Properties

Label 29.3.f.a.2.1
Level 29
Weight 3
Character 29.2
Analytic conductor 0.790
Analytic rank 0
Dimension 48
CM No

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Newspace parameters

Level: \( N \) = \( 29 \)
Weight: \( k \) = \( 3 \)
Character orbit: \([\chi]\) = 29.f (of order \(28\) and degree \(12\))

Newform invariants

Self dual: No
Analytic conductor: \(0.790192766645\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(4\) over \(\Q(\zeta_{28})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label 2.1
Character \(\chi\) = 29.2
Dual form 29.3.f.a.15.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.56136 - 0.401269i) q^{2} +(1.78374 + 1.12080i) q^{3} +(8.62256 + 1.96804i) q^{4} +(5.24106 - 4.17960i) q^{5} +(-5.90279 - 4.70732i) q^{6} +(2.11977 + 9.28734i) q^{7} +(-16.3872 - 5.73413i) q^{8} +(-1.97942 - 4.11031i) q^{9} +O(q^{10})\) \(q+(-3.56136 - 0.401269i) q^{2} +(1.78374 + 1.12080i) q^{3} +(8.62256 + 1.96804i) q^{4} +(5.24106 - 4.17960i) q^{5} +(-5.90279 - 4.70732i) q^{6} +(2.11977 + 9.28734i) q^{7} +(-16.3872 - 5.73413i) q^{8} +(-1.97942 - 4.11031i) q^{9} +(-20.3424 + 12.7820i) q^{10} +(-0.700768 + 0.245209i) q^{11} +(13.1746 + 13.1746i) q^{12} +(3.39382 - 7.04735i) q^{13} +(-3.82256 - 33.9262i) q^{14} +(14.0331 - 1.58116i) q^{15} +(24.1861 + 11.6474i) q^{16} +(-17.4730 + 17.4730i) q^{17} +(5.40009 + 15.4326i) q^{18} +(-7.96846 - 12.6817i) q^{19} +(53.4169 - 25.7242i) q^{20} +(-6.62809 + 18.9420i) q^{21} +(2.59408 - 0.592082i) q^{22} +(-11.9732 + 15.0139i) q^{23} +(-22.8037 - 28.5949i) q^{24} +(4.43656 - 19.4379i) q^{25} +(-14.9145 + 23.7363i) q^{26} +(3.19887 - 28.3907i) q^{27} +84.2524i q^{28} +(-19.7681 - 21.2184i) q^{29} -50.6115 q^{30} +(0.327624 + 0.0369143i) q^{31} +(-22.6600 - 14.2382i) q^{32} +(-1.52481 - 0.348029i) q^{33} +(69.2390 - 55.2162i) q^{34} +(49.9272 + 39.8156i) q^{35} +(-8.97841 - 39.3370i) q^{36} +(-15.2693 - 5.34296i) q^{37} +(23.2898 + 48.3617i) q^{38} +(13.9523 - 8.76682i) q^{39} +(-109.853 + 38.4391i) q^{40} +(28.0484 + 28.0484i) q^{41} +(31.2059 - 64.7996i) q^{42} +(0.679170 + 6.02780i) q^{43} +(-6.52499 + 0.735190i) q^{44} +(-27.5537 - 13.2692i) q^{45} +(48.6656 - 48.6656i) q^{46} +(1.43620 + 4.10443i) q^{47} +(30.0872 + 47.8835i) q^{48} +(-37.6137 + 18.1138i) q^{49} +(-23.6000 + 67.4450i) q^{50} +(-50.7508 + 11.5835i) q^{51} +(43.1329 - 54.0870i) q^{52} +(-37.6082 - 47.1592i) q^{53} +(-22.7846 + 99.8260i) q^{54} +(-2.64789 + 4.21408i) q^{55} +(18.5176 - 164.349i) q^{56} -31.5519i q^{57} +(61.8871 + 83.4988i) q^{58} +91.1542 q^{59} +(124.113 + 13.9842i) q^{60} +(6.43745 + 4.04492i) q^{61} +(-1.15197 - 0.262930i) q^{62} +(33.9779 - 27.0965i) q^{63} +(-8.96447 - 7.14893i) q^{64} +(-11.6679 - 51.1204i) q^{65} +(5.29076 + 1.85132i) q^{66} +(29.8663 + 62.0180i) q^{67} +(-185.049 + 116.274i) q^{68} +(-38.1846 + 13.3614i) q^{69} +(-161.832 - 161.832i) q^{70} +(-38.1572 + 79.2343i) q^{71} +(8.86813 + 78.7068i) q^{72} +(-29.1293 + 3.28209i) q^{73} +(52.2355 + 25.1553i) q^{74} +(29.6995 - 29.6995i) q^{75} +(-43.7503 - 125.031i) q^{76} +(-3.76281 - 5.98848i) q^{77} +(-53.2071 + 25.6232i) q^{78} +(7.28322 - 20.8142i) q^{79} +(175.442 - 40.0435i) q^{80} +(11.9263 - 14.9551i) q^{81} +(-88.6354 - 111.145i) q^{82} +(9.19165 - 40.2713i) q^{83} +(-94.4297 + 150.284i) q^{84} +(-18.5468 + 164.607i) q^{85} -21.7397i q^{86} +(-11.4796 - 60.0041i) q^{87} +12.8897 q^{88} +(98.0089 + 11.0429i) q^{89} +(92.8042 + 58.3128i) q^{90} +(72.6452 + 16.5808i) q^{91} +(-132.788 + 105.895i) q^{92} +(0.543021 + 0.433045i) q^{93} +(-3.46785 - 15.1936i) q^{94} +(-94.7678 - 33.1607i) q^{95} +(-24.4613 - 50.7944i) q^{96} +(136.891 - 86.0143i) q^{97} +(141.224 - 49.4166i) q^{98} +(2.39500 + 2.39500i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 16q^{2} - 12q^{3} - 14q^{4} - 14q^{5} - 14q^{6} - 10q^{7} + 28q^{8} - 14q^{9} + O(q^{10}) \) \( 48q - 16q^{2} - 12q^{3} - 14q^{4} - 14q^{5} - 14q^{6} - 10q^{7} + 28q^{8} - 14q^{9} - 20q^{10} - 8q^{11} - 68q^{12} - 14q^{13} + 26q^{14} - 4q^{15} + 18q^{16} - 26q^{17} - 34q^{18} + 2q^{19} + 46q^{20} + 218q^{21} + 154q^{22} + 56q^{23} + 154q^{24} - 34q^{25} + 110q^{26} + 126q^{27} - 170q^{29} + 24q^{30} - 88q^{31} - 132q^{32} - 224q^{33} - 224q^{34} - 210q^{35} - 434q^{36} - 56q^{37} - 294q^{38} - 232q^{39} - 492q^{40} - 34q^{41} - 14q^{42} + 176q^{43} + 126q^{44} + 114q^{45} + 744q^{46} + 208q^{47} + 640q^{48} + 506q^{49} + 732q^{50} + 322q^{51} + 690q^{52} - 14q^{53} - 36q^{54} + 284q^{55} + 332q^{56} - 508q^{58} - 44q^{59} - 316q^{60} - 30q^{61} - 504q^{62} - 686q^{63} - 896q^{64} - 554q^{65} - 608q^{66} - 574q^{67} - 796q^{68} - 806q^{69} - 1066q^{70} + 224q^{71} + 748q^{72} - 22q^{73} + 820q^{74} + 768q^{75} + 514q^{76} + 436q^{77} + 282q^{78} + 564q^{79} + 1162q^{80} + 670q^{81} - 18q^{82} - 126q^{83} + 572q^{84} + 38q^{85} - 118q^{87} - 384q^{88} - 160q^{89} - 828q^{90} - 434q^{91} - 1022q^{92} - 406q^{93} - 2q^{94} - 642q^{95} - 1176q^{96} + 604q^{97} - 102q^{98} + 316q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{28}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.56136 0.401269i −1.78068 0.200634i −0.840616 0.541632i \(-0.817807\pi\)
−0.940064 + 0.340997i \(0.889235\pi\)
\(3\) 1.78374 + 1.12080i 0.594579 + 0.373599i 0.795450 0.606019i \(-0.207234\pi\)
−0.200871 + 0.979618i \(0.564377\pi\)
\(4\) 8.62256 + 1.96804i 2.15564 + 0.492011i
\(5\) 5.24106 4.17960i 1.04821 0.835920i 0.0614515 0.998110i \(-0.480427\pi\)
0.986760 + 0.162190i \(0.0518556\pi\)
\(6\) −5.90279 4.70732i −0.983798 0.784553i
\(7\) 2.11977 + 9.28734i 0.302825 + 1.32676i 0.865842 + 0.500317i \(0.166783\pi\)
−0.563017 + 0.826445i \(0.690360\pi\)
\(8\) −16.3872 5.73413i −2.04840 0.716766i
\(9\) −1.97942 4.11031i −0.219936 0.456701i
\(10\) −20.3424 + 12.7820i −2.03424 + 1.27820i
\(11\) −0.700768 + 0.245209i −0.0637061 + 0.0222917i −0.361944 0.932200i \(-0.617887\pi\)
0.298238 + 0.954492i \(0.403601\pi\)
\(12\) 13.1746 + 13.1746i 1.09788 + 1.09788i
\(13\) 3.39382 7.04735i 0.261063 0.542104i −0.728698 0.684835i \(-0.759874\pi\)
0.989761 + 0.142731i \(0.0455885\pi\)
\(14\) −3.82256 33.9262i −0.273040 2.42330i
\(15\) 14.0331 1.58116i 0.935543 0.105410i
\(16\) 24.1861 + 11.6474i 1.51163 + 0.727962i
\(17\) −17.4730 + 17.4730i −1.02782 + 1.02782i −0.0282209 + 0.999602i \(0.508984\pi\)
−0.999602 + 0.0282209i \(0.991016\pi\)
\(18\) 5.40009 + 15.4326i 0.300005 + 0.857366i
\(19\) −7.96846 12.6817i −0.419393 0.667460i 0.568485 0.822694i \(-0.307530\pi\)
−0.987878 + 0.155234i \(0.950387\pi\)
\(20\) 53.4169 25.7242i 2.67085 1.28621i
\(21\) −6.62809 + 18.9420i −0.315623 + 0.902000i
\(22\) 2.59408 0.592082i 0.117913 0.0269128i
\(23\) −11.9732 + 15.0139i −0.520575 + 0.652780i −0.970731 0.240170i \(-0.922797\pi\)
0.450156 + 0.892950i \(0.351368\pi\)
\(24\) −22.8037 28.5949i −0.950153 1.19145i
\(25\) 4.43656 19.4379i 0.177463 0.777514i
\(26\) −14.9145 + 23.7363i −0.573635 + 0.912935i
\(27\) 3.19887 28.3907i 0.118476 1.05151i
\(28\) 84.2524i 3.00901i
\(29\) −19.7681 21.2184i −0.681659 0.731670i
\(30\) −50.6115 −1.68705
\(31\) 0.327624 + 0.0369143i 0.0105685 + 0.00119078i 0.117247 0.993103i \(-0.462593\pi\)
−0.106679 + 0.994294i \(0.534022\pi\)
\(32\) −22.6600 14.2382i −0.708124 0.444944i
\(33\) −1.52481 0.348029i −0.0462065 0.0105463i
\(34\) 69.2390 55.2162i 2.03644 1.62401i
\(35\) 49.9272 + 39.8156i 1.42649 + 1.13759i
\(36\) −8.97841 39.3370i −0.249400 1.09269i
\(37\) −15.2693 5.34296i −0.412684 0.144404i 0.115949 0.993255i \(-0.463009\pi\)
−0.528632 + 0.848851i \(0.677295\pi\)
\(38\) 23.2898 + 48.3617i 0.612889 + 1.27268i
\(39\) 13.9523 8.76682i 0.357752 0.224790i
\(40\) −109.853 + 38.4391i −2.74632 + 0.960978i
\(41\) 28.0484 + 28.0484i 0.684106 + 0.684106i 0.960923 0.276816i \(-0.0892794\pi\)
−0.276816 + 0.960923i \(0.589279\pi\)
\(42\) 31.2059 64.7996i 0.742996 1.54285i
\(43\) 0.679170 + 6.02780i 0.0157947 + 0.140181i 0.999135 0.0415949i \(-0.0132439\pi\)
−0.983340 + 0.181776i \(0.941815\pi\)
\(44\) −6.52499 + 0.735190i −0.148295 + 0.0167089i
\(45\) −27.5537 13.2692i −0.612305 0.294871i
\(46\) 48.6656 48.6656i 1.05795 1.05795i
\(47\) 1.43620 + 4.10443i 0.0305575 + 0.0873282i 0.958152 0.286261i \(-0.0924126\pi\)
−0.927594 + 0.373590i \(0.878127\pi\)
\(48\) 30.0872 + 47.8835i 0.626817 + 0.997573i
\(49\) −37.6137 + 18.1138i −0.767627 + 0.369670i
\(50\) −23.6000 + 67.4450i −0.472000 + 1.34890i
\(51\) −50.7508 + 11.5835i −0.995115 + 0.227128i
\(52\) 43.1329 54.0870i 0.829479 1.04013i
\(53\) −37.6082 47.1592i −0.709589 0.889797i 0.288110 0.957597i \(-0.406973\pi\)
−0.997699 + 0.0678006i \(0.978402\pi\)
\(54\) −22.7846 + 99.8260i −0.421937 + 1.84863i
\(55\) −2.64789 + 4.21408i −0.0481434 + 0.0766197i
\(56\) 18.5176 164.349i 0.330672 2.93480i
\(57\) 31.5519i 0.553542i
\(58\) 61.8871 + 83.4988i 1.06702 + 1.43963i
\(59\) 91.1542 1.54499 0.772493 0.635023i \(-0.219009\pi\)
0.772493 + 0.635023i \(0.219009\pi\)
\(60\) 124.113 + 13.9842i 2.06856 + 0.233070i
\(61\) 6.43745 + 4.04492i 0.105532 + 0.0663101i 0.583764 0.811923i \(-0.301579\pi\)
−0.478232 + 0.878234i \(0.658722\pi\)
\(62\) −1.15197 0.262930i −0.0185802 0.00424081i
\(63\) 33.9779 27.0965i 0.539332 0.430103i
\(64\) −8.96447 7.14893i −0.140070 0.111702i
\(65\) −11.6679 51.1204i −0.179506 0.786467i
\(66\) 5.29076 + 1.85132i 0.0801630 + 0.0280503i
\(67\) 29.8663 + 62.0180i 0.445766 + 0.925642i 0.995891 + 0.0905598i \(0.0288656\pi\)
−0.550125 + 0.835082i \(0.685420\pi\)
\(68\) −185.049 + 116.274i −2.72131 + 1.70992i
\(69\) −38.1846 + 13.3614i −0.553401 + 0.193643i
\(70\) −161.832 161.832i −2.31189 2.31189i
\(71\) −38.1572 + 79.2343i −0.537426 + 1.11598i 0.438672 + 0.898647i \(0.355449\pi\)
−0.976098 + 0.217329i \(0.930265\pi\)
\(72\) 8.86813 + 78.7068i 0.123168 + 1.09315i
\(73\) −29.1293 + 3.28209i −0.399032 + 0.0449601i −0.309200 0.950997i \(-0.600061\pi\)
−0.0898315 + 0.995957i \(0.528633\pi\)
\(74\) 52.2355 + 25.1553i 0.705885 + 0.339936i
\(75\) 29.6995 29.6995i 0.395994 0.395994i
\(76\) −43.7503 125.031i −0.575662 1.64515i
\(77\) −3.76281 5.98848i −0.0488677 0.0777724i
\(78\) −53.2071 + 25.6232i −0.682142 + 0.328502i
\(79\) 7.28322 20.8142i 0.0921927 0.263472i −0.888549 0.458782i \(-0.848286\pi\)
0.980741 + 0.195311i \(0.0625715\pi\)
\(80\) 175.442 40.0435i 2.19302 0.500543i
\(81\) 11.9263 14.9551i 0.147238 0.184631i
\(82\) −88.6354 111.145i −1.08092 1.35543i
\(83\) 9.19165 40.2713i 0.110743 0.485196i −0.888891 0.458120i \(-0.848523\pi\)
0.999633 0.0270764i \(-0.00861974\pi\)
\(84\) −94.4297 + 150.284i −1.12416 + 1.78910i
\(85\) −18.5468 + 164.607i −0.218197 + 1.93655i
\(86\) 21.7397i 0.252787i
\(87\) −11.4796 60.0041i −0.131949 0.689702i
\(88\) 12.8897 0.146474
\(89\) 98.0089 + 11.0429i 1.10122 + 0.124078i 0.643817 0.765180i \(-0.277350\pi\)
0.457407 + 0.889258i \(0.348778\pi\)
\(90\) 92.8042 + 58.3128i 1.03116 + 0.647920i
\(91\) 72.6452 + 16.5808i 0.798299 + 0.182207i
\(92\) −132.788 + 105.895i −1.44335 + 1.15103i
\(93\) 0.543021 + 0.433045i 0.00583893 + 0.00465639i
\(94\) −3.46785 15.1936i −0.0368920 0.161635i
\(95\) −94.7678 33.1607i −0.997556 0.349060i
\(96\) −24.4613 50.7944i −0.254805 0.529109i
\(97\) 136.891 86.0143i 1.41125 0.886745i 0.411551 0.911387i \(-0.364987\pi\)
0.999696 + 0.0246414i \(0.00784441\pi\)
\(98\) 141.224 49.4166i 1.44107 0.504251i
\(99\) 2.39500 + 2.39500i 0.0241919 + 0.0241919i
\(100\) 76.5091 158.873i 0.765091 1.58873i
\(101\) 0.930887 + 8.26185i 0.00921670 + 0.0818005i 0.997478 0.0709693i \(-0.0226092\pi\)
−0.988262 + 0.152770i \(0.951181\pi\)
\(102\) 185.390 20.8885i 1.81755 0.204789i
\(103\) −65.6998 31.6393i −0.637862 0.307178i 0.0868590 0.996221i \(-0.472317\pi\)
−0.724721 + 0.689043i \(0.758031\pi\)
\(104\) −96.0257 + 96.0257i −0.923324 + 0.923324i
\(105\) 44.4318 + 126.979i 0.423160 + 1.20932i
\(106\) 115.013 + 183.042i 1.08503 + 1.72681i
\(107\) −73.2735 + 35.2867i −0.684799 + 0.329782i −0.743730 0.668480i \(-0.766945\pi\)
0.0589308 + 0.998262i \(0.481231\pi\)
\(108\) 83.4565 238.505i 0.772746 2.20838i
\(109\) 119.739 27.3296i 1.09852 0.250730i 0.365415 0.930845i \(-0.380927\pi\)
0.733106 + 0.680114i \(0.238070\pi\)
\(110\) 11.1211 13.9454i 0.101100 0.126776i
\(111\) −21.2480 26.6442i −0.191424 0.240038i
\(112\) −56.9043 + 249.314i −0.508074 + 2.22602i
\(113\) 84.5371 134.540i 0.748116 1.19062i −0.228062 0.973647i \(-0.573239\pi\)
0.976178 0.216973i \(-0.0696182\pi\)
\(114\) −12.6608 + 112.368i −0.111060 + 0.985681i
\(115\) 128.732i 1.11941i
\(116\) −128.693 221.862i −1.10942 1.91260i
\(117\) −35.6846 −0.304997
\(118\) −324.633 36.5773i −2.75113 0.309977i
\(119\) −199.316 125.239i −1.67493 1.05243i
\(120\) −239.031 54.5572i −1.99192 0.454643i
\(121\) −94.1707 + 75.0986i −0.778270 + 0.620650i
\(122\) −21.3030 16.9886i −0.174615 0.139250i
\(123\) 18.5944 + 81.4674i 0.151174 + 0.662336i
\(124\) 2.75231 + 0.963073i 0.0221960 + 0.00776672i
\(125\) 14.7239 + 30.5745i 0.117791 + 0.244596i
\(126\) −131.881 + 82.8661i −1.04667 + 0.657667i
\(127\) 91.0577 31.8625i 0.716990 0.250886i 0.0529652 0.998596i \(-0.483133\pi\)
0.664025 + 0.747711i \(0.268847\pi\)
\(128\) 104.751 + 104.751i 0.818369 + 0.818369i
\(129\) −5.54447 + 11.5132i −0.0429804 + 0.0892498i
\(130\) 21.0405 + 186.740i 0.161850 + 1.43646i
\(131\) 75.6558 8.52436i 0.577525 0.0650714i 0.181630 0.983367i \(-0.441863\pi\)
0.395895 + 0.918296i \(0.370434\pi\)
\(132\) −12.4629 6.00180i −0.0944156 0.0454682i
\(133\) 100.888 100.888i 0.758558 0.758558i
\(134\) −81.4787 232.853i −0.608050 1.73771i
\(135\) −101.896 162.167i −0.754789 1.20124i
\(136\) 386.526 186.141i 2.84210 1.36868i
\(137\) −50.4454 + 144.165i −0.368215 + 1.05230i 0.599528 + 0.800354i \(0.295355\pi\)
−0.967742 + 0.251943i \(0.918931\pi\)
\(138\) 141.351 32.2624i 1.02428 0.233785i
\(139\) −84.2699 + 105.671i −0.606258 + 0.760224i −0.986339 0.164729i \(-0.947325\pi\)
0.380080 + 0.924953i \(0.375896\pi\)
\(140\) 352.142 + 441.572i 2.51530 + 3.15408i
\(141\) −2.03842 + 8.93090i −0.0144569 + 0.0633398i
\(142\) 167.686 266.871i 1.18089 1.87937i
\(143\) −0.650207 + 5.77075i −0.00454690 + 0.0403549i
\(144\) 122.467i 0.850467i
\(145\) −192.290 28.5841i −1.32614 0.197132i
\(146\) 105.057 0.719569
\(147\) −87.3948 9.84703i −0.594523 0.0669866i
\(148\) −121.145 76.1206i −0.818549 0.514328i
\(149\) 58.0928 + 13.2593i 0.389885 + 0.0889886i 0.412969 0.910745i \(-0.364492\pi\)
−0.0230848 + 0.999734i \(0.507349\pi\)
\(150\) −117.688 + 93.8532i −0.784588 + 0.625688i
\(151\) −203.074 161.946i −1.34486 1.07249i −0.990519 0.137373i \(-0.956134\pi\)
−0.354340 0.935117i \(-0.615294\pi\)
\(152\) 57.8621 + 253.510i 0.380672 + 1.66783i
\(153\) 106.406 + 37.2330i 0.695463 + 0.243353i
\(154\) 10.9977 + 22.8370i 0.0714138 + 0.148292i
\(155\) 1.87138 1.17587i 0.0120734 0.00758624i
\(156\) 137.558 48.1337i 0.881783 0.308549i
\(157\) −132.437 132.437i −0.843550 0.843550i 0.145769 0.989319i \(-0.453434\pi\)
−0.989319 + 0.145769i \(0.953434\pi\)
\(158\) −34.2903 + 71.2045i −0.217027 + 0.450661i
\(159\) −14.2273 126.271i −0.0894799 0.794156i
\(160\) −178.272 + 20.0865i −1.11420 + 0.125540i
\(161\) −164.820 79.3732i −1.02373 0.493001i
\(162\) −48.4749 + 48.4749i −0.299228 + 0.299228i
\(163\) 84.1241 + 240.413i 0.516098 + 1.47492i 0.847171 + 0.531320i \(0.178304\pi\)
−0.331073 + 0.943605i \(0.607411\pi\)
\(164\) 186.648 + 297.049i 1.13810 + 1.81127i
\(165\) −9.44626 + 4.54908i −0.0572500 + 0.0275702i
\(166\) −48.8944 + 139.732i −0.294545 + 0.841760i
\(167\) −37.5325 + 8.56655i −0.224746 + 0.0512967i −0.333411 0.942782i \(-0.608200\pi\)
0.108665 + 0.994078i \(0.465342\pi\)
\(168\) 217.232 272.400i 1.29305 1.62143i
\(169\) 67.2227 + 84.2946i 0.397768 + 0.498785i
\(170\) 132.103 578.783i 0.777079 3.40460i
\(171\) −36.3529 + 57.8554i −0.212590 + 0.338336i
\(172\) −6.00679 + 53.3117i −0.0349232 + 0.309952i
\(173\) 38.3828i 0.221866i 0.993828 + 0.110933i \(0.0353839\pi\)
−0.993828 + 0.110933i \(0.964616\pi\)
\(174\) 16.8052 + 218.303i 0.0965814 + 1.25461i
\(175\) 189.930 1.08532
\(176\) −19.8048 2.23147i −0.112528 0.0126788i
\(177\) 162.595 + 102.165i 0.918616 + 0.577205i
\(178\) −344.614 78.6558i −1.93603 0.441887i
\(179\) 136.077 108.518i 0.760206 0.606244i −0.164742 0.986337i \(-0.552679\pi\)
0.924949 + 0.380092i \(0.124108\pi\)
\(180\) −211.469 168.641i −1.17483 0.936895i
\(181\) 37.8882 + 165.999i 0.209327 + 0.917122i 0.965016 + 0.262191i \(0.0844451\pi\)
−0.755689 + 0.654931i \(0.772698\pi\)
\(182\) −252.062 88.2005i −1.38496 0.484618i
\(183\) 6.94919 + 14.4301i 0.0379737 + 0.0788532i
\(184\) 282.300 177.381i 1.53424 0.964025i
\(185\) −102.359 + 35.8168i −0.553290 + 0.193605i
\(186\) −1.76013 1.76013i −0.00946304 0.00946304i
\(187\) 7.95997 16.5290i 0.0425667 0.0883906i
\(188\) 4.30604 + 38.2172i 0.0229045 + 0.203283i
\(189\) 270.455 30.4730i 1.43098 0.161233i
\(190\) 324.196 + 156.124i 1.70629 + 0.821708i
\(191\) −20.1345 + 20.1345i −0.105416 + 0.105416i −0.757848 0.652431i \(-0.773749\pi\)
0.652431 + 0.757848i \(0.273749\pi\)
\(192\) −7.97777 22.7991i −0.0415509 0.118746i
\(193\) −157.961 251.393i −0.818449 1.30255i −0.950316 0.311287i \(-0.899240\pi\)
0.131867 0.991267i \(-0.457903\pi\)
\(194\) −522.033 + 251.398i −2.69089 + 1.29587i
\(195\) 36.4831 104.263i 0.187093 0.534680i
\(196\) −359.975 + 82.1620i −1.83661 + 0.419194i
\(197\) 152.105 190.734i 0.772108 0.968192i −0.227877 0.973690i \(-0.573178\pi\)
0.999985 + 0.00549749i \(0.00174991\pi\)
\(198\) −7.56842 9.49050i −0.0382243 0.0479318i
\(199\) −70.5672 + 309.175i −0.354609 + 1.55364i 0.411789 + 0.911279i \(0.364904\pi\)
−0.766399 + 0.642365i \(0.777953\pi\)
\(200\) −184.162 + 293.092i −0.920811 + 1.46546i
\(201\) −16.2359 + 144.098i −0.0807757 + 0.716904i
\(202\) 29.7970i 0.147510i
\(203\) 155.159 228.571i 0.764329 1.12597i
\(204\) −460.399 −2.25686
\(205\) 264.234 + 29.7720i 1.28895 + 0.145229i
\(206\) 221.285 + 139.042i 1.07420 + 0.674963i
\(207\) 85.4121 + 19.4947i 0.412619 + 0.0941775i
\(208\) 164.166 130.918i 0.789261 0.629415i
\(209\) 8.69372 + 6.93301i 0.0415967 + 0.0331723i
\(210\) −107.285 470.046i −0.510881 2.23832i
\(211\) 353.376 + 123.652i 1.67477 + 0.586027i 0.989789 0.142537i \(-0.0455259\pi\)
0.684978 + 0.728563i \(0.259812\pi\)
\(212\) −231.468 480.648i −1.09183 2.26721i
\(213\) −156.868 + 98.5667i −0.736469 + 0.462754i
\(214\) 275.113 96.2661i 1.28557 0.449842i
\(215\) 28.7534 + 28.7534i 0.133737 + 0.133737i
\(216\) −215.217 + 446.902i −0.996373 + 2.06899i
\(217\) 0.351652 + 3.12100i 0.00162052 + 0.0143825i
\(218\) −437.400 + 49.2831i −2.00642 + 0.226069i
\(219\) −55.6376 26.7937i −0.254053 0.122345i
\(220\) −31.1250 + 31.1250i −0.141477 + 0.141477i
\(221\) 63.8380 + 182.438i 0.288860 + 0.825513i
\(222\) 64.9804 + 103.416i 0.292704 + 0.465836i
\(223\) −249.428 + 120.118i −1.11851 + 0.538647i −0.899432 0.437061i \(-0.856020\pi\)
−0.219079 + 0.975707i \(0.570305\pi\)
\(224\) 84.2010 240.633i 0.375897 1.07425i
\(225\) −88.6775 + 20.2401i −0.394122 + 0.0899558i
\(226\) −355.054 + 445.223i −1.57103 + 1.97001i
\(227\) −163.809 205.410i −0.721624 0.904888i 0.276805 0.960926i \(-0.410724\pi\)
−0.998429 + 0.0560385i \(0.982153\pi\)
\(228\) 62.0955 272.058i 0.272349 1.19324i
\(229\) 164.093 261.153i 0.716564 1.14040i −0.267667 0.963512i \(-0.586253\pi\)
0.984230 0.176893i \(-0.0566046\pi\)
\(230\) 51.6562 458.462i 0.224592 1.99331i
\(231\) 14.8992i 0.0644987i
\(232\) 202.275 + 461.064i 0.871875 + 1.98734i
\(233\) 92.4111 0.396614 0.198307 0.980140i \(-0.436456\pi\)
0.198307 + 0.980140i \(0.436456\pi\)
\(234\) 127.086 + 14.3191i 0.543101 + 0.0611928i
\(235\) 24.6821 + 15.5088i 0.105030 + 0.0659948i
\(236\) 785.982 + 179.395i 3.33043 + 0.760150i
\(237\) 36.3199 28.9641i 0.153248 0.122212i
\(238\) 659.583 + 526.000i 2.77136 + 2.21008i
\(239\) −91.6570 401.575i −0.383502 1.68023i −0.686412 0.727213i \(-0.740815\pi\)
0.302910 0.953019i \(-0.402042\pi\)
\(240\) 357.823 + 125.208i 1.49093 + 0.521698i
\(241\) −53.8613 111.844i −0.223491 0.464084i 0.758830 0.651289i \(-0.225771\pi\)
−0.982321 + 0.187205i \(0.940057\pi\)
\(242\) 365.510 229.665i 1.51037 0.949031i
\(243\) −204.669 + 71.6167i −0.842258 + 0.294719i
\(244\) 47.5467 + 47.5467i 0.194864 + 0.194864i
\(245\) −121.427 + 252.146i −0.495621 + 1.02917i
\(246\) −33.5310 297.596i −0.136305 1.20974i
\(247\) −116.416 + 13.1169i −0.471320 + 0.0531051i
\(248\) −5.15717 2.48356i −0.0207950 0.0100144i
\(249\) 61.5314 61.5314i 0.247114 0.247114i
\(250\) −40.1686 114.795i −0.160674 0.459181i
\(251\) 17.8330 + 28.3810i 0.0710477 + 0.113072i 0.880358 0.474309i \(-0.157302\pi\)
−0.809311 + 0.587381i \(0.800159\pi\)
\(252\) 346.304 166.771i 1.37422 0.661790i
\(253\) 4.70889 13.4572i 0.0186122 0.0531906i
\(254\) −337.075 + 76.9351i −1.32707 + 0.302894i
\(255\) −217.573 + 272.828i −0.853229 + 1.06992i
\(256\) −302.428 379.233i −1.18136 1.48138i
\(257\) −60.1375 + 263.480i −0.233998 + 1.02521i 0.712289 + 0.701886i \(0.247658\pi\)
−0.946287 + 0.323327i \(0.895199\pi\)
\(258\) 24.3658 38.7779i 0.0944410 0.150302i
\(259\) 17.2544 153.137i 0.0666193 0.591262i
\(260\) 463.751i 1.78366i
\(261\) −48.0849 + 123.253i −0.184233 + 0.472235i
\(262\) −272.858 −1.04144
\(263\) 177.612 + 20.0120i 0.675329 + 0.0760914i 0.442967 0.896538i \(-0.353926\pi\)
0.232362 + 0.972629i \(0.425354\pi\)
\(264\) 22.9918 + 14.4467i 0.0870902 + 0.0547224i
\(265\) −394.214 89.9767i −1.48760 0.339535i
\(266\) −399.783 + 318.816i −1.50294 + 1.19856i
\(267\) 162.445 + 129.546i 0.608409 + 0.485190i
\(268\) 135.470 + 593.532i 0.505484 + 2.21467i
\(269\) −369.061 129.140i −1.37197 0.480074i −0.459124 0.888372i \(-0.651837\pi\)
−0.912849 + 0.408298i \(0.866122\pi\)
\(270\) 297.817 + 618.424i 1.10303 + 2.29046i
\(271\) 28.6724 18.0161i 0.105802 0.0664799i −0.478092 0.878310i \(-0.658671\pi\)
0.583894 + 0.811830i \(0.301528\pi\)
\(272\) −626.117 + 219.088i −2.30190 + 0.805470i
\(273\) 110.996 + 110.996i 0.406580 + 0.406580i
\(274\) 237.503 493.180i 0.866799 1.79993i
\(275\) 1.65734 + 14.7093i 0.00602669 + 0.0534884i
\(276\) −355.545 + 40.0603i −1.28821 + 0.145146i
\(277\) −106.776 51.4207i −0.385473 0.185634i 0.231103 0.972929i \(-0.425767\pi\)
−0.616576 + 0.787295i \(0.711481\pi\)
\(278\) 342.518 342.518i 1.23208 1.23208i
\(279\) −0.496776 1.41970i −0.00178056 0.00508855i
\(280\) −589.860 938.756i −2.10664 3.35270i
\(281\) 257.658 124.081i 0.916932 0.441571i 0.0849569 0.996385i \(-0.472925\pi\)
0.831975 + 0.554814i \(0.187210\pi\)
\(282\) 10.8432 30.9882i 0.0384512 0.109887i
\(283\) −221.399 + 50.5329i −0.782329 + 0.178561i −0.594989 0.803734i \(-0.702844\pi\)
−0.187340 + 0.982295i \(0.559986\pi\)
\(284\) −484.950 + 608.108i −1.70757 + 2.14122i
\(285\) −131.874 165.365i −0.462717 0.580229i
\(286\) 4.63124 20.2908i 0.0161932 0.0709469i
\(287\) −201.038 + 319.951i −0.700482 + 1.11481i
\(288\) −13.6698 + 121.323i −0.0474647 + 0.421260i
\(289\) 321.610i 1.11284i
\(290\) 673.345 + 178.958i 2.32188 + 0.617098i
\(291\) 340.582 1.17038
\(292\) −257.629 29.0278i −0.882290 0.0994102i
\(293\) −160.239 100.685i −0.546891 0.343634i 0.230079 0.973172i \(-0.426101\pi\)
−0.776970 + 0.629538i \(0.783244\pi\)
\(294\) 307.293 + 70.1377i 1.04521 + 0.238563i
\(295\) 477.744 380.988i 1.61947 1.29149i
\(296\) 219.584 + 175.112i 0.741837 + 0.591595i
\(297\) 4.72000 + 20.6797i 0.0158923 + 0.0696286i
\(298\) −201.569 70.5320i −0.676405 0.236685i
\(299\) 65.1735 + 135.334i 0.217971 + 0.452622i
\(300\) 314.536 197.636i 1.04845 0.658787i
\(301\) −54.5425 + 19.0853i −0.181204 + 0.0634062i
\(302\) 658.235 + 658.235i 2.17959 + 2.17959i
\(303\) −7.59939 + 15.7803i −0.0250805 + 0.0520802i
\(304\) −45.0165 399.533i −0.148081 1.31425i
\(305\) 50.6452 5.70634i 0.166050 0.0187093i
\(306\) −364.009 175.297i −1.18957 0.572868i
\(307\) −287.766 + 287.766i −0.937349 + 0.937349i −0.998150 0.0608010i \(-0.980634\pi\)
0.0608010 + 0.998150i \(0.480634\pi\)
\(308\) −20.6595 59.0414i −0.0670762 0.191693i
\(309\) −81.7298 130.072i −0.264498 0.420946i
\(310\) −7.13650 + 3.43676i −0.0230210 + 0.0110863i
\(311\) −7.89034 + 22.5493i −0.0253709 + 0.0725058i −0.955872 0.293782i \(-0.905086\pi\)
0.930501 + 0.366288i \(0.119372\pi\)
\(312\) −278.910 + 63.6593i −0.893941 + 0.204036i
\(313\) 256.380 321.491i 0.819107 1.02713i −0.179949 0.983676i \(-0.557593\pi\)
0.999056 0.0434514i \(-0.0138354\pi\)
\(314\) 418.514 + 524.800i 1.33285 + 1.67134i
\(315\) 64.8276 284.028i 0.205802 0.901678i
\(316\) 103.763 165.138i 0.328365 0.522590i
\(317\) −53.9274 + 478.619i −0.170118 + 1.50984i 0.561131 + 0.827727i \(0.310367\pi\)
−0.731248 + 0.682111i \(0.761062\pi\)
\(318\) 455.405i 1.43209i
\(319\) 19.0558 + 10.0219i 0.0597361 + 0.0314165i
\(320\) −76.8630 −0.240197
\(321\) −170.250 19.1825i −0.530373 0.0597587i
\(322\) 555.134 + 348.814i 1.72402 + 1.08327i
\(323\) 360.821 + 82.3550i 1.11709 + 0.254969i
\(324\) 132.268 105.480i 0.408233 0.325555i
\(325\) −121.928 97.2347i −0.375164 0.299184i
\(326\) −203.126 889.953i −0.623086 2.72992i
\(327\) 244.213 + 85.4540i 0.746830 + 0.261327i
\(328\) −298.801 620.467i −0.910980 1.89167i
\(329\) −35.0748 + 22.0389i −0.106610 + 0.0669877i
\(330\) 35.4669 12.4104i 0.107476 0.0376073i
\(331\) −253.593 253.593i −0.766142 0.766142i 0.211283 0.977425i \(-0.432236\pi\)
−0.977425 + 0.211283i \(0.932236\pi\)
\(332\) 158.511 329.152i 0.477443 0.991421i
\(333\) 8.26315 + 73.3375i 0.0248143 + 0.220233i
\(334\) 137.104 15.4479i 0.410492 0.0462513i
\(335\) 415.742 + 200.211i 1.24102 + 0.597644i
\(336\) −380.932 + 380.932i −1.13373 + 1.13373i
\(337\) 7.65449 + 21.8753i 0.0227136 + 0.0649118i 0.954682 0.297628i \(-0.0961955\pi\)
−0.931968 + 0.362540i \(0.881910\pi\)
\(338\) −205.580 327.178i −0.608223 0.967982i
\(339\) 301.584 145.235i 0.889627 0.428422i
\(340\) −483.874 + 1382.83i −1.42316 + 4.06716i
\(341\) −0.238640 + 0.0544680i −0.000699823 + 0.000159730i
\(342\) 152.681 191.457i 0.446437 0.559814i
\(343\) 43.0726 + 54.0114i 0.125576 + 0.157468i
\(344\) 23.4345 102.673i 0.0681236 0.298469i
\(345\) −144.283 + 229.624i −0.418210 + 0.665578i
\(346\) 15.4018 136.695i 0.0445139 0.395072i
\(347\) 307.231i 0.885393i 0.896672 + 0.442696i \(0.145978\pi\)
−0.896672 + 0.442696i \(0.854022\pi\)
\(348\) 19.1072 539.981i 0.0549058 1.55167i
\(349\) 81.9545 0.234827 0.117413 0.993083i \(-0.462540\pi\)
0.117413 + 0.993083i \(0.462540\pi\)
\(350\) −676.411 76.2132i −1.93260 0.217752i
\(351\) −189.223 118.897i −0.539096 0.338737i
\(352\) 19.3707 + 4.42124i 0.0550305 + 0.0125603i
\(353\) 34.5942 27.5880i 0.0980006 0.0781529i −0.573264 0.819371i \(-0.694323\pi\)
0.671264 + 0.741218i \(0.265752\pi\)
\(354\) −538.064 429.092i −1.51995 1.21212i
\(355\) 131.184 + 574.754i 0.369532 + 1.61902i
\(356\) 823.354 + 288.104i 2.31279 + 0.809281i
\(357\) −215.161 446.786i −0.602691 1.25150i
\(358\) −528.164 + 331.867i −1.47532 + 0.927004i
\(359\) −329.635 + 115.344i −0.918204 + 0.321294i −0.747680 0.664060i \(-0.768832\pi\)
−0.170525 + 0.985353i \(0.554546\pi\)
\(360\) 375.441 + 375.441i 1.04289 + 1.04289i
\(361\) 59.3020 123.142i 0.164271 0.341113i
\(362\) −68.3233 606.386i −0.188738 1.67510i
\(363\) −252.146 + 28.4100i −0.694617 + 0.0782645i
\(364\) 593.756 + 285.938i 1.63120 + 0.785543i
\(365\) −138.951 + 138.951i −0.380687 + 0.380687i
\(366\) −18.9582 54.1794i −0.0517983 0.148031i
\(367\) 117.163 + 186.464i 0.319246 + 0.508076i 0.967340 0.253484i \(-0.0815765\pi\)
−0.648094 + 0.761560i \(0.724434\pi\)
\(368\) −464.458 + 223.671i −1.26211 + 0.607802i
\(369\) 59.7680 170.807i 0.161973 0.462892i
\(370\) 378.908 86.4833i 1.02408 0.233739i
\(371\) 358.263 449.247i 0.965668 1.21091i
\(372\) 3.82998 + 4.80264i 0.0102956 + 0.0129103i
\(373\) 58.3911 255.828i 0.156545 0.685867i −0.834351 0.551234i \(-0.814157\pi\)
0.990896 0.134633i \(-0.0429855\pi\)
\(374\) −34.9809 + 55.6718i −0.0935318 + 0.148855i
\(375\) −8.00422 + 71.0394i −0.0213446 + 0.189438i
\(376\) 75.4955i 0.200786i
\(377\) −216.623 + 67.3012i −0.574597 + 0.178518i
\(378\) −975.416 −2.58046
\(379\) −224.710 25.3187i −0.592901 0.0668039i −0.189584 0.981864i \(-0.560714\pi\)
−0.403317 + 0.915061i \(0.632143\pi\)
\(380\) −751.879 472.437i −1.97863 1.24326i
\(381\) 198.134 + 45.2228i 0.520037 + 0.118695i
\(382\) 79.7857 63.6270i 0.208863 0.166563i
\(383\) 106.140 + 84.6436i 0.277127 + 0.221002i 0.752183 0.658954i \(-0.229001\pi\)
−0.475056 + 0.879956i \(0.657572\pi\)
\(384\) 69.4439 + 304.253i 0.180843 + 0.792327i
\(385\) −44.7505 15.6589i −0.116235 0.0406724i
\(386\) 461.679 + 958.686i 1.19606 + 2.48364i
\(387\) 23.4318 14.7232i 0.0605472 0.0380444i
\(388\) 1349.63 472.256i 3.47843 1.21715i
\(389\) −11.0445 11.0445i −0.0283920 0.0283920i 0.692768 0.721160i \(-0.256391\pi\)
−0.721160 + 0.692768i \(0.756391\pi\)
\(390\) −171.767 + 356.677i −0.440427 + 0.914557i
\(391\) −53.1305 471.546i −0.135884 1.20600i
\(392\) 720.251 81.1528i 1.83737 0.207022i
\(393\) 144.504 + 69.5895i 0.367695 + 0.177072i
\(394\) −618.237 + 618.237i −1.56913 + 1.56913i
\(395\) −48.8235 139.530i −0.123604 0.353240i
\(396\) 15.9376 + 25.3645i 0.0402464 + 0.0640518i
\(397\) −258.406 + 124.442i −0.650896 + 0.313455i −0.730036 0.683409i \(-0.760497\pi\)
0.0791405 + 0.996863i \(0.474782\pi\)
\(398\) 375.378 1072.77i 0.943160 2.69540i
\(399\) 293.033 66.8829i 0.734419 0.167626i
\(400\) 333.703 418.451i 0.834258 1.04613i
\(401\) 94.6371 + 118.671i 0.236003 + 0.295938i 0.885703 0.464253i \(-0.153677\pi\)
−0.649700 + 0.760191i \(0.725106\pi\)
\(402\) 115.644 506.669i 0.287671 1.26037i
\(403\) 1.37204 2.18360i 0.00340458 0.00541835i
\(404\) −8.23305 + 73.0703i −0.0203788 + 0.180867i
\(405\) 128.228i 0.316612i
\(406\) −644.295 + 751.765i −1.58693 + 1.85164i
\(407\) 12.0104 0.0295095
\(408\) 898.086 + 101.190i 2.20119 + 0.248015i
\(409\) −138.561 87.0640i −0.338781 0.212870i 0.351886 0.936043i \(-0.385540\pi\)
−0.690668 + 0.723172i \(0.742683\pi\)
\(410\) −929.086 212.058i −2.26606 0.517214i
\(411\) −251.560 + 200.613i −0.612069 + 0.488109i
\(412\) −504.233 402.112i −1.22387 0.976000i
\(413\) 193.226 + 846.580i 0.467860 + 2.04983i
\(414\) −296.360 103.701i −0.715846 0.250486i
\(415\) −120.144 249.481i −0.289503 0.601160i
\(416\) −177.246 + 111.371i −0.426071 + 0.267718i
\(417\) −268.751 + 94.0401i −0.644487 + 0.225516i
\(418\) −28.1795 28.1795i −0.0674150 0.0674150i
\(419\) −14.3641 + 29.8274i −0.0342819 + 0.0711870i −0.917406 0.397952i \(-0.869721\pi\)
0.883125 + 0.469139i \(0.155436\pi\)
\(420\) 133.216 + 1182.33i 0.317181 + 2.81506i
\(421\) −442.876 + 49.9001i −1.05196 + 0.118528i −0.620974 0.783831i \(-0.713263\pi\)
−0.430986 + 0.902358i \(0.641834\pi\)
\(422\) −1208.88 582.167i −2.86465 1.37954i
\(423\) 14.0276 14.0276i 0.0331622 0.0331622i
\(424\) 345.877 + 988.459i 0.815747 + 2.33127i
\(425\) 262.117 + 417.157i 0.616747 + 0.981547i
\(426\) 598.215 288.085i 1.40426 0.676256i
\(427\) −23.9206 + 68.3611i −0.0560201 + 0.160096i
\(428\) −701.251 + 160.056i −1.63844 + 0.373962i
\(429\) −7.62763 + 9.56474i −0.0177800 + 0.0222954i
\(430\) −90.8633 113.939i −0.211310 0.264974i
\(431\) 56.6584 248.237i 0.131458 0.575955i −0.865696 0.500569i \(-0.833124\pi\)
0.997154 0.0753857i \(-0.0240188\pi\)
\(432\) 408.046 649.401i 0.944550 1.50324i
\(433\) 41.5408 368.685i 0.0959371 0.851465i −0.849927 0.526901i \(-0.823354\pi\)
0.945864 0.324564i \(-0.105218\pi\)
\(434\) 11.2561i 0.0259358i
\(435\) −310.958 266.505i −0.714847 0.612654i
\(436\) 1086.24 2.49138
\(437\) 285.811 + 32.2032i 0.654030 + 0.0736915i
\(438\) 187.394 + 117.747i 0.427840 + 0.268830i
\(439\) 472.512 + 107.848i 1.07634 + 0.245667i 0.723715 0.690099i \(-0.242433\pi\)
0.352622 + 0.935766i \(0.385290\pi\)
\(440\) 67.5556 53.8738i 0.153535 0.122440i
\(441\) 148.907 + 118.749i 0.337657 + 0.269273i
\(442\) −154.143 675.345i −0.348740 1.52793i
\(443\) −133.331 46.6547i −0.300974 0.105315i 0.175567 0.984467i \(-0.443824\pi\)
−0.476541 + 0.879152i \(0.658110\pi\)
\(444\) −130.775 271.558i −0.294539 0.611617i
\(445\) 559.825 351.761i 1.25803 0.790475i
\(446\) 936.503 327.696i 2.09978 0.734745i
\(447\) 88.7613 + 88.7613i 0.198571 + 0.198571i
\(448\) 47.3918 98.4102i 0.105785 0.219666i
\(449\) 55.2993 + 490.795i 0.123161 + 1.09309i 0.891493 + 0.453034i \(0.149658\pi\)
−0.768332 + 0.640051i \(0.778913\pi\)
\(450\) 323.934 36.4986i 0.719854 0.0811080i
\(451\) −26.5331 12.7777i −0.0588317 0.0283319i
\(452\) 993.706 993.706i 2.19847 2.19847i
\(453\) −180.722 516.473i −0.398944 1.14012i
\(454\) 500.957 + 797.269i 1.10343 + 1.75610i
\(455\) 450.039 216.727i 0.989096 0.476324i
\(456\) −180.923 + 517.047i −0.396760 + 1.13388i
\(457\) 890.248 203.193i 1.94803 0.444624i 0.964373 0.264547i \(-0.0852225\pi\)
0.983653 0.180077i \(-0.0576347\pi\)
\(458\) −689.187 + 864.213i −1.50478 + 1.88693i
\(459\) 440.177 + 551.964i 0.958991 + 1.20254i
\(460\) −253.351 + 1110.00i −0.550762 + 2.41305i
\(461\) −70.6093 + 112.374i −0.153166 + 0.243762i −0.914489 0.404611i \(-0.867407\pi\)
0.761323 + 0.648372i \(0.224550\pi\)
\(462\) −5.97859 + 53.0614i −0.0129407 + 0.114852i
\(463\) 36.6184i 0.0790895i −0.999218 0.0395447i \(-0.987409\pi\)
0.999218 0.0395447i \(-0.0125908\pi\)
\(464\) −230.973 743.437i −0.497788 1.60223i
\(465\) 4.65596 0.0100128
\(466\) −329.109 37.0817i −0.706243 0.0795745i
\(467\) 125.291 + 78.7258i 0.268290 + 0.168578i 0.659458 0.751742i \(-0.270786\pi\)
−0.391168 + 0.920319i \(0.627929\pi\)
\(468\) −307.693 70.2288i −0.657463 0.150062i
\(469\) −512.672 + 408.843i −1.09312 + 0.871733i
\(470\) −81.6786 65.1365i −0.173784 0.138588i
\(471\) −87.7980 384.668i −0.186408 0.816706i
\(472\) −1493.76 522.690i −3.16475 1.10739i
\(473\) −1.95401 4.05755i −0.00413111 0.00857833i
\(474\) −140.971 + 88.5777i −0.297406 + 0.186873i
\(475\) −281.858 + 98.6265i −0.593386 + 0.207635i
\(476\) −1472.14 1472.14i −3.09273 3.09273i
\(477\) −119.397 + 247.930i −0.250307 + 0.519768i
\(478\) 165.284 + 1466.93i 0.345782 + 3.06890i
\(479\) −541.118 + 60.9693i −1.12968 + 0.127285i −0.656959 0.753926i \(-0.728158\pi\)
−0.472723 + 0.881211i \(0.656729\pi\)
\(480\) −340.504 163.978i −0.709382 0.341621i
\(481\) −89.4749 + 89.4749i −0.186019 + 0.186019i
\(482\) 146.940 + 419.930i 0.304855 + 0.871225i
\(483\) −205.034 326.310i −0.424502 0.675591i
\(484\) −959.789 + 462.210i −1.98304 + 0.954980i
\(485\) 357.948 1022.96i 0.738036 2.10919i
\(486\) 757.637 172.926i 1.55892 0.355814i
\(487\) −143.770 + 180.282i −0.295216 + 0.370190i −0.907214 0.420670i \(-0.861795\pi\)
0.611997 + 0.790860i \(0.290366\pi\)
\(488\) −82.2977 103.198i −0.168643 0.211471i
\(489\) −119.398 + 523.119i −0.244169 + 1.06977i
\(490\) 533.624 849.257i 1.08903 1.73318i
\(491\) 55.3414 491.168i 0.112712 1.00034i −0.802302 0.596919i \(-0.796392\pi\)
0.915013 0.403424i \(-0.132180\pi\)
\(492\) 739.052i 1.50214i
\(493\) 716.157 + 25.3412i 1.45265 + 0.0514020i
\(494\) 419.863 0.849926
\(495\) 22.5625 + 2.54218i 0.0455808 + 0.00513572i
\(496\) 7.49397 + 4.70877i 0.0151088 + 0.00949349i
\(497\) −816.761 186.420i −1.64338 0.375091i
\(498\) −243.826 + 194.445i −0.489610 + 0.390451i
\(499\) 116.986 + 93.2931i 0.234441 + 0.186960i 0.733663 0.679514i \(-0.237809\pi\)
−0.499222 + 0.866474i \(0.666381\pi\)
\(500\) 66.7859 + 292.608i 0.133572 + 0.585216i
\(501\) −76.5494 26.7858i −0.152793 0.0534647i
\(502\) −52.1212 108.231i −0.103827 0.215599i
\(503\) −579.852 + 364.345i −1.15279 + 0.724344i −0.966124 0.258080i \(-0.916910\pi\)
−0.186664 + 0.982424i \(0.559767\pi\)
\(504\) −712.178 + 249.202i −1.41305 + 0.494448i
\(505\) 39.4101 + 39.4101i 0.0780398 + 0.0780398i
\(506\) −22.1700 + 46.0365i −0.0438143 + 0.0909813i
\(507\) 25.4305 + 225.702i 0.0501589 + 0.445172i
\(508\) 847.857 95.5305i 1.66901 0.188052i
\(509\) −285.063 137.279i −0.560046 0.269704i 0.132372 0.991200i \(-0.457741\pi\)
−0.692419 + 0.721496i \(0.743455\pi\)
\(510\) 884.335 884.335i 1.73399 1.73399i
\(511\) −92.2295 263.577i −0.180488 0.515806i
\(512\) 609.618 + 970.201i 1.19066 + 1.89492i
\(513\) −385.534 + 185.663i −0.751527 + 0.361917i
\(514\) 319.898 914.215i 0.622369 1.77863i
\(515\) −476.576 + 108.775i −0.925390 + 0.211214i
\(516\) −70.4661 + 88.3617i −0.136562 + 0.171244i
\(517\) −2.01289 2.52408i −0.00389340 0.00488217i
\(518\) −122.898 + 538.452i −0.237255 + 1.03948i
\(519\) −43.0193 + 68.4647i −0.0828887 + 0.131917i
\(520\) −101.927 + 904.625i −0.196013 + 1.73966i
\(521\) 561.548i 1.07783i −0.842361 0.538914i \(-0.818835\pi\)
0.842361 0.538914i \(-0.181165\pi\)
\(522\) 220.705 419.655i 0.422807 0.803936i
\(523\) −649.609 −1.24208 −0.621041 0.783778i \(-0.713290\pi\)
−0.621041 + 0.783778i \(0.713290\pi\)
\(524\) 669.123 + 75.3920i 1.27695 + 0.143878i
\(525\) 338.786 + 212.873i 0.645306 + 0.405473i
\(526\) −624.509 142.540i −1.18728 0.270989i
\(527\) −6.36957 + 5.07956i −0.0120865 + 0.00963863i
\(528\) −32.8256 26.1775i −0.0621697 0.0495787i
\(529\) 35.6531 + 156.206i 0.0673971 + 0.295286i
\(530\) 1367.83 + 478.625i 2.58082 + 0.903066i
\(531\) −180.433 374.672i −0.339798 0.705597i
\(532\) 1068.47 671.362i 2.00840 1.26196i
\(533\) 292.858 102.475i 0.549452 0.192261i
\(534\) −526.543 526.543i −0.986036 0.986036i
\(535\) −236.546 + 491.193i −0.442143 + 0.918119i
\(536\) −133.806 1187.56i −0.249638 2.21560i
\(537\) 364.352 41.0526i 0.678495 0.0764480i
\(538\) 1262.54 + 608.006i 2.34672 + 1.13012i
\(539\) 21.9168 21.9168i 0.0406620 0.0406620i
\(540\) −559.456 1598.83i −1.03603 2.96080i
\(541\) 412.119 + 655.884i 0.761774 + 1.21236i 0.972064 + 0.234717i \(0.0754162\pi\)
−0.210290 + 0.977639i \(0.567441\pi\)
\(542\) −109.342 + 52.6563i −0.201738 + 0.0971519i
\(543\) −118.468 + 338.563i −0.218174 + 0.623505i
\(544\) 644.722 147.153i 1.18515 0.270503i
\(545\) 513.331 643.697i 0.941892 1.18109i
\(546\) −350.758 439.837i −0.642414 0.805562i
\(547\) −116.423 + 510.082i −0.212839 + 0.932508i 0.749788 + 0.661678i \(0.230155\pi\)
−0.962627 + 0.270830i \(0.912702\pi\)
\(548\) −718.691 + 1143.79i −1.31148 + 2.08721i
\(549\) 3.88344 34.4665i 0.00707367 0.0627805i
\(550\) 53.0502i 0.0964549i
\(551\) −111.565 + 419.772i −0.202477 + 0.761837i
\(552\) 702.356 1.27238
\(553\) 208.748 + 23.5202i 0.377482 + 0.0425320i
\(554\) 359.635 + 225.973i 0.649160 + 0.407894i
\(555\) −222.724 50.8353i −0.401305 0.0915952i
\(556\) −934.588 + 745.309i −1.68091 + 1.34048i
\(557\) −133.141 106.177i −0.239033 0.190622i 0.496645 0.867954i \(-0.334565\pi\)
−0.735678 + 0.677331i \(0.763136\pi\)
\(558\) 1.19952 + 5.25542i 0.00214967 + 0.00941831i
\(559\) 44.7850 + 15.6709i 0.0801163 + 0.0280339i
\(560\) 743.794 + 1544.50i 1.32820 + 2.75804i
\(561\) 32.7242 20.5619i 0.0583318 0.0366523i
\(562\) −967.402 + 338.509i −1.72136 + 0.602329i
\(563\) −622.112 622.112i −1.10499 1.10499i −0.993799 0.111195i \(-0.964532\pi\)
−0.111195 0.993799i \(-0.535468\pi\)
\(564\) −35.1528 + 72.9956i −0.0623277 + 0.129425i
\(565\) −119.260 1058.46i −0.211080 1.87339i
\(566\) 808.759 91.1252i 1.42890 0.160999i
\(567\) 164.174 + 79.0622i 0.289549 + 0.139439i
\(568\) 1079.63 1079.63i 1.90076 1.90076i
\(569\) 62.1379 + 177.580i 0.109205 + 0.312091i 0.985498 0.169689i \(-0.0542762\pi\)
−0.876292 + 0.481780i \(0.839990\pi\)
\(570\) 403.296 + 641.842i 0.707537 + 1.12604i
\(571\) 485.208 233.664i 0.849751 0.409218i 0.0422657 0.999106i \(-0.486542\pi\)
0.807485 + 0.589888i \(0.200828\pi\)
\(572\) −16.9635 + 48.4790i −0.0296565 + 0.0847535i
\(573\) −58.4814 + 13.3480i −0.102062 + 0.0232949i
\(574\) 844.356 1058.79i 1.47100 1.84458i
\(575\) 238.719 + 299.344i 0.415163 + 0.520599i
\(576\) −11.6398 + 50.9975i −0.0202081 + 0.0885374i
\(577\) −276.433 + 439.941i −0.479087 + 0.762462i −0.995589 0.0938238i \(-0.970091\pi\)
0.516502 + 0.856286i \(0.327234\pi\)
\(578\) −129.052 + 1145.37i −0.223274 + 1.98161i
\(579\) 625.460i 1.08024i
\(580\) −1601.78 624.904i −2.76169 1.07742i
\(581\) 393.497 0.677276
\(582\) −1212.93 136.665i −2.08408 0.234819i
\(583\) 37.9185 + 23.8258i 0.0650403 + 0.0408675i
\(584\) 496.168 + 113.247i 0.849603 + 0.193916i
\(585\) −187.025 + 149.147i −0.319701 + 0.254953i
\(586\) 530.267 + 422.874i 0.904893 + 0.721628i
\(587\) −235.013 1029.66i −0.400363 1.75411i −0.625931 0.779878i \(-0.715281\pi\)
0.225568 0.974227i \(-0.427576\pi\)
\(588\) −734.188 256.903i −1.24862 0.436910i
\(589\) −2.14252 4.44899i −0.00363755 0.00755346i
\(590\) −1854.30 + 1165.13i −3.14288 + 1.97480i
\(591\) 485.089 169.740i 0.820794 0.287208i
\(592\) −307.072 307.072i −0.518703 0.518703i
\(593\) 85.9928 178.566i 0.145013 0.301123i −0.815793 0.578344i \(-0.803699\pi\)
0.960806 + 0.277221i \(0.0894134\pi\)
\(594\) −8.51152 75.5418i −0.0143292 0.127175i
\(595\) −1568.08 + 176.680i −2.63542 + 0.296941i
\(596\) 474.814 + 228.658i 0.796667 + 0.383655i
\(597\) −472.396 + 472.396i −0.791282 + 0.791282i
\(598\) −177.801 508.126i −0.297326 0.849708i
\(599\) −154.573 246.002i −0.258052 0.410687i 0.692421 0.721493i \(-0.256544\pi\)
−0.950473 + 0.310806i \(0.899401\pi\)
\(600\) −656.993 + 316.391i −1.09499 + 0.527319i
\(601\) −168.543 + 481.670i −0.280438 + 0.801447i 0.714378 + 0.699760i \(0.246710\pi\)
−0.994816 + 0.101687i \(0.967576\pi\)
\(602\) 201.904 46.0833i 0.335389 0.0765503i
\(603\) 195.795 245.520i 0.324702 0.407163i
\(604\) −1432.30 1796.05i −2.37136 2.97359i
\(605\) −179.671 + 787.192i −0.296978 + 1.30114i
\(606\) 33.3963 53.1499i 0.0551094 0.0877062i
\(607\) 2.33822 20.7523i 0.00385209 0.0341883i −0.991639 0.129042i \(-0.958810\pi\)
0.995491 + 0.0948538i \(0.0302384\pi\)
\(608\) 400.825i 0.659251i
\(609\) 532.944 233.810i 0.875114 0.383924i
\(610\) −182.656 −0.299435
\(611\) 33.7995 + 3.80829i 0.0553184 + 0.00623289i
\(612\) 844.214 + 530.455i 1.37944 + 0.866756i
\(613\) −480.301 109.626i −0.783525 0.178835i −0.187998 0.982169i \(-0.560200\pi\)
−0.595527 + 0.803335i \(0.703057\pi\)
\(614\) 1140.31 909.367i 1.85718 1.48105i
\(615\) 437.955 + 349.258i 0.712123 + 0.567899i
\(616\) 27.3232 + 119.711i 0.0443559 + 0.194336i
\(617\) 814.785 + 285.105i 1.32056 + 0.462083i 0.896296 0.443456i \(-0.146248\pi\)
0.424262 + 0.905539i \(0.360533\pi\)
\(618\) 238.875 + 496.030i 0.386530 + 0.802637i
\(619\) −111.989 + 70.3677i −0.180920 + 0.113680i −0.619447 0.785038i \(-0.712643\pi\)
0.438527 + 0.898718i \(0.355500\pi\)
\(620\) 18.4502 6.45602i 0.0297585 0.0104129i
\(621\) 387.956 + 387.956i 0.624728 + 0.624728i
\(622\) 37.1487 77.1400i 0.0597245 0.124019i
\(623\) 105.197 + 933.650i 0.168856 + 1.49864i
\(624\) 439.562 49.5268i 0.704427 0.0793698i
\(625\) 654.040 + 314.969i 1.04646 + 0.503951i
\(626\) −1042.07 + 1042.07i −1.66464 + 1.66464i
\(627\) 7.73681 + 22.1105i 0.0123394 + 0.0352640i
\(628\) −881.306 1402.59i −1.40335 2.23342i
\(629\) 360.157 173.443i 0.572587 0.275744i
\(630\) −344.846 + 985.514i −0.547375 + 1.56431i
\(631\) 901.413 205.742i 1.42855 0.326056i 0.562822 0.826578i \(-0.309716\pi\)
0.865724 + 0.500522i \(0.166858\pi\)
\(632\) −238.703 + 299.324i −0.377695 + 0.473615i
\(633\) 491.741 + 616.624i 0.776843 + 0.974130i
\(634\) 384.110 1682.89i 0.605851 2.65441i
\(635\) 344.066 547.578i 0.541836 0.862327i
\(636\) 125.831 1116.78i 0.197847 1.75594i
\(637\) 326.552i 0.512640i
\(638\) −63.8431 43.3380i −0.100068 0.0679278i
\(639\) 401.207 0.627867
\(640\) 986.826 + 111.189i 1.54192 + 0.173732i
\(641\) −836.101 525.357i −1.30437 0.819590i −0.312883 0.949792i \(-0.601295\pi\)
−0.991488 + 0.130202i \(0.958438\pi\)
\(642\) 598.623 + 136.632i 0.932435 + 0.212822i
\(643\) 597.523 476.509i 0.929274 0.741071i −0.0368040 0.999323i \(-0.511718\pi\)
0.966078 + 0.258251i \(0.0831463\pi\)
\(644\) −1264.96 1008.77i −1.96423 1.56642i
\(645\) 19.0618 + 83.5151i 0.0295532 + 0.129481i
\(646\) −1251.97 438.082i −1.93803 0.678145i
\(647\) −530.613 1101.83i −0.820112 1.70298i −0.704520 0.709684i \(-0.748838\pi\)
−0.115593 0.993297i \(-0.536877\pi\)
\(648\) −281.193 + 176.686i −0.433941 + 0.272663i
\(649\) −63.8779 + 22.3518i −0.0984251 + 0.0344404i
\(650\) 395.214 + 395.214i 0.608021 + 0.608021i
\(651\) −2.87075 + 5.96117i −0.00440975 + 0.00915695i
\(652\) 252.222 + 2238.53i 0.386844 + 3.43333i
\(653\) 1154.35 130.064i 1.76777 0.199179i 0.832717 0.553699i \(-0.186784\pi\)
0.935049 + 0.354520i \(0.115356\pi\)
\(654\) −835.442 402.328i −1.27743 0.615180i
\(655\) 360.888 360.888i 0.550974 0.550974i
\(656\) 351.689 + 1005.07i 0.536111 + 1.53212i
\(657\) 71.1496 + 113.234i 0.108295 + 0.172350i
\(658\) 133.757 64.4142i 0.203279 0.0978939i
\(659\) −103.295 + 295.200i −0.156745 + 0.447951i −0.995297 0.0968701i \(-0.969117\pi\)
0.838552 + 0.544821i \(0.183403\pi\)
\(660\) −90.4037 + 20.6341i −0.136975 + 0.0312637i
\(661\) −741.803 + 930.192i −1.12224 + 1.40725i −0.220281 + 0.975436i \(0.570697\pi\)
−0.901963 + 0.431813i \(0.857874\pi\)
\(662\) 801.377 + 1004.90i 1.21054 + 1.51797i
\(663\) −90.6061 + 396.971i −0.136661 + 0.598750i
\(664\) −381.546 + 607.228i −0.574618 + 0.914499i
\(665\) 107.088 950.433i 0.161035 1.42922i
\(666\) 264.497i 0.397143i
\(667\) 555.260 42.7445i 0.832474 0.0640847i
\(668\) −340.486 −0.509709
\(669\) −579.542 65.2987i −0.866280 0.0976064i
\(670\) −1400.27 879.846i −2.08995 1.31320i
\(671\) −5.50301 1.25603i −0.00820120 0.00187187i
\(672\) 419.892 334.853i 0.624840 0.498293i
\(673\) −444.801 354.717i −0.660922 0.527068i 0.234596 0.972093i \(-0.424623\pi\)
−0.895518 + 0.445025i \(0.853195\pi\)
\(674\) −18.4825 80.9772i −0.0274221 0.120144i
\(675\) −537.663 188.136i −0.796537 0.278720i
\(676\) 413.736 + 859.133i 0.612036 + 1.27091i
\(677\) 157.955 99.2497i 0.233316 0.146602i −0.410300 0.911950i \(-0.634576\pi\)
0.643616 + 0.765348i \(0.277433\pi\)
\(678\) −1132.33 + 396.218i −1.67010 + 0.584393i
\(679\) 1089.02 + 1089.02i 1.60386 + 1.60386i
\(680\) 1247.81 2591.10i 1.83501 3.81044i
\(681\) −61.9693 549.992i −0.0909974 0.807625i
\(682\) 0.871738 0.0982213i 0.00127821 0.000144020i
\(683\) 102.817 + 49.5142i 0.150538 + 0.0724951i 0.507636 0.861572i \(-0.330520\pi\)
−0.357098 + 0.934067i \(0.616234\pi\)
\(684\) −427.317 + 427.317i −0.624733 + 0.624733i
\(685\) 338.164 + 966.417i 0.493670 + 1.41083i
\(686\) −131.724 209.638i −0.192018 0.305594i
\(687\) 585.398 281.913i 0.852107 0.410353i
\(688\) −53.7817 + 153.699i −0.0781711 + 0.223400i
\(689\) −459.983 + 104.988i −0.667610 + 0.152378i
\(690\) 605.983 759.879i 0.878237 1.10127i
\(691\) −301.568 378.155i −0.436423 0.547257i 0.514174 0.857686i \(-0.328099\pi\)
−0.950597 + 0.310429i \(0.899527\pi\)
\(692\) −75.5389 + 330.958i −0.109160 + 0.478263i
\(693\) −17.1663 + 27.3200i −0.0247710 + 0.0394229i
\(694\) 123.282 1094.16i 0.177640 1.57660i
\(695\) 906.043i 1.30366i
\(696\) −155.953 + 1049.13i −0.224070 + 1.50736i
\(697\) −980.177 −1.40628
\(698\) −291.870 32.8858i −0.418151 0.0471143i
\(699\) 164.837 + 103.574i 0.235818 + 0.148174i
\(700\) 1637.69 + 373.791i 2.33955 + 0.533988i
\(701\) −382.725 + 305.213i −0.545969 + 0.435396i −0.857234 0.514927i \(-0.827819\pi\)
0.311264 + 0.950323i \(0.399248\pi\)
\(702\) 626.181 + 499.363i 0.891996 + 0.711343i
\(703\) 53.9148 + 236.216i 0.0766925 + 0.336012i
\(704\) 8.03499 + 2.81157i 0.0114133 + 0.00399370i
\(705\) 26.6442 + 55.3272i 0.0377931 + 0.0784782i
\(706\) −134.273 + 84.3691i −0.190188 + 0.119503i
\(707\) −74.7573 + 26.1587i −0.105739 + 0.0369996i
\(708\) 1200.92 + 1200.92i 1.69621 + 1.69621i
\(709\) 461.431 958.172i 0.650820 1.35144i −0.270531 0.962711i \(-0.587199\pi\)
0.921351 0.388731i \(-0.127086\pi\)
\(710\) −236.562 2099.54i −0.333186 2.95711i
\(711\) −99.9696 + 11.2639i −0.140604 + 0.0158423i
\(712\) −1542.77 742.959i −2.16681 1.04348i
\(713\) −4.47694 + 4.47694i −0.00627902 + 0.00627902i
\(714\) 586.983 + 1677.50i 0.822106 + 2.34944i
\(715\) 20.7117 + 32.9624i 0.0289674 + 0.0461013i
\(716\) 1386.90 667.895i 1.93701 0.932815i
\(717\) 286.592 819.033i 0.399710 1.14231i
\(718\) 1220.23 278.511i 1.69949 0.387898i
\(719\) −465.243 + 583.396i −0.647069 + 0.811399i −0.991867 0.127278i \(-0.959376\pi\)
0.344798 + 0.938677i \(0.387947\pi\)
\(720\) −511.865 641.858i −0.710923 0.891469i
\(721\) 154.577 677.244i 0.214392 0.939312i
\(722\) −260.609 + 414.757i −0.360954 + 0.574455i
\(723\) 29.2801 259.868i 0.0404981 0.359430i
\(724\) 1505.90i 2.07998i
\(725\) −500.143 + 290.113i −0.689853 + 0.400156i
\(726\) 909.382 1.25259
\(727\) 137.483 + 15.4906i 0.189110 + 0.0213076i 0.206012 0.978550i \(-0.433952\pi\)
−0.0169014 + 0.999857i \(0.505380\pi\)
\(728\) −1095.38 688.270i −1.50464 0.945426i
\(729\) −613.181 139.955i −0.841127 0.191982i
\(730\) 550.610 439.097i 0.754260 0.601502i
\(731\) −117.191 93.4566i −0.160316 0.127848i
\(732\) 31.5206 + 138.101i 0.0430610 + 0.188663i
\(733\) −96.2298 33.6723i −0.131282 0.0459376i 0.263838 0.964567i \(-0.415011\pi\)
−0.395121 + 0.918629i \(0.629297\pi\)
\(734\) −342.438 711.079i −0.466537 0.968773i
\(735\) −499.198 + 313.667i −0.679181 + 0.426758i
\(736\) 485.085 169.738i 0.659082 0.230623i
\(737\) −36.1367 36.1367i −0.0490322 0.0490322i
\(738\) −281.395 + 584.322i −0.381294 + 0.791765i
\(739\) 77.8075 + 690.560i 0.105288 + 0.934452i 0.929663 + 0.368410i \(0.120098\pi\)
−0.824376 + 0.566043i \(0.808474\pi\)
\(740\) −953.082 + 107.387i −1.28795 + 0.145117i
\(741\) −222.357 107.082i −0.300077 0.144510i
\(742\) −1456.17 + 1456.17i −1.96250 + 1.96250i
\(743\) −213.456 610.021i −0.287289 0.821024i −0.993583 0.113106i \(-0.963920\pi\)
0.706294 0.707918i \(-0.250366\pi\)
\(744\) −6.41546 10.2101i −0.00862293 0.0137233i
\(745\) 359.886 173.312i 0.483069 0.232634i
\(746\) −310.608 + 887.666i −0.416364 + 1.18990i
\(747\) −183.722 + 41.9333i −0.245946 + 0.0561356i
\(748\) 101.165 126.857i 0.135247 0.169595i
\(749\) −483.042 605.716i −0.644916 0.808700i
\(750\) 57.0118 249.785i 0.0760157 0.333047i
\(751\) 203.554 323.954i 0.271044 0.431364i −0.683272 0.730164i \(-0.739444\pi\)
0.954316 + 0.298800i \(0.0965865\pi\)
\(752\) −13.0698 + 115.998i −0.0173801 + 0.154253i
\(753\) 70.6113i 0.0937734i
\(754\) 798.479 152.760i 1.05899 0.202599i
\(755\) −1741.19 −2.30621
\(756\) 2391.99 + 269.512i 3.16400 + 0.356497i
\(757\) −572.593 359.784i −0.756397 0.475276i 0.0978121 0.995205i \(-0.468816\pi\)
−0.854210 + 0.519929i \(0.825958\pi\)
\(758\) 790.112 + 180.338i 1.04236 + 0.237913i
\(759\) 23.4822 18.7264i 0.0309384 0.0246725i
\(760\) 1362.83 + 1086.82i 1.79320 + 1.43003i
\(761\) 139.727 + 612.184i