Properties

Label 80.2.j.b.67.4
Level $80$
Weight $2$
Character 80.67
Analytic conductor $0.639$
Analytic rank $0$
Dimension $18$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 80 = 2^{4} \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 80.j (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.638803216170\)
Analytic rank: \(0\)
Dimension: \(18\)
Relative dimension: \(9\) over \(\Q(i)\)
Coefficient field: \(\mathbb{Q}[x]/(x^{18} + \cdots)\)
Defining polynomial: \(x^{18} + 2 x^{16} - 4 x^{15} - 5 x^{14} - 14 x^{13} - 10 x^{12} + 6 x^{11} + 37 x^{10} + 70 x^{9} + 74 x^{8} + 24 x^{7} - 80 x^{6} - 224 x^{5} - 160 x^{4} - 256 x^{3} + 256 x^{2} + 512\)
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 2^{6} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 67.4
Root \(0.0376504 + 1.41371i\) of defining polynomial
Character \(\chi\) \(=\) 80.67
Dual form 80.2.j.b.43.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.558542 - 1.29924i) q^{2} +2.55161i q^{3} +(-1.37606 + 1.45136i) q^{4} +(1.66635 - 1.49107i) q^{5} +(3.31516 - 1.42518i) q^{6} +(2.40368 + 2.40368i) q^{7} +(2.65426 + 0.977191i) q^{8} -3.51070 q^{9} +O(q^{10})\) \(q+(-0.558542 - 1.29924i) q^{2} +2.55161i q^{3} +(-1.37606 + 1.45136i) q^{4} +(1.66635 - 1.49107i) q^{5} +(3.31516 - 1.42518i) q^{6} +(2.40368 + 2.40368i) q^{7} +(2.65426 + 0.977191i) q^{8} -3.51070 q^{9} +(-2.86798 - 1.33217i) q^{10} +(-2.67707 - 2.67707i) q^{11} +(-3.70331 - 3.51117i) q^{12} -2.40164 q^{13} +(1.78040 - 4.46551i) q^{14} +(3.80462 + 4.25187i) q^{15} +(-0.212908 - 3.99433i) q^{16} +(-0.0750544 - 0.0750544i) q^{17} +(1.96087 + 4.56125i) q^{18} +(-2.67236 - 2.67236i) q^{19} +(-0.128922 + 4.47028i) q^{20} +(-6.13324 + 6.13324i) q^{21} +(-1.98291 + 4.97342i) q^{22} +(2.12375 - 2.12375i) q^{23} +(-2.49341 + 6.77263i) q^{24} +(0.553442 - 4.96928i) q^{25} +(1.34141 + 3.12031i) q^{26} -1.30310i q^{27} +(-6.79621 + 0.180999i) q^{28} +(3.95795 - 3.95795i) q^{29} +(3.39917 - 7.31797i) q^{30} +1.65367i q^{31} +(-5.07068 + 2.50762i) q^{32} +(6.83083 - 6.83083i) q^{33} +(-0.0555929 + 0.139435i) q^{34} +(7.58941 + 0.421324i) q^{35} +(4.83094 - 5.09530i) q^{36} -2.53082 q^{37} +(-1.97942 + 4.96467i) q^{38} -6.12803i q^{39} +(5.87998 - 2.32934i) q^{40} -1.70882i q^{41} +(11.3942 + 4.54289i) q^{42} -3.84601 q^{43} +(7.56921 - 0.201586i) q^{44} +(-5.85005 + 5.23469i) q^{45} +(-3.94547 - 1.57306i) q^{46} +(-2.15264 + 2.15264i) q^{47} +(10.1920 - 0.543256i) q^{48} +4.55532i q^{49} +(-6.76541 + 2.05649i) q^{50} +(0.191509 - 0.191509i) q^{51} +(3.30480 - 3.48565i) q^{52} +1.29475i q^{53} +(-1.69305 + 0.727839i) q^{54} +(-8.45262 - 0.469246i) q^{55} +(4.03113 + 8.72883i) q^{56} +(6.81881 - 6.81881i) q^{57} +(-7.35302 - 2.93166i) q^{58} +(-5.29614 + 5.29614i) q^{59} +(-11.4064 - 0.328959i) q^{60} +(10.2413 + 10.2413i) q^{61} +(2.14852 - 0.923645i) q^{62} +(-8.43858 - 8.43858i) q^{63} +(6.09020 + 5.18744i) q^{64} +(-4.00197 + 3.58100i) q^{65} +(-12.6902 - 5.05960i) q^{66} -10.6230 q^{67} +(0.212211 - 0.00565167i) q^{68} +(5.41898 + 5.41898i) q^{69} +(-3.69160 - 10.0958i) q^{70} +2.27322 q^{71} +(-9.31831 - 3.43062i) q^{72} +(9.99096 + 9.99096i) q^{73} +(1.41357 + 3.28815i) q^{74} +(12.6796 + 1.41217i) q^{75} +(7.55589 - 0.201231i) q^{76} -12.8696i q^{77} +(-7.96180 + 3.42276i) q^{78} +8.70617 q^{79} +(-6.31059 - 6.33849i) q^{80} -7.20709 q^{81} +(-2.22017 + 0.954448i) q^{82} -11.1310i q^{83} +(-0.461838 - 17.3413i) q^{84} +(-0.236978 - 0.0131558i) q^{85} +(2.14816 + 4.99689i) q^{86} +(10.0991 + 10.0991i) q^{87} +(-4.48963 - 9.72165i) q^{88} -15.6390 q^{89} +(10.0686 + 4.67685i) q^{90} +(-5.77276 - 5.77276i) q^{91} +(0.159920 + 6.00475i) q^{92} -4.21952 q^{93} +(3.99914 + 1.59446i) q^{94} +(-8.43775 - 0.468420i) q^{95} +(-6.39846 - 12.9384i) q^{96} +(5.00672 + 5.00672i) q^{97} +(5.91846 - 2.54434i) q^{98} +(9.39839 + 9.39839i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 18q - 4q^{2} - 4q^{4} - 4q^{5} - 8q^{6} + 2q^{7} - 4q^{8} - 10q^{9} + O(q^{10}) \) \( 18q - 4q^{2} - 4q^{4} - 4q^{5} - 8q^{6} + 2q^{7} - 4q^{8} - 10q^{9} - 12q^{10} - 2q^{11} + 4q^{12} + 12q^{14} + 20q^{15} - 6q^{17} + 16q^{18} + 2q^{19} - 4q^{20} - 16q^{21} + 4q^{22} - 2q^{23} + 4q^{24} + 6q^{25} - 16q^{26} - 4q^{28} - 14q^{29} + 20q^{30} - 4q^{32} - 8q^{33} - 28q^{34} - 6q^{35} - 4q^{36} + 8q^{37} + 16q^{38} + 20q^{40} + 28q^{42} - 44q^{43} + 44q^{44} - 4q^{45} + 12q^{46} - 38q^{47} + 60q^{48} + 20q^{50} + 8q^{51} - 40q^{52} - 4q^{54} - 6q^{55} + 20q^{56} + 24q^{57} - 20q^{58} - 10q^{59} - 68q^{60} + 14q^{61} + 6q^{63} - 16q^{64} + 4q^{66} + 12q^{67} + 36q^{68} + 32q^{69} - 36q^{70} + 24q^{71} - 36q^{72} + 14q^{73} + 48q^{74} + 64q^{75} - 16q^{76} - 84q^{78} + 16q^{79} - 20q^{80} + 2q^{81} - 28q^{82} - 24q^{84} - 10q^{85} - 36q^{86} + 24q^{87} - 96q^{88} - 12q^{89} - 64q^{90} + 52q^{92} + 16q^{93} + 28q^{94} - 34q^{95} - 40q^{96} + 18q^{97} + 32q^{98} - 22q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/80\mathbb{Z}\right)^\times\).

\(n\) \(17\) \(21\) \(31\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{3}{4}\right)\) \(-1\)

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 \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.558542 1.29924i −0.394949 0.918703i
\(3\) 2.55161i 1.47317i 0.676344 + 0.736586i \(0.263563\pi\)
−0.676344 + 0.736586i \(0.736437\pi\)
\(4\) −1.37606 + 1.45136i −0.688031 + 0.725681i
\(5\) 1.66635 1.49107i 0.745214 0.666825i
\(6\) 3.31516 1.42518i 1.35341 0.581827i
\(7\) 2.40368 + 2.40368i 0.908504 + 0.908504i 0.996152 0.0876474i \(-0.0279349\pi\)
−0.0876474 + 0.996152i \(0.527935\pi\)
\(8\) 2.65426 + 0.977191i 0.938423 + 0.345489i
\(9\) −3.51070 −1.17023
\(10\) −2.86798 1.33217i −0.906936 0.421269i
\(11\) −2.67707 2.67707i −0.807167 0.807167i 0.177037 0.984204i \(-0.443349\pi\)
−0.984204 + 0.177037i \(0.943349\pi\)
\(12\) −3.70331 3.51117i −1.06905 1.01359i
\(13\) −2.40164 −0.666094 −0.333047 0.942910i \(-0.608077\pi\)
−0.333047 + 0.942910i \(0.608077\pi\)
\(14\) 1.78040 4.46551i 0.475833 1.19346i
\(15\) 3.80462 + 4.25187i 0.982348 + 1.09783i
\(16\) −0.212908 3.99433i −0.0532269 0.998582i
\(17\) −0.0750544 0.0750544i −0.0182034 0.0182034i 0.697947 0.716150i \(-0.254097\pi\)
−0.716150 + 0.697947i \(0.754097\pi\)
\(18\) 1.96087 + 4.56125i 0.462182 + 1.07510i
\(19\) −2.67236 2.67236i −0.613081 0.613081i 0.330666 0.943748i \(-0.392726\pi\)
−0.943748 + 0.330666i \(0.892726\pi\)
\(20\) −0.128922 + 4.47028i −0.0288279 + 0.999584i
\(21\) −6.13324 + 6.13324i −1.33838 + 1.33838i
\(22\) −1.98291 + 4.97342i −0.422757 + 1.06034i
\(23\) 2.12375 2.12375i 0.442833 0.442833i −0.450130 0.892963i \(-0.648622\pi\)
0.892963 + 0.450130i \(0.148622\pi\)
\(24\) −2.49341 + 6.77263i −0.508965 + 1.38246i
\(25\) 0.553442 4.96928i 0.110688 0.993855i
\(26\) 1.34141 + 3.12031i 0.263073 + 0.611943i
\(27\) 1.30310i 0.250783i
\(28\) −6.79621 + 0.180999i −1.28436 + 0.0342056i
\(29\) 3.95795 3.95795i 0.734974 0.734974i −0.236627 0.971601i \(-0.576042\pi\)
0.971601 + 0.236627i \(0.0760419\pi\)
\(30\) 3.39917 7.31797i 0.620601 1.33607i
\(31\) 1.65367i 0.297008i 0.988912 + 0.148504i \(0.0474458\pi\)
−0.988912 + 0.148504i \(0.952554\pi\)
\(32\) −5.07068 + 2.50762i −0.896379 + 0.443289i
\(33\) 6.83083 6.83083i 1.18909 1.18909i
\(34\) −0.0555929 + 0.139435i −0.00953410 + 0.0239129i
\(35\) 7.58941 + 0.421324i 1.28284 + 0.0712168i
\(36\) 4.83094 5.09530i 0.805157 0.849216i
\(37\) −2.53082 −0.416064 −0.208032 0.978122i \(-0.566706\pi\)
−0.208032 + 0.978122i \(0.566706\pi\)
\(38\) −1.97942 + 4.96467i −0.321104 + 0.805375i
\(39\) 6.12803i 0.981271i
\(40\) 5.87998 2.32934i 0.929707 0.368300i
\(41\) 1.70882i 0.266873i −0.991057 0.133436i \(-0.957399\pi\)
0.991057 0.133436i \(-0.0426012\pi\)
\(42\) 11.3942 + 4.54289i 1.75817 + 0.700983i
\(43\) −3.84601 −0.586510 −0.293255 0.956034i \(-0.594739\pi\)
−0.293255 + 0.956034i \(0.594739\pi\)
\(44\) 7.56921 0.201586i 1.14110 0.0303902i
\(45\) −5.85005 + 5.23469i −0.872074 + 0.780341i
\(46\) −3.94547 1.57306i −0.581728 0.231936i
\(47\) −2.15264 + 2.15264i −0.313995 + 0.313995i −0.846455 0.532460i \(-0.821268\pi\)
0.532460 + 0.846455i \(0.321268\pi\)
\(48\) 10.1920 0.543256i 1.47108 0.0784123i
\(49\) 4.55532i 0.650760i
\(50\) −6.76541 + 2.05649i −0.956774 + 0.290832i
\(51\) 0.191509 0.191509i 0.0268167 0.0268167i
\(52\) 3.30480 3.48565i 0.458293 0.483372i
\(53\) 1.29475i 0.177848i 0.996038 + 0.0889239i \(0.0283428\pi\)
−0.996038 + 0.0889239i \(0.971657\pi\)
\(54\) −1.69305 + 0.727839i −0.230395 + 0.0990463i
\(55\) −8.45262 0.469246i −1.13975 0.0632731i
\(56\) 4.03113 + 8.72883i 0.538683 + 1.16644i
\(57\) 6.81881 6.81881i 0.903174 0.903174i
\(58\) −7.35302 2.93166i −0.965499 0.384946i
\(59\) −5.29614 + 5.29614i −0.689499 + 0.689499i −0.962121 0.272622i \(-0.912109\pi\)
0.272622 + 0.962121i \(0.412109\pi\)
\(60\) −11.4064 0.328959i −1.47256 0.0424684i
\(61\) 10.2413 + 10.2413i 1.31126 + 1.31126i 0.920484 + 0.390780i \(0.127795\pi\)
0.390780 + 0.920484i \(0.372205\pi\)
\(62\) 2.14852 0.923645i 0.272862 0.117303i
\(63\) −8.43858 8.43858i −1.06316 1.06316i
\(64\) 6.09020 + 5.18744i 0.761274 + 0.648430i
\(65\) −4.00197 + 3.58100i −0.496383 + 0.444168i
\(66\) −12.6902 5.05960i −1.56206 0.622794i
\(67\) −10.6230 −1.29780 −0.648901 0.760873i \(-0.724771\pi\)
−0.648901 + 0.760873i \(0.724771\pi\)
\(68\) 0.212211 0.00565167i 0.0257343 0.000685365i
\(69\) 5.41898 + 5.41898i 0.652369 + 0.652369i
\(70\) −3.69160 10.0958i −0.441230 1.20668i
\(71\) 2.27322 0.269781 0.134891 0.990860i \(-0.456932\pi\)
0.134891 + 0.990860i \(0.456932\pi\)
\(72\) −9.31831 3.43062i −1.09817 0.404303i
\(73\) 9.99096 + 9.99096i 1.16935 + 1.16935i 0.982361 + 0.186992i \(0.0598739\pi\)
0.186992 + 0.982361i \(0.440126\pi\)
\(74\) 1.41357 + 3.28815i 0.164324 + 0.382240i
\(75\) 12.6796 + 1.41217i 1.46412 + 0.163063i
\(76\) 7.55589 0.201231i 0.866720 0.0230828i
\(77\) 12.8696i 1.46663i
\(78\) −7.96180 + 3.42276i −0.901496 + 0.387552i
\(79\) 8.70617 0.979520 0.489760 0.871857i \(-0.337084\pi\)
0.489760 + 0.871857i \(0.337084\pi\)
\(80\) −6.31059 6.33849i −0.705545 0.708665i
\(81\) −7.20709 −0.800787
\(82\) −2.22017 + 0.954448i −0.245177 + 0.105401i
\(83\) 11.1310i 1.22178i −0.791715 0.610890i \(-0.790812\pi\)
0.791715 0.610890i \(-0.209188\pi\)
\(84\) −0.461838 17.3413i −0.0503907 1.89209i
\(85\) −0.236978 0.0131558i −0.0257039 0.00142695i
\(86\) 2.14816 + 4.99689i 0.231642 + 0.538829i
\(87\) 10.0991 + 10.0991i 1.08274 + 1.08274i
\(88\) −4.48963 9.72165i −0.478596 1.03633i
\(89\) −15.6390 −1.65773 −0.828866 0.559447i \(-0.811014\pi\)
−0.828866 + 0.559447i \(0.811014\pi\)
\(90\) 10.0686 + 4.67685i 1.06133 + 0.492983i
\(91\) −5.77276 5.77276i −0.605149 0.605149i
\(92\) 0.159920 + 6.00475i 0.0166729 + 0.626038i
\(93\) −4.21952 −0.437544
\(94\) 3.99914 + 1.59446i 0.412480 + 0.164456i
\(95\) −8.43775 0.468420i −0.865695 0.0480589i
\(96\) −6.39846 12.9384i −0.653040 1.32052i
\(97\) 5.00672 + 5.00672i 0.508355 + 0.508355i 0.914021 0.405666i \(-0.132960\pi\)
−0.405666 + 0.914021i \(0.632960\pi\)
\(98\) 5.91846 2.54434i 0.597855 0.257017i
\(99\) 9.39839 + 9.39839i 0.944573 + 0.944573i
\(100\) 6.45065 + 7.64128i 0.645065 + 0.764128i
\(101\) 6.37101 6.37101i 0.633939 0.633939i −0.315115 0.949054i \(-0.602043\pi\)
0.949054 + 0.315115i \(0.102043\pi\)
\(102\) −0.355783 0.141851i −0.0352278 0.0140454i
\(103\) −1.93695 + 1.93695i −0.190854 + 0.190854i −0.796065 0.605211i \(-0.793089\pi\)
0.605211 + 0.796065i \(0.293089\pi\)
\(104\) −6.37457 2.34686i −0.625078 0.230128i
\(105\) −1.07505 + 19.3652i −0.104915 + 1.88985i
\(106\) 1.68220 0.723173i 0.163389 0.0702408i
\(107\) 6.97778i 0.674568i 0.941403 + 0.337284i \(0.109508\pi\)
−0.941403 + 0.337284i \(0.890492\pi\)
\(108\) 1.89128 + 1.79315i 0.181988 + 0.172546i
\(109\) −0.277748 + 0.277748i −0.0266034 + 0.0266034i −0.720283 0.693680i \(-0.755988\pi\)
0.693680 + 0.720283i \(0.255988\pi\)
\(110\) 4.11148 + 11.2441i 0.392014 + 1.07208i
\(111\) 6.45766i 0.612934i
\(112\) 9.08931 10.1128i 0.858859 0.955573i
\(113\) −8.75577 + 8.75577i −0.823674 + 0.823674i −0.986633 0.162959i \(-0.947896\pi\)
0.162959 + 0.986633i \(0.447896\pi\)
\(114\) −12.6679 5.05070i −1.18646 0.473041i
\(115\) 0.372258 6.70557i 0.0347133 0.625298i
\(116\) 0.298037 + 11.1908i 0.0276721 + 1.03904i
\(117\) 8.43142 0.779485
\(118\) 9.83909 + 3.92286i 0.905762 + 0.361128i
\(119\) 0.360813i 0.0330757i
\(120\) 5.94355 + 15.0034i 0.542569 + 1.36962i
\(121\) 3.33340i 0.303036i
\(122\) 7.58574 19.0261i 0.686780 1.72254i
\(123\) 4.36024 0.393149
\(124\) −2.40008 2.27555i −0.215533 0.204351i
\(125\) −6.48729 9.10577i −0.580241 0.814445i
\(126\) −6.25046 + 15.6771i −0.556836 + 1.39662i
\(127\) 0.679502 0.679502i 0.0602961 0.0602961i −0.676316 0.736612i \(-0.736424\pi\)
0.736612 + 0.676316i \(0.236424\pi\)
\(128\) 3.33811 10.8100i 0.295050 0.955482i
\(129\) 9.81350i 0.864030i
\(130\) 6.88785 + 3.19939i 0.604105 + 0.280605i
\(131\) −5.43859 + 5.43859i −0.475172 + 0.475172i −0.903584 0.428412i \(-0.859073\pi\)
0.428412 + 0.903584i \(0.359073\pi\)
\(132\) 0.514367 + 19.3137i 0.0447699 + 1.68104i
\(133\) 12.8470i 1.11397i
\(134\) 5.93337 + 13.8018i 0.512565 + 1.19229i
\(135\) −1.94302 2.17143i −0.167228 0.186887i
\(136\) −0.125871 0.272557i −0.0107934 0.0233715i
\(137\) 7.47496 7.47496i 0.638629 0.638629i −0.311588 0.950217i \(-0.600861\pi\)
0.950217 + 0.311588i \(0.100861\pi\)
\(138\) 4.01384 10.0673i 0.341681 0.856986i
\(139\) 11.5307 11.5307i 0.978023 0.978023i −0.0217404 0.999764i \(-0.506921\pi\)
0.999764 + 0.0217404i \(0.00692074\pi\)
\(140\) −11.0550 + 10.4352i −0.934317 + 0.881936i
\(141\) −5.49270 5.49270i −0.462568 0.462568i
\(142\) −1.26969 2.95346i −0.106550 0.247849i
\(143\) 6.42935 + 6.42935i 0.537649 + 0.537649i
\(144\) 0.747455 + 14.0229i 0.0622879 + 1.16857i
\(145\) 0.693763 12.4969i 0.0576139 1.03781i
\(146\) 7.40031 18.5611i 0.612454 1.53612i
\(147\) −11.6234 −0.958680
\(148\) 3.48257 3.67314i 0.286265 0.301930i
\(149\) −5.51174 5.51174i −0.451539 0.451539i 0.444326 0.895865i \(-0.353443\pi\)
−0.895865 + 0.444326i \(0.853443\pi\)
\(150\) −5.24736 17.2627i −0.428445 1.40949i
\(151\) −4.13617 −0.336597 −0.168299 0.985736i \(-0.553827\pi\)
−0.168299 + 0.985736i \(0.553827\pi\)
\(152\) −4.48173 9.70454i −0.363516 0.787142i
\(153\) 0.263494 + 0.263494i 0.0213022 + 0.0213022i
\(154\) −16.7207 + 7.18822i −1.34740 + 0.579243i
\(155\) 2.46573 + 2.75559i 0.198052 + 0.221335i
\(156\) 8.89400 + 8.43255i 0.712090 + 0.675144i
\(157\) 20.2700i 1.61772i 0.587999 + 0.808861i \(0.299916\pi\)
−0.587999 + 0.808861i \(0.700084\pi\)
\(158\) −4.86276 11.3114i −0.386860 0.899889i
\(159\) −3.30370 −0.262000
\(160\) −4.71051 + 11.7393i −0.372398 + 0.928073i
\(161\) 10.2096 0.804631
\(162\) 4.02546 + 9.36375i 0.316270 + 0.735686i
\(163\) 13.1835i 1.03262i 0.856403 + 0.516308i \(0.172694\pi\)
−0.856403 + 0.516308i \(0.827306\pi\)
\(164\) 2.48012 + 2.35144i 0.193665 + 0.183617i
\(165\) 1.19733 21.5678i 0.0932121 1.67905i
\(166\) −14.4618 + 6.21710i −1.12245 + 0.482541i
\(167\) −11.8190 11.8190i −0.914585 0.914585i 0.0820441 0.996629i \(-0.473855\pi\)
−0.996629 + 0.0820441i \(0.973855\pi\)
\(168\) −22.2726 + 10.2859i −1.71836 + 0.793572i
\(169\) −7.23214 −0.556319
\(170\) 0.115270 + 0.315240i 0.00884078 + 0.0241778i
\(171\) 9.38185 + 9.38185i 0.717448 + 0.717448i
\(172\) 5.29234 5.58195i 0.403537 0.425620i
\(173\) 15.5763 1.18424 0.592120 0.805849i \(-0.298291\pi\)
0.592120 + 0.805849i \(0.298291\pi\)
\(174\) 7.48044 18.7620i 0.567091 1.42235i
\(175\) 13.2748 10.6142i 1.00348 0.802361i
\(176\) −10.1231 + 11.2631i −0.763060 + 0.848986i
\(177\) −13.5137 13.5137i −1.01575 1.01575i
\(178\) 8.73505 + 20.3189i 0.654719 + 1.52296i
\(179\) 15.5963 + 15.5963i 1.16572 + 1.16572i 0.983202 + 0.182523i \(0.0584265\pi\)
0.182523 + 0.983202i \(0.441574\pi\)
\(180\) 0.452607 15.6938i 0.0337353 1.16975i
\(181\) 2.98705 2.98705i 0.222026 0.222026i −0.587325 0.809351i \(-0.699819\pi\)
0.809351 + 0.587325i \(0.199819\pi\)
\(182\) −4.27588 + 10.7245i −0.316950 + 0.794955i
\(183\) −26.1318 + 26.1318i −1.93172 + 1.93172i
\(184\) 7.71230 3.56168i 0.568559 0.262571i
\(185\) −4.21723 + 3.77362i −0.310057 + 0.277442i
\(186\) 2.35678 + 5.48218i 0.172807 + 0.401973i
\(187\) 0.401852i 0.0293863i
\(188\) −0.162096 6.08643i −0.0118221 0.443899i
\(189\) 3.13224 3.13224i 0.227837 0.227837i
\(190\) 4.10425 + 11.2243i 0.297753 + 0.814297i
\(191\) 6.47168i 0.468274i −0.972204 0.234137i \(-0.924774\pi\)
0.972204 0.234137i \(-0.0752264\pi\)
\(192\) −13.2363 + 15.5398i −0.955248 + 1.12149i
\(193\) −11.1131 + 11.1131i −0.799936 + 0.799936i −0.983085 0.183149i \(-0.941371\pi\)
0.183149 + 0.983085i \(0.441371\pi\)
\(194\) 3.70848 9.30141i 0.266253 0.667802i
\(195\) −9.13730 10.2114i −0.654336 0.731257i
\(196\) −6.61142 6.26840i −0.472244 0.447743i
\(197\) −25.0927 −1.78778 −0.893889 0.448288i \(-0.852034\pi\)
−0.893889 + 0.448288i \(0.852034\pi\)
\(198\) 6.96139 17.4602i 0.494724 1.24084i
\(199\) 18.7579i 1.32972i −0.746970 0.664858i \(-0.768492\pi\)
0.746970 0.664858i \(-0.231508\pi\)
\(200\) 6.32491 12.6489i 0.447239 0.894415i
\(201\) 27.1056i 1.91188i
\(202\) −11.8360 4.71901i −0.832775 0.332028i
\(203\) 19.0273 1.33545
\(204\) 0.0144208 + 0.541479i 0.00100966 + 0.0379111i
\(205\) −2.54796 2.84749i −0.177958 0.198877i
\(206\) 3.59844 + 1.43470i 0.250715 + 0.0999604i
\(207\) −7.45586 + 7.45586i −0.518218 + 0.518218i
\(208\) 0.511327 + 9.59293i 0.0354541 + 0.665150i
\(209\) 14.3082i 0.989718i
\(210\) 25.7605 9.41951i 1.77765 0.650008i
\(211\) 6.38863 6.38863i 0.439811 0.439811i −0.452137 0.891948i \(-0.649338\pi\)
0.891948 + 0.452137i \(0.149338\pi\)
\(212\) −1.87915 1.78166i −0.129061 0.122365i
\(213\) 5.80036i 0.397434i
\(214\) 9.06583 3.89738i 0.619727 0.266420i
\(215\) −6.40879 + 5.73465i −0.437076 + 0.391100i
\(216\) 1.27338 3.45878i 0.0866427 0.235340i
\(217\) −3.97489 + 3.97489i −0.269833 + 0.269833i
\(218\) 0.515996 + 0.205728i 0.0349476 + 0.0139337i
\(219\) −25.4930 + 25.4930i −1.72266 + 1.72266i
\(220\) 12.3124 11.6221i 0.830100 0.783562i
\(221\) 0.180253 + 0.180253i 0.0121252 + 0.0121252i
\(222\) −8.39006 + 3.60687i −0.563104 + 0.242077i
\(223\) 4.29779 + 4.29779i 0.287801 + 0.287801i 0.836210 0.548409i \(-0.184766\pi\)
−0.548409 + 0.836210i \(0.684766\pi\)
\(224\) −18.2158 6.16078i −1.21709 0.411634i
\(225\) −1.94297 + 17.4456i −0.129531 + 1.16304i
\(226\) 16.2663 + 6.48541i 1.08202 + 0.431403i
\(227\) 29.1029 1.93163 0.965813 0.259241i \(-0.0834724\pi\)
0.965813 + 0.259241i \(0.0834724\pi\)
\(228\) 0.513462 + 19.2797i 0.0340049 + 1.27683i
\(229\) 18.3405 + 18.3405i 1.21198 + 1.21198i 0.970376 + 0.241600i \(0.0776721\pi\)
0.241600 + 0.970376i \(0.422328\pi\)
\(230\) −8.92008 + 3.26169i −0.588173 + 0.215069i
\(231\) 32.8382 2.16060
\(232\) 14.3731 6.63776i 0.943641 0.435790i
\(233\) −1.46663 1.46663i −0.0960824 0.0960824i 0.657432 0.753514i \(-0.271643\pi\)
−0.753514 + 0.657432i \(0.771643\pi\)
\(234\) −4.70930 10.9545i −0.307857 0.716116i
\(235\) −0.377322 + 6.79678i −0.0246138 + 0.443373i
\(236\) −0.398804 14.9744i −0.0259600 0.974754i
\(237\) 22.2147i 1.44300i
\(238\) −0.468784 + 0.201529i −0.0303867 + 0.0130632i
\(239\) −12.5432 −0.811352 −0.405676 0.914017i \(-0.632964\pi\)
−0.405676 + 0.914017i \(0.632964\pi\)
\(240\) 16.1733 16.1021i 1.04398 1.03939i
\(241\) 14.8870 0.958954 0.479477 0.877554i \(-0.340826\pi\)
0.479477 + 0.877554i \(0.340826\pi\)
\(242\) 4.33089 1.86184i 0.278400 0.119684i
\(243\) 22.2990i 1.43048i
\(244\) −28.9565 + 0.771179i −1.85375 + 0.0493697i
\(245\) 6.79228 + 7.59075i 0.433943 + 0.484955i
\(246\) −2.43538 5.66501i −0.155274 0.361188i
\(247\) 6.41803 + 6.41803i 0.408370 + 0.408370i
\(248\) −1.61595 + 4.38927i −0.102613 + 0.278719i
\(249\) 28.4018 1.79989
\(250\) −8.20718 + 13.5145i −0.519068 + 0.854733i
\(251\) −5.38459 5.38459i −0.339872 0.339872i 0.516447 0.856319i \(-0.327254\pi\)
−0.856319 + 0.516447i \(0.827254\pi\)
\(252\) 23.8595 0.635433i 1.50300 0.0400285i
\(253\) −11.3709 −0.714880
\(254\) −1.26237 0.503308i −0.0792081 0.0315803i
\(255\) 0.0335684 0.604675i 0.00210214 0.0378662i
\(256\) −15.9093 + 1.70085i −0.994334 + 0.106303i
\(257\) −3.88657 3.88657i −0.242437 0.242437i 0.575420 0.817858i \(-0.304838\pi\)
−0.817858 + 0.575420i \(0.804838\pi\)
\(258\) −12.7501 + 5.48125i −0.793787 + 0.341248i
\(259\) −6.08327 6.08327i −0.377996 0.377996i
\(260\) 0.309624 10.7360i 0.0192021 0.665817i
\(261\) −13.8952 + 13.8952i −0.860090 + 0.860090i
\(262\) 10.1037 + 4.02836i 0.624210 + 0.248873i
\(263\) 16.9658 16.9658i 1.04615 1.04615i 0.0472716 0.998882i \(-0.484947\pi\)
0.998882 0.0472716i \(-0.0150526\pi\)
\(264\) 24.8058 11.4558i 1.52669 0.705054i
\(265\) 1.93056 + 2.15751i 0.118593 + 0.132535i
\(266\) −16.6913 + 7.17557i −1.02341 + 0.439963i
\(267\) 39.9046i 2.44212i
\(268\) 14.6179 15.4178i 0.892928 0.941791i
\(269\) −2.55482 + 2.55482i −0.155770 + 0.155770i −0.780689 0.624919i \(-0.785132\pi\)
0.624919 + 0.780689i \(0.285132\pi\)
\(270\) −1.73596 + 3.73728i −0.105647 + 0.227444i
\(271\) 3.33684i 0.202698i 0.994851 + 0.101349i \(0.0323159\pi\)
−0.994851 + 0.101349i \(0.967684\pi\)
\(272\) −0.283813 + 0.315772i −0.0172087 + 0.0191465i
\(273\) 14.7298 14.7298i 0.891488 0.891488i
\(274\) −13.8869 5.53671i −0.838937 0.334485i
\(275\) −14.7847 + 11.8215i −0.891551 + 0.712863i
\(276\) −15.3218 + 0.408054i −0.922262 + 0.0245620i
\(277\) 4.60736 0.276830 0.138415 0.990374i \(-0.455799\pi\)
0.138415 + 0.990374i \(0.455799\pi\)
\(278\) −21.4216 8.54081i −1.28478 0.512244i
\(279\) 5.80554i 0.347569i
\(280\) 19.7325 + 8.53460i 1.17924 + 0.510040i
\(281\) 22.1178i 1.31944i 0.751513 + 0.659718i \(0.229324\pi\)
−0.751513 + 0.659718i \(0.770676\pi\)
\(282\) −4.06844 + 10.2042i −0.242272 + 0.607654i
\(283\) −10.8629 −0.645734 −0.322867 0.946444i \(-0.604647\pi\)
−0.322867 + 0.946444i \(0.604647\pi\)
\(284\) −3.12809 + 3.29926i −0.185618 + 0.195775i
\(285\) 1.19522 21.5298i 0.0707990 1.27532i
\(286\) 4.76222 11.9443i 0.281596 0.706284i
\(287\) 4.10745 4.10745i 0.242455 0.242455i
\(288\) 17.8017 8.80350i 1.04897 0.518751i
\(289\) 16.9887i 0.999337i
\(290\) −16.6240 + 6.07868i −0.976195 + 0.356952i
\(291\) −12.7752 + 12.7752i −0.748895 + 0.748895i
\(292\) −28.2487 + 0.752328i −1.65313 + 0.0440267i
\(293\) 18.4067i 1.07533i 0.843159 + 0.537665i \(0.180693\pi\)
−0.843159 + 0.537665i \(0.819307\pi\)
\(294\) 6.49214 + 15.1016i 0.378630 + 0.880743i
\(295\) −0.928326 + 16.7221i −0.0540492 + 0.973600i
\(296\) −6.71746 2.47309i −0.390444 0.143746i
\(297\) −3.48850 + 3.48850i −0.202423 + 0.202423i
\(298\) −4.08255 + 10.2396i −0.236496 + 0.593166i
\(299\) −5.10048 + 5.10048i −0.294968 + 0.294968i
\(300\) −19.4975 + 16.4595i −1.12569 + 0.950291i
\(301\) −9.24455 9.24455i −0.532847 0.532847i
\(302\) 2.31023 + 5.37389i 0.132939 + 0.309233i
\(303\) 16.2563 + 16.2563i 0.933900 + 0.933900i
\(304\) −10.1053 + 11.2432i −0.579580 + 0.644845i
\(305\) 32.3360 + 1.79513i 1.85156 + 0.102789i
\(306\) 0.195170 0.489514i 0.0111571 0.0279837i
\(307\) −6.60872 −0.377180 −0.188590 0.982056i \(-0.560392\pi\)
−0.188590 + 0.982056i \(0.560392\pi\)
\(308\) 18.6785 + 17.7094i 1.06431 + 1.00909i
\(309\) −4.94234 4.94234i −0.281160 0.281160i
\(310\) 2.20297 4.74270i 0.125120 0.269367i
\(311\) −0.606102 −0.0343689 −0.0171845 0.999852i \(-0.505470\pi\)
−0.0171845 + 0.999852i \(0.505470\pi\)
\(312\) 5.98826 16.2654i 0.339018 0.920847i
\(313\) −19.3708 19.3708i −1.09490 1.09490i −0.994997 0.0999032i \(-0.968147\pi\)
−0.0999032 0.994997i \(-0.531853\pi\)
\(314\) 26.3357 11.3216i 1.48621 0.638918i
\(315\) −26.6441 1.47914i −1.50123 0.0833403i
\(316\) −11.9802 + 12.6358i −0.673940 + 0.710820i
\(317\) 7.04328i 0.395590i −0.980243 0.197795i \(-0.936622\pi\)
0.980243 0.197795i \(-0.0633780\pi\)
\(318\) 1.84525 + 4.29230i 0.103477 + 0.240700i
\(319\) −21.1914 −1.18649
\(320\) 17.8832 0.436798i 0.999702 0.0244178i
\(321\) −17.8046 −0.993753
\(322\) −5.70250 13.2648i −0.317788 0.739217i
\(323\) 0.401145i 0.0223203i
\(324\) 9.91740 10.4601i 0.550967 0.581117i
\(325\) −1.32917 + 11.9344i −0.0737290 + 0.662001i
\(326\) 17.1286 7.36356i 0.948667 0.407830i
\(327\) −0.708703 0.708703i −0.0391914 0.0391914i
\(328\) 1.66984 4.53565i 0.0922017 0.250440i
\(329\) −10.3485 −0.570532
\(330\) −28.6905 + 10.4909i −1.57936 + 0.577504i
\(331\) −13.2275 13.2275i −0.727047 0.727047i 0.242983 0.970031i \(-0.421874\pi\)
−0.970031 + 0.242983i \(0.921874\pi\)
\(332\) 16.1550 + 15.3169i 0.886624 + 0.840623i
\(333\) 8.88495 0.486892
\(334\) −8.75437 + 21.9572i −0.479018 + 1.20145i
\(335\) −17.7016 + 15.8395i −0.967140 + 0.865407i
\(336\) 25.8040 + 23.1924i 1.40772 + 1.26525i
\(337\) 7.73287 + 7.73287i 0.421236 + 0.421236i 0.885629 0.464393i \(-0.153727\pi\)
−0.464393 + 0.885629i \(0.653727\pi\)
\(338\) 4.03945 + 9.39631i 0.219717 + 0.511092i
\(339\) −22.3413 22.3413i −1.21341 1.21341i
\(340\) 0.345190 0.325838i 0.0187206 0.0176710i
\(341\) 4.42699 4.42699i 0.239735 0.239735i
\(342\) 6.94914 17.4295i 0.375767 0.942477i
\(343\) 5.87623 5.87623i 0.317286 0.317286i
\(344\) −10.2083 3.75828i −0.550395 0.202633i
\(345\) 17.1100 + 0.949857i 0.921170 + 0.0511386i
\(346\) −8.69999 20.2373i −0.467714 1.08797i
\(347\) 11.3945i 0.611691i −0.952081 0.305845i \(-0.901061\pi\)
0.952081 0.305845i \(-0.0989391\pi\)
\(348\) −28.5546 + 0.760474i −1.53069 + 0.0407657i
\(349\) 12.0508 12.0508i 0.645066 0.645066i −0.306730 0.951796i \(-0.599235\pi\)
0.951796 + 0.306730i \(0.0992350\pi\)
\(350\) −21.2050 11.3187i −1.13346 0.605011i
\(351\) 3.12958i 0.167045i
\(352\) 20.2876 + 6.86150i 1.08134 + 0.365719i
\(353\) −6.47876 + 6.47876i −0.344830 + 0.344830i −0.858179 0.513350i \(-0.828404\pi\)
0.513350 + 0.858179i \(0.328404\pi\)
\(354\) −10.0096 + 25.1055i −0.532004 + 1.33434i
\(355\) 3.78798 3.38952i 0.201045 0.179897i
\(356\) 21.5203 22.6979i 1.14057 1.20299i
\(357\) 0.920653 0.0487261
\(358\) 11.5522 28.9746i 0.610553 1.53136i
\(359\) 3.25098i 0.171580i −0.996313 0.0857902i \(-0.972659\pi\)
0.996313 0.0857902i \(-0.0273415\pi\)
\(360\) −20.6429 + 8.17760i −1.08797 + 0.430997i
\(361\) 4.71699i 0.248263i
\(362\) −5.54929 2.21251i −0.291664 0.116287i
\(363\) −8.50553 −0.446424
\(364\) 16.3220 0.434694i 0.855507 0.0227841i
\(365\) 31.5456 + 1.75125i 1.65117 + 0.0916646i
\(366\) 48.5472 + 19.3558i 2.53760 + 1.01174i
\(367\) 12.7038 12.7038i 0.663132 0.663132i −0.292985 0.956117i \(-0.594649\pi\)
0.956117 + 0.292985i \(0.0946487\pi\)
\(368\) −8.93513 8.03080i −0.465776 0.418635i
\(369\) 5.99916i 0.312304i
\(370\) 7.25835 + 3.37148i 0.377344 + 0.175275i
\(371\) −3.11216 + 3.11216i −0.161575 + 0.161575i
\(372\) 5.80632 6.12405i 0.301044 0.317517i
\(373\) 21.9761i 1.13788i −0.822379 0.568939i \(-0.807354\pi\)
0.822379 0.568939i \(-0.192646\pi\)
\(374\) 0.522103 0.224451i 0.0269973 0.0116061i
\(375\) 23.2343 16.5530i 1.19982 0.854794i
\(376\) −7.81721 + 3.61013i −0.403142 + 0.186178i
\(377\) −9.50557 + 9.50557i −0.489562 + 0.489562i
\(378\) −5.81903 2.32005i −0.299299 0.119331i
\(379\) 17.0642 17.0642i 0.876527 0.876527i −0.116646 0.993174i \(-0.537214\pi\)
0.993174 + 0.116646i \(0.0372144\pi\)
\(380\) 12.2907 11.6017i 0.630500 0.595153i
\(381\) 1.73382 + 1.73382i 0.0888264 + 0.0888264i
\(382\) −8.40828 + 3.61470i −0.430205 + 0.184944i
\(383\) 0.228058 + 0.228058i 0.0116532 + 0.0116532i 0.712909 0.701256i \(-0.247377\pi\)
−0.701256 + 0.712909i \(0.747377\pi\)
\(384\) 27.5830 + 8.51755i 1.40759 + 0.434659i
\(385\) −19.1894 21.4453i −0.977985 1.09295i
\(386\) 20.6457 + 8.23145i 1.05084 + 0.418970i
\(387\) 13.5022 0.686354
\(388\) −14.1561 + 0.377011i −0.718668 + 0.0191398i
\(389\) 14.3036 + 14.3036i 0.725221 + 0.725221i 0.969664 0.244443i \(-0.0786050\pi\)
−0.244443 + 0.969664i \(0.578605\pi\)
\(390\) −8.16358 + 17.5751i −0.413379 + 0.889949i
\(391\) −0.318794 −0.0161221
\(392\) −4.45141 + 12.0910i −0.224830 + 0.610688i
\(393\) −13.8771 13.8771i −0.700009 0.700009i
\(394\) 14.0153 + 32.6015i 0.706081 + 1.64244i
\(395\) 14.5075 12.9815i 0.729953 0.653169i
\(396\) −26.5732 + 0.707707i −1.33535 + 0.0355636i
\(397\) 5.11618i 0.256774i 0.991724 + 0.128387i \(0.0409799\pi\)
−0.991724 + 0.128387i \(0.959020\pi\)
\(398\) −24.3711 + 10.4771i −1.22161 + 0.525170i
\(399\) 32.7804 1.64107
\(400\) −19.9668 1.15264i −0.998338 0.0576318i
\(401\) −16.2837 −0.813170 −0.406585 0.913613i \(-0.633281\pi\)
−0.406585 + 0.913613i \(0.633281\pi\)
\(402\) −35.2168 + 15.1396i −1.75645 + 0.755096i
\(403\) 3.97152i 0.197835i
\(404\) 0.479742 + 18.0135i 0.0238681 + 0.896207i
\(405\) −12.0095 + 10.7462i −0.596758 + 0.533985i
\(406\) −10.6275 24.7210i −0.527436 1.22688i
\(407\) 6.77518 + 6.77518i 0.335833 + 0.335833i
\(408\) 0.695457 0.321175i 0.0344303 0.0159005i
\(409\) 17.4256 0.861640 0.430820 0.902438i \(-0.358224\pi\)
0.430820 + 0.902438i \(0.358224\pi\)
\(410\) −2.27644 + 4.90087i −0.112425 + 0.242037i
\(411\) 19.0732 + 19.0732i 0.940810 + 0.940810i
\(412\) −0.145854 5.47659i −0.00718573 0.269812i
\(413\) −25.4604 −1.25283
\(414\) 13.8514 + 5.52256i 0.680758 + 0.271419i
\(415\) −16.5970 18.5481i −0.814714 0.910488i
\(416\) 12.1779 6.02239i 0.597073 0.295272i
\(417\) 29.4219 + 29.4219i 1.44080 + 1.44080i
\(418\) 18.5898 7.99172i 0.909257 0.390888i
\(419\) 11.7257 + 11.7257i 0.572837 + 0.572837i 0.932920 0.360083i \(-0.117252\pi\)
−0.360083 + 0.932920i \(0.617252\pi\)
\(420\) −26.6266 28.2080i −1.29924 1.37641i
\(421\) −23.5406 + 23.5406i −1.14730 + 1.14730i −0.160216 + 0.987082i \(0.551219\pi\)
−0.987082 + 0.160216i \(0.948781\pi\)
\(422\) −11.8687 4.73206i −0.577759 0.230353i
\(423\) 7.55728 7.55728i 0.367447 0.367447i
\(424\) −1.26522 + 3.43661i −0.0614445 + 0.166896i
\(425\) −0.414505 + 0.331428i −0.0201064 + 0.0160766i
\(426\) 7.53608 3.23974i 0.365124 0.156966i
\(427\) 49.2335i 2.38258i
\(428\) −10.1273 9.60186i −0.489521 0.464123i
\(429\) −16.4052 + 16.4052i −0.792049 + 0.792049i
\(430\) 11.0303 + 5.12353i 0.531927 + 0.247079i
\(431\) 35.0243i 1.68706i 0.537079 + 0.843532i \(0.319528\pi\)
−0.537079 + 0.843532i \(0.680472\pi\)
\(432\) −5.20503 + 0.277441i −0.250427 + 0.0133484i
\(433\) 10.1094 10.1094i 0.485828 0.485828i −0.421159 0.906987i \(-0.638376\pi\)
0.906987 + 0.421159i \(0.138376\pi\)
\(434\) 7.38449 + 2.94420i 0.354467 + 0.141326i
\(435\) 31.8872 + 1.77021i 1.52887 + 0.0848752i
\(436\) −0.0209147 0.785311i −0.00100163 0.0376096i
\(437\) −11.3509 −0.542985
\(438\) 47.3605 + 18.8827i 2.26297 + 0.902250i
\(439\) 22.6071i 1.07898i 0.841993 + 0.539488i \(0.181382\pi\)
−0.841993 + 0.539488i \(0.818618\pi\)
\(440\) −21.9769 9.50533i −1.04771 0.453149i
\(441\) 15.9923i 0.761540i
\(442\) 0.133514 0.334872i 0.00635061 0.0159282i
\(443\) −10.9178 −0.518721 −0.259360 0.965781i \(-0.583512\pi\)
−0.259360 + 0.965781i \(0.583512\pi\)
\(444\) 9.37241 + 8.88614i 0.444795 + 0.421717i
\(445\) −26.0601 + 23.3188i −1.23537 + 1.10542i
\(446\) 3.18337 7.98436i 0.150737 0.378071i
\(447\) 14.0638 14.0638i 0.665195 0.665195i
\(448\) 2.16993 + 27.1078i 0.102520 + 1.28072i
\(449\) 28.8112i 1.35969i −0.733358 0.679843i \(-0.762048\pi\)
0.733358 0.679843i \(-0.237952\pi\)
\(450\) 23.7513 7.21973i 1.11965 0.340341i
\(451\) −4.57463 + 4.57463i −0.215411 + 0.215411i
\(452\) −0.659318 24.7563i −0.0310117 1.16444i
\(453\) 10.5539i 0.495865i
\(454\) −16.2552 37.8117i −0.762893 1.77459i
\(455\) −18.2270 1.01187i −0.854495 0.0474371i
\(456\) 24.7622 11.4356i 1.15960 0.535522i
\(457\) 19.1653 19.1653i 0.896513 0.896513i −0.0986128 0.995126i \(-0.531441\pi\)
0.995126 + 0.0986128i \(0.0314405\pi\)
\(458\) 13.5848 34.0727i 0.634778 1.59211i
\(459\) −0.0978038 + 0.0978038i −0.00456509 + 0.00456509i
\(460\) 9.21996 + 9.76756i 0.429883 + 0.455415i
\(461\) 4.43227 + 4.43227i 0.206431 + 0.206431i 0.802749 0.596317i \(-0.203370\pi\)
−0.596317 + 0.802749i \(0.703370\pi\)
\(462\) −18.3415 42.6648i −0.853324 1.98495i
\(463\) −20.1518 20.1518i −0.936534 0.936534i 0.0615691 0.998103i \(-0.480390\pi\)
−0.998103 + 0.0615691i \(0.980390\pi\)
\(464\) −16.6521 14.9667i −0.773052 0.694811i
\(465\) −7.03120 + 6.29158i −0.326064 + 0.291765i
\(466\) −1.08634 + 2.72469i −0.0503236 + 0.126219i
\(467\) −3.89858 −0.180405 −0.0902025 0.995923i \(-0.528751\pi\)
−0.0902025 + 0.995923i \(0.528751\pi\)
\(468\) −11.6022 + 12.2371i −0.536310 + 0.565658i
\(469\) −25.5342 25.5342i −1.17906 1.17906i
\(470\) 9.04142 3.30606i 0.417050 0.152497i
\(471\) −51.7211 −2.38318
\(472\) −19.2327 + 8.88200i −0.885256 + 0.408827i
\(473\) 10.2960 + 10.2960i 0.473412 + 0.473412i
\(474\) 28.8623 12.4079i 1.32569 0.569912i
\(475\) −14.7587 + 11.8007i −0.677175 + 0.541453i
\(476\) 0.523671 + 0.496501i 0.0240024 + 0.0227571i
\(477\) 4.54548i 0.208123i
\(478\) 7.00590 + 16.2967i 0.320443 + 0.745392i
\(479\) −9.85299 −0.450194 −0.225097 0.974336i \(-0.572270\pi\)
−0.225097 + 0.974336i \(0.572270\pi\)
\(480\) −29.9541 12.0194i −1.36721 0.548606i
\(481\) 6.07811 0.277138
\(482\) −8.31500 19.3418i −0.378738 0.880994i
\(483\) 26.0510i 1.18536i
\(484\) −4.83797 4.58696i −0.219908 0.208498i
\(485\) 15.8083 + 0.877595i 0.717818 + 0.0398495i
\(486\) −28.9718 + 12.4549i −1.31419 + 0.564966i
\(487\) −13.9164 13.9164i −0.630611 0.630611i 0.317610 0.948221i \(-0.397120\pi\)
−0.948221 + 0.317610i \(0.897120\pi\)
\(488\) 17.1754 + 37.1908i 0.777492 + 1.68355i
\(489\) −33.6392 −1.52122
\(490\) 6.06845 13.0646i 0.274145 0.590197i
\(491\) 2.39213 + 2.39213i 0.107955 + 0.107955i 0.759021 0.651066i \(-0.225678\pi\)
−0.651066 + 0.759021i \(0.725678\pi\)
\(492\) −5.99996 + 6.32829i −0.270499 + 0.285301i
\(493\) −0.594124 −0.0267580
\(494\) 4.75384 11.9233i 0.213885 0.536456i
\(495\) 29.6746 + 1.64738i 1.33377 + 0.0740443i
\(496\) 6.60531 0.352079i 0.296587 0.0158088i
\(497\) 5.46408 + 5.46408i 0.245098 + 0.245098i
\(498\) −15.8636 36.9008i −0.710865 1.65357i
\(499\) 9.87034 + 9.87034i 0.441857 + 0.441857i 0.892636 0.450779i \(-0.148854\pi\)
−0.450779 + 0.892636i \(0.648854\pi\)
\(500\) 22.1427 + 3.11469i 0.990251 + 0.139293i
\(501\) 30.1575 30.1575i 1.34734 1.34734i
\(502\) −3.98837 + 10.0034i −0.178010 + 0.446474i
\(503\) 9.29035 9.29035i 0.414236 0.414236i −0.468975 0.883211i \(-0.655377\pi\)
0.883211 + 0.468975i \(0.155377\pi\)
\(504\) −14.1521 30.6443i −0.630384 1.36501i
\(505\) 1.11673 20.1159i 0.0496939 0.895146i
\(506\) 6.35110 + 14.7735i 0.282341 + 0.656763i
\(507\) 18.4536i 0.819553i
\(508\) 0.0511671 + 1.92124i 0.00227017 + 0.0852413i
\(509\) 6.53818 6.53818i 0.289800 0.289800i −0.547201 0.837001i \(-0.684307\pi\)
0.837001 + 0.547201i \(0.184307\pi\)
\(510\) −0.804369 + 0.294123i −0.0356181 + 0.0130240i
\(511\) 48.0301i 2.12473i
\(512\) 11.0958 + 19.7201i 0.490372 + 0.871513i
\(513\) −3.48236 + 3.48236i −0.153750 + 0.153750i
\(514\) −2.87878 + 7.22040i −0.126978 + 0.318478i
\(515\) −0.339516 + 6.11577i −0.0149608 + 0.269493i
\(516\) 14.2429 + 13.5040i 0.627011 + 0.594480i
\(517\) 11.5255 0.506893
\(518\) −4.50588 + 11.3014i −0.197977 + 0.496555i
\(519\) 39.7445i 1.74459i
\(520\) −14.1216 + 5.59422i −0.619272 + 0.245323i
\(521\) 14.2961i 0.626324i −0.949700 0.313162i \(-0.898612\pi\)
0.949700 0.313162i \(-0.101388\pi\)
\(522\) 25.8143 + 10.2922i 1.12986 + 0.450476i
\(523\) 16.0319 0.701027 0.350513 0.936558i \(-0.386007\pi\)
0.350513 + 0.936558i \(0.386007\pi\)
\(524\) −0.409530 15.3772i −0.0178904 0.671756i
\(525\) 27.0834 + 33.8721i 1.18201 + 1.47830i
\(526\) −31.5187 12.5665i −1.37428 0.547928i
\(527\) 0.124115 0.124115i 0.00540655 0.00540655i
\(528\) −28.7389 25.8302i −1.25070 1.12412i
\(529\) 13.9794i 0.607798i
\(530\) 1.72483 3.71332i 0.0749217 0.161297i
\(531\) 18.5932 18.5932i 0.806875 0.806875i
\(532\) 18.6456 + 17.6782i 0.808390 + 0.766448i
\(533\) 4.10397i 0.177762i
\(534\) −51.8458 + 22.2884i −2.24359 + 0.964514i
\(535\) 10.4043 + 11.6274i 0.449819 + 0.502697i
\(536\) −28.1961 10.3807i −1.21789 0.448376i
\(537\) −39.7957 + 39.7957i −1.71731 + 1.71731i
\(538\) 4.74631 + 1.89236i 0.204628 + 0.0815854i
\(539\) 12.1949 12.1949i 0.525271 0.525271i
\(540\) 5.82524 + 0.167999i 0.250678 + 0.00722953i
\(541\) −14.3926 14.3926i −0.618785 0.618785i 0.326435 0.945220i \(-0.394153\pi\)
−0.945220 + 0.326435i \(0.894153\pi\)
\(542\) 4.33536 1.86376i 0.186220 0.0800555i
\(543\) 7.62178 + 7.62178i 0.327082 + 0.327082i
\(544\) 0.568785 + 0.192369i 0.0243865 + 0.00824777i
\(545\) −0.0486846 + 0.876965i −0.00208542 + 0.0375651i
\(546\) −27.3648 10.9104i −1.17111 0.466921i
\(547\) −11.6741 −0.499148 −0.249574 0.968356i \(-0.580291\pi\)
−0.249574 + 0.968356i \(0.580291\pi\)
\(548\) 0.562871 + 21.1349i 0.0240447 + 0.902838i
\(549\) −35.9541 35.9541i −1.53448 1.53448i
\(550\) 23.6169 + 12.6061i 1.00703 + 0.537526i
\(551\) −21.1541 −0.901197
\(552\) 9.08801 + 19.6788i 0.386811 + 0.837584i
\(553\) 20.9268 + 20.9268i 0.889898 + 0.889898i
\(554\) −2.57340 5.98608i −0.109333 0.254324i
\(555\) −9.62880 10.7607i −0.408720 0.456767i
\(556\) 0.868274 + 32.6023i 0.0368230 + 1.38264i
\(557\) 39.6712i 1.68092i −0.541873 0.840460i \(-0.682285\pi\)
0.541873 0.840460i \(-0.317715\pi\)
\(558\) −7.54281 + 3.24264i −0.319313 + 0.137272i
\(559\) 9.23671 0.390671
\(560\) 0.0670669 30.4043i 0.00283409 1.28482i
\(561\) −1.02537 −0.0432911
\(562\) 28.7364 12.3537i 1.21217 0.521110i
\(563\) 12.4534i 0.524850i 0.964952 + 0.262425i \(0.0845222\pi\)
−0.964952 + 0.262425i \(0.915478\pi\)
\(564\) 15.5302 0.413605i 0.653939 0.0174159i
\(565\) −1.53474 + 27.6456i −0.0645671 + 1.16306i
\(566\) 6.06740 + 14.1136i 0.255032 + 0.593238i
\(567\) −17.3235 17.3235i −0.727519 0.727519i
\(568\) 6.03371 + 2.22137i 0.253169 + 0.0932066i
\(569\) 5.62622 0.235863 0.117932 0.993022i \(-0.462374\pi\)
0.117932 + 0.993022i \(0.462374\pi\)
\(570\) −28.6400 + 10.4724i −1.19960 + 0.438641i
\(571\) 23.1808 + 23.1808i 0.970086 + 0.970086i 0.999565 0.0294797i \(-0.00938505\pi\)
−0.0294797 + 0.999565i \(0.509385\pi\)
\(572\) −18.1785 + 0.484136i −0.760081 + 0.0202427i
\(573\) 16.5132 0.689848
\(574\) −7.63076 3.04239i −0.318502 0.126987i
\(575\) −9.37814 11.7289i −0.391095 0.489128i
\(576\) −21.3808 18.2115i −0.890869 0.758814i
\(577\) −25.6307 25.6307i −1.06702 1.06702i −0.997587 0.0694322i \(-0.977881\pi\)
−0.0694322 0.997587i \(-0.522119\pi\)
\(578\) −22.0725 + 9.48892i −0.918094 + 0.394687i
\(579\) −28.3562 28.3562i −1.17844 1.17844i
\(580\) 17.1829 + 18.2034i 0.713480 + 0.755856i
\(581\) 26.7552 26.7552i 1.10999 1.10999i
\(582\) 23.7335 + 9.46259i 0.983787 + 0.392237i
\(583\) 3.46614 3.46614i 0.143553 0.143553i
\(584\) 16.7555 + 36.2817i 0.693349 + 1.50135i
\(585\) 14.0497 12.5718i 0.580884 0.519780i
\(586\) 23.9147 10.2809i 0.987908 0.424700i
\(587\) 25.5579i 1.05489i 0.849590 + 0.527444i \(0.176849\pi\)
−0.849590 + 0.527444i \(0.823151\pi\)
\(588\) 15.9945 16.8697i 0.659602 0.695696i
\(589\) 4.41920 4.41920i 0.182090 0.182090i
\(590\) 22.2446 8.13389i 0.915796 0.334867i
\(591\) 64.0266i 2.63370i
\(592\) 0.538831 + 10.1089i 0.0221458 + 0.415474i
\(593\) 2.96607 2.96607i 0.121802 0.121802i −0.643578 0.765380i \(-0.722551\pi\)
0.765380 + 0.643578i \(0.222551\pi\)
\(594\) 6.48088 + 2.58393i 0.265914 + 0.106020i
\(595\) −0.537996 0.601241i −0.0220557 0.0246485i
\(596\) 15.5840 0.415039i 0.638347 0.0170007i
\(597\) 47.8629 1.95890
\(598\) 9.47559 + 3.77793i 0.387486 + 0.154491i
\(599\) 5.14724i 0.210311i 0.994456 + 0.105155i \(0.0335340\pi\)
−0.994456 + 0.105155i \(0.966466\pi\)
\(600\) 32.2751 + 16.1387i 1.31763 + 0.658859i
\(601\) 33.5619i 1.36902i 0.729005 + 0.684509i \(0.239983\pi\)
−0.729005 + 0.684509i \(0.760017\pi\)
\(602\) −6.84745 + 17.1744i −0.279081 + 0.699976i
\(603\) 37.2940 1.51873
\(604\) 5.69163 6.00309i 0.231589 0.244262i
\(605\) 4.97032 + 5.55461i 0.202072 + 0.225827i
\(606\) 12.0411 30.2007i 0.489134 1.22682i
\(607\) 3.29572 3.29572i 0.133769 0.133769i −0.637052 0.770821i \(-0.719846\pi\)
0.770821 + 0.637052i \(0.219846\pi\)
\(608\) 20.2519 + 6.84943i 0.821325 + 0.277781i
\(609\) 48.5501i 1.96735i
\(610\) −15.7287 43.0150i −0.636838 1.74163i
\(611\) 5.16986 5.16986i 0.209150 0.209150i
\(612\) −0.745008 + 0.0198413i −0.0301152 + 0.000802037i
\(613\) 0.261903i 0.0105781i −0.999986 0.00528907i \(-0.998316\pi\)
0.999986 0.00528907i \(-0.00168357\pi\)
\(614\) 3.69125 + 8.58633i 0.148967 + 0.346516i
\(615\) 7.26568 6.50140i 0.292981 0.262162i
\(616\) 12.5761 34.1593i 0.506704 1.37632i
\(617\) −12.1529 + 12.1529i −0.489259 + 0.489259i −0.908072 0.418813i \(-0.862446\pi\)
0.418813 + 0.908072i \(0.362446\pi\)
\(618\) −3.66080 + 9.18181i −0.147259 + 0.369347i
\(619\) 12.1134 12.1134i 0.486877 0.486877i −0.420442 0.907319i \(-0.638125\pi\)
0.907319 + 0.420442i \(0.138125\pi\)
\(620\) −7.39237 0.213195i −0.296885 0.00856211i
\(621\) −2.76747 2.76747i −0.111055 0.111055i
\(622\) 0.338534 + 0.787474i 0.0135740 + 0.0315748i
\(623\) −37.5911 37.5911i −1.50606 1.50606i
\(624\) −24.4774 + 1.30470i −0.979880 + 0.0522300i
\(625\) −24.3874 5.50042i −0.975496 0.220017i
\(626\) −14.3479 + 35.9867i −0.573459 + 1.43832i
\(627\) −36.5089 −1.45802
\(628\) −29.4191 27.8928i −1.17395 1.11304i
\(629\) 0.189949 + 0.189949i 0.00757377 + 0.00757377i
\(630\) 12.9601 + 35.4433i 0.516342 + 1.41210i
\(631\) 49.8568 1.98477 0.992384 0.123179i \(-0.0393090\pi\)
0.992384 + 0.123179i \(0.0393090\pi\)
\(632\) 23.1084 + 8.50759i 0.919204 + 0.338414i
\(633\) 16.3013 + 16.3013i 0.647917 + 0.647917i
\(634\) −9.15093 + 3.93397i −0.363430 + 0.156238i
\(635\) 0.119105 2.14547i 0.00472656 0.0851404i
\(636\) 4.54609 4.79486i 0.180264 0.190129i
\(637\) 10.9402i 0.433467i
\(638\) 11.8363 + 27.5328i 0.468604 + 1.09003i
\(639\) −7.98059 −0.315707
\(640\) −10.5560 22.9907i −0.417264 0.908785i
\(641\) −4.10036 −0.161954 −0.0809772 0.996716i \(-0.525804\pi\)
−0.0809772 + 0.996716i \(0.525804\pi\)
\(642\) 9.94459 + 23.1324i 0.392482 + 0.912964i
\(643\) 18.7451i 0.739233i 0.929184 + 0.369617i \(0.120511\pi\)
−0.929184 + 0.369617i \(0.879489\pi\)
\(644\) −14.0491 + 14.8179i −0.553611 + 0.583906i
\(645\) −14.6326 16.3527i −0.576157 0.643888i
\(646\) 0.521184 0.224056i 0.0205057 0.00881537i
\(647\) 5.46529 + 5.46529i 0.214863 + 0.214863i 0.806330 0.591467i \(-0.201451\pi\)
−0.591467 + 0.806330i \(0.701451\pi\)
\(648\) −19.1295 7.04270i −0.751477 0.276663i
\(649\) 28.3563 1.11308
\(650\) 16.2481 4.93895i 0.637302 0.193721i
\(651\) −10.1424 10.1424i −0.397510 0.397510i
\(652\) −19.1341 18.1414i −0.749350 0.710471i
\(653\) −33.9219 −1.32747 −0.663733 0.747970i \(-0.731029\pi\)
−0.663733 + 0.747970i \(0.731029\pi\)
\(654\) −0.524937 + 1.31662i −0.0205267 + 0.0514838i
\(655\) −0.953294 + 17.1719i −0.0372483 + 0.670961i
\(656\) −6.82559 + 0.363821i −0.266495 + 0.0142048i
\(657\) −35.0753 35.0753i −1.36842 1.36842i
\(658\) 5.78007 + 13.4452i 0.225331 + 0.524149i
\(659\) −26.4961 26.4961i −1.03214 1.03214i −0.999466 0.0326746i \(-0.989598\pi\)
−0.0326746 0.999466i \(-0.510402\pi\)
\(660\) 29.6551 + 31.4163i 1.15432 + 1.22288i
\(661\) 10.6974 10.6974i 0.416081 0.416081i −0.467769 0.883851i \(-0.654942\pi\)
0.883851 + 0.467769i \(0.154942\pi\)
\(662\) −9.79759 + 24.5738i −0.380794 + 0.955087i
\(663\) −0.459936 + 0.459936i −0.0178624 + 0.0178624i
\(664\) 10.8771 29.5444i 0.422112 1.14655i
\(665\) −19.1557 21.4075i −0.742826 0.830149i
\(666\) −4.96262 11.5437i −0.192297 0.447309i
\(667\) 16.8114i 0.650941i
\(668\) 33.4174 0.889984i 1.29296 0.0344345i
\(669\) −10.9663 + 10.9663i −0.423980 + 0.423980i
\(670\) 30.4665 + 14.1516i 1.17702 + 0.546723i
\(671\) 54.8333i 2.11682i
\(672\) 15.7199 46.4795i 0.606408 1.79299i
\(673\) −6.70854 + 6.70854i −0.258595 + 0.258595i −0.824483 0.565887i \(-0.808534\pi\)
0.565887 + 0.824483i \(0.308534\pi\)
\(674\) 5.72774 14.3660i 0.220624 0.553358i
\(675\) −6.47549 0.721194i −0.249242 0.0277588i
\(676\) 9.95188 10.4965i 0.382764 0.403710i
\(677\) 13.1970 0.507200 0.253600 0.967309i \(-0.418385\pi\)
0.253600 + 0.967309i \(0.418385\pi\)
\(678\) −16.5482 + 41.5053i −0.635530 + 1.59400i
\(679\) 24.0691i 0.923686i
\(680\) −0.616146 0.266492i −0.0236281 0.0102195i
\(681\) 74.2591i 2.84561i
\(682\) −8.22440 3.27908i −0.314928 0.125562i
\(683\) −37.9089 −1.45054 −0.725272 0.688462i \(-0.758286\pi\)
−0.725272 + 0.688462i \(0.758286\pi\)
\(684\) −26.5265 + 0.706462i −1.01427 + 0.0270122i
\(685\) 1.31024 23.6016i 0.0500616 0.901770i
\(686\) −10.9168 4.35252i −0.416804 0.166180i
\(687\) −46.7978 + 46.7978i −1.78545 + 1.78545i
\(688\) 0.818844 + 15.3622i 0.0312181 + 0.585679i
\(689\) 3.10952i 0.118463i
\(690\) −8.32255 22.7605i −0.316834 0.866479i
\(691\) 20.8280 20.8280i 0.792335 0.792335i −0.189538 0.981873i \(-0.560699\pi\)
0.981873 + 0.189538i \(0.0606991\pi\)
\(692\) −21.4339 + 22.6068i −0.814794 + 0.859382i
\(693\) 45.1813i 1.71630i
\(694\) −14.8043 + 6.36433i −0.561962 + 0.241586i
\(695\) 2.02114 36.4073i 0.0766664 1.38101i
\(696\) 16.9370 + 36.6745i 0.641994 + 1.39015i
\(697\) −0.128255 + 0.128255i −0.00485799 + 0.00485799i
\(698\) −22.3878 8.92605i −0.847392 0.337856i
\(699\) 3.74227 3.74227i 0.141546 0.141546i
\(700\) −2.86188 + 33.8724i −0.108169 + 1.28026i
\(701\) 19.9053 + 19.9053i 0.751812 + 0.751812i 0.974817 0.223005i \(-0.0715868\pi\)
−0.223005 + 0.974817i \(0.571587\pi\)
\(702\) 4.06609 1.74800i 0.153465 0.0659741i
\(703\) 6.76326 + 6.76326i 0.255081 + 0.255081i
\(704\) −2.41674 30.1910i −0.0910844 1.13787i
\(705\) −17.3427 0.962778i −0.653165 0.0362603i
\(706\) 12.0361 + 4.79882i 0.452986 + 0.180606i
\(707\) 30.6277 1.15187
\(708\) 38.2089 1.01759i 1.43598 0.0382435i
\(709\) 8.57112 + 8.57112i 0.321895 + 0.321895i 0.849494 0.527599i \(-0.176908\pi\)
−0.527599 + 0.849494i \(0.676908\pi\)
\(710\) −6.51955 3.02831i −0.244674 0.113651i
\(711\) −30.5647 −1.14627
\(712\) −41.5100 15.2823i −1.55565 0.572729i
\(713\) 3.51199 + 3.51199i 0.131525 + 0.131525i
\(714\) −0.514224 1.19615i −0.0192443 0.0447649i
\(715\) 20.3001 + 1.12696i 0.759182 + 0.0421458i
\(716\) −44.0975 + 1.17442i −1.64800 + 0.0438901i
\(717\) 32.0053i 1.19526i
\(718\) −4.22382 + 1.81581i −0.157631 + 0.0677655i
\(719\) 33.1900 1.23778 0.618889 0.785478i \(-0.287583\pi\)
0.618889 + 0.785478i \(0.287583\pi\)
\(720\) 22.1546 + 22.2525i 0.825653 + 0.829303i
\(721\) −9.31162 −0.346783
\(722\) −6.12852 + 2.63464i −0.228080 + 0.0980511i
\(723\) 37.9857i 1.41270i
\(724\) 0.224927 + 8.44566i 0.00835936 + 0.313880i
\(725\) −17.4777 21.8587i −0.649104 0.811810i
\(726\) 4.75069 + 11.0507i 0.176315 + 0.410131i
\(727\) 5.06503 + 5.06503i 0.187852 + 0.187852i 0.794767 0.606915i \(-0.207593\pi\)
−0.606915 + 0.794767i \(0.707593\pi\)
\(728\) −9.68131 20.9635i −0.358813 0.776958i
\(729\) 35.2770 1.30655
\(730\) −15.3443 41.9636i −0.567916 1.55314i
\(731\) 0.288660 + 0.288660i 0.0106765 + 0.0106765i
\(732\) −1.96775 73.8856i −0.0727300 2.73089i
\(733\) 43.0744 1.59099 0.795494 0.605961i \(-0.207211\pi\)
0.795494 + 0.605961i \(0.207211\pi\)
\(734\) −23.6009 9.40969i −0.871124 0.347318i
\(735\) −19.3686 + 17.3312i −0.714422 + 0.639272i
\(736\) −5.44332 + 16.0944i −0.200643 + 0.593249i
\(737\) 28.4384 + 28.4384i 1.04754 + 1.04754i
\(738\) 7.79436 3.35078i 0.286914 0.123344i
\(739\) −11.3838 11.3838i −0.418762 0.418762i 0.466015 0.884777i \(-0.345689\pi\)
−0.884777 + 0.466015i \(0.845689\pi\)
\(740\) 0.326279 11.3135i 0.0119942 0.415891i
\(741\) −16.3763 + 16.3763i −0.601599 + 0.601599i
\(742\) 5.78173 + 2.30518i 0.212254 + 0.0846258i
\(743\) 1.54795 1.54795i 0.0567888 0.0567888i −0.678142 0.734931i \(-0.737215\pi\)
0.734931 + 0.678142i \(0.237215\pi\)
\(744\) −11.1997 4.12328i −0.410601 0.151167i
\(745\) −17.4029 0.966116i −0.637591 0.0353958i
\(746\) −28.5523 + 12.2746i −1.04537 + 0.449404i
\(747\) 39.0774i 1.42977i
\(748\) −0.583233 0.552973i −0.0213251 0.0202187i
\(749\) −16.7723 + 16.7723i −0.612847 + 0.612847i
\(750\) −34.4837 20.9415i −1.25917 0.764675i
\(751\) 1.49244i 0.0544600i −0.999629 0.0272300i \(-0.991331\pi\)
0.999629 0.0272300i \(-0.00866865\pi\)
\(752\) 9.05667 + 8.14005i 0.330263 + 0.296837i
\(753\) 13.7394 13.7394i 0.500690 0.500690i
\(754\) 17.6593 + 7.04078i 0.643113 + 0.256410i
\(755\) −6.89231 + 6.16731i −0.250837 + 0.224451i
\(756\) 0.235861 + 8.85618i 0.00857817 + 0.322096i
\(757\) −22.7030 −0.825154 −0.412577 0.910923i \(-0.635371\pi\)
−0.412577 + 0.910923i \(0.635371\pi\)
\(758\) −31.7015 12.6394i −1.15145 0.459085i
\(759\) 29.0140i 1.05314i
\(760\) −21.9382 9.48860i −0.795784 0.344188i
\(761\) 33.6599i 1.22017i −0.792335 0.610086i \(-0.791135\pi\)
0.792335 0.610086i \(-0.208865\pi\)
\(762\) 1.28424 3.22107i 0.0465232 0.116687i
\(763\) −1.33523 −0.0483386
\(764\) 9.39275 + 8.90543i 0.339818 + 0.322187i
\(765\) 0.831959 + 0.0461860i 0.0300795 + 0.00166986i
\(766\) 0.168923 0.423683i 0.00610343 0.0153083i
\(767\) 12.7194 12.7194i 0.459271 0.459271i
\(768\) −4.33989 40.5944i −0.156602 1.46482i
\(769\) 10.1943i 0.367615i 0.982962 + 0.183808i \(0.0588423\pi\)
−0.982962 + 0.183808i \(0.941158\pi\)
\(770\) −17.1445 + 36.9098i −0.617845 + 1.33014i
\(771\) 9.91699 9.91699i 0.357152 0.357152i
\(772\) −0.836823 31.4213i −0.0301179 1.13088i
\(773\) 7.34419i 0.264152i −0.991240 0.132076i \(-0.957836\pi\)
0.991240 0.132076i \(-0.0421643\pi\)