Properties

Label 230.2.j.a.9.7
Level $230$
Weight $2$
Character 230.9
Analytic conductor $1.837$
Analytic rank $0$
Dimension $120$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 230.j (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.83655924649\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(12\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 9.7
Character \(\chi\) \(=\) 230.9
Dual form 230.2.j.a.179.7

$q$-expansion

\(f(q)\) \(=\) \(q+(0.281733 + 0.959493i) q^{2} +(-2.36951 + 2.05319i) q^{3} +(-0.841254 + 0.540641i) q^{4} +(-0.736350 + 2.11135i) q^{5} +(-2.63759 - 1.69508i) q^{6} +(1.55660 + 0.710876i) q^{7} +(-0.755750 - 0.654861i) q^{8} +(0.972037 - 6.76066i) q^{9} +O(q^{10})\) \(q+(0.281733 + 0.959493i) q^{2} +(-2.36951 + 2.05319i) q^{3} +(-0.841254 + 0.540641i) q^{4} +(-0.736350 + 2.11135i) q^{5} +(-2.63759 - 1.69508i) q^{6} +(1.55660 + 0.710876i) q^{7} +(-0.755750 - 0.654861i) q^{8} +(0.972037 - 6.76066i) q^{9} +(-2.23328 - 0.111687i) q^{10} +(-0.297817 - 0.0874469i) q^{11} +(0.883320 - 3.00831i) q^{12} +(-2.61029 + 1.19208i) q^{13} +(-0.243535 + 1.69382i) q^{14} +(-2.59022 - 6.51473i) q^{15} +(0.415415 - 0.909632i) q^{16} +(2.98994 - 4.65244i) q^{17} +(6.76066 - 0.972037i) q^{18} +(-3.72280 + 2.39250i) q^{19} +(-0.522024 - 2.17428i) q^{20} +(-5.14795 + 1.51157i) q^{21} -0.310390i q^{22} +(0.555747 + 4.76352i) q^{23} +3.13531 q^{24} +(-3.91558 - 3.10938i) q^{25} +(-1.87919 - 2.16871i) q^{26} +(6.49246 + 10.1025i) q^{27} +(-1.69382 + 0.243535i) q^{28} +(7.45852 + 4.79330i) q^{29} +(5.52109 - 4.32070i) q^{30} +(-5.47258 + 6.31570i) q^{31} +(0.989821 + 0.142315i) q^{32} +(0.885225 - 0.404269i) q^{33} +(5.30635 + 1.55809i) q^{34} +(-2.64711 + 2.76307i) q^{35} +(2.83736 + 6.21295i) q^{36} +(-5.64261 - 0.811285i) q^{37} +(-3.34442 - 2.89796i) q^{38} +(3.73754 - 8.18407i) q^{39} +(1.93913 - 1.11344i) q^{40} +(-0.124980 - 0.869253i) q^{41} +(-2.90069 - 4.51356i) q^{42} +(3.72558 - 3.22823i) q^{43} +(0.297817 - 0.0874469i) q^{44} +(13.5584 + 7.03052i) q^{45} +(-4.41399 + 1.87528i) q^{46} +10.0105i q^{47} +(0.883320 + 3.00831i) q^{48} +(-2.66636 - 3.07715i) q^{49} +(1.88028 - 4.63298i) q^{50} +(2.46766 + 17.1630i) q^{51} +(1.55143 - 2.41407i) q^{52} +(-3.19855 - 1.46073i) q^{53} +(-7.86411 + 9.07566i) q^{54} +(0.403928 - 0.564403i) q^{55} +(-0.710876 - 1.55660i) q^{56} +(3.90896 - 13.3127i) q^{57} +(-2.49783 + 8.50682i) q^{58} +(2.22335 + 4.86845i) q^{59} +(5.70116 + 4.08016i) q^{60} +(-3.37456 + 3.89445i) q^{61} +(-7.60167 - 3.47157i) q^{62} +(6.31907 - 9.83266i) q^{63} +(0.142315 + 0.989821i) q^{64} +(-0.594807 - 6.38902i) q^{65} +(0.637290 + 0.735472i) q^{66} +(-0.478081 - 1.62819i) q^{67} +5.53037i q^{68} +(-11.0973 - 10.1462i) q^{69} +(-3.39693 - 1.76144i) q^{70} +(7.87988 - 2.31374i) q^{71} +(-5.16191 + 4.47282i) q^{72} +(1.64086 + 2.55323i) q^{73} +(-0.811285 - 5.64261i) q^{74} +(15.6622 - 0.671724i) q^{75} +(1.83834 - 4.02540i) q^{76} +(-0.401418 - 0.347831i) q^{77} +(8.90555 + 1.28042i) q^{78} +(-3.42080 - 7.49052i) q^{79} +(1.61466 + 1.54689i) q^{80} +(-16.4657 - 4.83477i) q^{81} +(0.798832 - 0.364814i) q^{82} +(-0.701218 - 0.100820i) q^{83} +(3.51351 - 4.05481i) q^{84} +(7.62128 + 9.73864i) q^{85} +(4.14709 + 2.66517i) q^{86} +(-27.5146 + 3.95600i) q^{87} +(0.167809 + 0.261116i) q^{88} +(6.06502 + 6.99941i) q^{89} +(-2.92591 + 14.9899i) q^{90} -4.91060 q^{91} +(-3.04288 - 3.70687i) q^{92} -26.2014i q^{93} +(-9.60505 + 2.82030i) q^{94} +(-2.31011 - 9.62185i) q^{95} +(-2.63759 + 1.69508i) q^{96} +(17.0747 - 2.45497i) q^{97} +(2.20130 - 3.42529i) q^{98} +(-0.880687 + 1.92844i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9} + 8 q^{11} - 6 q^{15} - 12 q^{16} - 16 q^{19} - 22 q^{20} + 4 q^{24} - 52 q^{25} - 4 q^{26} - 8 q^{29} - 44 q^{30} + 12 q^{31} + 16 q^{35} - 8 q^{36} - 36 q^{39} - 28 q^{41} - 8 q^{44} + 16 q^{45} - 4 q^{46} - 58 q^{49} + 12 q^{50} - 24 q^{51} - 6 q^{54} - 36 q^{55} + 22 q^{56} - 102 q^{59} - 38 q^{60} + 72 q^{61} + 12 q^{64} - 138 q^{65} + 80 q^{66} - 212 q^{69} - 108 q^{70} + 176 q^{71} - 88 q^{74} - 100 q^{75} + 16 q^{76} - 104 q^{79} - 22 q^{80} - 28 q^{81} - 22 q^{84} + 2 q^{85} + 62 q^{86} + 48 q^{89} + 24 q^{90} - 56 q^{91} + 24 q^{94} + 18 q^{95} - 4 q^{96} + 188 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.281733 + 0.959493i 0.199215 + 0.678464i
\(3\) −2.36951 + 2.05319i −1.36804 + 1.18541i −0.405554 + 0.914071i \(0.632922\pi\)
−0.962483 + 0.271341i \(0.912533\pi\)
\(4\) −0.841254 + 0.540641i −0.420627 + 0.270320i
\(5\) −0.736350 + 2.11135i −0.329306 + 0.944223i
\(6\) −2.63759 1.69508i −1.07679 0.692013i
\(7\) 1.55660 + 0.710876i 0.588340 + 0.268686i 0.687262 0.726409i \(-0.258812\pi\)
−0.0989224 + 0.995095i \(0.531540\pi\)
\(8\) −0.755750 0.654861i −0.267198 0.231528i
\(9\) 0.972037 6.76066i 0.324012 2.25355i
\(10\) −2.23328 0.111687i −0.706224 0.0353186i
\(11\) −0.297817 0.0874469i −0.0897951 0.0263662i 0.236526 0.971625i \(-0.423991\pi\)
−0.326321 + 0.945259i \(0.605809\pi\)
\(12\) 0.883320 3.00831i 0.254992 0.868424i
\(13\) −2.61029 + 1.19208i −0.723964 + 0.330623i −0.743088 0.669194i \(-0.766640\pi\)
0.0191239 + 0.999817i \(0.493912\pi\)
\(14\) −0.243535 + 1.69382i −0.0650875 + 0.452694i
\(15\) −2.59022 6.51473i −0.668791 1.68210i
\(16\) 0.415415 0.909632i 0.103854 0.227408i
\(17\) 2.98994 4.65244i 0.725168 1.12838i −0.261431 0.965222i \(-0.584195\pi\)
0.986599 0.163161i \(-0.0521691\pi\)
\(18\) 6.76066 0.972037i 1.59350 0.229111i
\(19\) −3.72280 + 2.39250i −0.854070 + 0.548877i −0.892842 0.450371i \(-0.851292\pi\)
0.0387719 + 0.999248i \(0.487655\pi\)
\(20\) −0.522024 2.17428i −0.116728 0.486184i
\(21\) −5.14795 + 1.51157i −1.12337 + 0.329853i
\(22\) 0.310390i 0.0661753i
\(23\) 0.555747 + 4.76352i 0.115881 + 0.993263i
\(24\) 3.13531 0.639993
\(25\) −3.91558 3.10938i −0.783116 0.621876i
\(26\) −1.87919 2.16871i −0.368540 0.425318i
\(27\) 6.49246 + 10.1025i 1.24947 + 1.94422i
\(28\) −1.69382 + 0.243535i −0.320103 + 0.0460238i
\(29\) 7.45852 + 4.79330i 1.38501 + 0.890093i 0.999469 0.0325968i \(-0.0103777\pi\)
0.385543 + 0.922690i \(0.374014\pi\)
\(30\) 5.52109 4.32070i 1.00801 0.788849i
\(31\) −5.47258 + 6.31570i −0.982905 + 1.13433i 0.00802676 + 0.999968i \(0.497445\pi\)
−0.990932 + 0.134365i \(0.957100\pi\)
\(32\) 0.989821 + 0.142315i 0.174977 + 0.0251579i
\(33\) 0.885225 0.404269i 0.154098 0.0703742i
\(34\) 5.30635 + 1.55809i 0.910032 + 0.267209i
\(35\) −2.64711 + 2.76307i −0.447443 + 0.467045i
\(36\) 2.83736 + 6.21295i 0.472894 + 1.03549i
\(37\) −5.64261 0.811285i −0.927640 0.133374i −0.338097 0.941111i \(-0.609783\pi\)
−0.589543 + 0.807737i \(0.700692\pi\)
\(38\) −3.34442 2.89796i −0.542537 0.470111i
\(39\) 3.73754 8.18407i 0.598485 1.31050i
\(40\) 1.93913 1.11344i 0.306604 0.176051i
\(41\) −0.124980 0.869253i −0.0195186 0.135755i 0.977732 0.209857i \(-0.0672999\pi\)
−0.997251 + 0.0741025i \(0.976391\pi\)
\(42\) −2.90069 4.51356i −0.447586 0.696458i
\(43\) 3.72558 3.22823i 0.568146 0.492301i −0.322765 0.946479i \(-0.604612\pi\)
0.890911 + 0.454178i \(0.150067\pi\)
\(44\) 0.297817 0.0874469i 0.0448975 0.0131831i
\(45\) 13.5584 + 7.03052i 2.02116 + 1.04805i
\(46\) −4.41399 + 1.87528i −0.650808 + 0.276494i
\(47\) 10.0105i 1.46019i 0.683347 + 0.730094i \(0.260524\pi\)
−0.683347 + 0.730094i \(0.739476\pi\)
\(48\) 0.883320 + 3.00831i 0.127496 + 0.434212i
\(49\) −2.66636 3.07715i −0.380909 0.439592i
\(50\) 1.88028 4.63298i 0.265912 0.655203i
\(51\) 2.46766 + 17.1630i 0.345541 + 2.40329i
\(52\) 1.55143 2.41407i 0.215144 0.334771i
\(53\) −3.19855 1.46073i −0.439355 0.200647i 0.183441 0.983031i \(-0.441276\pi\)
−0.622796 + 0.782384i \(0.714003\pi\)
\(54\) −7.86411 + 9.07566i −1.07017 + 1.23504i
\(55\) 0.403928 0.564403i 0.0544656 0.0761041i
\(56\) −0.710876 1.55660i −0.0949948 0.208010i
\(57\) 3.90896 13.3127i 0.517754 1.76331i
\(58\) −2.49783 + 8.50682i −0.327981 + 1.11700i
\(59\) 2.22335 + 4.86845i 0.289455 + 0.633819i 0.997370 0.0724793i \(-0.0230911\pi\)
−0.707915 + 0.706298i \(0.750364\pi\)
\(60\) 5.70116 + 4.08016i 0.736016 + 0.526747i
\(61\) −3.37456 + 3.89445i −0.432068 + 0.498633i −0.929475 0.368884i \(-0.879740\pi\)
0.497407 + 0.867517i \(0.334285\pi\)
\(62\) −7.60167 3.47157i −0.965414 0.440890i
\(63\) 6.31907 9.83266i 0.796127 1.23880i
\(64\) 0.142315 + 0.989821i 0.0177894 + 0.123728i
\(65\) −0.594807 6.38902i −0.0737768 0.792460i
\(66\) 0.637290 + 0.735472i 0.0784449 + 0.0905303i
\(67\) −0.478081 1.62819i −0.0584069 0.198916i 0.925121 0.379673i \(-0.123963\pi\)
−0.983528 + 0.180757i \(0.942145\pi\)
\(68\) 5.53037i 0.670656i
\(69\) −11.0973 10.1462i −1.33596 1.22145i
\(70\) −3.39693 1.76144i −0.406010 0.210532i
\(71\) 7.87988 2.31374i 0.935170 0.274591i 0.221570 0.975144i \(-0.428882\pi\)
0.713600 + 0.700554i \(0.247064\pi\)
\(72\) −5.16191 + 4.47282i −0.608337 + 0.527127i
\(73\) 1.64086 + 2.55323i 0.192048 + 0.298833i 0.923902 0.382628i \(-0.124981\pi\)
−0.731854 + 0.681462i \(0.761345\pi\)
\(74\) −0.811285 5.64261i −0.0943100 0.655940i
\(75\) 15.6622 0.671724i 1.80851 0.0775640i
\(76\) 1.83834 4.02540i 0.210872 0.461745i
\(77\) −0.401418 0.347831i −0.0457458 0.0396390i
\(78\) 8.90555 + 1.28042i 1.00835 + 0.144980i
\(79\) −3.42080 7.49052i −0.384871 0.842749i −0.998583 0.0532193i \(-0.983052\pi\)
0.613712 0.789530i \(-0.289675\pi\)
\(80\) 1.61466 + 1.54689i 0.180524 + 0.172948i
\(81\) −16.4657 4.83477i −1.82953 0.537197i
\(82\) 0.798832 0.364814i 0.0882162 0.0402870i
\(83\) −0.701218 0.100820i −0.0769687 0.0110664i 0.103723 0.994606i \(-0.466924\pi\)
−0.180692 + 0.983540i \(0.557834\pi\)
\(84\) 3.51351 4.05481i 0.383356 0.442416i
\(85\) 7.62128 + 9.73864i 0.826644 + 1.05630i
\(86\) 4.14709 + 2.66517i 0.447192 + 0.287393i
\(87\) −27.5146 + 3.95600i −2.94988 + 0.424128i
\(88\) 0.167809 + 0.261116i 0.0178885 + 0.0278351i
\(89\) 6.06502 + 6.99941i 0.642891 + 0.741936i 0.979883 0.199572i \(-0.0639551\pi\)
−0.336992 + 0.941507i \(0.609410\pi\)
\(90\) −2.92591 + 14.9899i −0.308418 + 1.58007i
\(91\) −4.91060 −0.514771
\(92\) −3.04288 3.70687i −0.317242 0.386468i
\(93\) 26.2014i 2.71696i
\(94\) −9.60505 + 2.82030i −0.990685 + 0.290891i
\(95\) −2.31011 9.62185i −0.237013 0.987181i
\(96\) −2.63759 + 1.69508i −0.269198 + 0.173003i
\(97\) 17.0747 2.45497i 1.73367 0.249265i 0.798132 0.602482i \(-0.205822\pi\)
0.935541 + 0.353218i \(0.114913\pi\)
\(98\) 2.20130 3.42529i 0.222365 0.346006i
\(99\) −0.880687 + 1.92844i −0.0885124 + 0.193815i
\(100\) 4.97505 + 0.498857i 0.497505 + 0.0498857i
\(101\) 1.14824 7.98619i 0.114254 0.794655i −0.849447 0.527673i \(-0.823064\pi\)
0.963702 0.266982i \(-0.0860264\pi\)
\(102\) −15.7725 + 7.20306i −1.56171 + 0.713210i
\(103\) −3.94676 + 13.4414i −0.388886 + 1.32442i 0.499893 + 0.866087i \(0.333373\pi\)
−0.888779 + 0.458336i \(0.848446\pi\)
\(104\) 2.75337 + 0.808463i 0.269990 + 0.0792763i
\(105\) 0.599233 11.9822i 0.0584791 1.16934i
\(106\) 0.500424 3.48052i 0.0486054 0.338058i
\(107\) 1.03399 + 0.895959i 0.0999598 + 0.0866156i 0.703407 0.710787i \(-0.251661\pi\)
−0.603447 + 0.797403i \(0.706207\pi\)
\(108\) −10.9236 4.98865i −1.05112 0.480033i
\(109\) 11.7161 + 7.52948i 1.12220 + 0.721193i 0.963918 0.266201i \(-0.0857684\pi\)
0.158281 + 0.987394i \(0.449405\pi\)
\(110\) 0.655340 + 0.228555i 0.0624843 + 0.0217919i
\(111\) 15.0360 9.66302i 1.42715 0.917174i
\(112\) 1.29327 1.12063i 0.122203 0.105889i
\(113\) 5.33157 + 18.1577i 0.501552 + 1.70813i 0.688041 + 0.725672i \(0.258471\pi\)
−0.186489 + 0.982457i \(0.559711\pi\)
\(114\) 13.8747 1.29949
\(115\) −10.4667 2.33424i −0.976023 0.217669i
\(116\) −8.86596 −0.823183
\(117\) 5.52195 + 18.8060i 0.510504 + 1.73862i
\(118\) −4.04486 + 3.50489i −0.372359 + 0.322651i
\(119\) 7.96146 5.11652i 0.729826 0.469031i
\(120\) −2.30869 + 6.61973i −0.210753 + 0.604296i
\(121\) −9.17274 5.89496i −0.833886 0.535906i
\(122\) −4.68742 2.14067i −0.424379 0.193807i
\(123\) 2.08089 + 1.80310i 0.187627 + 0.162580i
\(124\) 1.18931 8.27181i 0.106803 0.742830i
\(125\) 9.44822 5.97755i 0.845074 0.534649i
\(126\) 11.2147 + 3.29292i 0.999081 + 0.293357i
\(127\) 3.83108 13.0474i 0.339953 1.15777i −0.595214 0.803567i \(-0.702933\pi\)
0.935167 0.354207i \(-0.115249\pi\)
\(128\) −0.909632 + 0.415415i −0.0804009 + 0.0367178i
\(129\) −2.19962 + 15.2987i −0.193666 + 1.34697i
\(130\) 5.96264 2.37071i 0.522958 0.207925i
\(131\) 5.42795 11.8856i 0.474243 1.03845i −0.509764 0.860314i \(-0.670267\pi\)
0.984007 0.178132i \(-0.0570055\pi\)
\(132\) −0.526135 + 0.818681i −0.0457941 + 0.0712571i
\(133\) −7.49569 + 1.07772i −0.649959 + 0.0934500i
\(134\) 1.42755 0.917431i 0.123322 0.0792539i
\(135\) −26.1105 + 6.26889i −2.24724 + 0.539540i
\(136\) −5.30635 + 1.55809i −0.455016 + 0.133605i
\(137\) 4.70220i 0.401736i 0.979618 + 0.200868i \(0.0643763\pi\)
−0.979618 + 0.200868i \(0.935624\pi\)
\(138\) 6.60871 13.5063i 0.562570 1.14973i
\(139\) −18.1229 −1.53716 −0.768581 0.639752i \(-0.779037\pi\)
−0.768581 + 0.639752i \(0.779037\pi\)
\(140\) 0.733060 3.75558i 0.0619549 0.317404i
\(141\) −20.5536 23.7201i −1.73092 1.99759i
\(142\) 4.44004 + 6.90883i 0.372600 + 0.579776i
\(143\) 0.881631 0.126759i 0.0737257 0.0106002i
\(144\) −5.74592 3.69268i −0.478826 0.307723i
\(145\) −15.6124 + 12.2180i −1.29654 + 1.01465i
\(146\) −1.98752 + 2.29372i −0.164489 + 0.189830i
\(147\) 12.6360 + 1.81678i 1.04220 + 0.149845i
\(148\) 5.18548 2.36813i 0.426244 0.194659i
\(149\) −6.35080 1.86476i −0.520278 0.152767i 0.0110414 0.999939i \(-0.496485\pi\)
−0.531319 + 0.847172i \(0.678304\pi\)
\(150\) 5.05706 + 14.8385i 0.412907 + 1.21156i
\(151\) 6.28751 + 13.7677i 0.511671 + 1.12040i 0.972498 + 0.232912i \(0.0748255\pi\)
−0.460827 + 0.887490i \(0.652447\pi\)
\(152\) 4.38026 + 0.629787i 0.355286 + 0.0510824i
\(153\) −28.5473 24.7364i −2.30791 1.99982i
\(154\) 0.220648 0.483153i 0.0177804 0.0389336i
\(155\) −9.30490 16.2051i −0.747387 1.30162i
\(156\) 1.28042 + 8.90555i 0.102516 + 0.713014i
\(157\) 11.3249 + 17.6219i 0.903828 + 1.40638i 0.913681 + 0.406432i \(0.133227\pi\)
−0.00985312 + 0.999951i \(0.503136\pi\)
\(158\) 6.22335 5.39256i 0.495103 0.429009i
\(159\) 10.5782 3.10603i 0.838903 0.246324i
\(160\) −1.02933 + 1.98506i −0.0813758 + 0.156933i
\(161\) −2.52120 + 7.80997i −0.198698 + 0.615512i
\(162\) 17.1609i 1.34828i
\(163\) 0.636868 + 2.16897i 0.0498833 + 0.169887i 0.980667 0.195683i \(-0.0626923\pi\)
−0.930784 + 0.365570i \(0.880874\pi\)
\(164\) 0.575093 + 0.663693i 0.0449073 + 0.0518257i
\(165\) 0.201717 + 2.16670i 0.0157036 + 0.168677i
\(166\) −0.100820 0.701218i −0.00782514 0.0544251i
\(167\) 4.53256 7.05281i 0.350740 0.545763i −0.620396 0.784289i \(-0.713028\pi\)
0.971136 + 0.238526i \(0.0766643\pi\)
\(168\) 4.88043 + 2.22882i 0.376533 + 0.171957i
\(169\) −3.12063 + 3.60140i −0.240049 + 0.277031i
\(170\) −7.19699 + 10.0563i −0.551984 + 0.771280i
\(171\) 12.5562 + 27.4942i 0.960196 + 2.10254i
\(172\) −1.38884 + 4.72996i −0.105898 + 0.360656i
\(173\) 1.67297 5.69761i 0.127193 0.433181i −0.871131 0.491051i \(-0.836613\pi\)
0.998324 + 0.0578702i \(0.0184310\pi\)
\(174\) −11.5475 25.2855i −0.875415 1.91689i
\(175\) −3.88461 7.62356i −0.293649 0.576287i
\(176\) −0.203262 + 0.234577i −0.0153214 + 0.0176819i
\(177\) −15.2641 6.97089i −1.14732 0.523964i
\(178\) −5.00717 + 7.79131i −0.375303 + 0.583983i
\(179\) 0.668701 + 4.65092i 0.0499811 + 0.347626i 0.999432 + 0.0337095i \(0.0107321\pi\)
−0.949451 + 0.313916i \(0.898359\pi\)
\(180\) −15.2070 + 1.41575i −1.13346 + 0.105524i
\(181\) 5.20359 + 6.00526i 0.386780 + 0.446368i 0.915433 0.402470i \(-0.131848\pi\)
−0.528653 + 0.848838i \(0.677303\pi\)
\(182\) −1.38348 4.71169i −0.102550 0.349253i
\(183\) 16.1566i 1.19433i
\(184\) 2.69944 3.96397i 0.199005 0.292228i
\(185\) 5.86784 11.3161i 0.431412 0.831978i
\(186\) 25.1400 7.38178i 1.84336 0.541259i
\(187\) −1.29730 + 1.12411i −0.0948677 + 0.0822034i
\(188\) −5.41211 8.42141i −0.394719 0.614194i
\(189\) 2.92457 + 20.3408i 0.212731 + 1.47958i
\(190\) 8.58126 4.92733i 0.622550 0.357466i
\(191\) 5.35322 11.7219i 0.387345 0.848167i −0.611053 0.791590i \(-0.709254\pi\)
0.998398 0.0565778i \(-0.0180189\pi\)
\(192\) −2.36951 2.05319i −0.171005 0.148176i
\(193\) 8.50934 + 1.22346i 0.612515 + 0.0880664i 0.441589 0.897217i \(-0.354415\pi\)
0.170926 + 0.985284i \(0.445324\pi\)
\(194\) 7.16603 + 15.6914i 0.514491 + 1.12658i
\(195\) 14.5273 + 13.9176i 1.04032 + 0.996659i
\(196\) 3.90672 + 1.14712i 0.279051 + 0.0819369i
\(197\) 7.48713 3.41926i 0.533436 0.243612i −0.130438 0.991456i \(-0.541638\pi\)
0.663874 + 0.747844i \(0.268911\pi\)
\(198\) −2.09844 0.301710i −0.149130 0.0214416i
\(199\) 4.88897 5.64217i 0.346570 0.399963i −0.555525 0.831500i \(-0.687483\pi\)
0.902096 + 0.431536i \(0.142028\pi\)
\(200\) 0.922985 + 4.91407i 0.0652649 + 0.347477i
\(201\) 4.47581 + 2.87643i 0.315700 + 0.202888i
\(202\) 7.98619 1.14824i 0.561906 0.0807899i
\(203\) 8.20250 + 12.7633i 0.575702 + 0.895810i
\(204\) −11.3549 13.1043i −0.795003 0.917483i
\(205\) 1.92732 + 0.376199i 0.134610 + 0.0262749i
\(206\) −14.0089 −0.976046
\(207\) 32.7448 + 0.873097i 2.27592 + 0.0606844i
\(208\) 2.86961i 0.198972i
\(209\) 1.31793 0.386979i 0.0911631 0.0267679i
\(210\) 11.6656 2.80080i 0.805004 0.193274i
\(211\) 10.9253 7.02125i 0.752128 0.483363i −0.107550 0.994200i \(-0.534301\pi\)
0.859678 + 0.510837i \(0.170664\pi\)
\(212\) 3.48052 0.500424i 0.239043 0.0343692i
\(213\) −13.9209 + 21.6614i −0.953845 + 1.48421i
\(214\) −0.568357 + 1.24453i −0.0388521 + 0.0850742i
\(215\) 4.07259 + 10.2431i 0.277749 + 0.698574i
\(216\) 1.70903 11.8866i 0.116285 0.808780i
\(217\) −13.0083 + 5.94070i −0.883061 + 0.403281i
\(218\) −3.92368 + 13.3628i −0.265745 + 0.905044i
\(219\) −9.13032 2.68090i −0.616970 0.181159i
\(220\) −0.0346665 + 0.693186i −0.00233722 + 0.0467346i
\(221\) −2.25854 + 15.7085i −0.151926 + 1.05667i
\(222\) 13.5077 + 11.7045i 0.906579 + 0.785555i
\(223\) −0.179227 0.0818505i −0.0120020 0.00548111i 0.409405 0.912353i \(-0.365736\pi\)
−0.421407 + 0.906872i \(0.638464\pi\)
\(224\) 1.43959 + 0.925168i 0.0961866 + 0.0618154i
\(225\) −24.8276 + 23.4495i −1.65517 + 1.56330i
\(226\) −15.9201 + 10.2312i −1.05899 + 0.680570i
\(227\) −5.27296 + 4.56905i −0.349979 + 0.303258i −0.812054 0.583583i \(-0.801650\pi\)
0.462075 + 0.886841i \(0.347105\pi\)
\(228\) 3.90896 + 13.3127i 0.258877 + 0.881655i
\(229\) 4.36872 0.288693 0.144347 0.989527i \(-0.453892\pi\)
0.144347 + 0.989527i \(0.453892\pi\)
\(230\) −0.709114 10.7003i −0.0467576 0.705559i
\(231\) 1.66533 0.109570
\(232\) −2.49783 8.50682i −0.163990 0.558500i
\(233\) −9.11668 + 7.89965i −0.597254 + 0.517523i −0.900196 0.435486i \(-0.856577\pi\)
0.302942 + 0.953009i \(0.402031\pi\)
\(234\) −16.4885 + 10.5965i −1.07789 + 0.692718i
\(235\) −21.1357 7.37126i −1.37874 0.480848i
\(236\) −4.50249 2.89357i −0.293087 0.188355i
\(237\) 23.4851 + 10.7253i 1.52552 + 0.696683i
\(238\) 7.15227 + 6.19748i 0.463613 + 0.401723i
\(239\) −3.41207 + 23.7314i −0.220708 + 1.53506i 0.514661 + 0.857394i \(0.327918\pi\)
−0.735370 + 0.677666i \(0.762991\pi\)
\(240\) −7.00202 0.350174i −0.451979 0.0226036i
\(241\) 18.9449 + 5.56273i 1.22035 + 0.358327i 0.827600 0.561318i \(-0.189706\pi\)
0.392750 + 0.919645i \(0.371524\pi\)
\(242\) 3.07192 10.4620i 0.197470 0.672522i
\(243\) 16.1716 7.38533i 1.03741 0.473769i
\(244\) 0.733362 5.10064i 0.0469487 0.326535i
\(245\) 8.46030 3.36376i 0.540509 0.214903i
\(246\) −1.14381 + 2.50459i −0.0729264 + 0.159687i
\(247\) 6.86554 10.6830i 0.436844 0.679743i
\(248\) 8.27181 1.18931i 0.525260 0.0755210i
\(249\) 1.86855 1.20084i 0.118414 0.0761002i
\(250\) 8.39729 + 7.38143i 0.531091 + 0.466843i
\(251\) 22.0043 6.46105i 1.38890 0.407818i 0.500043 0.866001i \(-0.333318\pi\)
0.888858 + 0.458182i \(0.151499\pi\)
\(252\) 11.6881i 0.736281i
\(253\) 0.251044 1.46725i 0.0157830 0.0922455i
\(254\) 13.5983 0.853232
\(255\) −38.0540 7.42785i −2.38303 0.465150i
\(256\) −0.654861 0.755750i −0.0409288 0.0472343i
\(257\) 0.962922 + 1.49834i 0.0600654 + 0.0934636i 0.869987 0.493074i \(-0.164127\pi\)
−0.809922 + 0.586538i \(0.800491\pi\)
\(258\) −15.2987 + 2.19962i −0.952454 + 0.136942i
\(259\) −8.20657 5.27405i −0.509932 0.327713i
\(260\) 3.95455 + 5.05320i 0.245251 + 0.313386i
\(261\) 39.6558 45.7653i 2.45463 2.83280i
\(262\) 12.9333 + 1.85953i 0.799025 + 0.114882i
\(263\) −4.55507 + 2.08023i −0.280878 + 0.128273i −0.550873 0.834589i \(-0.685705\pi\)
0.269995 + 0.962862i \(0.412978\pi\)
\(264\) −0.933748 0.274173i −0.0574682 0.0168742i
\(265\) 5.43936 5.67765i 0.334137 0.348775i
\(266\) −3.14584 6.88843i −0.192884 0.422357i
\(267\) −28.7423 4.13251i −1.75900 0.252906i
\(268\) 1.28246 + 1.11125i 0.0783384 + 0.0678806i
\(269\) −4.11406 + 9.00853i −0.250839 + 0.549260i −0.992604 0.121400i \(-0.961262\pi\)
0.741765 + 0.670660i \(0.233989\pi\)
\(270\) −13.3711 23.2867i −0.813742 1.41719i
\(271\) −2.86590 19.9327i −0.174091 1.21083i −0.870129 0.492823i \(-0.835965\pi\)
0.696039 0.718004i \(-0.254944\pi\)
\(272\) −2.98994 4.65244i −0.181292 0.282096i
\(273\) 11.6357 10.0824i 0.704226 0.610215i
\(274\) −4.51173 + 1.32476i −0.272564 + 0.0800319i
\(275\) 0.894219 + 1.26843i 0.0539234 + 0.0764892i
\(276\) 14.8211 + 2.53585i 0.892123 + 0.152640i
\(277\) 7.60380i 0.456868i −0.973559 0.228434i \(-0.926640\pi\)
0.973559 0.228434i \(-0.0733605\pi\)
\(278\) −5.10580 17.3888i −0.306226 1.04291i
\(279\) 37.3788 + 43.1374i 2.23781 + 2.58257i
\(280\) 3.80998 0.354703i 0.227690 0.0211976i
\(281\) −4.11003 28.5859i −0.245184 1.70529i −0.625327 0.780363i \(-0.715034\pi\)
0.380143 0.924928i \(-0.375875\pi\)
\(282\) 16.9687 26.4037i 1.01047 1.57232i
\(283\) −2.82957 1.29222i −0.168200 0.0768145i 0.329536 0.944143i \(-0.393108\pi\)
−0.497736 + 0.867329i \(0.665835\pi\)
\(284\) −5.37807 + 6.20663i −0.319130 + 0.368296i
\(285\) 25.2294 + 18.0560i 1.49446 + 1.06954i
\(286\) 0.370009 + 0.810207i 0.0218791 + 0.0479085i
\(287\) 0.423388 1.44193i 0.0249918 0.0851142i
\(288\) 1.92429 6.55351i 0.113390 0.386170i
\(289\) −5.64341 12.3574i −0.331966 0.726903i
\(290\) −16.1216 11.5378i −0.946692 0.677522i
\(291\) −35.4182 + 40.8747i −2.07625 + 2.39612i
\(292\) −2.76076 1.26080i −0.161561 0.0737826i
\(293\) 5.33958 8.30854i 0.311941 0.485390i −0.649515 0.760349i \(-0.725028\pi\)
0.961456 + 0.274959i \(0.0886642\pi\)
\(294\) 1.81678 + 12.6360i 0.105957 + 0.736944i
\(295\) −11.9162 + 1.10938i −0.693786 + 0.0645904i
\(296\) 3.73312 + 4.30825i 0.216983 + 0.250412i
\(297\) −1.05013 3.57643i −0.0609350 0.207525i
\(298\) 6.61891i 0.383423i
\(299\) −7.12916 11.7717i −0.412290 0.680774i
\(300\) −12.8127 + 9.03270i −0.739741 + 0.521503i
\(301\) 8.09412 2.37665i 0.466537 0.136988i
\(302\) −11.4386 + 9.91164i −0.658220 + 0.570351i
\(303\) 13.6764 + 21.2809i 0.785690 + 1.22256i
\(304\) 0.629787 + 4.38026i 0.0361207 + 0.251225i
\(305\) −5.73768 9.99255i −0.328539 0.572172i
\(306\) 15.6917 34.3599i 0.897032 1.96423i
\(307\) −4.63490 4.01616i −0.264527 0.229214i 0.512490 0.858693i \(-0.328723\pi\)
−0.777018 + 0.629479i \(0.783268\pi\)
\(308\) 0.525746 + 0.0755908i 0.0299571 + 0.00430719i
\(309\) −18.2460 39.9531i −1.03798 2.27285i
\(310\) 12.9272 13.4935i 0.734214 0.766379i
\(311\) −21.3138 6.25829i −1.20859 0.354875i −0.385461 0.922724i \(-0.625957\pi\)
−0.823132 + 0.567849i \(0.807776\pi\)
\(312\) −8.18407 + 3.73754i −0.463332 + 0.211597i
\(313\) −2.67400 0.384463i −0.151143 0.0217311i 0.0663278 0.997798i \(-0.478872\pi\)
−0.217471 + 0.976067i \(0.569781\pi\)
\(314\) −13.7175 + 15.8309i −0.774125 + 0.893387i
\(315\) 16.1071 + 20.5820i 0.907533 + 1.15967i
\(316\) 6.92744 + 4.45200i 0.389699 + 0.250444i
\(317\) −22.4536 + 3.22835i −1.26112 + 0.181322i −0.740261 0.672320i \(-0.765298\pi\)
−0.520861 + 0.853642i \(0.674389\pi\)
\(318\) 5.96043 + 9.27460i 0.334244 + 0.520094i
\(319\) −1.80211 2.07975i −0.100899 0.116444i
\(320\) −2.19465 0.428379i −0.122685 0.0239471i
\(321\) −4.28963 −0.239424
\(322\) −8.20392 0.218747i −0.457186 0.0121903i
\(323\) 24.4736i 1.36175i
\(324\) 16.4657 4.83477i 0.914763 0.268599i
\(325\) 13.9274 + 3.44871i 0.772554 + 0.191300i
\(326\) −1.90169 + 1.22214i −0.105325 + 0.0676881i
\(327\) −43.2209 + 6.21423i −2.39012 + 0.343648i
\(328\) −0.474786 + 0.738782i −0.0262157 + 0.0407924i
\(329\) −7.11626 + 15.5824i −0.392332 + 0.859087i
\(330\) −2.02210 + 0.803976i −0.111313 + 0.0442574i
\(331\) 0.372121 2.58816i 0.0204536 0.142258i −0.977036 0.213076i \(-0.931652\pi\)
0.997489 + 0.0708180i \(0.0225609\pi\)
\(332\) 0.644409 0.294292i 0.0353666 0.0161514i
\(333\) −10.9697 + 37.3592i −0.601133 + 2.04727i
\(334\) 8.04409 + 2.36196i 0.440153 + 0.129241i
\(335\) 3.78972 + 0.189525i 0.207054 + 0.0103549i
\(336\) −0.763559 + 5.31067i −0.0416556 + 0.289721i
\(337\) −3.35311 2.90549i −0.182656 0.158272i 0.558734 0.829347i \(-0.311287\pi\)
−0.741389 + 0.671075i \(0.765833\pi\)
\(338\) −4.33470 1.97959i −0.235777 0.107676i
\(339\) −49.9144 32.0780i −2.71098 1.74224i
\(340\) −11.6765 4.07229i −0.633249 0.220851i
\(341\) 2.18211 1.40236i 0.118168 0.0759420i
\(342\) −22.8430 + 19.7936i −1.23521 + 1.07031i
\(343\) −5.33778 18.1788i −0.288213 0.981564i
\(344\) −4.92965 −0.265789
\(345\) 29.5936 15.9591i 1.59326 0.859209i
\(346\) 5.93814 0.319237
\(347\) −8.32057 28.3373i −0.446672 1.52122i −0.808226 0.588873i \(-0.799572\pi\)
0.361554 0.932351i \(-0.382246\pi\)
\(348\) 21.0080 18.2035i 1.12615 0.975811i
\(349\) 22.9030 14.7189i 1.22597 0.787883i 0.242712 0.970098i \(-0.421963\pi\)
0.983259 + 0.182215i \(0.0583267\pi\)
\(350\) 6.22033 5.87506i 0.332490 0.314035i
\(351\) −28.9901 18.6308i −1.54738 0.994440i
\(352\) −0.282340 0.128941i −0.0150488 0.00687255i
\(353\) −17.2894 14.9814i −0.920222 0.797377i 0.0593985 0.998234i \(-0.481082\pi\)
−0.979620 + 0.200857i \(0.935627\pi\)
\(354\) 2.38812 16.6097i 0.126927 0.882798i
\(355\) −0.917236 + 18.3409i −0.0486818 + 0.973433i
\(356\) −8.88639 2.60928i −0.470978 0.138291i
\(357\) −8.35957 + 28.4701i −0.442435 + 1.50680i
\(358\) −4.27413 + 1.95193i −0.225895 + 0.103163i
\(359\) −1.05822 + 7.36006i −0.0558506 + 0.388449i 0.942654 + 0.333773i \(0.108322\pi\)
−0.998504 + 0.0546764i \(0.982587\pi\)
\(360\) −5.64271 14.1921i −0.297397 0.747992i
\(361\) 0.242323 0.530613i 0.0127538 0.0279270i
\(362\) −4.29599 + 6.68469i −0.225792 + 0.351339i
\(363\) 33.8384 4.86523i 1.77606 0.255358i
\(364\) 4.13106 2.65487i 0.216526 0.139153i
\(365\) −6.59901 + 1.58436i −0.345408 + 0.0829292i
\(366\) 15.5021 4.55183i 0.810308 0.237928i
\(367\) 11.8624i 0.619214i 0.950865 + 0.309607i \(0.100197\pi\)
−0.950865 + 0.309607i \(0.899803\pi\)
\(368\) 4.56392 + 1.47331i 0.237911 + 0.0768018i
\(369\) −5.99821 −0.312255
\(370\) 12.5109 + 2.44203i 0.650411 + 0.126955i
\(371\) −3.94047 4.54755i −0.204579 0.236097i
\(372\) 14.1655 + 22.0420i 0.734449 + 1.14283i
\(373\) −14.6693 + 2.10912i −0.759545 + 0.109206i −0.511196 0.859464i \(-0.670797\pi\)
−0.248350 + 0.968670i \(0.579888\pi\)
\(374\) −1.44407 0.928048i −0.0746711 0.0479882i
\(375\) −10.1146 + 33.5629i −0.522315 + 1.73318i
\(376\) 6.55551 7.56547i 0.338075 0.390159i
\(377\) −25.1829 3.62075i −1.29698 0.186478i
\(378\) −18.6929 + 8.53678i −0.961462 + 0.439085i
\(379\) −16.2047 4.75814i −0.832382 0.244409i −0.162342 0.986735i \(-0.551905\pi\)
−0.670040 + 0.742325i \(0.733723\pi\)
\(380\) 7.14536 + 6.84547i 0.366549 + 0.351165i
\(381\) 17.7112 + 38.7820i 0.907370 + 1.98686i
\(382\) 12.7553 + 1.83393i 0.652616 + 0.0938320i
\(383\) −3.28913 2.85005i −0.168067 0.145631i 0.566767 0.823878i \(-0.308194\pi\)
−0.734833 + 0.678248i \(0.762740\pi\)
\(384\) 1.30246 2.85198i 0.0664657 0.145540i
\(385\) 1.02998 0.591408i 0.0524924 0.0301409i
\(386\) 1.22346 + 8.50934i 0.0622724 + 0.433114i
\(387\) −18.2036 28.3254i −0.925341 1.43986i
\(388\) −13.0369 + 11.2965i −0.661848 + 0.573495i
\(389\) 7.24671 2.12783i 0.367423 0.107885i −0.0928089 0.995684i \(-0.529585\pi\)
0.460232 + 0.887799i \(0.347766\pi\)
\(390\) −9.26102 + 17.8599i −0.468950 + 0.904369i
\(391\) 23.8237 + 11.6571i 1.20482 + 0.589524i
\(392\) 4.07165i 0.205649i
\(393\) 11.5418 + 39.3076i 0.582205 + 1.98281i
\(394\) 5.39012 + 6.22053i 0.271551 + 0.313386i
\(395\) 18.3340 1.70687i 0.922483 0.0858818i
\(396\) −0.301710 2.09844i −0.0151615 0.105451i
\(397\) −4.68475 + 7.28961i −0.235121 + 0.365855i −0.938685 0.344777i \(-0.887955\pi\)
0.703564 + 0.710632i \(0.251591\pi\)
\(398\) 6.79101 + 3.10135i 0.340403 + 0.155457i
\(399\) 15.5484 17.9438i 0.778392 0.898312i
\(400\) −4.45498 + 2.27005i −0.222749 + 0.113503i
\(401\) 13.0882 + 28.6591i 0.653591 + 1.43117i 0.888375 + 0.459118i \(0.151834\pi\)
−0.234784 + 0.972048i \(0.575438\pi\)
\(402\) −1.49893 + 5.10490i −0.0747600 + 0.254609i
\(403\) 6.75621 23.0096i 0.336551 1.14619i
\(404\) 3.35170 + 7.33920i 0.166753 + 0.365139i
\(405\) 22.3324 31.2048i 1.10971 1.55058i
\(406\) −9.93542 + 11.4661i −0.493086 + 0.569052i
\(407\) 1.60952 + 0.735043i 0.0797809 + 0.0364347i
\(408\) 9.37441 14.5869i 0.464102 0.722157i
\(409\) −2.35111 16.3523i −0.116255 0.808571i −0.961620 0.274383i \(-0.911526\pi\)
0.845365 0.534188i \(-0.179383\pi\)
\(410\) 0.182030 + 1.95524i 0.00898982 + 0.0965625i
\(411\) −9.65453 11.1419i −0.476223 0.549591i
\(412\) −3.94676 13.4414i −0.194443 0.662212i
\(413\) 9.15877i 0.450673i
\(414\) 8.38754 + 31.6644i 0.412225 + 1.55622i
\(415\) 0.729207 1.40628i 0.0357954 0.0690314i
\(416\) −2.75337 + 0.808463i −0.134995 + 0.0396381i
\(417\) 42.9424 37.2098i 2.10290 1.82217i
\(418\) 0.742607 + 1.15552i 0.0363221 + 0.0565183i
\(419\) −3.93987 27.4024i −0.192475 1.33869i −0.825430 0.564505i \(-0.809067\pi\)
0.632954 0.774189i \(-0.281842\pi\)
\(420\) 5.97394 + 10.4040i 0.291498 + 0.507663i
\(421\) 0.893209 1.95586i 0.0435324 0.0953226i −0.886616 0.462506i \(-0.846950\pi\)
0.930149 + 0.367183i \(0.119678\pi\)
\(422\) 9.81485 + 8.50462i 0.477779 + 0.413998i
\(423\) 67.6779 + 9.73062i 3.29061 + 0.473119i
\(424\) 1.46073 + 3.19855i 0.0709393 + 0.155335i
\(425\) −26.1736 + 8.92013i −1.26961 + 0.432690i
\(426\) −24.7059 7.25430i −1.19700 0.351472i
\(427\) −8.02131 + 3.66321i −0.388179 + 0.177275i
\(428\) −1.35424 0.194710i −0.0654597 0.00941169i
\(429\) −1.82877 + 2.11052i −0.0882940 + 0.101897i
\(430\) −8.68081 + 6.79344i −0.418626 + 0.327609i
\(431\) 21.5740 + 13.8648i 1.03918 + 0.667843i 0.944785 0.327691i \(-0.106271\pi\)
0.0943993 + 0.995534i \(0.469907\pi\)
\(432\) 11.8866 1.70903i 0.571894 0.0822259i
\(433\) −4.89885 7.62275i −0.235424 0.366326i 0.703360 0.710834i \(-0.251682\pi\)
−0.938784 + 0.344508i \(0.888046\pi\)
\(434\) −9.36492 10.8077i −0.449531 0.518786i
\(435\) 11.9079 61.0059i 0.570939 2.92501i
\(436\) −13.9270 −0.666980
\(437\) −13.4657 16.4040i −0.644150 0.784711i
\(438\) 9.51578i 0.454681i
\(439\) −5.31634 + 1.56102i −0.253735 + 0.0745033i −0.406126 0.913817i \(-0.633121\pi\)
0.152392 + 0.988320i \(0.451303\pi\)
\(440\) −0.674874 + 0.162031i −0.0321733 + 0.00772451i
\(441\) −23.3954 + 15.0353i −1.11406 + 0.715966i
\(442\) −15.7085 + 2.25854i −0.747176 + 0.107428i
\(443\) 1.53783 2.39291i 0.0730644 0.113690i −0.802799 0.596250i \(-0.796657\pi\)
0.875863 + 0.482560i \(0.160293\pi\)
\(444\) −7.42483 + 16.2581i −0.352367 + 0.771576i
\(445\) −19.2442 + 7.65136i −0.912261 + 0.362709i
\(446\) 0.0280407 0.195027i 0.00132777 0.00923482i
\(447\) 18.8770 8.62084i 0.892852 0.407752i
\(448\) −0.482113 + 1.64193i −0.0227777 + 0.0775737i
\(449\) 27.7520 + 8.14873i 1.30970 + 0.384562i 0.860765 0.509003i \(-0.169986\pi\)
0.448934 + 0.893565i \(0.351804\pi\)
\(450\) −29.4943 17.2154i −1.39038 0.811541i
\(451\) −0.0387924 + 0.269807i −0.00182666 + 0.0127047i
\(452\) −14.3020 12.3927i −0.672708 0.582905i
\(453\) −43.1661 19.7133i −2.02812 0.926213i
\(454\) −5.86953 3.77212i −0.275471 0.177034i
\(455\) 3.61592 10.3680i 0.169517 0.486058i
\(456\) −11.6722 + 7.50124i −0.546599 + 0.351278i
\(457\) 20.6860 17.9245i 0.967648 0.838472i −0.0192500 0.999815i \(-0.506128\pi\)
0.986898 + 0.161343i \(0.0515824\pi\)
\(458\) 1.23081 + 4.19176i 0.0575120 + 0.195868i
\(459\) 66.4133 3.09991
\(460\) 10.0671 3.69502i 0.469382 0.172281i
\(461\) −13.1665 −0.613227 −0.306613 0.951834i \(-0.599196\pi\)
−0.306613 + 0.951834i \(0.599196\pi\)
\(462\) 0.469177 + 1.59787i 0.0218281 + 0.0743396i
\(463\) −9.94827 + 8.62022i −0.462335 + 0.400616i −0.854641 0.519219i \(-0.826223\pi\)
0.392306 + 0.919835i \(0.371677\pi\)
\(464\) 7.45852 4.79330i 0.346253 0.222523i
\(465\) 55.3202 + 19.2934i 2.56541 + 0.894710i
\(466\) −10.1481 6.52180i −0.470103 0.302117i
\(467\) 34.6549 + 15.8264i 1.60364 + 0.732356i 0.997990 0.0633773i \(-0.0201871\pi\)
0.605647 + 0.795734i \(0.292914\pi\)
\(468\) −14.8127 12.8352i −0.684716 0.593310i
\(469\) 0.413263 2.87430i 0.0190827 0.132723i
\(470\) 1.11805 22.3563i 0.0515718 1.03122i
\(471\) −63.0158 18.5031i −2.90361 0.852578i
\(472\) 1.50786 5.13532i 0.0694051 0.236372i
\(473\) −1.39184 + 0.635632i −0.0639968 + 0.0292264i
\(474\) −3.67432 + 25.5555i −0.168767 + 1.17380i
\(475\) 22.0161 + 2.20759i 1.01017 + 0.101291i
\(476\) −3.93141 + 8.60858i −0.180196 + 0.394574i
\(477\) −12.9846 + 20.2044i −0.594524 + 0.925098i
\(478\) −23.7314 + 3.41207i −1.08545 + 0.156064i
\(479\) −18.6979 + 12.0164i −0.854328 + 0.549043i −0.892922 0.450212i \(-0.851349\pi\)
0.0385938 + 0.999255i \(0.487712\pi\)
\(480\) −1.63671 6.81705i −0.0747051 0.311154i
\(481\) 15.6960 4.60875i 0.715675 0.210141i
\(482\) 19.7447i 0.899347i
\(483\) −10.0614 23.6823i −0.457808 1.07758i
\(484\) 10.9037 0.495621
\(485\) −7.38966 + 37.8583i −0.335547 + 1.71906i
\(486\) 11.6422 + 13.4359i 0.528103 + 0.609463i
\(487\) −11.0194 17.1466i −0.499338 0.776984i 0.496509 0.868032i \(-0.334615\pi\)
−0.995847 + 0.0910472i \(0.970979\pi\)
\(488\) 5.10064 0.733362i 0.230895 0.0331977i
\(489\) −5.96239 3.83179i −0.269628 0.173280i
\(490\) 5.61105 + 7.16992i 0.253481 + 0.323904i
\(491\) 5.40287 6.23524i 0.243828 0.281392i −0.620624 0.784109i \(-0.713120\pi\)
0.864451 + 0.502716i \(0.167666\pi\)
\(492\) −2.72538 0.391851i −0.122870 0.0176660i
\(493\) 44.6011 20.3686i 2.00873 0.917357i
\(494\) 12.1845 + 3.57769i 0.548207 + 0.160968i
\(495\) −3.42311 3.27944i −0.153857 0.147400i
\(496\) 3.47157 + 7.60167i 0.155878 + 0.341325i
\(497\) 13.9106 + 2.00004i 0.623976 + 0.0897142i
\(498\) 1.67863 + 1.45454i 0.0752212 + 0.0651795i
\(499\) 2.26859 4.96751i 0.101556 0.222376i −0.852033 0.523488i \(-0.824630\pi\)
0.953589 + 0.301112i \(0.0973577\pi\)
\(500\) −4.71664 + 10.1367i −0.210934 + 0.453328i
\(501\) 3.74081 + 26.0179i 0.167127 + 1.16240i
\(502\) 12.3987 + 19.2927i 0.553380 + 0.861076i
\(503\) 20.8418 18.0595i 0.929291 0.805235i −0.0518251 0.998656i \(-0.516504\pi\)
0.981116 + 0.193421i \(0.0619584\pi\)
\(504\) −11.2147 + 3.29292i −0.499540 + 0.146678i
\(505\) 16.0161 + 8.30496i 0.712708 + 0.369566i
\(506\) 1.47855 0.172498i 0.0657295 0.00766848i
\(507\) 14.9408i 0.663545i
\(508\) 3.83108 + 13.0474i 0.169977 + 0.578887i
\(509\) 7.56688 + 8.73264i 0.335396 + 0.387068i 0.898247 0.439491i \(-0.144841\pi\)
−0.562851 + 0.826558i \(0.690296\pi\)
\(510\) −3.59409 38.6052i −0.159149 1.70947i
\(511\) 0.739137 + 5.14081i 0.0326975 + 0.227416i
\(512\) 0.540641 0.841254i 0.0238932 0.0371785i
\(513\) −48.3403 22.0763i −2.13428 0.974692i
\(514\) −1.16636 + 1.34605i −0.0514458 + 0.0593716i
\(515\) −25.4733 18.2306i −1.12249 0.803335i
\(516\) −6.42065 14.0593i −0.282653 0.618925i
\(517\) 0.875391 2.98131i 0.0384996 0.131118i
\(518\) 2.74835 9.36002i 0.120756 0.411256i
\(519\) 7.73417 + 16.9355i 0.339492 + 0.743385i
\(520\) −3.73439 + 5.21801i −0.163764 + 0.228825i
\(521\) −20.4164 + 23.5618i −0.894460 + 1.03226i 0.104827 + 0.994491i \(0.466571\pi\)
−0.999286 + 0.0377712i \(0.987974\pi\)
\(522\) 55.0838 + 25.1559i 2.41095 + 1.10104i
\(523\) 0.176307 0.274339i 0.00770937 0.0119960i −0.837377 0.546625i \(-0.815912\pi\)
0.845087 + 0.534629i \(0.179549\pi\)
\(524\) 1.85953 + 12.9333i 0.0812341 + 0.564996i
\(525\) 24.8573 + 10.0882i 1.08486 + 0.440287i
\(526\) −3.27928 3.78449i −0.142983 0.165012i
\(527\) 13.0207 + 44.3445i 0.567191 + 1.93168i
\(528\) 0.973168i 0.0423517i
\(529\) −22.3823 + 5.29463i −0.973143 + 0.230201i
\(530\) 6.98011 + 3.61945i 0.303196 + 0.157219i
\(531\) 35.0752 10.2990i 1.52213 0.446938i
\(532\) 5.72312 4.95911i 0.248129 0.215005i
\(533\) 1.36245 + 2.12002i 0.0590143 + 0.0918281i
\(534\) −4.13251 28.7423i −0.178831 1.24380i
\(535\) −2.65306 + 1.52338i −0.114702 + 0.0658613i
\(536\) −0.704931 + 1.54358i −0.0304484 + 0.0666726i
\(537\) −11.1337 9.64743i −0.480456 0.416317i
\(538\) −9.80269 1.40941i −0.422624 0.0607641i
\(539\) 0.525000 + 1.14959i 0.0226134 + 0.0495164i
\(540\) 18.5764 19.3902i 0.799399 0.834419i
\(541\) 28.1698 + 8.27140i 1.21111 + 0.355615i 0.824093 0.566455i \(-0.191686\pi\)
0.387022 + 0.922070i \(0.373504\pi\)
\(542\) 18.3179 8.36551i 0.786822 0.359329i
\(543\) −24.6599 3.54556i −1.05826 0.152155i
\(544\) 3.62162 4.17958i 0.155276 0.179198i
\(545\) −24.5245 + 19.1924i −1.05051 + 0.822113i
\(546\) 12.9522 + 8.32385i 0.554301 + 0.356228i
\(547\) 4.78079 0.687374i 0.204412 0.0293900i −0.0393482 0.999226i \(-0.512528\pi\)
0.243760 + 0.969836i \(0.421619\pi\)
\(548\) −2.54220 3.95575i −0.108598 0.168981i
\(549\) 23.0489 + 26.5998i 0.983702 + 1.13525i
\(550\) −0.965120 + 1.21535i −0.0411528 + 0.0518229i
\(551\) −39.2346 −1.67145
\(552\) 1.74244 + 14.9351i 0.0741632 + 0.635681i
\(553\) 14.0915i 0.599232i
\(554\) 7.29579 2.14224i 0.309968 0.0910149i
\(555\) 9.33028 + 38.8615i 0.396048 + 1.64958i
\(556\) 15.2459 9.79797i 0.646572 0.415526i
\(557\) 4.32690 0.622114i 0.183337 0.0263598i −0.0500349 0.998747i \(-0.515933\pi\)
0.233372 + 0.972388i \(0.425024\pi\)
\(558\) −30.8592 + 48.0179i −1.30637 + 2.03276i
\(559\) −5.87653 + 12.8678i −0.248551 + 0.544250i
\(560\) 1.41373 + 3.55572i 0.0597410 + 0.150256i
\(561\) 0.765936 5.32720i 0.0323378 0.224915i
\(562\) 26.2700 11.9971i 1.10813 0.506068i
\(563\) 1.99325 6.78837i 0.0840053 0.286096i −0.906767 0.421632i \(-0.861457\pi\)
0.990772 + 0.135536i \(0.0432757\pi\)
\(564\) 30.1148 + 8.84251i 1.26806 + 0.372337i
\(565\) −42.2630 2.11359i −1.77802 0.0889195i
\(566\) 0.442695 3.07901i 0.0186078 0.129420i
\(567\) −22.1936 19.2309i −0.932046 0.807622i
\(568\) −7.47039 3.41161i −0.313451 0.143148i
\(569\) 5.25212 + 3.37534i 0.220181 + 0.141501i 0.646082 0.763268i \(-0.276407\pi\)
−0.425901 + 0.904770i \(0.640043\pi\)
\(570\) −10.2166 + 29.2943i −0.427928 + 1.22701i
\(571\) 12.9792 8.34125i 0.543164 0.349070i −0.240111 0.970745i \(-0.577184\pi\)
0.783275 + 0.621675i \(0.213548\pi\)
\(572\) −0.673144 + 0.583283i −0.0281456 + 0.0243883i
\(573\) 11.3828 + 38.7664i 0.475525 + 1.61949i
\(574\) 1.50280 0.0627256
\(575\) 12.6355 20.3800i 0.526938 0.849904i
\(576\) 6.83018 0.284591
\(577\) −2.02733 6.90445i −0.0843988 0.287436i 0.906469 0.422272i \(-0.138767\pi\)
−0.990868 + 0.134836i \(0.956949\pi\)
\(578\) 10.2669 8.89628i 0.427045 0.370037i
\(579\) −22.6750 + 14.5723i −0.942339 + 0.605605i
\(580\) 6.52845 18.7191i 0.271079 0.777269i
\(581\) −1.01985 0.655415i −0.0423103 0.0271912i
\(582\) −49.1975 22.4677i −2.03930 0.931318i
\(583\) 0.824846 + 0.714733i 0.0341616 + 0.0296012i
\(584\) 0.431930 3.00414i 0.0178734 0.124312i
\(585\) −43.7722 2.18906i −1.80976 0.0905067i
\(586\) 9.47632 + 2.78250i 0.391463 + 0.114944i
\(587\) −8.68032 + 29.5624i −0.358275 + 1.22017i 0.561417 + 0.827533i \(0.310256\pi\)
−0.919692 + 0.392640i \(0.871562\pi\)
\(588\) −11.6123 + 5.30314i −0.478882 + 0.218698i
\(589\) 5.26304 36.6053i 0.216860 1.50829i
\(590\) −4.42161 11.1209i −0.182035 0.457841i
\(591\) −10.7204 + 23.4745i −0.440980 + 0.965612i
\(592\) −3.08200 + 4.79568i −0.126669 + 0.197101i
\(593\) 1.27477 0.183285i 0.0523487 0.00752661i −0.116091 0.993239i \(-0.537036\pi\)
0.168439 + 0.985712i \(0.446127\pi\)
\(594\) 3.13570 2.01519i 0.128659 0.0826843i
\(595\) 4.94033 + 20.5770i 0.202534 + 0.843573i
\(596\) 6.35080 1.86476i 0.260139 0.0763837i
\(597\) 23.4072i 0.957993i
\(598\) 9.28632 10.1568i 0.379746 0.415344i
\(599\) 31.1765 1.27384 0.636918 0.770931i \(-0.280209\pi\)
0.636918 + 0.770931i \(0.280209\pi\)
\(600\) −12.2766 9.74888i −0.501188 0.397996i
\(601\) −30.5586 35.2665i −1.24651 1.43855i −0.855207 0.518287i \(-0.826570\pi\)
−0.391303 0.920262i \(-0.627976\pi\)
\(602\) 4.56075 + 7.09667i 0.185882 + 0.289239i
\(603\) −11.4724 + 1.64948i −0.467192 + 0.0671720i
\(604\) −12.7328 8.18287i −0.518090 0.332956i
\(605\) 19.2007 15.0261i 0.780618 0.610897i
\(606\) −16.5658 + 19.1180i −0.672940 + 0.776614i
\(607\) 13.1523 + 1.89101i 0.533834 + 0.0767538i 0.403960 0.914777i \(-0.367634\pi\)
0.129874 + 0.991530i \(0.458543\pi\)
\(608\) −4.02540 + 1.83834i −0.163251 + 0.0745545i
\(609\) −45.6415 13.4015i −1.84949 0.543058i
\(610\) 7.97129 8.32049i 0.322748 0.336887i
\(611\) −11.9334 26.1304i −0.482772 1.05712i
\(612\) 37.3890 + 5.37572i 1.51136 + 0.217301i
\(613\) 28.5393 + 24.7294i 1.15269 + 0.998813i 0.999944 + 0.0105473i \(0.00335738\pi\)
0.152747 + 0.988265i \(0.451188\pi\)
\(614\) 2.54768 5.57863i 0.102816 0.225135i
\(615\) −5.33923 + 3.06576i −0.215298 + 0.123623i
\(616\) 0.0755908 + 0.525746i 0.00304564 + 0.0211829i
\(617\) 5.74990 + 8.94702i 0.231482 + 0.360193i 0.937491 0.348010i \(-0.113142\pi\)
−0.706009 + 0.708203i \(0.749506\pi\)
\(618\) 33.1942 28.7630i 1.33527 1.15702i
\(619\) −15.7414 + 4.62210i −0.632701 + 0.185778i −0.582330 0.812953i \(-0.697859\pi\)
−0.0503714 + 0.998731i \(0.516041\pi\)
\(620\) 16.5889 + 8.60198i 0.666227 + 0.345464i
\(621\) −44.5152 + 36.5414i −1.78633 + 1.46636i
\(622\) 22.2136i 0.890683i
\(623\) 4.46511 + 15.2068i 0.178891 + 0.609246i
\(624\) −5.89186 6.79957i −0.235863 0.272201i
\(625\) 5.66350 + 24.3500i 0.226540 + 0.974002i
\(626\) −0.384463 2.67400i −0.0153662 0.106874i
\(627\) −2.32831 + 3.62291i −0.0929836 + 0.144685i
\(628\) −19.0543 8.70180i −0.760348 0.347239i
\(629\) −20.6456 + 23.8262i −0.823192 + 0.950015i
\(630\) −15.2104 + 21.2533i −0.605997 + 0.846751i
\(631\) 12.3285 + 26.9957i 0.490791 + 1.07468i 0.979354 + 0.202154i \(0.0647941\pi\)
−0.488563 + 0.872529i \(0.662479\pi\)
\(632\) −2.31997 + 7.90111i −0.0922836 + 0.314289i
\(633\) −11.4716 + 39.0687i −0.455955 + 1.55284i
\(634\) −9.42350 20.6346i −0.374255 0.819504i
\(635\) 24.7267 + 17.6962i 0.981249 + 0.702253i
\(636\) −7.21967 + 8.33194i −0.286279 + 0.330383i
\(637\) 10.6282 + 4.85373i 0.421104 + 0.192312i
\(638\) 1.48779 2.31505i 0.0589022 0.0916536i
\(639\) −7.98289 55.5223i −0.315798 2.19643i
\(640\) −0.207278 2.22644i −0.00819339 0.0880078i
\(641\) 20.3803 + 23.5201i 0.804973 + 0.928988i 0.998643 0.0520783i \(-0.0165846\pi\)
−0.193670 + 0.981067i \(0.562039\pi\)
\(642\) −1.20853 4.11587i −0.0476968 0.162440i
\(643\) 33.3763i 1.31623i −0.752915 0.658117i \(-0.771353\pi\)
0.752915 0.658117i \(-0.228647\pi\)
\(644\) −2.10142 7.93323i −0.0828077 0.312613i
\(645\) −30.6811 15.9093i −1.20807 0.626429i
\(646\) −23.4822 + 6.89500i −0.923896 + 0.271280i
\(647\) 8.42598 7.30115i 0.331259 0.287038i −0.473311 0.880896i \(-0.656941\pi\)
0.804570 + 0.593858i \(0.202396\pi\)
\(648\) 9.27786 + 14.4366i 0.364469 + 0.567125i
\(649\) −0.236419 1.64433i −0.00928027 0.0645457i
\(650\) 0.614799 + 14.3349i 0.0241144 + 0.562260i
\(651\) 18.6259 40.7851i 0.730008 1.59849i
\(652\) −1.70840 1.48034i −0.0669062 0.0579746i
\(653\) −21.6793 3.11701i −0.848377 0.121978i −0.295604 0.955310i \(-0.595521\pi\)
−0.552772 + 0.833332i \(0.686430\pi\)
\(654\) −18.1392 39.7194i −0.709300 1.55315i
\(655\) 21.0977 + 20.2122i 0.824355 + 0.789757i
\(656\) −0.842619 0.247415i −0.0328987 0.00965994i
\(657\) 18.8565 8.61148i 0.735663 0.335966i
\(658\) −16.9561 2.43792i −0.661018 0.0950400i
\(659\) −22.0321 + 25.4265i −0.858251 + 0.990474i 0.141749 + 0.989903i \(0.454727\pi\)
−1.00000 0.000571471i \(0.999818\pi\)
\(660\) −1.34110 1.71369i −0.0522023 0.0667052i
\(661\) −7.41002 4.76213i −0.288216 0.185225i 0.388541 0.921431i \(-0.372979\pi\)
−0.676758 + 0.736206i \(0.736615\pi\)
\(662\) 2.58816 0.372121i 0.100592 0.0144629i
\(663\) −26.9009 41.8586i −1.04474 1.62565i
\(664\) 0.463922 + 0.535395i 0.0180037 + 0.0207773i
\(665\) 3.24401 16.6196i 0.125797 0.644480i
\(666\) −38.9364 −1.50876
\(667\) −18.6879 + 38.1927i −0.723599 + 1.47883i
\(668\) 8.38369i 0.324375i
\(669\) 0.592736 0.174043i 0.0229165 0.00672889i
\(670\) 0.885839 + 3.68960i 0.0342229 + 0.142542i
\(671\) 1.34556 0.864737i 0.0519447 0.0333828i
\(672\) −5.31067 + 0.763559i −0.204864 + 0.0294549i
\(673\) 17.3056 26.9280i 0.667082 1.03800i −0.328537 0.944491i \(-0.606555\pi\)
0.995618 0.0935085i \(-0.0298082\pi\)
\(674\) 1.84312 4.03586i 0.0709942 0.155456i
\(675\) 5.99068 59.7445i 0.230581 2.29957i
\(676\) 0.678178 4.71683i 0.0260838 0.181417i
\(677\) 16.3642 7.47329i 0.628928 0.287222i −0.0753378 0.997158i \(-0.524004\pi\)
0.704266 + 0.709936i \(0.251276\pi\)
\(678\) 16.7161 56.9299i 0.641980 2.18638i
\(679\) 28.3237 + 8.31658i 1.08696 + 0.319161i
\(680\) 0.617671 12.3508i 0.0236866 0.473633i
\(681\) 3.11320 21.6528i 0.119298 0.829738i
\(682\) 1.96033 + 1.69863i 0.0750648 + 0.0650440i
\(683\) 0.485409 + 0.221679i 0.0185737 + 0.00848231i 0.424680 0.905343i \(-0.360387\pi\)
−0.406107 + 0.913826i \(0.633114\pi\)
\(684\) −25.4274 16.3412i −0.972242 0.624822i
\(685\) −9.92799 3.46247i −0.379329 0.132294i
\(686\) 15.9386 10.2431i 0.608539 0.391085i
\(687\) −10.3517 + 8.96982i −0.394943 + 0.342220i
\(688\) −1.38884 4.72996i −0.0529491 0.180328i
\(689\) 10.0904 0.384416
\(690\) 23.6501 + 23.8986i 0.900344 + 0.909805i
\(691\) −21.7415 −0.827084 −0.413542 0.910485i \(-0.635709\pi\)
−0.413542 + 0.910485i \(0.635709\pi\)
\(692\) 1.67297 + 5.69761i 0.0635967 + 0.216590i
\(693\) −2.74176 + 2.37575i −0.104151 + 0.0902472i
\(694\) 24.8452 15.9671i 0.943112 0.606101i
\(695\) 13.3448 38.2637i 0.506196 1.45142i
\(696\) 23.3848 + 15.0285i 0.886398 + 0.569653i
\(697\) −4.41783 2.01756i −0.167337 0.0764204i
\(698\) 20.5752 + 17.8285i 0.778782 + 0.674819i
\(699\) 5.38257 37.4366i 0.203588 1.41598i
\(700\) 7.38955 + 4.31317i 0.279299 + 0.163022i
\(701\) 13.8025 + 4.05279i 0.521315 + 0.153072i 0.531795 0.846873i \(-0.321518\pi\)
−0.0104800 + 0.999945i \(0.503336\pi\)
\(702\) 9.70869 33.0647i 0.366431 1.24795i
\(703\) 22.9473 10.4797i 0.865475 0.395249i
\(704\) 0.0441730 0.307230i 0.00166483 0.0115792i
\(705\) 65.2160 25.9295i 2.45618 0.976560i
\(706\) 9.50351 20.8098i 0.357669 0.783187i
\(707\) 7.46454 11.6151i 0.280733 0.436829i
\(708\) 16.6097 2.38812i 0.624233 0.0897511i
\(709\) 5.81078 3.73436i 0.218229 0.140247i −0.426960 0.904271i \(-0.640415\pi\)
0.645188 + 0.764024i \(0.276779\pi\)
\(710\) −17.8564 + 4.28714i −0.670138 + 0.160894i
\(711\) −53.9660 + 15.8458i −2.02388 + 0.594266i
\(712\) 9.26154i 0.347091i
\(713\) −33.1263 22.5588i −1.24059 0.844835i
\(714\) −29.6720 −1.11045
\(715\) −0.381556 + 1.95477i −0.0142694 + 0.0731042i
\(716\) −3.07702 3.55107i −0.114994 0.132710i
\(717\) −40.6403 63.2376i −1.51774 2.36165i
\(718\) −7.36006 + 1.05822i −0.274675 + 0.0394923i
\(719\) 41.3227 + 26.5565i 1.54108 + 0.990390i 0.987505 + 0.157588i \(0.0503719\pi\)
0.553572 + 0.832802i \(0.313265\pi\)
\(720\) 12.0275 9.41253i 0.448240 0.350784i
\(721\) −15.6987 + 18.1173i −0.584651 + 0.674723i
\(722\) 0.577389 + 0.0830160i 0.0214882 + 0.00308954i
\(723\) −56.3116 + 25.7166i −2.09425 + 0.956412i
\(724\) −7.62423 2.23868i −0.283352 0.0831997i
\(725\) −14.3002 41.9599i −0.531097 1.55835i
\(726\) 14.2015 + 31.0970i 0.527068 + 1.15412i
\(727\) −36.9982 5.31953i −1.37219 0.197291i −0.583513 0.812104i \(-0.698322\pi\)
−0.788673 + 0.614813i \(0.789231\pi\)
\(728\) 3.71118 + 3.21576i 0.137546 + 0.119184i
\(729\) −1.76868 + 3.87286i −0.0655066 + 0.143439i
\(730\) −3.37934 5.88534i −0.125075 0.217826i
\(731\) −3.87990 26.9853i −0.143503 0.998087i
\(732\) 8.73490 + 13.5918i 0.322851 + 0.502366i
\(733\) 9.14567 7.92477i 0.337803 0.292708i −0.469396 0.882988i \(-0.655528\pi\)
0.807199 + 0.590280i \(0.200983\pi\)
\(734\) −11.3819 + 3.34203i −0.420114 + 0.123357i
\(735\) −13.1403 + 25.3411i −0.484688 + 0.934721i
\(736\) −0.127829 + 4.79413i −0.00471185 + 0.176714i
\(737\) 0.526710i 0.0194016i
\(738\) −1.68989 5.75524i −0.0622058 0.211853i
\(739\) 1.02872 + 1.18720i 0.0378420 + 0.0436720i 0.774355 0.632751i \(-0.218074\pi\)
−0.736513 + 0.676423i \(0.763529\pi\)
\(740\) 1.18162 + 12.6921i 0.0434371 + 0.466572i
\(741\) 5.66627 + 39.4098i 0.208156 + 1.44775i
\(742\) 3.25318 5.06205i 0.119428 0.185834i
\(743\) 24.8085 + 11.3296i 0.910134 + 0.415644i 0.814761 0.579797i \(-0.196868\pi\)
0.0953731 + 0.995442i \(0.469596\pi\)
\(744\) −17.1583 + 19.8017i −0.629052 + 0.725965i
\(745\) 8.61357 12.0356i 0.315577 0.440951i
\(746\) −6.15649 13.4808i −0.225405 0.493569i
\(747\) −1.36322 + 4.64270i −0.0498776 + 0.169867i
\(748\) 0.483614 1.64704i 0.0176827 0.0602216i
\(749\) 0.972597 + 2.12969i 0.0355379 + 0.0778172i
\(750\) −35.0530 0.249117i −1.27995 0.00909646i
\(751\) 11.9351 13.7738i 0.435518 0.502615i −0.494984 0.868902i \(-0.664826\pi\)
0.930502 + 0.366288i \(0.119371\pi\)
\(752\) 9.10591 + 4.15853i 0.332058 + 0.151646i
\(753\) −38.8737 + 60.4887i −1.41664 + 2.20433i
\(754\) −3.62075 25.1829i −0.131860 0.917106i
\(755\) −33.6983 + 3.13726i −1.22641 + 0.114176i
\(756\) −13.4574 15.5307i −0.489441 0.564845i
\(757\) 6.92289 + 23.5772i 0.251617 + 0.856928i 0.984322 + 0.176382i \(0.0564394\pi\)
−0.732705 + 0.680546i \(0.761742\pi\)
\(758\) 16.8889i 0.613431i
\(759\) 2.41770 + 3.99212i 0.0877571 + 0.144905i
\(760\) −4.55510 + 8.78451i −0.165231 + 0.318648i
\(761\) −14.8972 + 4.37422i −0.540024 + 0.158565i −0.540359 0.841435i \(-0.681712\pi\)
0.000335081 1.00000i \(0.499893\pi\)
\(762\) −32.2213 + 27.9199i −1.16725 + 1.01143i
\(763\) 12.8848 + 20.0491i 0.466460 + 0.725826i
\(764\) 1.83393 + 12.7553i 0.0663493 + 0.461469i
\(765\) 73.2478 42.0586i 2.64828 1.52063i
\(766\) 1.80795 3.95885i 0.0653237 0.143039i
\(767\) −11.6072 10.0577i −0.419110 0.363161i
\(768\) 3.10340 + 0.446201i 0.111984 + 0.0161009i
\(769\) 21.4392 + 46.9453i 0.773117 + 1.69289i 0.719667 + 0.694319i \(0.244294\pi\)
0.0534500 + 0.998571i \(0.482978\pi\)
\(770\) 0.857629 + 0.821635i 0.0309068 + 0.0296097i
\(771\) −5.35803 1.57326i −0.192965 0.0566595i
\(772\) −7.81996 + 3.57126i −0.281447 + 0.128532i
\(773\) 28.1584 +