LMFDB - Embedded newform 350.2.h.d.211.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

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

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

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

chi := DirichletCharacter("350.71");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

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

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

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

Embedding invariants

Embedding label			211.1
Root			$-0.924929 + 2.84664i$ of defining polynomial
Character	$\chi$	$=$	350.211
Dual form			350.2.h.d.141.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.809017 - 0.587785i) q^{2} +(-0.924929 + 2.84664i) q^{3} +(0.309017 - 0.951057i) q^{4} +(-1.56551 + 1.59661i) q^{5} +(0.924929 + 2.84664i) q^{6} +1.00000 q^{7} +(-0.309017 - 0.951057i) q^{8} +(-4.82080 - 3.50252i) q^{9} +O(q^{10})$	\(q+(0.809017 - 0.587785i) q^{2} +(-0.924929 + 2.84664i) q^{3} +(0.309017 - 0.951057i) q^{4} +(-1.56551 + 1.59661i) q^{5} +(0.924929 + 2.84664i) q^{6} +1.00000 q^{7} +(-0.309017 - 0.951057i) q^{8} +(-4.82080 - 3.50252i) q^{9} +(-0.328061 + 2.21187i) q^{10} +(-4.39430 + 3.19265i) q^{11} +(2.42149 + 1.75932i) q^{12} +(2.43142 + 1.76653i) q^{13} +(0.809017 - 0.587785i) q^{14} +(-3.09699 - 5.93320i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(-0.726297 - 2.23531i) q^{17} -5.95884 q^{18} +(-0.0911948 - 0.280669i) q^{19} +(1.03470 + 1.98227i) q^{20} +(-0.924929 + 2.84664i) q^{21} +(-1.67847 + 5.16581i) q^{22} +(-3.77537 + 2.74297i) q^{23} +2.99313 q^{24} +(-0.0983414 - 4.99903i) q^{25} +3.00540 q^{26} +(7.16481 - 5.20554i) q^{27} +(0.309017 - 0.951057i) q^{28} +(-0.883413 + 2.71887i) q^{29} +(-5.99296 - 2.97969i) q^{30} +(2.79602 + 8.60525i) q^{31} -1.00000 q^{32} +(-5.02389 - 15.4620i) q^{33} +(-1.90147 - 1.38150i) q^{34} +(-1.56551 + 1.59661i) q^{35} +(-4.82080 + 3.50252i) q^{36} +(5.91704 + 4.29898i) q^{37} +(-0.238751 - 0.173463i) q^{38} +(-7.27756 + 5.28746i) q^{39} +(2.00224 + 0.995511i) q^{40} +(4.21493 + 3.06233i) q^{41} +(0.924929 + 2.84664i) q^{42} +8.77475 q^{43} +(1.67847 + 5.16581i) q^{44} +(13.1392 - 2.21372i) q^{45} +(-1.44206 + 4.43822i) q^{46} +(0.140628 - 0.432809i) q^{47} +(2.42149 - 1.75932i) q^{48} +1.00000 q^{49} +(-3.01792 - 3.98650i) q^{50} +7.03490 q^{51} +(2.43142 - 1.76653i) q^{52} +(4.22661 - 13.0082i) q^{53} +(2.73671 - 8.42274i) q^{54} +(1.78192 - 12.0141i) q^{55} +(-0.309017 - 0.951057i) q^{56} +0.883311 q^{57} +(0.883413 + 2.71887i) q^{58} +(8.60759 + 6.25378i) q^{59} +(-6.59983 + 1.11195i) q^{60} +(-1.98268 + 1.44050i) q^{61} +(7.32007 + 5.31834i) q^{62} +(-4.82080 - 3.50252i) q^{63} +(-0.809017 + 0.587785i) q^{64} +(-6.62688 + 1.11651i) q^{65} +(-13.1527 - 9.55602i) q^{66} +(-1.53951 - 4.73812i) q^{67} -2.35035 q^{68} +(-4.31629 - 13.2842i) q^{69} +(-0.328061 + 2.21187i) q^{70} +(3.93479 - 12.1100i) q^{71} +(-1.84138 + 5.66719i) q^{72} +(-5.08046 + 3.69117i) q^{73} +7.31387 q^{74} +(14.3214 + 4.34381i) q^{75} -0.295113 q^{76} +(-4.39430 + 3.19265i) q^{77} +(-2.77978 + 8.55528i) q^{78} +(-3.85000 + 11.8491i) q^{79} +(2.20499 - 0.371501i) q^{80} +(2.66720 + 8.20878i) q^{81} +5.20994 q^{82} +(5.37099 + 16.5302i) q^{83} +(2.42149 + 1.75932i) q^{84} +(4.70596 + 2.33980i) q^{85} +(7.09892 - 5.15767i) q^{86} +(-6.92253 - 5.02951i) q^{87} +(4.39430 + 3.19265i) q^{88} +(-8.14563 + 5.91815i) q^{89} +(9.32863 - 9.51395i) q^{90} +(2.43142 + 1.76653i) q^{91} +(1.44206 + 4.43822i) q^{92} -27.0822 q^{93} +(-0.140628 - 0.432809i) q^{94} +(0.590886 + 0.293788i) q^{95} +(0.924929 - 2.84664i) q^{96} +(2.10797 - 6.48766i) q^{97} +(0.809017 - 0.587785i) q^{98} +32.3664 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 20 q + 5 q^{2} + 3 q^{3} - 5 q^{4} - 5 q^{5} - 3 q^{6} + 20 q^{7} + 5 q^{8} - 6 q^{9}+O(q^{10}) $ 20 * q + 5 * q^2 + 3 * q^3 - 5 * q^4 - 5 * q^5 - 3 * q^6 + 20 * q^7 + 5 * q^8 - 6 * q^9	\( 20 q + 5 q^{2} + 3 q^{3} - 5 q^{4} - 5 q^{5} - 3 q^{6} + 20 q^{7} + 5 q^{8} - 6 q^{9} - 9 q^{11} - 2 q^{12} + 5 q^{13} + 5 q^{14} - 5 q^{16} - 12 q^{17} - 34 q^{18} + 2 q^{19} + 5 q^{20} + 3 q^{21} - 6 q^{22} - 5 q^{23} + 2 q^{24} - 35 q^{25} + 20 q^{26} - 6 q^{27} - 5 q^{28} - 22 q^{29} - 25 q^{30} - 7 q^{31} - 20 q^{32} + 25 q^{33} - 18 q^{34} - 5 q^{35} - 6 q^{36} - 3 q^{37} + 8 q^{38} - 22 q^{39} + 19 q^{41} - 3 q^{42} + 2 q^{43} + 6 q^{44} + 45 q^{45} - 10 q^{46} - 14 q^{47} - 2 q^{48} + 20 q^{49} + 10 q^{50} + 38 q^{51} + 5 q^{52} - q^{53} - 19 q^{54} - 20 q^{55} + 5 q^{56} + 116 q^{57} + 22 q^{58} + 17 q^{59} - 5 q^{60} - 38 q^{61} + 7 q^{62} - 6 q^{63} - 5 q^{64} + 15 q^{65} - 16 q^{67} - 12 q^{68} + 35 q^{69} + q^{71} + 11 q^{72} + 19 q^{73} + 18 q^{74} + 35 q^{75} + 12 q^{76} - 9 q^{77} - 18 q^{78} - 64 q^{79} - 40 q^{81} + 26 q^{82} + 57 q^{83} - 2 q^{84} - 40 q^{85} - 2 q^{86} - 78 q^{87} + 9 q^{88} - 6 q^{89} + 10 q^{90} + 5 q^{91} + 10 q^{92} - 22 q^{93} + 14 q^{94} + 60 q^{95} - 3 q^{96} - 18 q^{97} + 5 q^{98} + 112 q^{99}+O(q^{100}) \) 20 * q + 5 * q^2 + 3 * q^3 - 5 * q^4 - 5 * q^5 - 3 * q^6 + 20 * q^7 + 5 * q^8 - 6 * q^9 - 9 * q^11 - 2 * q^12 + 5 * q^13 + 5 * q^14 - 5 * q^16 - 12 * q^17 - 34 * q^18 + 2 * q^19 + 5 * q^20 + 3 * q^21 - 6 * q^22 - 5 * q^23 + 2 * q^24 - 35 * q^25 + 20 * q^26 - 6 * q^27 - 5 * q^28 - 22 * q^29 - 25 * q^30 - 7 * q^31 - 20 * q^32 + 25 * q^33 - 18 * q^34 - 5 * q^35 - 6 * q^36 - 3 * q^37 + 8 * q^38 - 22 * q^39 + 19 * q^41 - 3 * q^42 + 2 * q^43 + 6 * q^44 + 45 * q^45 - 10 * q^46 - 14 * q^47 - 2 * q^48 + 20 * q^49 + 10 * q^50 + 38 * q^51 + 5 * q^52 - q^53 - 19 * q^54 - 20 * q^55 + 5 * q^56 + 116 * q^57 + 22 * q^58 + 17 * q^59 - 5 * q^60 - 38 * q^61 + 7 * q^62 - 6 * q^63 - 5 * q^64 + 15 * q^65 - 16 * q^67 - 12 * q^68 + 35 * q^69 + q^71 + 11 * q^72 + 19 * q^73 + 18 * q^74 + 35 * q^75 + 12 * q^76 - 9 * q^77 - 18 * q^78 - 64 * q^79 - 40 * q^81 + 26 * q^82 + 57 * q^83 - 2 * q^84 - 40 * q^85 - 2 * q^86 - 78 * q^87 + 9 * q^88 - 6 * q^89 + 10 * q^90 + 5 * q^91 + 10 * q^92 - 22 * q^93 + 14 * q^94 + 60 * q^95 - 3 * q^96 - 18 * q^97 + 5 * q^98 + 112 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$101$	$127$
$\chi(n)$	$1$	$e\left(\frac{4}{5}\right)$

Coefficient data

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

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

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

$2$	0.809017	−	0.587785i	0.572061	−	0.415627i
$2$	0.809017	−	0.587785i	0.572061	−	0.415627i
$3$	−0.924929	+	2.84664i	−0.534008	+	1.64351i	0.211776	+	0.977318i	$0.432075\pi$
$3$	−0.924929	+	2.84664i	−0.534008	+	1.64351i	−0.745783	+	0.666189i	$0.767925\pi$
$4$	0.309017	−	0.951057i	0.154508	−	0.475528i
$5$	−1.56551	+	1.59661i	−0.700118	+	0.714027i
$5$	−1.56551	+	1.59661i	−0.700118	+	0.714027i
$6$	0.924929	+	2.84664i	0.377600	+	1.16213i
$7$	1.00000			0.377964
$7$	1.00000			0.377964
$8$	−0.309017	−	0.951057i	−0.109254	−	0.336249i
$9$	−4.82080	−	3.50252i	−1.60693	−	1.16751i
$10$	−0.328061	+	2.21187i	−0.103742	+	0.699455i
$11$	−4.39430	+	3.19265i	−1.32493	+	0.962620i	−0.325076	+	0.945688i	$0.605390\pi$
$11$	−4.39430	+	3.19265i	−1.32493	+	0.962620i	−0.999857	+	0.0169316i	$0.994610\pi$
$12$	2.42149	+	1.75932i	0.699025	+	0.507872i
$13$	2.43142	+	1.76653i	0.674355	+	0.489947i	0.871480	−	0.490431i	$-0.163161\pi$
$13$	2.43142	+	1.76653i	0.674355	+	0.489947i	−0.197126	+	0.980378i	$0.563161\pi$
$14$	0.809017	−	0.587785i	0.216219	−	0.157092i
$15$	−3.09699	−	5.93320i	−0.799639	−	1.53195i
$16$	−0.809017	−	0.587785i	−0.202254	−	0.146946i
$17$	−0.726297	−	2.23531i	−0.176153	−	0.542143i	0.823531	−	0.567271i	$-0.192001\pi$
$17$	−0.726297	−	2.23531i	−0.176153	−	0.542143i	−0.999684	+	0.0251278i	$0.992001\pi$
$18$	−5.95884			−1.40451
$19$	−0.0911948	−	0.280669i	−0.0209215	−	0.0643899i	0.940051	−	0.341035i	$-0.110777\pi$
$19$	−0.0911948	−	0.280669i	−0.0209215	−	0.0643899i	−0.960972	+	0.276645i	$0.910777\pi$
$20$	1.03470	+	1.98227i	0.231366	+	0.443249i
$21$	−0.924929	+	2.84664i	−0.201836	+	0.621187i
$22$	−1.67847	+	5.16581i	−0.357852	+	1.10136i
$23$	−3.77537	+	2.74297i	−0.787220	+	0.571949i	−0.907137	−	0.420835i	$-0.861737\pi$
$23$	−3.77537	+	2.74297i	−0.787220	+	0.571949i	0.119917	+	0.992784i	$0.461737\pi$
$24$	2.99313			0.610970
$25$	−0.0983414	−	4.99903i	−0.0196683	−	0.999807i
$26$	3.00540			0.589407
$27$	7.16481	−	5.20554i	1.37887	−	1.00181i
$28$	0.309017	−	0.951057i	0.0583987	−	0.179733i
$29$	−0.883413	+	2.71887i	−0.164046	+	0.504881i	−0.998965	−	0.0454922i	$-0.985514\pi$
$29$	−0.883413	+	2.71887i	−0.164046	+	0.504881i	0.834919	+	0.550373i	$0.185514\pi$
$30$	−5.99296	−	2.97969i	−1.09416	−	0.544015i
$31$	2.79602	+	8.60525i	0.502179	+	1.54555i	0.805461	+	0.592648i	$0.201918\pi$
$31$	2.79602	+	8.60525i	0.502179	+	1.54555i	−0.303282	+	0.952901i	$0.598082\pi$
$32$	−1.00000			−0.176777
$33$	−5.02389	−	15.4620i	−0.874548	−	2.69158i
$34$	−1.90147	−	1.38150i	−0.326100	−	0.236925i
$35$	−1.56551	+	1.59661i	−0.264620	+	0.269877i
$36$	−4.82080	+	3.50252i	−0.803467	+	0.583753i
$37$	5.91704	+	4.29898i	0.972756	+	0.706748i	0.956078	−	0.293112i	$-0.0946910\pi$
$37$	5.91704	+	4.29898i	0.972756	+	0.706748i	0.0166778	+	0.999861i	$0.494691\pi$
$38$	−0.238751	−	0.173463i	−0.0387306	−	0.0281394i
$39$	−7.27756	+	5.28746i	−1.16534	+	0.846671i
$40$	2.00224	+	0.995511i	0.316582	+	0.157404i
$41$	4.21493	+	3.06233i	0.658262	+	0.478255i	0.866076	−	0.499913i	$-0.166635\pi$
$41$	4.21493	+	3.06233i	0.658262	+	0.478255i	−0.207814	+	0.978168i	$0.566635\pi$
$42$	0.924929	+	2.84664i	0.142720	+	0.439246i
$43$	8.77475			1.33814			0.669068	−	0.743201i	$-0.266693\pi$
$43$	8.77475			1.33814			0.669068	+	0.743201i	$0.266693\pi$
$44$	1.67847	+	5.16581i	0.253040	+	0.778776i
$45$	13.1392	−	2.21372i	1.95867	−	0.330001i
$46$	−1.44206	+	4.43822i	−0.212621	+	0.654379i
$47$	0.140628	−	0.432809i	0.0205127	−	0.0631317i	−0.940276	−	0.340413i	$-0.889433\pi$
$47$	0.140628	−	0.432809i	0.0205127	−	0.0631317i	0.960789	+	0.277281i	$0.0894333\pi$
$48$	2.42149	−	1.75932i	0.349513	−	0.253936i
$49$	1.00000			0.142857
$50$	−3.01792	−	3.98650i	−0.426798	−	0.563776i
$51$	7.03490			0.985083
$52$	2.43142	−	1.76653i	0.337177	−	0.244974i
$53$	4.22661	−	13.0082i	0.580569	−	1.78681i	−0.0358094	−	0.999359i	$-0.511401\pi$
$53$	4.22661	−	13.0082i	0.580569	−	1.78681i	0.616379	−	0.787450i	$-0.288599\pi$
$54$	2.73671	−	8.42274i	0.372419	−	1.14619i
$55$	1.78192	−	12.0141i	0.240273	−	1.61998i
$56$	−0.309017	−	0.951057i	−0.0412941	−	0.127090i
$57$	0.883311			0.116997
$58$	0.883413	+	2.71887i	0.115998	+	0.357004i
$59$	8.60759	+	6.25378i	1.12061	+	0.814173i	0.984302	−	0.176493i	$-0.0564754\pi$
$59$	8.60759	+	6.25378i	1.12061	+	0.814173i	0.136311	+	0.990666i	$0.456475\pi$
$60$	−6.59983	+	1.11195i	−0.852034	+	0.143552i
$61$	−1.98268	+	1.44050i	−0.253856	+	0.184437i	−0.707434	−	0.706780i	$-0.750147\pi$
$61$	−1.98268	+	1.44050i	−0.253856	+	0.184437i	0.453578	+	0.891216i	$0.350147\pi$
$62$	7.32007	+	5.31834i	0.929649	+	0.675430i
$63$	−4.82080	−	3.50252i	−0.607364	−	0.441276i
$64$	−0.809017	+	0.587785i	−0.101127	+	0.0734732i
$65$	−6.62688	+	1.11651i	−0.821963	+	0.138486i
$66$	−13.1527	−	9.55602i	−1.61899	−	1.17626i
$67$	−1.53951	−	4.73812i	−0.188081	−	0.578853i	0.811907	−	0.583787i	$-0.198430\pi$
$67$	−1.53951	−	4.73812i	−0.188081	−	0.578853i	−0.999988	+	0.00493357i	$0.998430\pi$
$68$	−2.35035			−0.285022
$69$	−4.31629	−	13.2842i	−0.519620	−	1.59923i
$70$	−0.328061	+	2.21187i	−0.0392108	+	0.264369i
$71$	3.93479	−	12.1100i	0.466974	−	1.43720i	−0.389509	−	0.921023i	$-0.627355\pi$
$71$	3.93479	−	12.1100i	0.466974	−	1.43720i	0.856483	−	0.516176i	$-0.172645\pi$
$72$	−1.84138	+	5.66719i	−0.217009	+	0.667885i
$73$	−5.08046	+	3.69117i	−0.594622	+	0.432018i	−0.843966	−	0.536397i	$-0.819785\pi$
$73$	−5.08046	+	3.69117i	−0.594622	+	0.432018i	0.249344	+	0.968415i	$0.419785\pi$
$74$	7.31387			0.850220
$75$	14.3214	+	4.34381i	1.65369	+	0.501580i
$76$	−0.295113			−0.0338517
$77$	−4.39430	+	3.19265i	−0.500777	+	0.363836i
$78$	−2.77978	+	8.55528i	−0.314748	+	0.968695i
$79$	−3.85000	+	11.8491i	−0.433158	+	1.33312i	0.461804	+	0.886982i	$0.347203\pi$
$79$	−3.85000	+	11.8491i	−0.433158	+	1.33312i	−0.894962	+	0.446142i	$0.852797\pi$
$80$	2.20499	−	0.371501i	0.246526	−	0.0415351i
$81$	2.66720	+	8.20878i	0.296355	+	0.912087i
$82$	5.20994			0.575342
$83$	5.37099	+	16.5302i	0.589543	+	1.81443i	0.580206	+	0.814470i	$0.302972\pi$
$83$	5.37099	+	16.5302i	0.589543	+	1.81443i	0.00933720	+	0.999956i	$0.497028\pi$
$84$	2.42149	+	1.75932i	0.264207	+	0.191957i
$85$	4.70596	+	2.33980i	0.510433	+	0.253786i
$86$	7.09892	−	5.15767i	0.765496	−	0.556166i
$87$	−6.92253	−	5.02951i	−0.742173	−	0.539220i
$88$	4.39430	+	3.19265i	0.468434	+	0.340337i
$89$	−8.14563	+	5.91815i	−0.863435	+	0.627323i	−0.928817	−	0.370538i	$-0.879173\pi$
$89$	−8.14563	+	5.91815i	−0.863435	+	0.627323i	0.0653820	+	0.997860i	$0.479173\pi$
$90$	9.32863	−	9.51395i	0.983324	−	1.00286i
$91$	2.43142	+	1.76653i	0.254882	+	0.185183i
$92$	1.44206	+	4.43822i	0.150346	+	0.462716i
$93$	−27.0822			−2.80829
$94$	−0.140628	−	0.432809i	−0.0145047	−	0.0446409i
$95$	0.590886	+	0.293788i	0.0606236	+	0.0301420i
$96$	0.924929	−	2.84664i	0.0944001	−	0.290534i
$97$	2.10797	−	6.48766i	0.214032	−	0.658722i	−0.785189	−	0.619256i	$-0.787434\pi$
$97$	2.10797	−	6.48766i	0.214032	−	0.658722i	0.999221	−	0.0394659i	$-0.0125656\pi$
$98$	0.809017	−	0.587785i	0.0817231	−	0.0593753i
$99$	32.3664			3.25294
$100$	−4.78475	−	1.45126i	−0.478475	−	0.145126i
$101$	−8.95524			−0.891080			−0.445540	−	0.895262i	$-0.646988\pi$
$101$	−8.95524			−0.891080			−0.445540	+	0.895262i	$0.646988\pi$
$102$	5.69135	−	4.13501i	0.563528	−	0.409427i
$103$	−0.0903936	+	0.278203i	−0.00890675	+	0.0274121i	−0.955411	−	0.295279i	$-0.904587\pi$
$103$	−0.0903936	+	0.278203i	−0.00890675	+	0.0274121i	0.946504	+	0.322691i	$0.104587\pi$
$104$	0.928720	−	2.85831i	0.0910685	−	0.280280i
$105$	−3.09699	−	5.93320i	−0.302235	−	0.579021i
$106$	−4.22661	−	13.0082i	−0.410524	−	1.26346i
$107$	1.80442			0.174439			0.0872197	−	0.996189i	$-0.472202\pi$
$107$	1.80442			0.174439			0.0872197	+	0.996189i	$0.472202\pi$
$108$	−2.73671	−	8.42274i	−0.263340	−	0.810478i
$109$	−8.24970	−	5.99376i	−0.790178	−	0.574098i	0.117838	−	0.993033i	$-0.462404\pi$
$109$	−8.24970	−	5.99376i	−0.790178	−	0.574098i	−0.908016	+	0.418935i	$0.862404\pi$
$110$	−5.62013	−	10.7670i	−0.535858	−	1.02659i
$111$	−17.7105	+	12.8674i	−1.68100	+	1.22132i
$112$	−0.809017	−	0.587785i	−0.0764449	−	0.0555405i
$113$	−5.76197	−	4.18632i	−0.542041	−	0.393816i	0.282802	−	0.959178i	$-0.408736\pi$
$113$	−5.76197	−	4.18632i	−0.542041	−	0.393816i	−0.824842	+	0.565363i	$0.808736\pi$
$114$	0.714614	−	0.519197i	0.0669297	−	0.0486273i
$115$	1.53094	−	10.3220i	0.142760	−	0.962528i
$116$	2.31280	+	1.68035i	0.214739	+	0.156017i
$117$	−5.53409	−	17.0322i	−0.511627	−	1.57463i
$118$	10.6396			0.979451
$119$	−0.726297	−	2.23531i	−0.0665796	−	0.204911i
$120$	−4.68578	+	4.77887i	−0.427752	+	0.436249i
$121$	5.71771	−	17.5973i	0.519792	−	1.59976i
$122$	−0.757315	+	2.33077i	−0.0685640	+	0.211018i
$123$	−12.6158	+	9.16595i	−1.13753	+	0.826466i
$124$	9.04810			0.812543
$125$	8.13547	+	7.66904i	0.727659	+	0.685939i
$126$	−5.95884			−0.530855
$127$	10.4381	−	7.58373i	0.926233	−	0.672948i	−0.0188347	−	0.999823i	$-0.505996\pi$
$127$	10.4381	−	7.58373i	0.926233	−	0.672948i	0.945068	+	0.326875i	$0.105996\pi$
$128$	−0.309017	+	0.951057i	−0.0273135	+	0.0840623i
$129$	−8.11602	+	24.9785i	−0.714575	+	2.19924i
$130$	−4.70499	+	4.79846i	−0.412655	+	0.420853i
$131$	−2.33458	−	7.18510i	−0.203973	−	0.627765i	−0.999754	−	0.0221804i	$-0.992939\pi$
$131$	−2.33458	−	7.18510i	−0.203973	−	0.627765i	0.795781	−	0.605585i	$-0.207061\pi$
$132$	−16.2577			−1.41505
$133$	−0.0911948	−	0.280669i	−0.00790760	−	0.0243371i
$134$	−4.03048	−	2.92832i	−0.348181	−	0.252968i
$135$	−2.90537	+	19.5888i	−0.250054	+	1.68593i
$136$	−1.90147	+	1.38150i	−0.163050	+	0.118463i
$137$	2.47738	+	1.79992i	0.211656	+	0.153777i	0.688563	−	0.725177i	$-0.258242\pi$
$137$	2.47738	+	1.79992i	0.211656	+	0.153777i	−0.476906	+	0.878954i	$0.658242\pi$
$138$	−11.3002	−	8.21007i	−0.961936	−	0.698887i
$139$	−11.4210	+	8.29787i	−0.968720	+	0.703817i	−0.955160	−	0.296091i	$-0.904317\pi$
$139$	−11.4210	+	8.29787i	−0.968720	+	0.703817i	−0.0135608	+	0.999908i	$0.504317\pi$
$140$	1.03470	+	1.98227i	0.0874480	+	0.167532i
$141$	1.10198	+	0.800635i	0.0928034	+	0.0674257i
$142$	−3.93479	−	12.1100i	−0.330201	−	1.01625i
$143$	−16.3243			−1.36511
$144$	1.84138	+	5.66719i	0.153448	+	0.472266i
$145$	−2.95798	−	5.66688i	−0.245647	−	0.470609i
$146$	−1.94056	+	5.97243i	−0.160602	+	0.494282i
$147$	−0.924929	+	2.84664i	−0.0762868	+	0.234787i
$148$	5.91704	−	4.29898i	0.486378	−	0.353374i
$149$	18.5810			1.52221			0.761106	−	0.648628i	$-0.224657\pi$
$149$	18.5810			1.52221			0.761106	+	0.648628i	$0.224657\pi$
$150$	14.1395	−	4.90369i	1.15448	−	0.400385i
$151$	8.83515			0.718994			0.359497	−	0.933146i	$-0.382948\pi$
$151$	8.83515			0.718994			0.359497	+	0.933146i	$0.382948\pi$
$152$	−0.238751	+	0.173463i	−0.0193653	+	0.0140697i
$153$	−4.32789	+	13.3199i	−0.349889	+	1.07685i
$154$	−1.67847	+	5.16581i	−0.135255	+	0.416273i
$155$	−18.1165	−	9.00748i	−1.45515	−	0.723498i
$156$	2.77978	+	8.55528i	0.222561	+	0.684971i
$157$	−3.51351			−0.280409			−0.140204	−	0.990123i	$-0.544776\pi$
$157$	−3.51351			−0.280409			−0.140204	+	0.990123i	$0.544776\pi$
$158$	3.85000	+	11.8491i	0.306289	+	0.942661i
$159$	33.1202	+	24.0632i	2.62660	+	1.90834i
$160$	1.56551	−	1.59661i	0.123765	−	0.126223i
$161$	−3.77537	+	2.74297i	−0.297541	+	0.216176i
$162$	6.98281	+	5.07331i	0.548621	+	0.398597i
$163$	2.14152	+	1.55591i	0.167737	+	0.121868i	0.668487	−	0.743724i	$-0.266942\pi$
$163$	2.14152	+	1.55591i	0.167737	+	0.121868i	−0.500750	+	0.865592i	$0.666942\pi$
$164$	4.21493	−	3.06233i	0.329131	−	0.239128i
$165$	32.5517	+	16.1847i	2.53415	+	1.25998i
$166$	14.0614	+	10.2162i	1.09138	+	0.792933i
$167$	−5.05183	−	15.5479i	−0.390923	−	1.20314i	−0.932092	−	0.362222i	$-0.882018\pi$
$167$	−5.05183	−	15.5479i	−0.390923	−	1.20314i	0.541169	−	0.840914i	$-0.317982\pi$
$168$	2.99313			0.230925
$169$	−1.22605	−	3.77338i	−0.0943113	−	0.290260i
$170$	5.18250	−	0.873157i	0.397479	−	0.0669681i
$171$	−0.543415	+	1.67246i	−0.0415560	+	0.127896i
$172$	2.71155	−	8.34528i	0.206754	−	0.636322i
$173$	8.41715	−	6.11542i	0.639944	−	0.464947i	−0.219887	−	0.975525i	$-0.570569\pi$
$173$	8.41715	−	6.11542i	0.639944	−	0.464947i	0.859831	+	0.510579i	$0.170569\pi$
$174$	−8.55672			−0.648683
$175$	−0.0983414	−	4.99903i	−0.00743391	−	0.377891i
$176$	5.43166			0.409427
$177$	−25.7636	+	18.7184i	−1.93651	+	1.40696i
$178$	−3.11136	+	9.57577i	−0.233206	+	0.717734i
$179$	−5.66513	+	17.4355i	−0.423432	+	1.30319i	0.481056	+	0.876690i	$0.340253\pi$
$179$	−5.66513	+	17.4355i	−0.423432	+	1.30319i	−0.904488	+	0.426500i	$0.859747\pi$
$180$	1.95486	−	13.1802i	0.145707	−	0.982393i
$181$	−2.22714	−	6.85443i	−0.165542	−	0.509486i	0.833534	−	0.552468i	$-0.186314\pi$
$181$	−2.22714	−	6.85443i	−0.165542	−	0.509486i	−0.999076	+	0.0429825i	$0.986314\pi$
$182$	3.00540			0.222775
$183$	−2.26674	−	6.97631i	−0.167562	−	0.515704i
$184$	3.77537	+	2.74297i	0.278324	+	0.202214i
$185$	−16.1270	+	2.71711i	−1.18568	+	0.199766i
$186$	−21.9099	+	15.9185i	−1.60651	+	1.16720i
$187$	10.3281	+	7.50383i	0.755268	+	0.548735i
$188$	−0.368170	−	0.267491i	−0.0268515	−	0.0195088i
$189$	7.16481	−	5.20554i	0.521163	−	0.378647i
$190$	0.650721	−	0.109635i	0.0472083	−	0.00795374i
$191$	4.71948	+	3.42890i	0.341489	+	0.248107i	0.745290	−	0.666740i	$-0.232311\pi$
$191$	4.71948	+	3.42890i	0.341489	+	0.248107i	−0.403801	+	0.914847i	$0.632311\pi$
$192$	−0.924929	−	2.84664i	−0.0667510	−	0.205438i
$193$	11.1020			0.799141			0.399571	−	0.916702i	$-0.369159\pi$
$193$	11.1020			0.799141			0.399571	+	0.916702i	$0.369159\pi$
$194$	−2.10797	−	6.48766i	−0.151343	−	0.465787i
$195$	2.95109	−	19.8970i	0.211332	−	1.42486i
$196$	0.309017	−	0.951057i	0.0220726	−	0.0679326i
$197$	−5.83559	+	17.9601i	−0.415768	+	1.27960i	0.495794	+	0.868440i	$0.334877\pi$
$197$	−5.83559	+	17.9601i	−0.415768	+	1.27960i	−0.911562	+	0.411163i	$0.865123\pi$
$198$	26.1849	−	19.0245i	1.86088	−	1.35201i
$199$	−10.5199			−0.745734			−0.372867	−	0.927885i	$-0.621625\pi$
$199$	−10.5199			−0.745734			−0.372867	+	0.927885i	$0.621625\pi$
$200$	−4.72397	+	1.63831i	−0.334035	+	0.115846i
$201$	14.9116			1.05179
$202$	−7.24494	+	5.26376i	−0.509752	+	0.370357i
$203$	−0.883413	+	2.71887i	−0.0620034	+	0.190827i
$204$	2.17390	−	6.69059i	0.152204	−	0.468435i
$205$	−11.4879	+	1.93550i	−0.802348	+	0.135181i
$206$	0.0903936	+	0.278203i	0.00629802	+	0.0193833i
$207$	27.8076			1.93276
$208$	−0.928720	−	2.85831i	−0.0643951	−	0.198188i
$209$	1.29681	+	0.942191i	0.0897026	+	0.0651727i
$210$	−5.99296	−	2.97969i	−0.413554	−	0.205618i
$211$	−7.27226	+	5.28361i	−0.500643	+	0.363739i	−0.809263	−	0.587447i	$-0.800133\pi$
$211$	−7.27226	+	5.28361i	−0.500643	+	0.363739i	0.308619	+	0.951186i	$0.400133\pi$
$212$	−11.0654	−	8.03949i	−0.759975	−	0.552154i
$213$	30.8335	+	22.4019i	2.11268	+	1.53495i
$214$	1.45980	−	1.06061i	0.0997900	−	0.0725017i
$215$	−13.7370	+	14.0099i	−0.936854	+	0.955465i
$216$	−7.16481	−	5.20554i	−0.487503	−	0.354192i
$217$	2.79602	+	8.60525i	0.189806	+	0.584163i
$218$	−10.1972			−0.690641
$219$	−5.80836	−	17.8763i	−0.392492	−	1.20797i
$220$	−10.8755	−	5.40727i	−0.733224	−	0.364558i
$221$	2.18281	−	6.71801i	0.146832	−	0.451902i
$222$	−6.76480	+	20.8199i	−0.454024	+	1.39734i
$223$	11.2950	−	8.20633i	0.756372	−	0.549537i	−0.141423	−	0.989949i	$-0.545168\pi$
$223$	11.2950	−	8.20633i	0.756372	−	0.549537i	0.897795	+	0.440413i	$0.145168\pi$
$224$	−1.00000			−0.0668153
$225$	−17.0351	+	24.4438i	−1.13567	+	1.62959i
$226$	−7.12219			−0.473761
$227$	15.7212	−	11.4221i	1.04345	−	0.758113i	0.0724967	−	0.997369i	$-0.476903\pi$
$227$	15.7212	−	11.4221i	1.04345	−	0.758113i	0.970957	+	0.239255i	$0.0769033\pi$
$228$	0.272958	−	0.840079i	0.0180771	−	0.0556356i
$229$	−0.350365	+	1.07831i	−0.0231528	+	0.0712569i	−0.961965	−	0.273172i	$-0.911927\pi$
$229$	−0.350365	+	1.07831i	−0.0231528	+	0.0712569i	0.938813	+	0.344429i	$0.111927\pi$
$230$	−4.82854	−	9.25050i	−0.318385	−	0.609960i
$231$	−5.02389	−	15.4620i	−0.330548	−	1.01732i
$232$	2.85878			0.187688
$233$	4.52458	+	13.9252i	0.296415	+	0.912273i	0.982742	+	0.184980i	$0.0592219\pi$
$233$	4.52458	+	13.9252i	0.296415	+	0.912273i	−0.686327	+	0.727293i	$0.740778\pi$
$234$	−14.4884	−	10.5265i	−0.947139	−	0.688136i
$235$	0.470873	+	0.902097i	0.0307164	+	0.0588463i
$236$	8.60759	−	6.25378i	0.560306	−	0.407086i
$237$	−30.1690	−	21.9191i	−1.95969	−	1.42380i
$238$	−1.90147	−	1.38150i	−0.123254	−	0.0895493i
$239$	−7.46981	+	5.42714i	−0.483182	+	0.351052i	−0.802556	−	0.596576i	$-0.796527\pi$
$239$	−7.46981	+	5.42714i	−0.483182	+	0.351052i	0.319374	+	0.947629i	$0.396527\pi$
$240$	−0.981930	+	6.62042i	−0.0633833	+	0.427346i
$241$	−4.68451	−	3.40350i	−0.301756	−	0.219239i	0.426595	−	0.904443i	$-0.359713\pi$
$241$	−4.68451	−	3.40350i	−0.301756	−	0.219239i	−0.728351	+	0.685204i	$0.759713\pi$
$242$	−5.71771	−	17.5973i	−0.367548	−	1.13120i
$243$	0.734167			0.0470968
$244$	0.757315	+	2.33077i	0.0484821	+	0.149213i
$245$	−1.56551	+	1.59661i	−0.100017	+	0.102004i
$246$	−4.81883	+	14.8308i	−0.307237	+	0.945578i
$247$	0.274077	−	0.843522i	0.0174391	−	0.0536720i
$248$	7.32007	−	5.31834i	0.464825	−	0.337715i
$249$	−52.0233			−3.29684
$250$	11.0895	+	1.42247i	0.701360	+	0.0899649i
$251$	−21.6085			−1.36392			−0.681959	−	0.731391i	$-0.738872\pi$
$251$	−21.6085			−1.36392			−0.681959	+	0.731391i	$0.738872\pi$
$252$	−4.82080	+	3.50252i	−0.303682	+	0.220638i
$253$	7.83280	−	24.1069i	0.492444	−	1.51559i
$254$	3.98700	−	12.2707i	0.250167	−	0.769935i
$255$	−11.0132	+	11.2320i	−0.689675	+	0.703376i
$256$	0.309017	+	0.951057i	0.0193136	+	0.0594410i
$257$	22.7788			1.42090			0.710450	−	0.703748i	$-0.248491\pi$
$257$	22.7788			1.42090			0.710450	+	0.703748i	$0.248491\pi$
$258$	8.11602	+	24.9785i	0.505281	+	1.55510i
$259$	5.91704	+	4.29898i	0.367667	+	0.267126i
$260$	−0.985955	+	6.64756i	−0.0611463	+	0.412264i
$261$	13.7816	−	10.0129i	0.853061	−	0.619785i
$262$	−6.11201	−	4.44064i	−0.377601	−	0.274344i
$263$	−17.9026	−	13.0070i	−1.10392	−	0.802046i	−0.122226	−	0.992502i	$-0.539003\pi$
$263$	−17.9026	−	13.0070i	−1.10392	−	0.802046i	−0.981696	+	0.190456i	$0.939003\pi$
$264$	−13.1527	+	9.55602i	−0.809494	+	0.588132i
$265$	14.1522	+	27.1127i	0.869362	+	1.66552i
$266$	−0.238751	−	0.173463i	−0.0146388	−	0.0106357i
$267$	−9.31270	−	28.6615i	−0.569928	−	1.75406i
$268$	−4.98195			−0.304321
$269$	−2.26765	−	6.97910i	−0.138261	−	0.425523i	0.857822	−	0.513947i	$-0.171817\pi$
$269$	−2.26765	−	6.97910i	−0.138261	−	0.425523i	−0.996083	+	0.0884234i	$0.971817\pi$
$270$	9.16349	+	17.5554i	0.557672	+	1.06839i
$271$	1.79626	−	5.52832i	0.109115	−	0.335821i	−0.881559	−	0.472073i	$-0.843506\pi$
$271$	1.79626	−	5.52832i	0.109115	−	0.335821i	0.990674	+	0.136252i	$0.0435057\pi$
$272$	−0.726297	+	2.23531i	−0.0440382	+	0.135536i
$273$	−7.27756	+	5.28746i	−0.440458	+	0.320011i
$274$	3.06220			0.184995
$275$	16.3923	+	21.6533i	0.988493	+	1.30574i
$276$	−13.9678			−0.840763
$277$	3.83114	−	2.78349i	0.230191	−	0.167244i	−0.466711	−	0.884410i	$-0.654561\pi$
$277$	3.83114	−	2.78349i	0.230191	−	0.167244i	0.696902	+	0.717166i	$0.254561\pi$
$278$	−4.36245	+	13.4262i	−0.261642	+	0.805253i
$279$	16.6610	−	51.2773i	0.997468	−	3.06989i
$280$	2.00224	+	0.995511i	0.119657	+	0.0594931i
$281$	−6.28296	−	19.3370i	−0.374810	−	1.15355i	−0.943607	−	0.331069i	$-0.892591\pi$
$281$	−6.28296	−	19.3370i	−0.374810	−	1.15355i	0.568797	−	0.822478i	$-0.307409\pi$
$282$	1.36212			0.0811132
$283$	−7.27738	−	22.3975i	−0.432596	−	1.33139i	−0.895531	−	0.445000i	$-0.853204\pi$
$283$	−7.27738	−	22.3975i	−0.432596	−	1.33139i	0.462935	−	0.886392i	$-0.346796\pi$
$284$	−10.3014	−	7.48442i	−0.611277	−	0.444119i
$285$	−1.38283	+	1.41031i	−0.0819121	+	0.0835393i
$286$	−13.2066	+	9.59518i	−0.780925	+	0.567375i
$287$	4.21493	+	3.06233i	0.248800	+	0.180763i
$288$	4.82080	+	3.50252i	0.284068	+	0.206388i
$289$	9.28417	−	6.74534i	0.546128	−	0.396785i
$290$	−5.72397	−	2.84595i	−0.336123	−	0.167120i
$291$	16.5183	+	12.0012i	0.968319	+	0.703525i
$292$	1.94056	+	5.97243i	0.113563	+	0.349510i
$293$	−13.1751			−0.769698			−0.384849	−	0.922979i	$-0.625747\pi$
$293$	−13.1751			−0.769698			−0.384849	+	0.922979i	$0.625747\pi$
$294$	0.924929	+	2.84664i	0.0539429	+	0.166019i
$295$	−23.4601	+	3.95261i	−1.36590	+	0.230130i
$296$	2.26011	−	6.95590i	0.131366	−	0.404303i
$297$	−14.8649	+	45.7494i	−0.862548	+	2.65465i
$298$	15.0323	−	10.9216i	0.870798	−	0.632672i
$299$	−14.0251			−0.811090
$300$	8.55676	−	12.2781i	0.494025	−	0.708879i
$301$	8.77475			0.505768
$302$	7.14779	−	5.19317i	0.411309	−	0.298833i
$303$	8.28296	−	25.4923i	0.475843	−	1.46450i
$304$	−0.0911948	+	0.280669i	−0.00523038	+	0.0160975i
$305$	0.803986	−	5.42068i	0.0460361	−	0.310387i
$306$	4.32789	+	13.3199i	0.247409	+	0.761446i
$307$	6.61387			0.377473			0.188737	−	0.982028i	$-0.439561\pi$
$307$	6.61387			0.377473			0.188737	+	0.982028i	$0.439561\pi$
$308$	1.67847	+	5.16581i	0.0956400	+	0.294350i
$309$	−0.708335	−	0.514636i	−0.0402958	−	0.0292766i
$310$	−19.9510	+	3.36138i	−1.13314	+	0.190914i
$311$	11.6373	−	8.45498i	0.659889	−	0.479438i	−0.206736	−	0.978397i	$-0.566284\pi$
$311$	11.6373	−	8.45498i	0.659889	−	0.479438i	0.866626	+	0.498959i	$0.166284\pi$
$312$	7.27756	+	5.28746i	0.412011	+	0.299343i
$313$	−5.10976	−	3.71246i	−0.288821	−	0.209841i	0.433935	−	0.900944i	$-0.357125\pi$
$313$	−5.10976	−	3.71246i	−0.288821	−	0.209841i	−0.722756	+	0.691104i	$0.757125\pi$
$314$	−2.84249	+	2.06519i	−0.160411	+	0.116545i
$315$	13.1392	−	2.21372i	0.740309	−	0.124729i
$316$	10.0794	+	7.32313i	0.567012	+	0.411958i
$317$	8.06301	+	24.8154i	0.452864	+	1.39377i	0.873625	+	0.486600i	$0.161763\pi$
$317$	8.06301	+	24.8154i	0.452864	+	1.39377i	−0.420761	+	0.907172i	$0.638237\pi$
$318$	40.9388			2.29574
$319$	−4.79840	−	14.7679i	−0.268659	−	0.826846i
$320$	0.328061	−	2.21187i	0.0183392	−	0.123647i
$321$	−1.66896	+	5.13652i	−0.0931520	+	0.286692i
$322$	−1.44206	+	4.43822i	−0.0803631	+	0.247332i
$323$	−0.561148	+	0.407698i	−0.0312231	+	0.0226849i
$324$	8.63123			0.479513
$325$	8.59183	−	12.3285i	0.476589	−	0.683860i
$326$	2.64707			0.146607
$327$	24.6925	−	17.9401i	1.36550	−	0.992091i
$328$	1.60996	−	4.95495i	0.0888952	−	0.273591i
$329$	0.140628	−	0.432809i	0.00775309	−	0.0238615i
$330$	35.8480	−	6.03974i	1.97337	−	0.332477i
$331$	9.69013	+	29.8231i	0.532617	+	1.63923i	0.748742	+	0.662862i	$0.230658\pi$
$331$	9.69013	+	29.8231i	0.532617	+	1.63923i	−0.216124	+	0.976366i	$0.569342\pi$
$332$	17.3809			0.953900
$333$	−13.4676	−	41.4491i	−0.738021	−	2.27140i
$334$	−13.2259	−	9.60916i	−0.723687	−	0.525790i
$335$	9.97506	+	4.95959i	0.544995	+	0.270971i
$336$	2.42149	−	1.75932i	0.132103	−	0.0959787i
$337$	8.90457	+	6.46955i	0.485063	+	0.352419i	0.803282	−	0.595598i	$-0.203085\pi$
$337$	8.90457	+	6.46955i	0.485063	+	0.352419i	−0.318220	+	0.948017i	$0.603085\pi$
$338$	−3.20983	−	2.33208i	−0.174592	−	0.126848i
$339$	17.2463	−	12.5302i	0.936692	−	0.680547i
$340$	3.67950	−	3.75259i	0.199549	−	0.203513i
$341$	−39.7601	−	28.8874i	−2.15313	−	1.56434i
$342$	0.543415	+	1.67246i	0.0293845	+	0.0904363i
$343$	1.00000			0.0539949
$344$	−2.71155	−	8.34528i	−0.146197	−	0.449948i
$345$	27.9669	+	13.9051i	1.50569	+	0.748625i
$346$	3.21507	−	9.89495i	0.172843	−	0.531956i
$347$	1.56352	−	4.81202i	0.0839341	−	0.258323i	−0.900278	−	0.435315i	$-0.856637\pi$
$347$	1.56352	−	4.81202i	0.0839341	−	0.258323i	0.984212	+	0.176993i	$0.0566369\pi$
$348$	−6.92253	+	5.02951i	−0.371087	+	0.269610i
$349$	8.02964			0.429817			0.214908	−	0.976634i	$-0.431055\pi$
$349$	8.02964			0.429817			0.214908	+	0.976634i	$0.431055\pi$
$350$	−3.01792	−	3.98650i	−0.161314	−	0.213087i
$351$	26.6164			1.42068
$352$	4.39430	−	3.19265i	0.234217	−	0.170169i
$353$	−4.23456	+	13.0326i	−0.225383	+	0.693657i	0.772870	+	0.634565i	$0.218821\pi$
$353$	−4.23456	+	13.0326i	−0.225383	+	0.693657i	−0.998253	+	0.0590923i	$0.981179\pi$
$354$	−9.84084	+	30.2870i	−0.523035	+	1.60973i
$355$	13.1751	+	25.2408i	0.699261	+	1.33964i
$356$	3.11136	+	9.57577i	0.164901	+	0.507515i
$357$	7.03490			0.372326
$358$	5.66513	+	17.4355i	0.299412	+	0.921494i
$359$	−6.48442	−	4.71120i	−0.342234	−	0.248648i	0.403370	−	0.915037i	$-0.367839\pi$
$359$	−6.48442	−	4.71120i	−0.342234	−	0.248648i	−0.745604	+	0.666389i	$0.767839\pi$
$360$	−6.16560	−	11.8120i	−0.324956	−	0.622549i
$361$	15.3009	−	11.1167i	0.805309	−	0.585091i
$362$	−5.83073	−	4.23627i	−0.306456	−	0.222654i
$363$	44.8047	+	32.5525i	2.35164	+	1.70856i
$364$	2.43142	−	1.76653i	0.127441	−	0.0925913i
$365$	2.06015	−	13.8901i	0.107833	−	0.727040i
$366$	−5.93441	−	4.31160i	−0.310196	−	0.225371i
$367$	10.7021	+	32.9377i	0.558646	+	1.71934i	0.686115	+	0.727493i	$0.259315\pi$
$367$	10.7021	+	32.9377i	0.558646	+	1.71934i	−0.127469	+	0.991843i	$0.540685\pi$
$368$	4.66662			0.243264
$369$	−9.59350	−	29.5257i	−0.499417	−	1.53705i
$370$	−11.4499	+	11.6774i	−0.595255	+	0.607080i
$371$	4.22661	−	13.0082i	0.219435	−	0.675350i
$372$	−8.36885	+	25.7567i	−0.433904	+	1.33542i
$373$	15.5696	−	11.3120i	0.806162	−	0.585711i	−0.106553	−	0.994307i	$-0.533982\pi$
$373$	15.5696	−	11.3120i	0.806162	−	0.585711i	0.912715	+	0.408596i	$0.133982\pi$
$374$	12.7663			0.660129
$375$	−29.3557	+	16.0654i	−1.51592	+	0.829615i
$376$	−0.455083			−0.0234691
$377$	−6.95090	+	5.05013i	−0.357990	+	0.260095i
$378$	2.73671	−	8.42274i	0.140761	−	0.433219i
$379$	−7.50544	+	23.0994i	−0.385528	+	1.18653i	0.550568	+	0.834790i	$0.314411\pi$
$379$	−7.50544	+	23.0994i	−0.385528	+	1.18653i	−0.936096	+	0.351744i	$0.885589\pi$
$380$	0.462003	−	0.471181i	0.0237002	−	0.0241711i
$381$	11.9336	+	36.7279i	0.611378	+	1.88163i
$382$	5.83359			0.298473
$383$	−5.78219	−	17.7957i	−0.295456	−	0.909320i	−0.983068	−	0.183242i	$-0.941341\pi$
$383$	−5.78219	−	17.7957i	−0.295456	−	0.909320i	0.687612	−	0.726078i	$-0.258659\pi$
$384$	−2.42149	−	1.75932i	−0.123571	−	0.0897799i
$385$	1.78192	−	12.0141i	0.0908148	−	0.612297i
$386$	8.98173	−	6.52561i	0.457158	−	0.332145i
$387$	−42.3013	−	30.7337i	−2.15030	−	1.56228i
$388$	−5.51873	−	4.00959i	−0.280171	−	0.203556i
$389$	7.34403	−	5.33575i	0.372357	−	0.270533i	−0.385831	−	0.922570i	$-0.626085\pi$
$389$	7.34403	−	5.33575i	0.372357	−	0.270533i	0.758188	+	0.652036i	$0.226085\pi$
$390$	−9.30769	−	17.8316i	−0.471313	−	0.902940i
$391$	8.87344	+	6.44693i	0.448749	+	0.326035i
$392$	−0.309017	−	0.951057i	−0.0156077	−	0.0480356i
$393$	22.6127			1.14066
$394$	5.83559	+	17.9601i	0.293993	+	0.904816i
$395$	−12.8912	−	24.6968i	−0.648624	−	1.24263i
$396$	10.0018	−	30.7822i	0.502607	−	1.54687i
$397$	0.0613591	−	0.188844i	0.00307953	−	0.00947781i	−0.949505	−	0.313752i	$-0.898414\pi$
$397$	0.0613591	−	0.188844i	0.00307953	−	0.00947781i	0.952584	+	0.304274i	$0.0984139\pi$
$398$	−8.51075	+	6.18342i	−0.426605	+	0.309947i
$399$	0.883311			0.0442209
$400$	−2.85880	+	4.10211i	−0.142940	+	0.205105i
$401$	22.2568			1.11145			0.555726	−	0.831365i	$-0.312440\pi$
$401$	22.2568			1.11145			0.555726	+	0.831365i	$0.312440\pi$
$402$	12.0638	−	8.76484i	0.601686	−	0.437151i
$403$	−8.40315	+	25.8622i	−0.418591	+	1.28829i
$404$	−2.76732	+	8.51694i	−0.137679	+	0.423734i
$405$	−17.2818	−	8.59248i	−0.858738	−	0.426964i
$406$	0.883413	+	2.71887i	0.0438430	+	0.134935i
$407$	−39.7264			−1.96917
$408$	−2.17390	−	6.69059i	−0.107624	−	0.331233i
$409$	−15.7383	−	11.4345i	−0.778207	−	0.565401i	0.126233	−	0.992001i	$-0.459711\pi$
$409$	−15.7383	−	11.4345i	−0.778207	−	0.565401i	−0.904440	+	0.426600i	$0.859711\pi$
$410$	−8.15623	+	8.31826i	−0.402808	+	0.410810i
$411$	−7.41511	+	5.38739i	−0.365760	+	0.265741i
$412$	0.236654	+	0.171939i	0.0116591	+	0.00847082i
$413$	8.60759	+	6.25378i	0.423552	+	0.307728i
$414$	22.4968	−	16.3449i	1.10566	−	0.803308i
$415$	−34.8007	−	17.3029i	−1.70830	−	0.849364i
$416$	−2.43142	−	1.76653i	−0.119210	−	0.0866113i
$417$	−13.0574	−	40.1865i	−0.639423	−	1.96794i
$418$	1.60295			0.0784029
$419$	7.92075	+	24.3776i	0.386954	+	1.19092i	0.935053	+	0.354509i	$0.115352\pi$
$419$	7.92075	+	24.3776i	0.386954	+	1.19092i	−0.548099	+	0.836414i	$0.684648\pi$
$420$	−6.59983	+	1.11195i	−0.322039	+	0.0542577i
$421$	5.85118	−	18.0081i	0.285169	−	0.877661i	−0.701179	−	0.712986i	$-0.747342\pi$
$421$	5.85118	−	18.0081i	0.285169	−	0.877661i	0.986348	−	0.164675i	$-0.0526576\pi$
$422$	−2.77776	+	8.54906i	−0.135219	+	0.416162i
$423$	−2.19386	+	1.59393i	−0.106669	+	0.0774997i
$424$	−13.6776			−0.664243
$425$	−11.1030	+	3.85061i	−0.538574	+	0.186782i
$426$	38.1123			1.84655
$427$	−1.98268	+	1.44050i	−0.0959484	+	0.0697106i
$428$	0.557595	−	1.71610i	0.0269524	−	0.0829509i
$429$	15.0988	−	46.4694i	0.728978	−	2.24356i
$430$	−2.87865	+	19.4086i	−0.138821	+	0.935967i
$431$	−1.16044	−	3.57146i	−0.0558963	−	0.172031i	0.919211	−	0.393766i	$-0.128828\pi$
$431$	−1.16044	−	3.57146i	−0.0558963	−	0.172031i	−0.975107	+	0.221735i	$0.928828\pi$
$432$	−8.85619			−0.426094
$433$	3.64289	+	11.2117i	0.175066	+	0.538798i	0.999636	−	0.0269613i	$-0.00858308\pi$
$433$	3.64289	+	11.2117i	0.175066	+	0.538798i	−0.824570	+	0.565759i	$0.808583\pi$
$434$	7.32007	+	5.31834i	0.351374	+	0.255288i
$435$	18.8675	−	3.17883i	0.904627	−	0.152413i
$436$	−8.24970	+	5.99376i	−0.395089	+	0.287049i
$437$	1.11416	+	0.809485i	0.0532975	+	0.0387229i
$438$	−15.2065	−	11.0481i	−0.726593	−	0.527901i
$439$	−14.5284	+	10.5555i	−0.693403	+	0.503787i	−0.877777	−	0.479069i	$-0.840974\pi$
$439$	−14.5284	+	10.5555i	−0.693403	+	0.503787i	0.184374	+	0.982856i	$0.440974\pi$
$440$	−11.9768	+	2.01787i	−0.570970	+	0.0961981i
$441$	−4.82080	−	3.50252i	−0.229562	−	0.166786i
$442$	−2.18281	−	6.71801i	−0.103826	−	0.319543i
$443$	−15.0816			−0.716548			−0.358274	−	0.933617i	$-0.616635\pi$
$443$	−15.0816			−0.716548			−0.358274	+	0.933617i	$0.616635\pi$
$444$	6.76480	+	20.8199i	0.321043	+	0.988070i
$445$	3.30310	−	22.2704i	0.156582	−	1.05572i
$446$	4.31432	−	13.2781i	0.204289	−	0.628737i
$447$	−17.1861	+	52.8932i	−0.812873	+	2.50176i
$448$	−0.809017	+	0.587785i	−0.0382225	+	0.0277702i
$449$	11.7699			0.555455			0.277728	−	0.960660i	$-0.410419\pi$
$449$	11.7699			0.555455			0.277728	+	0.960660i	$0.410419\pi$
$450$	0.586000	+	29.7884i	0.0276243	+	1.40424i
$451$	−28.2986			−1.33253
$452$	−5.76197	+	4.18632i	−0.271020	+	0.196908i
$453$	−8.17188	+	25.1505i	−0.383949	+	1.18167i
$454$	6.00497	−	18.4814i	0.281827	−	0.867375i
$455$	−6.62688	+	1.11651i	−0.310673	+	0.0523428i
$456$	−0.272958	−	0.840079i	−0.0127824	−	0.0393403i
$457$	34.9538			1.63507			0.817535	−	0.575878i	$-0.195340\pi$
$457$	34.9538			1.63507			0.817535	+	0.575878i	$0.195340\pi$
$458$	0.350365	+	1.07831i	0.0163715	+	0.0503863i
$459$	−16.8398	−	12.2348i	−0.786014	−	0.571073i
$460$	−9.34368	−	4.64567i	−0.435651	−	0.216605i
$461$	0.149199	−	0.108399i	0.00694888	−	0.00504866i	−0.584305	−	0.811534i	$-0.698633\pi$
$461$	0.149199	−	0.108399i	0.00694888	−	0.00504866i	0.591254	+	0.806485i	$0.298633\pi$
$462$	−13.1527	−	9.55602i	−0.611920	−	0.444586i
$463$	14.3899	+	10.4549i	0.668755	+	0.485879i	0.869608	−	0.493742i	$-0.164371\pi$
$463$	14.3899	+	10.4549i	0.668755	+	0.485879i	−0.200853	+	0.979621i	$0.564371\pi$
$464$	2.31280	−	1.68035i	0.107369	−	0.0780083i
$465$	42.3974	−	43.2397i	1.96613	−	2.00519i
$466$	11.8455	+	8.60627i	0.548733	+	0.398678i
$467$	5.61517	+	17.2817i	0.259839	+	0.799703i	0.992838	+	0.119472i	$0.0381202\pi$
$467$	5.61517	+	17.2817i	0.259839	+	0.799703i	−0.732998	+	0.680230i	$0.761880\pi$
$468$	−17.9087			−0.827829
$469$	−1.53951	−	4.73812i	−0.0710879	−	0.218786i
$470$	0.911184	+	0.453039i	0.0420298	+	0.0208972i
$471$	3.24975	−	10.0017i	0.149740	−	0.460853i
$472$	3.28781	−	10.1188i	0.151334	−	0.465757i
$473$	−38.5589	+	28.0147i	−1.77294	+	1.28812i
$474$	−37.2910			−1.71283
$475$	−1.39410	+	0.483487i	−0.0639659	+	0.0221839i
$476$	−2.35035			−0.107728
$477$	−65.9369	+	47.9060i	−3.01905	+	2.19346i
$478$	−2.85321	+	8.78129i	−0.130503	+	0.401647i
$479$	4.03789	−	12.4274i	0.184496	−	0.567821i	−0.815443	−	0.578837i	$-0.803507\pi$
$479$	4.03789	−	12.4274i	0.184496	−	0.567821i	0.999939	+	0.0110164i	$0.00350671\pi$
$480$	3.09699	+	5.93320i	0.141358	+	0.270812i
$481$	6.79253	+	20.9053i	0.309713	+	0.953198i
$482$	−5.79038			−0.263744
$483$	−4.31629	−	13.2842i	−0.196398	−	0.604451i
$484$	−14.9692	−	10.8757i	−0.680416	−	0.494352i
$485$	7.05822	+	13.5221i	0.320497	+	0.614008i
$486$	0.593954	−	0.431533i	0.0269423	−	0.0195747i
$487$	−27.6029	−	20.0546i	−1.25080	−	0.908763i	−0.252536	−	0.967587i	$-0.581265\pi$
$487$	−27.6029	−	20.0546i	−1.25080	−	0.908763i	−0.998268	+	0.0588247i	$0.981265\pi$
$488$	1.98268	+	1.44050i	0.0897515	+	0.0652083i
$489$	−6.40986	+	4.65703i	−0.289864	+	0.210598i
$490$	−0.328061	+	2.21187i	−0.0148203	+	0.0999222i
$491$	11.0435	+	8.02359i	0.498388	+	0.362100i	0.808401	−	0.588633i	$-0.200333\pi$
$491$	11.0435	+	8.02359i	0.498388	+	0.362100i	−0.310013	+	0.950732i	$0.600333\pi$
$492$	4.81883	+	14.8308i	0.217249	+	0.668625i
$493$	6.71914			0.302615
$494$	−0.274077	−	0.843522i	−0.0123313	−	0.0379519i
$495$	−50.6699	+	51.6765i	−2.27744	+	2.32269i
$496$	2.79602	−	8.60525i	0.125545	−	0.386387i
$497$	3.93479	−	12.1100i	0.176500	−	0.543210i
$498$	−42.0877	+	30.5785i	−1.88600	+	1.37026i
$499$	−29.2318			−1.30859			−0.654297	−	0.756238i	$-0.727035\pi$
$499$	−29.2318			−1.30859			−0.654297	+	0.756238i	$0.727035\pi$
$500$	9.80768	−	5.36743i	0.438613	−	0.240039i
$501$	48.9319			2.18612
$502$	−17.4817	+	12.7012i	−0.780244	+	0.566881i
$503$	8.99961	−	27.6980i	0.401273	−	1.23499i	−0.522695	−	0.852520i	$-0.675073\pi$
$503$	8.99961	−	27.6980i	0.401273	−	1.23499i	0.923968	−	0.382471i	$-0.124927\pi$
$504$	−1.84138	+	5.66719i	−0.0820217	+	0.252437i
$505$	14.0195	−	14.2980i	0.623861	−	0.636255i
$506$	−7.83280	−	24.1069i	−0.348210	−	1.07168i
$507$	11.8755			0.527408
$508$	−3.98700	−	12.2707i	−0.176895	−	0.544426i
$509$	25.7823	+	18.7319i	1.14278	+	0.830278i	0.987504	−	0.157594i	$-0.0503736\pi$
$509$	25.7823	+	18.7319i	1.14278	+	0.830278i	0.155275	+	0.987871i	$0.450374\pi$
$510$	−2.30788	+	15.5603i	−0.102194	+	0.689021i
$511$	−5.08046	+	3.69117i	−0.224746	+	0.163288i
$512$	0.809017	+	0.587785i	0.0357538	+	0.0259767i
$513$	−2.11443	−	1.53622i	−0.0933542	−	0.0678258i
$514$	18.4284	−	13.3890i	0.812842	−	0.590564i
$515$	−0.302670	−	0.579854i	−0.0133372	−	0.0255514i
$516$	21.2480	+	15.4376i	0.935391	+	0.679602i
$517$	0.763844	+	2.35087i	0.0335938	+	0.103391i
$518$	7.31387			0.321353
$519$	9.62311	+	29.6169i	0.422408	+	1.30004i
$520$	3.10968	+	5.95752i	0.136369	+	0.261254i
$521$	3.07014	−	9.44893i	0.134505	−	0.413965i	−0.861007	−	0.508593i	$-0.830166\pi$
$521$	3.07014	−	9.44893i	0.134505	−	0.413965i	0.995513	+	0.0946274i	$0.0301660\pi$
$522$	5.26411	−	16.2013i	0.230404	−	0.709110i
$523$	−4.47686	+	3.25263i	−0.195759	+	0.142227i	−0.681347	−	0.731960i	$-0.738606\pi$
$523$	−4.47686	+	3.25263i	−0.195759	+	0.142227i	0.485588	+	0.874188i	$0.338606\pi$
$524$	−7.55486			−0.330036
$525$	14.3214	+	4.34381i	0.625037	+	0.189579i
$526$	−22.1288			−0.964863
$527$	17.2047	−	12.4999i	0.749449	−	0.544506i
$528$	−5.02389	+	15.4620i	−0.218637	+	0.672895i
$529$	−0.377828	+	1.16284i	−0.0164273	+	0.0505581i
$530$	27.3858	+	13.6162i	1.18956	+	0.591449i
$531$	−19.5915	−	60.2964i	−0.850199	−	2.61664i
$532$	−0.295113			−0.0127948
$533$	4.83858	+	14.8916i	0.209582	+	0.645027i
$534$	−24.3810	−	17.7138i	−1.05507	−	0.766551i
$535$	−2.82483	+	2.88095i	−0.122128	+	0.124554i
$536$	−4.03048	+	2.92832i	−0.174090	+	0.126484i
$537$	−44.3927	−	32.2532i	−1.91569	−	1.39183i
$538$	−5.93678	−	4.31332i	−0.255953	−	0.185961i
$539$	−4.39430	+	3.19265i	−0.189276	+	0.137517i
$540$	17.7322	+	8.81643i	0.763072	+	0.379399i
$541$	−19.0352	−	13.8299i	−0.818386	−	0.594592i	0.0978641	−	0.995200i	$-0.468799\pi$
$541$	−19.0352	−	13.8299i	−0.818386	−	0.594592i	−0.916250	+	0.400608i	$0.868799\pi$
$542$	−1.79626	−	5.52832i	−0.0771559	−	0.237462i
$543$	21.5720			0.925744
$544$	0.726297	+	2.23531i	0.0311397	+	0.0958383i
$545$	22.4847	−	3.78827i	0.963140	−	0.162272i
$546$	−2.77978	+	8.55528i	−0.118964	+	0.366132i
$547$	5.57755	−	17.1659i	0.238479	−	0.733962i	−0.758162	−	0.652066i	$-0.773902\pi$
$547$	5.57755	−	17.1659i	0.238479	−	0.733962i	0.996641	−	0.0818960i	$-0.0260975\pi$
$548$	2.47738	−	1.79992i	0.105828	−	0.0768887i
$549$	14.6034			0.623260
$550$	25.9891	+	7.88274i	1.10818	+	0.336121i
$551$	0.843663			0.0359413
$552$	−11.3002	+	8.21007i	−0.480968	+	0.349444i
$553$	−3.85000	+	11.8491i	−0.163719	+	0.503874i
$554$	1.46337	−	4.50378i	0.0621724	−	0.191347i
$555$	7.18170	−	48.4209i	0.304846	−	2.05535i
$556$	4.36245	+	13.4262i	0.185009	+	0.569400i
$557$	24.4288			1.03508			0.517542	−	0.855658i	$-0.326847\pi$
$557$	24.4288			1.03508			0.517542	+	0.855658i	$0.326847\pi$
$558$	−16.6610	−	51.2773i	−0.705317	−	2.17074i
$559$	21.3351	+	15.5009i	0.902379	+	0.655616i
$560$	2.20499	−	0.371501i	0.0931779	−	0.0156988i
$561$	−30.9135	+	22.4600i	−1.30517	+	0.948260i
$562$	−16.4490	−	11.9509i	−0.693860	−	0.504118i
$563$	30.0886	+	21.8606i	1.26808	+	0.921315i	0.999124	−	0.0418368i	$-0.0133210\pi$
$563$	30.0886	+	21.8606i	1.26808	+	0.921315i	0.268957	+	0.963152i	$0.413321\pi$
$564$	1.10198	−	0.800635i	0.0464017	−	0.0337128i
$565$	15.7044	−	2.64590i	0.660687	−	0.111314i
$566$	−19.0524	−	13.8424i	−0.800834	−	0.581840i
$567$	2.66720	+	8.20878i	0.112012	+	0.344737i
$568$	−12.7333			−0.534276
$569$	2.91352	+	8.96690i	0.122141	+	0.375912i	0.993369	−	0.114966i	$-0.0366760\pi$
$569$	2.91352	+	8.96690i	0.122141	+	0.375912i	−0.871228	+	0.490878i	$0.836676\pi$
$570$	−0.289780	+	1.95377i	−0.0121375	+	0.0818345i
$571$	−10.2492	+	31.5437i	−0.428914	+	1.32006i	0.470281	+	0.882517i	$0.344152\pi$
$571$	−10.2492	+	31.5437i	−0.428914	+	1.32006i	−0.899196	+	0.437546i	$0.855848\pi$
$572$	−5.04449	+	15.5253i	−0.210921	+	0.649147i
$573$	−14.1260	+	10.2632i	−0.590123	+	0.428749i
$574$	5.20994			0.217459
$575$	14.0835	+	18.6035i	0.587321	+	0.775818i
$576$	5.95884			0.248285
$577$	−26.2348	+	19.0607i	−1.09217	+	0.793506i	−0.979764	−	0.200156i	$-0.935855\pi$
$577$	−26.2348	+	19.0607i	−1.09217	+	0.793506i	−0.112404	+	0.993663i	$0.535855\pi$
$578$	3.54624	−	10.9142i	0.147504	−	0.453971i
$579$	−10.2686	+	31.6034i	−0.426748	+	1.31339i
$580$	−6.30359	+	1.06204i	−0.261742	+	0.0440989i
$581$	5.37099	+	16.5302i	0.222826	+	0.685789i
$582$	20.4177			0.846342
$583$	22.9575	+	70.6559i	0.950802	+	2.92627i
$584$	5.08046	+	3.69117i	0.210231	+	0.152742i
$585$	35.8575	+	17.8283i	1.48252	+	0.737109i
$586$	−10.6589	+	7.74414i	−0.440315	+	0.319907i
$587$	7.70358	+	5.59698i	0.317961	+	0.231012i	0.735305	−	0.677737i	$-0.237039\pi$
$587$	7.70358	+	5.59698i	0.317961	+	0.231012i	−0.417344	+	0.908749i	$0.637039\pi$
$588$	2.42149	+	1.75932i	0.0998607	+	0.0725531i
$589$	2.16024	−	1.56951i	0.0890113	−	0.0646705i
$590$	−16.6564	+	16.9873i	−0.685732	+	0.699354i
$591$	−45.7283	−	33.2236i	−1.88101	−	1.36664i
$592$	−2.26011	−	6.95590i	−0.0928899	−	0.285886i
$593$	18.3388			0.753085			0.376542	−	0.926399i	$-0.377113\pi$
$593$	18.3388			0.753085			0.376542	+	0.926399i	$0.377113\pi$
$594$	14.8649	+	45.7494i	0.609914	+	1.87712i
$595$	4.70596	+	2.33980i	0.192925	+	0.0959223i
$596$	5.74183	−	17.6715i	0.235195	−	0.723854i
$597$	9.73012	−	29.9462i	0.398227	−	1.22562i
$598$	−11.3465	+	8.24372i	−0.463993	+	0.337111i
$599$	44.2806			1.80926			0.904628	−	0.426202i	$-0.140149\pi$
$599$	44.2806			1.80926			0.904628	+	0.426202i	$0.140149\pi$
$600$	−0.294349	−	14.9628i	−0.0120167	−	0.610852i
$601$	2.20037			0.0897551			0.0448775	−	0.998992i	$-0.485710\pi$
$601$	2.20037			0.0897551			0.0448775	+	0.998992i	$0.485710\pi$
$602$	7.09892	−	5.15767i	0.289330	−	0.210211i
$603$	−9.17368	+	28.2337i	−0.373581	+	1.14976i
$604$	2.73021	−	8.40273i	0.111091	−	0.341902i
$605$	19.1449	+	36.6778i	0.778352	+	1.49116i
$606$	−8.28296	−	25.4923i	−0.336472	−	1.03555i
$607$	14.9587			0.607157			0.303578	−	0.952806i	$-0.401819\pi$
$607$	14.9587			0.607157			0.303578	+	0.952806i	$0.401819\pi$
$608$	0.0911948	+	0.280669i	0.00369844	+	0.0113826i
$609$	−6.92253	−	5.02951i	−0.280515	−	0.203806i
$610$	−2.53576	−	4.85799i	−0.102670	−	0.196694i
$611$	1.10650	−	0.803917i	0.0447641	−	0.0325230i
$612$	11.3306	+	8.23213i	0.458011	+	0.332764i
$613$	−32.3291	−	23.4885i	−1.30576	−	0.948691i	−0.305766	−	0.952107i	$-0.598913\pi$
$613$	−32.3291	−	23.4885i	−1.30576	−	0.948691i	−0.999994	+	0.00341598i	$0.998913\pi$
$614$	5.35073	−	3.88753i	0.215938	−	0.156888i
$615$	5.11580	−	34.4920i	0.206289	−	1.39085i
$616$	4.39430	+	3.19265i	0.177052	+	0.128635i
$617$	6.84164	+	21.0564i	0.275434	+	0.847699i	0.989104	+	0.147217i	$0.0470316\pi$
$617$	6.84164	+	21.0564i	0.275434	+	0.847699i	−0.713670	+	0.700482i	$0.752968\pi$
$618$	−0.875550			−0.0352198
$619$	−6.89480	−	21.2200i	−0.277126	−	0.852905i	−0.988649	−	0.150243i	$-0.951995\pi$
$619$	−6.89480	−	21.2200i	−0.277126	−	0.852905i	0.711524	−	0.702662i	$-0.248005\pi$
$620$	−14.1649	+	14.4463i	−0.568877	+	0.580178i
$621$	−12.7712	+	39.3057i	−0.512490	+	1.57728i
$622$	4.44504	−	13.6804i	0.178230	−	0.548536i
$623$	−8.14563	+	5.91815i	−0.326348	+	0.237106i
$624$	8.99556			0.360111
$625$	−24.9807	+	0.983223i	−0.999226	+	0.0393289i
$626$	−6.31602			−0.252439
$627$	−3.88154	+	2.82010i	−0.155014	+	0.112624i
$628$	−1.08573	+	3.34155i	−0.0433255	+	0.133342i
$629$	5.31204	−	16.3488i	0.211805	−	0.651869i
$630$	9.32863	−	9.51395i	0.371662	−	0.379045i
$631$	−9.87098	−	30.3797i	−0.392957	−	1.20940i	−0.930541	−	0.366188i	$-0.880663\pi$
$631$	−9.87098	−	30.3797i	−0.392957	−	1.20940i	0.537583	−	0.843211i	$-0.319337\pi$
$632$	12.4589			0.495586
$633$	−8.31420	−	25.5885i	−0.330460	−	1.01705i
$634$	21.1092	+	15.3368i	0.838355	+	0.609101i
$635$	−4.23272	+	28.5381i	−0.167970	+	1.13250i
$636$	33.1202	−	24.0632i	1.31330	−	0.954170i
$637$	2.43142	+	1.76653i	0.0963364	+	0.0699925i
$638$	−12.5624	−	9.12709i	−0.497349	−	0.361345i
$639$	−61.3845	+	44.5985i	−2.42833	+	1.76429i
$640$	−1.03470	−	1.98227i	−0.0409001	−	0.0783561i
$641$	14.7720	+	10.7325i	0.583461	+	0.423909i	0.839970	−	0.542633i	$-0.182572\pi$
$641$	14.7720	+	10.7325i	0.583461	+	0.423909i	−0.256509	+	0.966542i	$0.582572\pi$
$642$	1.66896	+	5.13652i	0.0658684	+	0.202722i
$643$	22.9809			0.906280			0.453140	−	0.891439i	$-0.350304\pi$
$643$	22.9809			0.906280			0.453140	+	0.891439i	$0.350304\pi$
$644$	1.44206	+	4.43822i	0.0568253	+	0.174890i
$645$	−27.1753	−	52.0623i	−1.07003	−	2.04995i
$646$	−0.214340	+	0.659669i	−0.00843308	+	0.0259543i
$647$	−11.6556	+	35.8723i	−0.458230	+	1.41029i	0.409071	+	0.912503i	$0.365853\pi$
$647$	−11.6556	+	35.8723i	−0.458230	+	1.41029i	−0.867301	+	0.497784i	$0.834147\pi$
$648$	6.98281	−	5.07331i	0.274311	−	0.199298i
$649$	−57.7905			−2.26847
$650$	−0.295555	−	15.0241i	−0.0115926	−	0.589293i
$651$	−27.0822			−1.06143
$652$	2.14152	−	1.55591i	0.0838685	−	0.0609340i
$653$	−0.301756	+	0.928709i	−0.0118086	+	0.0363432i	−0.956787	−	0.290789i	$-0.906082\pi$
$653$	−0.301756	+	0.928709i	−0.0118086	+	0.0363432i	0.944979	+	0.327132i	$0.106082\pi$
$654$	9.43168	−	29.0277i	0.368808	−	1.13507i
$655$	15.1266	+	7.52095i	0.591047	+	0.293868i
$656$	−1.60996	−	4.95495i	−0.0628584	−	0.193458i
$657$	37.4202			1.45990
$658$	−0.140628	−	0.432809i	−0.00548226	−	0.0168727i
$659$	−14.7636	−	10.7264i	−0.575107	−	0.417840i	0.261850	−	0.965109i	$-0.415668\pi$
$659$	−14.7636	−	10.7264i	−0.575107	−	0.417840i	−0.836957	+	0.547269i	$0.815668\pi$
$660$	25.4516	−	25.9572i	0.990701	−	1.01038i
$661$	−18.5813	+	13.5001i	−0.722729	+	0.525093i	−0.887255	−	0.461280i	$-0.847390\pi$
$661$	−18.5813	+	13.5001i	−0.722729	+	0.525093i	0.164526	+	0.986373i	$0.447390\pi$
$662$	25.3691	+	18.4317i	0.985997	+	0.716369i
$663$	17.1048	+	12.4274i	0.664295	+	0.482639i
$664$	14.0614	−	10.2162i	0.545690	−	0.396467i
$665$	0.590886	+	0.293788i	0.0229136	+	0.0113926i
$666$	−35.2587	−	25.6169i	−1.36625	−	0.992636i
$667$	−4.12255	−	12.6879i	−0.159626	−	0.491278i
$668$	−16.3481			−0.632526
$669$	12.9133	+	39.7432i	0.499258	+	1.53656i
$670$	10.9852	−	1.85080i	0.424394	−	0.0715027i
$671$	4.11347	−	12.6600i	0.158799	−	0.488733i
$672$	0.924929	−	2.84664i	0.0356799	−	0.109811i
$673$	17.6857	−	12.8494i	0.681735	−	0.495309i	−0.192198	−	0.981356i	$-0.561562\pi$
$673$	17.6857	−	12.8494i	0.681735	−	0.495309i	0.873933	+	0.486047i	$0.161562\pi$
$674$	11.0066			0.423960
$675$	−26.7272	−	35.3052i	−1.02873	−	1.35890i
$676$	−3.96757			−0.152599
$677$	−17.6591	+	12.8301i	−0.678695	+	0.493101i	−0.872924	−	0.487855i	$-0.837779\pi$
$677$	−17.6591	+	12.8301i	−0.678695	+	0.493101i	0.194229	+	0.980956i	$0.437779\pi$
$678$	6.58751	−	20.2743i	0.252992	−	0.778629i
$679$	2.10797	−	6.48766i	0.0808964	−	0.248973i
$680$	0.771058	−	5.19867i	0.0295687	−	0.199360i
$681$	17.9737	+	55.3172i	0.688752	+	2.11976i
$682$	−49.1462			−1.88190
$683$	−6.96501	−	21.4361i	−0.266509	−	0.820229i	−0.991342	−	0.131305i	$-0.958083\pi$
$683$	−6.96501	−	21.4361i	−0.266509	−	0.820229i	0.724833	−	0.688924i	$-0.241917\pi$
$684$	1.42268	+	1.03364i	0.0543975	+	0.0395221i
$685$	−6.75213	+	1.13761i	−0.257986	+	0.0434660i
$686$	0.809017	−	0.587785i	0.0308884	−	0.0224417i
$687$	−2.74550	−	1.99473i	−0.104748	−	0.0761035i
$688$	−7.09892	−	5.15767i	−0.270644	−	0.196634i
$689$	33.2560	−	24.1619i	1.26695	−	0.920494i
$690$	30.7989	−	5.18906i	1.17249	−	0.197544i
$691$	−8.19943	−	5.95724i	−0.311921	−	0.226624i	0.420799	−	0.907154i	$-0.361750\pi$
$691$	−8.19943	−	5.95724i	−0.311921	−	0.226624i	−0.732720	+	0.680530i	$0.761750\pi$
$692$	−3.21507	−	9.89495i	−0.122218	−	0.376150i
$693$	32.3664			1.22950
$694$	−1.56352	−	4.81202i	−0.0593504	−	0.182662i
$695$	4.63130	−	31.2254i	0.175675	−	1.18445i
$696$	−2.64417	+	8.13792i	−0.100227	+	0.308467i
$697$	3.78397	−	11.6459i	0.143328	−	0.441118i
$698$	6.49611	−	4.71970i	0.245881	−	0.178643i
$699$	−43.8250			−1.65761
$700$	−4.78475	−	1.45126i	−0.180847	−	0.0548524i
$701$	−21.1569			−0.799086			−0.399543	−	0.916714i	$-0.630831\pi$
$701$	−21.1569			−0.799086			−0.399543	+	0.916714i	$0.630831\pi$
$702$	21.5331	−	15.6447i	0.812715	−	0.590472i
$703$	0.666987	−	2.05277i	0.0251559	−	0.0774219i
$704$	1.67847	−	5.16581i	0.0632599	−	0.194694i
$705$	−3.00347	+	0.506030i	−0.113117	+	0.0190582i
$706$	4.23456	+	13.0326i	0.159370	+	0.490490i
$707$	−8.95524			−0.336796
$708$	9.84084	+	30.2870i	0.369841	+	1.13825i
$709$	−39.4367	−	28.6525i	−1.48108	−	1.07607i	−0.977208	−	0.212286i	$-0.931909\pi$
$709$	−39.4367	−	28.6525i	−1.48108	−	1.07607i	−0.503870	−	0.863780i	$-0.668091\pi$
$710$	25.4950	+	12.6761i	0.956811	+	0.475725i
$711$	60.0616	−	43.6373i	2.25249	−	1.63653i
$712$	8.14563	+	5.91815i	0.305271	+	0.221792i
$713$	−34.1600	−	24.8187i	−1.27930	−	0.929466i
$714$	5.69135	−	4.13501i	0.212994	−	0.154749i
$715$	25.5559	−	26.0636i	0.955737	−	0.974723i
$716$	14.8315	+	10.7757i	0.554280	+	0.402708i
$717$	−8.54005	−	26.2836i	−0.318934	−	0.981578i
$718$	−8.01518			−0.299124
$719$	−3.24588	−	9.98980i	−0.121051	−	0.372557i	0.872110	−	0.489310i	$-0.162751\pi$
$719$	−3.24588	−	9.98980i	−0.121051	−	0.372557i	−0.993161	+	0.116753i	$0.962751\pi$
$720$	−11.9310	−	5.93208i	−0.444643	−	0.221076i
$721$	−0.0903936	+	0.278203i	−0.00336643	+	0.0103608i
$722$	5.84441	−	17.9872i	0.217506	−	0.669416i
$723$	14.0214	−	10.1871i	0.521460	−	0.378863i
$724$	−7.20718			−0.267853
$725$	13.6786	+	4.14883i	0.508009	+	0.154084i
$726$	55.3816			2.05540
$727$	−8.35642	+	6.07130i	−0.309923	+	0.225172i	−0.731863	−	0.681452i	$-0.761349\pi$
$727$	−8.35642	+	6.07130i	−0.309923	+	0.225172i	0.421941	+	0.906623i	$0.361349\pi$
$728$	0.928720	−	2.85831i	0.0344206	−	0.105936i
$729$	−8.68064	+	26.7163i	−0.321505	+	0.989491i
$730$	−6.49769	−	12.4482i	−0.240490	−	0.460730i
$731$	−6.37308	−	19.6143i	−0.235717	−	0.725462i
$732$	−7.33533			−0.271122
$733$	3.20188	+	9.85438i	0.118264	+	0.363980i	0.992614	−	0.121317i	$-0.0387116\pi$
$733$	3.20188	+	9.85438i	0.118264	+	0.363980i	−0.874350	+	0.485297i	$0.838712\pi$
$734$	28.0185	+	20.3566i	1.03418	+	0.751377i
$735$	−3.09699	−	5.93320i	−0.114234	−	0.218849i
$736$	3.77537	−	2.74297i	0.139162	−	0.101107i
$737$	21.8922	+	15.9056i	0.806410	+	0.585891i
$738$	−25.1161	−	18.2479i	−0.924536	−	0.671715i
$739$	0.891223	−	0.647511i	0.0327842	−	0.0238191i	−0.571273	−	0.820760i	$-0.693550\pi$
$739$	0.891223	−	0.647511i	0.0327842	−	0.0238191i	0.604057	+	0.796941i	$0.293550\pi$
$740$	−2.39939	+	16.1773i	−0.0882035	+	0.594691i
$741$	2.14770	+	1.56040i	0.0788977	+	0.0573226i
$742$	−4.22661	−	13.0082i	−0.155164	−	0.477545i
$743$	−30.5300			−1.12004			−0.560019	−	0.828480i	$-0.689206\pi$
$743$	−30.5300			−1.12004			−0.560019	+	0.828480i	$0.689206\pi$
$744$	8.36885	+	25.7567i	0.306817	+	0.944285i
$745$	−29.0887	+	29.6666i	−1.06573	+	1.08690i
$746$	5.94705	−	18.3031i	0.217737	−	0.670125i
$747$	32.0049	−	98.5008i	1.17100	−	3.60396i
$748$	10.3281	−	7.50383i	0.377634	−	0.274367i
$749$	1.80442			0.0659319
$750$	−14.3062	+	30.2520i	−0.522390	+	1.10465i
$751$	8.98709			0.327944			0.163972	−	0.986465i	$-0.447569\pi$
$751$	8.98709			0.327944			0.163972	+	0.986465i	$0.447569\pi$
$752$	−0.368170	+	0.267491i	−0.0134258	+	0.00975439i
$753$	19.9863	−	61.5116i	0.728342	−	2.24161i
$754$	−2.65501	+	8.17128i	−0.0966897	+	0.297580i
$755$	−13.8315	+	14.1063i	−0.503381	+	0.513381i
$756$	−2.73671	−	8.42274i	−0.0995333	−	0.306332i
$757$	−3.15140			−0.114540			−0.0572698	−	0.998359i	$-0.518240\pi$
$757$	−3.15140			−0.114540			−0.0572698	+	0.998359i	$0.518240\pi$
$758$	7.50544	+	23.0994i	0.272610	+	0.839007i
$759$	61.3788	+	44.5943i	2.22791	+	1.61867i
$760$	0.0968150	−	0.652751i	0.00351185	−	0.0236778i
$761$	−38.6892	+	28.1093i	−1.40248	+	1.01896i	−0.408119	+	0.912929i	$0.633815\pi$
$761$	−38.6892	+	28.1093i	−1.40248	+	1.01896i	−0.994363	+	0.106033i	$0.966185\pi$
$762$	31.2426	+	22.6991i	1.13180	+	0.822302i
$763$	−8.24970	−	5.99376i	−0.298659	−	0.216989i
$764$	4.71948	−	3.42890i	0.170745	−	0.124053i
$765$	−14.4913	−	27.7624i	−0.523934	−	1.00375i
$766$	−15.1380	−	10.9984i	−0.546957	−	0.397388i
$767$	9.88117	+	30.4111i	0.356788	+	1.09808i
$768$	−2.99313			−0.108005
$769$	7.61862	+	23.4477i	0.274734	+	0.845545i	0.989290	+	0.145966i	$0.0466291\pi$
$769$	7.61862	+	23.4477i	0.274734	+	0.845545i	−0.714555	+	0.699579i	$0.753371\pi$
$770$	−5.62013	−	10.7670i	−0.202535	−	0.388016i
$771$	−21.0687	+	64.8429i	−0.758772	+	2.33526i
$772$	3.43071	−	10.5587i	0.123474	−	0.380014i
$773$	25.1057	−	18.2403i	0.902989	−	0.656060i	−0.0362433	−	0.999343i	$-0.511539\pi$
$773$	25.1057	−	18.2403i	0.902989	−	0.656060i	0.939232	+	0.343283i	$0.111539\pi$
$774$	−52.2873			−1.87943
$775$	42.7430	−	14.8236i	1.53537	−	0.532481i
$776$	−6.82153			−0.244879
$777$	−17.7105	+	12.8674i	−0.635360	+	0.461616i
$778$	2.80517	−	8.63342i	0.100570	−	0.309523i
$779$	0.475120	−	1.46227i	0.0170229	−	0.0523912i
$780$	−18.0113	−	8.95517i	−0.644906	−	0.320647i
$781$	21.3725	+	65.7776i	0.764766	+	2.35371i
$782$	10.9682			0.392221
$783$	7.82367	+	24.0788i	0.279595	+	0.860505i
$784$	−0.809017	−	0.587785i	−0.0288935	−	0.0209923i
$785$	5.50044	−	5.60971i	0.196319	−	0.200219i
$786$	18.2941	−	13.2914i	0.652528	−	0.474089i
$787$	−23.4908	−	17.0671i	−0.837356	−	0.608375i	0.0842747	−	0.996443i	$-0.473143\pi$
$787$	−23.4908	−	17.0671i	−0.837356	−	0.608375i	−0.921631	+	0.388068i	$0.873143\pi$
$788$	15.2778	+	11.0999i	0.544248	+	0.395419i
$789$	53.5848	−	38.9317i	1.90767	−	1.38600i
$790$	−24.9456	−	12.4029i	−0.887524	−	0.441276i
$791$	−5.76197	−	4.18632i	−0.204872	−	0.148848i
$792$	−10.0018	−	30.7822i	−0.355397	−	1.09380i
$793$	−7.36540			−0.261553
$794$	−0.0613591	−	0.188844i	−0.00217755	−	0.00670182i
$795$	−90.2698	+	15.2088i	−3.20154	+	0.539402i
$796$	−3.25082	+	10.0050i	−0.115222	+	0.354617i
$797$	−7.61530	+	23.4375i	−0.269748	+	0.830198i	0.720814	+	0.693129i	$0.243768\pi$
$797$	−7.61530	+	23.4375i	−0.269748	+	0.830198i	−0.990561	+	0.137069i	$0.956232\pi$
$798$	0.714614	−	0.519197i	0.0252971	−	0.0183794i
$799$	−1.06960			−0.0378398
$800$	0.0983414	+	4.99903i	0.00347689	+	0.176742i
$801$	59.9969			2.11989
$802$	18.0062	−	13.0822i	0.635819	−	0.461950i
$803$	10.5405	−	32.4402i	0.371965	−	1.14479i
$804$	4.60795	−	14.1818i	0.162510	−	0.500154i
$805$	1.53094	−	10.3220i	0.0539584	−	0.363801i
$806$	8.40315	+	25.8622i	0.295988	+	0.910958i
$807$	21.9644			0.773183
$808$	2.76732	+	8.51694i	0.0973540	+	0.299625i
$809$	27.3897	+	19.8998i	0.962969	+	0.699638i	0.953838	−	0.300320i	$-0.0970935\pi$
$809$	27.3897	+	19.8998i	0.962969	+	0.699638i	0.00913091	+	0.999958i	$0.497094\pi$
$810$	−19.0318	+	3.20651i	−0.668709	+	0.112665i
$811$	−21.8032	+	15.8410i	−0.765614	+	0.556251i	−0.900627	−	0.434593i	$-0.856892\pi$
$811$	−21.8032	+	15.8410i	−0.765614	+	0.556251i	0.135013	+	0.990844i	$0.456892\pi$
$812$	2.31280	+	1.68035i	0.0811635	+	0.0589688i
$813$	14.0757	+	10.2266i	0.493656	+	0.358662i
$814$	−32.1393	+	23.3506i	−1.12648	+	0.818438i
$815$	−5.83676	+	0.983389i	−0.204453	+	0.0344466i
$816$	−5.69135	−	4.13501i	−0.199237	−	0.144754i
$817$	−0.800212	−	2.46280i	−0.0279959	−	0.0861624i
$818$	−19.4536			−0.680178
$819$	−5.53409	−	17.0322i	−0.193377	−	0.595152i
$820$	−1.70918	+	11.5237i	−0.0596871	+	0.402426i
$821$	−0.315876	+	0.972166i	−0.0110241	+	0.0339288i	−0.956417	−	0.292003i	$-0.905678\pi$
$821$	−0.315876	+	0.972166i	−0.0110241	+	0.0339288i	0.945393	+	0.325932i	$0.105678\pi$
$822$	−2.83232	+	8.71699i	−0.0987885	+	0.304040i
$823$	8.72520	−	6.33923i	0.304141	−	0.220972i	−0.425237	−	0.905082i	$-0.639809\pi$
$823$	8.72520	−	6.33923i	0.304141	−	0.220972i	0.729379	+	0.684110i	$0.239809\pi$
$824$	0.292520			0.0101904
$825$	−76.8008	+	26.6352i	−2.67386	+	0.927317i
$826$	10.6396			0.370198
$827$	3.91777	−	2.84643i	0.136234	−	0.0989799i	−0.517581	−	0.855634i	$-0.673167\pi$
$827$	3.91777	−	2.84643i	0.136234	−	0.0989799i	0.653815	+	0.756654i	$0.273167\pi$
$828$	8.59303	−	26.4466i	0.298628	−	0.919083i
$829$	−2.95365	+	9.09041i	−0.102585	+	0.315723i	−0.989156	−	0.146869i	$-0.953080\pi$
$829$	−2.95365	+	9.09041i	−0.102585	+	0.315723i	0.886571	+	0.462592i	$0.153080\pi$
$830$	−38.3247	+	6.45702i	−1.33027	+	0.224127i
$831$	4.38005	+	13.4804i	0.151942	+	0.467630i
$832$	−3.00540			−0.104194
$833$	−0.726297	−	2.23531i	−0.0251647	−	0.0774490i
$834$	−34.1847	−	24.8366i	−1.18372	−	0.860022i
$835$	32.7327	+	16.2747i	1.13276	+	0.563209i
$836$	1.29681	−	0.942191i	0.0448513	−	0.0325864i
$837$	64.8279	+	47.1002i	2.24078	+	1.62802i
$838$	20.7368	+	15.0662i	0.716341	+	0.520452i
$839$	34.8071	−	25.2889i	1.20168	−	0.873068i	0.207227	−	0.978293i	$-0.433556\pi$
$839$	34.8071	−	25.2889i	1.20168	−	0.873068i	0.994448	+	0.105225i	$0.0335562\pi$
$840$	−4.68578	+	4.77887i	−0.161675	+	0.164887i
$841$	16.8497	+	12.2420i	0.581024	+	0.422138i
$842$	−5.85118	−	18.0081i	−0.201645	−	0.620600i
$843$	60.8566			2.09601
$844$	2.77776	+	8.54906i	0.0956144	+	0.294271i
$845$	7.94402	+	3.94976i	0.273283	+	0.135876i
$846$	−0.837981	+	2.57904i	−0.0288104	+	0.0886692i
$847$	5.71771	−	17.5973i	0.196463	−	0.604651i
$848$	−11.0654	+	8.03949i	−0.379988	+	0.276077i
$849$	70.4886			2.41916
$850$	−6.71917	+	9.64138i	−0.230466	+	0.330696i
$851$	−34.1310			−1.17000
$852$	30.8335	−	22.4019i	1.05634	−	0.767475i
$853$	−2.36165	+	7.26840i	−0.0808612	+	0.248865i	−0.983312	−	0.181928i	$-0.941766\pi$
$853$	−2.36165	+	7.26840i	−0.0808612	+	0.248865i	0.902451	+	0.430793i	$0.141766\pi$
$854$	−0.757315	+	2.33077i	−0.0259148	+	0.0797575i
$855$	−1.81955	−	3.48588i	−0.0622272	−	0.119215i
$856$	−0.557595	−	1.71610i	−0.0190582	−	0.0586551i
$857$	11.7005			0.399682			0.199841	−	0.979828i	$-0.435957\pi$
$857$	11.7005			0.399682			0.199841	+	0.979828i	$0.435957\pi$
$858$	−15.0988	−	46.4694i	−0.515465	−	1.58644i
$859$	−19.5786	−	14.2247i	−0.668013	−	0.485340i	0.201346	−	0.979520i	$-0.435468\pi$
$859$	−19.5786	−	14.2247i	−0.668013	−	0.485340i	−0.869360	+	0.494180i	$0.835468\pi$
$860$	9.07922	+	17.3939i	0.309599	+	0.593128i
$861$	−12.6158	+	9.16595i	−0.429947	+	0.312375i
$862$	−3.03806	−	2.20728i	−0.103477	−	0.0751804i
$863$	−18.6068	−	13.5187i	−0.633384	−	0.460180i	0.224187	−	0.974546i	$-0.428027\pi$
$863$	−18.6068	−	13.5187i	−0.633384	−	0.460180i	−0.857571	+	0.514366i	$0.828027\pi$
$864$	−7.16481	+	5.20554i	−0.243752	+	0.177096i
$865$	−3.41320	+	23.0127i	−0.116052	+	0.782455i
$866$	9.53721	+	6.92919i	0.324088	+	0.235463i
$867$	10.6144	+	32.6676i	0.360482	+	1.10945i
$868$	9.04810			0.307113
$869$	−20.9119	−	64.3601i	−0.709386	−	2.18327i
$870$	13.3956	−	13.6618i	0.454155	−	0.463177i
$871$	4.62684	−	14.2399i	0.156774	−	0.482502i
$872$	−3.15111	+	9.69811i	−0.106710	+	0.328419i
$873$	−32.8852	+	23.8925i	−1.11300	+	0.808639i
$874$	1.37718			0.0465837
$875$	8.13547	+	7.66904i	0.275029	+	0.259261i
$876$	−18.7962			−0.635066
$877$	1.66165	−	1.20726i	0.0561098	−	0.0407662i	−0.559377	−	0.828914i	$-0.688960\pi$
$877$	1.66165	−	1.20726i	0.0561098	−	0.0407662i	0.615487	+	0.788147i	$0.288960\pi$
$878$	−5.54936	+	17.0792i	−0.187282	+	0.576394i
$879$	12.1860	−	37.5048i	0.411025	−	1.26500i
$880$	−8.50333	+	8.67225i	−0.286647	+	0.292342i
$881$	−3.08433	−	9.49258i	−0.103914	−	0.319813i	0.885560	−	0.464524i	$-0.153775\pi$
$881$	−3.08433	−	9.49258i	−0.103914	−	0.319813i	−0.989474	+	0.144711i	$0.953775\pi$
$882$	−5.95884			−0.200644
$883$	6.94898	+	21.3868i	0.233852	+	0.719722i	0.997272	+	0.0738192i	$0.0235188\pi$
$883$	6.94898	+	21.3868i	0.233852	+	0.719722i	−0.763420	+	0.645903i	$0.776481\pi$
$884$	−5.71468	−	4.15196i	−0.192206	−	0.139645i
$885$	10.4473	−	70.4384i	0.351182	−	2.36776i
$886$	−12.2013	+	8.86473i	−0.409909	+	0.297817i
$887$	−1.39206	−	1.01139i	−0.0467409	−	0.0339592i	0.564170	−	0.825659i	$-0.309196\pi$
$887$	−1.39206	−	1.01139i	−0.0467409	−	0.0339592i	−0.610910	+	0.791700i	$0.709196\pi$
$888$	17.7105	+	12.8674i	0.594325	+	0.431802i
$889$	10.4381	−	7.58373i	0.350083	−	0.254350i
$890$	−10.4179	−	19.9586i	−0.349210	−	0.669014i
$891$	−37.9282	−	27.5565i	−1.27064	−	0.923176i
$892$	−4.31432	−	13.2781i	−0.144454	−	0.444584i
$893$	−0.134301			−0.00449420
$894$	17.1861	+	52.8932i	0.574788	+	1.76901i
$895$	−18.9689	−	36.3405i	−0.634060	−	1.21473i
$896$	−0.309017	+	0.951057i	−0.0103235	+	0.0317726i
$897$	12.9722	−	39.9242i	0.433128	−	1.33303i
$898$	9.52204	−	6.91817i	0.317755	−	0.230862i
$899$	−25.8666			−0.862698
$900$	17.9833	+	23.7549i	0.599443	+	0.791830i
$901$	−32.1471			−1.07097
$902$	−22.8941	+	16.6335i	−0.762289	+	0.553835i
$903$	−8.11602	+	24.9785i	−0.270084	+	0.831233i
$904$	−2.20088	+	6.77360i	−0.0732001	+	0.225287i
$905$	14.4305	+	7.17482i	0.479686	+	0.238499i
$906$	8.17188	+	25.1505i	0.271493	+	0.835568i
$907$	−19.1823			−0.636939			−0.318469	−	0.947933i	$-0.603169\pi$
$907$	−19.1823			−0.636939			−0.318469	+	0.947933i	$0.603169\pi$
$908$	−6.00497	−	18.4814i	−0.199282	−	0.613326i
$909$	43.1714	+	31.3659i	1.43191	+	1.04034i
$910$	−4.70499	+	4.79846i	−0.155969	+	0.159067i
$911$	−10.9986	+	7.99092i	−0.364398	+	0.264751i	−0.754884	−	0.655858i	$-0.772307\pi$
$911$	−10.9986	+	7.99092i	−0.364398	+	0.264751i	0.390486	+	0.920609i	$0.372307\pi$
$912$	−0.714614	−	0.519197i	−0.0236632	−	0.0171923i
$913$	−76.3769	−	55.4911i	−2.52771	−	1.83649i
$914$	28.2782	−	20.5453i	0.935361	−	0.679580i
$915$	14.6871	+	7.30240i	0.485540	+	0.241410i
$916$	0.917268	+	0.666434i	0.0303074	+	0.0220196i
$917$	−2.33458	−	7.18510i	−0.0770947	−	0.237273i
$918$	−20.8151			−0.687001
$919$	8.50047	+	26.1618i	0.280405	+	0.862997i	0.987739	+	0.156117i	$0.0498978\pi$
$919$	8.50047	+	26.1618i	0.280405	+	0.862997i	−0.707334	+	0.706880i	$0.750102\pi$
$920$	−10.2899	+	1.73365i	−0.339246	+	0.0571569i
$921$	−6.11735	+	18.8273i	−0.201574	+	0.620380i
$922$	0.0569888	−	0.175394i	0.00187683	−	0.00577628i
$923$	30.9599	−	22.4937i	1.01906	−	0.740389i
$924$	−16.2577			−0.534838
$925$	20.9089	−	30.0023i	0.687479	−	0.986468i
$926$	17.7869			0.584513
$927$	1.41018	−	1.02456i	0.0463164	−	0.0336508i
$928$	0.883413	−	2.71887i	0.0289994	−	0.0892511i
$929$	−2.13818	+	6.58063i	−0.0701513	+	0.215904i	−0.979986	−	0.199068i	$-0.936209\pi$
$929$	−2.13818	+	6.58063i	−0.0701513	+	0.215904i	0.909834	+	0.414972i	$0.136209\pi$
$930$	8.88460	−	59.9022i	0.291338	−	1.96427i
$931$	−0.0911948	−	0.280669i	−0.00298879	−	0.00919855i
$932$	14.6419			0.479610
$933$	13.3046	+	40.9474i	0.435573	+	1.34056i
$934$	14.7007	+	10.6807i	0.481022	+	0.349483i
$935$	−28.1495	+	4.74269i	−0.920588	+	0.155103i
$936$	−14.4884	+	10.5265i	−0.473569	+	0.344068i
$937$	33.1303	+	24.0705i	1.08232	+	0.786351i	0.978086	−	0.208202i	$-0.0667613\pi$
$937$	33.1303	+	24.0705i	1.08232	+	0.786351i	0.104233	+	0.994553i	$0.466761\pi$
$938$	−4.03048	−	2.92832i	−0.131600	−	0.0956130i
$939$	15.2942	−	11.1119i	0.499107	−	0.362623i
$940$	1.00345	−	0.169064i	0.0327290	−	0.00551425i
$941$	31.2170	+	22.6805i	1.01765	+	0.739362i	0.965799	−	0.259293i	$-0.0834894\pi$
$941$	31.2170	+	22.6805i	1.01765	+	0.739362i	0.0518463	+	0.998655i	$0.483489\pi$
$942$	−3.24975	−	10.0017i	−0.105882	−	0.325873i
$943$	−24.3128			−0.791734
$944$	−3.28781	−	10.1188i	−0.107009	−	0.329340i
$945$	−2.90537	+	19.5888i	−0.0945117	+	0.637222i
$946$	−14.7282	+	45.3287i	−0.478855	+	1.47376i
$947$	10.6849	−	32.8849i	0.347214	−	1.06861i	−0.613174	−	0.789948i	$-0.710108\pi$
$947$	10.6849	−	32.8849i	0.347214	−	1.06861i	0.960388	−	0.278666i	$-0.0898924\pi$
$948$	−30.1690	+	21.9191i	−0.979845	+	0.711899i
$949$	−18.8733			−0.612652
$950$	−0.843668	+	1.21058i	−0.0273722	+	0.0392765i
$951$	−78.0982			−2.53251
$952$	−1.90147	+	1.38150i	−0.0616270	+	0.0447747i
$953$	−0.677319	+	2.08457i	−0.0219405	+	0.0675259i	−0.961427	−	0.275059i	$-0.911303\pi$
$953$	−0.677319	+	2.08457i	−0.0219405	+	0.0675259i	0.939487	+	0.342585i	$0.111303\pi$
$954$	−25.1857	+	77.5135i	−0.815416	+	2.50959i
$955$	−12.8630	+	2.16719i	−0.416238	+	0.0701285i
$956$	2.85321	+	8.78129i	0.0922796	+	0.284007i
$957$	46.4772			1.50239
$958$	−4.03789	−	12.4274i	−0.130458	−	0.401510i
$959$	2.47738	+	1.79992i	0.0799986	+	0.0581224i
$960$	5.99296	+	2.97969i	0.193422	+	0.0961692i
$961$	−41.1532	+	29.8995i	−1.32752	+	0.964501i
$962$	17.7831	+	12.9202i	0.573349	+	0.416563i
$963$	−8.69873	−	6.31999i	−0.280313	−	0.203659i
$964$	−4.68451	+	3.40350i	−0.150878	+	0.109619i
$965$	−17.3804	+	17.7256i	−0.559494	+	0.570608i
$966$	−11.3002	−	8.21007i	−0.363578	−	0.264155i
$967$	12.1980	+	37.5415i	0.392261	+	1.20725i	0.931074	+	0.364829i	$0.118873\pi$
$967$	12.1980	+	37.5415i	0.392261	+	1.20725i	−0.538814	+	0.842425i	$0.681127\pi$
$968$	−18.5029			−0.594706
$969$	−0.641547	−	1.97448i	−0.0206094	−	0.0634294i
$970$	13.6583	+	6.79090i	0.438542	+	0.218043i
$971$	12.0390	−	37.0522i	0.386350	−	1.18906i	−0.549147	−	0.835726i	$-0.685047\pi$
$971$	12.0390	−	37.0522i	0.386350	−	1.18906i	0.935496	−	0.353336i	$-0.114953\pi$
$972$	0.226870	−	0.698234i	0.00727686	−	0.0223959i
$973$	−11.4210	+	8.29787i	−0.366142	+	0.266018i
$974$	−34.1190			−1.09324
$975$	27.1479	+	35.8608i	0.869427	+	1.14846i
$976$	2.45072			0.0784457
$977$	26.4661	−	19.2288i	0.846727	−	0.615183i	−0.0775148	−	0.996991i	$-0.524699\pi$
$977$	26.4661	−	19.2288i	0.846727	−	0.615183i	0.924242	+	0.381808i	$0.124699\pi$
$978$	−2.44835	+	7.53524i	−0.0782895	+	0.240950i
$979$	16.8998	−	52.0123i	0.540120	−	1.66232i
$980$	1.03470	+	1.98227i	0.0330522	+	0.0633213i
$981$	18.7769	+	57.7894i	0.599501	+	1.84508i
$982$	13.6506			0.435607
$983$	−13.1006	−	40.3194i	−0.417843	−	1.28599i	−0.909683	−	0.415303i	$-0.863675\pi$
$983$	−13.1006	−	40.3194i	−0.417843	−	1.28599i	0.491840	−	0.870686i	$-0.336325\pi$
$984$	12.6158	+	9.16595i	0.402179	+	0.292200i
$985$	−19.5396	−	37.4339i	−0.622584	−	1.19274i
$986$	5.43590	−	3.94941i	0.173114	−	0.125775i
$987$	1.10198	+	0.800635i	0.0350764	+	0.0254845i
$988$	−0.717543	−	0.521325i	−0.0228281	−	0.0165856i
$989$	−33.1280	+	24.0689i	−1.05341	+	0.765345i
$990$	−10.6181	+	71.5902i	−0.337467	+	2.27529i
$991$	−11.5168	−	8.36744i	−0.365843	−	0.265800i	0.389642	−	0.920966i	$-0.372599\pi$
$991$	−11.5168	−	8.36744i	−0.365843	−	0.265800i	−0.755485	+	0.655166i	$0.772599\pi$
$992$	−2.79602	−	8.60525i	−0.0887736	−	0.273217i
$993$	−93.8583			−2.97850
$994$	−3.93479	−	12.1100i	−0.124804	−	0.384107i
$995$	16.4690	−	16.7961i	0.522102	−	0.532474i
$996$	−16.0761	+	49.4771i	−0.509390	+	1.56774i
$997$	6.51854	−	20.0620i	0.206444	−	0.635370i	−0.793207	−	0.608953i	$-0.791590\pi$
$997$	6.51854	−	20.0620i	0.206444	−	0.635370i	0.999651	−	0.0264179i	$-0.00841005\pi$
$998$	−23.6490	+	17.1820i	−0.748596	+	0.543887i
$999$	64.7730			2.04933

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	350.2.h.d.211.1	yes	20
25.4	even	10		8750.2.a.x.1.9		10
25.16	even	5	inner	350.2.h.d.141.1	✓	20
25.21	even	5		8750.2.a.w.1.2		10

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
350.2.h.d.141.1	✓	20	25.16	even	5	inner
350.2.h.d.211.1	yes	20	1.1	even	1	trivial
8750.2.a.w.1.2		10	25.21	even	5
8750.2.a.x.1.9		10	25.4	even	10

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(0.809017 - 0.587785i) q^{2} +(-0.924929 + 2.84664i) q^{3} +(0.309017 - 0.951057i) q^{4} +(-1.56551 + 1.59661i) q^{5} +(0.924929 + 2.84664i) q^{6} +1.00000 q^{7} +(-0.309017 - 0.951057i) q^{8} +(-4.82080 - 3.50252i) q^{9} +O(q^{10})\)	\(q+(0.809017 - 0.587785i) q^{2} +(-0.924929 + 2.84664i) q^{3} +(0.309017 - 0.951057i) q^{4} +(-1.56551 + 1.59661i) q^{5} +(0.924929 + 2.84664i) q^{6} +1.00000 q^{7} +(-0.309017 - 0.951057i) q^{8} +(-4.82080 - 3.50252i) q^{9} +(-0.328061 + 2.21187i) q^{10} +(-4.39430 + 3.19265i) q^{11} +(2.42149 + 1.75932i) q^{12} +(2.43142 + 1.76653i) q^{13} +(0.809017 - 0.587785i) q^{14} +(-3.09699 - 5.93320i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(-0.726297 - 2.23531i) q^{17} -5.95884 q^{18} +(-0.0911948 - 0.280669i) q^{19} +(1.03470 + 1.98227i) q^{20} +(-0.924929 + 2.84664i) q^{21} +(-1.67847 + 5.16581i) q^{22} +(-3.77537 + 2.74297i) q^{23} +2.99313 q^{24} +(-0.0983414 - 4.99903i) q^{25} +3.00540 q^{26} +(7.16481 - 5.20554i) q^{27} +(0.309017 - 0.951057i) q^{28} +(-0.883413 + 2.71887i) q^{29} +(-5.99296 - 2.97969i) q^{30} +(2.79602 + 8.60525i) q^{31} -1.00000 q^{32} +(-5.02389 - 15.4620i) q^{33} +(-1.90147 - 1.38150i) q^{34} +(-1.56551 + 1.59661i) q^{35} +(-4.82080 + 3.50252i) q^{36} +(5.91704 + 4.29898i) q^{37} +(-0.238751 - 0.173463i) q^{38} +(-7.27756 + 5.28746i) q^{39} +(2.00224 + 0.995511i) q^{40} +(4.21493 + 3.06233i) q^{41} +(0.924929 + 2.84664i) q^{42} +8.77475 q^{43} +(1.67847 + 5.16581i) q^{44} +(13.1392 - 2.21372i) q^{45} +(-1.44206 + 4.43822i) q^{46} +(0.140628 - 0.432809i) q^{47} +(2.42149 - 1.75932i) q^{48} +1.00000 q^{49} +(-3.01792 - 3.98650i) q^{50} +7.03490 q^{51} +(2.43142 - 1.76653i) q^{52} +(4.22661 - 13.0082i) q^{53} +(2.73671 - 8.42274i) q^{54} +(1.78192 - 12.0141i) q^{55} +(-0.309017 - 0.951057i) q^{56} +0.883311 q^{57} +(0.883413 + 2.71887i) q^{58} +(8.60759 + 6.25378i) q^{59} +(-6.59983 + 1.11195i) q^{60} +(-1.98268 + 1.44050i) q^{61} +(7.32007 + 5.31834i) q^{62} +(-4.82080 - 3.50252i) q^{63} +(-0.809017 + 0.587785i) q^{64} +(-6.62688 + 1.11651i) q^{65} +(-13.1527 - 9.55602i) q^{66} +(-1.53951 - 4.73812i) q^{67} -2.35035 q^{68} +(-4.31629 - 13.2842i) q^{69} +(-0.328061 + 2.21187i) q^{70} +(3.93479 - 12.1100i) q^{71} +(-1.84138 + 5.66719i) q^{72} +(-5.08046 + 3.69117i) q^{73} +7.31387 q^{74} +(14.3214 + 4.34381i) q^{75} -0.295113 q^{76} +(-4.39430 + 3.19265i) q^{77} +(-2.77978 + 8.55528i) q^{78} +(-3.85000 + 11.8491i) q^{79} +(2.20499 - 0.371501i) q^{80} +(2.66720 + 8.20878i) q^{81} +5.20994 q^{82} +(5.37099 + 16.5302i) q^{83} +(2.42149 + 1.75932i) q^{84} +(4.70596 + 2.33980i) q^{85} +(7.09892 - 5.15767i) q^{86} +(-6.92253 - 5.02951i) q^{87} +(4.39430 + 3.19265i) q^{88} +(-8.14563 + 5.91815i) q^{89} +(9.32863 - 9.51395i) q^{90} +(2.43142 + 1.76653i) q^{91} +(1.44206 + 4.43822i) q^{92} -27.0822 q^{93} +(-0.140628 - 0.432809i) q^{94} +(0.590886 + 0.293788i) q^{95} +(0.924929 - 2.84664i) q^{96} +(2.10797 - 6.48766i) q^{97} +(0.809017 - 0.587785i) q^{98} +32.3664 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 20 q + 5 q^{2} + 3 q^{3} - 5 q^{4} - 5 q^{5} - 3 q^{6} + 20 q^{7} + 5 q^{8} - 6 q^{9}+O(q^{10}) \) 20 * q + 5 * q^2 + 3 * q^3 - 5 * q^4 - 5 * q^5 - 3 * q^6 + 20 * q^7 + 5 * q^8 - 6 * q^9	\( 20 q + 5 q^{2} + 3 q^{3} - 5 q^{4} - 5 q^{5} - 3 q^{6} + 20 q^{7} + 5 q^{8} - 6 q^{9} - 9 q^{11} - 2 q^{12} + 5 q^{13} + 5 q^{14} - 5 q^{16} - 12 q^{17} - 34 q^{18} + 2 q^{19} + 5 q^{20} + 3 q^{21} - 6 q^{22} - 5 q^{23} + 2 q^{24} - 35 q^{25} + 20 q^{26} - 6 q^{27} - 5 q^{28} - 22 q^{29} - 25 q^{30} - 7 q^{31} - 20 q^{32} + 25 q^{33} - 18 q^{34} - 5 q^{35} - 6 q^{36} - 3 q^{37} + 8 q^{38} - 22 q^{39} + 19 q^{41} - 3 q^{42} + 2 q^{43} + 6 q^{44} + 45 q^{45} - 10 q^{46} - 14 q^{47} - 2 q^{48} + 20 q^{49} + 10 q^{50} + 38 q^{51} + 5 q^{52} - q^{53} - 19 q^{54} - 20 q^{55} + 5 q^{56} + 116 q^{57} + 22 q^{58} + 17 q^{59} - 5 q^{60} - 38 q^{61} + 7 q^{62} - 6 q^{63} - 5 q^{64} + 15 q^{65} - 16 q^{67} - 12 q^{68} + 35 q^{69} + q^{71} + 11 q^{72} + 19 q^{73} + 18 q^{74} + 35 q^{75} + 12 q^{76} - 9 q^{77} - 18 q^{78} - 64 q^{79} - 40 q^{81} + 26 q^{82} + 57 q^{83} - 2 q^{84} - 40 q^{85} - 2 q^{86} - 78 q^{87} + 9 q^{88} - 6 q^{89} + 10 q^{90} + 5 q^{91} + 10 q^{92} - 22 q^{93} + 14 q^{94} + 60 q^{95} - 3 q^{96} - 18 q^{97} + 5 q^{98} + 112 q^{99}+O(q^{100}) \) 20 * q + 5 * q^2 + 3 * q^3 - 5 * q^4 - 5 * q^5 - 3 * q^6 + 20 * q^7 + 5 * q^8 - 6 * q^9 - 9 * q^11 - 2 * q^12 + 5 * q^13 + 5 * q^14 - 5 * q^16 - 12 * q^17 - 34 * q^18 + 2 * q^19 + 5 * q^20 + 3 * q^21 - 6 * q^22 - 5 * q^23 + 2 * q^24 - 35 * q^25 + 20 * q^26 - 6 * q^27 - 5 * q^28 - 22 * q^29 - 25 * q^30 - 7 * q^31 - 20 * q^32 + 25 * q^33 - 18 * q^34 - 5 * q^35 - 6 * q^36 - 3 * q^37 + 8 * q^38 - 22 * q^39 + 19 * q^41 - 3 * q^42 + 2 * q^43 + 6 * q^44 + 45 * q^45 - 10 * q^46 - 14 * q^47 - 2 * q^48 + 20 * q^49 + 10 * q^50 + 38 * q^51 + 5 * q^52 - q^53 - 19 * q^54 - 20 * q^55 + 5 * q^56 + 116 * q^57 + 22 * q^58 + 17 * q^59 - 5 * q^60 - 38 * q^61 + 7 * q^62 - 6 * q^63 - 5 * q^64 + 15 * q^65 - 16 * q^67 - 12 * q^68 + 35 * q^69 + q^71 + 11 * q^72 + 19 * q^73 + 18 * q^74 + 35 * q^75 + 12 * q^76 - 9 * q^77 - 18 * q^78 - 64 * q^79 - 40 * q^81 + 26 * q^82 + 57 * q^83 - 2 * q^84 - 40 * q^85 - 2 * q^86 - 78 * q^87 + 9 * q^88 - 6 * q^89 + 10 * q^90 + 5 * q^91 + 10 * q^92 - 22 * q^93 + 14 * q^94 + 60 * q^95 - 3 * q^96 - 18 * q^97 + 5 * q^98 + 112 * q^99

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