Properties

Label 690.2.n.a.89.3
Level $690$
Weight $2$
Character 690.89
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.n (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 89.3
Character \(\chi\) \(=\) 690.89
Dual form 690.2.n.a.659.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.142315 - 0.989821i) q^{2} +(-1.66535 + 0.476026i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-2.23496 + 0.0702463i) q^{5} +(0.708185 + 1.58066i) q^{6} +(3.21136 - 2.06381i) q^{7} +(0.415415 + 0.909632i) q^{8} +(2.54680 - 1.58550i) q^{9} +O(q^{10})\) \(q+(-0.142315 - 0.989821i) q^{2} +(-1.66535 + 0.476026i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-2.23496 + 0.0702463i) q^{5} +(0.708185 + 1.58066i) q^{6} +(3.21136 - 2.06381i) q^{7} +(0.415415 + 0.909632i) q^{8} +(2.54680 - 1.58550i) q^{9} +(0.387600 + 2.20222i) q^{10} +(-0.661762 + 4.60265i) q^{11} +(1.46378 - 0.925928i) q^{12} +(-1.07552 + 1.67355i) q^{13} +(-2.49983 - 2.88496i) q^{14} +(3.68856 - 1.18089i) q^{15} +(0.841254 - 0.540641i) q^{16} +(0.740783 - 2.52288i) q^{17} +(-1.93181 - 2.29523i) q^{18} +(-1.45827 - 4.96642i) q^{19} +(2.12464 - 0.697063i) q^{20} +(-4.36561 + 4.96567i) q^{21} +4.64998 q^{22} +(0.832592 - 4.72301i) q^{23} +(-1.12482 - 1.31711i) q^{24} +(4.99013 - 0.313996i) q^{25} +(1.80958 + 0.826406i) q^{26} +(-3.48658 + 3.85276i) q^{27} +(-2.49983 + 2.88496i) q^{28} +(-0.756135 + 2.57516i) q^{29} +(-1.69380 - 3.48296i) q^{30} +(-2.00737 - 4.39553i) q^{31} +(-0.654861 - 0.755750i) q^{32} +(-1.08892 - 7.98006i) q^{33} +(-2.60262 - 0.374200i) q^{34} +(-7.03229 + 4.83814i) q^{35} +(-1.99695 + 2.23879i) q^{36} +(-6.21744 - 7.17531i) q^{37} +(-4.70833 + 2.15022i) q^{38} +(0.994474 - 3.29902i) q^{39} +(-0.992336 - 2.00381i) q^{40} +(-2.30046 - 1.99336i) q^{41} +(5.53642 + 3.61449i) q^{42} +(1.31761 - 2.88517i) q^{43} +(-0.661762 - 4.60265i) q^{44} +(-5.58063 + 3.72245i) q^{45} +(-4.79342 - 0.151963i) q^{46} -10.1757 q^{47} +(-1.14362 + 1.30082i) q^{48} +(3.14558 - 6.88786i) q^{49} +(-1.02097 - 4.89465i) q^{50} +(-0.0327102 + 4.55411i) q^{51} +(0.560465 - 1.90877i) q^{52} +(-6.07154 - 9.44750i) q^{53} +(4.30974 + 2.90278i) q^{54} +(1.15569 - 10.3333i) q^{55} +(3.21136 + 2.06381i) q^{56} +(4.79268 + 7.57666i) q^{57} +(2.65656 + 0.381955i) q^{58} +(0.504216 - 0.784576i) q^{59} +(-3.20646 + 2.17224i) q^{60} +(11.0649 - 5.05319i) q^{61} +(-4.06511 + 2.61249i) q^{62} +(4.90650 - 10.3477i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(2.28620 - 3.81587i) q^{65} +(-7.74386 + 2.21351i) q^{66} +(0.387278 + 2.69357i) q^{67} +2.62938i q^{68} +(0.861716 + 8.26181i) q^{69} +(5.78969 + 6.27218i) q^{70} +(5.01334 - 0.720810i) q^{71} +(2.50020 + 1.65801i) q^{72} +(-2.00152 - 6.81656i) q^{73} +(-6.21744 + 7.17531i) q^{74} +(-8.16086 + 2.89835i) q^{75} +(2.79840 + 4.35440i) q^{76} +(7.37387 + 16.1465i) q^{77} +(-3.40697 - 0.514851i) q^{78} +(-4.40651 + 6.85667i) q^{79} +(-1.84219 + 1.26741i) q^{80} +(3.97236 - 8.07591i) q^{81} +(-1.64568 + 2.56073i) q^{82} +(-5.67839 + 4.92035i) q^{83} +(2.78978 - 5.99446i) q^{84} +(-1.47840 + 5.69057i) q^{85} +(-3.04332 - 0.893599i) q^{86} +(0.0333881 - 4.64849i) q^{87} +(-4.46163 + 1.31005i) q^{88} +(5.75374 - 12.5989i) q^{89} +(4.47876 + 4.99407i) q^{90} +7.59404i q^{91} +(0.531759 + 4.76626i) q^{92} +(5.43537 + 6.36455i) q^{93} +(1.44815 + 10.0721i) q^{94} +(3.60806 + 10.9973i) q^{95} +(1.45033 + 0.946859i) q^{96} +(-2.74356 + 3.16623i) q^{97} +(-7.26541 - 2.13332i) q^{98} +(5.61215 + 12.7713i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 24q^{2} + 2q^{3} - 24q^{4} + 2q^{6} - 24q^{8} - 6q^{9} + O(q^{10}) \) \( 240q - 24q^{2} + 2q^{3} - 24q^{4} + 2q^{6} - 24q^{8} - 6q^{9} - 9q^{12} + 11q^{15} - 24q^{16} - 6q^{18} - 4q^{23} + 2q^{24} - 12q^{25} + 2q^{27} + 22q^{30} + 28q^{31} - 24q^{32} - 36q^{35} - 6q^{36} - 4q^{46} + 104q^{47} - 9q^{48} + 70q^{49} + 54q^{50} - 9q^{54} - 26q^{55} - 44q^{57} - 11q^{60} + 44q^{61} + 28q^{62} - 121q^{63} - 24q^{64} + 44q^{65} + 44q^{66} - 102q^{69} - 36q^{70} + 16q^{72} - 82q^{75} + 8q^{77} - 44q^{79} + 74q^{81} - 11q^{84} + 22q^{85} - 93q^{87} - 4q^{92} + 172q^{93} + 16q^{94} + 26q^{95} + 2q^{96} + 4q^{98} + O(q^{100}) \)

Character values

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

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{5}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.142315 0.989821i −0.100632 0.699909i
\(3\) −1.66535 + 0.476026i −0.961492 + 0.274834i
\(4\) −0.959493 + 0.281733i −0.479746 + 0.140866i
\(5\) −2.23496 + 0.0702463i −0.999506 + 0.0314151i
\(6\) 0.708185 + 1.58066i 0.289115 + 0.645300i
\(7\) 3.21136 2.06381i 1.21378 0.780048i 0.232492 0.972598i \(-0.425312\pi\)
0.981287 + 0.192550i \(0.0616758\pi\)
\(8\) 0.415415 + 0.909632i 0.146871 + 0.321603i
\(9\) 2.54680 1.58550i 0.848933 0.528501i
\(10\) 0.387600 + 2.20222i 0.122570 + 0.696403i
\(11\) −0.661762 + 4.60265i −0.199529 + 1.38775i 0.606127 + 0.795368i \(0.292722\pi\)
−0.805656 + 0.592384i \(0.798187\pi\)
\(12\) 1.46378 0.925928i 0.422557 0.267292i
\(13\) −1.07552 + 1.67355i −0.298297 + 0.464159i −0.957756 0.287581i \(-0.907149\pi\)
0.659460 + 0.751740i \(0.270785\pi\)
\(14\) −2.49983 2.88496i −0.668108 0.771038i
\(15\) 3.68856 1.18089i 0.952383 0.304904i
\(16\) 0.841254 0.540641i 0.210313 0.135160i
\(17\) 0.740783 2.52288i 0.179666 0.611887i −0.819576 0.572970i \(-0.805791\pi\)
0.999242 0.0389169i \(-0.0123908\pi\)
\(18\) −1.93181 2.29523i −0.455332 0.540992i
\(19\) −1.45827 4.96642i −0.334550 1.13937i −0.939340 0.342988i \(-0.888561\pi\)
0.604789 0.796386i \(-0.293257\pi\)
\(20\) 2.12464 0.697063i 0.475084 0.155868i
\(21\) −4.36561 + 4.96567i −0.952655 + 1.08360i
\(22\) 4.64998 0.991380
\(23\) 0.832592 4.72301i 0.173607 0.984815i
\(24\) −1.12482 1.31711i −0.229603 0.268854i
\(25\) 4.99013 0.313996i 0.998026 0.0627992i
\(26\) 1.80958 + 0.826406i 0.354887 + 0.162071i
\(27\) −3.48658 + 3.85276i −0.670992 + 0.741465i
\(28\) −2.49983 + 2.88496i −0.472424 + 0.545206i
\(29\) −0.756135 + 2.57516i −0.140411 + 0.478195i −0.999430 0.0337477i \(-0.989256\pi\)
0.859020 + 0.511943i \(0.171074\pi\)
\(30\) −1.69380 3.48296i −0.309245 0.635899i
\(31\) −2.00737 4.39553i −0.360535 0.789461i −0.999791 0.0204667i \(-0.993485\pi\)
0.639256 0.768994i \(-0.279242\pi\)
\(32\) −0.654861 0.755750i −0.115764 0.133599i
\(33\) −1.08892 7.98006i −0.189556 1.38915i
\(34\) −2.60262 0.374200i −0.446346 0.0641748i
\(35\) −7.03229 + 4.83814i −1.18867 + 0.817794i
\(36\) −1.99695 + 2.23879i −0.332825 + 0.373132i
\(37\) −6.21744 7.17531i −1.02214 1.17961i −0.983601 0.180356i \(-0.942275\pi\)
−0.0385393 0.999257i \(-0.512270\pi\)
\(38\) −4.70833 + 2.15022i −0.763792 + 0.348812i
\(39\) 0.994474 3.29902i 0.159243 0.528267i
\(40\) −0.992336 2.00381i −0.156902 0.316831i
\(41\) −2.30046 1.99336i −0.359271 0.311310i 0.456457 0.889745i \(-0.349118\pi\)
−0.815728 + 0.578435i \(0.803664\pi\)
\(42\) 5.53642 + 3.61449i 0.854287 + 0.557728i
\(43\) 1.31761 2.88517i 0.200934 0.439984i −0.782162 0.623075i \(-0.785883\pi\)
0.983096 + 0.183091i \(0.0586103\pi\)
\(44\) −0.661762 4.60265i −0.0997643 0.693876i
\(45\) −5.58063 + 3.72245i −0.831911 + 0.554909i
\(46\) −4.79342 0.151963i −0.706752 0.0224058i
\(47\) −10.1757 −1.48428 −0.742140 0.670245i \(-0.766189\pi\)
−0.742140 + 0.670245i \(0.766189\pi\)
\(48\) −1.14362 + 1.30082i −0.165068 + 0.187757i
\(49\) 3.14558 6.88786i 0.449369 0.983980i
\(50\) −1.02097 4.89465i −0.144387 0.692208i
\(51\) −0.0327102 + 4.55411i −0.00458034 + 0.637703i
\(52\) 0.560465 1.90877i 0.0777224 0.264698i
\(53\) −6.07154 9.44750i −0.833990 1.29771i −0.952432 0.304753i \(-0.901426\pi\)
0.118442 0.992961i \(-0.462210\pi\)
\(54\) 4.30974 + 2.90278i 0.586481 + 0.395019i
\(55\) 1.15569 10.3333i 0.155834 1.39334i
\(56\) 3.21136 + 2.06381i 0.429136 + 0.275789i
\(57\) 4.79268 + 7.57666i 0.634806 + 1.00355i
\(58\) 2.65656 + 0.381955i 0.348823 + 0.0501532i
\(59\) 0.504216 0.784576i 0.0656434 0.102143i −0.806880 0.590715i \(-0.798846\pi\)
0.872524 + 0.488572i \(0.162482\pi\)
\(60\) −3.20646 + 2.17224i −0.413952 + 0.280435i
\(61\) 11.0649 5.05319i 1.41672 0.646994i 0.447747 0.894160i \(-0.352227\pi\)
0.968973 + 0.247166i \(0.0794992\pi\)
\(62\) −4.06511 + 2.61249i −0.516270 + 0.331786i
\(63\) 4.90650 10.3477i 0.618160 1.30369i
\(64\) −0.654861 + 0.755750i −0.0818576 + 0.0944687i
\(65\) 2.28620 3.81587i 0.283568 0.473300i
\(66\) −7.74386 + 2.21351i −0.953204 + 0.272465i
\(67\) 0.387278 + 2.69357i 0.0473135 + 0.329073i 0.999707 + 0.0242014i \(0.00770430\pi\)
−0.952394 + 0.304871i \(0.901387\pi\)
\(68\) 2.62938i 0.318860i
\(69\) 0.861716 + 8.26181i 0.103738 + 0.994605i
\(70\) 5.78969 + 6.27218i 0.692000 + 0.749668i
\(71\) 5.01334 0.720810i 0.594974 0.0855444i 0.161752 0.986831i \(-0.448286\pi\)
0.433222 + 0.901287i \(0.357377\pi\)
\(72\) 2.50020 + 1.65801i 0.294652 + 0.195398i
\(73\) −2.00152 6.81656i −0.234261 0.797818i −0.989769 0.142679i \(-0.954428\pi\)
0.755508 0.655139i \(-0.227390\pi\)
\(74\) −6.21744 + 7.17531i −0.722763 + 0.834113i
\(75\) −8.16086 + 2.89835i −0.942335 + 0.334672i
\(76\) 2.79840 + 4.35440i 0.320999 + 0.499484i
\(77\) 7.37387 + 16.1465i 0.840330 + 1.84007i
\(78\) −3.40697 0.514851i −0.385764 0.0582954i
\(79\) −4.40651 + 6.85667i −0.495772 + 0.771436i −0.995502 0.0947456i \(-0.969796\pi\)
0.499730 + 0.866181i \(0.333433\pi\)
\(80\) −1.84219 + 1.26741i −0.205964 + 0.141701i
\(81\) 3.97236 8.07591i 0.441374 0.897323i
\(82\) −1.64568 + 2.56073i −0.181735 + 0.282785i
\(83\) −5.67839 + 4.92035i −0.623284 + 0.540079i −0.908233 0.418464i \(-0.862569\pi\)
0.284949 + 0.958543i \(0.408023\pi\)
\(84\) 2.78978 5.99446i 0.304390 0.654049i
\(85\) −1.47840 + 5.69057i −0.160355 + 0.617229i
\(86\) −3.04332 0.893599i −0.328169 0.0963592i
\(87\) 0.0333881 4.64849i 0.00357958 0.498370i
\(88\) −4.46163 + 1.31005i −0.475611 + 0.139652i
\(89\) 5.75374 12.5989i 0.609895 1.33548i −0.312750 0.949835i \(-0.601250\pi\)
0.922646 0.385649i \(-0.126022\pi\)
\(90\) 4.47876 + 4.99407i 0.472103 + 0.526421i
\(91\) 7.59404i 0.796071i
\(92\) 0.531759 + 4.76626i 0.0554397 + 0.496917i
\(93\) 5.43537 + 6.36455i 0.563622 + 0.659973i
\(94\) 1.44815 + 10.0721i 0.149366 + 1.03886i
\(95\) 3.60806 + 10.9973i 0.370179 + 1.12830i
\(96\) 1.45033 + 0.946859i 0.148024 + 0.0966384i
\(97\) −2.74356 + 3.16623i −0.278566 + 0.321482i −0.877741 0.479136i \(-0.840950\pi\)
0.599175 + 0.800618i \(0.295496\pi\)
\(98\) −7.26541 2.13332i −0.733918 0.215498i
\(99\) 5.61215 + 12.7713i 0.564042 + 1.28356i
\(100\) −4.69953 + 1.70716i −0.469953 + 0.170716i
\(101\) 4.40055 3.81310i 0.437872 0.379418i −0.407844 0.913052i \(-0.633719\pi\)
0.845716 + 0.533634i \(0.179174\pi\)
\(102\) 4.51241 0.615740i 0.446795 0.0609673i
\(103\) −1.95666 + 13.6089i −0.192795 + 1.34092i 0.631770 + 0.775156i \(0.282329\pi\)
−0.824566 + 0.565766i \(0.808581\pi\)
\(104\) −1.96910 0.283114i −0.193086 0.0277616i
\(105\) 9.40817 11.4048i 0.918143 1.11299i
\(106\) −8.48727 + 7.35426i −0.824356 + 0.714309i
\(107\) 17.1432 7.82903i 1.65729 0.756861i 0.657299 0.753630i \(-0.271699\pi\)
0.999995 0.00323103i \(-0.00102847\pi\)
\(108\) 2.25990 4.67898i 0.217459 0.450235i
\(109\) 2.27163 7.73645i 0.217582 0.741017i −0.776280 0.630389i \(-0.782895\pi\)
0.993862 0.110628i \(-0.0352864\pi\)
\(110\) −10.3925 + 0.326644i −0.990891 + 0.0311443i
\(111\) 13.7699 + 8.98975i 1.30698 + 0.853270i
\(112\) 1.58578 3.47238i 0.149842 0.328109i
\(113\) 7.67503 1.10350i 0.722006 0.103809i 0.228491 0.973546i \(-0.426621\pi\)
0.493515 + 0.869737i \(0.335712\pi\)
\(114\) 6.81747 5.82217i 0.638515 0.545296i
\(115\) −1.52904 + 10.6142i −0.142584 + 0.989783i
\(116\) 2.68387i 0.249191i
\(117\) −0.0857274 + 5.96743i −0.00792550 + 0.551689i
\(118\) −0.848347 0.387427i −0.0780967 0.0356656i
\(119\) −2.82783 9.63069i −0.259226 0.882844i
\(120\) 2.60646 + 2.86468i 0.237936 + 0.261508i
\(121\) −10.1921 2.99266i −0.926552 0.272060i
\(122\) −6.57646 10.2332i −0.595405 0.926468i
\(123\) 4.77997 + 2.22457i 0.430995 + 0.200582i
\(124\) 3.16442 + 3.65194i 0.284174 + 0.327954i
\(125\) −11.1307 + 1.05231i −0.995561 + 0.0941213i
\(126\) −10.9407 3.38392i −0.974673 0.301463i
\(127\) 14.3954 + 2.06975i 1.27739 + 0.183661i 0.747417 0.664355i \(-0.231294\pi\)
0.529971 + 0.848016i \(0.322203\pi\)
\(128\) 0.841254 + 0.540641i 0.0743570 + 0.0477863i
\(129\) −0.820873 + 5.43204i −0.0722739 + 0.478264i
\(130\) −4.10239 1.71987i −0.359803 0.150843i
\(131\) −2.29103 3.56492i −0.200169 0.311468i 0.726629 0.687030i \(-0.241086\pi\)
−0.926797 + 0.375562i \(0.877450\pi\)
\(132\) 3.29305 + 7.35003i 0.286623 + 0.639738i
\(133\) −14.9328 12.9393i −1.29484 1.12198i
\(134\) 2.61104 0.766671i 0.225560 0.0662303i
\(135\) 7.52173 8.85571i 0.647367 0.762178i
\(136\) 2.60262 0.374200i 0.223173 0.0320874i
\(137\) 2.11258i 0.180490i 0.995920 + 0.0902448i \(0.0287649\pi\)
−0.995920 + 0.0902448i \(0.971235\pi\)
\(138\) 8.05508 2.02872i 0.685694 0.172696i
\(139\) −3.98807 −0.338264 −0.169132 0.985593i \(-0.554096\pi\)
−0.169132 + 0.985593i \(0.554096\pi\)
\(140\) 5.38437 6.62338i 0.455063 0.559778i
\(141\) 16.9461 4.84390i 1.42712 0.407930i
\(142\) −1.42695 4.85973i −0.119747 0.407820i
\(143\) −6.99102 6.05775i −0.584618 0.506575i
\(144\) 1.28532 2.71071i 0.107110 0.225893i
\(145\) 1.50904 5.80850i 0.125319 0.482370i
\(146\) −6.46233 + 2.95125i −0.534826 + 0.244247i
\(147\) −1.95970 + 12.9681i −0.161633 + 1.06959i
\(148\) 7.98711 + 5.13300i 0.656536 + 0.421930i
\(149\) 1.54016 10.7120i 0.126175 0.877564i −0.824165 0.566349i \(-0.808355\pi\)
0.950340 0.311214i \(-0.100736\pi\)
\(150\) 4.03026 + 7.66531i 0.329069 + 0.625870i
\(151\) 7.52777 + 4.83781i 0.612601 + 0.393695i 0.809832 0.586662i \(-0.199558\pi\)
−0.197230 + 0.980357i \(0.563195\pi\)
\(152\) 3.91182 3.38961i 0.317291 0.274934i
\(153\) −2.11340 7.59977i −0.170858 0.614405i
\(154\) 14.9328 9.59670i 1.20332 0.773324i
\(155\) 4.79518 + 9.68285i 0.385158 + 0.777745i
\(156\) −0.0247480 + 3.44557i −0.00198143 + 0.275866i
\(157\) −12.8459 + 3.77191i −1.02522 + 0.301031i −0.750765 0.660570i \(-0.770315\pi\)
−0.274453 + 0.961601i \(0.588497\pi\)
\(158\) 7.41399 + 3.38586i 0.589826 + 0.269364i
\(159\) 14.6085 + 12.8432i 1.15853 + 1.01853i
\(160\) 1.51668 + 1.64307i 0.119904 + 0.129896i
\(161\) −7.07366 16.8856i −0.557482 1.33077i
\(162\) −8.55904 2.78261i −0.672461 0.218622i
\(163\) −19.0949 + 2.74543i −1.49563 + 0.215039i −0.841051 0.540956i \(-0.818063\pi\)
−0.654578 + 0.755995i \(0.727154\pi\)
\(164\) 2.76887 + 1.26450i 0.216212 + 0.0987409i
\(165\) 2.99426 + 17.7587i 0.233103 + 1.38251i
\(166\) 5.67839 + 4.92035i 0.440728 + 0.381893i
\(167\) −13.8739 4.07375i −1.07360 0.315236i −0.303282 0.952901i \(-0.598082\pi\)
−0.770314 + 0.637664i \(0.779901\pi\)
\(168\) −6.33047 1.90829i −0.488406 0.147228i
\(169\) 3.75639 + 8.22534i 0.288953 + 0.632718i
\(170\) 5.84305 + 0.653500i 0.448141 + 0.0501212i
\(171\) −11.5882 10.3364i −0.886171 0.790442i
\(172\) −0.451394 + 3.13951i −0.0344185 + 0.239386i
\(173\) 1.28146 8.91273i 0.0974274 0.677622i −0.881315 0.472529i \(-0.843341\pi\)
0.978742 0.205093i \(-0.0657498\pi\)
\(174\) −4.60592 + 0.628500i −0.349174 + 0.0476465i
\(175\) 15.3771 11.3071i 1.16240 0.854733i
\(176\) 1.93167 + 4.22977i 0.145605 + 0.318831i
\(177\) −0.466219 + 1.54662i −0.0350432 + 0.116251i
\(178\) −13.2895 3.90216i −0.996093 0.292479i
\(179\) −0.181083 0.156909i −0.0135348 0.0117279i 0.648067 0.761583i \(-0.275578\pi\)
−0.661602 + 0.749855i \(0.730123\pi\)
\(180\) 4.30584 5.14390i 0.320938 0.383404i
\(181\) 14.6093 + 6.67184i 1.08590 + 0.495914i 0.876247 0.481862i \(-0.160039\pi\)
0.209653 + 0.977776i \(0.432767\pi\)
\(182\) 7.51674 1.08074i 0.557178 0.0801101i
\(183\) −16.0216 + 13.6825i −1.18435 + 1.01144i
\(184\) 4.64207 1.20466i 0.342218 0.0888084i
\(185\) 14.3998 + 15.5998i 1.05869 + 1.14692i
\(186\) 5.52623 6.28582i 0.405203 0.460898i
\(187\) 11.1217 + 5.07911i 0.813299 + 0.371421i
\(188\) 9.76352 2.86683i 0.712078 0.209085i
\(189\) −3.24525 + 19.5682i −0.236057 + 1.42338i
\(190\) 10.3719 5.13641i 0.752457 0.372635i
\(191\) −18.1973 + 11.6947i −1.31671 + 0.846200i −0.994926 0.100613i \(-0.967920\pi\)
−0.321786 + 0.946812i \(0.604283\pi\)
\(192\) 0.730817 1.57032i 0.0527422 0.113328i
\(193\) 2.66028 2.30515i 0.191491 0.165928i −0.553838 0.832624i \(-0.686837\pi\)
0.745330 + 0.666696i \(0.232292\pi\)
\(194\) 3.52446 + 2.26503i 0.253041 + 0.162620i
\(195\) −1.99087 + 7.44306i −0.142569 + 0.533008i
\(196\) −1.07763 + 7.49507i −0.0769734 + 0.535362i
\(197\) −17.6966 11.3729i −1.26083 0.810288i −0.272435 0.962174i \(-0.587829\pi\)
−0.988398 + 0.151886i \(0.951465\pi\)
\(198\) 11.8426 7.37256i 0.841615 0.523945i
\(199\) −25.1274 + 11.4753i −1.78123 + 0.813462i −0.806120 + 0.591752i \(0.798437\pi\)
−0.975113 + 0.221710i \(0.928836\pi\)
\(200\) 2.35860 + 4.40874i 0.166778 + 0.311745i
\(201\) −1.92717 4.30140i −0.135932 0.303397i
\(202\) −4.40055 3.81310i −0.309622 0.268289i
\(203\) 2.88643 + 9.83027i 0.202588 + 0.689950i
\(204\) −1.25166 4.37885i −0.0876334 0.306581i
\(205\) 5.28147 + 4.29349i 0.368874 + 0.299870i
\(206\) 13.7488 0.957925
\(207\) −5.36790 13.3486i −0.373095 0.927793i
\(208\) 1.98935i 0.137937i
\(209\) 23.8237 3.42533i 1.64792 0.236935i
\(210\) −12.6276 7.68934i −0.871387 0.530615i
\(211\) 16.0204 4.70402i 1.10289 0.323838i 0.320891 0.947116i \(-0.396018\pi\)
0.782000 + 0.623278i \(0.214200\pi\)
\(212\) 8.48727 + 7.35426i 0.582908 + 0.505093i
\(213\) −8.00586 + 3.58688i −0.548552 + 0.245769i
\(214\) −10.1891 15.8545i −0.696510 1.08379i
\(215\) −2.74214 + 6.54081i −0.187013 + 0.446079i
\(216\) −4.95297 1.57101i −0.337007 0.106893i
\(217\) −15.5179 9.97278i −1.05343 0.676996i
\(218\) −7.98099 1.14749i −0.540541 0.0777180i
\(219\) 6.57810 + 10.3992i 0.444507 + 0.702713i
\(220\) 1.80233 + 10.2403i 0.121513 + 0.690400i
\(221\) 3.42542 + 3.95315i 0.230419 + 0.265917i
\(222\) 6.93859 14.9091i 0.465688 1.00063i
\(223\) −1.67546 2.60706i −0.112197 0.174582i 0.780614 0.625013i \(-0.214907\pi\)
−0.892811 + 0.450432i \(0.851270\pi\)
\(224\) −3.66272 1.07547i −0.244726 0.0718579i
\(225\) 12.2110 8.71155i 0.814068 0.580770i
\(226\) −2.18454 7.43987i −0.145314 0.494893i
\(227\) 8.31619 + 3.79788i 0.551965 + 0.252074i 0.671816 0.740718i \(-0.265515\pi\)
−0.119851 + 0.992792i \(0.538242\pi\)
\(228\) −6.73313 5.91950i −0.445913 0.392028i
\(229\) 19.9220i 1.31648i −0.752807 0.658242i \(-0.771301\pi\)
0.752807 0.658242i \(-0.228699\pi\)
\(230\) 10.7238 + 0.00291238i 0.707107 + 0.000192037i
\(231\) −19.9663 23.3795i −1.31368 1.53826i
\(232\) −2.65656 + 0.381955i −0.174411 + 0.0250766i
\(233\) −1.98627 + 4.34933i −0.130125 + 0.284934i −0.963469 0.267821i \(-0.913696\pi\)
0.833344 + 0.552755i \(0.186424\pi\)
\(234\) 5.91889 0.764399i 0.386930 0.0499704i
\(235\) 22.7423 0.714806i 1.48355 0.0466288i
\(236\) −0.262751 + 0.894849i −0.0171037 + 0.0582497i
\(237\) 4.07445 13.5164i 0.264664 0.877984i
\(238\) −9.13022 + 4.16963i −0.591824 + 0.270277i
\(239\) −11.0521 + 9.57674i −0.714904 + 0.619468i −0.934433 0.356138i \(-0.884093\pi\)
0.219530 + 0.975606i \(0.429548\pi\)
\(240\) 2.46458 2.98761i 0.159088 0.192850i
\(241\) −4.89326 0.703545i −0.315203 0.0453193i −0.0171020 0.999854i \(-0.505444\pi\)
−0.298101 + 0.954534i \(0.596353\pi\)
\(242\) −1.51172 + 10.5142i −0.0971769 + 0.675880i
\(243\) −2.77104 + 15.3402i −0.177762 + 0.984073i
\(244\) −9.19308 + 7.96585i −0.588527 + 0.509961i
\(245\) −6.54641 + 15.6151i −0.418235 + 0.997611i
\(246\) 1.52166 5.04790i 0.0970178 0.321843i
\(247\) 9.87994 + 2.90101i 0.628645 + 0.184587i
\(248\) 3.16442 3.65194i 0.200941 0.231898i
\(249\) 7.11430 10.8972i 0.450851 0.690581i
\(250\) 2.62566 + 10.8677i 0.166061 + 0.687331i
\(251\) −2.79468 19.4374i −0.176398 1.22688i −0.865013 0.501750i \(-0.832690\pi\)
0.688614 0.725128i \(-0.258219\pi\)
\(252\) −1.79245 + 11.3109i −0.112914 + 0.712519i
\(253\) 21.1874 + 6.95764i 1.33204 + 0.437423i
\(254\) 14.5435i 0.912538i
\(255\) −0.246803 10.1806i −0.0154554 0.637532i
\(256\) 0.415415 0.909632i 0.0259634 0.0568520i
\(257\) 20.0570 5.88927i 1.25112 0.367363i 0.411939 0.911211i \(-0.364852\pi\)
0.839183 + 0.543849i \(0.183033\pi\)
\(258\) 5.49357 + 0.0394579i 0.342015 + 0.00245654i
\(259\) −34.7749 10.2108i −2.16081 0.634470i
\(260\) −1.11853 + 4.30540i −0.0693686 + 0.267009i
\(261\) 2.15720 + 7.75726i 0.133527 + 0.480162i
\(262\) −3.20258 + 2.77505i −0.197856 + 0.171443i
\(263\) 0.615564 0.957836i 0.0379573 0.0590627i −0.821756 0.569839i \(-0.807006\pi\)
0.859714 + 0.510776i \(0.170642\pi\)
\(264\) 6.80656 4.30555i 0.418915 0.264988i
\(265\) 14.2333 + 20.6883i 0.874346 + 1.27087i
\(266\) −10.6825 + 16.6223i −0.654984 + 1.01918i
\(267\) −3.58458 + 23.7206i −0.219373 + 1.45168i
\(268\) −1.13046 2.47536i −0.0690537 0.151207i
\(269\) 4.87737 + 7.58933i 0.297378 + 0.462730i 0.957502 0.288427i \(-0.0931324\pi\)
−0.660123 + 0.751157i \(0.729496\pi\)
\(270\) −9.83602 6.18487i −0.598601 0.376399i
\(271\) 0.148025 0.170830i 0.00899189 0.0103772i −0.751236 0.660034i \(-0.770542\pi\)
0.760228 + 0.649657i \(0.225087\pi\)
\(272\) −0.740783 2.52288i −0.0449166 0.152972i
\(273\) −3.61496 12.6468i −0.218787 0.765416i
\(274\) 2.09107 0.300651i 0.126326 0.0181630i
\(275\) −1.85706 + 23.1756i −0.111985 + 1.39754i
\(276\) −3.15443 7.68437i −0.189874 0.462545i
\(277\) 8.18154i 0.491581i 0.969323 + 0.245791i \(0.0790476\pi\)
−0.969323 + 0.245791i \(0.920952\pi\)
\(278\) 0.567562 + 3.94748i 0.0340401 + 0.236754i
\(279\) −12.0815 8.01184i −0.723301 0.479656i
\(280\) −7.32224 4.38696i −0.437588 0.262171i
\(281\) 13.9631 16.1143i 0.832968 0.961297i −0.166727 0.986003i \(-0.553320\pi\)
0.999695 + 0.0247066i \(0.00786517\pi\)
\(282\) −7.20629 16.0843i −0.429128 0.957806i
\(283\) −9.70757 + 6.23868i −0.577055 + 0.370851i −0.796376 0.604802i \(-0.793252\pi\)
0.219321 + 0.975653i \(0.429616\pi\)
\(284\) −4.60719 + 2.10403i −0.273386 + 0.124851i
\(285\) −11.2437 16.5969i −0.666019 0.983115i
\(286\) −5.00117 + 7.78197i −0.295725 + 0.460157i
\(287\) −11.5015 1.65367i −0.678913 0.0976130i
\(288\) −2.86604 0.886458i −0.168883 0.0522350i
\(289\) 8.48517 + 5.45309i 0.499128 + 0.320770i
\(290\) −5.96414 0.667043i −0.350226 0.0391701i
\(291\) 3.06178 6.57890i 0.179485 0.385662i
\(292\) 3.84089 + 5.97655i 0.224771 + 0.349751i
\(293\) 8.64546 29.4437i 0.505073 1.72012i −0.172814 0.984955i \(-0.555286\pi\)
0.677887 0.735166i \(-0.262896\pi\)
\(294\) 13.1150 + 0.0941993i 0.764882 + 0.00549381i
\(295\) −1.07179 + 1.78892i −0.0624021 + 0.104155i
\(296\) 3.94407 8.63631i 0.229244 0.501975i
\(297\) −15.4257 18.5971i −0.895087 1.07911i
\(298\) −10.8222 −0.626912
\(299\) 7.00870 + 6.47309i 0.405324 + 0.374348i
\(300\) 7.01373 5.08012i 0.404938 0.293301i
\(301\) −1.72313 11.9846i −0.0993194 0.690781i
\(302\) 3.71725 8.13964i 0.213904 0.468384i
\(303\) −5.51334 + 8.44494i −0.316733 + 0.485149i
\(304\) −3.91182 3.38961i −0.224358 0.194408i
\(305\) −24.3748 + 12.0710i −1.39570 + 0.691182i
\(306\) −7.22164 + 3.17345i −0.412834 + 0.181414i
\(307\) 25.9954 11.8717i 1.48363 0.677553i 0.501400 0.865215i \(-0.332818\pi\)
0.982234 + 0.187663i \(0.0600911\pi\)
\(308\) −11.6242 13.4150i −0.662349 0.764391i
\(309\) −3.21965 23.5950i −0.183159 1.34227i
\(310\) 8.90186 6.12438i 0.505592 0.347841i
\(311\) −16.8300 2.41978i −0.954340 0.137213i −0.352484 0.935818i \(-0.614663\pi\)
−0.601856 + 0.798605i \(0.705572\pi\)
\(312\) 3.41402 0.465859i 0.193281 0.0263741i
\(313\) −0.958412 1.10607i −0.0541727 0.0625186i 0.728016 0.685560i \(-0.240442\pi\)
−0.782189 + 0.623041i \(0.785897\pi\)
\(314\) 5.56168 + 12.1784i 0.313864 + 0.687266i
\(315\) −10.2390 + 23.4715i −0.576900 + 1.32247i
\(316\) 2.29627 7.82039i 0.129175 0.439931i
\(317\) −1.89825 + 2.19069i −0.106616 + 0.123042i −0.806549 0.591167i \(-0.798668\pi\)
0.699933 + 0.714208i \(0.253213\pi\)
\(318\) 10.6335 16.2876i 0.596295 0.913363i
\(319\) −11.3522 5.18437i −0.635600 0.290269i
\(320\) 1.41050 1.73507i 0.0788494 0.0969936i
\(321\) −24.8226 + 21.1987i −1.38546 + 1.18320i
\(322\) −15.7070 + 9.40472i −0.875318 + 0.524105i
\(323\) −13.6099 −0.757276
\(324\) −1.53621 + 8.86792i −0.0853448 + 0.492662i
\(325\) −4.84152 + 8.68893i −0.268559 + 0.481975i
\(326\) 5.43498 + 18.5098i 0.301016 + 1.02517i
\(327\) −0.100306 + 13.9653i −0.00554696 + 0.772281i
\(328\) 0.857578 2.92064i 0.0473518 0.161266i
\(329\) −32.6778 + 21.0008i −1.80159 + 1.15781i
\(330\) 17.1518 5.49110i 0.944174 0.302275i
\(331\) 8.59661 + 9.92102i 0.472512 + 0.545308i 0.941109 0.338104i \(-0.109786\pi\)
−0.468596 + 0.883412i \(0.655240\pi\)
\(332\) 4.06215 6.32083i 0.222939 0.346901i
\(333\) −27.2110 8.41629i −1.49116 0.461210i
\(334\) −2.05782 + 14.3125i −0.112599 + 0.783143i
\(335\) −1.05477 5.99284i −0.0576280 0.327424i
\(336\) −0.987944 + 6.53761i −0.0538968 + 0.356656i
\(337\) 9.64730 + 21.1246i 0.525522 + 1.15073i 0.967306 + 0.253611i \(0.0816182\pi\)
−0.441785 + 0.897121i \(0.645654\pi\)
\(338\) 7.60703 4.88874i 0.413768 0.265912i
\(339\) −12.2563 + 5.49124i −0.665673 + 0.298243i
\(340\) −0.184705 5.87658i −0.0100170 0.318702i
\(341\) 21.5595 6.33044i 1.16751 0.342813i
\(342\) −8.58199 + 12.9413i −0.464061 + 0.699783i
\(343\) −0.310823 2.16182i −0.0167829 0.116727i
\(344\) 3.17180 0.171012
\(345\) −2.50627 18.4043i −0.134933 0.990855i
\(346\) −9.00438 −0.484079
\(347\) 3.51504 + 24.4477i 0.188697 + 1.31242i 0.835385 + 0.549665i \(0.185245\pi\)
−0.646688 + 0.762755i \(0.723846\pi\)
\(348\) 1.27759 + 4.46960i 0.0684862 + 0.239595i
\(349\) −31.6929 + 9.30588i −1.69648 + 0.498133i −0.979920 0.199389i \(-0.936104\pi\)
−0.716563 + 0.697522i \(0.754286\pi\)
\(350\) −13.3803 13.6114i −0.715210 0.727559i
\(351\) −2.69789 9.97869i −0.144003 0.532623i
\(352\) 3.91182 2.51397i 0.208500 0.133995i
\(353\) 2.44281 + 5.34902i 0.130018 + 0.284699i 0.963434 0.267947i \(-0.0863452\pi\)
−0.833416 + 0.552647i \(0.813618\pi\)
\(354\) 1.59722 + 0.241367i 0.0848915 + 0.0128285i
\(355\) −11.1540 + 1.96315i −0.591993 + 0.104193i
\(356\) −1.97114 + 13.7096i −0.104470 + 0.726607i
\(357\) 9.29379 + 14.6924i 0.491879 + 0.777603i
\(358\) −0.129541 + 0.201570i −0.00684647 + 0.0106533i
\(359\) 17.1519 + 19.7944i 0.905244 + 1.04471i 0.998794 + 0.0490931i \(0.0156331\pi\)
−0.0935499 + 0.995615i \(0.529821\pi\)
\(360\) −5.70433 3.52996i −0.300645 0.186045i
\(361\) −6.55492 + 4.21259i −0.344996 + 0.221715i
\(362\) 4.52481 15.4101i 0.237819 0.809937i
\(363\) 18.3980 + 0.132145i 0.965643 + 0.00693580i
\(364\) −2.13949 7.28643i −0.112140 0.381912i
\(365\) 4.95217 + 15.0942i 0.259208 + 0.790065i
\(366\) 15.8234 + 13.9113i 0.827101 + 0.727154i
\(367\) 9.03990 0.471879 0.235939 0.971768i \(-0.424183\pi\)
0.235939 + 0.971768i \(0.424183\pi\)
\(368\) −1.85303 4.42338i −0.0965958 0.230585i
\(369\) −9.01928 1.42930i −0.469525 0.0744063i
\(370\) 13.3917 16.4733i 0.696202 0.856406i
\(371\) −38.9958 17.8088i −2.02456 0.924585i
\(372\) −7.00830 4.57542i −0.363363 0.237224i
\(373\) 21.4375 24.7402i 1.10999 1.28100i 0.153848 0.988094i \(-0.450833\pi\)
0.956142 0.292903i \(-0.0946213\pi\)
\(374\) 3.44463 11.7313i 0.178118 0.606613i
\(375\) 18.0356 7.05097i 0.931356 0.364111i
\(376\) −4.22714 9.25615i −0.217998 0.477349i
\(377\) −3.49641 4.03507i −0.180074 0.207817i
\(378\) 19.8309 + 0.427369i 1.01999 + 0.0219815i
\(379\) −17.0802 2.45576i −0.877350 0.126144i −0.311100 0.950377i \(-0.600697\pi\)
−0.566250 + 0.824233i \(0.691607\pi\)
\(380\) −6.56021 9.53535i −0.336532 0.489153i
\(381\) −24.9587 + 3.40574i −1.27867 + 0.174481i
\(382\) 14.1654 + 16.3478i 0.724766 + 0.836425i
\(383\) 9.30017 4.24725i 0.475217 0.217024i −0.163384 0.986563i \(-0.552241\pi\)
0.638601 + 0.769538i \(0.279514\pi\)
\(384\) −1.65834 0.499899i −0.0846270 0.0255104i
\(385\) −17.6146 35.5689i −0.897721 1.81276i
\(386\) −2.66028 2.30515i −0.135405 0.117329i
\(387\) −1.21875 9.43702i −0.0619526 0.479711i
\(388\) 1.74039 3.81093i 0.0883551 0.193471i
\(389\) 2.52209 + 17.5415i 0.127875 + 0.889389i 0.948241 + 0.317551i \(0.102860\pi\)
−0.820366 + 0.571838i \(0.806230\pi\)
\(390\) 7.65063 + 0.911347i 0.387405 + 0.0461478i
\(391\) −11.2988 5.59925i −0.571404 0.283166i
\(392\) 7.57214 0.382451
\(393\) 5.51237 + 4.84625i 0.278062 + 0.244461i
\(394\) −8.73868 + 19.1350i −0.440248 + 0.964009i
\(395\) 9.36675 15.6340i 0.471292 0.786630i
\(396\) −8.98289 10.6728i −0.451407 0.536329i
\(397\) −4.78779 + 16.3057i −0.240292 + 0.818360i 0.747724 + 0.664010i \(0.231147\pi\)
−0.988016 + 0.154351i \(0.950671\pi\)
\(398\) 14.9345 + 23.2385i 0.748598 + 1.16484i
\(399\) 31.0278 + 14.4402i 1.55333 + 0.722912i
\(400\) 4.02821 2.96202i 0.201410 0.148101i
\(401\) 4.70729 + 3.02519i 0.235071 + 0.151071i 0.652874 0.757467i \(-0.273563\pi\)
−0.417803 + 0.908538i \(0.637200\pi\)
\(402\) −3.98335 + 2.51970i −0.198671 + 0.125671i
\(403\) 9.51511 + 1.36807i 0.473981 + 0.0681482i
\(404\) −3.14803 + 4.89842i −0.156620 + 0.243706i
\(405\) −8.31078 + 18.3284i −0.412966 + 0.910746i
\(406\) 9.31943 4.25604i 0.462516 0.211224i
\(407\) 37.1399 23.8684i 1.84096 1.18311i
\(408\) −4.15615 + 1.86209i −0.205760 + 0.0921872i
\(409\) 18.2942 21.1126i 0.904589 1.04395i −0.0942387 0.995550i \(-0.530042\pi\)
0.998828 0.0484020i \(-0.0154128\pi\)
\(410\) 3.49816 5.83874i 0.172762 0.288355i
\(411\) −1.00564 3.51818i −0.0496046 0.173539i
\(412\) −1.95666 13.6089i −0.0963977 0.670461i
\(413\) 3.56016i 0.175184i
\(414\) −12.4488 + 7.21297i −0.611826 + 0.354498i
\(415\) 12.3454 11.3957i 0.606010 0.559393i
\(416\) 1.96910 0.283114i 0.0965431 0.0138808i
\(417\) 6.64155 1.89843i 0.325238 0.0929664i
\(418\) −6.78094 23.0938i −0.331667 1.12955i
\(419\) −20.8480 + 24.0599i −1.01849 + 1.17540i −0.0340999 + 0.999418i \(0.510856\pi\)
−0.984393 + 0.175985i \(0.943689\pi\)
\(420\) −5.81398 + 13.5934i −0.283693 + 0.663289i
\(421\) 16.8206 + 26.1733i 0.819785 + 1.27561i 0.958447 + 0.285271i \(0.0920836\pi\)
−0.138662 + 0.990340i \(0.544280\pi\)
\(422\) −6.93608 15.1879i −0.337643 0.739336i
\(423\) −25.9155 + 16.1336i −1.26005 + 0.784443i
\(424\) 6.07154 9.44750i 0.294860 0.458811i
\(425\) 2.90443 12.8221i 0.140886 0.621962i
\(426\) 4.68973 + 7.41390i 0.227218 + 0.359205i
\(427\) 25.1046 39.0636i 1.21490 1.89042i
\(428\) −14.2431 + 12.3417i −0.688465 + 0.596558i
\(429\) 14.5262 + 6.76038i 0.701330 + 0.326394i
\(430\) 6.86448 + 1.78338i 0.331034 + 0.0860022i
\(431\) 24.6425 + 7.23570i 1.18699 + 0.348532i 0.814865 0.579651i \(-0.196811\pi\)
0.372125 + 0.928183i \(0.378629\pi\)
\(432\) −0.850133 + 5.12614i −0.0409020 + 0.246631i
\(433\) −28.4735 + 8.36057i −1.36835 + 0.401783i −0.881698 0.471814i \(-0.843600\pi\)
−0.486650 + 0.873597i \(0.661781\pi\)
\(434\) −7.66284 + 16.7793i −0.367828 + 0.805431i
\(435\) 0.251918 + 10.3915i 0.0120785 + 0.498236i
\(436\) 8.06306i 0.386150i
\(437\) −24.6706 + 2.75243i −1.18015 + 0.131666i
\(438\) 9.35719 7.99111i 0.447104 0.381830i
\(439\) −3.54504 24.6563i −0.169195 1.17678i −0.880552 0.473949i \(-0.842828\pi\)
0.711357 0.702831i \(-0.248081\pi\)
\(440\) 9.87955 3.24133i 0.470989 0.154524i
\(441\) −2.90956 22.5293i −0.138551 1.07282i
\(442\) 3.42542 3.95315i 0.162931 0.188032i
\(443\) −1.49942 0.440270i −0.0712397 0.0209179i 0.245919 0.969291i \(-0.420910\pi\)
−0.317158 + 0.948373i \(0.602729\pi\)
\(444\) −15.7448 4.74619i −0.747215 0.225244i
\(445\) −11.9744 + 28.5623i −0.567640 + 1.35398i
\(446\) −2.34209 + 2.02943i −0.110901 + 0.0960962i
\(447\) 2.53430 + 18.5725i 0.119868 + 0.878447i
\(448\) −0.543265 + 3.77849i −0.0256669 + 0.178517i
\(449\) −29.9695 4.30896i −1.41435 0.203353i −0.607598 0.794245i \(-0.707867\pi\)
−0.806750 + 0.590893i \(0.798776\pi\)
\(450\) −10.3607 10.8469i −0.488408 0.511330i
\(451\) 10.6971 9.26909i 0.503707 0.436464i
\(452\) −7.05325 + 3.22111i −0.331757 + 0.151508i
\(453\) −14.8393 4.47323i −0.697212 0.210171i
\(454\) 2.57570 8.77203i 0.120884 0.411692i
\(455\) −0.533453 16.9724i −0.0250087 0.795679i
\(456\) −4.90102 + 7.50703i −0.229511 + 0.351549i
\(457\) −14.3451 + 31.4114i −0.671035 + 1.46936i 0.200834 + 0.979625i \(0.435635\pi\)
−0.871870 + 0.489737i \(0.837093\pi\)
\(458\) −19.7192 + 2.83520i −0.921419 + 0.132480i
\(459\) 7.13725 + 11.6503i 0.333138 + 0.543787i
\(460\) −1.52327 10.6151i −0.0710230 0.494930i
\(461\) 1.00394i 0.0467583i 0.999727 + 0.0233792i \(0.00744250\pi\)
−0.999727 + 0.0233792i \(0.992558\pi\)
\(462\) −20.3000 + 23.0903i −0.944443 + 1.07426i
\(463\) −2.06758 0.944230i −0.0960884 0.0438821i 0.366791 0.930303i \(-0.380456\pi\)
−0.462879 + 0.886421i \(0.653184\pi\)
\(464\) 0.756135 + 2.57516i 0.0351027 + 0.119549i
\(465\) −12.5949 13.8427i −0.584077 0.641941i
\(466\) 4.58774 + 1.34708i 0.212523 + 0.0624024i
\(467\) −6.19831 9.64476i −0.286824 0.446306i 0.667705 0.744426i \(-0.267277\pi\)
−0.954528 + 0.298120i \(0.903640\pi\)
\(468\) −1.59897 5.74986i −0.0739122 0.265787i
\(469\) 6.80272 + 7.85076i 0.314121 + 0.362514i
\(470\) −3.94410 22.4091i −0.181928 1.03366i
\(471\) 19.5975 12.3966i 0.903005 0.571203i
\(472\) 0.923134 + 0.132727i 0.0424907 + 0.00610924i
\(473\) 12.4075 + 7.97381i 0.570497 + 0.366636i
\(474\) −13.9587 2.10939i −0.641143 0.0968875i
\(475\) −8.83640 24.3252i −0.405442 1.11612i
\(476\) 5.42656 + 8.44389i 0.248726 + 0.387025i
\(477\) −30.4420 14.4344i −1.39384 0.660907i
\(478\) 11.0521 + 9.57674i 0.505513 + 0.438030i
\(479\) 7.78506 2.28590i 0.355708 0.104445i −0.0989960 0.995088i \(-0.531563\pi\)
0.454704 + 0.890642i \(0.349745\pi\)
\(480\) −3.30795 2.01431i −0.150987 0.0919405i
\(481\) 18.6952 2.68797i 0.852429 0.122561i
\(482\) 4.94358i 0.225174i
\(483\) 19.8181 + 24.7532i 0.901755 + 1.12631i
\(484\) 10.6224 0.482834
\(485\) 5.90934 7.26915i 0.268329 0.330075i
\(486\) 15.5784 + 0.559696i 0.706651 + 0.0253883i
\(487\) −4.64855 15.8315i −0.210646 0.717393i −0.995246 0.0973917i \(-0.968950\pi\)
0.784600 0.620002i \(-0.212868\pi\)
\(488\) 9.19308 + 7.96585i 0.416151 + 0.360597i
\(489\) 30.4929 13.6618i 1.37894 0.617808i
\(490\) 16.3878 + 4.25752i 0.740325 + 0.192335i
\(491\) 10.0564 4.59262i 0.453840 0.207262i −0.175361 0.984504i \(-0.556109\pi\)
0.629202 + 0.777242i \(0.283382\pi\)
\(492\) −5.21308 0.787784i −0.235024 0.0355161i
\(493\) 5.93667 + 3.81527i 0.267374 + 0.171831i
\(494\) 1.46542 10.1922i 0.0659324 0.458570i
\(495\) −13.4401 28.1491i −0.604087 1.26521i
\(496\) −4.06511 2.61249i −0.182529 0.117304i
\(497\) 14.6120 12.6614i 0.655438 0.567940i
\(498\) −11.7987 5.49106i −0.528714 0.246060i
\(499\) 1.17804 0.757081i 0.0527363 0.0338916i −0.514007 0.857786i \(-0.671839\pi\)
0.566743 + 0.823894i \(0.308203\pi\)
\(500\) 10.3834 4.14556i 0.464358 0.185395i
\(501\) 25.0442 + 0.179882i 1.11889 + 0.00803651i
\(502\) −18.8418 + 5.53246i −0.840952 + 0.246926i
\(503\) 8.62223 + 3.93764i 0.384446 + 0.175571i 0.598257 0.801304i \(-0.295860\pi\)
−0.213811 + 0.976875i \(0.568588\pi\)
\(504\) 11.4509 + 0.164502i 0.510062 + 0.00732748i
\(505\) −9.56723 + 8.83127i −0.425736 + 0.392986i
\(506\) 3.87154 21.9619i 0.172111 0.976326i
\(507\) −10.1712 11.9099i −0.451718 0.528939i
\(508\) −14.3954 + 2.06975i −0.638694 + 0.0918303i
\(509\) −2.98323 1.36240i −0.132229 0.0603872i 0.348202 0.937420i \(-0.386792\pi\)
−0.480431 + 0.877033i \(0.659520\pi\)
\(510\) −10.0418 + 1.69314i −0.444659 + 0.0749734i
\(511\) −20.4957 17.7596i −0.906677 0.785640i
\(512\) −0.959493 0.281733i −0.0424040 0.0124509i
\(513\) 24.2188 + 11.6974i 1.06929 + 0.516453i
\(514\) −8.68374 19.0147i −0.383023 0.838704i
\(515\) 3.41709 30.5528i 0.150575 1.34632i
\(516\) −0.742761 5.44327i −0.0326982 0.239627i
\(517\) 6.73389 46.8353i 0.296156 2.05981i
\(518\) −5.15792 + 35.8741i −0.226626 + 1.57622i
\(519\) 2.10862 + 15.4528i 0.0925579 + 0.678305i
\(520\) 4.42076 + 0.494428i 0.193863 + 0.0216821i
\(521\) 10.4936 + 22.9777i 0.459731 + 1.00667i 0.987549 + 0.157313i \(0.0502831\pi\)
−0.527818 + 0.849358i \(0.676990\pi\)
\(522\) 7.37130 3.23921i 0.322633 0.141777i
\(523\) 19.7801 + 5.80795i 0.864922 + 0.253964i 0.683954 0.729525i \(-0.260259\pi\)
0.180968 + 0.983489i \(0.442077\pi\)
\(524\) 3.20258 + 2.77505i 0.139906 + 0.121229i
\(525\) −20.2258 + 26.1501i −0.882725 + 1.14128i
\(526\) −1.03569 0.472984i −0.0451582 0.0206231i
\(527\) −12.5764 + 1.80821i −0.547837 + 0.0787670i
\(528\) −5.23040 6.12454i −0.227624 0.266536i
\(529\) −21.6136 7.86467i −0.939721 0.341942i
\(530\) 18.4521 17.0327i 0.801509 0.739853i
\(531\) 0.0401899 2.79759i 0.00174409 0.121405i
\(532\) 17.9733 + 8.20815i 0.779243 + 0.355868i
\(533\) 5.81018 1.70602i 0.251667 0.0738961i
\(534\) 23.9893 + 0.172305i 1.03812 + 0.00745635i
\(535\) −37.7644 + 18.7018i −1.63270 + 0.808551i
\(536\) −2.28928 + 1.47123i −0.0988819 + 0.0635475i
\(537\) 0.376260 + 0.175109i 0.0162368 + 0.00755651i
\(538\) 6.81796 5.90780i 0.293943 0.254703i
\(539\) 29.6208 + 19.0361i 1.27586 + 0.819945i
\(540\) −4.72211 + 10.6161i −0.203207 + 0.456844i
\(541\) 4.32457 30.0780i 0.185928 1.29315i −0.656492 0.754333i \(-0.727961\pi\)
0.842420 0.538822i \(-0.181130\pi\)
\(542\) −0.190157 0.122207i −0.00816796 0.00524923i
\(543\) −27.5056 4.15656i −1.18038 0.178375i
\(544\) −2.39177 + 1.09229i −0.102546 + 0.0468314i
\(545\) −4.53355 + 17.4503i −0.194196 + 0.747487i
\(546\) −12.0036 + 5.37799i −0.513705 + 0.230157i
\(547\) 3.39453 + 2.94137i 0.145140 + 0.125764i 0.724404 0.689375i \(-0.242115\pi\)
−0.579265 + 0.815139i \(0.696660\pi\)
\(548\) −0.595181 2.02700i −0.0254249 0.0865892i
\(549\) 20.1683 30.4129i 0.860763 1.29799i
\(550\) 23.2040 1.46008i 0.989423 0.0622579i
\(551\) 13.8920 0.591817
\(552\) −7.15723 + 4.21592i −0.304632 + 0.179442i
\(553\) 31.1134i 1.32308i
\(554\) 8.09827 1.16435i 0.344062 0.0494687i
\(555\) −31.4066 19.1245i −1.33314 0.811790i
\(556\) 3.82653 1.12357i 0.162281 0.0476500i
\(557\) 26.5925 + 23.0426i 1.12676 + 0.976345i 0.999879 0.0155724i \(-0.00495705\pi\)
0.126884 + 0.991918i \(0.459503\pi\)
\(558\) −6.21091 + 13.0987i −0.262929 + 0.554514i
\(559\) 3.41134 + 5.30815i 0.144284 + 0.224511i
\(560\) −3.30025 + 7.87204i −0.139461 + 0.332655i
\(561\) −20.9393 3.16429i −0.884060 0.133596i
\(562\) −17.9374 11.5277i −0.756644 0.486265i
\(563\) 39.3791 + 5.66187i 1.65963 + 0.238619i 0.907397 0.420274i \(-0.138066\pi\)
0.752236 + 0.658894i \(0.228975\pi\)
\(564\) −14.8950 + 9.42197i −0.627193 + 0.396737i
\(565\) −17.0759 + 3.00543i −0.718389 + 0.126439i
\(566\) 7.55671 + 8.72090i 0.317632 + 0.366567i
\(567\) −3.91051 34.1328i −0.164226 1.43344i
\(568\) 2.73829 + 4.26086i 0.114896 + 0.178782i
\(569\) −7.47177 2.19391i −0.313233 0.0919734i 0.121338 0.992611i \(-0.461282\pi\)
−0.434570 + 0.900638i \(0.643100\pi\)
\(570\) −14.8278 + 13.4912i −0.621069 + 0.565086i
\(571\) 3.33706 + 11.3650i 0.139652 + 0.475609i 0.999382 0.0351378i \(-0.0111870\pi\)
−0.859731 + 0.510747i \(0.829369\pi\)
\(572\) 8.41450 + 3.84277i 0.351828 + 0.160674i
\(573\) 24.7380 28.1382i 1.03344 1.17549i
\(574\) 11.6198i 0.485001i
\(575\) 2.67174 23.8299i 0.111419 0.993774i
\(576\) −0.469555 + 2.96303i −0.0195648 + 0.123459i
\(577\) −21.9851 + 3.16098i −0.915252 + 0.131593i −0.583817 0.811885i \(-0.698442\pi\)
−0.331434 + 0.943478i \(0.607533\pi\)
\(578\) 4.19002 9.17486i 0.174282 0.381624i
\(579\) −3.33300 + 5.10525i −0.138515 + 0.212167i
\(580\) 0.188532 + 5.99836i 0.00782837 + 0.249068i
\(581\) −8.08064 + 27.5201i −0.335242 + 1.14173i
\(582\) −6.94767 2.09434i −0.287990 0.0868132i
\(583\) 47.5015 21.6932i 1.96731 0.898440i
\(584\) 5.36910 4.65235i 0.222175 0.192516i
\(585\) −0.227593 13.3430i −0.00940979 0.551666i
\(586\) −30.3744 4.36718i −1.25476 0.180407i
\(587\) −1.61819 + 11.2547i −0.0667898 + 0.464533i 0.928789 + 0.370608i \(0.120851\pi\)
−0.995579 + 0.0939253i \(0.970059\pi\)
\(588\) −1.77322 12.9949i −0.0731263 0.535901i
\(589\) −18.9027 + 16.3793i −0.778874 + 0.674898i
\(590\) 1.92324 + 0.806293i 0.0791786 + 0.0331946i
\(591\) 34.8849 + 10.5159i 1.43497 + 0.432566i
\(592\) −9.10971 2.67485i −0.374407 0.109936i
\(593\) 6.73764 7.77565i 0.276682 0.319308i −0.600353 0.799735i \(-0.704973\pi\)
0.877034 + 0.480428i \(0.159519\pi\)
\(594\) −16.2125 + 17.9153i −0.665208 + 0.735073i
\(595\) 6.99661 + 21.3256i 0.286833 + 0.874265i
\(596\) 1.54016 + 10.7120i 0.0630873 + 0.438782i
\(597\) 36.3834 31.0717i 1.48907 1.27168i
\(598\) 5.40976 7.85858i 0.221221 0.321361i
\(599\) 5.79460i 0.236761i 0.992968 + 0.118381i \(0.0377703\pi\)
−0.992968 + 0.118381i \(0.962230\pi\)
\(600\) −6.02657 6.21936i −0.246034 0.253904i
\(601\) −10.2917 + 22.5356i −0.419806 + 0.919247i 0.575066 + 0.818107i \(0.304976\pi\)
−0.994872 + 0.101140i \(0.967751\pi\)
\(602\) −11.6174 + 3.41118i −0.473490 + 0.139029i
\(603\) 5.25699 + 6.24596i 0.214081 + 0.254355i
\(604\) −8.58581 2.52102i −0.349352 0.102579i
\(605\) 22.9891 + 5.97254i 0.934641 + 0.242818i
\(606\) 9.14361 + 4.25538i 0.371434 + 0.172863i
\(607\) −33.8686 + 29.3474i −1.37469 + 1.19117i −0.415094 + 0.909779i \(0.636251\pi\)
−0.959592 + 0.281393i \(0.909203\pi\)
\(608\) −2.79840 + 4.35440i −0.113490 + 0.176594i
\(609\) −9.48639 14.9969i −0.384408 0.607703i
\(610\) 15.4170 + 22.4088i 0.624216 + 0.907306i
\(611\) 10.9442 17.0295i 0.442755 0.688941i
\(612\) 4.16890 + 6.69651i 0.168518 + 0.270690i
\(613\) 14.2059 + 31.1065i 0.573770 + 1.25638i 0.944766 + 0.327746i \(0.106289\pi\)
−0.370996 + 0.928635i \(0.620984\pi\)
\(614\) −15.4504 24.0413i −0.623526 0.970226i
\(615\) −10.8393 4.63605i −0.437084 0.186944i
\(616\) −11.6242 + 13.4150i −0.468351 + 0.540506i
\(617\) 4.93341 + 16.8016i 0.198611 + 0.676409i 0.997217 + 0.0745538i \(0.0237532\pi\)
−0.798605 + 0.601855i \(0.794429\pi\)
\(618\) −22.8966 + 6.54479i −0.921037 + 0.263270i
\(619\) 32.7292 4.70576i 1.31550 0.189140i 0.551401 0.834240i \(-0.314093\pi\)
0.764098 + 0.645100i \(0.223184\pi\)
\(620\) −7.32891 7.93967i −0.294336 0.318865i
\(621\) 15.2937 + 19.6749i 0.613716 + 0.789527i
\(622\) 17.0030i 0.681759i
\(623\) −7.52454 52.3343i −0.301464 2.09673i
\(624\) −0.946982 3.31297i −0.0379096 0.132625i
\(625\) 24.8028 3.13376i 0.992113 0.125350i
\(626\) −0.958412 + 1.10607i −0.0383059 + 0.0442073i
\(627\) −38.0443 + 17.0451i −1.51934 + 0.680716i
\(628\) 11.2629 7.23824i 0.449439 0.288837i
\(629\) −22.7082 + 10.3705i −0.905434 + 0.413498i
\(630\) 24.6897 + 6.79439i 0.983662 + 0.270695i
\(631\) 9.34723 14.5446i 0.372107 0.579010i −0.603816 0.797124i \(-0.706354\pi\)
0.975923 + 0.218113i \(0.0699902\pi\)
\(632\) −8.06758 1.15994i −0.320911 0.0461400i
\(633\) −24.4404 + 15.4600i −0.971419 + 0.614480i
\(634\) 2.43854 + 1.56716i 0.0968469 + 0.0622397i
\(635\) −32.3187 3.61459i −1.28253 0.143441i
\(636\) −17.6351 8.20727i −0.699278 0.325439i
\(637\) 8.14401 + 12.6723i 0.322678 + 0.502096i
\(638\) −3.51601 + 11.9744i −0.139200 + 0.474073i
\(639\) 11.6251 9.78442i 0.459883 0.387066i
\(640\) −1.91815 1.14922i −0.0758215 0.0454268i
\(641\) −5.84502 + 12.7988i −0.230864 + 0.505522i −0.989241 0.146294i \(-0.953265\pi\)
0.758377 + 0.651816i \(0.225993\pi\)
\(642\) 24.5156 + 21.5531i 0.967552 + 0.850632i
\(643\) 27.4053 1.08076 0.540379 0.841421i \(-0.318281\pi\)
0.540379 + 0.841421i \(0.318281\pi\)
\(644\) 11.5443 + 14.2087i 0.454911 + 0.559902i
\(645\) 1.45304 12.1981i 0.0572135 0.480299i
\(646\) 1.93689 + 13.4714i 0.0762060 + 0.530024i
\(647\) 4.42965 9.69958i 0.174147 0.381330i −0.802352 0.596852i \(-0.796418\pi\)
0.976499 + 0.215522i \(0.0691453\pi\)
\(648\) 8.99629 + 0.258532i 0.353407 + 0.0101561i
\(649\) 3.27746 + 2.83994i 0.128652 + 0.111477i
\(650\) 9.28951 + 3.55567i 0.364365 + 0.139465i
\(651\) 30.5902 + 9.22124i 1.19892 + 0.361409i
\(652\) 17.5480 8.01388i 0.687231 0.313848i
\(653\) −8.93581 10.3125i −0.349685 0.403558i 0.553472 0.832868i \(-0.313303\pi\)
−0.903158 + 0.429309i \(0.858757\pi\)
\(654\) 13.8374 1.88818i 0.541085 0.0738337i
\(655\) 5.37080 + 7.80653i 0.209855 + 0.305026i
\(656\) −3.01296 0.433198i −0.117636 0.0169136i
\(657\) −15.9052 14.1870i −0.620519 0.553487i
\(658\) 25.4375 + 29.3565i 0.991659 + 1.14444i
\(659\) −5.09394 11.1542i −0.198432 0.434505i 0.784092 0.620645i \(-0.213129\pi\)
−0.982523 + 0.186141i \(0.940402\pi\)
\(660\) −7.87616 16.1957i −0.306579 0.630418i
\(661\) 6.55010 22.3076i 0.254769 0.867665i −0.728428 0.685122i \(-0.759749\pi\)
0.983198 0.182543i \(-0.0584329\pi\)
\(662\) 8.59661 9.92102i 0.334117 0.385591i
\(663\) −7.58634 4.95279i −0.294629 0.192351i
\(664\) −6.83460 3.12126i −0.265234 0.121128i
\(665\) 34.2832 + 27.8700i 1.32944 + 1.08075i
\(666\) −4.45809 + 28.1318i −0.172748 + 1.09009i
\(667\) 11.5329 + 5.71528i 0.446557 + 0.221297i
\(668\) 14.4596 0.559460
\(669\) 4.03126 + 3.54412i 0.155857 + 0.137024i
\(670\) −5.78173 + 1.89690i −0.223368 + 0.0732836i
\(671\) 15.9357 + 54.2721i 0.615192 + 2.09515i
\(672\) 6.61167 + 0.0474887i 0.255051 + 0.00183192i
\(673\) 9.23387 31.4477i 0.355940 1.21222i −0.565844 0.824513i \(-0.691449\pi\)
0.921783 0.387706i \(-0.126732\pi\)
\(674\) 19.5367 12.5554i 0.752524 0.483618i
\(675\) −16.1887 + 20.3206i −0.623104 + 0.782139i
\(676\) −5.92157 6.83386i −0.227753 0.262841i
\(677\) −10.4276 + 16.2257i −0.400767 + 0.623606i −0.981720 0.190332i \(-0.939044\pi\)
0.580953 + 0.813937i \(0.302680\pi\)
\(678\) 7.17960 + 11.3501i 0.275731 + 0.435898i
\(679\) −2.27602 + 15.8301i −0.0873458 + 0.607503i
\(680\) −5.79048 + 1.01915i −0.222055 + 0.0390826i
\(681\) −15.6573 2.36608i −0.599988 0.0906683i
\(682\) −9.33425 20.4392i −0.357427 0.782656i
\(683\) −33.5558 + 21.5650i −1.28398 + 0.825163i −0.991373 0.131071i \(-0.958159\pi\)
−0.292605 + 0.956233i \(0.594522\pi\)
\(684\) 14.0309 + 6.65290i 0.536484 + 0.254380i
\(685\) −0.148401 4.72153i −0.00567010 0.180400i
\(686\) −2.09558 + 0.615319i −0.0800098 + 0.0234930i
\(687\) 9.48340 + 33.1772i 0.361814 + 1.26579i
\(688\) −0.451394 3.13951i −0.0172092 0.119693i
\(689\) 22.3409 0.851121
\(690\) −17.8603 + 5.09996i −0.679930 + 0.194152i
\(691\) 21.6697 0.824355 0.412177 0.911104i \(-0.364768\pi\)
0.412177 + 0.911104i \(0.364768\pi\)
\(692\) 1.28146 + 8.91273i 0.0487137 + 0.338811i
\(693\) 44.3801 + 29.4306i 1.68586 + 1.11798i
\(694\) 23.6986 6.95853i 0.899586 0.264142i
\(695\) 8.91320 0.280147i 0.338097 0.0106266i
\(696\) 4.24228 1.90068i 0.160803 0.0720451i
\(697\) −6.73314 + 4.32713i −0.255036 + 0.163902i
\(698\) 13.7215 + 30.0460i 0.519368 + 1.13726i
\(699\) 1.23745 8.18869i 0.0468046 0.309725i
\(700\) −11.5686 + 15.1813i −0.437253 + 0.573798i
\(701\) 1.64319 11.4286i 0.0620625 0.431654i −0.934974 0.354718i \(-0.884577\pi\)
0.997036 0.0769365i \(-0.0245139\pi\)
\(702\) −9.49317 + 4.09054i −0.358297 + 0.154388i
\(703\) −26.5688 + 41.3419i −1.00206 + 1.55924i
\(704\) −3.04509 3.51422i −0.114766 0.132447i
\(705\) −37.5338 + 12.0164i −1.41360 + 0.452562i
\(706\) 4.94692 3.17919i 0.186180 0.119651i
\(707\) 6.26222 21.3272i 0.235515 0.802090i
\(708\) 0.0116021 1.61532i 0.000436034 0.0607073i
\(709\) −1.87388 6.38183i −0.0703749 0.239675i 0.916792 0.399364i \(-0.130769\pi\)
−0.987167 + 0.159689i \(0.948951\pi\)
\(710\) 3.53055 + 10.7611i 0.132499 + 0.403856i
\(711\) −0.351233 + 24.4491i −0.0131723 + 0.916913i
\(712\) 13.8506 0.519072
\(713\) −22.4314 + 5.82115i −0.840064 + 0.218004i
\(714\) 13.2202 11.2901i 0.494753 0.422523i
\(715\) 16.0502 + 13.0478i 0.600244 + 0.487959i
\(716\) 0.217954 + 0.0995364i 0.00814533 + 0.00371985i
\(717\) 13.8469 21.2098i 0.517123 0.792093i
\(718\) 17.1519 19.7944i 0.640104 0.738720i
\(719\) 9.85108 33.5497i 0.367383 1.25119i −0.543809 0.839209i \(-0.683018\pi\)
0.911192 0.411983i \(-0.135164\pi\)
\(720\) −2.68222 + 6.14864i −0.0999603 + 0.229146i
\(721\) 21.8026 + 47.7411i 0.811973 + 1.77797i
\(722\) 5.10257 + 5.88868i 0.189898 + 0.219154i
\(723\) 8.48391 1.15767i 0.315520 0.0430542i
\(724\) −15.8972 2.28567i −0.590814 0.0849463i
\(725\) −2.96462 + 13.0878i −0.110103 + 0.486069i
\(726\) −2.48751 18.2295i −0.0923200 0.676561i
\(727\) −32.7517 37.7975i −1.21469 1.40183i −0.889968 0.456022i \(-0.849274\pi\)
−0.324725 0.945809i \(-0.605272\pi\)
\(728\) −6.90778 + 3.15468i −0.256019 + 0.116920i
\(729\) −2.68758 26.8659i −0.0995399 0.995034i
\(730\) 14.2358 7.04989i 0.526889 0.260928i
\(731\) −6.30285 5.46145i −0.233119 0.201999i
\(732\) 11.5178 17.6421i 0.425709 0.652071i
\(733\) 8.63708 18.9126i 0.319018 0.698552i −0.680394 0.732847i \(-0.738191\pi\)
0.999412 + 0.0342949i \(0.0109185\pi\)
\(734\) −1.28651 8.94788i −0.0474860 0.330272i
\(735\) 3.46890 29.1209i 0.127952 1.07414i
\(736\) −4.11464 + 2.46368i −0.151668 + 0.0908125i
\(737\) −12.6539 −0.466112
\(738\) −0.131173 + 9.13089i −0.00482855 + 0.336113i
\(739\) −5.32461 + 11.6593i −0.195869 + 0.428893i −0.981927 0.189259i \(-0.939391\pi\)
0.786058 + 0.618153i \(0.212119\pi\)
\(740\) −18.2115 10.9110i −0.669467 0.401097i
\(741\) −17.8345 0.128098i −0.655168 0.00470579i
\(742\) −12.0778 + 41.1333i −0.443391 + 1.51005i
\(743\) 23.5673 + 36.6715i 0.864602 + 1.34535i 0.937492 + 0.348007i \(0.113142\pi\)
−0.0728897 + 0.997340i \(0.523222\pi\)
\(744\) −3.53146 + 7.58812i −0.129470 + 0.278194i
\(745\) −2.68972 + 24.0492i −0.0985436 + 0.881094i
\(746\) −27.5392 17.6984i −1.00828 0.647984i
\(747\) −6.66048 + 21.5342i −0.243694 + 0.787897i
\(748\) −12.1021 1.74003i −0.442498 0.0636216i
\(749\) 38.8952 60.5221i 1.42120 2.21143i
\(750\) −9.54594 16.8486i −0.348568 0.615224i
\(751\) 27.4902 12.5543i 1.00313 0.458115i 0.155008 0.987913i \(-0.450460\pi\)
0.848123 + 0.529799i \(0.177733\pi\)
\(752\) −8.56035 + 5.50140i −0.312164 + 0.200616i
\(753\) 13.9068 + 31.0398i 0.506793 + 1.13115i
\(754\) −3.49641 + 4.03507i −0.127332 + 0.146949i
\(755\) −17.1641 10.2835i −0.624667 0.374256i
\(756\) −2.39921 19.6899i −0.0872586 0.716114i
\(757\) −4.92737 34.2706i −0.179088 1.24559i −0.858878 0.512180i \(-0.828838\pi\)
0.679790 0.733407i \(-0.262071\pi\)
\(758\) 17.2558i 0.626760i
\(759\) −38.5965 1.50117i −1.40096 0.0544889i
\(760\) −8.50468 + 7.85046i −0.308497 + 0.284766i
\(761\) −2.72082 + 0.391195i −0.0986296 + 0.0141808i −0.191453 0.981502i \(-0.561320\pi\)
0.0928233 + 0.995683i \(0.470411\pi\)
\(762\) 6.92307 + 24.2200i 0.250796 + 0.877398i
\(763\) −8.67159 29.5327i −0.313932 1.06916i
\(764\) 14.1654 16.3478i 0.512487 0.591442i
\(765\) 5.25723 + 16.8367i 0.190076 + 0.608734i
\(766\) −5.52757 8.60106i −0.199719 0.310769i
\(767\) 0.770728 + 1.68766i 0.0278294 + 0.0609379i
\(768\) −0.258804 + 1.71261i −0.00933878 + 0.0617984i
\(769\) −10.5539 + 16.4221i −0.380582 + 0.592197i −0.977713 0.209947i \(-0.932671\pi\)
0.597131 + 0.802144i \(0.296307\pi\)
\(770\) −32.7000 + 22.4973i −1.17843 + 0.810745i
\(771\) −30.5986 + 19.3554i −1.10198 + 0.697067i
\(772\) −1.90309 + 2.96126i −0.0684937 + 0.106578i
\(773\) −14.6560 + 12.6995i −0.527141 + 0.456770i −0.877315 0.479914i \(-0.840668\pi\)
0.350175 +