589	+	7.60543i	−0.127972	+	0.560680i
$185$	7.94208	−	9.95906i	0.583914	−	0.732205i
$186$	2.02655	−	0.975936i	0.148594	−	0.0715591i
$187$	−4.62218	−	5.79603i	−0.338007	−	0.423848i
$188$	−2.93303	−	1.41247i	−0.213913	−	0.103015i
$189$	8.79331	+	0.445577i	0.639619	+	0.0324110i
$190$	0.787949	−	0.379456i	0.0571638	−	0.0275286i
$191$	−10.9753	−	5.28540i	−0.794142	−	0.382438i	−0.00759640	−	0.999971i	$-0.502418\pi$
$191$	−10.9753	−	5.28540i	−0.794142	−	0.382438i	−0.786545	+	0.617533i	$0.788132\pi$
$192$	1.22736	+	5.37741i	0.0885769	+	0.388081i
$193$	17.2348	+	8.29984i	1.24059	+	0.597435i	0.934973	−	0.354720i	$-0.115424\pi$
$193$	17.2348	+	8.29984i	1.24059	+	0.597435i	0.305615	+	0.952155i	$0.401138\pi$
$194$	2.50389	−	3.13978i	0.179769	−	0.225423i
$195$	5.63208			0.403322
$196$	3.92094	−	11.6114i	0.280067	−	0.829386i
$197$	19.3548			1.37897			0.689485	−	0.724300i	$-0.257837\pi$
$197$	19.3548			1.37897			0.689485	+	0.724300i	$0.257837\pi$
$198$	−1.11483	+	1.39796i	−0.0792278	+	0.0993485i
$199$	8.39940	+	4.04494i	0.595418	+	0.286738i	0.707221	−	0.706992i	$-0.249948\pi$
$199$	8.39940	+	4.04494i	0.595418	+	0.286738i	−0.111803	+	0.993730i	$0.535663\pi$
$200$	0.909243	+	3.98366i	0.0642932	+	0.281687i
$201$	−18.4960	−	8.90718i	−1.30460	−	0.628264i
$202$	−2.29061	+	1.10310i	−0.161166	+	0.0776137i
$203$	14.7967	+	8.07251i	1.03853	+	0.566579i
$204$	9.71879	+	4.68032i	0.680451	+	0.327688i
$205$	−12.4235	−	15.5786i	−0.867697	−	1.08806i
$206$	−5.08843	+	2.45046i	−0.354527	+	0.170731i
$207$	−3.67951	+	4.61396i	−0.255743	+	0.320692i
$208$	−0.571180	+	2.50250i	−0.0396042	+	0.173517i
$209$	1.03061	−	1.29235i	0.0712889	−	0.0893934i
$210$	2.02017	−	7.15915i	0.139405	−	0.494029i
$211$	13.0486	+	16.3624i	0.898301	+	1.12643i	0.991412	+	0.130778i	$0.0417477\pi$
$211$	13.0486	+	16.3624i	0.898301	+	1.12643i	−0.0931103	+	0.995656i	$0.529681\pi$
$212$	−7.73530	+	3.72512i	−0.531263	+	0.255843i
$213$	−3.48316	+	15.2607i	−0.238662	+	1.04565i
$214$	4.62744			0.316325
$215$	9.60366			0.654964
$216$	−1.38655	+	6.07486i	−0.0943426	+	0.413342i
$217$	−1.54052	+	5.45936i	−0.104577	+	0.370605i
$218$	−0.0771530	−	0.338029i	−0.00522546	−	0.0228942i
$219$	4.41326	+	19.3358i	0.298220	+	1.30659i
$220$	7.39746	+	9.27612i	0.498737	+	0.625396i
$221$	1.82793	+	2.29215i	0.122960	+	0.154186i
$222$	−1.10959	−	4.86145i	−0.0744711	−	0.326279i
$223$	0.866835	+	3.79785i	0.0580476	+	0.254323i	0.995623	−	0.0934585i	$-0.0297922\pi$
$223$	0.866835	+	3.79785i	0.0580476	+	0.254323i	−0.937576	+	0.347781i	$0.886935\pi$
$224$	11.6739	+	6.36880i	0.779994	+	0.425534i
$225$	−0.687843	+	3.01364i	−0.0458562	+	0.200909i
$226$	4.35100			0.289424
$227$	2.12282			0.140896			0.0704482	−	0.997515i	$-0.477557\pi$
$227$	2.12282			0.140896			0.0704482	+	0.997515i	$0.477557\pi$
$228$	−0.535207	+	2.34489i	−0.0354449	+	0.155294i
$229$	4.98907	−	2.40261i	0.329687	−	0.158769i	−0.261716	−	0.965145i	$-0.584288\pi$
$229$	4.98907	−	2.40261i	0.329687	−	0.158769i	0.591403	+	0.806376i	$0.298574\pi$
$230$	−3.47527	−	4.35785i	−0.229152	−	0.287348i
$231$	−2.43088	−	13.8479i	−0.159940	−	0.911128i
$232$	−7.43748	+	9.32631i	−0.488295	+	0.612302i
$233$	−0.175875	+	0.770558i	−0.0115219	+	0.0504809i	−0.980362	−	0.197206i	$-0.936813\pi$
$233$	−0.175875	+	0.770558i	−0.0115219	+	0.0504809i	0.968840	+	0.247687i	$0.0796704\pi$
$234$	0.440882	−	0.552848i	0.0288213	−	0.0361408i
$235$	4.48965	−	2.16210i	0.292872	−	0.141040i
$236$	−9.31322	−	11.6784i	−0.606239	−	0.760200i
$237$	8.48217	+	4.08480i	0.550976	+	0.265336i
$238$	3.56929	−	1.50138i	0.231363	−	0.0973200i
$239$	−17.3122	+	8.33711i	−1.11983	+	0.539283i	−0.899841	−	0.436219i	$-0.856317\pi$
$239$	−17.3122	+	8.33711i	−1.11983	+	0.539283i	−0.219992	+	0.975502i	$0.570603\pi$
$240$	−13.0251	−	6.27256i	−0.840767	−	0.404892i
$241$	2.66686	+	11.6843i	0.171788	+	0.752651i	0.985262	+	0.171050i	$0.0547161\pi$
$241$	2.66686	+	11.6843i	0.171788	+	0.752651i	−0.813475	+	0.581600i	$0.802427\pi$
$242$	2.07162	+	0.997637i	0.133168	+	0.0641306i
$243$	−8.50704	+	10.6675i	−0.545727	+	0.684320i
$244$	0.817344			0.0523251
$245$	10.1540	+	15.7742i	0.648717	+	1.00778i
$246$	−7.80017			−0.497321
$247$	−0.407574	+	0.511082i	−0.0259333	+	0.0325194i
$248$	−3.61695	−	1.74183i	−0.229676	−	0.110606i
$249$	−0.732993	−	3.21145i	−0.0464515	−	0.203518i
$250$	3.39642	+	1.63563i	0.214809	+	0.103446i
$251$	6.32320	−	3.04509i	0.399117	−	0.192204i	−0.223549	−	0.974693i	$-0.571764\pi$
$251$	6.32320	−	3.04509i	0.399117	−	0.192204i	0.622665	+	0.782488i	$0.286050\pi$
$252$	3.82611	+	5.33036i	0.241022	+	0.335781i
$253$	−9.49174	−	4.57098i	−0.596741	−	0.287375i
$254$	−3.70402	−	4.64469i	−0.232411	−	0.291434i
$255$	−14.8767	+	7.16426i	−0.931618	+	0.448644i
$256$	−0.263824	+	0.330825i	−0.0164890	+	0.0206766i
$257$	−6.01881	+	26.3701i	−0.375443	+	1.64492i	0.335767	+	0.941945i	$0.391005\pi$
$257$	−6.01881	+	26.3701i	−0.375443	+	1.64492i	−0.711210	+	0.702979i	$0.751853\pi$
$258$	2.34398	−	2.93926i	0.145930	−	0.182990i
$259$	11.0394	+	6.02268i	0.685958	+	0.374231i
$260$	−2.92546	−	3.66841i	−0.181430	−	0.227505i
$261$	−8.13047	+	3.91543i	−0.503263	+	0.242359i
$262$	−2.34253	+	10.2633i	−0.144722	+	0.634068i
$263$	−22.3105			−1.37573			−0.687863	−	0.725841i	$-0.741451\pi$
$263$	−22.3105			−1.37573			−0.687863	+	0.725841i	$0.741451\pi$
$264$	9.95016			0.612390
$265$	2.92438	−	12.8125i	0.179643	−	0.787069i
$266$	0.503464	+	0.701403i	0.0308693	+	0.0430058i
$267$	1.10123	+	4.82481i	0.0673943	+	0.295274i
$268$	3.80570	+	16.6738i	0.232470	+	1.01852i
$269$	−2.52040	−	3.16049i	−0.153672	−	0.192698i	0.699036	−	0.715086i	$-0.253613\pi$
$269$	−2.52040	−	3.16049i	−0.153672	−	0.192698i	−0.852708	+	0.522388i	$0.825041\pi$
$270$	−2.77588	−	3.48084i	−0.168935	−	0.211837i
$271$	3.24673	+	14.2249i	0.197225	+	0.864099i	0.972579	+	0.232573i	$0.0747143\pi$
$271$	3.24673	+	14.2249i	0.197225	+	0.864099i	−0.775354	+	0.631527i	$0.782429\pi$
$272$	−1.67457	−	7.33676i	−0.101536	−	0.444856i
$273$	0.961337	+	5.47643i	0.0581828	+	0.331448i
$274$	−0.642561	+	2.81524i	−0.0388185	+	0.170075i
$275$	−5.51816			−0.332757
$276$	15.3293			0.922713
$277$	4.76203	−	20.8638i	0.286123	−	1.25359i	−0.603675	−	0.797231i	$-0.706297\pi$
$277$	4.76203	−	20.8638i	0.286123	−	1.25359i	0.889798	−	0.456356i	$-0.150845\pi$
$278$	−6.45951	+	3.11074i	−0.387416	+	0.186570i
$279$	−1.89352	−	2.37440i	−0.113362	−	0.142152i
$280$	−12.2379	+	5.14772i	−0.731354	+	0.307635i
$281$	3.70397	−	4.64463i	0.220960	−	0.277075i	−0.658979	−	0.752161i	$-0.729012\pi$
$281$	3.70397	−	4.64463i	0.220960	−	0.277075i	0.879940	+	0.475086i	$0.157583\pi$
$282$	0.434072	−	1.90179i	0.0258486	−	0.113250i
$283$	2.80256	−	3.51430i	0.166595	−	0.208903i	−0.691525	−	0.722352i	$-0.743061\pi$
$283$	2.80256	−	3.51430i	0.166595	−	0.208903i	0.858120	+	0.513449i	$0.171632\pi$
$284$	11.7492	−	5.65812i	0.697187	−	0.335748i
$285$	−2.29549	−	2.87846i	−0.135973	−	0.170505i
$286$	1.13731	+	0.547699i	0.0672504	+	0.0323861i
$287$	13.0275	−	14.7393i	0.768989	−	0.870032i
$288$	−6.41453	+	3.08908i	−0.377980	+	0.182025i
$289$	7.57242	+	3.64668i	0.445436	+	0.214511i
$290$	−1.89660	−	8.30953i	−0.111372	−	0.487953i
$291$	−15.2319	−	7.33530i	−0.892910	−	0.430003i
$292$	10.3018	−	12.9181i	0.602869	−	0.755974i
$293$	−12.2950			−0.718283			−0.359141	−	0.933283i	$-0.616930\pi$
$293$	−12.2950			−0.718283			−0.359141	+	0.933283i	$0.616930\pi$
$294$	7.30612	+	0.742341i	0.426101	+	0.0432942i
$295$	22.8647			1.33124
$296$	−5.54891	+	6.95811i	−0.322524	+	0.404432i
$297$	−7.58155	−	3.65108i	−0.439926	−	0.211857i
$298$	−0.240804	−	1.05503i	−0.0139494	−	0.0611164i
$299$	3.75369	+	1.80768i	0.217081	+	0.104541i
$300$	7.23417	−	3.48379i	0.417665	−	0.201137i
$301$	1.63924	+	9.33824i	0.0944844	+	0.538247i
$302$	−9.69840	−	4.67050i	−0.558080	−	0.268757i
$303$	6.67311	+	8.36781i	0.383360	+	0.480718i
$304$	1.51178	−	0.728037i	0.0867067	−	0.0417558i
$305$	−0.780063	+	0.978169i	−0.0446663	+	0.0560098i
$306$	−0.461310	+	2.02113i	−0.0263713	+	0.115540i
$307$	5.31873	−	6.66947i	0.303556	−	0.380647i	−0.606534	−	0.795057i	$-0.707441\pi$
$307$	5.31873	−	6.66947i	0.303556	−	0.380647i	0.910090	+	0.414410i	$0.136012\pi$
$308$	−7.75709	+	8.77635i	−0.442001	+	0.500079i
$309$	14.8239	+	18.5885i	0.843300	+	1.05746i
$310$	2.58434	−	1.24455i	0.146781	−	0.0706858i
$311$	3.45826	−	15.1516i	0.196100	−	0.859170i	−0.777131	−	0.629339i	$-0.783326\pi$
$311$	3.45826	−	15.1516i	0.196100	−	0.859170i	0.973231	−	0.229831i	$-0.0738173\pi$
$312$	−3.93497			−0.222774
$313$	30.9224			1.74784			0.873918	−	0.486073i	$-0.161571\pi$
$313$	30.9224			1.74784			0.873918	+	0.486073i	$0.161571\pi$
$314$	−2.60044	+	11.3933i	−0.146751	+	0.642958i
$315$	−10.0308	−	0.508283i	−0.565171	−	0.0286385i
$316$	−1.74528	−	7.64656i	−0.0981795	−	0.430152i
$317$	−1.93177	−	8.46363i	−0.108499	−	0.475365i	−0.999761	−	0.0218757i	$-0.993036\pi$
$317$	−1.93177	−	8.46363i	−0.108499	−	0.475365i	0.891262	−	0.453489i	$-0.149821\pi$
$318$	−3.20760	−	4.02221i	−0.179873	−	0.225554i
$319$	−10.0441	−	12.5949i	−0.562361	−	0.705179i
$320$	1.56518	+	6.85749i	0.0874960	+	0.383345i
$321$	−4.33481	−	18.9920i	−0.241945	−	1.06003i
$322$	3.64422	−	4.12306i	0.203084	−	0.229769i
$323$	0.426459	−	1.86844i	0.0237288	−	0.103963i
$324$	19.6842			1.09357
$325$	2.18226			0.121050
$326$	−2.19428	+	9.61379i	−0.121530	+	0.532458i
$327$	−1.31507	+	0.633306i	−0.0727237	+	0.0350219i
$328$	8.67997	+	10.8843i	0.479271	+	0.600987i
$329$	2.86868	+	3.99652i	0.158156	+	0.220335i
$330$	−4.43268	+	5.55841i	−0.244011	+	0.305980i
$331$	0.221397	−	0.970002i	0.0121691	−	0.0533161i	−0.968479	−	0.249096i	$-0.919867\pi$
$331$	0.221397	−	0.970002i	0.0121691	−	0.0533161i	0.980648	+	0.195780i	$0.0627237\pi$
$332$	−1.71102	+	2.14555i	−0.0939043	+	0.117752i
$333$	−6.06592	+	2.92119i	−0.332410	+	0.160080i
$334$	−2.00159	−	2.50991i	−0.109522	−	0.137336i
$335$	−23.5868	−	11.3588i	−1.28868	−	0.620597i
$336$	3.87595	−	13.7358i	0.211451	−	0.749348i
$337$	−18.1373	+	8.73445i	−0.988000	+	0.475796i	−0.856850	−	0.515567i	$-0.827581\pi$
$337$	−18.1373	+	8.73445i	−0.988000	+	0.475796i	−0.131151	+	0.991362i	$0.541867\pi$
$338$	−0.449770	−	0.216598i	−0.0244642	−	0.0117814i
$339$	−4.07585	−	17.8575i	−0.221370	−	0.969884i
$340$	12.3938	+	5.96854i	0.672148	+	0.323689i
$341$	3.38023	−	4.23868i	0.183050	−	0.229537i
$342$	−0.462243			−0.0249952
$343$	−13.6051	+	12.5659i	−0.734606	+	0.678494i
$344$	−6.70980			−0.361768
$345$	−14.6301	+	18.3455i	−0.787656	+	0.987690i
$346$	6.44555	+	3.10401i	0.346515	+	0.166873i
$347$	−4.41970	−	19.3640i	−0.237262	−	1.03951i	−0.943457	−	0.331495i	$-0.892447\pi$
$347$	−4.41970	−	19.3640i	−0.237262	−	1.03951i	0.706195	−	0.708017i	$-0.250410\pi$
$348$	21.1191	+	10.1704i	1.13210	+	0.545193i
$349$	−25.5262	+	12.2928i	−1.36639	+	0.658017i	−0.966051	−	0.258352i	$-0.916821\pi$
$349$	−25.5262	+	12.2928i	−1.36639	+	0.658017i	−0.400336	+	0.916369i	$0.631106\pi$
$350$	0.782752	−	2.77395i	0.0418398	−	0.148274i
$351$	2.99827	+	1.44389i	0.160036	+	0.0770691i
$352$	−7.92429	−	9.93674i	−0.422366	−	0.529630i
$353$	−24.3914	+	11.7463i	−1.29822	+	0.625191i	−0.950009	−	0.312224i	$-0.898926\pi$
$353$	−24.3914	+	11.7463i	−1.29822	+	0.625191i	−0.348214	+	0.937415i	$0.613212\pi$
$354$	5.58064	−	6.99790i	0.296608	−	0.371934i
$355$	−4.44186	+	19.4611i	−0.235750	+	1.03289i
$356$	2.57059	−	3.22342i	0.136241	−	0.170841i
$357$	−9.50557	−	13.2427i	−0.503088	−	0.700879i
$358$	−7.30216	−	9.15662i	−0.385931	−	0.483942i
$359$	12.1968	−	5.87367i	0.643723	−	0.310001i	−0.0833917	−	0.996517i	$-0.526575\pi$
$359$	12.1968	−	5.87367i	0.643723	−	0.310001i	0.727114	+	0.686516i	$0.240861\pi$
$360$	1.58167	−	6.92977i	0.0833616	−	0.365231i
$361$	−18.5727			−0.977509
$362$	5.34614			0.280987
$363$	2.15391	−	9.43691i	0.113051	−	0.495309i
$364$	3.06768	−	3.47077i	0.160790	−	0.181918i
$365$	5.62797	+	24.6577i	0.294581	+	1.29064i
$366$	0.108983	+	0.477487i	0.00569664	+	0.0249586i
$367$	14.2220	+	17.8338i	0.742383	+	0.930918i	0.999370	−	0.0354966i	$-0.0113013\pi$
$367$	14.2220	+	17.8338i	0.742383	+	0.930918i	−0.256987	+	0.966415i	$0.582730\pi$
$368$	−6.66776	−	8.36110i	−0.347581	−	0.435853i
$369$	2.34352	+	10.2676i	0.121999	+	0.534511i
$370$	−1.41500	−	6.19952i	−0.0735623	−	0.322298i
$371$	12.9576	+	0.656591i	0.672725	+	0.0340885i
$372$	−1.75539	+	7.69086i	−0.0910127	+	0.398752i
$373$	−14.2939			−0.740112			−0.370056	−	0.929009i	$-0.620662\pi$
$373$	−14.2939			−0.740112			−0.370056	+	0.929009i	$0.620662\pi$
$374$	−3.70082			−0.191365
$375$	3.53135	−	15.4719i	0.182358	−	0.798964i
$376$	−3.13679	+	1.51060i	−0.161767	+	0.0779031i
$377$	3.97212	+	4.98088i	0.204575	+	0.256529i
$378$	2.91083	−	3.29330i	0.149717	−	0.169389i
$379$	−19.5941	+	24.5702i	−1.00648	+	1.26209i	−0.0416734	+	0.999131i	$0.513269\pi$
$379$	−19.5941	+	24.5702i	−1.00648	+	1.26209i	−0.964808	+	0.262956i	$0.915303\pi$
$380$	−0.682517	+	2.99030i	−0.0350124	+	0.153399i
$381$	−15.5930	+	19.5531i	−0.798856	+	1.00173i
$382$	−5.47892	+	2.63851i	−0.280326	+	0.134998i
$383$	−23.0159	−	28.8610i	−1.17606	−	1.47473i	−0.847939	−	0.530094i	$-0.822157\pi$
$383$	−23.0159	−	28.8610i	−1.17606	−	1.47473i	−0.328119	−	0.944636i	$-0.606415\pi$
$384$	21.5144	+	10.3608i	1.09790	+	0.528722i
$385$	−3.09996	−	17.6595i	−0.157988	−	0.900009i
$386$	8.60372	−	4.14333i	0.437918	−	0.210890i
$387$	−4.57329	−	2.20238i	−0.232473	−	0.111953i
$388$	3.13409	+	13.7313i	0.159109	+	0.697103i
$389$	−14.0401	−	6.76135i	−0.711861	−	0.342814i	0.0426605	−	0.999090i	$-0.486417\pi$
$389$	−14.0401	−	6.76135i	−0.711861	−	0.342814i	−0.754521	+	0.656276i	$0.772131\pi$
$390$	1.75299	−	2.19818i	0.0887659	−	0.111309i
$391$	−12.2145			−0.617716
$392$	−7.09433	−	11.0210i	−0.358318	−	0.556645i
$393$	44.3172			2.23550
$394$	6.02417	−	7.55408i	0.303493	−	0.380569i
$395$	10.8168	+	5.20910i	0.544253	+	0.262098i
$396$	−1.39542	−	6.11375i	−0.0701227	−	0.307228i
$397$	19.6009	+	9.43930i	0.983741	+	0.473745i	0.855390	−	0.517984i	$-0.173317\pi$
$397$	19.6009	+	9.43930i	0.983741	+	0.473745i	0.128351	+	0.991729i	$0.459032\pi$
$398$	4.19304	−	2.01926i	0.210178	−	0.101216i
$399$	2.40709	−	2.72337i	0.120505	−	0.136339i
$400$	−5.04682	−	2.43042i	−0.252341	−	0.121521i
$401$	19.2377	+	24.1233i	0.960682	+	1.20466i	0.978799	+	0.204822i	$0.0656615\pi$
$401$	19.2377	+	24.1233i	0.960682	+	1.20466i	−0.0181168	+	0.999836i	$0.505767\pi$
$402$	−9.23330	+	4.44652i	−0.460515	+	0.221772i
$403$	−1.33678	+	1.67626i	−0.0665895	+	0.0835006i
$404$	1.98411	−	8.69296i	0.0987132	−	0.432491i
$405$	−18.7864	+	23.5574i	−0.933503	+	1.17058i
$406$	7.75615	−	3.26253i	0.384931	−	0.161917i
$407$	−7.49363	−	9.39671i	−0.371445	−	0.465778i
$408$	10.3940	−	5.00547i	0.514577	−	0.247807i
$409$	−2.88537	+	12.6417i	−0.142673	+	0.625089i	0.852136	+	0.523321i	$0.175307\pi$
$409$	−2.88537	+	12.6417i	−0.142673	+	0.625089i	−0.994808	+	0.101768i	$0.967550\pi$
$410$	−9.94709			−0.491252
$411$	12.1563			0.599626
$412$	4.40757	−	19.3108i	0.217145	−	0.951376i
$413$	3.90277	+	22.2328i	0.192043	+	1.09401i
$414$	0.655559	+	2.87219i	0.0322190	+	0.141160i
$415$	−0.934742	−	4.09537i	−0.0458847	−	0.201034i
$416$	3.13381	+	3.92967i	0.153647	+	0.192668i
$417$	18.8182	+	23.5972i	0.921530	+	1.15556i
$418$	−0.183619	−	0.804486i	−0.00898108	−	0.0393487i
$419$	−6.93410	−	30.3803i	−0.338753	−	1.48417i	−0.801667	−	0.597771i	$-0.796053\pi$
$419$	−6.93410	−	30.3803i	−0.338753	−	1.48417i	0.462914	−	0.886403i	$-0.346804\pi$
$420$	15.2130	+	21.1940i	0.742317	+	1.03416i
$421$	2.76156	−	12.0992i	0.134590	−	0.589678i	−0.861981	−	0.506940i	$-0.830777\pi$
$421$	2.76156	−	12.0992i	0.134590	−	0.589678i	0.996571	−	0.0827375i	$-0.0263663\pi$
$422$	10.4475			0.508578
$423$	−2.63381			−0.128060
$424$	−2.04318	+	8.95176i	−0.0992256	+	0.434736i
$425$	−5.76428	+	2.77593i	−0.279609	+	0.134652i
$426$	4.87205	+	6.10936i	0.236052	+	0.296000i
$427$	−1.08428	−	0.591541i	−0.0524721	−	0.0286267i
$428$	−10.1187	+	12.6884i	−0.489106	+	0.613319i
$429$	1.18249	−	5.18083i	0.0570911	−	0.250133i
$430$	2.98914	−	3.74826i	0.144149	−	0.180757i
$431$	−8.03879	+	3.87128i	−0.387215	+	0.186473i	−0.617355	−	0.786685i	$-0.711796\pi$
$431$	−8.03879	+	3.87128i	−0.387215	+	0.186473i	0.230140	+	0.973158i	$0.426082\pi$
$432$	−5.32589	−	6.67845i	−0.256242	−	0.321317i
$433$	−19.2496	−	9.27013i	−0.925078	−	0.445494i	−0.0901967	−	0.995924i	$-0.528750\pi$
$433$	−19.2496	−	9.27013i	−0.925078	−	0.445494i	−0.834881	+	0.550430i	$0.814464\pi$
$434$	1.65128	+	2.30048i	0.0792638	+	0.110427i
$435$	−32.3275	+	15.5681i	−1.54998	+	0.746433i
$436$	1.09559	+	0.527606i	0.0524690	+	0.0252678i
$437$	−0.606033	−	2.65521i	−0.0289905	−	0.127016i
$438$	8.92028	+	4.29578i	0.426228	+	0.205260i
$439$	13.8225	−	17.3329i	0.659713	−	0.827253i	−0.333599	−	0.942715i	$-0.608263\pi$
$439$	13.8225	−	17.3329i	0.659713	−	0.827253i	0.993312	+	0.115461i	$0.0368347\pi$
$440$	12.6888			0.604917
$441$	−1.21791	−	9.84032i	−0.0579959	−	0.468587i
$442$	1.46356			0.0696143
$443$	−23.7951	+	29.8381i	−1.13054	+	1.41765i	−0.235379	+	0.971904i	$0.575633\pi$
$443$	−23.7951	+	29.8381i	−1.13054	+	1.41765i	−0.895159	+	0.445747i	$0.852938\pi$
$444$	15.7564	+	7.58789i	0.747767	+	0.360105i
$445$	1.40433	+	6.15279i	0.0665719	+	0.291670i
$446$	1.75209	+	0.843760i	0.0829637	+	0.0399532i
$447$	−4.10451	+	1.97663i	−0.194137	+	0.0934912i
$448$	−6.40080	+	2.69242i	−0.302410	+	0.127205i
$449$	18.3772	+	8.84999i	0.867274	+	0.417657i	0.813960	−	0.580921i	$-0.197307\pi$
$449$	18.3772	+	8.84999i	0.867274	+	0.417657i	0.0533136	+	0.998578i	$0.483022\pi$
$450$	0.962117	+	1.20646i	0.0453546	+	0.0568729i
$451$	−16.9388	+	8.15731i	−0.797618	+	0.384113i
$452$	−9.51421	+	11.9304i	−0.447511	+	0.561161i
$453$	−10.0837	+	44.1795i	−0.473773	+	2.07573i
$454$	0.660728	−	0.828527i	0.0310095	−	0.0388847i
$455$	1.22594	+	6.98376i	0.0574728	+	0.327404i
$456$	1.60379	+	2.01109i	0.0751046	+	0.0941781i
$457$	23.0608	−	11.1055i	1.07874	−	0.519493i	0.191825	−	0.981429i	$-0.438559\pi$
$457$	23.0608	−	11.1055i	1.07874	−	0.519493i	0.886913	+	0.461936i	$0.152845\pi$
$458$	0.615122	−	2.69503i	0.0287428	−	0.125930i
$459$	−9.75640			−0.455390
$460$	19.5485			0.911453
$461$	−5.93933	+	26.0219i	−0.276622	+	1.21196i	0.625411	+	0.780295i	$0.284931\pi$
$461$	−5.93933	+	26.0219i	−0.276622	+	1.21196i	−0.902033	+	0.431666i	$0.857926\pi$
$462$	−6.16140	−	3.36141i	−0.286654	−	0.156387i
$463$	−6.08560	−	26.6627i	−0.282822	−	1.23912i	−0.894158	−	0.447752i	$-0.852225\pi$
$463$	−6.08560	−	26.6627i	−0.282822	−	1.23912i	0.611336	−	0.791371i	$-0.290632\pi$
$464$	−3.63887	−	15.9429i	−0.168930	−	0.740132i
$465$	−7.52883	−	9.44085i	−0.349141	−	0.437809i
$466$	0.246004	+	0.308480i	0.0113959	+	0.0142900i
$467$	−5.11484	−	22.4096i	−0.236686	−	1.03699i	−0.943962	−	0.330053i	$-0.892933\pi$
$467$	−5.11484	−	22.4096i	−0.236686	−	1.03699i	0.707276	−	0.706938i	$-0.249924\pi$
$468$	0.551846	+	2.41780i	0.0255091	+	0.111763i
$469$	7.01885	−	24.8737i	0.324101	−	1.14856i
$470$	0.553546	−	2.42524i	0.0255332	−	0.111868i
$471$	49.1964			2.26685
$472$	−15.9749			−0.735306
$473$	2.01635	−	8.83419i	0.0927117	−	0.406197i
$474$	4.23435	−	2.03916i	0.194490	−	0.0936616i
$475$	−0.889432	−	1.11531i	−0.0408099	−	0.0511741i
$476$	−3.68809	+	13.0700i	−0.169043	+	0.599064i
$477$	−4.33086	+	5.43073i	−0.198297	+	0.248656i
$478$	−2.13449	+	9.35179i	−0.0976291	+	0.427741i
$479$	16.3151	−	20.4585i	0.745458	−	0.934774i	−0.254016	−	0.967200i	$-0.581752\pi$
$479$	16.3151	−	20.4585i	0.745458	−	0.934774i	0.999474	+	0.0324255i	$0.0103232\pi$
$480$	−25.5048	+	12.2825i	−1.16413	+	0.560615i
$481$	2.96349	+	3.71610i	0.135124	+	0.169440i
$482$	5.39038	+	2.59587i	0.245525	+	0.118239i
$483$	−20.3357	−	11.0943i	−0.925306	−	0.504810i
$484$	−7.26547	+	3.49886i	−0.330248	+	0.159039i
$485$	−19.4243	−	9.35426i	−0.882013	−	0.424755i
$486$	1.51566	+	6.64052i	0.0687515	+	0.301220i
$487$	33.3077	+	16.0401i	1.50931	+	0.726848i	0.991677	−	0.128752i	$-0.0410972\pi$
$487$	33.3077	+	16.0401i	1.50931	+	0.726848i	0.517638	+	0.855600i	$0.326812\pi$
$488$	0.545008	−	0.683418i	0.0246713	−	0.0309369i
$489$	41.5126			1.87727
$490$	9.31705	+	0.946663i	0.420902	+	0.0427659i
$491$	14.0297			0.633150			0.316575	−	0.948567i	$-0.397467\pi$
$491$	14.0297			0.633150			0.316575	+	0.948567i	$0.397467\pi$
$492$	17.0564	−	21.3881i	0.768963	−	0.964249i
$493$	−16.8280	−	8.10394i	−0.757895	−	0.364983i
$494$	0.0726154	+	0.318149i	0.00326712	+	0.0143142i
$495$	8.64850	+	4.16490i	0.388721	+	0.187198i
$496$	4.95840	−	2.38784i	0.222639	−	0.107217i
$497$	−19.6814	−	0.997301i	−0.882832	−	0.0447351i
$498$	−1.48156	−	0.713481i	−0.0663903	−	0.0319719i
$499$	21.1096	+	26.4706i	0.944997	+	1.18499i	0.982607	+	0.185696i	$0.0594539\pi$
$499$	21.1096	+	26.4706i	0.944997	+	1.18499i	−0.0376107	+	0.999292i	$0.511975\pi$
$500$	−11.9118	+	5.73641i	−0.532711	+	0.256540i
$501$	−8.42621	+	10.5661i	−0.376456	+	0.472060i
$502$	0.779611	−	3.41570i	0.0347958	−	0.152450i
$503$	−9.90789	+	12.4241i	−0.441771	+	0.553963i	−0.952009	−	0.306070i	$-0.900986\pi$
$503$	−9.90789	+	12.4241i	−0.441771	+	0.553963i	0.510238	+	0.860033i	$0.329557\pi$
$504$	7.00822	+	0.355122i	0.312171	+	0.0158184i
$505$	8.50982	+	10.6710i	0.378682	+	0.474852i
$506$	−4.73834	+	2.28186i	−0.210645	+	0.101441i
$507$	−0.467637	+	2.04885i	−0.0207685	+	0.0909928i
$508$	20.8352			0.924413
$509$	27.1937			1.20534			0.602670	−	0.797991i	$-0.294104\pi$
$509$	27.1937			1.20534			0.602670	+	0.797991i	$0.294104\pi$
$510$	−1.83421	+	8.03620i	−0.0812202	+	0.355849i
$511$	−23.0156	+	9.68124i	−1.01815	+	0.428273i
$512$	−5.00987	−	21.9497i	−0.221407	−	0.970047i
$513$	−0.484071	−	2.12085i	−0.0213722	−	0.0936379i
$514$	8.41879	+	10.5568i	0.371337	+	0.465642i
$515$	18.9040	+	23.7048i	0.833009	+	1.04456i
$516$	2.93393	+	12.8544i	0.129159	+	0.565884i
$517$	−1.04624	−	4.58387i	−0.0460135	−	0.201599i
$518$	5.78665	−	2.43409i	0.254251	−	0.106948i
$519$	6.70161	−	29.3617i	0.294168	−	1.28883i
$520$	−5.01804			−0.220055
$521$	−32.2949			−1.41486			−0.707432	−	0.706782i	$-0.750146\pi$
$521$	−32.2949			−1.41486			−0.707432	+	0.706782i	$0.750146\pi$
$522$	−1.00244	+	4.39196i	−0.0438754	+	0.192231i
$523$	12.0134	−	5.78534i	0.525308	−	0.252975i	−0.152383	−	0.988321i	$-0.548695\pi$
$523$	12.0134	−	5.78534i	0.525308	−	0.252975i	0.677691	+	0.735346i	$0.262981\pi$
$524$	−23.0196	−	28.8657i	−1.00562	−	1.26100i
$525$	−12.1182	−	0.614054i	−0.528880	−	0.0267995i
$526$	−6.94415	+	8.70769i	−0.302779	+	0.379673i
$527$	1.39872	−	6.12817i	0.0609290	−	0.266947i
$528$	−8.50469	+	10.6645i	−0.370119	+	0.464114i
$529$	5.08339	−	2.44803i	0.221017	−	0.106436i
$530$	−4.09047	−	5.12928i	−0.177678	−	0.222802i
$531$	−10.8882	−	5.24350i	−0.472510	−	0.227549i
$532$	−3.02416	−	0.153241i	−0.131114	−	0.00664384i
$533$	6.69877	−	3.22596i	0.290156	−	0.139732i
$534$	2.22586	+	1.07192i	0.0963224	+	0.0463864i
$535$	−5.52792	−	24.2194i	−0.238993	−	1.04710i
$536$	16.4794	+	7.93606i	0.711802	+	0.342786i
$537$	−30.7404	+	38.5472i	−1.32655	+	1.66344i
$538$	−2.01800			−0.0870021
$539$	16.6423	−	6.02857i	0.716833	−	0.259669i
$540$	15.6144			0.671937
$541$	25.6577	−	32.1737i	1.10311	−	1.38326i	0.186987	−	0.982362i	$-0.440128\pi$
$541$	25.6577	−	32.1737i	1.10311	−	1.38326i	0.916124	−	0.400895i	$-0.131301\pi$
$542$	6.56245	+	3.16031i	0.281881	+	0.135747i
$543$	−5.00806	−	21.9418i	−0.214917	−	0.941611i
$544$	−13.2764	−	6.39360i	−0.569223	−	0.274123i
$545$	−1.67703	+	0.807617i	−0.0718363	+	0.0345945i
$546$	2.43664	+	1.32933i	0.104279	+	0.0568902i
$547$	3.17277	+	1.52793i	0.135658	+	0.0653295i	0.500481	−	0.865747i	$-0.333156\pi$
$547$	3.17277	+	1.52793i	0.135658	+	0.0653295i	−0.364823	+	0.931077i	$0.618871\pi$
$548$	−6.31433	−	7.91792i	−0.269735	−	0.338237i
$549$	0.595789	−	0.286917i	0.0254276	−	0.0122453i
$550$	−1.71753	+	2.15371i	−0.0732356	+	0.0918346i
$551$	0.926705	−	4.06016i	0.0394790	−	0.172969i
$552$	10.2216	−	12.8175i	0.435061	−	0.545549i
$553$	−3.21882	+	11.4070i	−0.136878	+	0.485075i
$554$	−6.66087	−	8.35247i	−0.282993	−	0.354863i
$555$	−24.1187	+	11.6149i	−1.02378	+	0.493027i
$556$	5.59519	−	24.5141i	0.237289	−	1.03963i
$557$	43.6759			1.85061			0.925304	−	0.379227i	$-0.123810\pi$
$557$	43.6759			1.85061			0.925304	+	0.379227i	$0.123810\pi$
$558$	−1.51608			−0.0641807
$559$	−0.797402	+	3.49364i	−0.0337265	+	0.147765i
$560$	4.94277	−	17.5164i	0.208870	−	0.740204i
$561$	3.46678	+	15.1890i	0.146368	+	0.641279i
$562$	−0.659917	−	2.89128i	−0.0278369	−	0.121961i
$563$	7.13826	+	8.95109i	0.300842	+	0.377244i	0.909158	−	0.416451i	$-0.136726\pi$
$563$	7.13826	+	8.95109i	0.300842	+	0.377244i	−0.608316	+	0.793695i	$0.708155\pi$
$564$	4.26555	+	5.34882i	0.179612	+	0.225226i
$565$	−5.19769	−	22.7726i	−0.218668	−	0.958049i
$566$	−0.499317	−	2.18765i	−0.0209879	−	0.0919539i
$567$	−26.1129	−	14.2462i	−1.09664	−	0.598283i
$568$	3.10340	−	13.5969i	0.130216	−	0.570513i
$569$	−24.0916			−1.00997			−0.504987	−	0.863127i	$-0.668503\pi$
$569$	−24.0916			−1.00997			−0.504987	+	0.863127i	$0.668503\pi$
$570$	−1.83792			−0.0769820
$571$	5.58472	−	24.4682i	0.233713	−	1.02396i	−0.712817	−	0.701350i	$-0.752581\pi$
$571$	5.58472	−	24.4682i	0.233713	−	1.02396i	0.946531	−	0.322614i	$-0.104562\pi$
$572$	−3.98871	+	1.92086i	−0.166776	+	0.0803153i
$573$	15.9615	+	20.0150i	0.666800	+	0.836140i
$574$	−1.69786	−	9.67218i	−0.0708675	−	0.403709i
$575$	−5.66870	+	7.10832i	−0.236401	+	0.296438i
$576$	0.827266	−	3.62449i	0.0344694	−	0.151020i
$577$	16.3843	−	20.5452i	0.682087	−	0.855310i	−0.313458	−	0.949602i	$-0.601487\pi$
$577$	16.3843	−	20.5452i	0.682087	−	0.855310i	0.995545	+	0.0942924i	$0.0300589\pi$
$578$	3.78020	−	1.82045i	0.157236	−	0.0757207i
$579$	−25.0648	−	31.4302i	−1.04166	−	1.30620i
$580$	26.9320	+	12.9698i	1.11829	+	0.538540i
$581$	3.82264	−	1.60795i	0.158590	−	0.0667088i
$582$	−7.60386	+	3.66183i	−0.315190	+	0.151788i
$583$	−11.1720	−	5.38015i	−0.462696	−	0.222823i
$584$	−3.93210	−	17.2277i	−0.162711	−	0.712885i
$585$	−3.42021	−	1.64709i	−0.141408	−	0.0680986i
$586$	−3.82683	+	4.79869i	−0.158085	+	0.198232i
$587$	−37.9451			−1.56616			−0.783081	−	0.621920i	$-0.786353\pi$
$587$	−37.9451			−1.56616			−0.783081	+	0.621920i	$0.786353\pi$
$588$	−18.0116	+	18.4101i	−0.742785	+	0.759220i
$589$	1.40154			0.0577496
$590$	7.11666	−	8.92400i	0.292988	−	0.367395i
$591$	−36.6468	−	17.6482i	−1.50745	−	0.725949i
$592$	−2.71486	−	11.8946i	−0.111580	−	0.488865i
$593$	30.6224	+	14.7470i	1.25751	+	0.605585i	0.939515	−	0.342507i	$-0.111276\pi$
$593$	30.6224	+	14.7470i	1.25751	+	0.605585i	0.317996	+	0.948092i	$0.396990\pi$
$594$	−3.78476	+	1.82264i	−0.155291	+	0.0747840i
$595$	−12.1219	−	16.8877i	−0.496949	−	0.692327i
$596$	3.41946	+	1.64672i	0.140067	+	0.0674525i
$597$	−12.2154	−	15.3176i	−0.499942	−	0.626907i
$598$	1.87386	−	0.902406i	0.0766280	−	0.0369021i
$599$	−13.3450	+	16.7341i	−0.545260	+	0.683735i	−0.975757	−	0.218857i	$-0.929767\pi$
$599$	−13.3450	+	16.7341i	−0.545260	+	0.683735i	0.430496	+	0.902592i	$0.358338\pi$
$600$	1.91081	−	8.37183i	0.0780087	−	0.341778i
$601$	−5.70396	+	7.15254i	−0.232669	+	0.291758i	−0.884436	−	0.466661i	$-0.845457\pi$
$601$	−5.70396	+	7.15254i	−0.232669	+	0.291758i	0.651767	+	0.758419i	$0.274028\pi$
$602$	4.15489	+	2.26674i	0.169341	+	0.0923854i
$603$	8.62721	+	10.8182i	0.351327	+	0.440550i
$604$	34.0138	−	16.3802i	1.38400	−	0.666499i
$605$	2.74676	−	12.0343i	0.111672	−	0.489265i
$606$	5.34293			0.217041
$607$	25.7424			1.04485			0.522426	−	0.852685i	$-0.325027\pi$
$607$	25.7424			1.04485			0.522426	+	0.852685i	$0.325027\pi$
$608$	0.731124	−	3.20326i	0.0296510	−	0.129910i
$609$	−20.6558	−	28.7767i	−0.837015	−	1.16609i
$610$	0.138980	+	0.608910i	0.00562713	+	0.0246541i
$611$	0.413755	+	1.81278i	0.0167387	+	0.0733371i
$612$	−4.53321	−	5.68446i	−0.183244	−	0.229781i
$613$	15.5351	+	19.4804i	0.627458	+	0.786808i	0.989372	−	0.145404i	$-0.0464480\pi$
$613$	15.5351	+	19.4804i	0.627458	+	0.786808i	−0.361914	+	0.932211i	$0.617877\pi$
$614$	−0.947610	−	4.15175i	−0.0382424	−	0.167551i
$615$	9.31805	+	40.8250i	0.375740	+	1.64622i
$616$	2.16585	+	12.3382i	0.0872647	+	0.497118i
$617$	1.84220	−	8.07120i	0.0741641	−	0.324934i	−0.924213	−	0.381877i	$-0.875278\pi$
$617$	1.84220	−	8.07120i	0.0741641	−	0.324934i	0.998377	+	0.0569423i	$0.0181351\pi$
$618$	11.8689			0.477439
$619$	−23.8927			−0.960329			−0.480165	−	0.877178i	$-0.659423\pi$
$619$	−23.8927			−0.960329			−0.480165	+	0.877178i	$0.659423\pi$
$620$	−2.23854	+	9.80769i	−0.0899020	+	0.393886i
$621$	−12.4916	+	6.01564i	−0.501271	+	0.241399i
$622$	−4.83723	−	6.06569i	−0.193955	−	0.243212i
$623$	−5.74304	+	2.41574i	−0.230090	+	0.0967846i
$624$	3.36334	−	4.21749i	0.134641	−	0.168835i
$625$	6.93131	−	30.3681i	0.277253	−	1.21472i
$626$	9.62460	−	12.0689i	0.384676	−	0.482369i
$627$	−3.12978	+	1.50722i	−0.124991	+	0.0601927i
$628$	−25.5540	−	32.0437i	−1.01972	−	1.27868i
$629$	−12.5549	−	6.04613i	−0.500597	−	0.241075i
$630$	−3.32046	+	3.75677i	−0.132290	+	0.149673i
$631$	17.1408	−	8.25456i	0.682363	−	0.328609i	−0.0603892	−	0.998175i	$-0.519234\pi$
$631$	17.1408	−	8.25456i	0.682363	−	0.328609i	0.742753	+	0.669566i	$0.233520\pi$
$632$	−7.55739	−	3.63945i	−0.300617	−	0.144769i
$633$	−9.78686	−	42.8790i	−0.388993	−	1.70429i
$634$	−3.90458	−	1.88035i	−0.155071	−	0.0746781i
$635$	−19.8849	+	24.9349i	−0.789107	+	0.989509i
$636$	18.0429			0.715447
$637$	−6.58149	+	2.38411i	−0.260768	+	0.0944618i
$638$	−8.04196			−0.318384
$639$	6.57818	−	8.24877i	0.260229	−	0.326316i
$640$	27.4360	+	13.2125i	1.08450	+	0.522270i
$641$	−4.08840	−	17.9125i	−0.161482	−	0.707500i	−0.989226	−	0.146394i	$-0.953233\pi$
$641$	−4.08840	−	17.9125i	−0.161482	−	0.707500i	0.827744	−	0.561106i	$-0.189624\pi$
$642$	−8.76172	−	4.21942i	−0.345797	−	0.166527i
$643$	−43.7315	+	21.0600i	−1.72460	+	0.830525i	−0.736556	+	0.676376i	$0.763549\pi$
$643$	−43.7315	+	21.0600i	−1.72460	+	0.830525i	−0.988048	+	0.154149i	$0.950736\pi$
$644$	3.33672	+	19.0082i	0.131485	+	0.749029i
$645$	−18.1838	−	8.75686i	−0.715987	−	0.344801i
$646$	−0.596508	−	0.747998i	−0.0234693	−	0.0294296i
$647$	39.4942	−	19.0194i	1.55268	−	0.747731i	0.556158	−	0.831076i	$-0.312275\pi$
$647$	39.4942	−	19.0194i	1.55268	−	0.747731i	0.996521	+	0.0833455i	$0.0265605\pi$
$648$	13.1255	−	16.4589i	0.515618	−	0.646565i
$649$	4.80059	−	21.0328i	0.188440	−	0.825608i
$650$	0.679228	−	0.851725i	0.0266415	−	0.0334074i
$651$	7.89484	−	8.93221i	0.309423	−	0.350081i
$652$	−21.5628	−	27.0389i	−0.844466	−	1.05893i
$653$	−37.5523	+	18.0842i	−1.46953	+	0.707690i	−0.985862	−	0.167559i	$-0.946412\pi$
$653$	−37.5523	+	18.0842i	−1.46953	+	0.707690i	−0.483672	+	0.875249i	$0.660697\pi$
$654$	−0.162140	+	0.710384i	−0.00634019	+	0.0277782i
$655$	56.5150			2.20822
$656$	−19.0848			−0.745136
$657$	2.97463	−	13.0327i	0.116051	−	0.508455i
$658$	2.45270	+	0.124284i	0.0956162	+	0.00484509i
$659$	−1.89182	−	8.28858i	−0.0736947	−	0.322877i	0.924621	−	0.380888i	$-0.124382\pi$
$659$	−1.89182	−	8.28858i	−0.0736947	−	0.322877i	−0.998316	+	0.0580102i	$0.981524\pi$
$660$	−5.54833	−	24.3088i	−0.215969	−	0.946220i
$661$	−16.9210	−	21.2183i	−0.658151	−	0.825295i	0.334990	−	0.942222i	$-0.391267\pi$
$661$	−16.9210	−	21.2183i	−0.658151	−	0.825295i	−0.993141	+	0.116927i	$0.962696\pi$
$662$	−0.309678	−	0.388323i	−0.0120360	−	0.0150926i
$663$	−1.37100	−	6.00676i	−0.0532454	−	0.233283i
$664$	0.653078	+	2.86132i	0.0253443	+	0.111041i
$665$	3.06961	−	3.47295i	0.119035	−	0.134675i
$666$	−0.747891	+	3.27672i	−0.0289802	+	0.126970i
$667$	−26.5425			−1.02773
$668$	11.2590			0.435623
$669$	1.82169	−	7.98135i	0.0704307	−	0.308577i
$670$	−11.7747	+	5.67039i	−0.454895	+	0.219066i
$671$	0.736016	+	0.922935i	0.0284136	+	0.0356295i
$672$	−16.2964	−	22.7034i	−0.628647	−	0.875803i
$673$	9.66701	−	12.1220i	0.372636	−	0.467271i	−0.559789	−	0.828635i	$-0.689118\pi$
$673$	9.66701	−	12.1220i	0.372636	−	0.467271i	0.932425	+	0.361365i	$0.117689\pi$
$674$	−2.23621	+	9.79750i	−0.0861358	+	0.377385i
$675$	−4.52789	+	5.67779i	−0.174278	+	0.218538i
$676$	1.57741	−	0.759641i	0.0606696	−	0.0292169i
$677$	−3.63218	−	4.55461i	−0.139596	−	0.175048i	0.707119	−	0.707095i	$-0.249994\pi$
$677$	−3.63218	−	4.55461i	−0.139596	−	0.175048i	−0.846715	+	0.532047i	$0.821423\pi$
$678$	−8.23829	−	3.96735i	−0.316390	−	0.152365i
$679$	5.78021	−	20.4842i	0.221824	−	0.786110i
$680$	13.2548	−	6.38317i	0.508298	−	0.244783i
$681$	−4.01940	−	1.93564i	−0.154024	−	0.0741739i
$682$	−0.602238	−	2.63858i	−0.0230609	−	0.101036i
$683$	−3.67508	−	1.76983i	−0.140623	−	0.0677205i	0.362249	−	0.932081i	$-0.382009\pi$
$683$	−3.67508	−	1.76983i	−0.140623	−	0.0677205i	−0.502872	+	0.864361i	$0.667723\pi$
$684$	1.01077	−	1.26747i	0.0386479	−	0.0484629i
$685$	15.5022			0.592309
$686$	0.669823	+	9.22114i	0.0255740	+	0.352065i
$687$	−11.6372			−0.443987
$688$	5.73506	−	7.19154i	0.218647	−	0.274175i
$689$	4.41817	+	2.12768i	0.168319	+	0.0810581i
$690$	2.60656	+	11.4201i	0.0992301	+	0.434756i
$691$	−40.1223	−	19.3219i	−1.52632	−	0.735039i	−0.532544	−	0.846402i	$-0.678764\pi$
$691$	−40.1223	−	19.3219i	−1.52632	−	0.735039i	−0.993780	+	0.111363i	$0.964478\pi$
$692$	−22.6055	+	10.8862i	−0.859333	+	0.413833i
$693$	−2.57358	+	9.12038i	−0.0977623	+	0.346455i
$694$	−8.93330	−	4.30205i	−0.339103	−	0.163304i
$695$	23.9977	+	30.0921i	0.910284	+	1.14146i
$696$	22.5863	−	10.8770i	0.856131	−	0.412291i
$697$	−13.5908	+	17.0423i	−0.514787	+	0.645522i
$698$	−3.14722	+	13.7889i	−0.119124	+	0.521917i
$699$	1.03562	−	1.29863i	0.0391708	−	0.0491186i
$700$	5.89455	+	8.21203i	0.222793	+	0.310386i
$701$	−25.0826	−	31.4526i	−0.947358	−	1.18795i	−0.982063	−	0.188552i	$-0.939621\pi$
$701$	−25.0826	−	31.4526i	−0.947358	−	1.18795i	0.0347055	−	0.999398i	$-0.488951\pi$
$702$	1.49675	−	0.720799i	0.0564913	−	0.0272048i
$703$	0.691390	−	3.02918i	0.0260763	−	0.114248i
$704$	6.63667			0.250129
$705$	−10.4723			−0.394409
$706$	−3.00731	+	13.1759i	−0.113182	+	0.495881i
$707$	−8.92352	+	10.0960i	−0.335603	+	0.379701i
$708$	6.98522	+	30.6042i	0.262521	+	1.15018i
$709$	−2.80463	−	12.2879i	−0.105330	−	0.461480i	−0.999894	−	0.0145413i	$-0.995371\pi$
$709$	−2.80463	−	12.2879i	−0.105330	−	0.461480i	0.894564	−	0.446939i	$-0.147486\pi$
$710$	6.21304	+	7.79090i	0.233171	+	0.292387i
$711$	−3.95640	−	4.96117i	−0.148377	−	0.186058i
$712$	−0.981168	−	4.29878i	−0.0367708	−	0.161104i
$713$	−1.98769	−	8.70863i	−0.0744395	−	0.326141i
$714$	−8.12719	−	0.411823i	−0.304152	−	0.0154121i
$715$	1.50796	−	6.60680i	0.0563945	−	0.247080i
$716$	41.0749			1.53504
$717$	40.3813			1.50807
$718$	1.50379	−	6.58854i	0.0561210	−	0.245882i
$719$	−4.48845	+	2.16153i	−0.167391	+	0.0806113i	−0.515703	−	0.856767i	$-0.672469\pi$
$719$	−4.48845	+	2.16153i	−0.167391	+	0.0806113i	0.348312	+	0.937379i	$0.386755\pi$
$720$	6.07539	+	7.61830i	0.226417	+	0.283917i
$721$	−19.8230	+	22.4277i	−0.738247	+	0.835251i
$722$	−5.78075	+	7.24883i	−0.215137	+	0.269774i
$723$	5.60453	−	24.5550i	0.208435	−	0.913211i
$724$	−11.6903	+	14.6591i	−0.434465	+	0.544802i
$725$	−12.5259	+	6.03216i	−0.465200	+	0.224029i
$726$	−3.01278	−	3.77790i	−0.111815	−	0.140211i
$727$	28.3547	+	13.6549i	1.05162	+	0.506433i	0.878140	−	0.478405i	$-0.158785\pi$
$727$	28.3547	+	13.6549i	1.05162	+	0.506433i	0.173479	+	0.984838i	$0.444499\pi$
$728$	−0.856526	−	4.87935i	−0.0317450	−	0.180841i
$729$	−4.55450	+	2.19333i	−0.168685	+	0.0812345i
$730$	11.3755	+	5.47816i	0.421026	+	0.202756i
$731$	−2.33779	−	10.2425i	−0.0864665	−	0.378834i
$732$	−1.54758	−	0.745275i	−0.0572002	−	0.0275462i
$733$	5.64652	−	7.08051i	0.208559	−	0.261525i	−0.666539	−	0.745470i	$-0.732225\pi$
$733$	5.64652	−	7.08051i	0.208559	−	0.261525i	0.875098	+	0.483945i	$0.160797\pi$
$734$	11.3871			0.420304
$735$	−4.84254	−	39.1260i	−0.178620	−	1.44319i
$736$	−20.9407			−0.771884
$737$	−15.4009	+	19.3121i	−0.567299	+	0.711371i
$738$	4.73683	+	2.28114i	0.174365	+	0.0839698i
$739$	0.859487	+	3.76566i	0.0316168	+	0.138522i	0.988273	−	0.152698i	$-0.0487961\pi$
$739$	0.859487	+	3.76566i	0.0316168	+	0.138522i	−0.956656	+	0.291220i	$0.905939\pi$
$740$	20.0932	+	9.67639i	0.738642	+	0.355711i
$741$	1.23773	−	0.596059i	0.0454691	−	0.0218968i
$742$	4.28932	−	4.85293i	0.157466	−	0.178157i
$743$	15.0146	+	7.23066i	0.550833	+	0.265267i	0.688531	−	0.725207i	$-0.258256\pi$
$743$	15.0146	+	7.23066i	0.550833	+	0.265267i	−0.137698	+	0.990474i	$0.543970\pi$
$744$	5.26018	+	6.59605i	0.192847	+	0.241823i
$745$	−5.23423	+	2.52067i	−0.191768	+	0.0923504i
$746$	−4.44899	+	5.57886i	−0.162889	+	0.204257i
$747$	−0.494053	+	2.16459i	−0.0180765	+	0.0791982i
$748$	8.09248	−	10.1476i	0.295890	−	0.371035i
$749$	22.6065	−	9.50914i	0.826023	−	0.347457i
$750$	−4.93946	−	6.19389i	−0.180364	−	0.226169i
$751$	−38.4153	+	18.4998i	−1.40179	+	0.675068i	−0.973525	−	0.228582i	$-0.926591\pi$
$751$	−38.4153	+	18.4998i	−1.40179	+	0.675068i	−0.428270	+	0.903651i	$0.640877\pi$
$752$	1.06205	−	4.65315i	0.0387290	−	0.169683i
$753$	−14.7491			−0.537487
$754$	3.18034			0.115821
$755$	−12.8591	+	56.3395i	−0.467991	+	2.05040i
$756$	2.66522	+	15.1829i	0.0969329	+	0.552196i
$757$	9.20293	+	40.3207i	0.334486	+	1.46548i	0.810342	+	0.585957i	$0.199281\pi$
$757$	9.20293	+	40.3207i	0.334486	+	1.46548i	−0.475856	+	0.879523i	$0.657862\pi$
$758$	3.49098	+	15.2950i	0.126798	+	0.555538i
$759$	13.8040	+	17.3096i	0.501052	+	0.628300i
$760$	2.04522	+	2.56463i	0.0741880	+	0.0930289i
$761$	6.57783	+	28.8194i	0.238446	+	1.04470i	0.942409	+	0.334464i	$0.108555\pi$
$761$	6.57783	+	28.8194i	0.238446	+	1.04470i	−0.703962	+	0.710237i	$0.748588\pi$
$762$	2.77813	+	12.1718i	0.100641	+	0.440937i
$763$	−1.07155	−	1.49283i	−0.0387927	−	0.0540442i
$764$	4.74581	−	20.7928i	0.171697	−	0.752256i
$765$	11.1294			0.402385
$766$	−18.4280			−0.665832
$767$	−1.89848	+	8.31780i	−0.0685502	+	0.300338i
$768$	0.801186	−	0.385831i	0.0289103	−	0.0139225i
$769$	22.0048	+	27.5931i	0.793512	+	0.995032i	0.999863	+	0.0165542i	$0.00526961\pi$
$769$	22.0048	+	27.5931i	0.793512	+	0.995032i	−0.206351	+	0.978478i	$0.566159\pi$
$770$	−7.85727	−	4.28661i	−0.283156	−	0.154479i
$771$	35.4412	−	44.4418i	1.27638	−	1.60053i
$772$	−7.45250	+	32.6515i	−0.268221	+	1.17515i
$773$	2.98428	−	3.74217i	0.107337	−	0.134596i	−0.725261	−	0.688474i	$-0.758281\pi$
$773$	2.98428	−	3.74217i	0.107337	−	0.134596i	0.832598	+	0.553877i	$0.186852\pi$
$774$	−2.28301	+	1.09944i	−0.0820613	+	0.0395186i
$775$	−2.91719	−	3.65804i	−0.104789	−	0.131401i
$776$	13.5712	+	6.53556i	0.487178	+	0.234613i
$777$	−15.4107	−	21.4695i	−0.552857	−	0.770216i
$778$	−7.00891	+	3.37531i	−0.251281	+	0.121011i
$779$	−4.37898	−	2.10880i	−0.156893	−	0.0755557i
$780$	2.19419	+	9.61338i	0.0785647	+	0.344214i
$781$	16.9692	+	8.17194i	0.607206	+	0.292415i
$782$	−3.80178	+	4.76728i	−0.135951	+	0.170478i
$783$	−21.2009			−0.757657
$784$	17.8760	+	1.81630i	0.638428	+	0.0648678i
$785$	62.7372			2.23919
$786$	13.7937	−	17.2968i	0.492006	−	0.616956i
$787$	45.9076	+	22.1079i	1.63643	+	0.788063i	0.999858	+	0.0168449i	$0.00536216\pi$
$787$	45.9076	+	22.1079i	1.63643	+	0.788063i	0.636571	+	0.771218i	$0.280352\pi$
$788$	7.54038	+	33.0366i	0.268615	+	1.17688i
$789$	42.2433	+	20.3433i	1.50390	+	0.724241i
$790$	5.39982	−	2.60042i	0.192117	−	0.0925187i
$791$	21.2560	−	8.94107i	0.755776	−	0.317908i
$792$	−6.04246	−	2.90989i	−0.214709	−	0.103399i
$793$	−0.291071	−	0.364992i	−0.0103362	−	0.0129612i
$794$	9.78490	−	4.71216i	0.347253	−	0.167228i
$795$	−17.2199	+	21.5931i	−0.610727	+	0.765828i
$796$	−3.63199	+	15.9128i	−0.128732	+	0.564013i
$797$	24.5534	−	30.7891i	0.869728	−	1.09060i	−0.125409	−	0.992105i	$-0.540024\pi$
$797$	24.5534	−	30.7891i	0.869728	−	1.09060i	0.995137	−	0.0984991i	$-0.0314042\pi$
$798$	−0.313714	−	1.78713i	−0.0111053	−	0.0632635i
$799$	−3.39884	−	4.26201i	−0.120242	−	0.150779i
$800$	−9.88231	+	4.75907i	−0.349392	+	0.168259i
$801$	0.742254	−	3.25203i	0.0262263	−	0.114905i
$802$	15.4029			0.543896
$803$	23.8637			0.842133
$804$	7.99784	−	35.0408i	0.282062	−	1.23579i
$805$	−25.9329	−	14.1480i	−0.914015	−	0.498650i
$806$	0.238166	+	1.04347i	0.00838905	+	0.0367548i
$807$	1.89038	+	8.28232i	0.0665447	+	0.291551i
$808$	−5.94556	−	7.45550i	−0.209164	−	0.262284i
$809$	6.50842	+	8.16130i	0.228824	+	0.286936i	0.882967	−	0.469434i	$-0.155542\pi$
$809$	6.50842	+	8.16130i	0.228824	+	0.286936i	−0.654144	+	0.756370i	$0.726971\pi$
$810$	3.34707	+	14.6645i	0.117604	+	0.515257i
$811$	6.46495	+	28.3248i	0.227015	+	0.994618i	0.952059	+	0.305915i	$0.0989623\pi$
$811$	6.46495	+	28.3248i	0.227015	+	0.994618i	−0.725044	+	0.688703i	$0.758181\pi$
$812$	−8.01430	+	28.4015i	−0.281247	+	0.996696i
$813$	6.82315	−	29.8942i	0.239298	−	1.04843i
$814$	−5.99989			−0.210296
$815$	52.9386			1.85436
$816$	−3.51918	+	15.4185i	−0.123196	+	0.539756i
$817$	2.11054	−	1.01638i	0.0738384	−	0.0355587i
$818$	4.03591	+	5.06086i	0.141112	+	0.176949i
$819$	1.01777	−	3.60682i	0.0355638	−	0.126033i
$820$	21.7510	−	27.2749i	0.759579	−	0.952482i
$821$	−3.73402	+	16.3598i	−0.130318	+	0.570961i	0.867035	+	0.498248i	$0.166023\pi$
$821$	−3.73402	+	16.3598i	−0.130318	+	0.570961i	−0.997353	+	0.0727135i	$0.976834\pi$
$822$	3.78365	−	4.74455i	0.131970	−	0.165485i
$823$	26.6424	−	12.8303i	0.928696	−	0.447236i	0.0925280	−	0.995710i	$-0.470505\pi$
$823$	26.6424	−	12.8303i	0.928696	−	0.447236i	0.836168	+	0.548474i	$0.184791\pi$
$824$	−13.2077	−	16.5619i	−0.460111	−	0.576961i
$825$	10.4482	+	5.03160i	0.363760	+	0.175178i
$826$	9.89211	+	5.39674i	0.344190	+	0.187776i
$827$	−13.3453	+	6.42674i	−0.464060	+	0.223480i	−0.651279	−	0.758839i	$-0.725767\pi$
$827$	−13.3453	+	6.42674i	−0.464060	+	0.223480i	0.187218	+	0.982318i	$0.440053\pi$
$828$	−9.30904	−	4.48300i	−0.323512	−	0.155795i
$829$	7.83623	+	34.3328i	0.272163	+	1.19243i	0.907454	+	0.420153i	$0.138023\pi$
$829$	7.83623	+	34.3328i	0.272163	+	1.19243i	−0.635290	+	0.772274i	$0.719119\pi$
$830$	−1.88934	−	0.909860i	−0.0655801	−	0.0315817i
$831$	−28.0407	+	35.1620i	−0.972722	+	1.21976i
$832$	−2.62459			−0.0909914
$833$	14.3519	−	14.6694i	0.497262	−	0.508265i
$834$	15.0670			0.521729
$835$	−10.7454	+	13.4744i	−0.371862	+	0.466300i
$836$	2.60741	+	1.25566i	0.0901793	+	0.0434281i
$837$	−1.58767	−	6.95604i	−0.0548779	−	0.240436i
$838$	−14.0155	−	6.74952i	−0.484158	−	0.233158i
$839$	−21.9563	+	10.5736i	−0.758017	+	0.365042i	−0.772634	−	0.634851i	$-0.781061\pi$
$839$	−21.9563	+	10.5736i	−0.758017	+	0.365042i	0.0146171	+	0.999893i	$0.495347\pi$
$840$	27.8653	+	1.41200i	0.961446	+	0.0487186i
$841$	−10.4395	−	5.02740i	−0.359983	−	0.173359i
$842$	−3.86272	−	4.84369i	−0.133118	−	0.166925i
$843$	−11.2483	+	5.41689i	−0.387411	+	0.186567i
$844$	−22.8454	+	28.6472i	−0.786370	+	0.986076i
$845$	−0.596350	+	2.61278i	−0.0205151	+	0.0898824i
$846$	−0.819774	+	1.02796i	−0.0281844	+	0.0353421i
$847$	12.1706	+	0.616711i	0.418186	+	0.0211904i
$848$	−7.84810	−	9.84120i	−0.269505	−	0.337948i
$849$	−8.51086	+	4.09862i	−0.292092	+	0.140664i
$850$	−0.710700	+	3.11378i	−0.0243768	+	0.106802i
$851$	−19.8026			−0.678825
$852$	−27.4055			−0.938896
$853$	8.06032	−	35.3146i	0.275980	−	1.20915i	−0.626846	−	0.779143i	$-0.715655\pi$
$853$	8.06032	−	35.3146i	0.275980	−	1.20915i	0.902826	−	0.430005i	$-0.141488\pi$
$854$	−0.568359	+	0.239073i	−0.0194489	+	0.00818092i
$855$	0.552193	+	2.41932i	0.0188846	+	0.0827389i
$856$	3.86220	+	16.9214i	0.132007	+	0.578362i
$857$	20.6972	+	25.9535i	0.707004	+	0.886555i	0.997525	−	0.0703133i	$-0.0223999\pi$
$857$	20.6972	+	25.9535i	0.707004	+	0.886555i	−0.290521	+	0.956869i	$0.593828\pi$
$858$	−1.65400	−	2.07405i	−0.0564667	−	0.0708070i
$859$	−4.90996	−	21.5119i	−0.167526	−	0.733978i	−0.986981	−	0.160835i	$-0.948581\pi$
$859$	−4.90996	−	21.5119i	−0.167526	−	0.733978i	0.819456	−	0.573143i	$-0.194276\pi$
$860$	3.74147	+	16.3925i	0.127583	+	0.558978i
$861$	−38.1063	+	16.0289i	−1.29866	+	0.546264i
$862$	−0.991134	+	4.34244i	−0.0337581	+	0.147904i
$863$	14.7748			0.502941			0.251470	−	0.967865i	$-0.419086\pi$
$863$	14.7748			0.502941			0.251470	+	0.967865i	$0.419086\pi$
$864$	−16.7264			−0.569044
$865$	8.54616	−	37.4432i	0.290578	−	1.27311i
$866$	−9.60954	+	4.62771i	−0.326546	+	0.157256i
$867$	−11.0127	−	13.8094i	−0.374010	−	0.468993i
$868$	−9.91873	−	0.502605i	−0.336664	−	0.0170595i
$869$	7.06279	−	8.85646i	0.239589	−	0.300435i
$870$	−3.98578	+	17.4628i	−0.135131	+	0.592046i
$871$	6.09057	−	7.63733i	0.206371	−	0.258781i
$872$	1.17170	−	0.564259i	0.0396786	−	0.0191082i
$873$	7.10473	+	8.90905i	0.240459	+	0.301526i
$874$	−1.22494	−	0.589901i	−0.0414343	−	0.0199537i
$875$	19.9537	+	1.01110i	0.674559	+	0.0341814i
$876$	−31.2848	+	15.0660i	−1.05701	+	0.509032i
$877$	7.36453	+	3.54657i	0.248683	+	0.119759i	0.554073	−	0.832468i	$-0.313073\pi$
$877$	7.36453	+	3.54657i	0.248683	+	0.119759i	−0.305391	+	0.952227i	$0.598787\pi$
$878$	−2.46269	−	10.7897i	−0.0831116	−	0.364136i
$879$	23.2797	+	11.2109i	0.785205	+	0.378135i
$880$	−10.8455	+	13.5998i	−0.365602	+	0.458451i
$881$	−13.7666			−0.463808			−0.231904	−	0.972739i	$-0.574496\pi$
$881$	−13.7666			−0.463808			−0.231904	+	0.972739i	$0.574496\pi$
$882$	−4.21971	−	2.58746i	−0.142085	−	0.0871241i
$883$	9.20821			0.309881			0.154941	−	0.987924i	$-0.450481\pi$
$883$	9.20821			0.309881			0.154941	+	0.987924i	$0.450481\pi$
$884$	−3.20032	+	4.01307i	−0.107638	+	0.134974i
$885$	−43.2927	−	20.8487i	−1.45527	−	0.700820i
$886$	4.23944	+	18.5742i	0.142427	+	0.624013i
$887$	−1.85015	−	0.890987i	−0.0621221	−	0.0299164i	0.402565	−	0.915391i	$-0.368119\pi$
$887$	−1.85015	−	0.890987i	−0.0621221	−	0.0299164i	−0.464687	+	0.885475i	$0.653833\pi$
$888$	16.8510	−	8.11502i	0.565483	−	0.272322i
$889$	−27.6399	−	15.0792i	−0.927011	−	0.505740i
$890$	2.83851	+	1.36695i	0.0951470	+	0.0458204i
$891$	17.7256	+	22.2272i	0.593830	+	0.744639i
$892$	−6.14483	+	2.95920i	−0.205744	+	0.0990812i
$893$	0.757842	−	0.950304i	0.0253602	−	0.0318007i
$894$	−0.506061	+	2.21720i	−0.0169252	+	0.0741541i
$895$	−39.2014	+	49.1570i	−1.31036	+	1.64314i
$896$	−8.16429	+	28.9330i	−0.272750	+	0.966584i
$897$	−5.45903	−	6.84541i	−0.182272	−	0.228562i
$898$	9.17402	−	4.41797i	0.306141	−	0.147430i
$899$	3.03944	−	13.3167i	0.101371	−	0.444135i
$900$	−5.41194			−0.180398
$901$	−14.3768			−0.478960
$902$	−2.08845	+	9.15011i	−0.0695379	+	0.304665i
$903$	5.41106	−	19.1760i	0.180069	−	0.638136i
$904$	3.63147	+	15.9105i	0.120781	+	0.529176i
$905$	−6.38648	−	27.9810i	−0.212294	−	0.930120i
$906$	14.1045	+	17.6865i	0.468591	+	0.587595i
$907$	11.1482	+	13.9795i	0.370172	+	0.464180i	0.931674	−	0.363294i	$-0.118348\pi$
$907$	11.1482	+	13.9795i	0.370172	+	0.464180i	−0.561503	+	0.827475i	$0.689777\pi$
$908$	0.827025	+	3.62343i	0.0274458	+	0.120248i
$909$	−1.60525	−	7.03307i	−0.0532429	−	0.233272i
$910$	3.10730	+	1.69522i	0.103006	+	0.0561960i
$911$	−1.71630	+	7.51961i	−0.0568636	+	0.249136i	−0.995369	−	0.0961292i	$-0.969354\pi$
$911$	−1.71630	+	7.51961i	−0.0568636	+	0.249136i	0.938505	+	0.345265i	$0.112211\pi$
$912$	−3.52629			−0.116767
$913$	−3.96350			−0.131173
$914$	2.84325	−	12.4571i	0.0940464	−	0.412044i
$915$	2.36891	−	1.14081i	0.0783138	−	0.0377139i
$916$	6.04469	+	7.57980i	0.199722	+	0.250444i
$917$	9.64652	+	54.9531i	0.318556	+	1.81471i
$918$	−3.03668	+	3.80788i	−0.100225	+	0.125679i
$919$	−8.12234	+	35.5863i	−0.267931	+	1.17388i	0.644484	+	0.764618i	$0.277072\pi$
$919$	−8.12234	+	35.5863i	−0.267931	+	1.17388i	−0.912415	+	0.409266i	$0.865785\pi$
$920$	13.0350	−	16.3454i	0.429751	−	0.538891i
$921$	−16.1520	+	7.77840i	−0.532227	+	0.256307i
$922$	8.30762	+	10.4174i	0.273597	+	0.343080i
$923$	−6.71079	−	3.23175i	−0.220888	−	0.106374i
$924$	22.6900	−	9.54426i	0.746445	−	0.313983i
$925$	−9.34524	+	4.50043i	−0.307270	+	0.147973i
$926$	−12.3005	−	5.92360i	−0.404219	−	0.194662i
$927$	−3.56596	−	15.6235i	−0.117122	−	0.513143i
$928$	−28.8500	−	13.8934i	−0.947048	−	0.456074i
$929$	10.7526	−	13.4834i	0.352783	−	0.442376i	−0.573499	−	0.819206i	$-0.694415\pi$
$929$	10.7526	−	13.4834i	0.352783	−	0.442376i	0.926282	+	0.376830i	$0.122986\pi$
$930$	−6.02807			−0.197668
$931$	3.90092	+	2.39198i	0.127848	+	0.0783940i
$932$	−1.38378			−0.0453273
$933$	−20.3636	+	25.5352i	−0.666675	+	0.835984i
$934$	−10.3383	−	4.97868i	−0.338281	−	0.162908i
$935$	4.42098	+	19.3696i	0.144582	+	0.633453i
$936$	2.38960	+	1.15077i	0.0781066	+	0.0376141i
$937$	19.6141	−	9.44565i	0.640764	−	0.308576i	−0.0851427	−	0.996369i	$-0.527135\pi$
$937$	19.6141	−	9.44565i	0.640764	−	0.308576i	0.725907	+	0.687793i	$0.241420\pi$
$938$	−7.52348	−	10.4814i	−0.245650	−	0.342229i
$939$	−58.5492	−	28.1958i	−1.91068	−	0.920136i
$940$	5.43960	+	6.82104i	0.177420	+	0.222478i
$941$	19.9352	−	9.60027i	0.649868	−	0.312960i	−0.0797499	−	0.996815i	$-0.525412\pi$
$941$	19.9352	−	9.60027i	0.649868	−	0.312960i	0.729618	+	0.683855i	$0.239698\pi$
$942$	15.3124	−	19.2011i	0.498905	−	0.625607i
$943$	−6.89294	+	30.1999i	−0.224465	+	0.983445i
$944$	13.6542	−	17.1219i	0.444408	−	0.557270i
$945$	−20.7140	−	11.3007i	−0.673826	−	0.367612i
$946$	−2.82036	−	3.53662i	−0.0916977	−	0.114985i
$947$	−19.6519	+	9.46385i	−0.638601	+	0.307534i	−0.725023	−	0.688725i	$-0.758171\pi$
$947$	−19.6519	+	9.46385i	−0.638601	+	0.307534i	0.0864222	+	0.996259i	$0.472457\pi$
$948$	−3.66778	+	16.0696i	−0.119124	+	0.521916i
$949$	−9.43735			−0.306349
$950$	−0.712137			−0.0231048
$951$	−4.05970	+	17.7867i	−0.131645	+	0.576773i
$952$	8.46921	+	11.7989i	0.274489	+	0.382405i
$953$	−8.00314	−	35.0640i	−0.259247	−	1.13584i	−0.922059	−	0.387050i	$-0.873494\pi$
$953$	−8.00314	−	35.0640i	−0.259247	−	1.13584i	0.662812	−	0.748786i	$-0.269363\pi$
$954$	0.771607	+	3.38063i	0.0249817	+	0.109452i
$955$	20.3547	+	25.5240i	0.658663	+	0.825937i
$956$	−20.9752	−	26.3021i	−0.678387	−	0.850670i
$957$	7.53339	+	33.0060i	0.243520	+	1.06693i
$958$	−2.90678	−	12.7354i	−0.0939139	−	0.411464i
$959$	2.64606	+	15.0738i	0.0854459	+	0.486758i
$960$	3.28929	−	14.4113i	0.106161	−	0.465123i
$961$	−26.4032			−0.851715
$962$	2.37277			0.0765010
$963$	−2.92176	+	12.8010i	−0.0941522	+	0.412508i
$964$	−18.9049	+	9.10411i	−0.608885	+	0.293224i
$965$	−31.9636	−	40.0811i	−1.02895	−	1.29026i
$966$	−10.6596	+	4.48381i	−0.342966	+	0.144264i
$967$	9.06967	−	11.3730i	0.291661	−	0.365731i	−0.614315	−	0.789061i	$-0.710567\pi$
$967$	9.06967	−	11.3730i	0.291661	−	0.365731i	0.905976	+	0.423330i	$0.139139\pi$
$968$	−1.91908	+	8.40804i	−0.0616816	+	0.270245i
$969$	−2.51116	+	3.14890i	−0.0806701	+	0.101157i
$970$	−9.69675	+	4.66971i	−0.311344	+	0.149935i
$971$	25.0236	+	31.3786i	0.803045	+	1.00699i	0.999649	+	0.0265037i	$0.00843738\pi$
$971$	25.0236	+	31.3786i	0.803045	+	1.00699i	−0.196604	+	0.980483i	$0.562991\pi$
$972$	−21.5226	−	10.3647i	−0.690336	−	0.332448i
$973$	−25.1643	+	28.4709i	−0.806731	+	0.912734i
$974$	16.6274	−	8.00734i	0.532776	−	0.256572i
$975$	−4.13194	−	1.98984i	−0.132328	−	0.0637258i
$976$	0.266651	+	1.16827i	0.00853529	+	0.0373956i
$977$	7.36444	+	3.54653i	0.235609	+	0.113463i	0.547963	−	0.836502i	$-0.315403\pi$
$977$	7.36444	+	3.54653i	0.235609	+	0.113463i	−0.312354	+	0.949966i	$0.601118\pi$
$978$	12.9208	−	16.2022i	0.413162	−	0.518089i
$979$	5.95467			0.190312
$980$	−22.9691	+	23.4773i	−0.733721	+	0.749956i
$981$	0.983816			0.0314108
$982$	4.36674	−	5.47572i	0.139348	−	0.174737i
$983$	−15.8718	−	7.64346i	−0.506232	−	0.243788i	0.163294	−	0.986578i	$-0.447788\pi$
$983$	−15.8718	−	7.64346i	−0.506232	−	0.243788i	−0.669525	+	0.742789i	$0.733502\pi$
$984$	−6.51025	−	28.5233i	−0.207539	−	0.909289i
$985$	−46.7335	−	22.5057i	−1.48905	−	0.717090i
$986$	−8.40065	+	4.04554i	−0.267531	+	0.128836i
$987$	−1.78751	−	10.1828i	−0.0568970	−	0.324124i
$988$	−1.03115	−	0.496576i	−0.0328053	−	0.0157982i
$989$	−9.30859	−	11.6726i	−0.295996	−	0.371167i
$990$	4.31739	−	2.07914i	0.137216	−	0.0660795i
$991$	−10.6052	+	13.2985i	−0.336886	+	0.422442i	−0.921202	−	0.389085i	$-0.872791\pi$
$991$	−10.6052	+	13.2985i	−0.336886	+	0.422442i	0.584316	+	0.811526i	$0.301363\pi$
$992$	2.39796	−	10.5062i	0.0761355	−	0.333571i
$993$	−1.30367	+	1.63475i	−0.0413707	+	0.0518773i
$994$	−6.51508	+	7.37115i	−0.206646	+	0.233799i
$995$	−15.5775	−	19.5336i	−0.493841	−	0.619257i
$996$	5.19605	−	2.50229i	0.164643	−	0.0792880i
$997$	−10.7946	+	47.2942i	−0.341868	+	1.49782i	0.453259	+	0.891379i	$0.350261\pi$
$997$	−10.7946	+	47.2942i	−0.341868	+	1.49782i	−0.795127	+	0.606443i	$0.792596\pi$
$998$	16.9017			0.535015
$999$	−15.8174			−0.500440

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	637.2.w.b.92.17	✓	174
49.8	even	7	inner	637.2.w.b.547.17	yes	174

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
637.2.w.b.92.17	✓	174	1.1	even	1	trivial
637.2.w.b.547.17	yes	174	49.8	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:	\( N \)	\(=\)	\( 637 = 7^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	637.w (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.311250 - 0.390295i) q^{2} +(-1.89343 - 0.911826i) q^{3} +(0.389588 + 1.70690i) q^{4} +(-2.41457 - 1.16280i) q^{5} +(-0.945210 + 0.455189i) q^{6} +(0.718518 - 2.54632i) q^{7} +(1.68699 + 0.812413i) q^{8} +(0.883165 + 1.10745i) q^{9} +O(q^{10})\)	\(q+(0.311250 - 0.390295i) q^{2} +(-1.89343 - 0.911826i) q^{3} +(0.389588 + 1.70690i) q^{4} +(-2.41457 - 1.16280i) q^{5} +(-0.945210 + 0.455189i) q^{6} +(0.718518 - 2.54632i) q^{7} +(1.68699 + 0.812413i) q^{8} +(0.883165 + 1.10745i) q^{9} +(-1.20537 + 0.580476i) q^{10} +(-1.57659 + 1.97698i) q^{11} +(0.818736 - 3.58712i) q^{12} +(0.623490 - 0.781831i) q^{13} +(-0.770177 - 1.07298i) q^{14} +(3.51155 + 4.40334i) q^{15} +(-2.31266 + 1.11372i) q^{16} +(-0.652379 + 2.85826i) q^{17} +0.707119 q^{18} -0.653699 q^{19} +(1.04409 - 4.57444i) q^{20} +(-3.68226 + 4.16610i) q^{21} +(0.280892 + 1.23067i) q^{22} +(0.927084 + 4.06182i) q^{23} +(-2.45342 - 3.07649i) q^{24} +(1.36062 + 1.70616i) q^{25} +(-0.111084 - 0.486690i) q^{26} +(0.740510 + 3.24439i) q^{27} +(4.62623 + 0.234421i) q^{28} +(-1.41763 + 6.21106i) q^{29} +2.81157 q^{30} -2.14402 q^{31} +(-1.11844 + 4.90022i) q^{32} +(4.78780 - 2.30568i) q^{33} +(0.912513 + 1.14425i) q^{34} +(-4.69576 + 5.31278i) q^{35} +(-1.54624 + 1.93892i) q^{36} +(-1.05766 + 4.63391i) q^{37} +(-0.203464 + 0.255136i) q^{38} +(-1.89343 + 0.911826i) q^{39} +(-3.12869 - 3.92326i) q^{40} +(6.69877 + 3.22596i) q^{41} +(0.479906 + 2.73387i) q^{42} +(-3.22861 + 1.55482i) q^{43} +(-3.98871 - 1.92086i) q^{44} +(-0.844722 - 3.70097i) q^{45} +(1.87386 + 0.902406i) q^{46} +(-1.15931 + 1.45373i) q^{47} +5.39437 q^{48} +(-5.96746 - 3.65915i) q^{49} +1.08940 q^{50} +(3.84147 - 4.81705i) q^{51} +(1.57741 + 0.759641i) q^{52} +(1.09120 + 4.78085i) q^{53} +(1.49675 + 0.720799i) q^{54} +(6.10560 - 2.94030i) q^{55} +(3.28080 - 3.71188i) q^{56} +(1.23773 + 0.596059i) q^{57} +(1.98291 + 2.48649i) q^{58} +(-7.68680 + 3.70177i) q^{59} +(-6.14799 + 7.70933i) q^{60} +(0.103882 - 0.455137i) q^{61} +(-0.667327 + 0.836802i) q^{62} +(3.45450 - 1.45309i) q^{63} +(-1.63641 - 2.05199i) q^{64} +(-2.41457 + 1.16280i) q^{65} +(0.590307 - 2.58630i) q^{66} +9.76851 q^{67} -5.13291 q^{68} +(1.94831 - 8.53609i) q^{69} +(0.611995 + 3.48634i) q^{70} +(-1.65743 - 7.26167i) q^{71} +(0.590183 + 2.58576i) q^{72} +(-5.88409 - 7.37842i) q^{73} +(1.47940 + 1.85510i) q^{74} +(-1.02051 - 4.47113i) q^{75} +(-0.254673 - 1.11580i) q^{76} +(3.90120 + 5.43498i) q^{77} +(-0.233448 + 1.02280i) q^{78} -4.47980 q^{79} +6.87912 q^{80} +(2.50181 - 10.9611i) q^{81} +(3.34407 - 1.61042i) q^{82} +(0.977282 + 1.22547i) q^{83} +(-8.54566 - 4.66217i) q^{84} +(4.89879 - 6.14289i) q^{85} +(-0.398068 + 1.74405i) q^{86} +(8.34759 - 10.4675i) q^{87} +(-4.26581 + 2.05430i) q^{88} +(-1.46825 - 1.84112i) q^{89} +(-1.70739 - 0.822236i) q^{90} +(-1.54280 - 2.14936i) q^{91} +(-6.57193 + 3.16487i) q^{92} +(4.05955 + 1.95497i) q^{93} +(0.206549 + 0.904950i) q^{94} +(1.57840 + 0.760119i) q^{95} +(6.58583 - 8.25837i) q^{96} +8.04462 q^{97} +(-3.28552 + 1.19016i) q^{98} -3.58179 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9}+O(q^{10}) \) 174 * q - 3 * q^2 - 31 * q^4 - 4 * q^5 - 2 * q^6 + 9 * q^7 - 15 * q^8 - 31 * q^9	\( 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9} - 10 q^{10} - 5 q^{11} + 25 q^{12} - 29 q^{13} + 15 q^{14} - 10 q^{15} - 51 q^{16} - 9 q^{17} + 44 q^{18} + 24 q^{19} + 63 q^{20} - 28 q^{21} - 8 q^{22} - 13 q^{23} - 48 q^{24} - 49 q^{25} - 3 q^{26} - 9 q^{27} - 44 q^{28} + 2 q^{29} - 22 q^{30} + 10 q^{31} + 24 q^{32} - 26 q^{33} + 118 q^{34} + 5 q^{35} - 55 q^{36} - 32 q^{37} + 16 q^{38} + 42 q^{40} - 14 q^{41} + 4 q^{42} - 50 q^{43} + 35 q^{44} - q^{45} + 4 q^{46} - 24 q^{47} - 116 q^{48} - 25 q^{49} + 156 q^{50} + 12 q^{51} - 31 q^{52} - 30 q^{53} - 78 q^{54} + 25 q^{55} + 3 q^{56} - 63 q^{57} - 12 q^{58} - 4 q^{59} + 128 q^{60} - 42 q^{61} - 38 q^{62} - 85 q^{63} - 105 q^{64} - 4 q^{65} + 15 q^{66} + 94 q^{67} + 214 q^{68} + 32 q^{69} - 57 q^{70} - 29 q^{71} - 64 q^{72} - 66 q^{73} - 90 q^{74} + 131 q^{75} - 21 q^{76} - 82 q^{77} + 19 q^{78} + 6 q^{79} + 22 q^{80} + 49 q^{81} - 50 q^{82} + 25 q^{83} + 89 q^{84} - 86 q^{85} - 28 q^{86} + 24 q^{87} + 48 q^{88} - 50 q^{89} - 155 q^{90} - 5 q^{91} - 98 q^{92} + 89 q^{93} - 28 q^{94} - 130 q^{95} - 105 q^{96} - 42 q^{97} + 195 q^{98} + 438 q^{99}+O(q^{100}) \) 174 * q - 3 * q^2 - 31 * q^4 - 4 * q^5 - 2 * q^6 + 9 * q^7 - 15 * q^8 - 31 * q^9 - 10 * q^10 - 5 * q^11 + 25 * q^12 - 29 * q^13 + 15 * q^14 - 10 * q^15 - 51 * q^16 - 9 * q^17 + 44 * q^18 + 24 * q^19 + 63 * q^20 - 28 * q^21 - 8 * q^22 - 13 * q^23 - 48 * q^24 - 49 * q^25 - 3 * q^26 - 9 * q^27 - 44 * q^28 + 2 * q^29 - 22 * q^30 + 10 * q^31 + 24 * q^32 - 26 * q^33 + 118 * q^34 + 5 * q^35 - 55 * q^36 - 32 * q^37 + 16 * q^38 + 42 * q^40 - 14 * q^41 + 4 * q^42 - 50 * q^43 + 35 * q^44 - q^45 + 4 * q^46 - 24 * q^47 - 116 * q^48 - 25 * q^49 + 156 * q^50 + 12 * q^51 - 31 * q^52 - 30 * q^53 - 78 * q^54 + 25 * q^55 + 3 * q^56 - 63 * q^57 - 12 * q^58 - 4 * q^59 + 128 * q^60 - 42 * q^61 - 38 * q^62 - 85 * q^63 - 105 * q^64 - 4 * q^65 + 15 * q^66 + 94 * q^67 + 214 * q^68 + 32 * q^69 - 57 * q^70 - 29 * q^71 - 64 * q^72 - 66 * q^73 - 90 * q^74 + 131 * q^75 - 21 * q^76 - 82 * q^77 + 19 * q^78 + 6 * q^79 + 22 * q^80 + 49 * q^81 - 50 * q^82 + 25 * q^83 + 89 * q^84 - 86 * q^85 - 28 * q^86 + 24 * q^87 + 48 * q^88 - 50 * q^89 - 155 * q^90 - 5 * q^91 - 98 * q^92 + 89 * q^93 - 28 * q^94 - 130 * q^95 - 105 * q^96 - 42 * q^97 + 195 * q^98 + 438 * q^99

Introduction

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