Properties

Label 29.3.f.a.15.1
Level $29$
Weight $3$
Character 29.15
Analytic conductor $0.790$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 15.1
Character \(\chi\) \(=\) 29.15
Dual form 29.3.f.a.2.1

$q$-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 \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{27}{28}\right)\)

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 −0.940064 0.340997i \(-0.889235\pi\)
−0.840616 + 0.541632i \(0.817807\pi\)
\(3\) 1.78374 1.12080i 0.594579 0.373599i −0.200871 0.979618i \(-0.564377\pi\)
0.795450 + 0.606019i \(0.207234\pi\)
\(4\) 8.62256 1.96804i 2.15564 0.492011i
\(5\) 5.24106 + 4.17960i 1.04821 + 0.835920i 0.986760 0.162190i \(-0.0518556\pi\)
0.0614515 + 0.998110i \(0.480427\pi\)
\(6\) −5.90279 + 4.70732i −0.983798 + 0.784553i
\(7\) 2.11977 9.28734i 0.302825 1.32676i −0.563017 0.826445i \(-0.690360\pi\)
0.865842 0.500317i \(-0.166783\pi\)
\(8\) −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 0.298238 0.954492i \(-0.403601\pi\)
−0.361944 + 0.932200i \(0.617887\pi\)
\(12\) 13.1746 13.1746i 1.09788 1.09788i
\(13\) 3.39382 + 7.04735i 0.261063 + 0.542104i 0.989761 0.142731i \(-0.0455885\pi\)
−0.728698 + 0.684835i \(0.759874\pi\)
\(14\) −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 −0.999602 0.0282209i \(-0.991016\pi\)
−0.0282209 0.999602i \(-0.508984\pi\)
\(18\) 5.40009 15.4326i 0.300005 0.857366i
\(19\) −7.96846 + 12.6817i −0.419393 + 0.667460i −0.987878 0.155234i \(-0.950387\pi\)
0.568485 + 0.822694i \(0.307530\pi\)
\(20\) 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 0.450156 0.892950i \(-0.351368\pi\)
−0.970731 + 0.240170i \(0.922797\pi\)
\(24\) −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 −0.106679 0.994294i \(-0.534022\pi\)
0.117247 + 0.993103i \(0.462593\pi\)
\(32\) −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 −0.528632 0.848851i \(-0.677295\pi\)
0.115949 + 0.993255i \(0.463009\pi\)
\(38\) 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 −0.276816 0.960923i \(-0.589279\pi\)
0.960923 + 0.276816i \(0.0892794\pi\)
\(42\) 31.2059 + 64.7996i 0.742996 + 1.54285i
\(43\) 0.679170 6.02780i 0.0157947 0.140181i −0.983340 0.181776i \(-0.941815\pi\)
0.999135 + 0.0415949i \(0.0132439\pi\)
\(44\) −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 −0.927594 0.373590i \(-0.878127\pi\)
0.958152 + 0.286261i \(0.0924126\pi\)
\(48\) 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 −0.997699 0.0678006i \(-0.978402\pi\)
0.288110 + 0.957597i \(0.406973\pi\)
\(54\) −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 −0.478232 0.878234i \(-0.658722\pi\)
0.583764 + 0.811923i \(0.301579\pi\)
\(62\) −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 −0.550125 0.835082i \(-0.685420\pi\)
0.995891 0.0905598i \(-0.0288656\pi\)
\(68\) −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 −0.976098 0.217329i \(-0.930265\pi\)
0.438672 0.898647i \(-0.355449\pi\)
\(72\) 8.86813 78.7068i 0.123168 1.09315i
\(73\) −29.1293 3.28209i −0.399032 0.0449601i −0.0898315 0.995957i \(-0.528633\pi\)
−0.309200 + 0.950997i \(0.600061\pi\)
\(74\) 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 0.980741 0.195311i \(-0.0625715\pi\)
−0.888549 + 0.458782i \(0.848286\pi\)
\(80\) 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 0.999633 + 0.0270764i \(0.00861974\pi\)
−0.888891 + 0.458120i \(0.848523\pi\)
\(84\) −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 0.457407 0.889258i \(-0.348778\pi\)
0.643817 + 0.765180i \(0.277350\pi\)
\(90\) 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 0.999696 0.0246414i \(-0.00784441\pi\)
0.411551 + 0.911387i \(0.364987\pi\)
\(98\) 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 −0.988262 0.152770i \(-0.951181\pi\)
0.997478 + 0.0709693i \(0.0226092\pi\)
\(102\) 185.390 + 20.8885i 1.81755 + 0.204789i
\(103\) −65.6998 + 31.6393i −0.637862 + 0.307178i −0.724721 0.689043i \(-0.758031\pi\)
0.0868590 + 0.996221i \(0.472317\pi\)
\(104\) −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 0.0589308 0.998262i \(-0.481231\pi\)
−0.743730 + 0.668480i \(0.766945\pi\)
\(108\) 83.4565 + 238.505i 0.772746 + 2.20838i
\(109\) 119.739 + 27.3296i 1.09852 + 0.250730i 0.733106 0.680114i \(-0.238070\pi\)
0.365415 + 0.930845i \(0.380927\pi\)
\(110\) 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 0.976178 + 0.216973i \(0.0696182\pi\)
−0.228062 + 0.973647i \(0.573239\pi\)
\(114\) −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 0.664025 0.747711i \(-0.268847\pi\)
0.0529652 + 0.998596i \(0.483133\pi\)
\(128\) 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 0.395895 0.918296i \(-0.370434\pi\)
0.181630 + 0.983367i \(0.441863\pi\)
\(132\) −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 −0.967742 0.251943i \(-0.918931\pi\)
0.599528 0.800354i \(-0.295355\pi\)
\(138\) 141.351 + 32.2624i 1.02428 + 0.233785i
\(139\) −84.2699 105.671i −0.606258 0.760224i 0.380080 0.924953i \(-0.375896\pi\)
−0.986339 + 0.164729i \(0.947325\pi\)
\(140\) 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 −0.0230848 0.999734i \(-0.507349\pi\)
0.412969 + 0.910745i \(0.364492\pi\)
\(150\) −117.688 93.8532i −0.784588 0.625688i
\(151\) −203.074 + 161.946i −1.34486 + 1.07249i −0.354340 + 0.935117i \(0.615294\pi\)
−0.990519 + 0.137373i \(0.956134\pi\)
\(152\) 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 −0.989319 0.145769i \(-0.953434\pi\)
0.145769 + 0.989319i \(0.453434\pi\)
\(158\) −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 −0.331073 0.943605i \(-0.607411\pi\)
0.847171 0.531320i \(-0.178304\pi\)
\(164\) 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 0.108665 0.994078i \(-0.465342\pi\)
−0.333411 + 0.942782i \(0.608200\pi\)
\(168\) 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 \(-0.964616\pi\)
0.993828 0.110933i \(-0.0353839\pi\)
\(174\) 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 0.924949 0.380092i \(-0.124108\pi\)
−0.164742 + 0.986337i \(0.552679\pi\)
\(180\) −211.469 + 168.641i −1.17483 + 0.936895i
\(181\) 37.8882 165.999i 0.209327 0.917122i −0.755689 0.654931i \(-0.772698\pi\)
0.965016 0.262191i \(-0.0844451\pi\)
\(182\) −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 0.652431 0.757848i \(-0.273749\pi\)
−0.757848 + 0.652431i \(0.773749\pi\)
\(192\) −7.97777 + 22.7991i −0.0415509 + 0.118746i
\(193\) −157.961 + 251.393i −0.818449 + 1.30255i 0.131867 + 0.991267i \(0.457903\pi\)
−0.950316 + 0.311287i \(0.899240\pi\)
\(194\) −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 0.999985 0.00549749i \(-0.00174991\pi\)
−0.227877 + 0.973690i \(0.573178\pi\)
\(198\) −7.56842 + 9.49050i −0.0382243 + 0.0479318i
\(199\) −70.5672 309.175i −0.354609 1.55364i −0.766399 0.642365i \(-0.777953\pi\)
0.411789 0.911279i \(-0.364904\pi\)
\(200\) −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 0.684978 0.728563i \(-0.259812\pi\)
0.989789 + 0.142537i \(0.0455259\pi\)
\(212\) −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 −0.219079 0.975707i \(-0.570305\pi\)
−0.899432 + 0.437061i \(0.856020\pi\)
\(224\) 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 −0.998429 0.0560385i \(-0.982153\pi\)
0.276805 + 0.960926i \(0.410724\pi\)
\(228\) 62.0955 + 272.058i 0.272349 + 1.19324i
\(229\) 164.093 + 261.153i 0.716564 + 1.14040i 0.984230 + 0.176893i \(0.0566046\pi\)
−0.267667 + 0.963512i \(0.586253\pi\)
\(230\) 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 0.302910 + 0.953019i \(0.402042\pi\)
−0.686412 + 0.727213i \(0.740815\pi\)
\(240\) 357.823 125.208i 1.49093 0.521698i
\(241\) −53.8613 + 111.844i −0.223491 + 0.464084i −0.982321 0.187205i \(-0.940057\pi\)
0.758830 + 0.651289i \(0.225771\pi\)
\(242\) 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 −0.809311 0.587381i \(-0.800159\pi\)
0.880358 + 0.474309i \(0.157302\pi\)
\(252\) 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 −0.946287 0.323327i \(-0.895199\pi\)
0.712289 0.701886i \(-0.247658\pi\)
\(258\) 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 0.232362 0.972629i \(-0.425354\pi\)
0.442967 + 0.896538i \(0.353926\pi\)
\(264\) 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 −0.912849 0.408298i \(-0.866122\pi\)
−0.459124 + 0.888372i \(0.651837\pi\)
\(270\) 297.817 618.424i 1.10303 2.29046i
\(271\) 28.6724 + 18.0161i 0.105802 + 0.0664799i 0.583894 0.811830i \(-0.301528\pi\)
−0.478092 + 0.878310i \(0.658671\pi\)
\(272\) −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 −0.616576 0.787295i \(-0.711481\pi\)
0.231103 + 0.972929i \(0.425767\pi\)
\(278\) 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 0.831975 0.554814i \(-0.187210\pi\)
0.0849569 + 0.996385i \(0.472925\pi\)
\(282\) 10.8432 + 30.9882i 0.0384512 + 0.109887i
\(283\) −221.399 50.5329i −0.782329 0.178561i −0.187340 0.982295i \(-0.559986\pi\)
−0.594989 + 0.803734i \(0.702844\pi\)
\(284\) −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 −0.776970 0.629538i \(-0.783244\pi\)
0.230079 + 0.973172i \(0.426101\pi\)
\(294\) 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 0.0608010 0.998150i \(-0.480634\pi\)
−0.998150 + 0.0608010i \(0.980634\pi\)
\(308\) −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 0.930501 0.366288i \(-0.119372\pi\)
−0.955872 + 0.293782i \(0.905086\pi\)
\(312\) −278.910 63.6593i −0.893941 0.204036i
\(313\) 256.380 + 321.491i 0.819107 + 1.02713i 0.999056 + 0.0434514i \(0.0138354\pi\)
−0.179949 + 0.983676i \(0.557593\pi\)
\(314\) 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 −0.731248 0.682111i \(-0.761062\pi\)
0.561131 0.827727i \(-0.310367\pi\)
\(318\) 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 −0.977425 0.211283i \(-0.932236\pi\)
0.211283 + 0.977425i \(0.432236\pi\)
\(332\) 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 −0.931968 0.362540i \(-0.881910\pi\)
0.954682 + 0.297628i \(0.0961955\pi\)
\(338\) −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 \(-0.854022\pi\)
0.896672 0.442696i \(-0.145978\pi\)
\(348\) 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 0.671264 0.741218i \(-0.265752\pi\)
−0.573264 + 0.819371i \(0.694323\pi\)
\(354\) −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 −0.170525 0.985353i \(-0.554546\pi\)
−0.747680 + 0.664060i \(0.768832\pi\)
\(360\) 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 −0.648094 0.761560i \(-0.724434\pi\)
0.967340 + 0.253484i \(0.0815765\pi\)
\(368\) −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 0.990896 + 0.134633i \(0.0429855\pi\)
−0.834351 + 0.551234i \(0.814157\pi\)
\(374\) −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 −0.403317 0.915061i \(-0.632143\pi\)
−0.189584 + 0.981864i \(0.560714\pi\)
\(380\) −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 −0.475056 0.879956i \(-0.657572\pi\)
0.752183 + 0.658954i \(0.229001\pi\)
\(384\) 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 −0.721160 0.692768i \(-0.756391\pi\)
0.692768 + 0.721160i \(0.256391\pi\)
\(390\) −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 0.0791405 0.996863i \(-0.474782\pi\)
−0.730036 + 0.683409i \(0.760497\pi\)
\(398\) 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 −0.649700 0.760191i \(-0.725106\pi\)
0.885703 + 0.464253i \(0.153677\pi\)
\(402\) 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 −0.690668 0.723172i \(-0.742683\pi\)
0.351886 + 0.936043i \(0.385540\pi\)
\(410\) −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 0.883125 0.469139i \(-0.155436\pi\)
−0.917406 + 0.397952i \(0.869721\pi\)
\(420\) 133.216 1182.33i 0.317181 2.81506i
\(421\) −442.876 49.9001i −1.05196 0.118528i −0.430986 0.902358i \(-0.641834\pi\)
−0.620974 + 0.783831i \(0.713263\pi\)
\(422\) −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 0.997154 + 0.0753857i \(0.0240188\pi\)
−0.865696 + 0.500569i \(0.833124\pi\)
\(432\) 408.046 + 649.401i 0.944550 + 1.50324i
\(433\) 41.5408 + 368.685i 0.0959371 + 0.851465i 0.945864 + 0.324564i \(0.105218\pi\)
−0.849927 + 0.526901i \(0.823354\pi\)
\(434\) 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 0.352622 0.935766i \(-0.385290\pi\)
0.723715 + 0.690099i \(0.242433\pi\)
\(440\) 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 −0.476541 0.879152i \(-0.658110\pi\)
0.175567 + 0.984467i \(0.443824\pi\)
\(444\) −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 −0.768332 0.640051i \(-0.778913\pi\)
0.891493 0.453034i \(-0.149658\pi\)
\(450\) 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 0.983653 + 0.180077i \(0.0576347\pi\)
0.964373 + 0.264547i \(0.0852225\pi\)
\(458\) −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 0.761323 0.648372i \(-0.224550\pi\)
−0.914489 + 0.404611i \(0.867407\pi\)
\(462\) −5.97859 53.0614i −0.0129407 0.114852i
\(463\) 36.6184i 0.0790895i 0.999218 + 0.0395447i \(0.0125908\pi\)
−0.999218 + 0.0395447i \(0.987409\pi\)
\(464\) −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 −0.391168 0.920319i \(-0.627929\pi\)
0.659458 + 0.751742i \(0.270786\pi\)
\(468\) −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 −0.472723 0.881211i \(-0.656729\pi\)
−0.656959 + 0.753926i \(0.728158\pi\)
\(480\) −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 0.611997 0.790860i \(-0.290366\pi\)
−0.907214 + 0.420670i \(0.861795\pi\)
\(488\) −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 0.915013 + 0.403424i \(0.132180\pi\)
−0.802302 + 0.596919i \(0.796392\pi\)
\(492\) 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 −0.499222 0.866474i \(-0.666381\pi\)
0.733663 + 0.679514i \(0.237809\pi\)
\(500\) 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 −0.186664 0.982424i \(-0.559767\pi\)
−0.966124 + 0.258080i \(0.916910\pi\)
\(504\) −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 −0.692419 0.721496i \(-0.743455\pi\)
0.132372 + 0.991200i \(0.457741\pi\)
\(510\) 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 \(0.181165\pi\)
−0.842361 + 0.538914i \(0.818835\pi\)
\(522\) 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 −0.210290 0.977639i \(-0.567441\pi\)
0.972064 0.234717i \(-0.0754162\pi\)
\(542\) −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 −0.962627 0.270830i \(-0.912702\pi\)
0.749788 0.661678i \(-0.230155\pi\)
\(548\) −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 −0.735678 0.677331i \(-0.763136\pi\)
0.496645 + 0.867954i \(0.334565\pi\)
\(558\) 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 −0.111195 + 0.993799i \(0.535468\pi\)
−0.993799 + 0.111195i \(0.964532\pi\)
\(564\) −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 −0.876292 0.481780i \(-0.839990\pi\)
0.985498 + 0.169689i \(0.0542762\pi\)
\(570\) 403.296 641.842i 0.707537 1.12604i
\(571\) 485.208 + 233.664i 0.849751 + 0.409218i 0.807485 0.589888i \(-0.200828\pi\)
0.0422657 + 0.999106i \(0.486542\pi\)
\(572\) −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 0.516502 0.856286i \(-0.327234\pi\)
−0.995589 + 0.0938238i \(0.970091\pi\)
\(578\) −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 0.225568 + 0.974227i \(0.427576\pi\)
−0.625931 + 0.779878i \(0.715281\pi\)
\(588\) −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 0.960806 0.277221i \(-0.0894134\pi\)
−0.815793 + 0.578344i \(0.803699\pi\)
\(594\) −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 −0.950473 0.310806i \(-0.899401\pi\)
0.692421 + 0.721493i \(0.256544\pi\)
\(600\) −656.993 316.391i −1.09499 0.527319i
\(601\) −168.543 481.670i −0.280438 0.801447i −0.994816 0.101687i \(-0.967576\pi\)
0.714378 0.699760i \(-0.246710\pi\)
\(602\) 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 0.995491 0.0948538i \(-0.0302384\pi\)
−0.991639 + 0.129042i \(0.958810\pi\)
\(608\) 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 −0.595527 0.803335i \(-0.703057\pi\)
−0.187998 + 0.982169i \(0.560200\pi\)
\(614\) 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 0.424262 0.905539i \(-0.360533\pi\)
0.896296 + 0.443456i \(0.146248\pi\)
\(618\) 238.875 496.030i 0.386530 0.802637i
\(619\) −111.989 70.3677i −0.180920 0.113680i 0.438527 0.898718i \(-0.355500\pi\)
−0.619447 + 0.785038i \(0.712643\pi\)
\(620\) 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 0.865724 0.500522i \(-0.166858\pi\)
0.562822 + 0.826578i \(0.309716\pi\)
\(632\) −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 −0.991488 0.130202i \(-0.958438\pi\)
−0.312883 + 0.949792i \(0.601295\pi\)
\(642\) 598.623 136.632i 0.932435 0.212822i
\(643\) 597.523 + 476.509i 0.929274 + 0.741071i 0.966078 0.258251i \(-0.0831463\pi\)
−0.0368040 + 0.999323i \(0.511718\pi\)
\(644\) −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 −0.115593 + 0.993297i \(0.536877\pi\)
−0.704520 + 0.709684i \(0.748838\pi\)
\(648\) −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 0.935049 0.354520i \(-0.115356\pi\)
0.832717 + 0.553699i \(0.186784\pi\)
\(654\) −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 0.838552 0.544821i \(-0.183403\pi\)
−0.995297 + 0.0968701i \(0.969117\pi\)
\(660\) −90.4037 20.6341i −0.136975 0.0312637i
\(661\) −741.803 930.192i −1.12224 1.40725i −0.901963 0.431813i \(-0.857874\pi\)
−0.220281 0.975436i \(-0.570697\pi\)
\(662\) 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 −0.895518 0.445025i \(-0.853195\pi\)
0.234596 + 0.972093i \(0.424623\pi\)
\(674\) −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 0.643616 0.765348i \(-0.277433\pi\)
−0.410300 + 0.911950i \(0.634576\pi\)
\(678\) −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 −0.357098 0.934067i \(-0.616234\pi\)
0.507636 + 0.861572i \(0.330520\pi\)
\(684\) −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 −0.950597 0.310429i \(-0.899527\pi\)
0.514174 + 0.857686i \(0.328099\pi\)
\(692\) −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 0.311264 0.950323i \(-0.399248\pi\)
−0.857234 + 0.514927i \(0.827819\pi\)
\(702\) 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 0.921351 + 0.388731i \(0.127086\pi\)
−0.270531 + 0.962711i \(0.587199\pi\)
\(710\) −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 0.344798 0.938677i \(-0.387947\pi\)
−0.991867 + 0.127278i \(0.959376\pi\)
\(720\) −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 −0.0169014 0.999857i \(-0.505380\pi\)
0.206012 + 0.978550i \(0.433952\pi\)
\(728\) −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 −0.395121 0.918629i \(-0.629297\pi\)
0.263838 + 0.964567i \(0.415011\pi\)
\(734\) −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 −0.824376 0.566043i \(-0.808474\pi\)
0.929663 0.368410i \(-0.120098\pi\)
\(740\) −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 0.706294 + 0.707918i \(0.250366\pi\)
−0.993583 + 0.113106i \(0.963920\pi\)
\(744\) −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 0.954316 0.298800i \(-0.0965865\pi\)
−0.683272 + 0.730164i \(0.739444\pi\)
\(752\) −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 −0.854210 0.519929i \(-0.825958\pi\)
0.0978121 + 0.995205i \(0.468816\pi\)
\(758\) 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 0.183610 0.804447i −0.796283 0.604924i \(-0.793204\pi\)
0.979893 0.199523i \(-0.0639393\pi\)
\(762\) −687.481 + 240.560i −0.902206 + 0.315695i
\(763\) 507.639 1054.12i 0.665319 1.38155i
\(764\) −213.237 133.986i −0.279106 0.175374i
\(765\) 713.298 + 249.594i 0.932416 + 0.326266i
\(766\) −344.037 + 344.037i −0.449134 + 0.449134i
\(767\) 309.361 + 642.395i 0.403339 + 0.837543i
\(768\) −114.409 + 1015.41i −0.148970 + 1.32215i
\(769\) −322.552 36.3428i −0.419443 0.0472599i −0.100279 0.994959i \(-0.531974\pi\)
−0.319164 + 0.947700i \(0.603402\pi\)
\(770\) 153.089 73.7240i 0.198817 0.0957454i
\(771\) −402.576 402.576i −0.522148 0.522148i
\(772\) −867.273