Properties

Label 128.3.l.a.3.19
Level 128
Weight 3
Character 128.3
Analytic conductor 3.488
Analytic rank 0
Dimension 496
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 128 = 2^{7} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 128.l (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.48774738381\)
Analytic rank: \(0\)
Dimension: \(496\)
Relative dimension: \(31\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 3.19
Character \(\chi\) \(=\) 128.3
Dual form 128.3.l.a.43.19

$q$-expansion

\(f(q)\) \(=\) \(q+(0.359443 - 1.96744i) q^{2} +(1.06123 - 0.870929i) q^{3} +(-3.74160 - 1.41436i) q^{4} +(-6.51407 - 1.97602i) q^{5} +(-1.33205 - 2.40095i) q^{6} +(-0.702367 - 3.53104i) q^{7} +(-4.12755 + 6.85298i) q^{8} +(-1.38812 + 6.97855i) q^{9} +O(q^{10})\) \(q+(0.359443 - 1.96744i) q^{2} +(1.06123 - 0.870929i) q^{3} +(-3.74160 - 1.41436i) q^{4} +(-6.51407 - 1.97602i) q^{5} +(-1.33205 - 2.40095i) q^{6} +(-0.702367 - 3.53104i) q^{7} +(-4.12755 + 6.85298i) q^{8} +(-1.38812 + 6.97855i) q^{9} +(-6.22913 + 12.1057i) q^{10} +(-0.787497 - 7.99559i) q^{11} +(-5.20251 + 1.75771i) q^{12} +(-2.30539 - 7.59984i) q^{13} +(-7.19955 + 0.112656i) q^{14} +(-8.63390 + 3.57628i) q^{15} +(11.9992 + 10.5839i) q^{16} +(7.94744 - 19.1868i) q^{17} +(13.2309 + 5.23943i) q^{18} +(7.19499 - 13.4609i) q^{19} +(21.5782 + 16.6067i) q^{20} +(-3.82066 - 3.13553i) q^{21} +(-16.0139 - 1.32461i) q^{22} +(-20.1780 + 13.4825i) q^{23} +(1.58817 + 10.8674i) q^{24} +(17.7417 + 11.8546i) q^{25} +(-15.7808 + 1.80399i) q^{26} +(10.4291 + 19.5116i) q^{27} +(-2.36618 + 14.2051i) q^{28} +(3.83729 - 38.9607i) q^{29} +(3.93270 + 18.2721i) q^{30} +(6.89353 + 6.89353i) q^{31} +(25.1362 - 19.8033i) q^{32} +(-7.79931 - 7.79931i) q^{33} +(-34.8922 - 22.5326i) q^{34} +(-2.40214 + 24.3893i) q^{35} +(15.0640 - 24.1477i) q^{36} +(-18.2260 - 34.0985i) q^{37} +(-23.8972 - 18.9941i) q^{38} +(-9.06547 - 6.05735i) q^{39} +(40.4288 - 36.4846i) q^{40} +(-0.962894 + 0.643385i) q^{41} +(-7.54226 + 6.38985i) q^{42} +(59.6302 + 48.9372i) q^{43} +(-8.36214 + 31.0301i) q^{44} +(22.8321 - 42.7158i) q^{45} +(19.2732 + 44.5452i) q^{46} +(8.29527 - 20.0266i) q^{47} +(21.9518 + 0.781576i) q^{48} +(33.2952 - 13.7913i) q^{49} +(29.7003 - 30.6446i) q^{50} +(-8.27630 - 27.2833i) q^{51} +(-2.12307 + 31.6962i) q^{52} +(1.21081 + 12.2936i) q^{53} +(42.1364 - 13.5054i) q^{54} +(-10.6696 + 53.6399i) q^{55} +(27.0972 + 9.76124i) q^{56} +(-4.08793 - 20.5514i) q^{57} +(-75.2734 - 21.5538i) q^{58} +(-105.206 - 31.9140i) q^{59} +(37.3628 - 1.16957i) q^{60} +(38.0299 - 31.2103i) q^{61} +(16.0404 - 11.0847i) q^{62} +25.6165 q^{63} +(-29.9266 - 56.5721i) q^{64} +54.0614i q^{65} +(-18.1480 + 12.5412i) q^{66} +(26.0326 + 31.7208i) q^{67} +(-56.8732 + 60.5489i) q^{68} +(-9.67122 + 31.8817i) q^{69} +(47.1209 + 13.4926i) q^{70} +(-81.2684 + 16.1653i) q^{71} +(-42.0943 - 38.3171i) q^{72} +(74.7208 + 14.8629i) q^{73} +(-73.6377 + 23.6020i) q^{74} +(29.1525 - 2.87127i) q^{75} +(-45.9593 + 40.1889i) q^{76} +(-27.6796 + 8.39652i) q^{77} +(-15.1760 + 15.6584i) q^{78} +(32.3206 + 78.0289i) q^{79} +(-57.2493 - 92.6552i) q^{80} +(-31.1020 - 12.8829i) q^{81} +(0.919713 + 2.12569i) q^{82} +(26.3421 + 14.0801i) q^{83} +(9.86060 + 17.1357i) q^{84} +(-89.6837 + 109.280i) q^{85} +(117.714 - 99.7284i) q^{86} +(-29.8598 - 44.6883i) q^{87} +(58.0440 + 27.6055i) q^{88} +(-43.7143 + 65.4230i) q^{89} +(-75.8338 - 60.2745i) q^{90} +(-25.2161 + 13.4783i) q^{91} +(94.5674 - 21.9073i) q^{92} +(13.3194 + 1.31185i) q^{93} +(-36.4193 - 23.5188i) q^{94} +(-73.4676 + 73.4676i) q^{95} +(9.42810 - 42.9077i) q^{96} +(-112.520 + 112.520i) q^{97} +(-15.1658 - 70.4633i) q^{98} +(56.8908 + 5.60325i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 496q - 16q^{2} - 16q^{3} - 16q^{4} - 16q^{5} - 16q^{6} - 16q^{7} - 16q^{8} - 16q^{9} + O(q^{10}) \) \( 496q - 16q^{2} - 16q^{3} - 16q^{4} - 16q^{5} - 16q^{6} - 16q^{7} - 16q^{8} - 16q^{9} - 16q^{10} - 16q^{11} - 16q^{12} - 16q^{13} - 16q^{14} - 16q^{15} - 16q^{16} - 16q^{17} - 16q^{18} - 16q^{19} - 16q^{20} - 16q^{21} - 16q^{22} - 16q^{23} - 16q^{24} - 16q^{25} - 16q^{26} - 16q^{27} - 16q^{28} - 16q^{29} - 16q^{30} - 16q^{31} - 16q^{32} - 16q^{33} - 16q^{34} - 16q^{35} - 16q^{36} - 16q^{37} - 16q^{38} - 16q^{39} - 16q^{40} - 16q^{41} - 16q^{42} - 16q^{43} - 16q^{44} - 16q^{45} - 16q^{46} - 16q^{47} - 16q^{48} - 16q^{49} - 640q^{50} - 16q^{51} - 1072q^{52} - 16q^{53} - 1168q^{54} - 16q^{55} - 800q^{56} - 16q^{57} - 736q^{58} - 16q^{59} - 592q^{60} - 16q^{61} - 112q^{62} - 32q^{63} + 176q^{64} + 560q^{66} - 16q^{67} + 464q^{68} - 16q^{69} + 1328q^{70} - 16q^{71} + 1280q^{72} - 16q^{73} + 1216q^{74} - 16q^{75} + 1648q^{76} - 16q^{77} + 1424q^{78} - 16q^{79} + 800q^{80} - 16q^{81} - 16q^{82} - 16q^{83} - 16q^{84} - 16q^{85} - 16q^{86} - 16q^{87} - 16q^{88} - 16q^{89} - 16q^{90} - 16q^{91} - 16q^{92} - 16q^{93} - 16q^{94} - 16q^{95} - 16q^{96} - 16q^{97} - 16q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/128\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(127\)
\(\chi(n)\) \(e\left(\frac{3}{32}\right)\) \(-1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.359443 1.96744i 0.179721 0.983718i
\(3\) 1.06123 0.870929i 0.353743 0.290310i −0.440692 0.897658i \(-0.645267\pi\)
0.794435 + 0.607349i \(0.207767\pi\)
\(4\) −3.74160 1.41436i −0.935400 0.353590i
\(5\) −6.51407 1.97602i −1.30281 0.395204i −0.438760 0.898604i \(-0.644582\pi\)
−0.864053 + 0.503400i \(0.832082\pi\)
\(6\) −1.33205 2.40095i −0.222008 0.400159i
\(7\) −0.702367 3.53104i −0.100338 0.504434i −0.997970 0.0636876i \(-0.979714\pi\)
0.897632 0.440746i \(-0.145286\pi\)
\(8\) −4.12755 + 6.85298i −0.515944 + 0.856622i
\(9\) −1.38812 + 6.97855i −0.154236 + 0.775395i
\(10\) −6.22913 + 12.1057i −0.622913 + 1.21057i
\(11\) −0.787497 7.99559i −0.0715906 0.726872i −0.962244 0.272189i \(-0.912253\pi\)
0.890653 0.454683i \(-0.150247\pi\)
\(12\) −5.20251 + 1.75771i −0.433542 + 0.146476i
\(13\) −2.30539 7.59984i −0.177337 0.584603i −0.999874 0.0158904i \(-0.994942\pi\)
0.822536 0.568712i \(-0.192558\pi\)
\(14\) −7.19955 + 0.112656i −0.514253 + 0.00804686i
\(15\) −8.63390 + 3.57628i −0.575593 + 0.238419i
\(16\) 11.9992 + 10.5839i 0.749948 + 0.661497i
\(17\) 7.94744 19.1868i 0.467496 1.12864i −0.497756 0.867317i \(-0.665842\pi\)
0.965252 0.261319i \(-0.0841575\pi\)
\(18\) 13.2309 + 5.23943i 0.735050 + 0.291079i
\(19\) 7.19499 13.4609i 0.378684 0.708467i −0.618311 0.785933i \(-0.712183\pi\)
0.996995 + 0.0774661i \(0.0246829\pi\)
\(20\) 21.5782 + 16.6067i 1.07891 + 0.830336i
\(21\) −3.82066 3.13553i −0.181936 0.149311i
\(22\) −16.0139 1.32461i −0.727903 0.0602094i
\(23\) −20.1780 + 13.4825i −0.877306 + 0.586197i −0.910619 0.413248i \(-0.864394\pi\)
0.0333123 + 0.999445i \(0.489394\pi\)
\(24\) 1.58817 + 10.8674i 0.0661739 + 0.452808i
\(25\) 17.7417 + 11.8546i 0.709667 + 0.474184i
\(26\) −15.7808 + 1.80399i −0.606955 + 0.0693843i
\(27\) 10.4291 + 19.5116i 0.386264 + 0.722650i
\(28\) −2.36618 + 14.2051i −0.0845065 + 0.507326i
\(29\) 3.83729 38.9607i 0.132320 1.34347i −0.668117 0.744056i \(-0.732899\pi\)
0.800437 0.599416i \(-0.204601\pi\)
\(30\) 3.93270 + 18.2721i 0.131090 + 0.609070i
\(31\) 6.89353 + 6.89353i 0.222372 + 0.222372i 0.809497 0.587125i \(-0.199740\pi\)
−0.587125 + 0.809497i \(0.699740\pi\)
\(32\) 25.1362 19.8033i 0.785508 0.618852i
\(33\) −7.79931 7.79931i −0.236343 0.236343i
\(34\) −34.8922 22.5326i −1.02624 0.662725i
\(35\) −2.40214 + 24.3893i −0.0686325 + 0.696837i
\(36\) 15.0640 24.1477i 0.418444 0.670769i
\(37\) −18.2260 34.0985i −0.492595 0.921580i −0.998267 0.0588541i \(-0.981255\pi\)
0.505672 0.862726i \(-0.331245\pi\)
\(38\) −23.8972 18.9941i −0.628874 0.499844i
\(39\) −9.06547 6.05735i −0.232448 0.155317i
\(40\) 40.4288 36.4846i 1.01072 0.912116i
\(41\) −0.962894 + 0.643385i −0.0234852 + 0.0156923i −0.567257 0.823541i \(-0.691996\pi\)
0.543772 + 0.839233i \(0.316996\pi\)
\(42\) −7.54226 + 6.38985i −0.179578 + 0.152139i
\(43\) 59.6302 + 48.9372i 1.38675 + 1.13808i 0.973822 + 0.227311i \(0.0729935\pi\)
0.412927 + 0.910764i \(0.364507\pi\)
\(44\) −8.36214 + 31.0301i −0.190049 + 0.705230i
\(45\) 22.8321 42.7158i 0.507380 0.949240i
\(46\) 19.2732 + 44.5452i 0.418982 + 0.968374i
\(47\) 8.29527 20.0266i 0.176495 0.426097i −0.810732 0.585418i \(-0.800930\pi\)
0.987227 + 0.159321i \(0.0509305\pi\)
\(48\) 21.9518 + 0.781576i 0.457328 + 0.0162828i
\(49\) 33.2952 13.7913i 0.679494 0.281456i
\(50\) 29.7003 30.6446i 0.594006 0.612891i
\(51\) −8.27630 27.2833i −0.162280 0.534967i
\(52\) −2.12307 + 31.6962i −0.0408283 + 0.609543i
\(53\) 1.21081 + 12.2936i 0.0228455 + 0.231954i 0.999826 + 0.0186278i \(0.00592977\pi\)
−0.976981 + 0.213326i \(0.931570\pi\)
\(54\) 42.1364 13.5054i 0.780303 0.250100i
\(55\) −10.6696 + 53.6399i −0.193994 + 0.975271i
\(56\) 27.0972 + 9.76124i 0.483878 + 0.174308i
\(57\) −4.08793 20.5514i −0.0717181 0.360551i
\(58\) −75.2734 21.5538i −1.29782 0.371617i
\(59\) −105.206 31.9140i −1.78316 0.540916i −0.786139 0.618050i \(-0.787923\pi\)
−0.997021 + 0.0771342i \(0.975423\pi\)
\(60\) 37.3628 1.16957i 0.622713 0.0194928i
\(61\) 38.0299 31.2103i 0.623441 0.511645i −0.268805 0.963195i \(-0.586629\pi\)
0.892246 + 0.451550i \(0.149129\pi\)
\(62\) 16.0404 11.0847i 0.258716 0.178786i
\(63\) 25.6165 0.406611
\(64\) −29.9266 56.5721i −0.467603 0.883938i
\(65\) 54.0614i 0.831713i
\(66\) −18.1480 + 12.5412i −0.274970 + 0.190019i
\(67\) 26.0326 + 31.7208i 0.388546 + 0.473445i 0.930145 0.367192i \(-0.119681\pi\)
−0.541599 + 0.840637i \(0.682181\pi\)
\(68\) −56.8732 + 60.5489i −0.836371 + 0.890425i
\(69\) −9.67122 + 31.8817i −0.140163 + 0.462054i
\(70\) 47.1209 + 13.4926i 0.673156 + 0.192751i
\(71\) −81.2684 + 16.1653i −1.14463 + 0.227680i −0.730744 0.682651i \(-0.760827\pi\)
−0.413881 + 0.910331i \(0.635827\pi\)
\(72\) −42.0943 38.3171i −0.584644 0.532182i
\(73\) 74.7208 + 14.8629i 1.02357 + 0.203601i 0.678210 0.734868i \(-0.262756\pi\)
0.345363 + 0.938469i \(0.387756\pi\)
\(74\) −73.6377 + 23.6020i −0.995104 + 0.318947i
\(75\) 29.1525 2.87127i 0.388701 0.0382837i
\(76\) −45.9593 + 40.1889i −0.604728 + 0.528802i
\(77\) −27.6796 + 8.39652i −0.359475 + 0.109046i
\(78\) −15.1760 + 15.6584i −0.194564 + 0.200749i
\(79\) 32.3206 + 78.0289i 0.409122 + 0.987707i 0.985369 + 0.170432i \(0.0545163\pi\)
−0.576248 + 0.817275i \(0.695484\pi\)
\(80\) −57.2493 92.6552i −0.715616 1.15819i
\(81\) −31.1020 12.8829i −0.383975 0.159048i
\(82\) 0.919713 + 2.12569i 0.0112160 + 0.0259231i
\(83\) 26.3421 + 14.0801i 0.317375 + 0.169640i 0.622390 0.782707i \(-0.286162\pi\)
−0.305016 + 0.952347i \(0.598662\pi\)
\(84\) 9.86060 + 17.1357i 0.117388 + 0.203996i
\(85\) −89.6837 + 109.280i −1.05510 + 1.28565i
\(86\) 117.714 99.7284i 1.36877 1.15963i
\(87\) −29.8598 44.6883i −0.343216 0.513659i
\(88\) 58.0440 + 27.6055i 0.659591 + 0.313699i
\(89\) −43.7143 + 65.4230i −0.491172 + 0.735090i −0.991409 0.130798i \(-0.958246\pi\)
0.500237 + 0.865888i \(0.333246\pi\)
\(90\) −75.8338 60.2745i −0.842598 0.669717i
\(91\) −25.2161 + 13.4783i −0.277100 + 0.148113i
\(92\) 94.5674 21.9073i 1.02791 0.238123i
\(93\) 13.3194 + 1.31185i 0.143219 + 0.0141059i
\(94\) −36.4193 23.5188i −0.387439 0.250200i
\(95\) −73.4676 + 73.4676i −0.773343 + 0.773343i
\(96\) 9.42810 42.9077i 0.0982093 0.446955i
\(97\) −112.520 + 112.520i −1.16000 + 1.16000i −0.175525 + 0.984475i \(0.556162\pi\)
−0.984475 + 0.175525i \(0.943838\pi\)
\(98\) −15.1658 70.4633i −0.154753 0.719014i
\(99\) 56.8908 + 5.60325i 0.574654 + 0.0565985i
\(100\) −49.6156 69.4484i −0.496156 0.694484i
\(101\) 150.679 80.5394i 1.49187 0.797420i 0.494448 0.869207i \(-0.335370\pi\)
0.997420 + 0.0717867i \(0.0228701\pi\)
\(102\) −56.6530 + 6.47630i −0.555421 + 0.0634931i
\(103\) −8.16492 + 12.2197i −0.0792710 + 0.118637i −0.868986 0.494836i \(-0.835228\pi\)
0.789715 + 0.613473i \(0.210228\pi\)
\(104\) 61.5971 + 15.5700i 0.592280 + 0.149711i
\(105\) 18.6921 + 27.9748i 0.178020 + 0.266426i
\(106\) 24.6220 + 2.03664i 0.232283 + 0.0192136i
\(107\) −6.00696 + 7.31950i −0.0561398 + 0.0684065i −0.800323 0.599569i \(-0.795339\pi\)
0.744184 + 0.667975i \(0.232839\pi\)
\(108\) −11.4253 87.7550i −0.105790 0.812546i
\(109\) −168.472 90.0501i −1.54561 0.826147i −0.545683 0.837991i \(-0.683730\pi\)
−0.999930 + 0.0118440i \(0.996230\pi\)
\(110\) 101.698 + 40.2723i 0.924527 + 0.366112i
\(111\) −49.0393 20.3128i −0.441796 0.182998i
\(112\) 28.9445 49.8033i 0.258433 0.444673i
\(113\) −32.5613 78.6100i −0.288153 0.695664i 0.711824 0.702358i \(-0.247869\pi\)
−0.999978 + 0.00669401i \(0.997869\pi\)
\(114\) −41.9030 + 0.655683i −0.367570 + 0.00575161i
\(115\) 158.083 47.9539i 1.37463 0.416991i
\(116\) −69.4621 + 140.348i −0.598811 + 1.20990i
\(117\) 56.2360 5.53877i 0.480650 0.0473399i
\(118\) −100.604 + 195.516i −0.852580 + 1.65691i
\(119\) −73.3314 14.5865i −0.616230 0.122576i
\(120\) 11.1287 73.9292i 0.0927394 0.616077i
\(121\) 55.3657 11.0129i 0.457568 0.0910159i
\(122\) −47.7347 86.0397i −0.391268 0.705243i
\(123\) −0.461509 + 1.52139i −0.00375211 + 0.0123690i
\(124\) −16.0429 35.5428i −0.129378 0.286635i
\(125\) 15.8152 + 19.2709i 0.126522 + 0.154167i
\(126\) 9.20766 50.3988i 0.0730767 0.399991i
\(127\) 134.679i 1.06046i 0.847852 + 0.530232i \(0.177895\pi\)
−0.847852 + 0.530232i \(0.822105\pi\)
\(128\) −122.059 + 38.5442i −0.953584 + 0.301127i
\(129\) 105.902 0.820948
\(130\) 106.362 + 19.4320i 0.818171 + 0.149477i
\(131\) 182.914 150.114i 1.39629 1.14591i 0.425788 0.904823i \(-0.359997\pi\)
0.970504 0.241084i \(-0.0775030\pi\)
\(132\) 18.1509 + 40.2129i 0.137507 + 0.304643i
\(133\) −52.5844 15.9513i −0.395371 0.119935i
\(134\) 71.7658 39.8156i 0.535566 0.297131i
\(135\) −29.3809 147.708i −0.217636 1.09413i
\(136\) 98.6834 + 133.658i 0.725613 + 0.982781i
\(137\) 9.37113 47.1119i 0.0684024 0.343882i −0.931395 0.364010i \(-0.881407\pi\)
0.999797 + 0.0201279i \(0.00640735\pi\)
\(138\) 59.2490 + 30.4871i 0.429341 + 0.220921i
\(139\) −11.9891 121.728i −0.0862529 0.875740i −0.936806 0.349850i \(-0.886232\pi\)
0.850553 0.525890i \(-0.176268\pi\)
\(140\) 43.4831 87.8576i 0.310594 0.627554i
\(141\) −8.63852 28.4774i −0.0612661 0.201967i
\(142\) 2.59283 + 165.701i 0.0182594 + 1.16691i
\(143\) −58.9497 + 24.4178i −0.412236 + 0.170754i
\(144\) −90.5169 + 69.0451i −0.628590 + 0.479480i
\(145\) −101.984 + 246.210i −0.703335 + 1.69800i
\(146\) 56.0996 141.666i 0.384244 0.970315i
\(147\) 23.3226 43.6335i 0.158657 0.296827i
\(148\) 19.9670 + 153.361i 0.134912 + 1.03622i
\(149\) −116.625 95.7118i −0.782720 0.642361i 0.155721 0.987801i \(-0.450230\pi\)
−0.938441 + 0.345440i \(0.887730\pi\)
\(150\) 4.82962 58.3878i 0.0321975 0.389252i
\(151\) 148.564 99.2671i 0.983866 0.657398i 0.0440322 0.999030i \(-0.485980\pi\)
0.939834 + 0.341632i \(0.110980\pi\)
\(152\) 62.5494 + 104.868i 0.411509 + 0.689918i
\(153\) 122.864 + 82.0953i 0.803034 + 0.536570i
\(154\) 6.57037 + 57.4759i 0.0426647 + 0.373220i
\(155\) −31.2832 58.5267i −0.201827 0.377592i
\(156\) 25.3521 + 35.4860i 0.162513 + 0.227475i
\(157\) 4.87922 49.5396i 0.0310779 0.315539i −0.967060 0.254547i \(-0.918074\pi\)
0.998138 0.0609918i \(-0.0194264\pi\)
\(158\) 165.134 35.5418i 1.04515 0.224948i
\(159\) 11.9918 + 11.9918i 0.0754200 + 0.0754200i
\(160\) −202.871 + 79.3301i −1.26794 + 0.495813i
\(161\) 61.7797 + 61.7797i 0.383725 + 0.383725i
\(162\) −36.5256 + 56.5605i −0.225467 + 0.349139i
\(163\) −1.54344 + 15.6709i −0.00946898 + 0.0961402i −0.998758 0.0498326i \(-0.984131\pi\)
0.989289 + 0.145973i \(0.0466312\pi\)
\(164\) 4.51274 1.04541i 0.0275167 0.00637446i
\(165\) 35.3936 + 66.2168i 0.214507 + 0.401314i
\(166\) 37.1702 46.7653i 0.223917 0.281719i
\(167\) −4.56876 3.05275i −0.0273578 0.0182799i 0.541816 0.840497i \(-0.317737\pi\)
−0.569174 + 0.822217i \(0.692737\pi\)
\(168\) 37.2577 13.2408i 0.221772 0.0788143i
\(169\) 88.0756 58.8503i 0.521158 0.348226i
\(170\) 182.765 + 215.727i 1.07509 + 1.26898i
\(171\) 83.9499 + 68.8959i 0.490935 + 0.402900i
\(172\) −153.898 267.442i −0.894754 1.55490i
\(173\) 74.8143 139.968i 0.432453 0.809062i −0.567444 0.823412i \(-0.692068\pi\)
0.999897 + 0.0143498i \(0.00456784\pi\)
\(174\) −98.6542 + 42.6843i −0.566978 + 0.245312i
\(175\) 29.3979 70.9728i 0.167988 0.405559i
\(176\) 75.1756 104.275i 0.427134 0.592473i
\(177\) −139.443 + 57.7592i −0.787814 + 0.326323i
\(178\) 113.003 + 109.521i 0.634847 + 0.615286i
\(179\) −63.4435 209.145i −0.354433 1.16841i −0.935135 0.354293i \(-0.884722\pi\)
0.580702 0.814117i \(-0.302778\pi\)
\(180\) −145.844 + 127.533i −0.810245 + 0.708516i
\(181\) 27.5511 + 279.731i 0.152216 + 1.54548i 0.703219 + 0.710973i \(0.251745\pi\)
−0.551003 + 0.834503i \(0.685755\pi\)
\(182\) 17.4539 + 54.4557i 0.0959005 + 0.299207i
\(183\) 13.1765 66.2427i 0.0720027 0.361982i
\(184\) −9.10958 193.930i −0.0495086 1.05397i
\(185\) 51.3462 + 258.135i 0.277547 + 1.39532i
\(186\) 7.36853 25.7335i 0.0396158 0.138352i
\(187\) −159.668 48.4349i −0.853842 0.259010i
\(188\) −59.3624 + 63.1989i −0.315757 + 0.336164i
\(189\) 61.5709 50.5299i 0.325772 0.267354i
\(190\) 118.135 + 170.950i 0.621765 + 0.899738i
\(191\) 133.082 0.696763 0.348382 0.937353i \(-0.386731\pi\)
0.348382 + 0.937353i \(0.386731\pi\)
\(192\) −81.0293 33.9720i −0.422028 0.176938i
\(193\) 302.677i 1.56827i −0.620589 0.784136i \(-0.713106\pi\)
0.620589 0.784136i \(-0.286894\pi\)
\(194\) 180.931 + 261.820i 0.932636 + 1.34959i
\(195\) 47.0836 + 57.3715i 0.241454 + 0.294213i
\(196\) −144.083 + 4.51024i −0.735119 + 0.0230114i
\(197\) −21.8477 + 72.0221i −0.110902 + 0.365595i −0.994770 0.102142i \(-0.967430\pi\)
0.883868 + 0.467737i \(0.154930\pi\)
\(198\) 31.4730 109.915i 0.158955 0.555126i
\(199\) 152.973 30.4282i 0.768708 0.152906i 0.204868 0.978790i \(-0.434323\pi\)
0.563840 + 0.825884i \(0.309323\pi\)
\(200\) −154.469 + 72.6528i −0.772346 + 0.363264i
\(201\) 55.2531 + 10.9905i 0.274891 + 0.0546792i
\(202\) −104.296 325.400i −0.516316 1.61089i
\(203\) −140.267 + 13.8151i −0.690970 + 0.0680546i
\(204\) −7.62180 + 113.789i −0.0373618 + 0.557789i
\(205\) 7.54370 2.28836i 0.0367985 0.0111627i
\(206\) 21.1066 + 20.4562i 0.102459 + 0.0993020i
\(207\) −66.0791 159.529i −0.319223 0.770671i
\(208\) 52.7736 115.592i 0.253719 0.555730i
\(209\) −113.294 46.9278i −0.542075 0.224535i
\(210\) 61.7573 26.7202i 0.294082 0.127239i
\(211\) −41.9183 22.4058i −0.198665 0.106189i 0.369065 0.929404i \(-0.379678\pi\)
−0.567730 + 0.823215i \(0.692178\pi\)
\(212\) 12.8572 47.7102i 0.0606470 0.225048i
\(213\) −72.1657 + 87.9341i −0.338806 + 0.412836i
\(214\) 12.2415 + 14.4492i 0.0572032 + 0.0675198i
\(215\) −291.734 436.611i −1.35690 2.03075i
\(216\) −176.759 9.06429i −0.818329 0.0419643i
\(217\) 19.4995 29.1831i 0.0898596 0.134484i
\(218\) −237.724 + 299.090i −1.09048 + 1.37197i
\(219\) 92.2406 49.3036i 0.421190 0.225131i
\(220\) 115.788 185.609i 0.526308 0.843675i
\(221\) −164.139 16.1662i −0.742709 0.0731504i
\(222\) −57.5909 + 89.1805i −0.259418 + 0.401714i
\(223\) −137.593 + 137.593i −0.617010 + 0.617010i −0.944763 0.327754i \(-0.893708\pi\)
0.327754 + 0.944763i \(0.393708\pi\)
\(224\) −87.5809 74.8478i −0.390986 0.334142i
\(225\) −107.356 + 107.356i −0.477136 + 0.477136i
\(226\) −166.364 + 35.8065i −0.736124 + 0.158436i
\(227\) −37.7993 3.72290i −0.166517 0.0164005i 0.0144152 0.999896i \(-0.495411\pi\)
−0.180932 + 0.983496i \(0.557911\pi\)
\(228\) −13.7717 + 82.6770i −0.0604022 + 0.362619i
\(229\) 3.66577 1.95939i 0.0160077 0.00855630i −0.463373 0.886163i \(-0.653361\pi\)
0.479381 + 0.877607i \(0.340861\pi\)
\(230\) −37.5245 328.255i −0.163150 1.42719i
\(231\) −22.0617 + 33.0176i −0.0955051 + 0.142933i
\(232\) 251.158 + 187.109i 1.08258 + 0.806505i
\(233\) −159.972 239.414i −0.686573 1.02753i −0.997035 0.0769439i \(-0.975484\pi\)
0.310462 0.950586i \(-0.399516\pi\)
\(234\) 9.31647 112.632i 0.0398140 0.481332i
\(235\) −93.6089 + 114.063i −0.398336 + 0.485373i
\(236\) 348.503 + 268.209i 1.47671 + 1.13648i
\(237\) 102.257 + 54.6576i 0.431465 + 0.230623i
\(238\) −55.0565 + 139.032i −0.231330 + 0.584167i
\(239\) 415.021 + 171.907i 1.73649 + 0.719277i 0.999037 + 0.0438783i \(0.0139714\pi\)
0.737452 + 0.675399i \(0.236029\pi\)
\(240\) −141.451 48.4684i −0.589378 0.201952i
\(241\) −180.990 436.949i −0.750996 1.81306i −0.553690 0.832723i \(-0.686781\pi\)
−0.197306 0.980342i \(-0.563219\pi\)
\(242\) −1.76642 112.887i −0.00729924 0.466475i
\(243\) −234.768 + 71.2160i −0.966123 + 0.293070i
\(244\) −186.435 + 62.9887i −0.764080 + 0.258150i
\(245\) −244.139 + 24.0456i −0.996486 + 0.0981453i
\(246\) 2.82735 + 1.45484i 0.0114933 + 0.00591399i
\(247\) −118.888 23.6482i −0.481327 0.0957418i
\(248\) −75.6946 + 18.7878i −0.305220 + 0.0757572i
\(249\) 40.2178 7.99982i 0.161517 0.0321278i
\(250\) 43.5989 24.1886i 0.174396 0.0967546i
\(251\) −116.073 + 382.642i −0.462442 + 1.52447i 0.347341 + 0.937739i \(0.387085\pi\)
−0.809783 + 0.586729i \(0.800415\pi\)
\(252\) −95.8468 36.2310i −0.380344 0.143774i
\(253\) 123.691 + 150.718i 0.488897 + 0.595723i
\(254\) 264.972 + 48.4094i 1.04320 + 0.190588i
\(255\) 194.079i 0.761096i
\(256\) 31.9602 + 253.997i 0.124844 + 0.992176i
\(257\) 210.594 0.819431 0.409716 0.912213i \(-0.365628\pi\)
0.409716 + 0.912213i \(0.365628\pi\)
\(258\) 38.0658 208.356i 0.147542 0.807581i
\(259\) −107.602 + 88.3063i −0.415450 + 0.340951i
\(260\) 76.4622 202.276i 0.294085 0.777985i
\(261\) 266.563 + 80.8609i 1.02131 + 0.309812i
\(262\) −229.592 413.829i −0.876306 1.57950i
\(263\) 8.38563 + 42.1574i 0.0318845 + 0.160294i 0.993447 0.114291i \(-0.0364595\pi\)
−0.961563 + 0.274585i \(0.911460\pi\)
\(264\) 85.6405 21.2564i 0.324396 0.0805168i
\(265\) 16.4051 82.4738i 0.0619059 0.311222i
\(266\) −50.2842 + 97.7228i −0.189038 + 0.367379i
\(267\) 10.5879 + 107.501i 0.0396551 + 0.402625i
\(268\) −52.5389 155.506i −0.196041 0.580246i
\(269\) 40.3422 + 132.990i 0.149971 + 0.494388i 0.999447 0.0332384i \(-0.0105821\pi\)
−0.849476 + 0.527627i \(0.823082\pi\)
\(270\) −301.166 + 4.71255i −1.11543 + 0.0174539i
\(271\) 369.053 152.867i 1.36182 0.564083i 0.422260 0.906475i \(-0.361237\pi\)
0.939558 + 0.342391i \(0.111237\pi\)
\(272\) 298.435 146.111i 1.09719 0.537171i
\(273\) −15.0214 + 36.2650i −0.0550236 + 0.132839i
\(274\) −89.3211 35.3711i −0.325990 0.129092i
\(275\) 80.8131 151.191i 0.293866 0.549784i
\(276\) 81.2781 105.610i 0.294486 0.382646i
\(277\) −131.189 107.664i −0.473605 0.388677i 0.367091 0.930185i \(-0.380354\pi\)
−0.840696 + 0.541508i \(0.817854\pi\)
\(278\) −243.801 20.1663i −0.876982 0.0725407i
\(279\) −57.6759 + 38.5378i −0.206724 + 0.138128i
\(280\) −157.224 117.130i −0.561516 0.418321i
\(281\) 87.1233 + 58.2139i 0.310047 + 0.207167i 0.700852 0.713307i \(-0.252803\pi\)
−0.390805 + 0.920474i \(0.627803\pi\)
\(282\) −59.1325 + 6.75974i −0.209690 + 0.0239707i
\(283\) 147.873 + 276.652i 0.522521 + 0.977568i 0.995342 + 0.0964096i \(0.0307359\pi\)
−0.472821 + 0.881159i \(0.656764\pi\)
\(284\) 326.937 + 54.4587i 1.15119 + 0.191756i
\(285\) −13.9810 + 141.951i −0.0490560 + 0.498074i
\(286\) 26.8513 + 124.756i 0.0938858 + 0.436211i
\(287\) 2.94812 + 2.94812i 0.0102722 + 0.0102722i
\(288\) 103.306 + 202.904i 0.358702 + 0.704528i
\(289\) −100.618 100.618i −0.348160 0.348160i
\(290\) 447.745 + 289.144i 1.54395 + 0.997050i
\(291\) −21.4127 + 217.407i −0.0735831 + 0.747102i
\(292\) −258.554 161.293i −0.885459 0.552374i
\(293\) 174.588 + 326.632i 0.595865 + 1.11479i 0.981379 + 0.192083i \(0.0615243\pi\)
−0.385514 + 0.922702i \(0.625976\pi\)
\(294\) −77.4630 61.5695i −0.263480 0.209420i
\(295\) 622.259 + 415.780i 2.10935 + 1.40942i
\(296\) 308.905 + 15.8408i 1.04360 + 0.0535162i
\(297\) 147.793 98.7524i 0.497621 0.332500i
\(298\) −230.227 + 195.050i −0.772573 + 0.654529i
\(299\) 148.983 + 122.267i 0.498272 + 0.408921i
\(300\) −113.138 30.4890i −0.377127 0.101630i
\(301\) 130.917 244.928i 0.434940 0.813715i
\(302\) −141.902 327.970i −0.469873 1.08599i
\(303\) 89.7607 216.701i 0.296240 0.715186i
\(304\) 228.803 85.3680i 0.752642 0.280816i
\(305\) −309.402 + 128.158i −1.01443 + 0.420191i
\(306\) 205.680 212.219i 0.672156 0.693526i
\(307\) −13.4499 44.3382i −0.0438106 0.144424i 0.932307 0.361669i \(-0.117793\pi\)
−0.976117 + 0.217245i \(0.930293\pi\)
\(308\) 115.442 + 7.73251i 0.374811 + 0.0251056i
\(309\) 1.97760 + 20.0789i 0.00640001 + 0.0649804i
\(310\) −126.392 + 40.5106i −0.407716 + 0.130679i
\(311\) −56.3807 + 283.445i −0.181288 + 0.911399i 0.777848 + 0.628453i \(0.216312\pi\)
−0.959136 + 0.282946i \(0.908688\pi\)
\(312\) 78.9291 37.1234i 0.252978 0.118985i
\(313\) 54.0466 + 271.711i 0.172673 + 0.868085i 0.965852 + 0.259096i \(0.0834246\pi\)
−0.793179 + 0.608989i \(0.791575\pi\)
\(314\) −95.7121 27.4062i −0.304816 0.0872809i
\(315\) −166.868 50.6187i −0.529739 0.160694i
\(316\) −10.5699 337.666i −0.0334492 1.06856i
\(317\) −141.300 + 115.962i −0.445740 + 0.365809i −0.830324 0.557281i \(-0.811845\pi\)
0.384584 + 0.923090i \(0.374345\pi\)
\(318\) 27.9034 19.2827i 0.0877466 0.0606374i
\(319\) −314.536 −0.986005
\(320\) 83.1564 + 427.650i 0.259864 + 1.33641i
\(321\) 12.9993i 0.0404963i
\(322\) 143.754 99.3414i 0.446441 0.308514i
\(323\) −201.090 245.028i −0.622569 0.758602i
\(324\) 98.1502 + 92.1920i 0.302933 + 0.284543i
\(325\) 49.1917 162.163i 0.151359 0.498964i
\(326\) 30.2766 + 8.66940i 0.0928730 + 0.0265933i
\(327\) −257.215 + 51.1632i −0.786589 + 0.156462i
\(328\) −0.434708 9.25429i −0.00132533 0.0282143i
\(329\) −76.5408 15.2249i −0.232647 0.0462763i
\(330\) 142.999 45.8335i 0.433331 0.138889i
\(331\) 78.7395 7.75516i 0.237884 0.0234295i 0.0216273 0.999766i \(-0.493115\pi\)
0.216256 + 0.976337i \(0.430615\pi\)
\(332\) −78.6472 89.9395i −0.236889 0.270902i
\(333\) 263.258 79.8584i 0.790564 0.239815i
\(334\) −7.64829 + 7.89145i −0.0228991 + 0.0236271i
\(335\) −106.897 258.072i −0.319096 0.770365i
\(336\) −12.6584 78.0614i −0.0376738 0.232326i
\(337\) −136.918 56.7131i −0.406284 0.168288i 0.170176 0.985414i \(-0.445566\pi\)
−0.576460 + 0.817125i \(0.695566\pi\)
\(338\) −84.1259 194.436i −0.248893 0.575256i
\(339\) −103.019 55.0647i −0.303890 0.162433i
\(340\) 490.122 282.037i 1.44154 0.829520i
\(341\) 49.6892 60.5465i 0.145716 0.177556i
\(342\) 165.723 140.402i 0.484572 0.410532i
\(343\) −170.092 254.560i −0.495894 0.742157i
\(344\) −581.493 + 206.653i −1.69039 + 0.600737i
\(345\) 125.998 188.569i 0.365211 0.546578i
\(346\) −248.486 197.503i −0.718167 0.570817i
\(347\) −546.338 + 292.024i −1.57446 + 0.841567i −0.574730 + 0.818343i \(0.694893\pi\)
−0.999730 + 0.0232236i \(0.992607\pi\)
\(348\) 48.5180 + 209.438i 0.139420 + 0.601834i
\(349\) 360.649 + 35.5208i 1.03338 + 0.101779i 0.600461 0.799654i \(-0.294984\pi\)
0.432918 + 0.901433i \(0.357484\pi\)
\(350\) −129.068 83.3491i −0.368764 0.238140i
\(351\) 124.241 124.241i 0.353964 0.353964i
\(352\) −178.133 185.384i −0.506061 0.526659i
\(353\) 317.983 317.983i 0.900800 0.900800i −0.0947050 0.995505i \(-0.530191\pi\)
0.995505 + 0.0947050i \(0.0301908\pi\)
\(354\) 63.5157 + 295.106i 0.179423 + 0.833634i
\(355\) 561.331 + 55.2862i 1.58121 + 0.155736i
\(356\) 256.093 182.959i 0.719363 0.513930i
\(357\) −90.5253 + 48.3868i −0.253572 + 0.135537i
\(358\) −434.284 + 49.6453i −1.21308 + 0.138674i
\(359\) 203.077 303.926i 0.565674 0.846591i −0.432818 0.901481i \(-0.642481\pi\)
0.998492 + 0.0548902i \(0.0174809\pi\)
\(360\) 198.490 + 332.780i 0.551361 + 0.924388i
\(361\) 71.1335 + 106.459i 0.197046 + 0.294900i
\(362\) 560.256 + 46.3423i 1.54767 + 0.128017i
\(363\) 49.1643 59.9069i 0.135439 0.165033i
\(364\) 113.412 14.7657i 0.311571 0.0405652i
\(365\) −457.367 244.468i −1.25306 0.669775i
\(366\) −125.592 49.7344i −0.343148 0.135886i
\(367\) 424.043 + 175.645i 1.15543 + 0.478595i 0.876351 0.481672i \(-0.159970\pi\)
0.279080 + 0.960268i \(0.409970\pi\)
\(368\) −384.818 51.7841i −1.04570 0.140718i
\(369\) −3.15328 7.61270i −0.00854548 0.0206306i
\(370\) 526.319 8.23566i 1.42248 0.0222585i
\(371\) 42.5586 12.9100i 0.114713 0.0347979i
\(372\) −47.9805 23.7468i −0.128980 0.0638356i
\(373\) 38.5301 3.79489i 0.103298 0.0101740i −0.0462361 0.998931i \(-0.514723\pi\)
0.149534 + 0.988757i \(0.452223\pi\)
\(374\) −152.684 + 296.728i −0.408247 + 0.793390i
\(375\) 33.5672 + 6.67693i 0.0895125 + 0.0178051i
\(376\) 103.002 + 139.508i 0.273942 + 0.371032i
\(377\) −304.941 + 60.6566i −0.808863 + 0.160893i
\(378\) −77.2832 139.299i −0.204453 0.368517i
\(379\) 32.0529 105.664i 0.0845723 0.278798i −0.904447 0.426587i \(-0.859716\pi\)
0.989019 + 0.147789i \(0.0472158\pi\)
\(380\) 378.796 170.977i 0.996832 0.449939i
\(381\) 117.296 + 142.925i 0.307863 + 0.375132i
\(382\) 47.8353 261.830i 0.125223 0.685418i
\(383\) 681.785i 1.78012i 0.455845 + 0.890059i \(0.349337\pi\)
−0.455845 + 0.890059i \(0.650663\pi\)
\(384\) −95.9632 + 147.209i −0.249904 + 0.383356i
\(385\) 196.899 0.511425
\(386\) −595.497 108.795i −1.54274 0.281852i
\(387\) −424.285 + 348.202i −1.09634 + 0.899746i
\(388\) 580.149 261.861i 1.49523 0.674900i
\(389\) −414.510 125.740i −1.06558 0.323239i −0.291657 0.956523i \(-0.594207\pi\)
−0.773920 + 0.633284i \(0.781707\pi\)
\(390\) 129.799 72.0122i 0.332817 0.184647i
\(391\) 98.3232 + 494.304i 0.251466 + 1.26421i
\(392\) −42.9161 + 285.096i −0.109480 + 0.727285i
\(393\) 63.3756 318.611i 0.161261 0.810714i
\(394\) 133.846 + 68.8717i 0.339710 + 0.174801i
\(395\) −56.3520 572.152i −0.142663 1.44848i
\(396\) −204.938 101.429i −0.517519 0.256134i
\(397\) −63.9315 210.754i −0.161037 0.530866i 0.838873 0.544327i \(-0.183215\pi\)
−0.999909 + 0.0134611i \(0.995715\pi\)
\(398\) −4.88053 311.901i −0.0122626 0.783672i
\(399\) −69.6966 + 28.8693i −0.174678 + 0.0723541i
\(400\) 87.4169 + 330.023i 0.218542 + 0.825056i
\(401\) 29.8121 71.9727i 0.0743444 0.179483i −0.882338 0.470615i \(-0.844032\pi\)
0.956683 + 0.291132i \(0.0940320\pi\)
\(402\) 41.4835 104.756i 0.103193 0.260588i
\(403\) 36.4975 68.2820i 0.0905644 0.169434i
\(404\) −677.692 + 88.2326i −1.67745 + 0.218397i
\(405\) 177.144 + 145.378i 0.437392 + 0.358958i
\(406\) −23.2376 + 280.932i −0.0572355 + 0.691950i
\(407\) −258.284 + 172.580i −0.634605 + 0.424030i
\(408\) 221.133 + 55.8960i 0.541992 + 0.137000i
\(409\) −313.717 209.619i −0.767033 0.512515i 0.109424 0.993995i \(-0.465099\pi\)
−0.876457 + 0.481480i \(0.840099\pi\)
\(410\) −1.79066 15.6643i −0.00436747 0.0382055i
\(411\) −31.0862 58.1581i −0.0756354 0.141504i
\(412\) 47.8329 34.1730i 0.116099 0.0829441i
\(413\) −38.7961 + 393.903i −0.0939372 + 0.953760i
\(414\) −337.615 + 72.6648i −0.815494 + 0.175519i
\(415\) −143.772 143.772i −0.346437 0.346437i
\(416\) −208.450 145.377i −0.501083 0.349464i
\(417\) −118.740 118.740i −0.284747 0.284747i
\(418\) −133.050 + 206.030i −0.318301 + 0.492895i
\(419\) −38.4067 + 389.950i −0.0916628 + 0.930668i 0.833860 + 0.551976i \(0.186126\pi\)
−0.925523 + 0.378692i \(0.876374\pi\)
\(420\) −30.3722 131.108i −0.0723146 0.312162i
\(421\) −61.2662 114.621i −0.145525 0.272259i 0.798589 0.601877i \(-0.205580\pi\)
−0.944114 + 0.329618i \(0.893080\pi\)
\(422\) −59.1492 + 74.4179i −0.140164 + 0.176346i
\(423\) 128.242 + 85.6883i 0.303172 + 0.202573i
\(424\) −89.2453 42.4447i −0.210484 0.100105i
\(425\) 368.453 246.193i 0.866949 0.579277i
\(426\) 147.065 + 173.589i 0.345224 + 0.407485i
\(427\) −136.916 112.364i −0.320646 0.263147i
\(428\) 32.8280 18.8906i 0.0767010 0.0441370i
\(429\) −41.2931 + 77.2539i −0.0962542 + 0.180079i
\(430\) −963.866 + 417.031i −2.24155 + 0.969841i
\(431\) −270.765 + 653.685i −0.628226 + 1.51667i 0.213599 + 0.976921i \(0.431481\pi\)
−0.841825 + 0.539750i \(0.818519\pi\)
\(432\) −81.3682 + 344.504i −0.188352 + 0.797463i
\(433\) 194.169 80.4276i 0.448428 0.185745i −0.147029 0.989132i \(-0.546971\pi\)
0.595457 + 0.803387i \(0.296971\pi\)
\(434\) −50.4069 48.8537i −0.116145 0.112566i
\(435\) 106.204 + 350.106i 0.244146 + 0.804842i
\(436\) 502.991 + 575.211i 1.15365 + 1.31929i
\(437\) 36.3060 + 368.621i 0.0830801 + 0.843526i
\(438\) −63.8464 199.199i −0.145768 0.454793i
\(439\) 57.8466 290.815i 0.131769 0.662448i −0.857279 0.514852i \(-0.827847\pi\)
0.989048 0.147595i \(-0.0471533\pi\)
\(440\) −323.554 294.520i −0.735349 0.669365i
\(441\) 50.0257 + 251.496i 0.113437 + 0.570287i
\(442\) −90.8045 + 317.121i −0.205440 + 0.717469i
\(443\) −500.389 151.791i −1.12955 0.342644i −0.330436 0.943828i \(-0.607196\pi\)
−0.799111 + 0.601184i \(0.794696\pi\)
\(444\) 154.756 + 145.362i 0.348550 + 0.327391i
\(445\) 414.035 339.790i 0.930416 0.763573i
\(446\) 221.249 + 320.162i 0.496073 + 0.717853i
\(447\) −207.124 −0.463366
\(448\) −178.739 + 145.406i −0.398970 + 0.324568i
\(449\) 261.887i 0.583267i −0.956530 0.291633i \(-0.905801\pi\)
0.956530 0.291633i \(-0.0941988\pi\)
\(450\) 172.627 + 249.803i 0.383616 + 0.555119i
\(451\) 5.90252 + 7.19224i 0.0130876 + 0.0159473i
\(452\) 10.6487 + 340.181i 0.0235590 + 0.752612i
\(453\) 71.2057 234.734i 0.157187 0.518176i
\(454\) −20.9112 + 73.0295i −0.0460600 + 0.160858i
\(455\) 190.893 37.9709i 0.419544 0.0834525i
\(456\) 157.712 + 56.8126i 0.345859 + 0.124589i
\(457\) −799.016 158.934i −1.74839 0.347777i −0.785749 0.618545i \(-0.787722\pi\)
−0.962645 + 0.270768i \(0.912722\pi\)
\(458\) −2.53735 7.91645i −0.00554006 0.0172848i
\(459\) 457.250 45.0352i 0.996186 0.0981158i
\(460\) −659.308 44.1617i −1.43328 0.0960037i
\(461\) −8.30914 + 2.52055i −0.0180242 + 0.00546757i −0.299284 0.954164i \(-0.596748\pi\)
0.281260 + 0.959632i \(0.409248\pi\)
\(462\) 57.0301 + 55.2728i 0.123442 + 0.119638i
\(463\) −260.460 628.805i −0.562548 1.35811i −0.907722 0.419572i \(-0.862180\pi\)
0.345174 0.938539i \(-0.387820\pi\)
\(464\) 458.402 426.882i 0.987936 0.920005i
\(465\) −84.1713 34.8649i −0.181013 0.0749782i
\(466\) −528.533 + 228.678i −1.13419 + 0.490725i
\(467\) −114.962 61.4486i −0.246172 0.131581i 0.343697 0.939081i \(-0.388321\pi\)
−0.589869 + 0.807499i \(0.700821\pi\)
\(468\) −218.247 58.8142i −0.466339 0.125671i
\(469\) 93.7228 114.202i 0.199835 0.243500i
\(470\) 190.764 + 225.168i 0.405881 + 0.479082i
\(471\) −37.9675 56.8224i −0.0806104 0.120642i
\(472\) 652.951 589.250i 1.38337 1.24841i
\(473\) 344.323 515.317i 0.727957 1.08946i
\(474\) 144.291 181.538i 0.304411 0.382992i
\(475\) 287.225 153.525i 0.604683 0.323210i
\(476\) 253.746 + 158.294i 0.533080 + 0.332550i
\(477\) −87.4721 8.61525i −0.183380 0.0180613i
\(478\) 487.393 754.736i 1.01965 1.57895i
\(479\) 454.748 454.748i 0.949369 0.949369i −0.0494093 0.998779i \(-0.515734\pi\)
0.998779 + 0.0494093i \(0.0157339\pi\)
\(480\) −146.202 + 260.874i −0.304587 + 0.543487i
\(481\) −217.125 + 217.125i −0.451403 + 0.451403i
\(482\) −924.724 + 199.028i −1.91851 + 0.412922i
\(483\) 119.368 + 11.7568i 0.247139 + 0.0243411i
\(484\) −222.733 37.1011i −0.460192 0.0766552i
\(485\) 955.305 510.621i 1.96970 1.05283i
\(486\) 55.7274 + 487.489i 0.114665 + 1.00306i
\(487\) 218.005 326.267i 0.447649 0.669954i −0.537183 0.843466i \(-0.680512\pi\)
0.984832 + 0.173512i \(0.0555116\pi\)
\(488\) 56.9133 + 389.440i 0.116626 + 0.798034i
\(489\) 12.0103 + 17.9746i 0.0245609 + 0.0367579i
\(490\) −40.4458 + 488.971i −0.0825425 + 0.997900i
\(491\) −137.393 + 167.413i −0.279822 + 0.340964i −0.893888 0.448291i \(-0.852033\pi\)
0.614066 + 0.789255i \(0.289533\pi\)
\(492\) 3.87858 5.03970i 0.00788329 0.0102433i
\(493\) −717.035 383.263i −1.45443 0.777410i
\(494\) −89.2597 + 225.404i −0.180688 + 0.456283i
\(495\) −359.518 148.917i −0.726300 0.300843i
\(496\) 9.75589 + 155.677i 0.0196691 + 0.313866i
\(497\) 114.160 + 275.608i 0.229699 + 0.554543i
\(498\) −1.28313 82.0015i −0.00257657 0.164662i
\(499\) −433.704 + 131.563i −0.869146 + 0.263653i −0.693198 0.720747i \(-0.743799\pi\)
−0.175948 + 0.984399i \(0.556299\pi\)
\(500\) −31.9183 94.4725i −0.0638365 0.188945i
\(501\) −7.50723 + 0.739398i −0.0149845 + 0.00147584i
\(502\) 711.101 + 365.904i 1.41654 + 0.728892i
\(503\) 314.007 + 62.4599i 0.624268 + 0.124175i 0.497081 0.867704i \(-0.334405\pi\)
0.127187 + 0.991879i \(0.459405\pi\)
\(504\) −105.733 + 175.549i −0.209789 + 0.348312i
\(505\) −1140.68 + 226.895i −2.25877 + 0.449297i
\(506\) 340.988 189.180i 0.673888 0.373873i
\(507\) 42.2141 139.161i 0.0832626 0.274480i
\(508\) 190.485 503.915i 0.374970 0.991959i
\(509\) 192.120 + 234.099i 0.377447 + 0.459920i 0.926737 0.375712i \(-0.122602\pi\)
−0.549290 + 0.835632i \(0.685102\pi\)
\(510\) 381.839 + 69.7604i 0.748703 + 0.136785i
\(511\) 274.281i 0.536754i
\(512\) 511.211 + 28.4178i 0.998458 + 0.0555036i
\(513\) 337.680 0.658246
\(514\) 75.6964 414.330i 0.147269 0.806089i
\(515\) 77.3331 63.4656i 0.150161 0.123234i
\(516\) −396.244 149.784i −0.767915 0.290279i
\(517\) −166.657 50.5547i −0.322353 0.0977848i
\(518\) 135.060 + 243.440i 0.260734 + 0.469962i
\(519\) −42.5068 213.696i −0.0819013 0.411746i
\(520\) −370.481 223.141i −0.712464 0.429118i
\(521\) 106.016 532.978i 0.203486 1.02299i −0.735104 0.677955i \(-0.762867\pi\)
0.938589 0.345036i \(-0.112133\pi\)
\(522\) 254.903 495.380i 0.488319 0.949004i
\(523\) −12.6234 128.167i −0.0241365 0.245062i −0.999681 0.0252596i \(-0.991959\pi\)
0.975544 0.219802i \(-0.0705412\pi\)
\(524\) −896.707 + 302.960i −1.71127 + 0.578167i
\(525\) −30.6144 100.922i −0.0583131 0.192232i
\(526\) 85.9562 1.34501i 0.163415 0.00255706i
\(527\) 187.051 77.4790i 0.354935 0.147019i
\(528\) −11.0378 176.133i −0.0209049 0.333585i
\(529\) 22.9352 55.3704i 0.0433557 0.104670i
\(530\) −156.365 61.9205i −0.295029 0.116831i
\(531\) 368.753 689.888i 0.694450 1.29922i
\(532\) 174.189 + 134.057i 0.327423 + 0.251986i
\(533\) 7.10946 + 5.83458i 0.0133386 + 0.0109467i
\(534\) 215.307 + 17.8094i 0.403196 + 0.0333509i
\(535\) 53.5932 35.8098i 0.100174 0.0669343i
\(536\) −324.833 + 47.4714i −0.606031 + 0.0885661i
\(537\) −249.479 166.696i −0.464579 0.310422i
\(538\) 276.151 31.5682i 0.513291 0.0586770i
\(539\) −136.490 255.354i −0.253227 0.473755i
\(540\) −98.9803 + 594.219i −0.183297 + 1.10041i
\(541\) −101.846 + 1034.06i −0.188255 + 1.91139i 0.183441 + 0.983031i \(0.441276\pi\)
−0.371696 + 0.928355i \(0.621224\pi\)
\(542\) −168.102 781.034i −0.310151 1.44102i
\(543\) 272.864 + 272.864i 0.502512 + 0.502512i
\(544\) −180.193 639.670i −0.331237 1.17586i
\(545\) 919.496 + 919.496i 1.68715 + 1.68715i
\(546\) 65.9496 + 42.5889i 0.120787 + 0.0780016i
\(547\) −96.8011 + 982.838i −0.176967 + 1.79678i 0.339639 + 0.940556i \(0.389695\pi\)
−0.516606 + 0.856223i \(0.672805\pi\)
\(548\) −101.696 + 163.020i −0.185577 + 0.297481i
\(549\) 165.013 + 308.718i 0.300570 + 0.562327i
\(550\) −268.410 213.339i −0.488018 0.387889i
\(551\) −496.836 331.975i −0.901698 0.602496i
\(552\) −178.566 197.870i −0.323490 0.358461i
\(553\) 252.822 168.930i 0.457182 0.305479i
\(554\) −258.976 + 219.406i −0.467466 + 0.396040i
\(555\) 279.307 + 229.221i 0.503256 + 0.413012i
\(556\) −127.308 + 472.414i −0.228972 + 0.849666i
\(557\) −356.258 + 666.511i −0.639601 + 1.19661i 0.328133 + 0.944632i \(0.393581\pi\)
−0.967733 + 0.251977i \(0.918919\pi\)
\(558\) 55.0895 + 127.326i 0.0987267 + 0.228182i
\(559\) 234.445 565.999i 0.419400 1.01252i
\(560\) −286.959 + 267.227i −0.512426 + 0.477192i
\(561\) −211.628 + 87.6594i −0.377234 + 0.156256i
\(562\) 145.848 150.485i 0.259516 0.267767i
\(563\) −162.580 535.956i −0.288775 0.951964i −0.974554 0.224154i \(-0.928038\pi\)
0.685779 0.727810i \(-0.259462\pi\)
\(564\) −7.95538 + 118.769i −0.0141053 + 0.210583i
\(565\) 56.7717 + 576.413i 0.100481 + 1.02020i
\(566\) 597.447 191.491i 1.05556 0.338323i
\(567\) −23.6449 + 118.871i −0.0417017 + 0.209649i
\(568\) 224.659 623.653i 0.395527 1.09798i
\(569\) 129.572 + 651.400i 0.227718 + 1.14482i 0.910282 + 0.413989i \(0.135865\pi\)
−0.682564 + 0.730826i \(0.739135\pi\)
\(570\) 274.254 + 78.5299i 0.481148 + 0.137772i
\(571\) 168.344 + 51.0665i 0.294822 + 0.0894334i 0.434231 0.900802i \(-0.357020\pi\)
−0.139409 + 0.990235i \(0.544520\pi\)
\(572\) 255.102 7.98545i 0.445982 0.0139606i
\(573\) 141.230 115.905i 0.246475 0.202277i
\(574\) 6.85992 4.74056i 0.0119511 0.00825881i
\(575\) −517.823 −0.900561
\(576\) 436.333 130.316i 0.757522 0.226242i
\(577\) 784.680i 1.35993i 0.733244 + 0.679966i \(0.238005\pi\)
−0.733244 + 0.679966i \(0.761995\pi\)
\(578\) −234.127 + 161.794i −0.405063 + 0.279920i
\(579\) −263.610 321.210i −0.455285 0.554766i
\(580\) 729.812 776.979i 1.25830 1.33962i
\(581\) 31.2157 102.904i 0.0537275 0.177116i
\(582\) 420.037 + 120.273i 0.721713 + 0.206655i
\(583\) 97.3409 19.3623i 0.166965 0.0332115i
\(584\) −410.269 + 450.713i −0.702516 + 0.771768i
\(585\) −377.270 75.0437i −0.644906 0.128280i
\(586\) 705.382 226.086i 1.20372 0.385812i
\(587\) 850.682 83.7849i 1.44920 0.142734i 0.657414 0.753529i \(-0.271650\pi\)
0.791789 + 0.610795i \(0.209150\pi\)
\(588\) −148.977 + 130.273i −0.253363 + 0.221552i
\(589\) 142.392 43.1941i 0.241752 0.0733346i
\(590\) 1041.69 1074.81i 1.76557 1.82170i
\(591\) 39.5408 + 95.4598i 0.0669048 + 0.161523i
\(592\) 142.199 602.056i 0.240202 1.01699i
\(593\) 716.905 + 296.952i 1.20895 + 0.500762i 0.893879 0.448308i \(-0.147973\pi\)
0.315066 + 0.949070i \(0.397973\pi\)
\(594\) −141.166 326.270i −0.237653 0.549276i
\(595\) 448.862 + 239.922i 0.754390 + 0.403230i
\(596\) 300.994 + 523.066i 0.505024 + 0.877627i
\(597\) 135.839 165.520i 0.227535 0.277253i
\(598\) 294.104 249.167i 0.491813 0.416667i
\(599\) 451.850 + 676.241i 0.754340 + 1.12895i 0.987670 + 0.156552i \(0.0500378\pi\)
−0.233330 + 0.972398i \(0.574962\pi\)
\(600\) −100.652 + 211.633i −0.167753 + 0.352722i
\(601\) −234.584 + 351.080i −0.390323 + 0.584160i −0.973642 0.228084i \(-0.926754\pi\)
0.583318 + 0.812244i \(0.301754\pi\)
\(602\) −434.824 345.608i −0.722298 0.574100i
\(603\) −257.502 + 137.637i −0.427034 + 0.228254i
\(604\) −696.266 + 161.295i −1.15276 + 0.267045i
\(605\) −382.418 37.6649i −0.632096 0.0622560i
\(606\) −394.082 254.490i −0.650301 0.419951i
\(607\) 239.601 239.601i 0.394730 0.394730i −0.481640 0.876369i \(-0.659959\pi\)
0.876369 + 0.481640i \(0.159959\pi\)
\(608\) −85.7144 480.840i −0.140978 0.790855i
\(609\) −136.823 + 136.823i −0.224669 + 0.224669i
\(610\) 140.931 + 654.793i 0.231035 + 1.07343i
\(611\) −171.322 16.8738i −0.280397 0.0276167i
\(612\) −343.597 480.942i −0.561433 0.785853i
\(613\) 334.146 178.605i 0.545099 0.291362i −0.175772 0.984431i \(-0.556242\pi\)
0.720871 + 0.693069i \(0.243742\pi\)
\(614\) −92.0670 + 10.5247i −0.149946 + 0.0171411i
\(615\) 6.01260 8.99850i 0.00977659 0.0146317i
\(616\) 56.7079 224.345i 0.0920583 0.364196i
\(617\) 566.485 + 847.804i 0.918127 + 1.37407i 0.927381 + 0.374118i \(0.122054\pi\)
−0.00925385 + 0.999957i \(0.502946\pi\)
\(618\) 40.2148 + 3.32642i 0.0650726 + 0.00538256i
\(619\) 335.615 408.948i 0.542188 0.660658i −0.427782 0.903882i \(-0.640705\pi\)
0.969970 + 0.243224i \(0.0782049\pi\)
\(620\) 34.2713 + 263.229i 0.0552764 + 0.424563i
\(621\) −473.505 253.094i −0.762488 0.407558i
\(622\) 537.394 + 212.808i 0.863977 + 0.342134i
\(623\) 261.715 + 108.406i 0.420088 + 0.174006i
\(624\) −44.6674 168.632i −0.0715824 0.270243i
\(625\) −269.082 649.621i −0.430531 1.03939i
\(626\) 554.000 8.66880i 0.884984 0.0138479i
\(627\) −161.101 + 48.8696i −0.256940 + 0.0779419i
\(628\) −88.3229 + 178.456i −0.140642 + 0.284166i
\(629\) −799.091 + 78.7036i −1.27042 + 0.125125i
\(630\) −159.568 + 310.107i −0.253283 + 0.492233i
\(631\) −218.287 43.4200i −0.345938 0.0688114i 0.0190633 0.999818i \(-0.493932\pi\)
−0.365002 + 0.931007i \(0.618932\pi\)
\(632\) −668.135 100.576i −1.05718 0.159139i
\(633\) −63.9988 + 12.7302i −0.101104 + 0.0201108i
\(634\) 177.358 + 319.679i 0.279744 + 0.504226i
\(635\) 266.128 877.308i 0.419100 1.38159i
\(636\) −27.9078 61.8292i −0.0438802 0.0972157i
\(637\) −181.570 221.244i −0.285039 0.347321i
\(638\) −113.058 + 618.828i −0.177206 + 0.969950i
\(639\) 589.575i 0.922653i
\(640\) 871.263 9.88917i 1.36135 0.0154518i
\(641\) 779.310 1.21577 0.607886 0.794024i \(-0.292018\pi\)
0.607886 + 0.794024i \(0.292018\pi\)
\(642\) 25.5753 + 4.67251i 0.0398369 + 0.00727805i
\(643\) −349.448 + 286.785i −0.543465 + 0.446010i −0.865638 0.500671i \(-0.833087\pi\)
0.322173 + 0.946681i \(0.395587\pi\)
\(644\) −143.776 318.534i −0.223255 0.494618i
\(645\) −689.855 209.265i −1.06954 0.324442i
\(646\) −554.358 + 307.557i −0.858139 + 0.476095i
\(647\) 179.142 + 900.608i 0.276881 + 1.39197i 0.829484 + 0.558530i \(0.188635\pi\)
−0.552603 + 0.833445i \(0.686365\pi\)
\(648\) 216.661 159.967i 0.334354 0.246862i
\(649\) −172.322 + 866.319i −0.265519 + 1.33485i
\(650\) −301.364 155.070i −0.463637 0.238569i
\(651\) −4.72293 47.9527i −0.00725488 0.0736601i
\(652\) 27.9392 56.4511i 0.0428515 0.0865815i
\(653\) 137.846 + 454.417i 0.211096 + 0.695891i 0.996990 + 0.0775297i \(0.0247033\pi\)
−0.785894 + 0.618362i \(0.787797\pi\)
\(654\) 8.20631 + 524.443i 0.0125479 + 0.801901i
\(655\) −1488.14 + 616.409i −2.27198 + 0.941083i
\(656\) −18.3635 2.47113i −0.0279931 0.00376696i
\(657\) −207.443 + 500.812i −0.315743 + 0.762271i
\(658\) −57.4661 + 145.117i −0.0873345 + 0.220542i
\(659\) 558.356 1044.61i 0.847278 1.58515i 0.0368397 0.999321i \(-0.488271\pi\)
0.810438 0.585824i \(-0.199229\pi\)
\(660\) −38.7744 297.816i −0.0587491 0.451237i
\(661\) −775.881 636.749i −1.17380 0.963311i −0.174028 0.984741i \(-0.555678\pi\)
−0.999770 + 0.0214293i \(0.993178\pi\)
\(662\) 13.0446 157.702i 0.0197048 0.238221i
\(663\) −188.269 + 125.797i −0.283965 + 0.189739i
\(664\) −205.219 + 122.405i −0.309065 + 0.184345i
\(665\) 311.018 + 207.816i 0.467696 + 0.312505i
\(666\) −62.4901 546.647i −0.0938290 0.820792i
\(667\) 447.860 + 837.887i 0.671454 + 1.25620i
\(668\) 12.7768 + 17.8840i 0.0191269 + 0.0267725i
\(669\) −26.1841 + 265.852i −0.0391392 + 0.397387i
\(670\) −546.164 + 117.551i −0.815170 + 0.175449i
\(671\) −279.493 279.493i −0.416533 0.416533i
\(672\) −158.131 3.15400i −0.235314 0.00469345i
\(673\) −445.900 445.900i −0.662556 0.662556i 0.293426 0.955982i \(-0.405205\pi\)
−0.955982 + 0.293426i \(0.905205\pi\)
\(674\) −160.793 + 248.991i −0.238566 + 0.369423i
\(675\) −46.2714 + 469.801i −0.0685502 + 0.696002i
\(676\) −412.779 + 95.6236i −0.610620 + 0.141455i
\(677\) −202.167 378.228i −0.298622 0.558682i 0.687202 0.726466i \(-0.258839\pi\)
−0.985824 + 0.167784i \(0.946339\pi\)
\(678\) −145.366 + 182.890i −0.214403 + 0.269750i
\(679\) 476.343 + 318.282i 0.701535 + 0.468751i
\(680\) −378.719 1065.66i −0.556939 1.56715i
\(681\) −43.3561 + 28.9696i −0.0636654 + 0.0425398i
\(682\) −101.261 119.523i −0.148476 0.175254i
\(683\) 166.214 + 136.408i 0.243359 + 0.199719i 0.748164 0.663514i \(-0.230936\pi\)
−0.504805 + 0.863233i \(0.668436\pi\)
\(684\) −216.664 376.517i −0.316760 0.550463i
\(685\) −154.138 + 288.372i −0.225019 + 0.420981i
\(686\) −561.968 + 243.144i −0.819196 + 0.354438i
\(687\) 2.18373 5.27199i 0.00317865 0.00767393i
\(688\) 197.564 + 1218.33i 0.287157 + 1.77083i
\(689\) 90.6378 37.5434i 0.131550 0.0544897i
\(690\) −325.709 315.673i −0.472042 0.457497i
\(691\) 209.560 + 690.828i 0.303271 + 0.999751i 0.967638 + 0.252344i \(0.0812014\pi\)
−0.664367 + 0.747407i \(0.731299\pi\)
\(692\) −477.890 + 417.889i −0.690593 + 0.603886i
\(693\) −20.1729 204.819i −0.0291095 0.295554i
\(694\) 378.160 + 1179.85i 0.544900 + 1.70007i
\(695\) −162.439 + 816.634i −0.233725 + 1.17501i
\(696\) 429.496 20.1750i 0.617091 0.0289870i
\(697\) 4.69197 + 23.5881i 0.00673166 + 0.0338424i
\(698\) 199.518 696.786i 0.285842 0.998261i
\(699\) −378.280 114.750i −0.541173 0.164163i
\(700\) −210.376 + 223.973i −0.300538 + 0.319961i
\(701\) 399.966 328.243i 0.570564 0.468250i −0.304328 0.952567i \(-0.598432\pi\)
0.874892 + 0.484317i \(0.160932\pi\)
\(702\) −199.779 289.095i −0.284586 0.411816i
\(703\) −590.131 −0.839447
\(704\) −428.760 + 283.831i −0.609034 + 0.403169i
\(705\) 202.574i 0.287338i
\(706\) −511.314 739.907i −0.724240 1.04803i
\(707\) −390.219 475.484i −0.551937 0.672537i
\(708\) 603.433 18.8892i 0.852306 0.0266797i
\(709\) 237.034 781.396i 0.334322 1.10211i −0.615190 0.788379i \(-0.710921\pi\)
0.949512 0.313732i \(-0.101579\pi\)
\(710\) 310.538 1084.51i 0.437378 1.52748i
\(711\) −589.394 + 117.238i −0.828964 + 0.164891i
\(712\) −267.910 569.610i −0.376278 0.800014i
\(713\) −232.040 46.1557i −0.325442 0.0647345i
\(714\) 62.6592 + 195.495i 0.0877580 + 0.273802i
\(715\) 432.252 42.5731i 0.604549 0.0595428i
\(716\) −58.4263 + 872.270i −0.0816010 + 1.21825i
\(717\) 590.152 179.021i 0.823085 0.249680i
\(718\) −524.960 508.785i −0.731143 0.708614i
\(719\) −358.317 865.054i −0.498355 1.20313i −0.950369 0.311124i \(-0.899294\pi\)
0.452015 0.892011i \(-0.350706\pi\)
\(720\) 726.068 270.901i 1.00843 0.376251i
\(721\) 48.8828 + 20.2479i 0.0677987 + 0.0280831i
\(722\) 235.019 101.685i 0.325512 0.140838i
\(723\) −572.624 306.074i −0.792010 0.423338i
\(724\) 292.555 1085.61i 0.404082 1.49946i
\(725\) 529.944 645.739i 0.730957 0.890674i
\(726\) −100.191 118.261i −0.138004 0.162894i
\(727\) −555.967 832.064i −0.764742 1.14452i −0.985581 0.169207i \(-0.945879\pi\)
0.220838 0.975310i \(-0.429121\pi\)
\(728\) 11.7144 228.438i 0.0160912 0.313788i
\(729\) −18.7914 + 28.1234i −0.0257770 + 0.0385780i
\(730\) −645.372 + 811.968i −0.884071 + 1.11229i
\(731\) 1412.86 755.188i 1.93277 1.03309i
\(732\) −142.992 + 229.218i −0.195345 + 0.313139i
\(733\) 435.252 + 42.8686i 0.593795 + 0.0584837i 0.390451 0.920624i \(-0.372319\pi\)
0.203344 + 0.979107i \(0.434819\pi\)
\(734\) 497.989 771.144i 0.678458 1.05060i
\(735\) −238.146 + 238.146i −0.324008 + 0.324008i
\(736\) −240.202 + 738.492i −0.326361 + 1.00339i
\(737\) 233.126 233.126i 0.316317 0.316317i
\(738\) −16.1109 + 3.46755i −0.0218305 + 0.00469858i
\(739\) 958.815 + 94.4350i 1.29745 + 0.127788i 0.723054 0.690791i \(-0.242738\pi\)
0.574395 + 0.818579i \(0.305238\pi\)
\(740\) 172.978 1038.46i 0.233755 1.40332i
\(741\) −146.763 + 78.4466i −0.198061 + 0.105866i
\(742\) −10.1022 88.3718i −0.0136149 0.119099i
\(743\) −214.897 + 321.616i −0.289228 + 0.432861i −0.947421 0.319988i \(-0.896321\pi\)
0.658193 + 0.752849i \(0.271321\pi\)
\(744\) −63.9666 + 85.8629i −0.0859766 + 0.115407i
\(745\) 570.576 + 853.927i 0.765874 + 1.14621i
\(746\) 6.38318 77.1696i 0.00855654 0.103445i
\(747\) −134.825 + 164.285i −0.180489 + 0.219926i
\(748\) 528.912 + 407.053i 0.707101 + 0.544188i
\(749\) 30.0645 + 16.0698i 0.0401395 + 0.0214550i
\(750\) 25.2019 63.6413i 0.0336025 0.0848551i
\(751\) 59.4811 + 24.6379i 0.0792026 + 0.0328068i 0.421933 0.906627i \(-0.361352\pi\)
−0.342730 + 0.939434i \(0.611352\pi\)
\(752\) 311.496 152.505i 0.414224 0.202800i
\(753\) 210.074 + 507.162i 0.278982 + 0.673522i