Properties

Label 690.2.w.a.7.7
Level $690$
Weight $2$
Character 690.7
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.w (of order \(44\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 7.7
Character \(\chi\) \(=\) 690.7
Dual form 690.2.w.a.493.7

$q$-expansion

\(f(q)\) \(=\) \(q+(0.997452 - 0.0713392i) q^{2} +(-0.212565 + 0.977147i) q^{3} +(0.989821 - 0.142315i) q^{4} +(-2.14628 - 0.627266i) q^{5} +(-0.142315 + 0.989821i) q^{6} +(-0.236933 + 0.433910i) q^{7} +(0.977147 - 0.212565i) q^{8} +(-0.909632 - 0.415415i) q^{9} +O(q^{10})\) \(q+(0.997452 - 0.0713392i) q^{2} +(-0.212565 + 0.977147i) q^{3} +(0.989821 - 0.142315i) q^{4} +(-2.14628 - 0.627266i) q^{5} +(-0.142315 + 0.989821i) q^{6} +(-0.236933 + 0.433910i) q^{7} +(0.977147 - 0.212565i) q^{8} +(-0.909632 - 0.415415i) q^{9} +(-2.18556 - 0.472554i) q^{10} +(-3.22211 + 2.79198i) q^{11} +(-0.0713392 + 0.997452i) q^{12} +(-4.47532 + 2.44371i) q^{13} +(-0.205374 + 0.449707i) q^{14} +(1.06916 - 1.96390i) q^{15} +(0.959493 - 0.281733i) q^{16} +(4.21004 + 5.62395i) q^{17} +(-0.936950 - 0.349464i) q^{18} +(1.01115 + 7.03273i) q^{19} +(-2.21371 - 0.315433i) q^{20} +(-0.373630 - 0.323752i) q^{21} +(-3.01472 + 3.01472i) q^{22} +(-1.95743 - 4.37818i) q^{23} +1.00000i q^{24} +(4.21307 + 2.69258i) q^{25} +(-4.28958 + 2.75675i) q^{26} +(0.599278 - 0.800541i) q^{27} +(-0.172769 + 0.463212i) q^{28} +(-4.61015 - 0.662840i) q^{29} +(0.926329 - 2.03517i) q^{30} +(0.0976994 + 0.0627876i) q^{31} +(0.936950 - 0.349464i) q^{32} +(-2.04326 - 3.74195i) q^{33} +(4.60052 + 5.30928i) q^{34} +(0.780701 - 0.782674i) q^{35} +(-0.959493 - 0.281733i) q^{36} +(-1.46440 - 3.92621i) q^{37} +(1.51029 + 6.94268i) q^{38} +(-1.43657 - 4.89249i) q^{39} +(-2.23057 - 0.156705i) q^{40} +(-3.92166 - 8.58723i) q^{41} +(-0.395774 - 0.296273i) q^{42} +(7.47099 + 1.62521i) q^{43} +(-2.79198 + 3.22211i) q^{44} +(1.69175 + 1.46218i) q^{45} +(-2.26478 - 4.22738i) q^{46} +(0.867374 + 0.867374i) q^{47} +(0.0713392 + 0.997452i) q^{48} +(3.65235 + 5.68316i) q^{49} +(4.39443 + 2.38516i) q^{50} +(-6.39034 + 2.91837i) q^{51} +(-4.08199 + 3.05574i) q^{52} +(-8.31202 - 4.53871i) q^{53} +(0.540641 - 0.841254i) q^{54} +(8.66688 - 3.97125i) q^{55} +(-0.139284 + 0.474357i) q^{56} +(-7.08695 - 0.506868i) q^{57} +(-4.64569 - 0.332266i) q^{58} +(-1.73857 + 5.92101i) q^{59} +(0.778782 - 2.09607i) q^{60} +(-2.51209 + 3.90888i) q^{61} +(0.101930 + 0.0556578i) q^{62} +(0.395774 - 0.296273i) q^{63} +(0.909632 - 0.415415i) q^{64} +(11.1382 - 2.43768i) q^{65} +(-2.30500 - 3.58665i) q^{66} +(-0.102805 - 1.43740i) q^{67} +(4.96756 + 4.96756i) q^{68} +(4.69421 - 0.982050i) q^{69} +(0.722877 - 0.836374i) q^{70} +(-0.855805 + 0.987652i) q^{71} +(-0.977147 - 0.212565i) q^{72} +(-4.89275 - 3.66267i) q^{73} +(-1.74076 - 3.81174i) q^{74} +(-3.52660 + 3.54444i) q^{75} +(2.00172 + 6.81724i) q^{76} +(-0.448042 - 2.05962i) q^{77} +(-1.78193 - 4.77754i) q^{78} +(6.31931 + 1.85552i) q^{79} +(-2.23607 + 0.00282101i) q^{80} +(0.654861 + 0.755750i) q^{81} +(-4.52427 - 8.28559i) q^{82} +(15.1240 - 5.64096i) q^{83} +(-0.415902 - 0.267284i) q^{84} +(-5.50823 - 14.7114i) q^{85} +(7.56789 + 1.08810i) q^{86} +(1.62765 - 4.36390i) q^{87} +(-2.55500 + 3.41308i) q^{88} +(7.84941 - 5.04451i) q^{89} +(1.79175 + 1.33777i) q^{90} -2.52088i q^{91} +(-2.56059 - 4.05504i) q^{92} +(-0.0821202 + 0.0821202i) q^{93} +(0.927042 + 0.803286i) q^{94} +(2.24117 - 15.7285i) q^{95} +(0.142315 + 0.989821i) q^{96} +(17.2808 + 6.44540i) q^{97} +(4.04847 + 5.40812i) q^{98} +(4.09076 - 1.20116i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 24q^{6} + O(q^{10}) \) \( 240q - 24q^{6} + 44q^{10} - 16q^{13} + 24q^{16} + 44q^{21} + 72q^{23} + 16q^{25} + 44q^{28} - 16q^{31} - 44q^{33} - 24q^{36} + 44q^{37} + 88q^{43} - 8q^{46} + 48q^{47} + 8q^{50} - 16q^{52} + 56q^{55} + 44q^{57} + 16q^{58} + 88q^{61} + 8q^{62} + 88q^{65} - 132q^{67} + 56q^{70} - 64q^{71} + 16q^{73} - 32q^{75} - 16q^{77} - 16q^{78} + 24q^{81} - 24q^{82} + 92q^{85} - 16q^{87} - 44q^{88} + 116q^{92} - 80q^{93} + 20q^{95} + 24q^{96} - 88q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(1\) \(e\left(\frac{19}{22}\right)\)

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 \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.997452 0.0713392i 0.705305 0.0504444i
\(3\) −0.212565 + 0.977147i −0.122725 + 0.564156i
\(4\) 0.989821 0.142315i 0.494911 0.0711574i
\(5\) −2.14628 0.627266i −0.959848 0.280522i
\(6\) −0.142315 + 0.989821i −0.0580998 + 0.404093i
\(7\) −0.236933 + 0.433910i −0.0895521 + 0.164002i −0.918616 0.395151i \(-0.870692\pi\)
0.829064 + 0.559154i \(0.188874\pi\)
\(8\) 0.977147 0.212565i 0.345474 0.0751532i
\(9\) −0.909632 0.415415i −0.303211 0.138472i
\(10\) −2.18556 0.472554i −0.691136 0.149435i
\(11\) −3.22211 + 2.79198i −0.971503 + 0.841812i −0.987429 0.158061i \(-0.949476\pi\)
0.0159262 + 0.999873i \(0.494930\pi\)
\(12\) −0.0713392 + 0.997452i −0.0205938 + 0.287940i
\(13\) −4.47532 + 2.44371i −1.24123 + 0.677763i −0.959494 0.281729i \(-0.909092\pi\)
−0.281736 + 0.959492i \(0.590910\pi\)
\(14\) −0.205374 + 0.449707i −0.0548885 + 0.120189i
\(15\) 1.06916 1.96390i 0.276055 0.507077i
\(16\) 0.959493 0.281733i 0.239873 0.0704331i
\(17\) 4.21004 + 5.62395i 1.02108 + 1.36401i 0.929751 + 0.368189i \(0.120022\pi\)
0.0913334 + 0.995820i \(0.470887\pi\)
\(18\) −0.936950 0.349464i −0.220841 0.0823695i
\(19\) 1.01115 + 7.03273i 0.231975 + 1.61342i 0.689543 + 0.724244i \(0.257811\pi\)
−0.457569 + 0.889174i \(0.651280\pi\)
\(20\) −2.21371 0.315433i −0.495000 0.0705330i
\(21\) −0.373630 0.323752i −0.0815327 0.0706485i
\(22\) −3.01472 + 3.01472i −0.642741 + 0.642741i
\(23\) −1.95743 4.37818i −0.408153 0.912914i
\(24\) 1.00000i 0.204124i
\(25\) 4.21307 + 2.69258i 0.842615 + 0.538516i
\(26\) −4.28958 + 2.75675i −0.841257 + 0.540643i
\(27\) 0.599278 0.800541i 0.115331 0.154064i
\(28\) −0.172769 + 0.463212i −0.0326503 + 0.0875389i
\(29\) −4.61015 0.662840i −0.856084 0.123086i −0.299722 0.954027i \(-0.596894\pi\)
−0.556362 + 0.830940i \(0.687803\pi\)
\(30\) 0.926329 2.03517i 0.169124 0.371569i
\(31\) 0.0976994 + 0.0627876i 0.0175473 + 0.0112770i 0.549385 0.835569i \(-0.314862\pi\)
−0.531838 + 0.846846i \(0.678498\pi\)
\(32\) 0.936950 0.349464i 0.165631 0.0617771i
\(33\) −2.04326 3.74195i −0.355686 0.651390i
\(34\) 4.60052 + 5.30928i 0.788983 + 0.910535i
\(35\) 0.780701 0.782674i 0.131963 0.132296i
\(36\) −0.959493 0.281733i −0.159915 0.0469554i
\(37\) −1.46440 3.92621i −0.240746 0.645466i 0.759239 0.650811i \(-0.225571\pi\)
−0.999986 + 0.00534568i \(0.998298\pi\)
\(38\) 1.51029 + 6.94268i 0.245001 + 1.12625i
\(39\) −1.43657 4.89249i −0.230035 0.783426i
\(40\) −2.23057 0.156705i −0.352684 0.0247773i
\(41\) −3.92166 8.58723i −0.612460 1.34110i −0.920878 0.389850i \(-0.872527\pi\)
0.308418 0.951251i \(-0.400200\pi\)
\(42\) −0.395774 0.296273i −0.0610693 0.0457159i
\(43\) 7.47099 + 1.62521i 1.13931 + 0.247843i 0.742364 0.669997i \(-0.233705\pi\)
0.396951 + 0.917840i \(0.370068\pi\)
\(44\) −2.79198 + 3.22211i −0.420906 + 0.485752i
\(45\) 1.69175 + 1.46218i 0.252192 + 0.217969i
\(46\) −2.26478 4.22738i −0.333924 0.623294i
\(47\) 0.867374 + 0.867374i 0.126519 + 0.126519i 0.767531 0.641012i \(-0.221485\pi\)
−0.641012 + 0.767531i \(0.721485\pi\)
\(48\) 0.0713392 + 0.997452i 0.0102969 + 0.143970i
\(49\) 3.65235 + 5.68316i 0.521764 + 0.811880i
\(50\) 4.39443 + 2.38516i 0.621466 + 0.337313i
\(51\) −6.39034 + 2.91837i −0.894826 + 0.408653i
\(52\) −4.08199 + 3.05574i −0.566070 + 0.423755i
\(53\) −8.31202 4.53871i −1.14174 0.623439i −0.206852 0.978372i \(-0.566322\pi\)
−0.934892 + 0.354933i \(0.884504\pi\)
\(54\) 0.540641 0.841254i 0.0735719 0.114480i
\(55\) 8.66688 3.97125i 1.16864 0.535484i
\(56\) −0.139284 + 0.474357i −0.0186126 + 0.0633886i
\(57\) −7.08695 0.506868i −0.938689 0.0671364i
\(58\) −4.64569 0.332266i −0.610009 0.0436287i
\(59\) −1.73857 + 5.92101i −0.226342 + 0.770850i 0.765507 + 0.643428i \(0.222488\pi\)
−0.991849 + 0.127422i \(0.959330\pi\)
\(60\) 0.778782 2.09607i 0.100540 0.270601i
\(61\) −2.51209 + 3.90888i −0.321640 + 0.500481i −0.963993 0.265928i \(-0.914322\pi\)
0.642353 + 0.766409i \(0.277958\pi\)
\(62\) 0.101930 + 0.0556578i 0.0129451 + 0.00706855i
\(63\) 0.395774 0.296273i 0.0498628 0.0373269i
\(64\) 0.909632 0.415415i 0.113704 0.0519269i
\(65\) 11.1382 2.43768i 1.38152 0.302357i
\(66\) −2.30500 3.58665i −0.283726 0.441487i
\(67\) −0.102805 1.43740i −0.0125596 0.175606i −0.999860 0.0167408i \(-0.994671\pi\)
0.987300 0.158865i \(-0.0507836\pi\)
\(68\) 4.96756 + 4.96756i 0.602405 + 0.602405i
\(69\) 4.69421 0.982050i 0.565116 0.118225i
\(70\) 0.722877 0.836374i 0.0864003 0.0999658i
\(71\) −0.855805 + 0.987652i −0.101565 + 0.117213i −0.804256 0.594282i \(-0.797436\pi\)
0.702691 + 0.711495i \(0.251982\pi\)
\(72\) −0.977147 0.212565i −0.115158 0.0250511i
\(73\) −4.89275 3.66267i −0.572653 0.428683i 0.273309 0.961926i \(-0.411882\pi\)
−0.845962 + 0.533244i \(0.820973\pi\)
\(74\) −1.74076 3.81174i −0.202360 0.443106i
\(75\) −3.52660 + 3.54444i −0.407217 + 0.409277i
\(76\) 2.00172 + 6.81724i 0.229613 + 0.781992i
\(77\) −0.448042 2.05962i −0.0510591 0.234715i
\(78\) −1.78193 4.77754i −0.201764 0.540950i
\(79\) 6.31931 + 1.85552i 0.710978 + 0.208762i 0.617172 0.786829i \(-0.288278\pi\)
0.0938062 + 0.995590i \(0.470097\pi\)
\(80\) −2.23607 + 0.00282101i −0.250000 + 0.000315399i
\(81\) 0.654861 + 0.755750i 0.0727623 + 0.0839722i
\(82\) −4.52427 8.28559i −0.499622 0.914990i
\(83\) 15.1240 5.64096i 1.66008 0.619176i 0.667925 0.744229i \(-0.267183\pi\)
0.992150 + 0.125053i \(0.0399100\pi\)
\(84\) −0.415902 0.267284i −0.0453786 0.0291630i
\(85\) −5.50823 14.7114i −0.597451 1.59568i
\(86\) 7.56789 + 1.08810i 0.816067 + 0.117333i
\(87\) 1.62765 4.36390i 0.174502 0.467859i
\(88\) −2.55500 + 3.41308i −0.272364 + 0.363835i
\(89\) 7.84941 5.04451i 0.832036 0.534717i −0.0538882 0.998547i \(-0.517161\pi\)
0.885924 + 0.463830i \(0.153525\pi\)
\(90\) 1.79175 + 1.33777i 0.188867 + 0.141013i
\(91\) 2.52088i 0.264260i
\(92\) −2.56059 4.05504i −0.266960 0.422768i
\(93\) −0.0821202 + 0.0821202i −0.00851547 + 0.00851547i
\(94\) 0.927042 + 0.803286i 0.0956170 + 0.0828526i
\(95\) 2.24117 15.7285i 0.229939 1.61371i
\(96\) 0.142315 + 0.989821i 0.0145249 + 0.101023i
\(97\) 17.2808 + 6.44540i 1.75460 + 0.654431i 0.999998 0.00175624i \(-0.000559030\pi\)
0.754598 + 0.656187i \(0.227832\pi\)
\(98\) 4.04847 + 5.40812i 0.408957 + 0.546303i
\(99\) 4.09076 1.20116i 0.411137 0.120721i
\(100\) 4.55339 + 2.06559i 0.455339 + 0.206559i
\(101\) −3.88350 + 8.50369i −0.386423 + 0.846149i 0.612045 + 0.790823i \(0.290347\pi\)
−0.998468 + 0.0553258i \(0.982380\pi\)
\(102\) −6.16586 + 3.36681i −0.610511 + 0.333364i
\(103\) 0.733116 10.2503i 0.0722361 1.00999i −0.824050 0.566517i \(-0.808291\pi\)
0.896286 0.443476i \(-0.146255\pi\)
\(104\) −3.85360 + 3.33916i −0.377876 + 0.327432i
\(105\) 0.598837 + 0.929229i 0.0584405 + 0.0906835i
\(106\) −8.61463 3.93417i −0.836727 0.382120i
\(107\) 0.672557 0.146306i 0.0650185 0.0141439i −0.179938 0.983678i \(-0.557590\pi\)
0.244957 + 0.969534i \(0.421226\pi\)
\(108\) 0.479249 0.877679i 0.0461158 0.0844547i
\(109\) −1.98714 + 13.8208i −0.190333 + 1.32380i 0.640793 + 0.767713i \(0.278606\pi\)
−0.831127 + 0.556083i \(0.812304\pi\)
\(110\) 8.36149 4.57942i 0.797237 0.436631i
\(111\) 4.14777 0.596359i 0.393689 0.0566039i
\(112\) −0.105089 + 0.483085i −0.00992995 + 0.0456472i
\(113\) −5.83590 + 0.417392i −0.548996 + 0.0392649i −0.343082 0.939305i \(-0.611471\pi\)
−0.205913 + 0.978570i \(0.566016\pi\)
\(114\) −7.10505 −0.665449
\(115\) 1.45492 + 10.6247i 0.135672 + 0.990754i
\(116\) −4.65756 −0.432443
\(117\) 5.08605 0.363761i 0.470205 0.0336297i
\(118\) −1.31174 + 6.02995i −0.120755 + 0.555102i
\(119\) −3.43778 + 0.494279i −0.315141 + 0.0453104i
\(120\) 0.627266 2.14628i 0.0572613 0.195928i
\(121\) 1.02141 7.10408i 0.0928556 0.645825i
\(122\) −2.22683 + 4.07813i −0.201608 + 0.369217i
\(123\) 9.22460 2.00669i 0.831754 0.180937i
\(124\) 0.105641 + 0.0482444i 0.00948681 + 0.00433248i
\(125\) −7.35349 8.42177i −0.657716 0.753266i
\(126\) 0.373630 0.323752i 0.0332856 0.0288421i
\(127\) 0.0718953 1.00523i 0.00637968 0.0891996i −0.993265 0.115868i \(-0.963035\pi\)
0.999644 + 0.0266680i \(0.00848971\pi\)
\(128\) 0.877679 0.479249i 0.0775766 0.0423600i
\(129\) −3.17614 + 6.95479i −0.279644 + 0.612335i
\(130\) 10.9359 3.22606i 0.959140 0.282944i
\(131\) −8.19505 + 2.40628i −0.716005 + 0.210238i −0.619390 0.785084i \(-0.712620\pi\)
−0.0966155 + 0.995322i \(0.530802\pi\)
\(132\) −2.55500 3.41308i −0.222384 0.297070i
\(133\) −3.29114 1.22753i −0.285378 0.106441i
\(134\) −0.205086 1.42640i −0.0177167 0.123222i
\(135\) −1.78837 + 1.34228i −0.153919 + 0.115525i
\(136\) 5.30928 + 4.60052i 0.455267 + 0.394491i
\(137\) −14.7877 + 14.7877i −1.26340 + 1.26340i −0.313963 + 0.949435i \(0.601657\pi\)
−0.949435 + 0.313963i \(0.898343\pi\)
\(138\) 4.61219 1.31443i 0.392616 0.111892i
\(139\) 0.109697i 0.00930434i −0.999989 0.00465217i \(-0.998519\pi\)
0.999989 0.00465217i \(-0.00148084\pi\)
\(140\) 0.661369 0.885813i 0.0558959 0.0748648i
\(141\) −1.03193 + 0.663178i −0.0869038 + 0.0558497i
\(142\) −0.783166 + 1.04619i −0.0657219 + 0.0877941i
\(143\) 7.59720 20.3689i 0.635310 1.70333i
\(144\) −0.989821 0.142315i −0.0824851 0.0118596i
\(145\) 9.47892 + 4.31443i 0.787182 + 0.358294i
\(146\) −5.14158 3.30429i −0.425520 0.273465i
\(147\) −6.32964 + 2.36084i −0.522060 + 0.194718i
\(148\) −2.00826 3.67785i −0.165078 0.302317i
\(149\) 11.4743 + 13.2421i 0.940014 + 1.08483i 0.996259 + 0.0864169i \(0.0275417\pi\)
−0.0562452 + 0.998417i \(0.517913\pi\)
\(150\) −3.26476 + 3.78700i −0.266566 + 0.309207i
\(151\) −9.46791 2.78003i −0.770488 0.226236i −0.127217 0.991875i \(-0.540605\pi\)
−0.643270 + 0.765639i \(0.722423\pi\)
\(152\) 2.48296 + 6.65707i 0.201395 + 0.539960i
\(153\) −1.49331 6.86464i −0.120727 0.554973i
\(154\) −0.593832 2.02240i −0.0478523 0.162970i
\(155\) −0.170306 0.196044i −0.0136793 0.0157466i
\(156\) −2.11822 4.63825i −0.169593 0.371357i
\(157\) 10.7222 + 8.02656i 0.855727 + 0.640589i 0.934366 0.356314i \(-0.115967\pi\)
−0.0786394 + 0.996903i \(0.525058\pi\)
\(158\) 6.43558 + 1.39997i 0.511987 + 0.111376i
\(159\) 6.20183 7.15729i 0.491837 0.567610i
\(160\) −2.23017 + 0.162333i −0.176310 + 0.0128335i
\(161\) 2.36351 + 0.187985i 0.186271 + 0.0148153i
\(162\) 0.707107 + 0.707107i 0.0555556 + 0.0555556i
\(163\) 0.117423 + 1.64179i 0.00919730 + 0.128595i 0.999976 0.00689326i \(-0.00219421\pi\)
−0.990779 + 0.135488i \(0.956740\pi\)
\(164\) −5.10383 7.94172i −0.398542 0.620144i
\(165\) 2.03822 + 9.31296i 0.158675 + 0.725013i
\(166\) 14.6830 6.70552i 1.13963 0.520450i
\(167\) 10.5438 7.89300i 0.815905 0.610779i −0.107675 0.994186i \(-0.534340\pi\)
0.923579 + 0.383408i \(0.125250\pi\)
\(168\) −0.433910 0.236933i −0.0334769 0.0182797i
\(169\) 7.02843 10.9365i 0.540649 0.841266i
\(170\) −6.54369 14.2810i −0.501878 1.09530i
\(171\) 2.00172 6.81724i 0.153076 0.521328i
\(172\) 7.62623 + 0.545439i 0.581495 + 0.0415893i
\(173\) −2.92036 0.208869i −0.222031 0.0158800i −0.0401196 0.999195i \(-0.512774\pi\)
−0.181912 + 0.983315i \(0.558228\pi\)
\(174\) 1.31219 4.46889i 0.0994766 0.338786i
\(175\) −2.16655 + 1.19013i −0.163776 + 0.0899656i
\(176\) −2.30500 + 3.58665i −0.173746 + 0.270354i
\(177\) −5.41614 2.95743i −0.407102 0.222294i
\(178\) 7.46954 5.59163i 0.559866 0.419110i
\(179\) 10.5319 4.80975i 0.787190 0.359498i 0.0190819 0.999818i \(-0.493926\pi\)
0.768108 + 0.640320i \(0.221198\pi\)
\(180\) 1.88262 + 1.20654i 0.140322 + 0.0899298i
\(181\) 12.1550 + 18.9135i 0.903471 + 1.40583i 0.913925 + 0.405882i \(0.133036\pi\)
−0.0104548 + 0.999945i \(0.503328\pi\)
\(182\) −0.179837 2.51446i −0.0133304 0.186384i
\(183\) −3.28557 3.28557i −0.242876 0.242876i
\(184\) −2.84335 3.86204i −0.209614 0.284714i
\(185\) 0.680244 + 9.34534i 0.0500125 + 0.687083i
\(186\) −0.0760526 + 0.0877694i −0.00557645 + 0.00643556i
\(187\) −29.2672 6.36668i −2.14023 0.465578i
\(188\) 0.981985 + 0.735105i 0.0716186 + 0.0536130i
\(189\) 0.205374 + 0.449707i 0.0149388 + 0.0327113i
\(190\) 1.11340 15.8483i 0.0807744 1.14976i
\(191\) 4.03747 + 13.7503i 0.292141 + 0.994940i 0.966528 + 0.256562i \(0.0825898\pi\)
−0.674387 + 0.738378i \(0.735592\pi\)
\(192\) 0.212565 + 0.977147i 0.0153406 + 0.0705195i
\(193\) −0.915025 2.45328i −0.0658650 0.176591i 0.899848 0.436204i \(-0.143678\pi\)
−0.965713 + 0.259614i \(0.916405\pi\)
\(194\) 17.6966 + 5.19618i 1.27054 + 0.373064i
\(195\) 0.0143845 + 11.4018i 0.00103009 + 0.816499i
\(196\) 4.42397 + 5.10553i 0.315998 + 0.364681i
\(197\) −7.01961 12.8555i −0.500126 0.915913i −0.998793 0.0491191i \(-0.984359\pi\)
0.498667 0.866794i \(-0.333823\pi\)
\(198\) 3.99465 1.48993i 0.283888 0.105885i
\(199\) 19.5276 + 12.5496i 1.38428 + 0.889620i 0.999443 0.0333660i \(-0.0106227\pi\)
0.384833 + 0.922986i \(0.374259\pi\)
\(200\) 4.68914 + 1.73549i 0.331572 + 0.122718i
\(201\) 1.42640 + 0.205086i 0.100611 + 0.0144656i
\(202\) −3.26696 + 8.75907i −0.229863 + 0.616286i
\(203\) 1.37991 1.84334i 0.0968505 0.129377i
\(204\) −5.90997 + 3.79810i −0.413780 + 0.265920i
\(205\) 3.03052 + 20.8906i 0.211660 + 1.45906i
\(206\) 10.2765i 0.715997i
\(207\) −0.0382184 + 4.79568i −0.00265636 + 0.333323i
\(208\) −3.60556 + 3.60556i −0.250001 + 0.250001i
\(209\) −22.8933 19.8371i −1.58356 1.37216i
\(210\) 0.663602 + 0.884141i 0.0457929 + 0.0610115i
\(211\) −2.49144 17.3283i −0.171518 1.19293i −0.875680 0.482892i \(-0.839586\pi\)
0.704163 0.710039i \(-0.251323\pi\)
\(212\) −8.87334 3.30959i −0.609424 0.227303i
\(213\) −0.783166 1.04619i −0.0536617 0.0716836i
\(214\) 0.660406 0.193913i 0.0451444 0.0132556i
\(215\) −15.0154 8.17446i −1.02404 0.557494i
\(216\) 0.415415 0.909632i 0.0282654 0.0618926i
\(217\) −0.0503923 + 0.0275163i −0.00342085 + 0.00186793i
\(218\) −0.996107 + 13.9274i −0.0674649 + 0.943282i
\(219\) 4.61899 4.00238i 0.312123 0.270456i
\(220\) 8.01349 5.16426i 0.540270 0.348174i
\(221\) −32.5846 14.8809i −2.19188 1.00100i
\(222\) 4.09466 0.890738i 0.274815 0.0597824i
\(223\) −7.45356 + 13.6502i −0.499127 + 0.914083i 0.499725 + 0.866184i \(0.333434\pi\)
−0.998852 + 0.0478990i \(0.984747\pi\)
\(224\) −0.0703580 + 0.489351i −0.00470099 + 0.0326961i
\(225\) −2.71381 4.19943i −0.180921 0.279962i
\(226\) −5.79126 + 0.832657i −0.385229 + 0.0553875i
\(227\) 5.17078 23.7697i 0.343197 1.57765i −0.405092 0.914276i \(-0.632761\pi\)
0.748289 0.663373i \(-0.230876\pi\)
\(228\) −7.08695 + 0.506868i −0.469344 + 0.0335682i
\(229\) −22.3228 −1.47513 −0.737565 0.675276i \(-0.764024\pi\)
−0.737565 + 0.675276i \(0.764024\pi\)
\(230\) 2.20917 + 10.4938i 0.145668 + 0.691940i
\(231\) 2.10778 0.138682
\(232\) −4.64569 + 0.332266i −0.305005 + 0.0218144i
\(233\) −0.114595 + 0.526783i −0.00750734 + 0.0345107i −0.980748 0.195277i \(-0.937439\pi\)
0.973241 + 0.229787i \(0.0738031\pi\)
\(234\) 5.04714 0.725669i 0.329942 0.0474385i
\(235\) −1.31756 2.40570i −0.0859479 0.156931i
\(236\) −0.878222 + 6.10817i −0.0571674 + 0.397608i
\(237\) −3.15638 + 5.78047i −0.205029 + 0.375482i
\(238\) −3.39376 + 0.738268i −0.219985 + 0.0478548i
\(239\) −11.2960 5.15870i −0.730676 0.333688i 0.0150995 0.999886i \(-0.495193\pi\)
−0.745775 + 0.666198i \(0.767921\pi\)
\(240\) 0.472554 2.18556i 0.0305032 0.141078i
\(241\) 11.0459 9.57136i 0.711531 0.616545i −0.221998 0.975047i \(-0.571258\pi\)
0.933529 + 0.358502i \(0.116712\pi\)
\(242\) 0.512010 7.15884i 0.0329133 0.460188i
\(243\) −0.877679 + 0.479249i −0.0563031 + 0.0307438i
\(244\) −1.93022 + 4.22660i −0.123570 + 0.270581i
\(245\) −4.27412 14.4887i −0.273063 0.925647i
\(246\) 9.05794 2.65965i 0.577513 0.169573i
\(247\) −21.7112 29.0027i −1.38145 1.84540i
\(248\) 0.108813 + 0.0405852i 0.00690964 + 0.00257716i
\(249\) 2.29721 + 15.9774i 0.145580 + 1.01253i
\(250\) −7.93556 7.87572i −0.501889 0.498104i
\(251\) 11.0395 + 9.56582i 0.696810 + 0.603789i 0.929526 0.368755i \(-0.120216\pi\)
−0.232717 + 0.972545i \(0.574761\pi\)
\(252\) 0.349582 0.349582i 0.0220216 0.0220216i
\(253\) 18.5308 + 8.64188i 1.16502 + 0.543310i
\(254\) 1.00780i 0.0632347i
\(255\) 15.5461 2.25521i 0.973533 0.141227i
\(256\) 0.841254 0.540641i 0.0525783 0.0337901i
\(257\) −7.22501 + 9.65148i −0.450684 + 0.602043i −0.967132 0.254276i \(-0.918163\pi\)
0.516448 + 0.856319i \(0.327254\pi\)
\(258\) −2.67190 + 7.16365i −0.166345 + 0.445989i
\(259\) 2.05059 + 0.294830i 0.127417 + 0.0183198i
\(260\) 10.6779 3.99799i 0.662214 0.247945i
\(261\) 3.91819 + 2.51807i 0.242530 + 0.155864i
\(262\) −8.00251 + 2.98478i −0.494397 + 0.184400i
\(263\) 0.977446 + 1.79006i 0.0602719 + 0.110380i 0.906078 0.423111i \(-0.139062\pi\)
−0.845806 + 0.533490i \(0.820880\pi\)
\(264\) −2.79198 3.22211i −0.171834 0.198307i
\(265\) 14.9930 + 14.9552i 0.921012 + 0.918691i
\(266\) −3.37033 0.989618i −0.206648 0.0606774i
\(267\) 3.26072 + 8.74232i 0.199553 + 0.535021i
\(268\) −0.306321 1.40814i −0.0187116 0.0860156i
\(269\) −0.167546 0.570609i −0.0102154 0.0347906i 0.954228 0.299082i \(-0.0966803\pi\)
−0.964443 + 0.264291i \(0.914862\pi\)
\(270\) −1.68806 + 1.46644i −0.102732 + 0.0892449i
\(271\) 6.93045 + 15.1756i 0.420995 + 0.921851i 0.994703 + 0.102791i \(0.0327772\pi\)
−0.573708 + 0.819060i \(0.694496\pi\)
\(272\) 5.62395 + 4.21004i 0.341002 + 0.255271i
\(273\) 2.46327 + 0.535851i 0.149084 + 0.0324312i
\(274\) −13.6951 + 15.8050i −0.827350 + 0.954813i
\(275\) −21.0926 + 3.08700i −1.27193 + 0.186153i
\(276\) 4.50667 1.64011i 0.271269 0.0987230i
\(277\) 16.0642 + 16.0642i 0.965203 + 0.965203i 0.999415 0.0342117i \(-0.0108921\pi\)
−0.0342117 + 0.999415i \(0.510892\pi\)
\(278\) −0.00782566 0.109417i −0.000469352 0.00656240i
\(279\) −0.0627876 0.0976994i −0.00375900 0.00584911i
\(280\) 0.596491 0.930737i 0.0356471 0.0556222i
\(281\) −29.8138 + 13.6155i −1.77854 + 0.812232i −0.801867 + 0.597503i \(0.796160\pi\)
−0.976674 + 0.214729i \(0.931113\pi\)
\(282\) −0.981985 + 0.735105i −0.0584764 + 0.0437749i
\(283\) −5.73483 3.13146i −0.340900 0.186146i 0.299674 0.954042i \(-0.403122\pi\)
−0.640575 + 0.767896i \(0.721304\pi\)
\(284\) −0.706537 + 1.09939i −0.0419252 + 0.0652370i
\(285\) 14.8927 + 5.53328i 0.882165 + 0.327763i
\(286\) 6.12474 20.8590i 0.362164 1.23342i
\(287\) 4.65525 + 0.332950i 0.274791 + 0.0196534i
\(288\) −0.997452 0.0713392i −0.0587754 0.00420370i
\(289\) −9.11497 + 31.0428i −0.536175 + 1.82604i
\(290\) 9.76256 + 3.62722i 0.573277 + 0.212998i
\(291\) −9.97139 + 15.5158i −0.584533 + 0.909552i
\(292\) −5.36420 2.92908i −0.313916 0.171411i
\(293\) 2.80219 2.09769i 0.163706 0.122549i −0.514284 0.857620i \(-0.671942\pi\)
0.677990 + 0.735071i \(0.262851\pi\)
\(294\) −6.14510 + 2.80637i −0.358389 + 0.163671i
\(295\) 7.44550 11.6176i 0.433494 0.676405i
\(296\) −2.26551 3.52521i −0.131680 0.204899i
\(297\) 0.304152 + 4.25260i 0.0176487 + 0.246761i
\(298\) 12.3898 + 12.3898i 0.717720 + 0.717720i
\(299\) 19.4591 + 14.8104i 1.12535 + 0.856505i
\(300\) −2.98628 + 4.01025i −0.172413 + 0.231532i
\(301\) −2.47532 + 2.85667i −0.142675 + 0.164656i
\(302\) −9.64211 2.09751i −0.554841 0.120698i
\(303\) −7.48385 5.60234i −0.429936 0.321846i
\(304\) 2.95154 + 6.46298i 0.169283 + 0.370677i
\(305\) 7.84356 6.81383i 0.449121 0.390159i
\(306\) −1.97922 6.74062i −0.113145 0.385336i
\(307\) −7.13768 32.8114i −0.407369 1.87264i −0.483180 0.875521i \(-0.660518\pi\)
0.0758111 0.997122i \(-0.475845\pi\)
\(308\) −0.736595 1.97489i −0.0419714 0.112530i
\(309\) 9.86022 + 2.89522i 0.560928 + 0.164703i
\(310\) −0.183858 0.183395i −0.0104424 0.0104161i
\(311\) 16.8548 + 19.4515i 0.955747 + 1.10299i 0.994604 + 0.103746i \(0.0330829\pi\)
−0.0388568 + 0.999245i \(0.512372\pi\)
\(312\) −2.44371 4.47532i −0.138348 0.253365i
\(313\) −11.7033 + 4.36512i −0.661512 + 0.246731i −0.657721 0.753262i \(-0.728479\pi\)
−0.00379076 + 0.999993i \(0.501207\pi\)
\(314\) 11.2675 + 7.24119i 0.635863 + 0.408644i
\(315\) −1.03529 + 0.387630i −0.0583317 + 0.0218405i
\(316\) 6.51906 + 0.937299i 0.366726 + 0.0527272i
\(317\) 4.30349 11.5381i 0.241708 0.648045i −0.758284 0.651924i \(-0.773962\pi\)
0.999992 + 0.00387908i \(0.00123475\pi\)
\(318\) 5.67543 7.58149i 0.318262 0.425149i
\(319\) 16.7051 10.7357i 0.935303 0.601083i
\(320\) −2.21290 + 0.321018i −0.123705 + 0.0179454i
\(321\) 0.688286i 0.0384164i
\(322\) 2.37090 + 0.0188945i 0.132125 + 0.00105295i
\(323\) −35.2947 + 35.2947i −1.96385 + 1.96385i
\(324\) 0.755750 + 0.654861i 0.0419861 + 0.0363812i
\(325\) −25.4347 1.75464i −1.41087 0.0973296i
\(326\) 0.234248 + 1.62923i 0.0129738 + 0.0902348i
\(327\) −13.0826 4.87956i −0.723469 0.269840i
\(328\) −5.65738 7.55738i −0.312377 0.417287i
\(329\) −0.581871 + 0.170853i −0.0320796 + 0.00941942i
\(330\) 2.69741 + 9.14383i 0.148487 + 0.503351i
\(331\) −3.34080 + 7.31533i −0.183627 + 0.402087i −0.978950 0.204099i \(-0.934574\pi\)
0.795324 + 0.606185i \(0.207301\pi\)
\(332\) 14.1673 7.73592i 0.777530 0.424563i
\(333\) −0.298941 + 4.17975i −0.0163819 + 0.229049i
\(334\) 9.95387 8.62508i 0.544651 0.471943i
\(335\) −0.680982 + 3.14955i −0.0372060 + 0.172078i
\(336\) −0.449707 0.205374i −0.0245335 0.0112041i
\(337\) −13.0991 + 2.84953i −0.713552 + 0.155224i −0.554666 0.832073i \(-0.687154\pi\)
−0.158886 + 0.987297i \(0.550790\pi\)
\(338\) 6.23033 11.4100i 0.338885 0.620622i
\(339\) 0.832657 5.79126i 0.0452237 0.314538i
\(340\) −7.54581 13.7778i −0.409229 0.747205i
\(341\) −0.490100 + 0.0704657i −0.0265404 + 0.00381593i
\(342\) 1.51029 6.94268i 0.0816669 0.375417i
\(343\) −6.78320 + 0.485144i −0.366258 + 0.0261953i
\(344\) 7.64571 0.412229
\(345\) −10.6911 0.836757i −0.575590 0.0450495i
\(346\) −2.92782 −0.157401
\(347\) 35.3623 2.52916i 1.89835 0.135773i 0.927248 0.374447i \(-0.122168\pi\)
0.971100 + 0.238675i \(0.0767130\pi\)
\(348\) 0.990035 4.55112i 0.0530715 0.243966i
\(349\) 7.21943 1.03800i 0.386447 0.0555627i 0.0536466 0.998560i \(-0.482916\pi\)
0.332800 + 0.942997i \(0.392006\pi\)
\(350\) −2.07613 + 1.34166i −0.110974 + 0.0717148i
\(351\) −0.725669 + 5.04714i −0.0387333 + 0.269396i
\(352\) −2.04326 + 3.74195i −0.108906 + 0.199447i
\(353\) 8.17240 1.77780i 0.434973 0.0946225i 0.0102531 0.999947i \(-0.496736\pi\)
0.424720 + 0.905325i \(0.360373\pi\)
\(354\) −5.61332 2.56352i −0.298345 0.136249i
\(355\) 2.45632 1.58296i 0.130368 0.0840150i
\(356\) 7.05161 6.11025i 0.373734 0.323843i
\(357\) 0.247771 3.46429i 0.0131134 0.183349i
\(358\) 10.1619 5.54883i 0.537074 0.293265i
\(359\) 2.58281 5.65557i 0.136316 0.298490i −0.829147 0.559030i \(-0.811174\pi\)
0.965463 + 0.260541i \(0.0839008\pi\)
\(360\) 1.96390 + 1.06916i 0.103507 + 0.0563495i
\(361\) −30.2065 + 8.86942i −1.58981 + 0.466812i
\(362\) 13.4733 + 17.9982i 0.708139 + 0.945962i
\(363\) 6.72461 + 2.50815i 0.352950 + 0.131644i
\(364\) −0.358758 2.49522i −0.0188040 0.130785i
\(365\) 8.20377 + 10.9302i 0.429405 + 0.572112i
\(366\) −3.51159 3.04281i −0.183554 0.159050i
\(367\) −11.6888 + 11.6888i −0.610150 + 0.610150i −0.942985 0.332835i \(-0.891995\pi\)
0.332835 + 0.942985i \(0.391995\pi\)
\(368\) −3.11162 3.64936i −0.162204 0.190236i
\(369\) 9.44034i 0.491444i
\(370\) 1.34520 + 9.27300i 0.0699336 + 0.482081i
\(371\) 3.93878 2.53130i 0.204491 0.131418i
\(372\) −0.0695974 + 0.0929713i −0.00360846 + 0.00482034i
\(373\) 1.72239 4.61792i 0.0891822 0.239107i −0.884700 0.466161i \(-0.845637\pi\)
0.973882 + 0.227054i \(0.0729095\pi\)
\(374\) −29.6468 4.26256i −1.53300 0.220412i
\(375\) 9.79240 5.39527i 0.505677 0.278610i
\(376\) 1.03193 + 0.663178i 0.0532175 + 0.0342008i
\(377\) 22.2517 8.29945i 1.14602 0.427443i
\(378\) 0.236933 + 0.433910i 0.0121865 + 0.0223179i
\(379\) 0.316306 + 0.365037i 0.0162476 + 0.0187507i 0.763815 0.645435i \(-0.223324\pi\)
−0.747568 + 0.664186i \(0.768778\pi\)
\(380\) −0.0200434 15.8874i −0.00102821 0.815004i
\(381\) 0.966973 + 0.283929i 0.0495395 + 0.0145461i
\(382\) 5.00812 + 13.4273i 0.256238 + 0.686999i
\(383\) −2.78486 12.8018i −0.142300 0.654142i −0.991933 0.126767i \(-0.959540\pi\)
0.849633 0.527375i \(-0.176824\pi\)
\(384\) 0.281733 + 0.959493i 0.0143771 + 0.0489639i
\(385\) −0.330301 + 4.70156i −0.0168337 + 0.239614i
\(386\) −1.08771 2.38175i −0.0553629 0.121228i
\(387\) −6.12071 4.58191i −0.311133 0.232911i
\(388\) 18.0222 + 3.92048i 0.914936 + 0.199032i
\(389\) −16.6136 + 19.1731i −0.842341 + 0.972113i −0.999881 0.0153993i \(-0.995098\pi\)
0.157540 + 0.987513i \(0.449644\pi\)
\(390\) 0.827742 + 11.3717i 0.0419143 + 0.575829i
\(391\) 16.3818 29.4408i 0.828464 1.48889i
\(392\) 4.77692 + 4.77692i 0.241271 + 0.241271i
\(393\) −0.609310 8.51926i −0.0307356 0.429740i
\(394\) −7.91882 12.3219i −0.398944 0.620770i
\(395\) −12.3991 7.94635i −0.623868 0.399824i
\(396\) 3.87818 1.77111i 0.194886 0.0890015i
\(397\) −16.1413 + 12.0832i −0.810108 + 0.606439i −0.921960 0.387286i \(-0.873413\pi\)
0.111852 + 0.993725i \(0.464322\pi\)
\(398\) 20.3731 + 11.1246i 1.02121 + 0.557625i
\(399\) 1.89906 2.95500i 0.0950721 0.147935i
\(400\) 4.80100 + 1.39655i 0.240050 + 0.0698277i
\(401\) −9.34882 + 31.8392i −0.466858 + 1.58997i 0.303808 + 0.952733i \(0.401742\pi\)
−0.770666 + 0.637239i \(0.780076\pi\)
\(402\) 1.43740 + 0.102805i 0.0716909 + 0.00512743i
\(403\) −0.590671 0.0422456i −0.0294234 0.00210440i
\(404\) −2.63377 + 8.96981i −0.131035 + 0.446265i
\(405\) −0.931462 2.03283i −0.0462847 0.101012i
\(406\) 1.24489 1.93709i 0.0617828 0.0961359i
\(407\) 15.6804 + 8.56213i 0.777247 + 0.424409i
\(408\) −5.62395 + 4.21004i −0.278427 + 0.208428i
\(409\) 16.5934 7.57794i 0.820490 0.374705i 0.0394774 0.999220i \(-0.487431\pi\)
0.781013 + 0.624515i \(0.214703\pi\)
\(410\) 4.51311 + 20.6211i 0.222887 + 1.01841i
\(411\) −11.3064 17.5931i −0.557704 0.867804i
\(412\) −0.733116 10.2503i −0.0361181 0.504996i
\(413\) −2.15726 2.15726i −0.106152 0.106152i
\(414\) 0.303999 + 4.78619i 0.0149407 + 0.235228i
\(415\) −35.9988 + 2.62034i −1.76711 + 0.128627i
\(416\) −3.33916 + 3.85360i −0.163716 + 0.188938i
\(417\) 0.107190 + 0.0233177i 0.00524910 + 0.00114187i
\(418\) −24.2501 18.1534i −1.18611 0.887911i
\(419\) 0.547002 + 1.19777i 0.0267228 + 0.0585148i 0.922523 0.385943i \(-0.126124\pi\)
−0.895800 + 0.444457i \(0.853396\pi\)
\(420\) 0.724985 + 0.834548i 0.0353756 + 0.0407218i
\(421\) −5.34094 18.1896i −0.260301 0.886505i −0.981123 0.193385i \(-0.938053\pi\)
0.720822 0.693121i \(-0.243765\pi\)
\(422\) −3.72128 17.1064i −0.181149 0.832728i
\(423\) −0.428671 1.14931i −0.0208427 0.0558814i
\(424\) −9.08684 2.66814i −0.441296 0.129576i
\(425\) 2.59425 + 35.0300i 0.125840 + 1.69921i
\(426\) −0.855805 0.987652i −0.0414639 0.0478519i
\(427\) −1.10091 2.01616i −0.0532766 0.0975688i
\(428\) 0.644890 0.240531i 0.0311719 0.0116265i
\(429\) 18.2885 + 11.7533i 0.882977 + 0.567455i
\(430\) −15.5603 7.08245i −0.750385 0.341546i
\(431\) 17.9944 + 2.58721i 0.866762 + 0.124621i 0.561330 0.827592i \(-0.310290\pi\)
0.305432 + 0.952214i \(0.401199\pi\)
\(432\) 0.349464 0.936950i 0.0168136 0.0450790i
\(433\) −1.04727 + 1.39899i −0.0503285 + 0.0672310i −0.824999 0.565134i \(-0.808825\pi\)
0.774671 + 0.632365i \(0.217916\pi\)
\(434\) −0.0483009 + 0.0310411i −0.00231852 + 0.00149002i
\(435\) −6.23072 + 8.34520i −0.298740 + 0.400122i
\(436\) 13.9630i 0.668705i
\(437\) 28.8113 18.1931i 1.37823 0.870294i
\(438\) 4.32170 4.32170i 0.206499 0.206499i
\(439\) −10.2550 8.88598i −0.489443 0.424105i 0.374856 0.927083i \(-0.377692\pi\)
−0.864299 + 0.502978i \(0.832238\pi\)
\(440\) 7.62466 5.72278i 0.363492 0.272823i
\(441\) −0.961420 6.68682i −0.0457819 0.318420i
\(442\) −33.5631 12.5184i −1.59644 0.595440i
\(443\) 20.1027 + 26.8541i 0.955109 + 1.27588i 0.961188 + 0.275895i \(0.0889742\pi\)
−0.00607853 + 0.999982i \(0.501935\pi\)
\(444\) 4.02068 1.18058i 0.190813 0.0560278i
\(445\) −20.0113 + 5.90329i −0.948628 + 0.279843i
\(446\) −6.46077 + 14.1471i −0.305927 + 0.669886i
\(447\) −15.3785 + 8.39730i −0.727378 + 0.397179i
\(448\) −0.0352689 + 0.493123i −0.00166630 + 0.0232979i
\(449\) −9.61216 + 8.32899i −0.453626 + 0.393069i −0.851486 0.524377i \(-0.824298\pi\)
0.397860 + 0.917446i \(0.369753\pi\)
\(450\) −3.00648 3.99513i −0.141727 0.188332i
\(451\) 36.6114 + 16.7199i 1.72396 + 0.787307i
\(452\) −5.71710 + 1.24368i −0.268910 + 0.0584977i
\(453\) 4.72905 8.66060i 0.222190 0.406911i
\(454\) 3.46189 24.0780i 0.162475 1.13004i
\(455\) −1.58126 + 5.41052i −0.0741307 + 0.253649i
\(456\) −7.03273 + 1.01115i −0.329338 + 0.0473516i
\(457\) 6.11563 28.1131i 0.286077 1.31508i −0.579775 0.814777i \(-0.696860\pi\)
0.865852 0.500299i \(-0.166777\pi\)
\(458\) −22.2659 + 1.59249i −1.04042 + 0.0744121i
\(459\) 7.02519 0.327908
\(460\) 2.95216 + 10.3094i 0.137645 + 0.480681i
\(461\) 9.07788 0.422799 0.211399 0.977400i \(-0.432198\pi\)
0.211399 + 0.977400i \(0.432198\pi\)
\(462\) 2.10241 0.150368i 0.0978132 0.00699574i
\(463\) 7.58866 34.8845i 0.352675 1.62122i −0.369306 0.929308i \(-0.620405\pi\)
0.721981 0.691913i \(-0.243232\pi\)
\(464\) −4.61015 + 0.662840i −0.214021 + 0.0307716i
\(465\) 0.227765 0.124742i 0.0105623 0.00578478i
\(466\) −0.0767223 + 0.533616i −0.00355409 + 0.0247193i
\(467\) −16.5954 + 30.3922i −0.767942 + 1.40638i 0.141237 + 0.989976i \(0.454892\pi\)
−0.909179 + 0.416406i \(0.863290\pi\)
\(468\) 4.98251 1.08388i 0.230317 0.0501023i
\(469\) 0.648058 + 0.295958i 0.0299246 + 0.0136661i
\(470\) −1.48582 2.30558i −0.0685358 0.106349i
\(471\) −10.1223 + 8.77102i −0.466411 + 0.404147i
\(472\) −0.440233 + 6.15525i −0.0202633 + 0.283319i
\(473\) −28.6099 + 15.6222i −1.31548 + 0.718309i
\(474\) −2.73596 + 5.99092i −0.125667 + 0.275172i
\(475\) −14.6761 + 32.3520i −0.673387 + 1.48441i
\(476\) −3.33245 + 0.978495i −0.152743 + 0.0448493i
\(477\) 5.67543 + 7.58149i 0.259860 + 0.347133i
\(478\) −11.6352 4.33971i −0.532182 0.198494i
\(479\) 3.52086 + 24.4881i 0.160872 + 1.11889i 0.896994 + 0.442042i \(0.145746\pi\)
−0.736122 + 0.676849i \(0.763345\pi\)
\(480\) 0.315433 2.21371i 0.0143975 0.101041i
\(481\) 16.1482 + 13.9925i 0.736294 + 0.638003i
\(482\) 10.3350 10.3350i 0.470745 0.470745i
\(483\) −0.686090 + 2.26954i −0.0312182 + 0.103268i
\(484\) 7.17713i 0.326233i
\(485\) −33.0465 24.6733i −1.50056 1.12036i
\(486\) −0.841254 + 0.540641i −0.0381600 + 0.0245240i
\(487\) 3.07236 4.10419i 0.139222 0.185979i −0.725511 0.688210i \(-0.758397\pi\)
0.864733 + 0.502232i \(0.167488\pi\)
\(488\) −1.62378 + 4.35353i −0.0735053 + 0.197075i
\(489\) −1.62923 0.234248i −0.0736764 0.0105931i
\(490\) −5.29684 14.1468i −0.239287 0.639089i
\(491\) 6.21789 + 3.99600i 0.280609 + 0.180337i 0.673373 0.739303i \(-0.264845\pi\)
−0.392764 + 0.919639i \(0.628481\pi\)
\(492\) 8.84512 3.29906i 0.398769 0.148733i
\(493\) −15.6811 28.7179i −0.706243 1.29339i
\(494\) −23.7249 27.3800i −1.06743 1.23188i
\(495\) −9.53339 + 0.0120273i −0.428494 + 0.000540586i
\(496\) 0.111431 + 0.0327192i 0.00500341 + 0.00146913i
\(497\) −0.225784 0.605349i −0.0101278 0.0271536i
\(498\) 3.43117 + 15.7729i 0.153755 + 0.706799i
\(499\) −3.85411 13.1259i −0.172534 0.587596i −0.999672 0.0255979i \(-0.991851\pi\)
0.827139 0.561998i \(-0.189967\pi\)
\(500\) −8.47719 7.28953i −0.379111 0.325998i
\(501\) 5.47137 + 11.9806i 0.244443 + 0.535255i
\(502\) 11.6938 + 8.75389i 0.521921 + 0.390705i
\(503\) −20.1236 4.37762i −0.897267 0.195188i −0.259797 0.965663i \(-0.583656\pi\)
−0.637470 + 0.770475i \(0.720019\pi\)
\(504\) 0.323752 0.373630i 0.0144211 0.0166428i
\(505\) 13.6692 15.8153i 0.608270 0.703774i
\(506\) 19.1001 + 7.29789i 0.849104 + 0.324431i
\(507\) 9.19252 + 9.19252i 0.408254 + 0.408254i
\(508\) −0.0718953 1.00523i −0.00318984 0.0445998i
\(509\) 1.25267 + 1.94919i 0.0555235 + 0.0863962i 0.867905 0.496729i \(-0.165466\pi\)
−0.812382 + 0.583126i \(0.801830\pi\)
\(510\) 15.3456 3.35851i 0.679514 0.148717i
\(511\) 2.74852 1.25521i 0.121587 0.0555271i
\(512\) 0.800541 0.599278i 0.0353793 0.0264846i
\(513\) 6.23595 + 3.40509i 0.275324 + 0.150338i
\(514\) −6.51807 + 10.1423i −0.287500 + 0.447359i
\(515\) −8.00315 + 21.5402i −0.352661 + 0.949175i
\(516\) −2.15405 + 7.33601i −0.0948266 + 0.322950i
\(517\) −5.21646 0.373089i −0.229420 0.0164084i
\(518\) 2.06640 + 0.147792i 0.0907922 + 0.00649359i
\(519\) 0.824863 2.80923i 0.0362075 0.123311i
\(520\) 10.3655 4.74956i 0.454555 0.208282i
\(521\) 15.9114 24.7587i 0.697092 1.08470i −0.294545 0.955638i \(-0.595168\pi\)
0.991637 0.129059i \(-0.0411956\pi\)
\(522\) 4.08784 + 2.23213i 0.178920 + 0.0976977i
\(523\) −0.628295 + 0.470336i −0.0274734 + 0.0205664i −0.612926 0.790140i \(-0.710008\pi\)
0.585453 + 0.810707i \(0.300917\pi\)
\(524\) −7.76919 + 3.54807i −0.339399 + 0.154998i
\(525\) −0.702401 2.37002i −0.0306553 0.103436i
\(526\) 1.10266 + 1.71577i 0.0480781 + 0.0748110i
\(527\) 0.0582038 + 0.813795i 0.00253540 + 0.0354495i
\(528\) −3.01472 3.01472i −0.131199 0.131199i
\(529\) −15.3369 + 17.1400i −0.666822 + 0.745217i
\(530\) 16.0217 + 13.8475i 0.695937 + 0.601497i
\(531\) 4.04113 4.66371i 0.175370 0.202388i
\(532\) −3.43234 0.746660i −0.148811 0.0323718i
\(533\) 38.5354 + 28.8472i 1.66915 + 1.24951i
\(534\) 3.87608 + 8.48743i 0.167734 + 0.367287i
\(535\) −1.53527 0.107858i −0.0663755 0.00466311i
\(536\) −0.405996 1.38270i −0.0175364 0.0597234i
\(537\) 2.46112 + 11.3136i 0.106205 + 0.488217i
\(538\) −0.207826 0.557202i −0.00896000 0.0240227i
\(539\) −27.6355 8.11452i −1.19035 0.349517i
\(540\) −1.57914 + 1.58313i −0.0679555 + 0.0681272i
\(541\) −10.9554 12.6433i −0.471011 0.543576i 0.469681 0.882836i \(-0.344369\pi\)
−0.940693 + 0.339260i \(0.889823\pi\)
\(542\) 7.99541 + 14.6425i 0.343432 + 0.628949i
\(543\) −21.0650 + 7.85683i −0.903984 + 0.337169i
\(544\) 5.90997 + 3.79810i 0.253388 + 0.162842i
\(545\) 12.9343 28.4170i 0.554045 1.21725i
\(546\) 2.49522 + 0.358758i 0.106786 + 0.0153534i
\(547\) 6.54432 17.5460i 0.279815 0.750212i −0.718679 0.695342i \(-0.755253\pi\)
0.998494 0.0548701i \(-0.0174745\pi\)
\(548\) −12.5327 + 16.7417i −0.535369 + 0.715170i
\(549\) 3.90888 2.51209i 0.166827 0.107213i
\(550\) −20.8187 + 4.58387i −0.887710 + 0.195457i
\(551\) 33.0922i 1.40977i
\(552\) 4.37818 1.95743i 0.186348 0.0833139i
\(553\) −2.30238 + 2.30238i −0.0979070 + 0.0979070i
\(554\) 17.1693 + 14.8772i 0.729452 + 0.632073i
\(555\) −9.27637 1.32180i −0.393760 0.0561072i
\(556\) −0.0156114 0.108580i −0.000662073 0.00460482i
\(557\) 6.68006 + 2.49153i 0.283043 + 0.105570i 0.486976 0.873415i \(-0.338100\pi\)
−0.203933 + 0.978985i \(0.565373\pi\)
\(558\) −0.0695974 0.0929713i −0.00294629 0.00393579i
\(559\) −37.4066 + 10.9836i −1.58213 + 0.464555i
\(560\) 0.528573 0.970919i 0.0223363 0.0410288i
\(561\) 12.4424 27.2450i 0.525317 1.15028i
\(562\) −28.7665 + 15.7077i −1.21344 + 0.662589i
\(563\) 1.23449 17.2605i 0.0520277 0.727442i −0.902758 0.430148i \(-0.858461\pi\)
0.954786 0.297294i \(-0.0960842\pi\)
\(564\) −0.927042 + 0.803286i −0.0390355 + 0.0338244i
\(565\) 12.7873 + 2.76482i 0.537967 + 0.116317i
\(566\) −5.94362 2.71436i −0.249829 0.114093i
\(567\) −0.483085 + 0.105089i −0.0202877 + 0.00441331i
\(568\) −0.626307 + 1.14700i −0.0262793 + 0.0481269i
\(569\) 5.88070 40.9012i 0.246532 1.71467i −0.371433 0.928460i \(-0.621133\pi\)
0.617965 0.786206i \(-0.287957\pi\)
\(570\) 15.2495 + 4.45675i 0.638729 + 0.186673i
\(571\) −12.8451 + 1.84685i −0.537550 + 0.0772881i −0.405743 0.913987i \(-0.632987\pi\)
−0.131807 + 0.991275i \(0.542078\pi\)
\(572\) 4.62108 21.2428i 0.193217 0.888204i
\(573\) −14.2943 + 1.02235i −0.597154 + 0.0427093i
\(574\) 4.66714 0.194803
\(575\) 3.54180 23.7161i 0.147703 0.989032i
\(576\) −1.00000 −0.0416667
\(577\) 16.6828 1.19318i 0.694515 0.0496727i 0.280381 0.959889i \(-0.409539\pi\)
0.414134 + 0.910216i \(0.364085\pi\)
\(578\) −6.87719 + 31.6139i −0.286053 + 1.31497i
\(579\) 2.59172 0.372632i 0.107708 0.0154861i
\(580\) 9.99645 + 2.92153i 0.415080 + 0.121310i
\(581\) −1.13570 + 7.89898i −0.0471168 + 0.327705i
\(582\) −8.83910 + 16.1876i −0.366393 + 0.670998i
\(583\) 39.4542 8.58274i 1.63403 0.355461i
\(584\) −5.55949 2.53893i −0.230053 0.105062i
\(585\) −11.1443 2.40957i −0.460759 0.0996234i
\(586\) 2.64540 2.29226i 0.109281 0.0946922i
\(587\) −2.22934 + 31.1702i −0.0920147 + 1.28653i 0.716304 + 0.697788i \(0.245832\pi\)
−0.808319 + 0.588745i \(0.799622\pi\)
\(588\) −5.92924 + 3.23761i −0.244518 + 0.133517i
\(589\) −0.342779 + 0.750582i −0.0141240 + 0.0309272i
\(590\) 6.59774 12.1192i 0.271625 0.498939i
\(591\) 14.0538 4.12656i 0.578096 0.169744i
\(592\) −2.51123 3.35461i −0.103211 0.137873i
\(593\) 35.2141 + 13.1342i 1.44607 + 0.539356i 0.945293 0.326221i \(-0.105775\pi\)
0.500776 + 0.865577i \(0.333048\pi\)
\(594\) 0.606754 + 4.22007i 0.0248954 + 0.173152i
\(595\) 7.68851 + 1.09554i 0.315198 + 0.0449128i
\(596\) 13.2421 + 11.4743i 0.542417 + 0.470007i
\(597\) −16.4137 + 16.4137i −0.671769 + 0.671769i
\(598\) 20.4661 + 13.3844i 0.836922 + 0.547330i
\(599\) 32.8294i 1.34137i −0.741742 0.670686i \(-0.766000\pi\)
0.741742 0.670686i \(-0.234000\pi\)
\(600\) −2.69258 + 4.21307i −0.109924 + 0.171998i
\(601\) 9.48094 6.09303i 0.386736 0.248540i −0.332797 0.942998i \(-0.607992\pi\)
0.719533 + 0.694459i \(0.244356\pi\)
\(602\) −2.26522 + 3.02597i −0.0923233 + 0.123330i
\(603\) −0.503602 + 1.35021i −0.0205083 + 0.0549848i
\(604\) −9.76718 1.40431i −0.397421 0.0571405i
\(605\) −6.64839 + 14.6067i −0.270295 + 0.593846i
\(606\) −7.86445 5.05418i −0.319472 0.205312i
\(607\) −15.4177 + 5.75052i −0.625787 + 0.233406i −0.642295 0.766457i \(-0.722018\pi\)
0.0165086 + 0.999864i \(0.494745\pi\)
\(608\) 3.40509 + 6.23595i 0.138095 + 0.252901i
\(609\) 1.50789 + 1.74020i 0.0611030 + 0.0705166i
\(610\) 7.33748 7.35602i 0.297086 0.297837i
\(611\) −6.00138 1.76217i −0.242790 0.0712896i
\(612\) −2.45505 6.58225i −0.0992396 0.266072i
\(613\) −1.98105 9.10674i −0.0800139 0.367818i 0.919677 0.392675i \(-0.128450\pi\)
−0.999691 + 0.0248576i \(0.992087\pi\)
\(614\) −9.46022 32.2186i −0.381784 1.30024i
\(615\) −21.0573 1.47935i −0.849114 0.0596532i
\(616\) −0.875605 1.91731i −0.0352791 0.0772506i
\(617\) 11.5869 + 8.67384i 0.466471 + 0.349195i 0.806515 0.591214i \(-0.201351\pi\)
−0.340044 + 0.940409i \(0.610442\pi\)
\(618\) 10.0416 + 2.18443i 0.403934 + 0.0878705i
\(619\) −7.20691 + 8.31722i −0.289670 + 0.334297i −0.881869 0.471495i \(-0.843715\pi\)
0.592199 + 0.805792i \(0.298260\pi\)
\(620\) −0.196473 0.169811i −0.00789053 0.00681978i
\(621\) −4.67796 1.05674i −0.187720 0.0424055i
\(622\) 18.1995 + 18.1995i 0.729733 + 0.729733i
\(623\) 0.329080 + 4.60114i 0.0131843 + 0.184341i
\(624\) −2.75675 4.28958i −0.110358 0.171721i
\(625\) 10.5000 + 22.6881i 0.420000 + 0.907524i
\(626\) −11.3621 + 5.18890i −0.454121 + 0.207390i
\(627\) 24.2501 18.1534i 0.968455 0.724977i
\(628\) 11.7554 + 6.41893i 0.469091 + 0.256143i
\(629\) 15.9157 24.7652i 0.634599 0.987455i
\(630\) −1.00499 + 0.460499i −0.0400399 + 0.0183467i
\(631\) 5.82708 19.8452i 0.231972 0.790025i −0.758423 0.651762i \(-0.774030\pi\)
0.990396 0.138263i \(-0.0441518\pi\)
\(632\) 6.56931 + 0.469846i 0.261313 + 0.0186895i
\(633\) 17.4619 + 1.24890i 0.694048 + 0.0496393i
\(634\) 3.46941 11.8157i 0.137788 0.469262i
\(635\) −0.784853 + 2.11241i −0.0311460 + 0.0838284i
\(636\) 5.12012 7.96705i 0.203026 0.315914i
\(637\) −30.2334 16.5087i −1.19789 0.654098i
\(638\) 15.8966 11.9001i 0.629353 0.471128i
\(639\) 1.18875 0.542885i 0.0470264 0.0214762i
\(640\) −2.18437 + 0.478067i −0.0863446 + 0.0188972i
\(641\) −1.80524 2.80900i −0.0713026 0.110949i 0.803771 0.594939i \(-0.202824\pi\)
−0.875074 + 0.483990i \(0.839187\pi\)
\(642\) 0.0491018 + 0.686533i 0.00193789 + 0.0270953i
\(643\) −9.93736 9.93736i −0.391891 0.391891i 0.483470 0.875361i \(-0.339376\pi\)
−0.875361 + 0.483470i \(0.839376\pi\)
\(644\) 2.36621 0.150292i 0.0932417 0.00592233i
\(645\) 11.1794 12.9347i 0.440189 0.509302i
\(646\) −32.6869 + 37.7227i −1.28605 + 1.48418i
\(647\) 32.5683 + 7.08479i 1.28039 + 0.278532i 0.800785 0.598952i \(-0.204416\pi\)
0.479606 + 0.877484i \(0.340780\pi\)
\(648\) 0.800541 + 0.599278i 0.0314482 + 0.0235419i
\(649\) −10.9295 23.9322i −0.429019 0.939420i
\(650\) −25.4951 + 0.0643292i −1.00000 + 0.00252320i
\(651\) −0.0161758 0.0550897i −0.000633980 0.00215914i
\(652\) 0.349879 + 1.60837i 0.0137023 + 0.0629886i
\(653\) −12.5420 33.6265i −0.490807 1.31591i −0.912467 0.409151i \(-0.865825\pi\)
0.421659 0.906754i \(-0.361448\pi\)
\(654\) −13.3974 3.93382i −0.523879 0.153825i
\(655\) 19.0983 0.0240943i 0.746232 0.000941444i
\(656\) −6.18211 7.13453i −0.241371 0.278557i
\(657\) 2.92908 + 5.36420i 0.114274 + 0.209277i
\(658\) −0.568200 + 0.211928i −0.0221507 + 0.00826180i
\(659\) 5.29764 + 3.40459i 0.206367 + 0.132624i 0.639742 0.768590i \(-0.279041\pi\)
−0.433375 + 0.901214i \(0.642678\pi\)
\(660\) 3.34285 + 8.92810i 0.130120 + 0.347526i
\(661\) −16.2026 2.32959i −0.630209 0.0906104i −0.180194 0.983631i \(-0.557672\pi\)
−0.450016 + 0.893021i \(0.648582\pi\)
\(662\) −2.81042 + 7.53502i −0.109230 + 0.292857i
\(663\) 21.4672 28.6768i 0.833715 1.11371i
\(664\) 13.5793 8.72689i 0.526979 0.338669i
\(665\) 6.29374 + 4.69906i 0.244061 + 0.182222i
\(666\) 4.19042i 0.162376i
\(667\) 6.12203 + 21.4815i 0.237046 + 0.831768i
\(668\) 9.31320 9.31320i 0.360339 0.360339i
\(669\) −11.7539 10.1848i −0.454430 0.393766i
\(670\) −0.454561 + 3.19011i −0.0175612 + 0.123245i
\(671\) −2.81928 19.6085i −0.108837 0.756979i
\(672\) −0.463212 0.172769i −0.0178688 0.00666472i
\(673\) 1.81545 + 2.42516i 0.0699805 + 0.0934831i 0.834166 0.551514i \(-0.185950\pi\)
−0.764185 + 0.644997i \(0.776859\pi\)
\(674\) −12.8624 + 3.77675i −0.495442 + 0.145475i
\(675\) 4.68032 1.75914i 0.180146 0.0677092i
\(676\) 5.40047 11.8254i 0.207711 0.454823i
\(677\) 10.4293 5.69480i 0.400829 0.218869i −0.266173 0.963925i \(-0.585759\pi\)
0.667002 + 0.745056i \(0.267577\pi\)
\(678\) 0.417392 5.83590i 0.0160298 0.224127i
\(679\) −6.89110 + 5.97117i −0.264456 + 0.229152i
\(680\) −8.50948 13.2044i −0.326324 0.506364i
\(681\) 22.1273 + 10.1052i 0.847922 + 0.387233i
\(682\) −0.483824 + 0.105250i −0.0185266 + 0.00403021i
\(683\) 5.12457 9.38495i 0.196086 0.359105i −0.761073 0.648666i \(-0.775327\pi\)
0.957160 + 0.289561i \(0.0935092\pi\)
\(684\) 1.01115 7.03273i 0.0386624 0.268903i
\(685\) 41.0144 22.4628i 1.56708 0.858259i
\(686\) −6.73131 + 0.967816i −0.257003 + 0.0369514i
\(687\) 4.74504 21.8126i 0.181035 0.832203i
\(688\) 7.62623 0.545439i 0.290747 0.0207947i
\(689\) 48.2902 1.83971
\(690\) −10.7236 0.0719301i −0.408239 0.00273833i
\(691\) 13.8122 0.525442 0.262721 0.964872i \(-0.415380\pi\)
0.262721 + 0.964872i \(0.415380\pi\)
\(692\) −2.92036 + 0.208869i −0.111016 + 0.00793999i
\(693\) −0.448042 + 2.05962i −0.0170197 + 0.0782383i
\(694\) 35.0918 5.04543i 1.33207 0.191522i
\(695\) −0.0688089 + 0.235440i −0.00261007 + 0.00893075i
\(696\) 0.662840 4.61015i 0.0251249 0.174747i
\(697\) 31.7839 58.2078i 1.20390 2.20478i
\(698\) 7.12698 1.55038i 0.269760 0.0586827i
\(699\) −0.490385 0.223951i −0.0185481 0.00847062i
\(700\) −1.97513 + 1.48635i −0.0746527 + 0.0561788i
\(701\) −9.98141 + 8.64894i −0.376992 + 0.326666i −0.822661 0.568532i \(-0.807511\pi\)
0.445669 + 0.895198i \(0.352966\pi\)
\(702\) −0.363761 + 5.08605i −0.0137293 + 0.191960i
\(703\) 26.1313 14.2688i 0.985559 0.538156i
\(704\) −1.77111 + 3.87818i −0.0667511 + 0.146165i
\(705\) 2.63079 0.776077i 0.0990814 0.0292288i
\(706\) 8.02475 2.35628i 0.302015 0.0886797i
\(707\) −2.76970 3.69989i −0.104165 0.139149i
\(708\) −5.78190 2.15654i −0.217297 0.0810476i
\(709\) −6.52545 45.3855i −0.245068 1.70449i −0.625949 0.779864i \(-0.715288\pi\)
0.380880 0.924624i \(-0.375621\pi\)
\(710\) 2.33714 1.75416i 0.0877112 0.0658326i
\(711\) −4.97744 4.31297i −0.186668 0.161749i
\(712\) 6.59774 6.59774i 0.247261 0.247261i
\(713\) 0.0836554 0.550648i 0.00313292 0.0206219i
\(714\) 3.47313i 0.129979i
\(715\) −29.0825 + 38.9520i −1.08762 + 1.45672i
\(716\) 9.74019 6.25964i 0.364008 0.233934i
\(717\) 7.44194 9.94127i 0.277924 0.371263i
\(718\) 2.17277 5.82542i 0.0810870 0.217403i
\(719\) −8.26669 1.18857i −0.308295 0.0443262i −0.0135692 0.999908i \(-0.504319\pi\)
−0.294726 + 0.955582i \(0.595228\pi\)
\(720\) 2.03517 + 0.926329i 0.0758463 + 0.0345223i
\(721\) 4.27401 + 2.74674i 0.159172 + 0.102294i
\(722\) −29.4968 + 11.0017i −1.09776 + 0.409442i
\(723\) 7.00464 + 12.8280i 0.260505 + 0.477080i
\(724\) 14.7229 + 16.9911i 0.547172 + 0.631471i
\(725\) −17.6382 15.2058i −0.655065 0.564729i
\(726\) 6.88640 + 2.02203i 0.255578 + 0.0750446i
\(727\) 13.7394 + 36.8368i 0.509566 + 1.36620i 0.896070 + 0.443913i \(0.146410\pi\)
−0.386504 + 0.922288i \(0.626317\pi\)
\(728\) −0.535851 2.46327i −0.0198600 0.0912948i
\(729\) −0.281733 0.959493i −0.0104345 0.0355368i
\(730\) 8.96262 + 10.3171i 0.331721 + 0.381852i
\(731\) 22.3130 + 48.8587i 0.825277 + 1.80710i
\(732\) −3.71971 2.78454i −0.137485 0.102920i
\(733\) 23.6714 + 5.14939i 0.874321 + 0.190197i 0.627267 0.778805i \(-0.284174\pi\)
0.247055 + 0.969002i \(0.420537\pi\)
\(734\) −10.8251 + 12.4929i −0.399563 + 0.461121i
\(735\) 15.0661 1.09665i 0.555721 0.0404507i
\(736\) −3.36403 3.41808i −0.124000 0.125992i
\(737\) 4.34443 + 4.34443i 0.160029 + 0.160029i
\(738\) 0.673466 + 9.41629i 0.0247906 + 0.346618i
\(739\) −15.7837 24.5600i −0.580614 0.903454i 0.419376 0.907813i \(-0.362249\pi\)
−0.999991 + 0.00435888i \(0.998613\pi\)
\(740\) 2.00330 + 9.15341i 0.0736428 + 0.336486i
\(741\) 32.9550 15.0500i 1.21063 0.552877i
\(742\) 3.74816 2.80584i 0.137599 0.103006i
\(743\) −14.2175 7.76333i −0.521588 0.284809i 0.196809 0.980442i \(-0.436942\pi\)
−0.718397 + 0.695633i \(0.755124\pi\)
\(744\) −0.0627876 + 0.0976994i −0.00230191 + 0.00358184i
\(745\) −16.3209 35.6187i −0.597951 1.30497i
\(746\) 1.38857 4.72902i 0.0508390 0.173142i
\(747\) −16.1006 1.15154i −0.589091 0.0421326i
\(748\) −29.8753 2.13673i −1.09235 0.0781264i
\(749\) −0.0958671 + 0.326493i −0.00350291 + 0.0119298i
\(750\) 9.38256 6.08010i 0.342602 0.222014i
\(751\) 16.7656 26.0878i 0.611785 0.951956i −0.387759 0.921761i \(-0.626751\pi\)
0.999544 0.0301953i \(-0.00961293\pi\)
\(752\) 1.07661 + 0.587872i 0.0392598 + 0.0214375i
\(753\) −11.6938 + 8.75389i −0.426147 + 0.319010i
\(754\) 21.6029 9.86572i 0.786732 0.359288i
\(755\) 18.5770 + 11.9056i 0.676087 + 0.433290i
\(756\) 0.267284 + 0.415902i 0.00972101 + 0.0151262i
\(757\) 1.33216 + 18.6261i 0.0484183 + 0.676976i 0.962472 + 0.271382i \(0.0874807\pi\)
−0.914053 + 0.405594i \(0.867065\pi\)
\(758\) 0.341542 + 0.341542i 0.0124054 + 0.0124054i
\(759\) −12.3834 + 16.2704i −0.449489 + 0.590578i
\(760\) −1.15338 15.8454i −0.0418376 0.574775i
\(761\) −7.74211 + 8.93487i −0.280651 + 0.323889i −0.878520 0.477705i \(-0.841469\pi\)
0.597869 + 0.801594i \(0.296014\pi\)
\(762\) 0.984765 + 0.214222i 0.0356743 + 0.00776046i
\(763\) −5.52618 4.13685i −0.200061 0.149764i
\(764\) 5.95325 + 13.0358i 0.215381 + 0.471618i
\(765\) −1.10088 + 15.6702i −0.0398026 + 0.566556i
\(766\) −3.69104 12.5705i −0.133363 0.454191i
\(767\) −6.68859 30.7470i −0.241511 1.11021i
\(768\) 0.349464 + 0.936950i 0.0126102 + 0.0338093i
\(769\) −44.2399 12.9900i −1.59533 0.468432i −0.641089 0.767466i \(-0.721517\pi\)
−0.954242 + 0.299035i \(0.903335\pi\)
\(770\) 0.00594609 + 4.71315i 0.000214282 + 0.169850i
\(771\) −7.89513 9.11147i −0.284336 0.328141i
\(772\) −1.25485 2.29809i −0.0451630 0.0827099i
\(773\) −43.0735 + 16.0656i