Properties

Label 230.2.j.a.9.6
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 9.6
Character \(\chi\) \(=\) 230.9
Dual form 230.2.j.a.179.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.281733 - 0.959493i) q^{2} +(2.36951 - 2.05319i) q^{3} +(-0.841254 + 0.540641i) q^{4} +(1.30136 + 1.81837i) q^{5} +(-2.63759 - 1.69508i) q^{6} +(-1.55660 - 0.710876i) q^{7} +(0.755750 + 0.654861i) q^{8} +(0.972037 - 6.76066i) q^{9} +O(q^{10})\) \(q+(-0.281733 - 0.959493i) q^{2} +(2.36951 - 2.05319i) q^{3} +(-0.841254 + 0.540641i) q^{4} +(1.30136 + 1.81837i) 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} +(1.37808 - 1.76094i) 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} +(6.81705 + 1.63671i) 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} +(-2.07786 - 0.826143i) q^{20} +(-5.14795 + 1.51157i) q^{21} +0.310390i q^{22} +(-0.555747 - 4.76352i) q^{23} +3.13531 q^{24} +(-1.61294 + 4.73270i) 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} +(-0.350174 - 7.00202i) 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} +(-0.733060 - 3.75558i) 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} +(-0.207278 + 2.22644i) 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} +(4.99541 + 0.214245i) 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} +(-0.228555 - 0.655340i) 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} +(-6.61973 + 2.30869i) 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} +(5.56456 + 3.19515i) 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} +(5.89528 + 14.5259i) 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} +(2.19465 - 0.428379i) 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} +(-12.3508 + 0.617671i) 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} +(-10.5656 - 11.0284i) q^{90} -4.91060 q^{91} +(3.04288 + 3.70687i) q^{92} +26.2014i q^{93} +(-9.60505 + 2.82030i) q^{94} +(-9.19515 - 3.65593i) 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 \(-0.367078\pi\)
0.962483 0.271341i \(-0.0874670\pi\)
\(4\) −0.841254 + 0.540641i −0.420627 + 0.270320i
\(5\) 1.30136 + 1.81837i 0.581985 + 0.813200i
\(6\) −2.63759 1.69508i −1.07679 0.692013i
\(7\) −1.55660 0.710876i −0.588340 0.268686i 0.0989224 0.995095i \(-0.468460\pi\)
−0.687262 + 0.726409i \(0.741188\pi\)
\(8\) 0.755750 + 0.654861i 0.267198 + 0.231528i
\(9\) 0.972037 6.76066i 0.324012 2.25355i
\(10\) 1.37808 1.76094i 0.435786 0.556857i
\(11\) −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 −0.0191239 0.999817i \(-0.506088\pi\)
0.743088 + 0.669194i \(0.233360\pi\)
\(14\) −0.243535 + 1.69382i −0.0650875 + 0.452694i
\(15\) 6.81705 + 1.63671i 1.76015 + 0.422596i
\(16\) 0.415415 0.909632i 0.103854 0.227408i
\(17\) −2.98994 + 4.65244i −0.725168 + 1.12838i 0.261431 + 0.965222i \(0.415805\pi\)
−0.986599 + 0.163161i \(0.947831\pi\)
\(18\) −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 \(0.487655\pi\)
\(20\) −2.07786 0.826143i −0.464623 0.184731i
\(21\) −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
\(25\) −1.61294 + 4.73270i −0.322587 + 0.946540i
\(26\) −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 \(0.374014\pi\)
\(30\) −0.350174 7.00202i −0.0639328 1.27839i
\(31\) −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
\(35\) −0.733060 3.75558i −0.123910 0.634809i
\(36\) 2.83736 + 6.21295i 0.472894 + 1.03549i
\(37\) 5.64261 + 0.811285i 0.927640 + 0.133374i 0.589543 0.807737i \(-0.299308\pi\)
0.338097 + 0.941111i \(0.390217\pi\)
\(38\) 3.34442 + 2.89796i 0.542537 + 0.470111i
\(39\) 3.73754 8.18407i 0.598485 1.31050i
\(40\) −0.207278 + 2.22644i −0.0327735 + 0.352031i
\(41\) −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 −0.890911 0.454178i \(-0.849933\pi\)
0.322765 + 0.946479i \(0.395388\pi\)
\(44\) 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 \(-0.739476\pi\)
0.683347 0.730094i \(-0.260524\pi\)
\(48\) −0.883320 3.00831i −0.127496 0.434212i
\(49\) −2.66636 3.07715i −0.380909 0.439592i
\(50\) 4.99541 + 0.214245i 0.706457 + 0.0302988i
\(51\) 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 0.622796 0.782384i \(-0.285997\pi\)
−0.183441 + 0.983031i \(0.558724\pi\)
\(54\) −7.86411 + 9.07566i −1.07017 + 1.23504i
\(55\) −0.228555 0.655340i −0.0308184 0.0883661i
\(56\) −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 \(0.750364\pi\)
\(60\) −6.61973 + 2.30869i −0.854604 + 0.298050i
\(61\) −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
\(65\) 5.56456 + 3.19515i 0.690199 + 0.396309i
\(66\) 0.637290 + 0.735472i 0.0784449 + 0.0905303i
\(67\) 0.478081 + 1.62819i 0.0584069 + 0.198916i 0.983528 0.180757i \(-0.0578548\pi\)
−0.925121 + 0.379673i \(0.876037\pi\)
\(68\) 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 0.731854 0.681462i \(-0.238655\pi\)
−0.923902 + 0.382628i \(0.875019\pi\)
\(74\) −0.811285 5.64261i −0.0943100 0.655940i
\(75\) 5.89528 + 14.5259i 0.680728 + 1.67730i
\(76\) 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 \(-0.289675\pi\)
\(80\) 2.19465 0.428379i 0.245369 0.0478942i
\(81\) −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 0.180692 0.983540i \(-0.442166\pi\)
−0.103723 + 0.994606i \(0.533076\pi\)
\(84\) 3.51351 4.05481i 0.383356 0.442416i
\(85\) −12.3508 + 0.617671i −1.33964 + 0.0669959i
\(86\) 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 \(0.609410\pi\)
\(90\) −10.5656 11.0284i −1.11371 1.16250i
\(91\) −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
\(95\) −9.19515 3.65593i −0.943403 0.375091i
\(96\) −2.63759 + 1.69508i −0.269198 + 0.173003i
\(97\) −17.0747 + 2.45497i −1.73367 + 0.249265i −0.935541 0.353218i \(-0.885087\pi\)
−0.798132 + 0.602482i \(0.794178\pi\)
\(98\) −2.20130 + 3.42529i −0.222365 + 0.346006i
\(99\) −0.880687 + 1.92844i −0.0885124 + 0.193815i
\(100\) −1.20180 4.85342i −0.120180 0.485342i
\(101\) 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 \(-0.666627\pi\)
0.888779 0.458336i \(-0.151554\pi\)
\(104\) 2.75337 + 0.808463i 0.269990 + 0.0792763i
\(105\) −9.44792 7.39377i −0.922023 0.721558i
\(106\) 0.500424 3.48052i 0.0486054 0.338058i
\(107\) −1.03399 0.895959i −0.0999598 0.0866156i 0.603447 0.797403i \(-0.293793\pi\)
−0.703407 + 0.710787i \(0.748339\pi\)
\(108\) 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 \(0.449405\pi\)
\(110\) −0.564403 + 0.403928i −0.0538137 + 0.0385130i
\(111\) 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 \(-0.741529\pi\)
0.186489 0.982457i \(-0.440289\pi\)
\(114\) 13.8747 1.29949
\(115\) 7.93862 7.20960i 0.740280 0.672299i
\(116\) −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
\(120\) 4.08016 + 5.70116i 0.372466 + 0.520442i
\(121\) −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
\(125\) −10.7048 + 3.22602i −0.957467 + 0.288544i
\(126\) 11.2147 + 3.29292i 0.999081 + 0.293357i
\(127\) −3.83108 + 13.0474i −0.339953 + 1.15777i 0.595214 + 0.803567i \(0.297067\pi\)
−0.935167 + 0.354207i \(0.884751\pi\)
\(128\) 0.909632 0.415415i 0.0804009 0.0367178i
\(129\) −2.19962 + 15.2987i −0.193666 + 1.34697i
\(130\) 1.49800 6.23933i 0.131384 0.547226i
\(131\) 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
\(135\) 9.92100 24.9526i 0.853864 2.14758i
\(136\) −5.30635 + 1.55809i −0.455016 + 0.133605i
\(137\) 4.70220i 0.401736i −0.979618 0.200868i \(-0.935624\pi\)
0.979618 0.200868i \(-0.0643763\pi\)
\(138\) −6.60871 + 13.5063i −0.562570 + 1.14973i
\(139\) −18.1229 −1.53716 −0.768581 0.639752i \(-0.779037\pi\)
−0.768581 + 0.639752i \(0.779037\pi\)
\(140\) 2.64711 + 2.76307i 0.223722 + 0.233522i
\(141\) −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
\(145\) 0.990213 + 19.8001i 0.0822327 + 1.64431i
\(146\) −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 \(0.678304\pi\)
\(150\) 12.2766 9.74888i 1.00238 0.795993i
\(151\) 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
\(155\) −18.6061 1.73220i −1.49448 0.139133i
\(156\) 1.28042 + 8.90555i 0.102516 + 0.713014i
\(157\) −11.3249 17.6219i −0.903828 1.40638i −0.913681 0.406432i \(-0.866773\pi\)
0.00985312 0.999951i \(-0.496864\pi\)
\(158\) −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 0.930784 0.365570i \(-0.119126\pi\)
−0.980667 + 0.195683i \(0.937308\pi\)
\(164\) 0.575093 + 0.663693i 0.0449073 + 0.0518257i
\(165\) −1.88710 1.08357i −0.146911 0.0843557i
\(166\) −0.100820 0.701218i −0.00782514 0.0544251i
\(167\) −4.53256 + 7.05281i −0.350740 + 0.545763i −0.971136 0.238526i \(-0.923336\pi\)
0.620396 + 0.784289i \(0.286972\pi\)
\(168\) −4.88043 2.22882i −0.376533 0.171957i
\(169\) −3.12063 + 3.60140i −0.240049 + 0.277031i
\(170\) 4.07229 + 11.6765i 0.312330 + 0.895549i
\(171\) 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 −0.998324 0.0578702i \(-0.981569\pi\)
0.871131 + 0.491051i \(0.163387\pi\)
\(174\) −11.5475 25.2855i −0.875415 1.91689i
\(175\) 5.87506 6.22033i 0.444113 0.470213i
\(176\) −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 \(0.898359\pi\)
\(180\) −7.60502 + 13.2446i −0.566845 + 0.987198i
\(181\) 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
\(190\) −0.917269 + 9.85268i −0.0665457 + 0.714788i
\(191\) 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 −0.170926 0.985284i \(-0.554676\pi\)
−0.441589 + 0.897217i \(0.645585\pi\)
\(194\) 7.16603 + 15.6914i 0.514491 + 1.12658i
\(195\) 19.7455 3.85418i 1.41401 0.276003i
\(196\) 3.90672 + 1.14712i 0.279051 + 0.0819369i
\(197\) −7.48713 + 3.41926i −0.533436 + 0.243612i −0.663874 0.747844i \(-0.731089\pi\)
0.130438 + 0.991456i \(0.458362\pi\)
\(198\) 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 \(0.142028\pi\)
\(200\) −4.31823 + 2.52049i −0.305345 + 0.178225i
\(201\) 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
\(205\) 1.41798 1.35847i 0.0990360 0.0948796i
\(206\) −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
\(210\) −4.43249 + 11.1483i −0.305871 + 0.769305i
\(211\) 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
\(215\) −10.7184 2.57339i −0.730991 0.175504i
\(216\) 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
\(220\) 0.546577 + 0.427741i 0.0368502 + 0.0288383i
\(221\) −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 0.421407 0.906872i \(-0.361536\pi\)
−0.409405 + 0.912353i \(0.634264\pi\)
\(224\) 1.43959 + 0.925168i 0.0961866 + 0.0618154i
\(225\) 30.4284 + 15.5049i 2.02856 + 1.03366i
\(226\) −15.9201 + 10.2312i −1.05899 + 0.680570i
\(227\) 5.27296 4.56905i 0.349979 0.303258i −0.462075 0.886841i \(-0.652895\pi\)
0.812054 + 0.583583i \(0.198350\pi\)
\(228\) −3.90896 13.3127i −0.258877 0.881655i
\(229\) 4.36872 0.288693 0.144347 0.989527i \(-0.453892\pi\)
0.144347 + 0.989527i \(0.453892\pi\)
\(230\) −9.15413 5.58587i −0.603605 0.368321i
\(231\) 1.66533 0.109570
\(232\) 2.49783 + 8.50682i 0.163990 + 0.558500i
\(233\) 9.11668 7.89965i 0.597254 0.517523i −0.302942 0.953009i \(-0.597969\pi\)
0.900196 + 0.435486i \(0.143423\pi\)
\(234\) −16.4885 + 10.5965i −1.07789 + 0.692718i
\(235\) 18.2029 13.0273i 1.18742 0.849807i
\(236\) −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 \(0.762991\pi\)
\(240\) 4.32070 5.52109i 0.278900 0.356385i
\(241\) 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
\(245\) 2.12550 8.85290i 0.135793 0.565591i
\(246\) −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
\(250\) 6.11124 + 9.36231i 0.386509 + 0.592124i
\(251\) 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
\(255\) −27.9973 + 26.8223i −1.75326 + 1.67967i
\(256\) −0.654861 0.755750i −0.0409288 0.0472343i
\(257\) −0.962922 1.49834i −0.0600654 0.0934636i 0.809922 0.586538i \(-0.199509\pi\)
−0.869987 + 0.493074i \(0.835873\pi\)
\(258\) 15.2987 2.19962i 0.952454 0.136942i
\(259\) −8.20657 5.27405i −0.509932 0.327713i
\(260\) −6.40863 + 0.320499i −0.397447 + 0.0198765i
\(261\) 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 −0.269995 0.962862i \(-0.587022\pi\)
0.550873 + 0.834589i \(0.314295\pi\)
\(264\) −0.933748 0.274173i −0.0574682 0.0168742i
\(265\) 1.50631 + 7.71708i 0.0925321 + 0.474056i
\(266\) −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 \(0.233989\pi\)
\(270\) −26.7369 2.48917i −1.62716 0.151486i
\(271\) −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 \(0.0733605\pi\)
−0.973559 + 0.228434i \(0.926640\pi\)
\(278\) 5.10580 + 17.3888i 0.306226 + 1.04291i
\(279\) 37.3788 + 43.1374i 2.23781 + 2.58257i
\(280\) 1.90537 3.31833i 0.113868 0.198308i
\(281\) −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 0.497736 0.867329i \(-0.334165\pi\)
−0.329536 + 0.944143i \(0.606892\pi\)
\(284\) −5.37807 + 6.20663i −0.319130 + 0.368296i
\(285\) −29.2943 + 10.2166i −1.73525 + 0.605182i
\(286\) 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
\(290\) 18.7191 6.52845i 1.09922 0.383364i
\(291\) −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 −0.961456 0.274959i \(-0.911336\pi\)
0.649515 + 0.760349i \(0.274972\pi\)
\(294\) 1.81678 + 12.6360i 0.105957 + 0.736944i
\(295\) −5.95928 + 10.3785i −0.346963 + 0.604258i
\(296\) 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
\(305\) −11.4731 1.06812i −0.656945 0.0611606i
\(306\) 15.6917 34.3599i 0.897032 1.96423i
\(307\) 4.63490 + 4.01616i 0.264527 + 0.229214i 0.777018 0.629479i \(-0.216732\pi\)
−0.512490 + 0.858693i \(0.671277\pi\)
\(308\) −0.525746 0.0755908i −0.0299571 0.00430719i
\(309\) −18.2460 39.9531i −1.03798 2.27285i
\(310\) 3.57990 + 18.3404i 0.203325 + 1.04166i
\(311\) −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 0.217471 0.976067i \(-0.430219\pi\)
−0.0663278 + 0.997798i \(0.521128\pi\)
\(314\) −13.7175 + 15.8309i −0.774125 + 0.893387i
\(315\) −26.1028 + 1.30541i −1.47072 + 0.0735516i
\(316\) 6.92744 + 4.45200i 0.389699 + 0.250444i
\(317\) 22.4536 3.22835i 1.26112 0.181322i 0.520861 0.853642i \(-0.325611\pi\)
0.740261 + 0.672320i \(0.234702\pi\)
\(318\) −5.96043 9.27460i −0.334244 0.520094i
\(319\) −1.80211 2.07975i −0.100899 0.116444i
\(320\) −1.61466 + 1.54689i −0.0902622 + 0.0864739i
\(321\) −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
\(325\) 1.43152 + 14.2765i 0.0794067 + 0.791915i
\(326\) −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
\(330\) −0.508017 + 2.11594i −0.0279654 + 0.116479i
\(331\) 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
\(335\) −2.33850 + 2.98819i −0.127766 + 0.163262i
\(336\) −0.763559 + 5.31067i −0.0416556 + 0.289721i
\(337\) 3.35311 + 2.90549i 0.182656 + 0.158272i 0.741389 0.671075i \(-0.234167\pi\)
−0.558734 + 0.829347i \(0.688713\pi\)
\(338\) 4.33470 + 1.97959i 0.235777 + 0.107676i
\(339\) −49.9144 32.0780i −2.71098 1.74224i
\(340\) 10.0563 7.19699i 0.545377 0.390312i
\(341\) 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
\(345\) 4.00794 33.3827i 0.215780 1.79727i
\(346\) 5.93814 0.319237
\(347\) 8.32057 + 28.3373i 0.446672 + 1.52122i 0.808226 + 0.588873i \(0.200428\pi\)
−0.361554 + 0.932351i \(0.617754\pi\)
\(348\) −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 \(0.0583267\pi\)
\(350\) −7.62356 3.88461i −0.407496 0.207641i
\(351\) −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 0.979620 0.200857i \(-0.0643728\pi\)
−0.0593985 + 0.998234i \(0.518918\pi\)
\(354\) 2.38812 16.6097i 0.126927 0.882798i
\(355\) 14.4618 + 11.3175i 0.767552 + 0.600672i
\(356\) −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 \(0.982587\pi\)
\(360\) 14.8507 + 3.56552i 0.782702 + 0.187919i
\(361\) 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
\(365\) 2.50737 6.30636i 0.131242 0.330090i
\(366\) 15.5021 4.55183i 0.810308 0.237928i
\(367\) 11.8624i 0.619214i −0.950865 0.309607i \(-0.899803\pi\)
0.950865 0.309607i \(-0.100197\pi\)
\(368\) −4.56392 1.47331i −0.237911 0.0768018i
\(369\) −5.99821 −0.312255
\(370\) 9.20458 8.81828i 0.478524 0.458440i
\(371\) −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 0.248350 0.968670i \(-0.420112\pi\)
0.511196 + 0.859464i \(0.329203\pi\)
\(374\) −1.44407 0.928048i −0.0746711 0.0479882i
\(375\) −18.7415 + 29.6231i −0.967807 + 1.52973i
\(376\) 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 \(0.733723\pi\)
\(380\) 9.71200 1.89571i 0.498215 0.0972477i
\(381\) 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 0.734833 0.678248i \(-0.237260\pi\)
−0.566767 + 0.823878i \(0.691806\pi\)
\(384\) 1.30246 2.85198i 0.0664657 0.145540i
\(385\) −0.110096 + 1.18258i −0.00561102 + 0.0602698i
\(386\) 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
\(395\) 9.16884 15.9681i 0.461334 0.803444i
\(396\) −0.301710 2.09844i −0.0151615 0.105451i
\(397\) 4.68475 7.28961i 0.235121 0.365855i −0.703564 0.710632i \(-0.748409\pi\)
0.938685 + 0.344777i \(0.112045\pi\)
\(398\) −6.79101 3.10135i −0.340403 0.155457i
\(399\) 15.5484 17.9438i 0.778392 0.898312i
\(400\) 3.63498 + 3.43321i 0.181749 + 0.171661i
\(401\) 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
\(405\) −12.6364 36.2326i −0.627908 1.80041i
\(406\) −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 \(-0.179383\pi\)
\(410\) −1.70293 0.977817i −0.0841019 0.0482909i
\(411\) −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 \(-0.281842\pi\)
\(420\) 11.9455 + 1.11211i 0.582880 + 0.0542652i
\(421\) 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
\(425\) −17.1960 21.6546i −0.834130 1.05040i
\(426\) −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
\(430\) 0.550579 + 11.0093i 0.0265513 + 0.530914i
\(431\) 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 0.938784 0.344508i \(-0.111954\pi\)
−0.703360 + 0.710834i \(0.748318\pi\)
\(434\) −9.36492 10.8077i −0.449531 0.518786i
\(435\) 42.9998 + 44.8835i 2.06168 + 2.15200i
\(436\) −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 \(0.451303\pi\)
\(440\) 0.256426 0.644945i 0.0122246 0.0307466i
\(441\) −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 −0.875863 0.482560i \(-0.839707\pi\)
0.802799 + 0.596250i \(0.203343\pi\)
\(444\) −7.42483 + 16.2581i −0.352367 + 0.771576i
\(445\) −4.83475 + 20.1372i −0.229189 + 0.954594i
\(446\) 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 \(0.351804\pi\)
\(450\) 6.30416 33.5640i 0.297181 1.58222i
\(451\) −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
\(455\) −6.39045 8.92928i −0.299589 0.418611i
\(456\) −11.6722 + 7.50124i −0.546599 + 0.351278i
\(457\) −20.6860 + 17.9245i −0.967648 + 0.838472i −0.986898 0.161343i \(-0.948418\pi\)
0.0192500 + 0.999815i \(0.493872\pi\)
\(458\) −1.23081 4.19176i −0.0575120 0.195868i
\(459\) 66.4133 3.09991
\(460\) −2.78059 + 10.3570i −0.129645 + 0.482900i
\(461\) −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 −0.392306 0.919835i \(-0.628323\pi\)
0.854641 + 0.519219i \(0.173777\pi\)
\(464\) 7.45852 4.79330i 0.346253 0.222523i
\(465\) −47.6438 + 34.0974i −2.20943 + 1.58123i
\(466\) −10.1481 6.52180i −0.470103 0.302117i
\(467\) −34.6549 15.8264i −1.60364 0.732356i −0.605647 0.795734i \(-0.707086\pi\)
−0.997990 + 0.0633773i \(0.979813\pi\)
\(468\) 14.8127 + 12.8352i 0.684716 + 0.593310i
\(469\) 0.413263 2.87430i 0.0190827 0.132723i
\(470\) −17.6279 13.7953i −0.813117 0.636330i
\(471\) −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
\(475\) −5.31834 21.4779i −0.244022 0.985472i
\(476\) −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 \(0.487712\pi\)
\(480\) −6.51473 2.59022i −0.297355 0.118227i
\(481\) 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
\(485\) −26.6843 27.8533i −1.21167 1.26475i
\(486\) 11.6422 + 13.4359i 0.528103 + 0.609463i
\(487\) 11.0194 + 17.1466i 0.499338 + 0.776984i 0.995847 0.0910472i \(-0.0290214\pi\)
−0.496509 + 0.868032i \(0.665385\pi\)
\(488\) −5.10064 + 0.733362i −0.230895 + 0.0331977i
\(489\) −5.96239 3.83179i −0.269628 0.173280i
\(490\) −9.09312 + 0.454751i −0.410785 + 0.0205435i
\(491\) 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
\(495\) −4.65270 + 0.908171i −0.209123 + 0.0408192i
\(496\) 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 \(0.0973577\pi\)
\(500\) 7.26133 8.50136i 0.324737 0.380192i
\(501\) 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 −0.981116 0.193421i \(-0.938042\pi\)
0.0518251 + 0.998656i \(0.483496\pi\)
\(504\) −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 \(0.690296\pi\)
\(510\) 33.6235 + 19.3065i 1.48887 + 0.854906i
\(511\) 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
\(515\) 29.5776 10.3154i 1.30335 0.454553i
\(516\) −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
\(520\) 2.11304 + 6.05874i 0.0926628 + 0.265694i
\(521\) −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 −0.845087 0.534629i \(-0.820451\pi\)
0.837377 + 0.546625i \(0.184088\pi\)
\(524\) 1.85953 + 12.9333i 0.0812341 + 0.564996i
\(525\) 1.14948 26.8018i 0.0501675 1.16972i
\(526\) −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
\(535\) 0.283591 3.04614i 0.0122607 0.131696i
\(536\) −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
\(540\) 5.14433 + 26.3552i 0.221377 + 1.13415i
\(541\) 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
\(545\) 1.55546 + 31.1027i 0.0666287 + 1.33230i
\(546\) 12.9522 + 8.32385i 0.554301 + 0.356228i
\(547\) −4.78079 + 0.687374i −0.204412 + 0.0293900i −0.243760 0.969836i \(-0.578381\pi\)
0.0393482 + 0.999226i \(0.487472\pi\)
\(548\) 2.54220 + 3.95575i 0.108598 + 0.168981i
\(549\) 23.0489 + 26.5998i 0.983702 + 1.13525i
\(550\) −1.46898 0.500638i −0.0626375 0.0213473i
\(551\) −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
\(555\) 37.1381 + 14.7659i 1.57643 + 0.626777i
\(556\) 15.2459 9.79797i 0.646572 0.415526i
\(557\) −4.32690 + 0.622114i −0.183337 + 0.0263598i −0.233372 0.972388i \(-0.574976\pi\)
0.0500349 + 0.998747i \(0.484067\pi\)
\(558\) 30.8592 48.0179i 1.30637 2.03276i
\(559\) −5.87653 + 12.8678i −0.248551 + 0.544250i
\(560\) −3.72072 0.893309i −0.157229 0.0377492i
\(561\) 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 −0.990772 0.135536i \(-0.956724\pi\)
0.906767 + 0.421632i \(0.138543\pi\)
\(564\) 30.1148 + 8.84251i 1.26806 + 0.372337i
\(565\) 26.0791 33.3244i 1.09715 1.40197i
\(566\) 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 \(0.640043\pi\)
\(570\) 18.0560 + 25.2294i 0.756281 + 1.05674i
\(571\) 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
\(575\) 23.4407 + 5.05307i 0.977545 + 0.210727i
\(576\) 6.83018 0.284591
\(577\) 2.02733 + 6.90445i 0.0843988 + 0.287436i 0.990868 0.134836i \(-0.0430508\pi\)
−0.906469 + 0.422272i \(0.861233\pi\)
\(578\) −10.2669 + 8.89628i −0.427045 + 0.370037i
\(579\) −22.6750 + 14.5723i −0.942339 + 0.605605i
\(580\) −11.5378 16.1216i −0.479080 0.669412i
\(581\) −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
\(585\) 27.0103 34.5143i 1.11674 1.42699i
\(586\) 9.47632 + 2.78250i 0.391463 + 0.114944i
\(587\) 8.68032 29.5624i 0.358275 1.22017i −0.561417 0.827533i \(-0.689744\pi\)
0.919692 0.392640i \(-0.128438\pi\)
\(588\) 11.6123 5.30314i 0.478882 0.218698i
\(589\) 5.26304 36.6053i 0.216860 1.50829i
\(590\) 11.6370 + 2.79393i 0.479087 + 0.115024i
\(591\) −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 −0.168439 0.985712i \(-0.553873\pi\)
0.116091 + 0.993239i \(0.462964\pi\)
\(594\) 3.13570 2.01519i 0.128659 0.0826843i
\(595\) 19.6644 + 7.81845i 0.806163 + 0.320525i
\(596\) 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 \(0.280209\pi\)
\(600\) −5.05706 + 14.8385i −0.206453 + 0.605779i
\(601\) −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
\(605\) −1.21780 24.3509i −0.0495106 0.990004i
\(606\) −16.5658 + 19.1180i −0.672940 + 0.776614i
\(607\) −13.1523 1.89101i −0.533834 0.0767538i −0.129874 0.991530i \(-0.541457\pi\)
−0.403960 + 0.914777i \(0.632366\pi\)
\(608\) 4.02540 1.83834i 0.163251 0.0745545i
\(609\) −45.6415 13.4015i −1.84949 0.543058i
\(610\) 2.20748 + 11.3092i 0.0893781 + 0.457898i
\(611\) −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 \(-0.996643\pi\)
−0.152747 0.988265i \(-0.548812\pi\)
\(614\) 2.54768 5.57863i 0.102816 0.225135i
\(615\) 0.570721 6.13029i 0.0230137 0.247197i
\(616\) 0.0755908 + 0.525746i 0.00304564 + 0.0211829i
\(617\) −5.74990 8.94702i −0.231482 0.360193i 0.706009 0.708203i \(-0.250494\pi\)
−0.937491 + 0.348010i \(0.886858\pi\)
\(618\) −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
\(625\) −19.7969 15.2671i −0.791875 0.610683i
\(626\) −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
\(630\) 8.60653 + 24.6776i 0.342892 + 0.983181i
\(631\) 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
\(635\) −28.7107 + 10.0131i −1.13935 + 0.397357i
\(636\) −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
\(640\) 1.93913 + 1.11344i 0.0766510 + 0.0440127i
\(641\) 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 \(0.228647\pi\)
−0.752915 + 0.658117i \(0.771353\pi\)
\(644\) −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 −0.804570 0.593858i \(-0.797604\pi\)
0.473311 + 0.880896i \(0.343059\pi\)
\(648\) −9.27786 14.4366i −0.364469 0.567125i
\(649\) −0.236419 1.64433i −0.00928027 0.0645457i
\(650\) 13.2949 5.39568i 0.521467 0.211636i
\(651\) 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 0.552772 0.833332i \(-0.313570\pi\)
0.295604 + 0.955310i \(0.404479\pi\)
\(654\) −18.1392 39.7194i −0.709300 1.55315i
\(655\) 28.6761 5.59734i 1.12047 0.218706i
\(656\) −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 \(0.999818\pi\)
\(660\) 2.17335 0.108690i 0.0845977 0.00423077i
\(661\) −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
\(665\) 11.7143 + 12.2274i 0.454260 + 0.474160i
\(666\) −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
\(670\) 3.52598 + 1.40191i 0.136221 + 0.0541604i
\(671\) 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 \(0.393445\pi\)
−0.995618 + 0.0935085i \(0.970192\pi\)
\(674\) 1.84312 4.03586i 0.0709942 0.155456i
\(675\) 58.2839 14.4322i 2.24335 0.555497i
\(676\) 0.678178 4.71683i 0.0260838 0.181417i
\(677\) −16.3642 + 7.47329i −0.628928 + 0.287222i −0.704266 0.709936i \(-0.748724\pi\)
0.0753378 + 0.997158i \(0.475996\pi\)
\(678\) −16.7161 + 56.9299i −0.641980 + 2.18638i
\(679\) 28.3237 + 8.31658i 1.08696 + 0.319161i
\(680\) −9.73864 7.62128i −0.373460 0.292263i
\(681\) 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 0.406107 0.913826i \(-0.366886\pi\)
−0.424680 + 0.905343i \(0.639613\pi\)
\(684\) −25.4274 16.3412i −0.972242 0.624822i
\(685\) 8.55034 6.11925i 0.326692 0.233805i
\(686\) 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
\(690\) −33.1597 + 5.55942i −1.26237 + 0.211643i
\(691\) −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
\(695\) −23.5843 32.9541i −0.894605 1.25002i
\(696\) 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
\(700\) −1.57945 + 8.40917i −0.0596976 + 0.317837i
\(701\) 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
\(705\) 16.3843 68.2423i 0.617070 2.57016i
\(706\) 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 \(0.276779\pi\)
\(710\) 6.78473 17.0645i 0.254627 0.640419i
\(711\) −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
\(715\) −1.37781 1.43817i −0.0515273 0.0537846i
\(716\) −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 \(0.313265\pi\)
\(720\) −0.762844 15.2537i −0.0284295 0.568472i
\(721\) −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
\(725\) −34.7153 + 27.5676i −1.28930 + 1.02384i
\(726\) 14.2015 + 31.0970i 0.527068 + 1.15412i
\(727\) 36.9982 + 5.31953i 1.37219 + 0.197291i 0.788673 0.614813i \(-0.210769\pi\)
0.583513 + 0.812104i \(0.301678\pi\)
\(728\) −3.71118 3.21576i −0.137546 0.119184i
\(729\) −1.76868 + 3.87286i −0.0655066 + 0.143439i
\(730\) −6.75732 0.629096i −0.250100 0.0232839i
\(731\) −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 −0.807199 0.590280i \(-0.799017\pi\)
0.469396 + 0.882988i \(0.344472\pi\)
\(734\) −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 \(0.763529\pi\)
\(740\) −11.0543 6.34734i −0.406364 0.233333i
\(741\) 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 −0.0953731 0.995442i \(-0.530404\pi\)
−0.814761 + 0.579797i \(0.803132\pi\)
\(744\) −17.1583 + 19.8017i −0.629052 + 0.725965i
\(745\) −4.87383 13.9748i −0.178563 0.511998i
\(746\) −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
\(750\) 33.7033 + 9.63654i 1.23067 + 0.351877i
\(751\) 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
\(755\) −16.8525 + 29.3498i −0.613326 + 1.06815i
\(756\) −13.4574 15.5307i −0.489441 0.564845i
\(757\) −6.92289 23.5772i −0.251617 0.856928i −0.984322 0.176382i \(-0.943561\pi\)
0.732705 0.680546i \(-0.238258\pi\)
\(758\) 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
\(765\) −7.82961 + 84.1003i −0.283080 + 3.04065i
\(766\) 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 \(0.482978\pi\)
\(770\) 1.16569 0.227534i 0.0420087 0.00819976i
\(771\) −5.35803 1.57326i −0.192965 0.0566595i
\(772\) 7.81996 3.57126i 0.281447 0.128532i
\(773\) −28.1584