Properties

Label 108.4.l.a.59.1
Level 108
Weight 4
Character 108.59
Analytic conductor 6.372
Analytic rank 0
Dimension 312
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 108 = 2^{2} \cdot 3^{3} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 108.l (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.37220628062\)
Analytic rank: \(0\)
Dimension: \(312\)
Relative dimension: \(52\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 59.1
Character \(\chi\) \(=\) 108.59
Dual form 108.4.l.a.11.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.82000 - 0.218140i) q^{2} +(-2.56535 - 4.51874i) q^{3} +(7.90483 + 1.23031i) q^{4} +(2.35563 + 6.47204i) q^{5} +(6.24857 + 13.3025i) q^{6} +(-6.19890 + 1.09303i) q^{7} +(-22.0233 - 5.19383i) q^{8} +(-13.8380 + 23.1843i) q^{9} +O(q^{10})\) \(q+(-2.82000 - 0.218140i) q^{2} +(-2.56535 - 4.51874i) q^{3} +(7.90483 + 1.23031i) q^{4} +(2.35563 + 6.47204i) q^{5} +(6.24857 + 13.3025i) q^{6} +(-6.19890 + 1.09303i) q^{7} +(-22.0233 - 5.19383i) q^{8} +(-13.8380 + 23.1843i) q^{9} +(-5.23107 - 18.7650i) q^{10} +(-20.4109 - 7.42895i) q^{11} +(-14.7192 - 38.8760i) q^{12} +(59.5758 + 49.9900i) q^{13} +(17.7194 - 1.73013i) q^{14} +(23.2024 - 27.2475i) q^{15} +(60.9727 + 19.4508i) q^{16} +(34.1099 + 19.6934i) q^{17} +(44.0806 - 62.3610i) q^{18} +(102.949 - 59.4377i) q^{19} +(10.6582 + 54.0585i) q^{20} +(20.8415 + 25.2072i) q^{21} +(55.9382 + 25.4021i) q^{22} +(-29.8149 + 169.088i) q^{23} +(33.0277 + 112.841i) q^{24} +(59.4173 - 49.8570i) q^{25} +(-157.099 - 153.968i) q^{26} +(140.263 + 3.05466i) q^{27} +(-50.3460 + 1.01368i) q^{28} +(13.5934 + 16.1999i) q^{29} +(-71.3747 + 71.7766i) q^{30} +(123.473 + 21.7717i) q^{31} +(-167.700 - 68.1518i) q^{32} +(18.7915 + 111.289i) q^{33} +(-91.8942 - 62.9761i) q^{34} +(-21.6765 - 37.5448i) q^{35} +(-137.911 + 166.243i) q^{36} +(-100.091 + 173.363i) q^{37} +(-303.283 + 145.157i) q^{38} +(73.0594 - 397.449i) q^{39} +(-18.2639 - 154.770i) q^{40} +(154.750 - 184.424i) q^{41} +(-53.2743 - 75.6308i) q^{42} +(-20.3028 + 55.7814i) q^{43} +(-152.205 - 83.8363i) q^{44} +(-182.647 - 34.9465i) q^{45} +(120.963 - 470.326i) q^{46} +(45.4402 + 257.704i) q^{47} +(-68.5230 - 325.418i) q^{48} +(-285.083 + 103.762i) q^{49} +(-178.433 + 127.636i) q^{50} +(1.48545 - 204.654i) q^{51} +(409.433 + 468.460i) q^{52} -26.8563i q^{53} +(-394.875 - 39.2111i) q^{54} -149.600i q^{55} +(142.197 + 8.12391i) q^{56} +(-532.684 - 312.722i) q^{57} +(-34.7995 - 48.6491i) q^{58} +(104.118 - 37.8960i) q^{59} +(216.934 - 186.841i) q^{60} +(105.359 + 597.518i) q^{61} +(-343.446 - 88.3307i) q^{62} +(60.4392 - 158.842i) q^{63} +(458.048 + 228.770i) q^{64} +(-183.199 + 503.335i) q^{65} +(-28.7154 - 317.935i) q^{66} +(-506.142 + 603.197i) q^{67} +(245.404 + 197.639i) q^{68} +(840.552 - 299.045i) q^{69} +(52.9377 + 110.605i) q^{70} +(-76.4183 + 132.360i) q^{71} +(425.173 - 438.721i) q^{72} +(-273.054 - 472.943i) q^{73} +(320.075 - 467.051i) q^{74} +(-377.717 - 140.591i) q^{75} +(886.923 - 343.186i) q^{76} +(134.645 + 23.7416i) q^{77} +(-292.727 + 1104.87i) q^{78} +(103.543 + 123.398i) q^{79} +(17.7428 + 440.436i) q^{80} +(-346.020 - 641.647i) q^{81} +(-476.626 + 486.319i) q^{82} +(-889.983 + 746.784i) q^{83} +(133.736 + 224.900i) q^{84} +(-47.1060 + 267.151i) q^{85} +(69.4221 - 152.875i) q^{86} +(38.3316 - 102.983i) q^{87} +(410.929 + 269.620i) q^{88} +(1208.50 - 697.729i) q^{89} +(507.441 + 138.392i) q^{90} +(-423.946 - 244.765i) q^{91} +(-443.713 + 1299.93i) q^{92} +(-218.371 - 613.796i) q^{93} +(-71.9260 - 736.639i) q^{94} +(627.194 + 526.278i) q^{95} +(122.249 + 932.626i) q^{96} +(1256.91 + 457.478i) q^{97} +(826.569 - 230.420i) q^{98} +(454.680 - 370.409i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 312q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 9q^{8} - 12q^{9} + O(q^{10}) \) \( 312q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 9q^{8} - 12q^{9} - 3q^{10} - 123q^{12} - 12q^{13} + 69q^{14} - 6q^{16} - 18q^{17} + 351q^{18} + 225q^{20} - 12q^{21} - 6q^{22} - 300q^{24} - 12q^{25} - 12q^{28} - 96q^{29} - 207q^{30} - 696q^{32} + 858q^{33} - 30q^{34} - 1056q^{36} - 6q^{37} - 900q^{38} - 381q^{40} + 138q^{41} + 2574q^{42} + 2655q^{44} - 672q^{45} - 3q^{46} - 435q^{48} - 12q^{49} - 2829q^{50} + 1371q^{52} - 4458q^{54} - 2925q^{56} + 660q^{57} + 885q^{58} + 966q^{60} - 12q^{61} + 1872q^{62} - 3q^{64} - 708q^{65} + 3093q^{66} + 2211q^{68} - 1572q^{69} - 1011q^{70} - 4524q^{72} - 6q^{73} - 5883q^{74} - 198q^{76} - 996q^{77} - 2976q^{78} + 444q^{81} - 12q^{82} + 6324q^{84} - 762q^{85} + 8322q^{86} + 1530q^{88} + 4212q^{89} - 1104q^{90} - 3255q^{92} + 7404q^{93} + 2019q^{94} + 582q^{96} - 66q^{97} + 2898q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(55\)
\(\chi(n)\) \(e\left(\frac{5}{18}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.82000 0.218140i −0.997022 0.0771241i
\(3\) −2.56535 4.51874i −0.493701 0.869632i
\(4\) 7.90483 + 1.23031i 0.988104 + 0.153789i
\(5\) 2.35563 + 6.47204i 0.210694 + 0.578877i 0.999353 0.0359534i \(-0.0114468\pi\)
−0.788660 + 0.614830i \(0.789225\pi\)
\(6\) 6.24857 + 13.3025i 0.425161 + 0.905118i
\(7\) −6.19890 + 1.09303i −0.334709 + 0.0590183i −0.338477 0.940975i \(-0.609912\pi\)
0.00376784 + 0.999993i \(0.498801\pi\)
\(8\) −22.0233 5.19383i −0.973300 0.229537i
\(9\) −13.8380 + 23.1843i −0.512518 + 0.858676i
\(10\) −5.23107 18.7650i −0.165421 0.593402i
\(11\) −20.4109 7.42895i −0.559465 0.203628i 0.0467821 0.998905i \(-0.485103\pi\)
−0.606247 + 0.795277i \(0.707326\pi\)
\(12\) −14.7192 38.8760i −0.354088 0.935212i
\(13\) 59.5758 + 49.9900i 1.27103 + 1.06652i 0.994415 + 0.105537i \(0.0336562\pi\)
0.276612 + 0.960982i \(0.410788\pi\)
\(14\) 17.7194 1.73013i 0.338264 0.0330283i
\(15\) 23.2024 27.2475i 0.399390 0.469018i
\(16\) 60.9727 + 19.4508i 0.952698 + 0.303918i
\(17\) 34.1099 + 19.6934i 0.486640 + 0.280962i 0.723179 0.690660i \(-0.242680\pi\)
−0.236540 + 0.971622i \(0.576013\pi\)
\(18\) 44.0806 62.3610i 0.577217 0.816591i
\(19\) 102.949 59.4377i 1.24306 0.717682i 0.273345 0.961916i \(-0.411870\pi\)
0.969716 + 0.244234i \(0.0785366\pi\)
\(20\) 10.6582 + 54.0585i 0.119163 + 0.604393i
\(21\) 20.8415 + 25.2072i 0.216570 + 0.261936i
\(22\) 55.9382 + 25.4021i 0.542094 + 0.246170i
\(23\) −29.8149 + 169.088i −0.270297 + 1.53293i 0.483219 + 0.875500i \(0.339468\pi\)
−0.753516 + 0.657430i \(0.771644\pi\)
\(24\) 33.0277 + 112.841i 0.280906 + 0.959735i
\(25\) 59.4173 49.8570i 0.475338 0.398856i
\(26\) −157.099 153.968i −1.18499 1.16137i
\(27\) 140.263 + 3.05466i 0.999763 + 0.0217729i
\(28\) −50.3460 + 1.01368i −0.339804 + 0.00684167i
\(29\) 13.5934 + 16.1999i 0.0870422 + 0.103733i 0.807808 0.589446i \(-0.200654\pi\)
−0.720765 + 0.693179i \(0.756210\pi\)
\(30\) −71.3747 + 71.7766i −0.434373 + 0.436819i
\(31\) 123.473 + 21.7717i 0.715370 + 0.126139i 0.519475 0.854486i \(-0.326128\pi\)
0.195895 + 0.980625i \(0.437239\pi\)
\(32\) −167.700 68.1518i −0.926421 0.376489i
\(33\) 18.7915 + 111.289i 0.0991265 + 0.587060i
\(34\) −91.8942 62.9761i −0.463521 0.317656i
\(35\) −21.6765 37.5448i −0.104686 0.181321i
\(36\) −137.911 + 166.243i −0.638476 + 0.769642i
\(37\) −100.091 + 173.363i −0.444727 + 0.770290i −0.998033 0.0626882i \(-0.980033\pi\)
0.553306 + 0.832978i \(0.313366\pi\)
\(38\) −303.283 + 145.157i −1.29471 + 0.619674i
\(39\) 73.0594 397.449i 0.299971 1.63187i
\(40\) −18.2639 154.770i −0.0721946 0.611783i
\(41\) 154.750 184.424i 0.589461 0.702492i −0.386041 0.922481i \(-0.626158\pi\)
0.975502 + 0.219989i \(0.0706023\pi\)
\(42\) −53.2743 75.6308i −0.195724 0.277859i
\(43\) −20.3028 + 55.7814i −0.0720034 + 0.197828i −0.970474 0.241206i \(-0.922457\pi\)
0.898470 + 0.439034i \(0.144679\pi\)
\(44\) −152.205 83.8363i −0.521493 0.287245i
\(45\) −182.647 34.9465i −0.605052 0.115767i
\(46\) 120.963 470.326i 0.387718 1.50752i
\(47\) 45.4402 + 257.704i 0.141024 + 0.799788i 0.970474 + 0.241207i \(0.0775431\pi\)
−0.829450 + 0.558582i \(0.811346\pi\)
\(48\) −68.5230 325.418i −0.206051 0.978541i
\(49\) −285.083 + 103.762i −0.831145 + 0.302512i
\(50\) −178.433 + 127.636i −0.504684 + 0.361008i
\(51\) 1.48545 204.654i 0.00407853 0.561909i
\(52\) 409.433 + 468.460i 1.09189 + 1.24930i
\(53\) 26.8563i 0.0696038i −0.999394 0.0348019i \(-0.988920\pi\)
0.999394 0.0348019i \(-0.0110800\pi\)
\(54\) −394.875 39.2111i −0.995106 0.0988139i
\(55\) 149.600i 0.366764i
\(56\) 142.197 + 8.12391i 0.339319 + 0.0193858i
\(57\) −532.684 312.722i −1.23782 0.726685i
\(58\) −34.7995 48.6491i −0.0787827 0.110137i
\(59\) 104.118 37.8960i 0.229747 0.0836211i −0.224581 0.974455i \(-0.572101\pi\)
0.454328 + 0.890834i \(0.349879\pi\)
\(60\) 216.934 186.841i 0.466768 0.402017i
\(61\) 105.359 + 597.518i 0.221144 + 1.25417i 0.869921 + 0.493191i \(0.164170\pi\)
−0.648777 + 0.760979i \(0.724719\pi\)
\(62\) −343.446 88.3307i −0.703511 0.180936i
\(63\) 60.4392 158.842i 0.120867 0.317655i
\(64\) 458.048 + 228.770i 0.894625 + 0.446817i
\(65\) −183.199 + 503.335i −0.349585 + 0.960477i
\(66\) −28.7154 317.935i −0.0535548 0.592956i
\(67\) −506.142 + 603.197i −0.922912 + 1.09988i 0.0718242 + 0.997417i \(0.477118\pi\)
−0.994736 + 0.102467i \(0.967326\pi\)
\(68\) 245.404 + 197.639i 0.437642 + 0.352459i
\(69\) 840.552 299.045i 1.46653 0.521750i
\(70\) 52.9377 + 110.605i 0.0903895 + 0.188854i
\(71\) −76.4183 + 132.360i −0.127735 + 0.221244i −0.922799 0.385282i \(-0.874104\pi\)
0.795064 + 0.606526i \(0.207437\pi\)
\(72\) 425.173 438.721i 0.695932 0.718107i
\(73\) −273.054 472.943i −0.437788 0.758271i 0.559731 0.828675i \(-0.310905\pi\)
−0.997519 + 0.0704037i \(0.977571\pi\)
\(74\) 320.075 467.051i 0.502810 0.733696i
\(75\) −377.717 140.591i −0.581533 0.216453i
\(76\) 886.923 343.186i 1.33864 0.517975i
\(77\) 134.645 + 23.7416i 0.199276 + 0.0351377i
\(78\) −292.727 + 1104.87i −0.424934 + 1.60387i
\(79\) 103.543 + 123.398i 0.147463 + 0.175739i 0.834719 0.550675i \(-0.185630\pi\)
−0.687257 + 0.726414i \(0.741185\pi\)
\(80\) 17.7428 + 440.436i 0.0247964 + 0.615529i
\(81\) −346.020 641.647i −0.474650 0.880175i
\(82\) −476.626 + 486.319i −0.641884 + 0.654938i
\(83\) −889.983 + 746.784i −1.17697 + 0.987593i −0.176973 + 0.984216i \(0.556631\pi\)
−0.999994 + 0.00337756i \(0.998925\pi\)
\(84\) 133.736 + 224.900i 0.173711 + 0.292126i
\(85\) −47.1060 + 267.151i −0.0601101 + 0.340901i
\(86\) 69.4221 152.875i 0.0870462 0.191685i
\(87\) 38.3316 102.983i 0.0472366 0.126908i
\(88\) 410.929 + 269.620i 0.497787 + 0.326610i
\(89\) 1208.50 697.729i 1.43934 0.831001i 0.441533 0.897245i \(-0.354435\pi\)
0.997803 + 0.0662441i \(0.0211016\pi\)
\(90\) 507.441 + 138.392i 0.594322 + 0.162086i
\(91\) −423.946 244.765i −0.488369 0.281960i
\(92\) −443.713 + 1299.93i −0.502829 + 1.47313i
\(93\) −218.371 613.796i −0.243485 0.684384i
\(94\) −71.9260 736.639i −0.0789213 0.808282i
\(95\) 627.194 + 526.278i 0.677355 + 0.568368i
\(96\) 122.249 + 932.626i 0.129968 + 0.991518i
\(97\) 1256.91 + 457.478i 1.31567 + 0.478864i 0.902068 0.431594i \(-0.142049\pi\)
0.413601 + 0.910458i \(0.364271\pi\)
\(98\) 826.569 230.420i 0.852001 0.237510i
\(99\) 454.680 370.409i 0.461587 0.376036i
\(100\) 531.023 321.009i 0.531023 0.321009i
\(101\) 778.009 137.184i 0.766483 0.135152i 0.223281 0.974754i \(-0.428323\pi\)
0.543201 + 0.839602i \(0.317212\pi\)
\(102\) −48.8322 + 576.802i −0.0474030 + 0.559920i
\(103\) −405.096 1112.99i −0.387528 1.06472i −0.968111 0.250522i \(-0.919398\pi\)
0.580583 0.814201i \(1.69718\pi\)
\(104\) −1052.41 1410.37i −0.992285 1.32979i
\(105\) −114.047 + 194.266i −0.105999 + 0.180556i
\(106\) −5.85843 + 75.7349i −0.00536813 + 0.0693965i
\(107\) 1135.58 1.02599 0.512994 0.858392i \(-0.328536\pi\)
0.512994 + 0.858392i \(0.328536\pi\)
\(108\) 1105.00 + 196.713i 0.984521 + 0.175266i
\(109\) −1171.35 −1.02931 −0.514657 0.857396i \(-0.672081\pi\)
−0.514657 + 0.857396i \(0.672081\pi\)
\(110\) −32.6337 + 421.872i −0.0282864 + 0.365672i
\(111\) 1040.15 + 7.54978i 0.889431 + 0.00645579i
\(112\) −399.224 53.9283i −0.336814 0.0454977i
\(113\) −534.547 1468.66i −0.445008 1.22265i −0.936159 0.351576i \(-0.885646\pi\)
0.491151 0.871074i \(-0.336576\pi\)
\(114\) 1433.95 + 998.077i 1.17809 + 0.819986i
\(115\) −1164.58 + 205.347i −0.944327 + 0.166510i
\(116\) 87.5223 + 144.782i 0.0700538 + 0.115885i
\(117\) −1983.39 + 689.459i −1.56722 + 0.544791i
\(118\) −301.881 + 84.1545i −0.235512 + 0.0656530i
\(119\) −232.970 84.7941i −0.179465 0.0653198i
\(120\) −652.513 + 479.569i −0.496383 + 0.364821i
\(121\) −658.191 552.288i −0.494508 0.414942i
\(122\) −166.769 1707.99i −0.123759 1.26749i
\(123\) −1230.35 226.164i −0.901927 0.165793i
\(124\) 949.251 + 324.012i 0.687461 + 0.234654i
\(125\) 1208.22 + 697.569i 0.864535 + 0.499140i
\(126\) −205.089 + 434.752i −0.145006 + 0.307387i
\(127\) −1709.01 + 986.697i −1.19410 + 0.689411i −0.959233 0.282617i \(-0.908797\pi\)
−0.234863 + 0.972029i \(0.575464\pi\)
\(128\) −1241.79 745.052i −0.857500 0.514483i
\(129\) 304.145 51.3557i 0.207585 0.0350513i
\(130\) 626.419 1379.44i 0.422620 0.930655i
\(131\) −148.339 + 841.271i −0.0989345 + 0.561086i 0.894536 + 0.446996i \(0.147506\pi\)
−0.993470 + 0.114090i \(0.963605\pi\)
\(132\) 11.6231 + 902.842i 0.00766413 + 0.595320i
\(133\) −573.205 + 480.976i −0.373708 + 0.313578i
\(134\) 1558.90 1590.61i 1.00499 1.02543i
\(135\) 310.637 + 914.982i 0.198040 + 0.583327i
\(136\) −648.928 610.874i −0.409155 0.385162i
\(137\) −515.006 613.760i −0.321167 0.382752i 0.581171 0.813782i \(-0.302595\pi\)
−0.902338 + 0.431030i \(0.858150\pi\)
\(138\) −2435.59 + 659.950i −1.50240 + 0.407092i
\(139\) −255.538 45.0583i −0.155931 0.0274949i 0.0951374 0.995464i \(-0.469671\pi\)
−0.251069 + 0.967969i \(0.580782\pi\)
\(140\) −125.157 323.454i −0.0755551 0.195263i
\(141\) 1047.93 866.433i 0.625897 0.517495i
\(142\) 244.373 356.587i 0.144418 0.210733i
\(143\) −844.621 1462.93i −0.493921 0.855497i
\(144\) −1294.69 + 1144.45i −0.749243 + 0.662295i
\(145\) −72.8257 + 126.138i −0.0417093 + 0.0722426i
\(146\) 666.844 + 1393.26i 0.378003 + 0.789776i
\(147\) 1200.21 + 1022.03i 0.673412 + 0.573440i
\(148\) −1004.49 + 1247.26i −0.557898 + 0.692732i
\(149\) −1230.94 + 1466.98i −0.676796 + 0.806574i −0.989692 0.143213i \(-0.954257\pi\)
0.312896 + 0.949787i \(0.398701\pi\)
\(150\) 1034.49 + 478.861i 0.563107 + 0.260659i
\(151\) 926.751 2546.23i 0.499457 1.37225i −0.392345 0.919818i \(-0.628336\pi\)
0.891801 0.452427i \(-0.149442\pi\)
\(152\) −2575.99 + 774.312i −1.37461 + 0.413191i
\(153\) −928.590 + 518.297i −0.490667 + 0.273868i
\(154\) −374.521 96.3227i −0.195972 0.0504020i
\(155\) 149.950 + 850.411i 0.0777052 + 0.440688i
\(156\) 1066.51 3051.88i 0.547365 1.56632i
\(157\) 2510.77 913.846i 1.27631 0.464541i 0.387103 0.922036i \(-0.373476\pi\)
0.889212 + 0.457496i \(0.151254\pi\)
\(158\) −265.075 370.570i −0.133470 0.186588i
\(159\) −121.357 + 68.8958i −0.0605296 + 0.0343635i
\(160\) 46.0418 1245.90i 0.0227495 0.615608i
\(161\) 1080.75i 0.529038i
\(162\) 835.807 + 1884.93i 0.405353 + 0.914160i
\(163\) 802.242i 0.385499i −0.981248 0.192750i \(-0.938259\pi\)
0.981248 0.192750i \(-0.0617406\pi\)
\(164\) 1450.17 1267.45i 0.690484 0.603483i
\(165\) −676.003 + 383.775i −0.318950 + 0.181072i
\(166\) 2672.66 1911.79i 1.24963 0.893879i
\(167\) 2924.56 1064.45i 1.35514 0.493232i 0.440594 0.897706i \(-0.354768\pi\)
0.914549 + 0.404474i \(0.132546\pi\)
\(168\) −328.075 663.392i −0.150664 0.304654i
\(169\) 668.768 + 3792.77i 0.304401 + 1.72634i
\(170\) 191.115 743.092i 0.0862228 0.335250i
\(171\) −46.5909 + 3209.30i −0.0208356 + 1.43521i
\(172\) −229.119 + 415.964i −0.101570 + 0.184401i
\(173\) −673.233 + 1849.69i −0.295867 + 0.812887i 0.699313 + 0.714816i \(0.253489\pi\)
−0.995179 + 0.0980711i \(0.968733\pi\)
\(174\) −130.560 + 282.052i −0.0568835 + 0.122887i
\(175\) −313.826 + 374.004i −0.135560 + 0.161554i
\(176\) −1100.01 849.970i −0.471114 0.364028i
\(177\) −438.342 373.268i −0.186146 0.158511i
\(178\) −3560.18 + 1703.97i −1.49914 + 0.717518i
\(179\) −197.491 + 342.064i −0.0824646 + 0.142833i −0.904308 0.426881i \(-0.859612\pi\)
0.821843 + 0.569713i \(0.192946\pi\)
\(180\) −1400.80 500.958i −0.580051 0.207440i
\(181\) −888.132 1538.29i −0.364720 0.631714i 0.624011 0.781416i \(-0.285502\pi\)
−0.988731 + 0.149702i \(0.952169\pi\)
\(182\) 1142.13 + 782.717i 0.465168 + 0.318785i
\(183\) 2429.75 2008.93i 0.981487 0.811499i
\(184\) 1534.84 3569.03i 0.614944 1.42996i
\(185\) −1357.79 239.415i −0.539604 0.0951468i
\(186\) 481.915 + 1778.54i 0.189977 + 0.701124i
\(187\) −549.913 655.360i −0.215046 0.256282i
\(188\) 42.1411 + 2093.01i 0.0163482 + 0.811962i
\(189\) −872.815 + 134.377i −0.335915 + 0.0517167i
\(190\) −1653.89 1620.92i −0.631502 0.618916i
\(191\) 2267.12 1902.34i 0.858864 0.720672i −0.102859 0.994696i \(-0.532799\pi\)
0.961723 + 0.274024i \(0.0883547\pi\)
\(192\) −141.299 2656.68i −0.0531112 0.998589i
\(193\) −333.569 + 1891.76i −0.124408 + 0.705555i 0.857249 + 0.514902i \(0.172172\pi\)
−0.981657 + 0.190653i \(0.938939\pi\)
\(194\) −3444.70 1564.27i −1.27482 0.578908i
\(195\) 2744.41 463.400i 1.00785 0.170178i
\(196\) −2381.19 + 469.478i −0.867781 + 0.171093i
\(197\) 3470.13 2003.48i 1.25501 0.724579i 0.282908 0.959147i \(-0.408701\pi\)
0.972100 + 0.234568i \(0.0753676\pi\)
\(198\) −1363.00 + 945.371i −0.489213 + 0.339316i
\(199\) −1770.23 1022.04i −0.630594 0.364074i 0.150388 0.988627i \(-0.451948\pi\)
−0.780982 + 0.624553i \(0.785281\pi\)
\(200\) −1567.51 + 789.410i −0.554199 + 0.279099i
\(201\) 4024.12 + 739.716i 1.41214 + 0.259580i
\(202\) −2223.91 + 217.144i −0.774623 + 0.0756348i
\(203\) −101.971 85.5638i −0.0352560 0.0295833i
\(204\) 263.530 1615.93i 0.0904452 0.554597i
\(205\) 1558.13 + 567.114i 0.530852 + 0.193214i
\(206\) 899.585 + 3227.01i 0.304258 + 1.09144i
\(207\) −3507.61 3031.08i −1.17776 1.01775i
\(208\) 2660.15 + 4206.82i 0.886771 + 1.40236i
\(209\) −2542.84 + 448.372i −0.841589 + 0.148395i
\(210\) 363.991 522.951i 0.119608 0.171843i
\(211\) 1724.72 + 4738.62i 0.562723 + 1.54607i 0.815628 + 0.578577i \(0.196392\pi\)
−0.252905 + 0.967491i \(0.581386\pi\)
\(212\) 33.0416 212.295i 0.0107043 0.0687757i
\(213\) 794.142 + 5.76415i 0.255463 + 0.00185424i
\(214\) −3202.34 247.715i −1.02293 0.0791283i
\(215\) −408.846 −0.129689
\(216\) −3073.18 795.776i −0.968071 0.250674i
\(217\) −789.197 −0.246886
\(218\) 3303.22 + 255.519i 1.02625 + 0.0793849i
\(219\) −1436.63 + 2447.12i −0.443280 + 0.755073i
\(220\) 184.054 1182.56i 0.0564042 0.362401i
\(221\) 1047.65 + 2878.41i 0.318882 + 0.876121i
\(222\) −2931.58 248.189i −0.886284 0.0750331i
\(223\) 4390.58 774.179i 1.31845 0.232479i 0.530223 0.847858i \(-0.322108\pi\)
0.788231 + 0.615379i \(0.210997\pi\)
\(224\) 1114.05 + 239.165i 0.332301 + 0.0713386i
\(225\) 333.682 + 2067.47i 0.0988686 + 0.612583i
\(226\) 1187.05 + 4258.22i 0.349387 + 1.25333i
\(227\) −549.952 200.166i −0.160800 0.0585264i 0.260366 0.965510i \(-0.416157\pi\)
−0.421166 + 0.906984i \(0.638379\pi\)
\(228\) −3826.03 3127.38i −1.11134 0.908403i
\(229\) −4325.64 3629.64i −1.24824 1.04739i −0.996834 0.0795119i \(-0.974664\pi\)
−0.251402 0.967883i \(-0.580892\pi\)
\(230\) 3328.91 325.037i 0.954357 0.0931841i
\(231\) −238.129 669.331i −0.0678258 0.190644i
\(232\) −215.230 427.377i −0.0609076 0.120943i
\(233\) 3907.53 + 2256.02i 1.09867 + 0.634320i 0.935872 0.352339i \(-0.114614\pi\)
0.162802 + 0.986659i \(0.447947\pi\)
\(234\) 5743.57 1511.62i 1.60457 0.422298i
\(235\) −1560.83 + 901.147i −0.433266 + 0.250146i
\(236\) 869.663 171.464i 0.239874 0.0472938i
\(237\) 291.980 784.445i 0.0800258 0.215001i
\(238\) 638.478 + 289.939i 0.173892 + 0.0789663i
\(239\) −143.369 + 813.085i −0.0388023 + 0.220059i −0.998043 0.0625315i \(-0.980083\pi\)
0.959241 + 0.282590i \(0.0911937\pi\)
\(240\) 1944.70 1210.05i 0.523041 0.325451i
\(241\) 2004.49 1681.97i 0.535770 0.449564i −0.334318 0.942460i \(-0.608506\pi\)
0.870088 + 0.492896i \(0.164062\pi\)
\(242\) 1735.62 + 1701.03i 0.461033 + 0.451844i
\(243\) −2011.78 + 3209.62i −0.531093 + 0.847314i
\(244\) 97.7093 + 4852.90i 0.0256360 + 1.27326i
\(245\) −1343.10 1600.64i −0.350235 0.417393i
\(246\) 3420.26 + 906.171i 0.886454 + 0.234859i
\(247\) 9104.58 + 1605.38i 2.34539 + 0.413555i
\(248\) −2606.21 1120.78i −0.667316 0.286975i
\(249\) 5657.64 + 2105.84i 1.43991 + 0.535953i
\(250\) −3255.03 2230.71i −0.823464 0.564329i
\(251\) −2809.39 4866.01i −0.706483 1.22366i −0.966154 0.257967i \(-0.916947\pi\)
0.259671 0.965697i \(1.58361\pi\)
\(252\) 673.187 1181.26i 0.168281 0.295288i
\(253\) 1864.70 3229.75i 0.463370 0.802580i
\(254\) 5034.65 2409.69i 1.24371 0.595264i
\(255\) 1328.03 472.476i 0.326135 0.116030i
\(256\) 3339.33 + 2371.93i 0.815267 + 0.579085i
\(257\) −4595.03 + 5476.15i −1.11529 + 1.32915i −0.176646 + 0.984274i \(0.556525\pi\)
−0.938647 + 0.344880i \(0.887920\pi\)
\(258\) −868.894 + 78.4771i −0.209670 + 0.0189371i
\(259\) 430.964 1184.06i 0.103393 0.284070i
\(260\) −2067.41 + 3753.39i −0.493137 + 0.895289i
\(261\) −563.689 + 90.9773i −0.133684 + 0.0215761i
\(262\) 601.831 2340.03i 0.141913 0.551784i
\(263\) −192.012 1088.95i −0.0450188 0.255314i 0.953989 0.299840i \(-0.0969334\pi\)
−0.999008 + 0.0445259i \(0.985822\pi\)
\(264\) 164.168 2548.55i 0.0382722 0.594138i
\(265\) 173.815 63.2636i 0.0402920 0.0146651i
\(266\) 1721.36 1231.31i 0.396779 0.283822i
\(267\) −6253.08 3670.99i −1.43327 0.841426i
\(268\) −4743.09 + 4145.46i −1.08108 + 0.944866i
\(269\) 113.485i 0.0257224i 0.999917 + 0.0128612i \(0.00409396\pi\)
−0.999917 + 0.0128612i \(0.995906\pi\)
\(270\) −676.404 2648.01i −0.152462 0.596863i
\(271\) 2778.98i 0.622920i 0.950259 + 0.311460i \(0.100818\pi\)
−0.950259 + 0.311460i \(0.899182\pi\)
\(272\) 1696.72 + 1864.22i 0.378231 + 0.415570i
\(273\) −18.4624 + 2543.61i −0.00409302 + 0.563905i
\(274\) 1318.43 + 1843.15i 0.290691 + 0.406382i
\(275\) −1583.14 + 576.217i −0.347153 + 0.126353i
\(276\) 7012.34 1329.76i 1.52932 0.290008i
\(277\) 32.1970 + 182.598i 0.00698386 + 0.0396075i 0.988101 0.153809i \(-0.0491542\pi\)
−0.981117 + 0.193417i \(0.938043\pi\)
\(278\) 710.789 + 182.808i 0.153346 + 0.0394391i
\(279\) −2213.39 + 2561.36i −0.474953 + 0.549623i
\(280\) 282.385 + 939.442i 0.0602706 + 0.200509i
\(281\) 2923.26 8031.59i 0.620594 1.70507i −0.0849337 0.996387i \(-0.527068\pi\)
0.705528 0.708682i \(-0.250710\pi\)
\(282\) −3144.17 + 2214.75i −0.663944 + 0.467682i
\(283\) −1195.94 + 1425.27i −0.251206 + 0.299376i −0.876880 0.480709i \(-0.840379\pi\)
0.625674 + 0.780084i \(0.284824\pi\)
\(284\) −766.918 + 952.269i −0.160240 + 0.198967i
\(285\) 769.144 4184.21i 0.159860 0.869653i
\(286\) 2062.71 + 4309.70i 0.426471 + 0.891042i
\(287\) −757.699 + 1312.37i −0.155838 + 0.269920i
\(288\) 3900.68 2944.92i 0.798090 0.602538i
\(289\) −1680.84 2911.30i −0.342121 0.592571i
\(290\) 232.884 339.823i 0.0471567 0.0688106i
\(291\) −1157.19 6853.24i −0.233112 1.38056i
\(292\) −1576.58 4074.47i −0.315966 0.816577i
\(293\) −3758.53 662.730i −0.749405 0.132140i −0.214115 0.976809i \(-0.568687\pi\)
−0.535290 + 0.844668i \(0.679798\pi\)
\(294\) −3161.64 3143.94i −0.627180 0.623668i
\(295\) 490.529 + 584.590i 0.0968126 + 0.115377i
\(296\) 3104.76 3298.16i 0.609663 0.647642i
\(297\) −2840.19 1104.35i −0.554898 0.215761i
\(298\) 3791.26 3868.37i 0.736987 0.751975i
\(299\) −10229.0 + 8583.14i −1.97845 + 1.66012i
\(300\) −2812.82 1576.05i −0.541327 0.303312i
\(301\) 64.8840 367.975i 0.0124248 0.0704643i
\(302\) −3168.87 + 6978.21i −0.603802 + 1.32964i
\(303\) −2615.76 3163.69i −0.495945 0.599833i
\(304\) 7433.20 1621.64i 1.40238 0.305945i
\(305\) −3618.98 + 2089.42i −0.679416 + 0.392261i
\(306\) 2731.69 1259.04i 0.510327 0.235210i
\(307\) 767.571 + 443.157i 0.142696 + 0.0823854i 0.569648 0.821889i \(-0.307079\pi\)
−0.426952 + 0.904274i \(0.640413\pi\)
\(308\) 1035.14 + 353.328i 0.191501 + 0.0653661i
\(309\) −3990.11 + 4685.74i −0.734594 + 0.862661i
\(310\) −237.352 2430.87i −0.0434861 0.445368i
\(311\) −1046.75 878.325i −0.190854 0.160145i 0.542354 0.840150i \(-0.317533\pi\)
−0.733208 + 0.680005i \(0.761978\pi\)
\(312\) −3673.29 + 8373.67i −0.666536 + 1.51944i
\(313\) −4635.80 1687.29i −0.837160 0.304701i −0.112366 0.993667i \(-0.535843\pi\)
−0.724794 + 0.688966i \(0.758065\pi\)
\(314\) −7279.73 + 2029.35i −1.30834 + 0.364722i
\(315\) 1170.41 + 16.9913i 0.209349 + 0.00303921i
\(316\) 666.675 + 1102.83i 0.118682 + 0.196326i
\(317\) −7993.71 + 1409.51i −1.41631 + 0.249734i −0.828829 0.559501i \(-0.810993\pi\)
−0.587484 + 0.809236i \(0.699882\pi\)
\(318\) 357.255 167.814i 0.0629996 0.0295928i
\(319\) −157.104 431.639i −0.0275741 0.0757591i
\(320\) −401.619 + 3503.40i −0.0701599 + 0.612019i
\(321\) −2913.15 5131.39i −0.506531 0.892231i
\(322\) −235.755 + 3047.72i −0.0408016 + 0.527463i
\(323\) 4682.12 0.806564
\(324\) −1945.80 5497.83i −0.333642 0.942700i
\(325\) 6032.19 1.02956
\(326\) −175.001 + 2262.32i −0.0297313 + 0.384351i
\(327\) 3004.92 + 5293.03i 0.508173 + 0.895124i
\(328\) −4365.97 + 3257.87i −0.734970 + 0.548432i
\(329\) −563.359 1547.82i −0.0944042 0.259374i
\(330\) 1990.05 934.784i 0.331965 0.155934i
\(331\) 2708.98 477.666i 0.449846 0.0793200i 0.0558646 0.998438i \(-0.482208\pi\)
0.393982 + 0.919118i \(0.371097\pi\)
\(332\) −7953.94 + 4808.25i −1.31485 + 0.794840i
\(333\) −2634.23 4719.54i −0.433499 0.776664i
\(334\) −8479.46 + 2363.79i −1.38915 + 0.387249i
\(335\) −5096.20 1854.86i −0.831149 0.302514i
\(336\) 780.460 + 1942.33i 0.126719 + 0.315366i
\(337\) −513.117 430.556i −0.0829414 0.0695961i 0.600374 0.799719i \(-0.295018\pi\)
−0.683316 + 0.730123i \(0.739463\pi\)
\(338\) −1058.57 10841.5i −0.170352 1.74468i
\(339\) −5265.17 + 6183.09i −0.843554 + 0.990617i
\(340\) −701.043 + 2053.83i −0.111822 + 0.327602i
\(341\) −2358.46 1361.66i −0.374539 0.216240i
\(342\) 831.462 9040.07i 0.131463 1.42933i
\(343\) 3523.56 2034.33i 0.554677 0.320243i
\(344\) 736.853 1123.04i 0.115490 0.176018i
\(345\) 3915.46 + 4735.65i 0.611018 + 0.739011i
\(346\) 2302.01 5069.28i 0.357679 0.787647i
\(347\) 472.654 2680.55i 0.0731221 0.414696i −0.926171 0.377104i \(-0.876920\pi\)
0.999293 0.0375924i \(-0.0119689\pi\)
\(348\) 429.706 766.906i 0.0661916 0.118134i
\(349\) 8666.31 7271.90i 1.32922 1.11535i 0.344959 0.938618i \(-0.387893\pi\)
0.984260 0.176729i \(-0.0565515\pi\)
\(350\) 966.576 986.234i 0.147616 0.150618i
\(351\) 8203.57 + 7193.73i 1.24751 + 1.09394i
\(352\) 2916.61 + 2636.87i 0.441636 + 0.399278i
\(353\) −3586.86 4274.66i −0.540820 0.644524i 0.424551 0.905404i \(-0.360432\pi\)
−0.965371 + 0.260880i \(0.915987\pi\)
\(354\) 1154.70 + 1148.24i 0.173366 + 0.172396i
\(355\) −1036.66 182.790i −0.154986 0.0273282i
\(356\) 10411.4 4028.60i 1.55001 0.599762i
\(357\) 214.486 + 1270.26i 0.0317978 + 0.188317i
\(358\) 631.543 921.541i 0.0932348 0.136047i
\(359\) −5292.48 9166.85i −0.778069 1.34765i −0.933054 0.359737i \(-0.882866\pi\)
0.154985 0.987917i \(1.54953\pi\)
\(360\) 3840.97 + 1718.27i 0.562324 + 0.251558i
\(361\) 3636.19 6298.07i 0.530134 0.918220i
\(362\) 2168.97 + 4531.72i 0.314914 + 0.657961i
\(363\) −807.156 + 4391.00i −0.116707 + 0.634897i
\(364\) −3050.08 2456.41i −0.439197 0.353711i
\(365\) 2417.69 2881.29i 0.346706 0.413188i
\(366\) −7290.12 + 5135.16i −1.04115 + 0.733386i
\(367\) 3034.01 8335.88i 0.431537 1.18564i −0.513332 0.858190i \(-0.671589\pi\)
0.944869 0.327448i \(-0.106189\pi\)
\(368\) −5106.79 + 9729.85i −0.723397 + 1.37827i
\(369\) 2134.30 + 6139.82i 0.301104 + 0.866196i
\(370\) 3776.75 + 971.340i 0.530659 + 0.136480i
\(371\) 29.3549 + 166.480i 0.00410789 + 0.0232970i
\(372\) −971.030 5120.62i −0.135338 0.713687i
\(373\) −11319.4 + 4119.91i −1.57130 + 0.571906i −0.973289 0.229583i \(-0.926264\pi\)
−0.598010 + 0.801489i \(0.704042\pi\)
\(374\) 1407.80 + 1968.08i 0.194640 + 0.272104i
\(375\) 52.6169 7249.16i 0.00724566 0.998253i
\(376\) 337.732 5911.50i 0.0463223 0.810804i
\(377\) 1644.66i 0.224680i
\(378\) 2490.65 188.547i 0.338903 0.0256555i
\(379\) 589.279i 0.0798660i 0.999202 + 0.0399330i \(0.0127145\pi\)
−0.999202 + 0.0399330i \(0.987286\pi\)
\(380\) 4310.37 + 4931.78i 0.581888 + 0.665776i
\(381\) 8842.83 + 5191.35i 1.18906 + 0.698060i
\(382\) −6808.26 + 4870.05i −0.911887 + 0.652287i
\(383\) 4008.24 1458.88i 0.534756 0.194635i −0.0605047 0.998168i \(-0.519271\pi\)
0.595261 + 0.803533i \(0.297049\pi\)
\(384\) −181.064 + 7522.65i −0.0240622 + 0.999710i
\(385\) 163.518 + 927.355i 0.0216458 + 0.122759i
\(386\) 1353.33 5262.01i 0.178453 0.693858i
\(387\) −1012.30 1242.61i −0.132967 0.163218i
\(388\) 9372.82 + 5162.67i 1.22637 + 0.675503i
\(389\) 869.853 2389.90i 0.113376 0.311498i −0.870007 0.493039i \(-0.835886\pi\)
0.983383 + 0.181541i \(0.0581084\pi\)
\(390\) −7840.33 + 708.125i −1.01798 + 0.0919419i
\(391\) −4346.91 + 5180.44i −0.562232 + 0.670042i
\(392\) 6817.38 804.497i 0.878392 0.103656i
\(393\) 4182.03 1487.85i 0.536782 0.190972i
\(394\) −10222.8 + 4892.85i −1.30715 + 0.625630i
\(395\) −554.728 + 960.817i −0.0706618 + 0.122390i
\(396\) 4049.89 2368.62i 0.513926 0.300575i
\(397\) −158.394 274.347i −0.0200241 0.0346828i 0.855840 0.517241i \(-0.173041\pi\)
−0.875864 + 0.482558i \(0.839708\pi\)
\(398\) 4769.11 + 3268.32i 0.600637 + 0.411623i
\(399\) 3643.87 + 1356.29i 0.457197 + 0.170174i
\(400\) 4592.59 1884.20i 0.574073 0.235525i
\(401\) 12669.2 + 2233.93i 1.57773 + 0.278197i 0.892815 0.450423i \(-0.148727\pi\)
0.684918 + 0.728620i \(0.259838\pi\)
\(402\) −11186.7 2963.82i −1.38791 0.367716i
\(403\) 6267.66 + 7469.51i 0.774726 + 0.923282i
\(404\) 6318.80 127.224i 0.778149 0.0156674i
\(405\) 3337.67 3750.94i 0.409507 0.460211i
\(406\) 268.894 + 263.534i 0.0328694 + 0.0322142i
\(407\) 3330.86 2794.92i 0.405662 0.340391i
\(408\) −1095.66 + 4499.44i −0.132949 + 0.545969i
\(409\) −2405.05 + 13639.7i −0.290763 + 1.64900i 0.393180 + 0.919462i \(0.371375\pi\)
−0.683943 + 0.729536i \(0.739736\pi\)
\(410\) −4270.23 1939.15i −0.514370 0.233580i
\(411\) −1452.25 + 3901.68i −0.174293 + 0.468262i
\(412\) −1832.89 9296.42i −0.219175 1.11165i
\(413\) −603.999 + 348.719i −0.0719633 + 0.0415480i
\(414\) 9230.28 + 9312.81i 1.09576 + 1.10555i
\(415\) −6929.69 4000.86i −0.819675 0.473239i
\(416\) −6583.96 12443.5i −0.775974 1.46657i
\(417\) 451.937 + 1270.30i 0.0530731 + 0.149177i
\(418\) 7268.63 709.715i 0.850527 0.0830461i
\(419\) 10914.0 + 9157.92i 1.27251 + 1.06777i 0.994230 + 0.107266i \(0.0342097\pi\)
0.278283 + 0.960499i \(0.410235\pi\)
\(420\) −1140.53 + 1395.32i −0.132505 + 0.162107i
\(421\) 5626.47 + 2047.87i 0.651348 + 0.237071i 0.646496 0.762917i \(-0.276234\pi\)
0.00485144 + 0.999988i \(0.498456\pi\)
\(422\) −3830.03 13739.2i −0.441808 1.58486i
\(423\) −6603.49 2512.61i −0.759037 0.288812i
\(424\) −139.487 + 591.464i −0.0159767 + 0.0677453i
\(425\) 3008.57 530.493i 0.343382 0.0605475i
\(426\) −2238.22 189.489i −0.254559 0.0215511i
\(427\) −1306.22 3588.80i −0.148038 0.406731i
\(428\) 8976.56 + 1397.11i 1.01378 + 0.157785i
\(429\) −4443.84 + 7569.53i −0.500118 + 0.851889i
\(430\) 1152.95 + 89.1855i 0.129302 + 0.0100021i
\(431\) 15162.5 1.69455 0.847274 0.531156i \(-0.178242\pi\)
0.847274 + 0.531156i \(0.178242\pi\)
\(432\) 8492.79 + 2914.47i 0.945855 + 0.324589i
\(433\) −903.514 −0.100277 −0.0501387 0.998742i \(-0.515966\pi\)
−0.0501387 + 0.998742i \(0.515966\pi\)
\(434\) 2225.54 + 172.155i 0.246150 + 0.0190408i
\(435\) 756.807 + 5.49317i 0.0834164 + 0.000605465i
\(436\) −9259.34 1441.13i −1.01707 0.158297i
\(437\) 6980.82 + 19179.7i 0.764160 + 2.09951i
\(438\) 4585.11 6587.50i 0.500194 0.718637i
\(439\) −15034.8 + 2651.04i −1.63456 + 0.288216i −0.914162 0.405348i \(-0.867150\pi\)
−0.720394 + 0.693565i \(0.756039\pi\)
\(440\) −776.997 + 3294.68i −0.0841861 + 0.356972i
\(441\) 1539.34 8045.29i 0.166217 0.868728i
\(442\) −2326.49 8345.65i −0.250362 0.898105i
\(443\) 761.798 + 277.272i 0.0817023 + 0.0297372i 0.382548 0.923936i \(-0.375047\pi\)
−0.300846 + 0.953673i \(0.597269\pi\)
\(444\) 8212.93 + 1339.39i 0.877857 + 0.143163i
\(445\) 7362.51 + 6177.88i 0.784307 + 0.658111i
\(446\) −12550.3 + 1225.42i −1.33246 + 0.130102i
\(447\) 9786.68 + 1798.99i 1.03556 + 0.190357i
\(448\) −3089.45 917.463i −0.325810 0.0967546i
\(449\) −9771.90 5641.81i −1.02709 0.592992i −0.110942 0.993827i \(-0.535387\pi\)
−0.916150 + 0.400835i \(0.868720\pi\)
\(450\) −489.986 5903.05i −0.0513293 0.618383i
\(451\) −4528.66 + 2614.62i −0.472830 + 0.272988i
\(452\) −2418.60 12267.1i −0.251685 1.27654i
\(453\) −13883.2 + 2344.21i −1.43993 + 0.243136i
\(454\) 1507.20 + 684.436i 0.155807 + 0.0707537i
\(455\) 585.470 3320.37i 0.0603237 0.342113i
\(456\) 10107.2 + 9653.83i 1.03797 + 0.991408i
\(457\) −2425.09 + 2034.89i −0.248230 + 0.208290i −0.758410 0.651778i \(-0.774023\pi\)
0.510180 + 0.860068i \(0.329579\pi\)
\(458\) 11406.5 + 11179.2i 1.16374 + 1.14054i
\(459\) 4724.20 + 2866.45i 0.480407 + 0.291491i
\(460\) −9458.45 + 190.438i −0.958701 + 0.0193027i
\(461\) 5040.85 + 6007.46i 0.509275 + 0.606931i 0.958010 0.286734i \(-0.0925697\pi\)
−0.448735 + 0.893665i \(0.648125\pi\)
\(462\) 525.518 + 1939.46i 0.0529206 + 0.195307i
\(463\) 1198.03 + 211.245i 0.120253 + 0.0212039i 0.233451 0.972369i \(-0.424998\pi\)
−0.113198 + 0.993572i \(0.536109\pi\)
\(464\) 513.722 + 1252.16i 0.0513986 + 0.125280i
\(465\) 3458.11 2859.18i 0.344873 0.285143i
\(466\) −10527.1 7214.36i −1.04648 0.717165i
\(467\) −9060.63 15693.5i −0.897807 1.55505i −0.830292 0.557329i \(-0.811826\pi\)
−0.0675151 0.997718i \(1.47849\pi\)
\(468\) −16526.6 + 3009.87i −1.63236 + 0.297289i
\(469\) 2478.21 4292.39i 0.243994 0.422610i
\(470\) 4598.13 2200.76i 0.451268 0.215986i
\(471\) −10570.4 9001.19i −1.03410 0.880579i
\(472\) −2489.85 + 293.820i −0.242807 + 0.0286529i
\(473\) 828.795 987.720i 0.0805667 0.0960157i
\(474\) −994.502 + 2148.44i −0.0963692 + 0.208188i
\(475\) 3153.57 8664.37i 0.304623 0.836944i
\(476\) −1737.26 956.908i −0.167284 0.0921424i
\(477\) 622.644 + 371.638i 0.0597671 + 0.0356732i
\(478\) 581.667 2261.63i 0.0556586 0.216411i
\(479\) 1838.49 + 10426.6i 0.175372 + 0.994581i 0.937714 + 0.347408i \(0.112938\pi\)
−0.762343 + 0.647174i \(0.775951\pi\)
\(480\) −5748.02 + 2988.12i −0.546583 + 0.284142i
\(481\) −14629.5 + 5324.68i −1.38679 + 0.504750i
\(482\) −6019.57 + 4305.89i −0.568847 + 0.406905i
\(483\) −4883.63 + 2772.50i −0.460068 + 0.261187i
\(484\) −4523.40 5175.52i −0.424812 0.486055i
\(485\) 9212.42i 0.862504i
\(486\) 6373.36 8612.29i 0.594859 0.803830i
\(487\) 8180.19i 0.761150i −0.924750 0.380575i \(-0.875726\pi\)
0.924750 0.380575i \(-0.124274\pi\)
\(488\) 783.071 13706.5i 0.0726393 1.27144i
\(489\) −3625.12 + 2058.03i −0.335243 + 0.190322i
\(490\) 3438.38 + 4806.80i 0.317000 + 0.443162i
\(491\) 7223.30 2629.07i 0.663916 0.241646i 0.0119900 0.999928i \(-0.496183\pi\)
0.651926 + 0.758282i \(0.273961\pi\)
\(492\) −9447.46 3301.50i −0.865700 0.302527i
\(493\) 144.637 + 820.279i 0.0132133 + 0.0749361i
\(494\) −25324.7 6513.25i −2.30651 0.593209i
\(495\) 3468.36 + 2070.16i 0.314932 + 0.187973i
\(496\) 7105.03 + 3729.13i 0.643196 + 0.337587i
\(497\) 329.035 904.017i 0.0296967 0.0815910i
\(498\) −15495.2 7172.63i −1.39429 0.645408i
\(499\) 2147.07 2558.78i 0.192617 0.229553i −0.661088 0.750308i \(-0.729905\pi\)
0.853706 + 0.520755i \(0.174350\pi\)
\(500\) 8692.58 + 7000.65i 0.777488 + 0.626157i
\(501\) −12312.5 10484.6i −1.09797 0.934967i
\(502\) 6861.02 + 14335.0i 0.610005 + 1.27451i
\(503\) −3839.68 + 6650.52i −0.340363 + 0.589526i −0.984500 0.175384i \(-0.943883\pi\)
0.644137 + 0.764910i \(0.277217\pi\)
\(504\) −2156.07 + 3184.32i −0.190554 + 0.281430i
\(505\) 2720.56 + 4712.15i 0.239729 + 0.415223i
\(506\) −5962.99 + 8701.14i −0.523888 + 0.764452i
\(507\) 15422.9 12751.8i 1.35100 1.11701i
\(508\) −14723.4 + 5697.06i −1.28591 + 0.497572i
\(509\) −8155.13 1437.97i −0.710156 0.125220i −0.193110 0.981177i \(-0.561857\pi\)
−0.517046 + 0.855957i \(0.672969\pi\)
\(510\) −3848.11 + 1042.69i −0.334112 + 0.0905313i
\(511\) 2209.58 + 2633.27i 0.191283 + 0.227963i
\(512\) −8899.52 7417.30i −0.768178 0.640237i
\(513\) 14621.5 8022.43i 1.25839 0.690447i
\(514\) 14152.6 14440.4i 1.21448 1.23918i
\(515\) 6249.08 5243.60i 0.534694 0.448661i
\(516\) 2467.40 31.7652i 0.210506 0.00271005i
\(517\) 986.998 5597.54i 0.0839616 0.476170i
\(518\) −1473.61 + 3245.05i −0.124994 + 0.275250i
\(519\) 10085.3 1702.94i 0.852982 0.144028i
\(520\) 6648.88 10133.6i 0.560717 0.854590i
\(521\) 3850.35 2223.00i 0.323775 0.186932i −0.329299 0.944226i \(-0.606812\pi\)
0.653074 + 0.757294i \(0.273479\pi\)
\(522\) 1609.45 133.593i 0.134950 0.0112016i
\(523\) 2212.03 + 1277.12i 0.184943 + 0.106777i 0.589613 0.807686i \(-0.299280\pi\)
−0.404670 + 0.914463i \(0.632614\pi\)
\(524\) −2207.62 + 6467.60i −0.184046 + 0.539196i
\(525\) 2495.10 + 458.650i 0.207419 + 0.0381279i
\(526\) 303.930 + 3112.73i 0.0251938 + 0.258026i
\(527\) 3782.91 + 3174.24i 0.312688 + 0.262376i
\(528\) −1018.90 + 7151.11i −0.0839806 + 0.589417i
\(529\) −16268.7 5921.34i −1.33712 0.486672i
\(530\) −503.960 + 140.487i −0.0413030 + 0.0115139i
\(531\) −562.200 + 2938.31i −0.0459462 + 0.240136i
\(532\) −5122.83 + 3096.81i −0.417487 + 0.252376i
\(533\) 18438.7 3251.24i 1.49844 0.264216i
\(534\) 16832.9 + 11716.2i 1.36410 + 0.949459i
\(535\) 2675.00 + 7349.52i 0.216169 + 0.593920i
\(536\) 14279.8 10655.5i 1.15073 0.858674i
\(537\) 2052.33 + 14.8965i 0.164925 + 0.00119708i
\(538\) 24.7557 320.029i 0.00198382 0.0256458i
\(539\) 6589.63 0.526597
\(540\) 1329.82 + 7614.96i 0.105975 + 0.606844i
\(541\) 2022.29 0.160712 0.0803559 0.996766i \(-0.474394\pi\)
0.0803559 + 0.996766i \(0.474394\pi\)
\(542\) 606.207 7836.74i 0.0480421 0.621065i
\(543\) −4672.76 + 7959.48i −0.369296 + 0.629050i
\(544\) −4378.10 5627.24i −0.345054 0.443503i
\(545\) −2759.27 7581.04i −0.216870 0.595846i
\(546\) 606.926 7168.95i 0.0475715 0.561910i
\(547\) −14545.4 + 2564.75i −1.13696 + 0.200477i −0.710277 0.703923i \(-0.751430\pi\)
−0.426686 + 0.904400i \(0.640319\pi\)
\(548\) −3315.92 5485.28i −0.258483 0.427591i
\(549\) −15311.0 5825.80i −1.19027 0.452894i
\(550\) 4590.16 1279.59i 0.355864 0.0992032i
\(551\) 2362.31 + 859.812i 0.182646 + 0.0664777i
\(552\) −20064.9 + 2220.26i −1.54713 + 0.171196i
\(553\) −776.734 651.757i −0.0597289 0.0501185i
\(554\) −50.9637 521.951i −0.00390837 0.0400281i
\(555\) 2401.35 + 6749.69i 0.183661 + 0.516231i
\(556\) −1964.55 670.569i −0.149848 0.0511483i
\(557\) 11709.8 + 6760.68i 0.890776 + 0.514290i 0.874196 0.485573i \(-0.161389\pi\)
0.0165796 + 0.999863i \(0.494722\pi\)
\(558\) 6800.49 6740.22i 0.515928 0.511356i
\(559\) −3998.07 + 2308.29i −0.302505 + 0.174652i
\(560\) −591.398 2710.83i −0.0446270 0.204560i
\(561\) −1550.69 + 4166.14i −0.116702 + 0.313537i
\(562\) −9995.61 + 22011.4i −0.750248 + 1.65213i
\(563\) −3077.97 + 17456.1i −0.230411 + 1.30672i 0.621656 + 0.783290i \(0.286460\pi\)
−0.852067 + 0.523433i \(0.824651\pi\)
\(564\) 9349.68 5559.73i 0.698036 0.415083i
\(565\) 8246.00 6919.22i 0.614003 0.515210i
\(566\) 3683.46 3758.37i 0.273547 0.279110i
\(567\) 2846.28 + 3599.30i 0.210816 + 0.266590i
\(568\) 2370.44 2518.10i 0.175108 0.186016i
\(569\) −12151.2 14481.3i −0.895265 1.06694i −0.997393 0.0721645i \(-0.977009\pi\)
0.102127 0.994771i \(-0.467435\pi\)
\(570\) −3081.73 + 11631.7i −0.226455 + 0.854734i
\(571\) −24280.1 4281.24i −1.77949 0.313773i −0.815313 0.579020i \(-0.803435\pi\)
−0.964180 + 0.265247i \(0.914546\pi\)
\(572\) −4876.73 12603.3i −0.356480 0.921279i
\(573\) −14412.1 5364.36i −1.05074 0.391098i
\(574\) 2422.99 3535.61i 0.176191 0.257097i
\(575\) 6658.73 + 11533.3i 0.482936 + 0.836469i
\(576\) −11642.3 + 7453.78i −0.842183 + 0.539191i
\(577\) −8105.23 + 14038.7i −0.584792 + 1.01289i 0.410109 + 0.912036i \(0.365491\pi\)
−0.994901 + 0.100853i \(0.967843\pi\)
\(578\) 4104.91 + 8576.54i 0.295401 + 0.617192i
\(579\) 9404.10 3345.72i 0.674993 0.240144i
\(580\) −730.864 + 907.500i −0.0523232 + 0.0649688i
\(581\) 4700.66 5602.02i 0.335656 0.400019i
\(582\) 1768.31 + 19578.6i 0.125943 + 1.39443i
\(583\) −199.514 + 548.161i −0.0141733 + 0.0389408i
\(584\) 3557.15 + 11833.9i 0.252047 + 0.838514i
\(585\) −9134.34 11212.5i −0.645570 0.792443i
\(586\) 10454.5 + 2688.78i 0.736981 + 0.189544i
\(587\) −1711.17 9704.55i −0.120320 0.682367i −0.983978 0.178290i \(-0.942944\pi\)
0.863658 0.504078i \(1.83183\pi\)
\(588\) 8230.03 + 9555.61i 0.577212 + 0.670181i
\(589\) 14005.6 5097.60i 0.979777 0.356610i
\(590\) −1255.77 1755.55i −0.0876259 0.122500i
\(591\) −17955.3 10541.0i −1.24972 0.733669i
\(592\) −9474.88 + 8623.56i −0.657796 + 0.598693i
\(593\) 20848.0i 1.44372i −0.692040 0.721859i \(-0.743288\pi\)
0.692040 0.721859i \(-0.256712\pi\)
\(594\) 7768.45 + 3733.84i 0.536605 + 0.257915i
\(595\) 1707.53i 0.117650i
\(596\) −11535.2 + 10081.8i −0.792787 + 0.692895i
\(597\) −77.0916 + 10621.1i −0.00528501 + 0.728129i
\(598\) 30718.1 21973.1i 2.10060 1.50259i
\(599\) −23476.2 + 8544.62i −1.60135 + 0.582845i −0.979704 0.200452i \(-0.935759\pi\)
−0.621649 + 0.783296i \(0.713537\pi\)
\(600\) 7588.35 + 5058.06i 0.516322 + 0.344157i
\(601\) 4497.86 + 25508.6i 0.305277 + 1.73131i 0.622197 + 0.782861i \(0.286240\pi\)
−0.316920 + 0.948452i \(0.602649\pi\)
\(602\) −263.243 + 1023.54i −0.0178222 + 0.0692962i
\(603\) −6980.68 20081.6i −0.471435 1.35619i
\(604\) 10458.5 18987.3i 0.704551 1.27911i
\(605\) 2023.97 5560.82i 0.136010 0.373685i
\(606\) 6686.32 + 9492.23i 0.448207 + 0.636296i
\(607\) 9952.84 11861.3i 0.665525 0.793141i −0.322643 0.946521i \(-0.604571\pi\)
0.988167 + 0.153379i \(0.0490157\pi\)
\(608\) −21315.4 + 2951.54i −1.42180 + 0.196876i
\(609\) −125.050 + 680.281i −0.00832064 + 0.0452650i
\(610\) 10661.3 5102.72i 0.707645 0.338693i
\(611\) −10175.5 + 17624.5i −0.673743 + 1.16696i
\(612\) −7978.01 + 2954.59i −0.526948 + 0.195151i
\(613\) 3580.07 + 6200.87i 0.235885 + 0.408565i 0.959530 0.281608i \(-0.0908677\pi\)
−0.723644 + 0.690173i \(0.757534\pi\)
\(614\) −2067.88 1417.14i −0.135917 0.0931453i
\(615\) −1434.51 8495.64i −0.0940569 0.557036i
\(616\) −2842.01 1222.19i −0.185890 0.0799407i
\(617\) 2737.73 + 482.735i 0.178633 + 0.0314979i 0.262249 0.965000i \(-0.415536\pi\)
−0.0836159 + 0.996498i \(0.526647\pi\)
\(618\) 12274.3 12343.4i 0.798938 0.803437i
\(619\) 5414.32 + 6452.53i 0.351567 + 0.418981i 0.912626 0.408794i \(-0.134051\pi\)
−0.561060 + 0.827775i \(0.689606\pi\)
\(620\) 139.064 + 6906.84i 0.00900795 + 0.447396i
\(621\) −4698.42 + 23625.8i −0.303609 + 1.52668i
\(622\) 2760.23 + 2705.21i 0.177934 + 0.174388i
\(623\) −6728.74 + 5646.09i −0.432715 + 0.363091i
\(624\) 12185.3 22812.5i 0.781736 1.46351i
\(625\) 15.0372 85.2804i 0.000962383 0.00545794i
\(626\) 12704.9 + 5769.43i 0.811167 + 0.368359i
\(627\) 8549.35 + 10340.2i 0.544542 + 0.658610i
\(628\) 20971.5 4134.77i 1.33257 0.262731i
\(629\) −6828.21 + 3942.27i −0.432844 + 0.249902i
\(630\) −3296.84 303.228i −0.208491 0.0191760i
\(631\) −4393.10 2536.36i −0.277158 0.160017i 0.354978 0.934875i \(-0.384488\pi\)
−0.632136 + 0.774857i \(0.717822\pi\)
\(632\) −1639.45 3255.42i −0.103187 0.204895i
\(633\) 16988.1 19949.8i 1.06669 1.25266i
\(634\) 22849.7 2231.07i 1.43136 0.139759i
\(635\) −10411.7 8736.49i −0.650673 0.545979i
\(636\) −1044.07 + 395.303i −0.0650943 + 0.0246459i
\(637\) −22171.1 8069.62i −1.37904 0.501931i
\(638\) 348.876 + 1251.49i 0.0216491 + 0.0776601i
\(639\) −2011.20 3603.31i −0.124510 0.223074i
\(640\) 1896.80 9792.00i 0.117152 0.604786i
\(641\) 3982.27 702.182i 0.245383 0.0432676i −0.0496039 0.998769i \(-0.515796\pi\)
0.294987 + 0.955501i \(0.404685\pi\)
\(642\) 7095.74 + 15106.0i 0.436210 + 0.928639i
\(643\) −518.935 1425.76i −0.0318271 0.0874442i 0.922761 0.385372i \(-0.125927\pi\)
−0.954588 + 0.297928i \(0.903705\pi\)
\(644\) 1329.66 8543.16i 0.0813601 0.522745i
\(645\) 1048.83 + 1847.47i 0.0640274 + 0.112781i
\(646\) −13203.6 1021.36i −0.804162 0.0622055i
\(647\) −13928.2 −0.846326 −0.423163 0.906054i \(-0.639080\pi\)
−0.423163 + 0.906054i \(0.639080\pi\)
\(648\) 4287.87 + 15928.3i 0.259944 + 0.965624i
\(649\) −2406.68 −0.145563
\(650\) −17010.8 1315.86i −1.02649 0.0794035i
\(651\) 2024.56 + 3566.17i 0.121888 + 0.214700i
\(652\) 987.006 6341.58i 0.0592855 0.380913i
\(653\) 1429.67 + 3927.99i 0.0856775 + 0.235397i 0.975131 0.221628i \(-0.0711371\pi\)
−0.889454 + 0.457025i \(0.848915\pi\)
\(654\) −7319.27 15581.9i −0.437624 0.931650i
\(655\) −5794.17 + 1021.67i −0.345644 + 0.0609464i
\(656\) 13022.7 8234.81i 0.775079 0.490115i
\(657\) 14743.3 + 214.036i 0.875483 + 0.0127098i
\(658\) 1251.03 + 4487.74i 0.0741191 + 0.265882i
\(659\) 9091.93 + 3309.19i 0.537437 + 0.195611i 0.596456 0.802646i \(-0.296575\pi\)
−0.0590189 + 0.998257i \(0.518797\pi\)
\(660\) −5815.85 + 2201.99i −0.343002 + 0.129867i
\(661\) 10369.1 + 8700.73i 0.610155 + 0.511981i 0.894692 0.446684i \(-0.147395\pi\)
−0.284537 + 0.958665i \(0.591840\pi\)
\(662\) −7743.53 + 756.084i −0.454624 + 0.0443898i
\(663\) 10319.2 12118.2i 0.604470 0.709851i
\(664\) 23479.0 11824.2i 1.37223 0.691066i
\(665\) −4463.15 2576.80i −0.260261 0.150262i
\(666\) 6399.02 + 13883.7i 0.372308 + 0.807784i
\(667\) −3144.51 + 1815.48i −0.182542 + 0.105391i
\(668\) 24427.7 4816.20i 1.41488 0.278959i
\(669\) −14761.7 17853.9i −0.853093 1.03179i
\(670\) 13966.7 + 6342.41i 0.805343 + 0.365714i
\(671\) 2288.47 12978.6i 0.131662 0.746695i
\(672\) −1777.20 5647.64i −0.102019 0.324200i
\(673\) 4195.46 3520.41i 0.240302 0.201637i −0.514681 0.857382i \(-0.672090\pi\)
0.754983 + 0.655745i \(0.227645\pi\)
\(674\) 1353.07 + 1326.10i 0.0773268 + 0.0757856i
\(675\) 8486.33 6811.59i 0.483910 0.388412i
\(676\) 620.214 + 30804.0i 0.0352875 + 1.75262i
\(677\) 5487.23 + 6539.42i 0.311508 + 0.371241i 0.898970 0.438011i \(-0.144317\pi\)
−0.587461 + 0.809252i \(0.699873\pi\)
\(678\) 16196.6 16287.8i 0.917442 0.922608i
\(679\) −8291.50 1462.02i −0.468628 0.0826318i
\(680\) 2424.97 5638.88i 0.136755 0.318002i
\(681\) 506.319 + 2998.59i 0.0284907 + 0.168731i
\(682\) 6353.83 + 4354.35i 0.356746 + 0.244482i
\(683\) 5308.39 + 9194.41i 0.297394 + 0.515101i 0.975539 0.219827i \(-0.0705492\pi\)
−0.678145 + 0.734928i \(0.737216\pi\)
\(684\) −4316.73 + 25311.7i −0.241307 + 1.41493i
\(685\) 2759.11 4778.93i 0.153898 0.266560i
\(686\) −10380.2 + 4968.18i −0.577723 + 0.276510i
\(687\) −5304.64 + 28857.7i −0.294592 + 1.60261i
\(688\) −2322.91 + 3006.24i −0.128721 + 0.166587i
\(689\) 1342.55 1599.99i 0.0742337 0.0884683i
\(690\) −10008.6 14208.7i −0.552203 0.783934i
\(691\) 6350.52 17447.9i 0.349617 0.960564i −0.632875 0.774254i \(-0.718125\pi\)
0.982491 0.186309i \(-0.0596527\pi\)
\(692\) −7597.48 + 13793.2i −0.417360 + 0.757716i
\(693\) −2413.65 + 2793.11i −0.132304 + 0.153105i
\(694\) −1917.62 + 7456.06i −0.104887 + 0.407821i
\(695\) −310.334 1759.99i −0.0169376 0.0960581i
\(696\) −1379.07 + 2068.94i −0.0751054 + 0.112677i
\(697\) 8910.45 3243.14i 0.484229 0.176245i
\(698\) −26025.3 + 18616.3i −1.41128 + 1.00951i
\(699\) 170.169 23444.6i 0.00920798 1.26861i
\(700\) −2940.88 + 2570.33i −0.158793 + 0.138785i
\(701\) 8604.18i 0.463588i 0.972765 + 0.231794i \(0.0744596\pi\)
−0.972765 + 0.231794i \(0.925540\pi\)
\(702\) −21564.9 22075.9i −1.15942 1.18689i
\(703\) 23796.8i 1.27669i
\(704\) −7649.64 8072.22i −0.409527 0.432150i
\(705\) 8076.12 + 4741.24i 0.431439 + 0.253284i
\(706\) 9182.49 + 12837.0i 0.489501 + 0.684314i
\(707\) −4672.85 + 1700.78i −0.248572 + 0.0904730i
\(708\) −3005.79 3489.91i −0.159554 0.185253i
\(709\) 533.906 + 3027.93i 0.0282810 + 0.160390i 0.995678 0.0928767i \(-0.0296062\pi\)
−0.967397 + 0.253266i \(0.918495\pi\)
\(710\) 2883.50 + 741.605i 0.152416 + 0.0391999i
\(711\) −4293.73 + 692.992i −0.226480 + 0.0365531i
\(712\) −30239.0 + 9089.51i −1.59165 + 0.478432i
\(713\) −7362.69 + 20228.8i −0.386725 + 1.06252i
\(714\) −327.757 3628.91i −0.0171793 0.190208i
\(715\) 7478.50 8912.53i 0.391161 0.466168i
\(716\) −1981.98 + 2460.98i −0.103450 + 0.128452i
\(717\) 4041.91 1438.00i 0.210527 0.0748996i
\(718\) 12925.2 + 27005.0i 0.671814 + 1.40365i
\(719\) −13481.0 + 23349.8i −0.699244 + 1.21113i 0.269484 + 0.963005i \(0.413147\pi\)
−0.968729 + 0.248122i \(0.920187\pi\)
\(720\) −10456.7 5683.40i −0.541248 0.294178i
\(721\) 3727.69 + 6456.55i 0.192547 + 0.333502i
\(722\) −11627.9 + 16967.4i −0.599372 + 0.874598i
\(723\) −12742.6 4742.94i −0.655466 0.243972i
\(724\) −5127.96 13252.6i −0.263231 0.680289i
\(725\) 1615.36 + 284.832i 0.0827490 + 0.0145909i
\(726\) 3234.03 12206.6i 0.165325 0.624005i
\(727\) 4010.50 + 4779.53i 0.204596 + 0.243828i 0.858579 0.512681i \(-0.171348\pi\)
−0.653983 + 0.756509i \(0.726903\pi\)
\(728\) 8065.39 + 7592.43i 0.410609 + 0.386530i
\(729\) 19664.3 + 856.910i 0.999052 + 0.0435355i
\(730\) −7446.42 + 7597.86i −0.377540 + 0.385218i
\(731\) −1791.05 + 1502.87i −0.0906217 + 0.0760407i
\(732\) 21678.3 12890.9i 1.09461 0.650904i
\(733\) 4748.06 26927.6i 0.239254 1.35688i −0.594212 0.804309i \(-0.702536\pi\)
0.833466 0.552571i \(-0.186353\pi\)
\(734\) −10374.3 + 22845.4i −0.521693 + 1.14883i
\(735\) −3787.38 + 10175.3i −0.190067 + 0.510643i
\(736\) 16523.6 26324.2i 0.827540 1.31837i
\(737\) 14811.9 8551.67i 0.740304 0.427415i
\(738\) −4679.39 17779.9i −0.233402 0.886839i
\(739\) 21802.2 + 12587.5i 1.08526 + 0.626575i 0.932310 0.361659i \(-0.117790\pi\)
0.152949 + 0.988234i \(0.451123\pi\)
\(740\) −10438.6 3563.04i −0.518552 0.177000i
\(741\) −16102.1 45259.6i −0.798279 2.24379i
\(742\) −46.4650 475.877i −0.00229890 0.0235445i
\(743\) −4654.11 3905.26i −0.229802 0.192826i 0.520615 0.853792i \(-0.325703\pi\)
−0.750417 + 0.660965i \(0.770147\pi\)
\(744\) 1621.30 + 14652.0i 0.0798920 + 0.721999i
\(745\) −12394.0 4511.04i −0.609504 0.221841i
\(746\) 32819.4 9148.96i 1.61073 0.449018i
\(747\) −4998.06 30967.6i −0.244805 1.51679i
\(748\) −3540.67 5857.08i −0.173074 0.286305i
\(749\) −7039.35 + 1241.23i −0.343407 + 0.0605520i
\(750\) −1729.71 + 20431.2i −0.0842134 + 0.994721i
\(751\) 9669.55 + 26566.9i 0.469836 + 1.29086i 0.917882 + 0.396853i \(0.129898\pi\)
−0.448046 + 0.894010i \(0.647880\pi\)
\(752\) −2241.94 + 16596.8i −0.108717 + 0.804817i
\(753\) −14781.2 + 25177.9i −0.715346 + 1.21850i
\(754\) 358.765 4637.94i 0.0173282 0.224010i
\(755\) 18662.4 0.899594
\(756\) −7064.78