Properties

Label 49.4.e.a.8.5
Level $49$
Weight $4$
Character 49.8
Analytic conductor $2.891$
Analytic rank $0$
Dimension $78$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 49 = 7^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 49.e (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.89109359028\)
Analytic rank: \(0\)
Dimension: \(78\)
Relative dimension: \(13\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 8.5
Character \(\chi\) \(=\) 49.8
Dual form 49.4.e.a.43.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.46127 - 1.83238i) q^{2} +(7.38411 - 3.55600i) q^{3} +(0.557879 - 2.44423i) q^{4} +(-0.458224 + 0.220669i) q^{5} +(-17.3061 - 8.33419i) q^{6} +(12.0280 + 14.0828i) q^{7} +(-22.1867 + 10.6846i) q^{8} +(25.0457 - 31.4064i) q^{9} +O(q^{10})\) \(q+(-1.46127 - 1.83238i) q^{2} +(7.38411 - 3.55600i) q^{3} +(0.557879 - 2.44423i) q^{4} +(-0.458224 + 0.220669i) q^{5} +(-17.3061 - 8.33419i) q^{6} +(12.0280 + 14.0828i) q^{7} +(-22.1867 + 10.6846i) q^{8} +(25.0457 - 31.4064i) q^{9} +(1.07394 + 0.517181i) q^{10} +(-23.3352 - 29.2614i) q^{11} +(-4.57223 - 20.0323i) q^{12} +(-8.07065 - 10.1203i) q^{13} +(8.22883 - 42.6187i) q^{14} +(-2.59888 + 3.25889i) q^{15} +(33.9286 + 16.3391i) q^{16} +(27.8294 + 121.929i) q^{17} -94.1469 q^{18} +59.9098 q^{19} +(0.283731 + 1.24311i) q^{20} +(138.895 + 61.2175i) q^{21} +(-19.5189 + 85.5177i) q^{22} +(2.99017 - 13.1008i) q^{23} +(-125.835 + 157.792i) q^{24} +(-77.7750 + 97.5267i) q^{25} +(-6.75074 + 29.5769i) q^{26} +(24.0189 - 105.234i) q^{27} +(41.1318 - 21.5427i) q^{28} +(-23.4087 - 102.560i) q^{29} +9.76917 q^{30} +217.007 q^{31} +(24.1980 + 106.018i) q^{32} +(-276.363 - 133.089i) q^{33} +(182.753 - 229.165i) q^{34} +(-8.61918 - 3.79888i) q^{35} +(-62.7918 - 78.7384i) q^{36} +(-21.6633 - 94.9130i) q^{37} +(-87.5445 - 109.777i) q^{38} +(-95.5823 - 46.0300i) q^{39} +(7.80874 - 9.79185i) q^{40} +(-160.772 + 77.4236i) q^{41} +(-90.7897 - 343.963i) q^{42} +(379.002 + 182.518i) q^{43} +(-84.5397 + 40.7122i) q^{44} +(-4.54614 + 19.9180i) q^{45} +(-28.3750 + 13.6647i) q^{46} +(-387.651 - 486.099i) q^{47} +308.634 q^{48} +(-53.6526 + 338.778i) q^{49} +292.356 q^{50} +(639.074 + 801.374i) q^{51} +(-29.2387 + 14.0806i) q^{52} +(-21.6914 + 95.0364i) q^{53} +(-227.926 + 109.763i) q^{54} +(17.1498 + 8.25892i) q^{55} +(-417.332 - 183.938i) q^{56} +(442.381 - 213.039i) q^{57} +(-153.722 + 192.762i) q^{58} +(-583.525 - 281.011i) q^{59} +(6.51560 + 8.17030i) q^{60} +(-84.7554 - 371.338i) q^{61} +(-317.107 - 397.639i) q^{62} +(743.542 - 25.0419i) q^{63} +(346.740 - 434.798i) q^{64} +(5.93139 + 2.85641i) q^{65} +(159.972 + 700.881i) q^{66} -418.726 q^{67} +313.547 q^{68} +(-24.5066 - 107.371i) q^{69} +(5.63399 + 21.3448i) q^{70} +(-150.991 + 661.533i) q^{71} +(-220.120 + 964.408i) q^{72} +(78.3249 - 98.2163i) q^{73} +(-142.260 + 178.389i) q^{74} +(-227.494 + 996.716i) q^{75} +(33.4224 - 146.433i) q^{76} +(131.407 - 680.583i) q^{77} +(55.3274 + 242.405i) q^{78} -952.335 q^{79} -19.1524 q^{80} +(44.4926 + 194.935i) q^{81} +(376.800 + 181.458i) q^{82} +(-223.673 + 280.478i) q^{83} +(227.116 - 305.339i) q^{84} +(-39.6580 - 49.7295i) q^{85} +(-219.383 - 961.181i) q^{86} +(-537.556 - 674.075i) q^{87} +(830.377 + 399.889i) q^{88} +(108.702 - 136.308i) q^{89} +(43.1403 - 20.7753i) q^{90} +(45.4481 - 235.385i) q^{91} +(-30.3531 - 14.6173i) q^{92} +(1602.41 - 771.679i) q^{93} +(-324.253 + 1420.64i) q^{94} +(-27.4521 + 13.2202i) q^{95} +(555.682 + 696.803i) q^{96} -1351.05 q^{97} +(699.169 - 396.735i) q^{98} -1503.44 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 78 q - 5 q^{2} - 5 q^{3} - 53 q^{4} - 23 q^{5} + 19 q^{6} - 31 q^{8} - 174 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 78 q - 5 q^{2} - 5 q^{3} - 53 q^{4} - 23 q^{5} + 19 q^{6} - 31 q^{8} - 174 q^{9} + 9 q^{10} - 103 q^{11} + 364 q^{12} - 35 q^{13} + 161 q^{14} - 245 q^{15} - 205 q^{16} - 285 q^{17} + 16 q^{18} + 628 q^{19} + 553 q^{20} - 21 q^{21} - 605 q^{22} + 149 q^{23} + 653 q^{24} - 370 q^{25} - 511 q^{26} - 65 q^{27} + 70 q^{28} - 187 q^{29} + 84 q^{30} + 1276 q^{31} + 1399 q^{32} - 23 q^{33} - 765 q^{34} - 805 q^{35} - 1691 q^{36} - 1531 q^{37} - 1041 q^{38} - 1351 q^{39} - 1759 q^{40} - 301 q^{41} + 3395 q^{42} - 257 q^{43} - 883 q^{44} + 3105 q^{45} + 1593 q^{46} + 733 q^{47} - 1948 q^{48} + 1288 q^{49} + 6148 q^{50} + 1197 q^{51} - 1099 q^{52} - 285 q^{53} + 660 q^{54} + 2641 q^{55} - 1988 q^{56} - 2352 q^{57} + 1173 q^{58} - 3603 q^{59} - 175 q^{60} - 2613 q^{61} - 1927 q^{62} - 3066 q^{63} + 1589 q^{64} - 371 q^{65} - 2175 q^{66} + 352 q^{67} + 6076 q^{68} + 5549 q^{69} - 6293 q^{70} - 2623 q^{71} + 6220 q^{72} + 2039 q^{73} - 2411 q^{74} - 3903 q^{75} + 4130 q^{76} + 1029 q^{77} - 3759 q^{78} + 44 q^{79} - 1608 q^{80} + 1394 q^{81} - 10920 q^{82} - 553 q^{83} - 7798 q^{84} + 497 q^{85} - 2985 q^{86} - 4273 q^{87} - 2197 q^{88} - 3957 q^{89} - 2958 q^{90} + 14119 q^{91} - 9136 q^{92} + 6272 q^{93} + 14912 q^{94} + 5866 q^{95} + 21882 q^{96} - 1540 q^{97} - 2303 q^{98} + 10768 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{6}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.46127 1.83238i −0.516637 0.647843i 0.453254 0.891382i \(-0.350263\pi\)
−0.969891 + 0.243539i \(0.921692\pi\)
\(3\) 7.38411 3.55600i 1.42107 0.684353i 0.443759 0.896146i \(-0.353645\pi\)
0.977314 + 0.211794i \(0.0679305\pi\)
\(4\) 0.557879 2.44423i 0.0697348 0.305528i
\(5\) −0.458224 + 0.220669i −0.0409848 + 0.0197372i −0.454264 0.890867i \(-0.650098\pi\)
0.413279 + 0.910604i \(0.364383\pi\)
\(6\) −17.3061 8.33419i −1.17753 0.567070i
\(7\) 12.0280 + 14.0828i 0.649453 + 0.760402i
\(8\) −22.1867 + 10.6846i −0.980525 + 0.472196i
\(9\) 25.0457 31.4064i 0.927620 1.16320i
\(10\) 1.07394 + 0.517181i 0.0339609 + 0.0163547i
\(11\) −23.3352 29.2614i −0.639620 0.802058i 0.351335 0.936250i \(-0.385728\pi\)
−0.990955 + 0.134191i \(0.957156\pi\)
\(12\) −4.57223 20.0323i −0.109991 0.481901i
\(13\) −8.07065 10.1203i −0.172184 0.215912i 0.688250 0.725473i \(-0.258379\pi\)
−0.860434 + 0.509561i \(0.829808\pi\)
\(14\) 8.22883 42.6187i 0.157089 0.813595i
\(15\) −2.59888 + 3.25889i −0.0447351 + 0.0560961i
\(16\) 33.9286 + 16.3391i 0.530134 + 0.255299i
\(17\) 27.8294 + 121.929i 0.397037 + 1.73953i 0.638963 + 0.769238i \(0.279364\pi\)
−0.241926 + 0.970295i \(0.577779\pi\)
\(18\) −94.1469 −1.23281
\(19\) 59.9098 0.723382 0.361691 0.932298i \(-0.382200\pi\)
0.361691 + 0.932298i \(0.382200\pi\)
\(20\) 0.283731 + 1.24311i 0.00317221 + 0.0138984i
\(21\) 138.895 + 61.2175i 1.44330 + 0.636131i
\(22\) −19.5189 + 85.5177i −0.189156 + 0.828747i
\(23\) 2.99017 13.1008i 0.0271084 0.118770i −0.959563 0.281493i \(-0.909171\pi\)
0.986672 + 0.162723i \(0.0520277\pi\)
\(24\) −125.835 + 157.792i −1.07025 + 1.34205i
\(25\) −77.7750 + 97.5267i −0.622200 + 0.780214i
\(26\) −6.75074 + 29.5769i −0.0509204 + 0.223097i
\(27\) 24.0189 105.234i 0.171202 0.750083i
\(28\) 41.1318 21.5427i 0.277614 0.145400i
\(29\) −23.4087 102.560i −0.149893 0.656722i −0.992913 0.118841i \(-0.962082\pi\)
0.843021 0.537881i \(-0.180775\pi\)
\(30\) 9.76917 0.0594533
\(31\) 217.007 1.25728 0.628640 0.777696i \(-0.283612\pi\)
0.628640 + 0.777696i \(0.283612\pi\)
\(32\) 24.1980 + 106.018i 0.133676 + 0.585674i
\(33\) −276.363 133.089i −1.45784 0.702058i
\(34\) 182.753 229.165i 0.921819 1.15592i
\(35\) −8.61918 3.79888i −0.0416259 0.0183465i
\(36\) −62.7918 78.7384i −0.290703 0.364530i
\(37\) −21.6633 94.9130i −0.0962546 0.421719i 0.903725 0.428113i \(-0.140822\pi\)
−0.999980 + 0.00639464i \(0.997965\pi\)
\(38\) −87.5445 109.777i −0.373726 0.468638i
\(39\) −95.5823 46.0300i −0.392447 0.188992i
\(40\) 7.80874 9.79185i 0.0308667 0.0387057i
\(41\) −160.772 + 77.4236i −0.612398 + 0.294916i −0.714257 0.699883i \(-0.753235\pi\)
0.101859 + 0.994799i \(0.467521\pi\)
\(42\) −90.7897 343.963i −0.333551 1.26368i
\(43\) 379.002 + 182.518i 1.34412 + 0.647295i 0.961037 0.276419i \(-0.0891477\pi\)
0.383084 + 0.923714i \(0.374862\pi\)
\(44\) −84.5397 + 40.7122i −0.289655 + 0.139491i
\(45\) −4.54614 + 19.9180i −0.0150600 + 0.0659821i
\(46\) −28.3750 + 13.6647i −0.0909492 + 0.0437988i
\(47\) −387.651 486.099i −1.20308 1.50861i −0.807166 0.590325i \(-0.799000\pi\)
−0.395913 0.918288i \(-0.629572\pi\)
\(48\) 308.634 0.928073
\(49\) −53.6526 + 338.778i −0.156422 + 0.987690i
\(50\) 292.356 0.826907
\(51\) 639.074 + 801.374i 1.75467 + 2.20029i
\(52\) −29.2387 + 14.0806i −0.0779745 + 0.0375506i
\(53\) −21.6914 + 95.0364i −0.0562179 + 0.246307i −0.995227 0.0975851i \(-0.968888\pi\)
0.939009 + 0.343892i \(0.111745\pi\)
\(54\) −227.926 + 109.763i −0.574385 + 0.276609i
\(55\) 17.1498 + 8.25892i 0.0420451 + 0.0202479i
\(56\) −417.332 183.938i −0.995863 0.438924i
\(57\) 442.381 213.039i 1.02798 0.495048i
\(58\) −153.722 + 192.762i −0.348013 + 0.436394i
\(59\) −583.525 281.011i −1.28760 0.620076i −0.340269 0.940328i \(-0.610518\pi\)
−0.947332 + 0.320252i \(0.896232\pi\)
\(60\) 6.51560 + 8.17030i 0.0140193 + 0.0175797i
\(61\) −84.7554 371.338i −0.177899 0.779425i −0.982598 0.185743i \(-0.940531\pi\)
0.804700 0.593682i \(-0.202326\pi\)
\(62\) −317.107 397.639i −0.649558 0.814520i
\(63\) 743.542 25.0419i 1.48694 0.0500791i
\(64\) 346.740 434.798i 0.677226 0.849215i
\(65\) 5.93139 + 2.85641i 0.0113184 + 0.00545067i
\(66\) 159.972 + 700.881i 0.298351 + 1.30716i
\(67\) −418.726 −0.763515 −0.381757 0.924263i \(-0.624681\pi\)
−0.381757 + 0.924263i \(0.624681\pi\)
\(68\) 313.547 0.559164
\(69\) −24.5066 107.371i −0.0427573 0.187332i
\(70\) 5.63399 + 21.3448i 0.00961986 + 0.0364455i
\(71\) −150.991 + 661.533i −0.252384 + 1.10577i 0.676805 + 0.736163i \(0.263364\pi\)
−0.929189 + 0.369605i \(0.879493\pi\)
\(72\) −220.120 + 964.408i −0.360297 + 1.57856i
\(73\) 78.3249 98.2163i 0.125579 0.157471i −0.715068 0.699055i \(-0.753604\pi\)
0.840646 + 0.541585i \(0.182176\pi\)
\(74\) −142.260 + 178.389i −0.223479 + 0.280234i
\(75\) −227.494 + 996.716i −0.350250 + 1.53454i
\(76\) 33.4224 146.433i 0.0504449 0.221014i
\(77\) 131.407 680.583i 0.194483 1.00727i
\(78\) 55.3274 + 242.405i 0.0803153 + 0.351884i
\(79\) −952.335 −1.35628 −0.678140 0.734933i \(-0.737214\pi\)
−0.678140 + 0.734933i \(0.737214\pi\)
\(80\) −19.1524 −0.0267663
\(81\) 44.4926 + 194.935i 0.0610324 + 0.267400i
\(82\) 376.800 + 181.458i 0.507447 + 0.244374i
\(83\) −223.673 + 280.478i −0.295799 + 0.370921i −0.907416 0.420234i \(-0.861948\pi\)
0.611617 + 0.791154i \(0.290520\pi\)
\(84\) 227.116 305.339i 0.295005 0.396609i
\(85\) −39.6580 49.7295i −0.0506060 0.0634579i
\(86\) −219.383 961.181i −0.275078 1.20520i
\(87\) −537.556 674.075i −0.662438 0.830671i
\(88\) 830.377 + 399.889i 1.00589 + 0.484412i
\(89\) 108.702 136.308i 0.129465 0.162344i −0.712874 0.701292i \(-0.752607\pi\)
0.842339 + 0.538948i \(0.181178\pi\)
\(90\) 43.1403 20.7753i 0.0505266 0.0243323i
\(91\) 45.4481 235.385i 0.0523544 0.271154i
\(92\) −30.3531 14.6173i −0.0343971 0.0165648i
\(93\) 1602.41 771.679i 1.78669 0.860423i
\(94\) −324.253 + 1420.64i −0.355789 + 1.55881i
\(95\) −27.4521 + 13.2202i −0.0296476 + 0.0142776i
\(96\) 555.682 + 696.803i 0.590771 + 0.740804i
\(97\) −1351.05 −1.41421 −0.707107 0.707107i \(-0.750000\pi\)
−0.707107 + 0.707107i \(0.750000\pi\)
\(98\) 699.169 396.735i 0.720681 0.408941i
\(99\) −1503.44 −1.52628
\(100\) 194.988 + 244.508i 0.194988 + 0.244508i
\(101\) 843.641 406.276i 0.831143 0.400257i 0.0305993 0.999532i \(-0.490258\pi\)
0.800544 + 0.599274i \(0.204544\pi\)
\(102\) 534.557 2342.05i 0.518912 2.27350i
\(103\) 829.007 399.229i 0.793054 0.381914i 0.00692390 0.999976i \(-0.497796\pi\)
0.786130 + 0.618062i \(0.212082\pi\)
\(104\) 287.192 + 138.304i 0.270784 + 0.130403i
\(105\) −77.1538 + 2.59848i −0.0717089 + 0.00241510i
\(106\) 205.840 99.1271i 0.188612 0.0908309i
\(107\) 427.861 536.521i 0.386569 0.484742i −0.550030 0.835145i \(-0.685384\pi\)
0.936599 + 0.350402i \(0.113955\pi\)
\(108\) −243.815 117.415i −0.217233 0.104614i
\(109\) −1127.77 1414.18i −0.991016 1.24269i −0.970048 0.242914i \(-0.921897\pi\)
−0.0209680 0.999780i \(-0.506675\pi\)
\(110\) −9.92709 43.4934i −0.00860465 0.0376994i
\(111\) −497.475 623.813i −0.425389 0.533421i
\(112\) 177.993 + 674.338i 0.150167 + 0.568919i
\(113\) 383.611 481.033i 0.319355 0.400458i −0.596080 0.802925i \(-0.703276\pi\)
0.915434 + 0.402467i \(0.131847\pi\)
\(114\) −1036.81 499.300i −0.851806 0.410208i
\(115\) 1.52077 + 6.66292i 0.00123315 + 0.00540279i
\(116\) −263.739 −0.211100
\(117\) −519.976 −0.410870
\(118\) 337.771 + 1479.87i 0.263511 + 1.15452i
\(119\) −1382.37 + 1858.48i −1.06489 + 1.43165i
\(120\) 22.8408 100.072i 0.0173756 0.0761273i
\(121\) −15.5231 + 68.0111i −0.0116627 + 0.0510977i
\(122\) −556.580 + 697.929i −0.413036 + 0.517931i
\(123\) −911.838 + 1143.41i −0.668437 + 0.838193i
\(124\) 121.064 530.415i 0.0876762 0.384135i
\(125\) 28.2637 123.831i 0.0202239 0.0886065i
\(126\) −1132.40 1325.86i −0.800654 0.937433i
\(127\) 522.607 + 2289.69i 0.365149 + 1.59982i 0.739914 + 0.672701i \(0.234866\pi\)
−0.374765 + 0.927120i \(0.622277\pi\)
\(128\) −433.437 −0.299303
\(129\) 3447.62 2.35307
\(130\) −3.43336 15.0425i −0.00231635 0.0101486i
\(131\) 59.0007 + 28.4132i 0.0393505 + 0.0189502i 0.453456 0.891279i \(-0.350191\pi\)
−0.414105 + 0.910229i \(0.635905\pi\)
\(132\) −479.478 + 601.246i −0.316161 + 0.396453i
\(133\) 720.598 + 843.700i 0.469803 + 0.550061i
\(134\) 611.872 + 767.263i 0.394460 + 0.494638i
\(135\) 12.2158 + 53.5208i 0.00778790 + 0.0341210i
\(136\) −1920.20 2407.85i −1.21070 1.51818i
\(137\) 2483.82 + 1196.15i 1.54896 + 0.745938i 0.996174 0.0873870i \(-0.0278517\pi\)
0.552783 + 0.833325i \(0.313566\pi\)
\(138\) −160.933 + 201.803i −0.0992716 + 0.124483i
\(139\) 1435.89 691.486i 0.876189 0.421950i 0.0589578 0.998260i \(-0.481222\pi\)
0.817231 + 0.576310i \(0.195508\pi\)
\(140\) −14.0938 + 18.9479i −0.00850815 + 0.0114385i
\(141\) −4591.03 2210.92i −2.74209 1.32052i
\(142\) 1432.82 690.008i 0.846755 0.407776i
\(143\) −107.803 + 472.317i −0.0630417 + 0.276204i
\(144\) 1362.92 656.347i 0.788726 0.379830i
\(145\) 33.3583 + 41.8299i 0.0191052 + 0.0239572i
\(146\) −294.423 −0.166895
\(147\) 808.517 + 2692.36i 0.453642 + 1.51063i
\(148\) −244.074 −0.135559
\(149\) −1023.05 1282.86i −0.562492 0.705342i 0.416525 0.909124i \(-0.363248\pi\)
−0.979016 + 0.203782i \(0.934677\pi\)
\(150\) 2158.79 1039.62i 1.17510 0.565896i
\(151\) −505.231 + 2213.56i −0.272285 + 1.19296i 0.635022 + 0.772494i \(0.280991\pi\)
−0.907308 + 0.420467i \(0.861866\pi\)
\(152\) −1329.20 + 640.111i −0.709294 + 0.341578i
\(153\) 4526.34 + 2179.77i 2.39172 + 1.15179i
\(154\) −1439.10 + 753.729i −0.753028 + 0.394398i
\(155\) −99.4380 + 47.8868i −0.0515294 + 0.0248152i
\(156\) −165.831 + 207.946i −0.0851097 + 0.106724i
\(157\) −1191.57 573.831i −0.605719 0.291699i 0.105776 0.994390i \(-0.466267\pi\)
−0.711495 + 0.702691i \(0.751982\pi\)
\(158\) 1391.62 + 1745.04i 0.700705 + 0.878656i
\(159\) 177.778 + 778.894i 0.0886709 + 0.388493i
\(160\) −34.4830 43.2404i −0.0170383 0.0213653i
\(161\) 220.462 115.467i 0.107918 0.0565220i
\(162\) 292.178 366.380i 0.141702 0.177688i
\(163\) −1369.93 659.721i −0.658287 0.317015i 0.0747505 0.997202i \(-0.476184\pi\)
−0.733038 + 0.680188i \(0.761898\pi\)
\(164\) 99.5497 + 436.156i 0.0473995 + 0.207671i
\(165\) 156.005 0.0736058
\(166\) 840.788 0.393119
\(167\) 196.298 + 860.038i 0.0909581 + 0.398513i 0.999828 0.0185671i \(-0.00591044\pi\)
−0.908870 + 0.417081i \(0.863053\pi\)
\(168\) −3735.71 + 125.816i −1.71557 + 0.0577791i
\(169\) 451.594 1978.56i 0.205550 0.900575i
\(170\) −33.1721 + 145.337i −0.0149658 + 0.0655695i
\(171\) 1500.49 1881.55i 0.671023 0.841437i
\(172\) 657.551 824.543i 0.291499 0.365528i
\(173\) 344.179 1507.95i 0.151257 0.662700i −0.841264 0.540625i \(-0.818188\pi\)
0.992521 0.122075i \(-0.0389550\pi\)
\(174\) −449.642 + 1970.01i −0.195904 + 0.858311i
\(175\) −2308.93 + 77.7630i −0.997365 + 0.0335905i
\(176\) −313.623 1374.07i −0.134320 0.588493i
\(177\) −5308.09 −2.25413
\(178\) −408.610 −0.172060
\(179\) 652.476 + 2858.68i 0.272449 + 1.19368i 0.907113 + 0.420888i \(0.138281\pi\)
−0.634664 + 0.772788i \(0.718861\pi\)
\(180\) 46.1478 + 22.2236i 0.0191092 + 0.00920250i
\(181\) 1501.79 1883.18i 0.616724 0.773348i −0.371155 0.928571i \(-0.621038\pi\)
0.987879 + 0.155223i \(0.0496096\pi\)
\(182\) −497.725 + 260.683i −0.202713 + 0.106171i
\(183\) −1946.32 2440.61i −0.786209 0.985874i
\(184\) 73.6341 + 322.612i 0.0295021 + 0.129257i
\(185\) 30.8710 + 38.7110i 0.0122685 + 0.0153843i
\(186\) −3755.56 1808.58i −1.48049 0.712966i
\(187\) 2918.40 3659.56i 1.14125 1.43109i
\(188\) −1404.40 + 676.322i −0.544820 + 0.262372i
\(189\) 1770.89 927.501i 0.681552 0.356962i
\(190\) 64.3394 + 30.9842i 0.0245667 + 0.0118307i
\(191\) 4185.55 2015.65i 1.58563 0.763600i 0.586699 0.809805i \(-0.300427\pi\)
0.998932 + 0.0462050i \(0.0147127\pi\)
\(192\) 1014.22 4443.61i 0.381226 1.67026i
\(193\) 2400.63 1156.08i 0.895342 0.431174i 0.0711376 0.997467i \(-0.477337\pi\)
0.824204 + 0.566293i \(0.191623\pi\)
\(194\) 1974.26 + 2475.64i 0.730636 + 0.916188i
\(195\) 53.9555 0.0198145
\(196\) 798.118 + 320.136i 0.290859 + 0.116668i
\(197\) 1234.85 0.446598 0.223299 0.974750i \(-0.428317\pi\)
0.223299 + 0.974750i \(0.428317\pi\)
\(198\) 2196.94 + 2754.87i 0.788532 + 0.988788i
\(199\) −2224.23 + 1071.13i −0.792318 + 0.381560i −0.785849 0.618419i \(-0.787774\pi\)
−0.00646926 + 0.999979i \(0.502059\pi\)
\(200\) 683.542 2994.79i 0.241668 1.05882i
\(201\) −3091.92 + 1488.99i −1.08501 + 0.522513i
\(202\) −1977.24 952.188i −0.688703 0.331662i
\(203\) 1162.78 1563.26i 0.402025 0.540489i
\(204\) 2315.26 1114.97i 0.794612 0.382665i
\(205\) 56.5845 70.9547i 0.0192782 0.0241741i
\(206\) −1942.94 935.672i −0.657142 0.316463i
\(207\) −336.557 422.029i −0.113006 0.141705i
\(208\) −108.469 475.234i −0.0361585 0.158421i
\(209\) −1398.01 1753.04i −0.462690 0.580194i
\(210\) 117.504 + 137.578i 0.0386121 + 0.0452084i
\(211\) −2024.88 + 2539.12i −0.660657 + 0.828438i −0.993415 0.114574i \(-0.963450\pi\)
0.332757 + 0.943012i \(0.392021\pi\)
\(212\) 220.189 + 106.038i 0.0713333 + 0.0343523i
\(213\) 1237.48 + 5421.76i 0.398079 + 1.74410i
\(214\) −1608.33 −0.513753
\(215\) −213.944 −0.0678643
\(216\) 591.476 + 2591.42i 0.186319 + 0.816315i
\(217\) 2610.17 + 3056.08i 0.816545 + 0.956038i
\(218\) −943.329 + 4133.00i −0.293075 + 1.28404i
\(219\) 229.102 1003.76i 0.0706909 0.309717i
\(220\) 29.7542 37.3106i 0.00911830 0.0114340i
\(221\) 1009.35 1265.69i 0.307223 0.385245i
\(222\) −416.116 + 1823.12i −0.125801 + 0.551171i
\(223\) 528.605 2315.97i 0.158735 0.695465i −0.831438 0.555618i \(-0.812482\pi\)
0.990173 0.139847i \(-0.0446611\pi\)
\(224\) −1201.98 + 1615.97i −0.358531 + 0.482015i
\(225\) 1115.03 + 4885.26i 0.330379 + 1.44748i
\(226\) −1441.99 −0.424424
\(227\) 2838.00 0.829799 0.414900 0.909867i \(-0.363817\pi\)
0.414900 + 0.909867i \(0.363817\pi\)
\(228\) −273.922 1200.13i −0.0795653 0.348599i
\(229\) −1608.45 774.588i −0.464145 0.223521i 0.187170 0.982327i \(-0.440068\pi\)
−0.651316 + 0.758807i \(0.725783\pi\)
\(230\) 9.98673 12.5230i 0.00286307 0.00359017i
\(231\) −1449.83 5492.78i −0.412951 1.56450i
\(232\) 1615.17 + 2025.36i 0.457075 + 0.573154i
\(233\) 534.684 + 2342.60i 0.150336 + 0.658665i 0.992787 + 0.119892i \(0.0382548\pi\)
−0.842451 + 0.538773i \(0.818888\pi\)
\(234\) 759.827 + 952.792i 0.212271 + 0.266179i
\(235\) 284.898 + 137.200i 0.0790838 + 0.0380847i
\(236\) −1012.39 + 1269.50i −0.279241 + 0.350158i
\(237\) −7032.15 + 3386.51i −1.92737 + 0.928174i
\(238\) 5425.45 182.725i 1.47765 0.0497659i
\(239\) −1300.88 626.471i −0.352080 0.169553i 0.249481 0.968380i \(-0.419740\pi\)
−0.601561 + 0.798827i \(0.705454\pi\)
\(240\) −141.424 + 68.1060i −0.0380369 + 0.0183176i
\(241\) 69.6937 305.348i 0.0186281 0.0816149i −0.964759 0.263133i \(-0.915244\pi\)
0.983388 + 0.181518i \(0.0581012\pi\)
\(242\) 147.305 70.9385i 0.0391287 0.0188434i
\(243\) 2838.81 + 3559.76i 0.749424 + 0.939747i
\(244\) −954.917 −0.250542
\(245\) −50.1728 167.075i −0.0130834 0.0435676i
\(246\) 3427.60 0.888357
\(247\) −483.511 606.304i −0.124555 0.156187i
\(248\) −4814.69 + 2318.63i −1.23279 + 0.593682i
\(249\) −654.251 + 2866.46i −0.166512 + 0.729536i
\(250\) −268.207 + 129.162i −0.0678515 + 0.0326756i
\(251\) 1442.18 + 694.519i 0.362669 + 0.174652i 0.606339 0.795206i \(-0.292637\pi\)
−0.243671 + 0.969858i \(0.578352\pi\)
\(252\) 353.598 1831.35i 0.0883912 0.457796i
\(253\) −453.123 + 218.213i −0.112599 + 0.0542249i
\(254\) 3431.91 4303.47i 0.847783 1.06309i
\(255\) −469.677 226.185i −0.115342 0.0555460i
\(256\) −2140.55 2684.17i −0.522595 0.655314i
\(257\) −361.984 1585.96i −0.0878597 0.384938i 0.911811 0.410611i \(-0.134684\pi\)
−0.999670 + 0.0256723i \(0.991827\pi\)
\(258\) −5037.91 6317.34i −1.21569 1.52442i
\(259\) 1076.08 1446.70i 0.258163 0.347079i
\(260\) 10.2907 12.9041i 0.00245462 0.00307800i
\(261\) −3807.33 1833.51i −0.902942 0.434834i
\(262\) −34.1523 149.631i −0.00805319 0.0352833i
\(263\) 2602.75 0.610236 0.305118 0.952314i \(-0.401304\pi\)
0.305118 + 0.952314i \(0.401304\pi\)
\(264\) 7553.60 1.76095
\(265\) −11.0321 48.3346i −0.00255733 0.0112044i
\(266\) 492.988 2553.28i 0.113635 0.588540i
\(267\) 317.956 1393.06i 0.0728786 0.319302i
\(268\) −233.598 + 1023.46i −0.0532436 + 0.233275i
\(269\) −4345.33 + 5448.88i −0.984906 + 1.23503i −0.0129390 + 0.999916i \(0.504119\pi\)
−0.971967 + 0.235117i \(0.924453\pi\)
\(270\) 80.2197 100.592i 0.0180815 0.0226735i
\(271\) −925.977 + 4056.97i −0.207561 + 0.909385i 0.758623 + 0.651530i \(0.225873\pi\)
−0.966184 + 0.257854i \(0.916984\pi\)
\(272\) −1048.00 + 4591.57i −0.233618 + 1.02355i
\(273\) −501.434 1899.72i −0.111166 0.421159i
\(274\) −1437.75 6299.19i −0.316998 1.38886i
\(275\) 4668.66 1.02375
\(276\) −276.110 −0.0602169
\(277\) −1303.68 5711.77i −0.282781 1.23894i −0.894211 0.447645i \(-0.852263\pi\)
0.611431 0.791298i \(-0.290594\pi\)
\(278\) −3365.28 1620.63i −0.726029 0.349637i
\(279\) 5435.11 6815.42i 1.16628 1.46247i
\(280\) 231.821 7.80754i 0.0494784 0.00166639i
\(281\) −346.731 434.788i −0.0736095 0.0923034i 0.743663 0.668554i \(-0.233087\pi\)
−0.817273 + 0.576251i \(0.804515\pi\)
\(282\) 2657.49 + 11643.2i 0.561175 + 2.45867i
\(283\) 1340.23 + 1680.59i 0.281513 + 0.353006i 0.902404 0.430891i \(-0.141801\pi\)
−0.620891 + 0.783897i \(0.713229\pi\)
\(284\) 1532.70 + 738.110i 0.320243 + 0.154221i
\(285\) −155.698 + 195.239i −0.0323606 + 0.0405789i
\(286\) 1022.99 492.647i 0.211506 0.101856i
\(287\) −3024.11 1332.87i −0.621978 0.274135i
\(288\) 3935.71 + 1895.34i 0.805256 + 0.387791i
\(289\) −9665.67 + 4654.74i −1.96737 + 0.947433i
\(290\) 27.9027 122.250i 0.00565001 0.0247543i
\(291\) −9976.33 + 4804.35i −2.00970 + 0.967821i
\(292\) −196.367 246.236i −0.0393545 0.0493490i
\(293\) 5583.29 1.11324 0.556620 0.830767i \(-0.312098\pi\)
0.556620 + 0.830767i \(0.312098\pi\)
\(294\) 3751.96 5415.78i 0.744281 1.07434i
\(295\) 329.395 0.0650106
\(296\) 1494.74 + 1874.35i 0.293514 + 0.368055i
\(297\) −3639.77 + 1752.82i −0.711114 + 0.342455i
\(298\) −855.733 + 3749.21i −0.166347 + 0.728812i
\(299\) −156.716 + 75.4705i −0.0303114 + 0.0145972i
\(300\) 2309.28 + 1112.09i 0.444422 + 0.214022i
\(301\) 1988.28 + 7532.75i 0.380740 + 1.44246i
\(302\) 4794.36 2308.84i 0.913524 0.439930i
\(303\) 4784.82 5999.98i 0.907198 1.13759i
\(304\) 2032.65 + 978.875i 0.383489 + 0.184679i
\(305\) 120.780 + 151.453i 0.0226748 + 0.0284333i
\(306\) −2620.05 11479.2i −0.489472 2.14452i
\(307\) −4641.84 5820.68i −0.862943 1.08210i −0.995854 0.0909685i \(-0.971004\pi\)
0.132911 0.991128i \(-0.457568\pi\)
\(308\) −1590.19 700.871i −0.294186 0.129662i
\(309\) 4701.82 5895.90i 0.865623 1.08546i
\(310\) 233.053 + 112.232i 0.0426984 + 0.0205624i
\(311\) −1179.03 5165.69i −0.214974 0.941863i −0.961131 0.276093i \(-0.910960\pi\)
0.746157 0.665770i \(-0.231897\pi\)
\(312\) 2612.47 0.474045
\(313\) −3197.95 −0.577504 −0.288752 0.957404i \(-0.593240\pi\)
−0.288752 + 0.957404i \(0.593240\pi\)
\(314\) 689.736 + 3021.93i 0.123962 + 0.543113i
\(315\) −335.183 + 175.551i −0.0599536 + 0.0314006i
\(316\) −531.288 + 2327.72i −0.0945799 + 0.414382i
\(317\) 841.840 3688.34i 0.149156 0.653495i −0.843965 0.536399i \(-0.819784\pi\)
0.993121 0.117096i \(-0.0373586\pi\)
\(318\) 1167.45 1463.93i 0.205872 0.258155i
\(319\) −2454.81 + 3078.23i −0.430855 + 0.540276i
\(320\) −62.9380 + 275.750i −0.0109948 + 0.0481715i
\(321\) 1251.51 5483.21i 0.217608 0.953404i
\(322\) −533.733 235.241i −0.0923720 0.0407127i
\(323\) 1667.26 + 7304.72i 0.287209 + 1.25835i
\(324\) 501.286 0.0859544
\(325\) 1614.69 0.275591
\(326\) 792.975 + 3474.25i 0.134720 + 0.590248i
\(327\) −13356.4 6432.10i −2.25875 1.08776i
\(328\) 2739.76 3435.56i 0.461214 0.578344i
\(329\) 2182.97 11306.0i 0.365809 1.89460i
\(330\) −227.965 285.860i −0.0380275 0.0476850i
\(331\) 2575.97 + 11286.1i 0.427759 + 1.87414i 0.482930 + 0.875659i \(0.339573\pi\)
−0.0551709 + 0.998477i \(0.517570\pi\)
\(332\) 560.768 + 703.181i 0.0926992 + 0.116241i
\(333\) −3523.44 1696.80i −0.579830 0.279232i
\(334\) 1289.07 1616.44i 0.211182 0.264813i
\(335\) 191.870 92.3998i 0.0312925 0.0150697i
\(336\) 3712.26 + 4346.45i 0.602740 + 0.705709i
\(337\) 7035.45 + 3388.10i 1.13723 + 0.547660i 0.905173 0.425043i \(-0.139741\pi\)
0.232054 + 0.972703i \(0.425455\pi\)
\(338\) −4285.37 + 2063.73i −0.689626 + 0.332106i
\(339\) 1122.07 4916.12i 0.179772 0.787631i
\(340\) −143.675 + 69.1900i −0.0229172 + 0.0110363i
\(341\) −5063.91 6349.94i −0.804182 1.00841i
\(342\) −5640.32 −0.891795
\(343\) −5416.29 + 3319.25i −0.852630 + 0.522515i
\(344\) −10358.9 −1.62359
\(345\) 34.9229 + 43.7919i 0.00544981 + 0.00683385i
\(346\) −3266.07 + 1572.85i −0.507471 + 0.244385i
\(347\) −265.526 + 1163.35i −0.0410783 + 0.179976i −0.991305 0.131583i \(-0.957994\pi\)
0.950227 + 0.311559i \(0.100851\pi\)
\(348\) −1947.48 + 937.858i −0.299988 + 0.144467i
\(349\) 9346.38 + 4500.98i 1.43353 + 0.690349i 0.979650 0.200716i \(-0.0643267\pi\)
0.453876 + 0.891065i \(0.350041\pi\)
\(350\) 3516.47 + 4117.20i 0.537038 + 0.628782i
\(351\) −1258.84 + 606.226i −0.191430 + 0.0921880i
\(352\) 2537.58 3182.02i 0.384243 0.481825i
\(353\) 5954.96 + 2867.76i 0.897876 + 0.432394i 0.825121 0.564955i \(-0.191107\pi\)
0.0727549 + 0.997350i \(0.476821\pi\)
\(354\) 7756.55 + 9726.41i 1.16457 + 1.46032i
\(355\) −76.7923 336.449i −0.0114809 0.0503010i
\(356\) −272.525 341.735i −0.0405724 0.0508762i
\(357\) −3598.81 + 18638.9i −0.533527 + 2.76324i
\(358\) 4284.74 5372.89i 0.632557 0.793202i
\(359\) −656.739 316.269i −0.0965497 0.0464959i 0.384986 0.922923i \(-0.374206\pi\)
−0.481535 + 0.876427i \(0.659921\pi\)
\(360\) −111.951 490.488i −0.0163898 0.0718083i
\(361\) −3269.81 −0.476719
\(362\) −5645.22 −0.819631
\(363\) 127.223 + 557.401i 0.0183953 + 0.0805950i
\(364\) −549.979 242.401i −0.0791943 0.0349046i
\(365\) −14.2170 + 62.2889i −0.00203878 + 0.00893247i
\(366\) −1628.01 + 7132.78i −0.232507 + 1.01868i
\(367\) 5932.66 7439.32i 0.843821 1.05812i −0.153725 0.988114i \(-0.549127\pi\)
0.997547 0.0700047i \(-0.0223014\pi\)
\(368\) 315.507 395.634i 0.0446928 0.0560430i
\(369\) −1595.05 + 6988.39i −0.225028 + 0.985911i
\(370\) 25.8222 113.134i 0.00362820 0.0158962i
\(371\) −1599.29 + 837.625i −0.223803 + 0.117216i
\(372\) −992.208 4347.15i −0.138289 0.605885i
\(373\) −353.047 −0.0490083 −0.0245041 0.999700i \(-0.507801\pi\)
−0.0245041 + 0.999700i \(0.507801\pi\)
\(374\) −10970.3 −1.51673
\(375\) −231.642 1014.89i −0.0318985 0.139757i
\(376\) 13794.5 + 6643.07i 1.89201 + 0.911143i
\(377\) −849.014 + 1064.63i −0.115985 + 0.145441i
\(378\) −4287.28 1889.61i −0.583370 0.257119i
\(379\) 836.559 + 1049.01i 0.113380 + 0.142174i 0.835283 0.549820i \(-0.185304\pi\)
−0.721903 + 0.691994i \(0.756732\pi\)
\(380\) 16.9983 + 74.4744i 0.00229472 + 0.0100538i
\(381\) 12001.1 + 15048.9i 1.61374 + 2.02357i
\(382\) −9809.66 4724.08i −1.31389 0.632736i
\(383\) 1033.11 1295.48i 0.137832 0.172836i −0.708125 0.706087i \(-0.750459\pi\)
0.845957 + 0.533251i \(0.179030\pi\)
\(384\) −3200.55 + 1541.30i −0.425331 + 0.204829i
\(385\) 89.9697 + 340.857i 0.0119098 + 0.0451212i
\(386\) −5626.34 2709.50i −0.741900 0.357280i
\(387\) 15224.6 7331.78i 1.99977 0.963037i
\(388\) −753.724 + 3302.28i −0.0986199 + 0.432082i
\(389\) 2519.00 1213.08i 0.328324 0.158113i −0.262458 0.964943i \(-0.584533\pi\)
0.590783 + 0.806831i \(0.298819\pi\)
\(390\) −78.8436 98.8667i −0.0102369 0.0128367i
\(391\) 1680.58 0.217367
\(392\) −2429.32 8089.63i −0.313008 1.04232i
\(393\) 536.705 0.0688885
\(394\) −1804.46 2262.72i −0.230729 0.289325i
\(395\) 436.383 210.151i 0.0555868 0.0267692i
\(396\) −838.738 + 3674.75i −0.106435 + 0.466321i
\(397\) 2680.07 1290.65i 0.338813 0.163164i −0.256739 0.966481i \(-0.582648\pi\)
0.595551 + 0.803317i \(0.296934\pi\)
\(398\) 5212.91 + 2510.41i 0.656532 + 0.316169i
\(399\) 8321.17 + 3667.53i 1.04406 + 0.460166i
\(400\) −4232.29 + 2038.17i −0.529037 + 0.254771i
\(401\) 5030.78 6308.40i 0.626497 0.785602i −0.362745 0.931888i \(-0.618161\pi\)
0.989242 + 0.146286i \(0.0467320\pi\)
\(402\) 7246.52 + 3489.74i 0.899063 + 0.432966i
\(403\) −1751.39 2196.18i −0.216484 0.271462i
\(404\) −522.381 2288.70i −0.0643303 0.281850i
\(405\) −63.4036 79.5056i −0.00777914 0.00975473i
\(406\) −4563.61 + 153.699i −0.557853 + 0.0187880i
\(407\) −2271.77 + 2848.71i −0.276677 + 0.346942i
\(408\) −22741.3 10951.6i −2.75947 1.32889i
\(409\) −1697.77 7438.42i −0.205255 0.899281i −0.967675 0.252199i \(-0.918846\pi\)
0.762420 0.647082i \(-0.224011\pi\)
\(410\) −212.701 −0.0256209
\(411\) 22594.3 2.71167
\(412\) −513.320 2249.00i −0.0613822 0.268933i
\(413\) −3061.23 11597.7i −0.364730 1.38180i
\(414\) −281.515 + 1233.40i −0.0334196 + 0.146421i
\(415\) 40.5998 177.879i 0.00480232 0.0210404i
\(416\) 877.641 1100.53i 0.103437 0.129706i
\(417\) 8143.82 10212.0i 0.956366 1.19924i
\(418\) −1169.37 + 5123.35i −0.136832 + 0.599500i
\(419\) −2581.08 + 11308.4i −0.300940 + 1.31851i 0.567771 + 0.823187i \(0.307806\pi\)
−0.868711 + 0.495319i \(0.835051\pi\)
\(420\) −36.6912 + 190.031i −0.00426273 + 0.0220775i
\(421\) −445.909 1953.65i −0.0516206 0.226165i 0.942537 0.334101i \(-0.108433\pi\)
−0.994158 + 0.107937i \(0.965576\pi\)
\(422\) 7611.53 0.878018
\(423\) −24975.6 −2.87082
\(424\) −534.161 2340.31i −0.0611820 0.268056i
\(425\) −14055.7 6768.89i −1.60424 0.772563i
\(426\) 8126.40 10190.2i 0.924238 1.15896i
\(427\) 4210.05 5660.06i 0.477139 0.641474i
\(428\) −1072.68 1345.10i −0.121145 0.151911i
\(429\) 883.528 + 3870.99i 0.0994339 + 0.435648i
\(430\) 312.630 + 392.025i 0.0350612 + 0.0439654i
\(431\) 2866.48 + 1380.43i 0.320356 + 0.154276i 0.587150 0.809478i \(-0.300250\pi\)
−0.266794 + 0.963754i \(0.585964\pi\)
\(432\) 2534.35 3177.98i 0.282255 0.353937i
\(433\) −5583.54 + 2688.89i −0.619695 + 0.298429i −0.717266 0.696799i \(-0.754607\pi\)
0.0975712 + 0.995229i \(0.468893\pi\)
\(434\) 1785.72 9248.58i 0.197505 1.02292i
\(435\) 395.068 + 190.255i 0.0435450 + 0.0209702i
\(436\) −4085.73 + 1967.58i −0.448787 + 0.216124i
\(437\) 179.140 784.865i 0.0196097 0.0859158i
\(438\) −2174.05 + 1046.97i −0.237170 + 0.114215i
\(439\) 2908.86 + 3647.60i 0.316247 + 0.396561i 0.914394 0.404825i \(-0.132668\pi\)
−0.598147 + 0.801386i \(0.704096\pi\)
\(440\) −468.741 −0.0507872
\(441\) 9296.01 + 10170.0i 1.00378 + 1.09815i
\(442\) −3794.15 −0.408301
\(443\) −8139.18 10206.2i −0.872921 1.09461i −0.994778 0.102061i \(-0.967456\pi\)
0.121857 0.992548i \(-0.461115\pi\)
\(444\) −1802.27 + 867.928i −0.192640 + 0.0927704i
\(445\) −19.7309 + 86.4466i −0.00210187 + 0.00920891i
\(446\) −5016.16 + 2415.66i −0.532561 + 0.256468i
\(447\) −12116.1 5834.83i −1.28204 0.617400i
\(448\) 10293.8 346.687i 1.08557 0.0365612i
\(449\) −12418.4 + 5980.41i −1.30526 + 0.628581i −0.951757 0.306852i \(-0.900724\pi\)
−0.353504 + 0.935433i \(0.615010\pi\)
\(450\) 7322.27 9181.84i 0.767056 0.961858i
\(451\) 6017.16 + 2897.71i 0.628242 + 0.302545i
\(452\) −961.745 1205.99i −0.100081 0.125498i
\(453\) 4140.74 + 18141.8i 0.429468 + 1.88162i
\(454\) −4147.08 5200.28i −0.428705 0.537580i
\(455\) 31.1167 + 117.888i 0.00320609 + 0.0121465i
\(456\) −7538.75 + 9453.30i −0.774198 + 0.970814i
\(457\) 1000.97 + 482.042i 0.102458 + 0.0493413i 0.484411 0.874841i \(-0.339034\pi\)
−0.381953 + 0.924182i \(0.624748\pi\)
\(458\) 931.043 + 4079.17i 0.0949887 + 0.416172i
\(459\) 13499.4 1.37277
\(460\) 17.1341 0.00173670
\(461\) 1151.87 + 5046.67i 0.116373 + 0.509863i 0.999194 + 0.0401526i \(0.0127844\pi\)
−0.882821 + 0.469710i \(0.844358\pi\)
\(462\) −7946.25 + 10683.1i −0.800201 + 1.07580i
\(463\) 1307.35 5727.87i 0.131226 0.574939i −0.865969 0.500097i \(-0.833298\pi\)
0.997195 0.0748419i \(-0.0238452\pi\)
\(464\) 881.521 3862.20i 0.0881974 0.386418i
\(465\) −563.976 + 707.203i −0.0562446 + 0.0705285i
\(466\) 3511.21 4402.92i 0.349042 0.437685i
\(467\) 444.656 1948.17i 0.0440605 0.193042i −0.948108 0.317948i \(-0.897006\pi\)
0.992168 + 0.124907i \(0.0398632\pi\)
\(468\) −290.084 + 1270.94i −0.0286520 + 0.125532i
\(469\) −5036.45 5896.85i −0.495867 0.580578i
\(470\) −164.912 722.526i −0.0161847 0.0709098i
\(471\) −10839.2 −1.06040
\(472\) 15949.0 1.55532
\(473\) −3503.35 15349.2i −0.340559 1.49209i
\(474\) 16481.2 + 7936.94i 1.59706 + 0.769105i
\(475\) −4659.48 + 5842.81i −0.450088 + 0.564392i
\(476\) 3771.35 + 4415.63i 0.363150 + 0.425189i
\(477\) 2441.47 + 3061.51i 0.234355 + 0.293872i
\(478\) 753.009 + 3299.15i 0.0720540 + 0.315689i
\(479\) −7189.42 9015.25i −0.685789 0.859952i 0.310084 0.950709i \(-0.399643\pi\)
−0.995873 + 0.0907569i \(0.971071\pi\)
\(480\) −408.389 196.670i −0.0388340 0.0187015i
\(481\) −785.709 + 985.248i −0.0744807 + 0.0933959i
\(482\) −661.354 + 318.491i −0.0624976 + 0.0300972i
\(483\) 1217.32 1636.58i 0.114679 0.154176i
\(484\) 157.574 + 75.8838i 0.0147985 + 0.00712658i
\(485\) 619.085 298.136i 0.0579612 0.0279127i
\(486\) 2374.54 10403.5i 0.221628 0.971017i
\(487\) 1569.12 755.646i 0.146003 0.0703113i −0.359456 0.933162i \(-0.617038\pi\)
0.505459 + 0.862851i \(0.331323\pi\)
\(488\) 5848.03 + 7333.20i 0.542475 + 0.680242i
\(489\) −12461.7 −1.15242
\(490\) −232.829 + 336.078i −0.0214656 + 0.0309846i
\(491\) 12623.9 1.16030 0.580152 0.814508i \(-0.302993\pi\)
0.580152 + 0.814508i \(0.302993\pi\)
\(492\) 2286.06 + 2866.62i 0.209478 + 0.262678i
\(493\) 11853.6 5708.38i 1.08288 0.521486i
\(494\) −404.436 + 1771.95i −0.0368349 + 0.161384i
\(495\) 688.912 331.763i 0.0625542 0.0301245i
\(496\) 7362.75 + 3545.71i 0.666527 + 0.320982i
\(497\) −11132.4 + 5830.57i −1.00474 + 0.526231i
\(498\) 6208.47 2989.84i 0.558651 0.269032i
\(499\) −5972.25 + 7488.97i −0.535781 + 0.671848i −0.973876 0.227081i \(-0.927082\pi\)
0.438095 + 0.898929i \(0.355653\pi\)
\(500\) −286.904 138.166i −0.0256615 0.0123579i
\(501\) 4507.78 + 5652.58i 0.401982 + 0.504069i
\(502\) −834.801 3657.50i −0.0742211 0.325184i
\(503\) 9712.22 + 12178.7i 0.860927 + 1.07957i 0.996055 + 0.0887404i \(0.0282842\pi\)
−0.135128 + 0.990828i \(0.543144\pi\)
\(504\) −16229.2 + 8500.02i −1.43434 + 0.751232i
\(505\) −296.924 + 372.331i −0.0261642 + 0.0328089i
\(506\) 1061.98 + 511.424i 0.0933022 + 0.0449320i
\(507\) −3701.15 16215.8i −0.324209 1.42045i
\(508\) 5888.08 0.514254
\(509\) 3010.35 0.262144 0.131072 0.991373i \(-0.458158\pi\)
0.131072 + 0.991373i \(0.458158\pi\)
\(510\) 271.870 + 1191.14i 0.0236051 + 0.103421i
\(511\) 2325.26 78.3128i 0.201298 0.00677956i
\(512\) −2562.07 + 11225.1i −0.221149 + 0.968918i
\(513\) 1438.97 6304.53i 0.123844 0.542596i
\(514\) −2377.11 + 2980.80i −0.203988 + 0.255793i
\(515\) −291.773 + 365.872i −0.0249652 + 0.0313054i
\(516\) 1923.36 8426.77i 0.164091 0.718930i
\(517\) −5178.03 + 22686.4i −0.440482 + 1.92988i
\(518\) −4223.33 + 142.239i −0.358229 + 0.0120649i
\(519\) −2820.81 12358.8i −0.238573 1.04526i
\(520\) −162.118 −0.0136718
\(521\) 1065.01 0.0895567 0.0447784 0.998997i \(-0.485742\pi\)
0.0447784 + 0.998997i \(0.485742\pi\)
\(522\) 2203.86 + 9655.72i 0.184790 + 0.809616i
\(523\) −4202.52 2023.83i −0.351364 0.169208i 0.249873 0.968279i \(-0.419611\pi\)
−0.601237 + 0.799071i \(0.705325\pi\)
\(524\) 102.364 128.360i 0.00853392 0.0107012i
\(525\) −16772.9 + 8784.78i −1.39434 + 0.730284i
\(526\) −3803.32 4769.21i −0.315271 0.395337i
\(527\) 6039.19 + 26459.4i 0.499187 + 2.18708i
\(528\) −7202.04 9031.07i −0.593614 0.744369i
\(529\) 10799.4 + 5200.72i 0.887598 + 0.427444i
\(530\) −72.4463 + 90.8448i −0.00593748 + 0.00744537i
\(531\) −23440.3 + 11288.3i −1.91568 + 0.922541i
\(532\) 2464.20 1290.62i 0.200821 0.105180i
\(533\) 2081.08 + 1002.20i 0.169121 + 0.0814445i
\(534\) −3017.22 + 1453.02i −0.244509 + 0.117750i
\(535\) −77.6626 + 340.262i −0.00627598 + 0.0274969i
\(536\) 9290.16 4473.90i 0.748645 0.360528i
\(537\) 14983.4 + 18788.6i 1.20407 + 1.50985i
\(538\) 16334.1 1.30895
\(539\) 11165.1 6335.49i 0.892236 0.506288i
\(540\) 137.632 0.0109680
\(541\) −702.598 881.030i −0.0558356 0.0700156i 0.753130 0.657872i \(-0.228543\pi\)
−0.808965 + 0.587857i \(0.799972\pi\)
\(542\) 8787.00 4231.59i 0.696372 0.335355i
\(543\) 4392.78 19246.0i 0.347168 1.52104i
\(544\) −12253.3 + 5900.86i −0.965724 + 0.465068i
\(545\) 828.836 + 399.146i 0.0651439 + 0.0313717i
\(546\) −2748.27 + 3694.82i −0.215412 + 0.289604i
\(547\) −7581.27 + 3650.94i −0.592599 + 0.285380i −0.706049 0.708163i \(-0.749524\pi\)
0.113450 + 0.993544i \(0.463810\pi\)
\(548\) 4309.32 5403.72i 0.335922 0.421232i
\(549\) −13785.1 6638.57i −1.07165 0.516079i
\(550\) −6822.18 8554.74i −0.528907 0.663228i
\(551\) −1402.41 6144.36i −0.108430 0.475061i
\(552\) 1690.93 + 2120.36i 0.130382 + 0.163494i
\(553\) −11454.7 13411.6i −0.880840 1.03132i
\(554\) −8561.09 + 10735.3i −0.656545 + 0.823282i
\(555\) 365.611 + 176.069i 0.0279627 + 0.0134661i
\(556\) −889.098 3895.40i −0.0678169 0.297125i
\(557\) −7064.06 −0.537367 −0.268684 0.963228i \(-0.586589\pi\)
−0.268684 + 0.963228i \(0.586589\pi\)
\(558\) −20430.6 −1.54999
\(559\) −1211.66 5308.64i −0.0916777 0.401666i
\(560\) −230.366 269.720i −0.0173835 0.0203531i
\(561\) 8536.40 37400.4i 0.642437 2.81470i
\(562\) −290.026 + 1270.69i −0.0217687 + 0.0953748i
\(563\) −8341.32 + 10459.7i −0.624413 + 0.782990i −0.988958 0.148196i \(-0.952653\pi\)
0.364545 + 0.931186i \(0.381225\pi\)
\(564\) −7965.23 + 9988.08i −0.594675 + 0.745699i
\(565\) −69.6306 + 305.072i −0.00518475 + 0.0227159i
\(566\) 1121.04 4911.59i 0.0832523 0.364752i
\(567\) −2210.08 + 2971.27i −0.163694 + 0.220073i
\(568\) −3718.21 16290.5i −0.274670 1.20341i
\(569\) −18967.1 −1.39744 −0.698718 0.715397i \(-0.746246\pi\)
−0.698718 + 0.715397i \(0.746246\pi\)
\(570\) 585.269 0.0430074
\(571\) 4627.84 + 20275.9i 0.339176 + 1.48603i 0.800790 + 0.598945i \(0.204413\pi\)
−0.461615 + 0.887080i \(0.652730\pi\)
\(572\) 1094.31 + 526.991i 0.0799918 + 0.0385220i
\(573\) 23738.9 29767.6i 1.73073 2.17026i
\(574\) 1976.73 + 7489.00i 0.143741 + 0.544573i
\(575\) 1045.12 + 1310.53i 0.0757988 + 0.0950487i
\(576\) −4971.07 21779.7i −0.359597 1.57550i
\(577\) −1580.07 1981.34i −0.114002 0.142954i 0.721556 0.692356i \(-0.243427\pi\)
−0.835558 + 0.549402i \(0.814856\pi\)
\(578\) 22653.4 + 10909.3i 1.63020 + 0.785064i
\(579\) 13615.5 17073.3i 0.977271 1.22546i
\(580\) 120.852 58.1991i 0.00865188 0.00416653i
\(581\) −6640.27 + 223.639i −0.474156 + 0.0159692i
\(582\) 23381.5 + 11259.9i 1.66528 + 0.801958i
\(583\) 3287.07 1582.97i 0.233511 0.112453i
\(584\) −688.375 + 3015.97i −0.0487759 + 0.213701i
\(585\) 238.266 114.743i 0.0168394 0.00810944i
\(586\) −8158.70 10230.7i −0.575141 0.721204i
\(587\) 24973.2 1.75597 0.877985 0.478687i \(-0.158887\pi\)
0.877985 + 0.478687i \(0.158887\pi\)
\(588\) 7031.79 474.188i 0.493174 0.0332571i
\(589\) 13000.9 0.909494
\(590\) −481.336 603.576i −0.0335869 0.0421167i
\(591\) 9118.30 4391.14i 0.634648 0.305630i
\(592\) 815.792 3574.22i 0.0566366 0.248141i
\(593\) 3658.73 1761.95i 0.253366 0.122015i −0.302890 0.953025i \(-0.597952\pi\)
0.556256 + 0.831011i \(0.312237\pi\)
\(594\) 8530.52 + 4108.08i 0.589245 + 0.283765i
\(595\) 223.325 1156.65i 0.0153873 0.0796938i
\(596\) −3706.33 + 1784.88i −0.254727 + 0.122670i
\(597\) −12615.0 + 15818.7i −0.864820 + 1.08445i
\(598\) 367.295 + 176.880i 0.0251167 + 0.0120956i
\(599\) 4060.22 + 5091.36i 0.276955 + 0.347291i 0.900782 0.434272i \(-0.142994\pi\)
−0.623827 + 0.781563i \(0.714423\pi\)
\(600\) −5602.13 24544.5i −0.381177 1.67004i
\(601\) −13008.1 16311.6i −0.882880 1.10710i −0.993568 0.113241i \(-0.963877\pi\)
0.110688 0.993855i \(-0.464695\pi\)
\(602\) 10897.4 14650.7i 0.737783 0.991888i
\(603\) −10487.3 + 13150.7i −0.708252 + 0.888119i
\(604\) 5128.59 + 2469.80i 0.345495 + 0.166382i
\(605\) −7.89489 34.5898i −0.000530533 0.00232442i
\(606\) −17986.1 −1.20567
\(607\) 2087.96 0.139617 0.0698087 0.997560i \(-0.477761\pi\)
0.0698087 + 0.997560i \(0.477761\pi\)
\(608\) 1449.70 + 6351.54i 0.0966990 + 0.423666i
\(609\) 3027.13 15678.1i 0.201421 1.04320i
\(610\) 101.027 442.628i 0.00670567 0.0293794i
\(611\) −1790.86 + 7846.27i −0.118577 + 0.519519i
\(612\) 7853.01 9847.36i 0.518691 0.650418i
\(613\) −12599.8 + 15799.7i −0.830183 + 1.04102i 0.168288 + 0.985738i \(0.446176\pi\)
−0.998471 + 0.0552790i \(0.982395\pi\)
\(614\) −3882.69 + 17011.2i −0.255200 + 1.11810i
\(615\) 165.511 725.152i 0.0108521 0.0475462i
\(616\) 4356.24 + 16503.9i 0.284932 + 1.07948i
\(617\) 2255.74 + 9883.06i 0.147184 + 0.644857i 0.993660 + 0.112429i \(0.0358631\pi\)
−0.846475 + 0.532428i \(0.821280\pi\)
\(618\) −17674.2 −1.15042
\(619\) 8513.93 0.552833 0.276416 0.961038i \(-0.410853\pi\)
0.276416 + 0.961038i \(0.410853\pi\)
\(620\) 61.5719 + 269.764i 0.00398836 + 0.0174742i
\(621\) −1306.82 629.333i −0.0844460 0.0406671i
\(622\) −7742.60 + 9708.91i −0.499115 + 0.625871i
\(623\) 3227.07 108.685i 0.207528 0.00698938i
\(624\) −2490.88 3123.46i −0.159800 0.200382i
\(625\) −3455.32 15138.7i −0.221140 0.968880i
\(626\) 4673.07 + 5859.84i 0.298360 + 0.374132i
\(627\) −16556.9 7973.37i −1.05457 0.507856i
\(628\) −2067.33 + 2592.34i −0.131362 + 0.164723i
\(629\) 10969.7 5282.75i 0.695377 0.334876i
\(630\) 811.469 + 357.652i 0.0513170 + 0.0226178i
\(631\) −27414.1 13201.9i −1.72954 0.832901i −0.986522 0.163627i \(-0.947681\pi\)
−0.743015 0.669274i \(-0.766605\pi\)
\(632\) 21129.2 10175.3i 1.32987 0.640430i
\(633\) −5922.84 + 25949.7i −0.371898 + 1.62939i
\(634\) −7988.59 + 3847.10i −0.500422 + 0.240990i
\(635\) −744.735 933.868i −0.0465416 0.0583613i
\(636\) 2002.97 0.124879
\(637\) 3861.54 2191.18i 0.240188 0.136291i
\(638\) 9227.62 0.572610
\(639\) 16994.7 + 21310.6i 1.05211 + 1.31931i
\(640\) 198.611 95.6460i 0.0122669 0.00590741i
\(641\) −1151.33 + 5044.30i −0.0709435 + 0.310824i −0.997933 0.0642637i \(-0.979530\pi\)
0.926989 + 0.375087i \(0.122387\pi\)
\(642\) −11876.1 + 5719.22i −0.730080 + 0.351588i
\(643\) −18830.8 9068.41i −1.15492 0.556179i −0.244411 0.969672i \(-0.578595\pi\)
−0.910508 + 0.413492i \(0.864309\pi\)
\(644\) −159.235 603.275i −0.00974341 0.0369136i
\(645\) −1579.78 + 760.783i −0.0964401 + 0.0464431i
\(646\) 10948.7 13729.2i 0.666827 0.836175i
\(647\) −20770.3 10002.4i −1.26208 0.607784i −0.321354 0.946959i \(-0.604138\pi\)
−0.940723 + 0.339175i \(0.889852\pi\)
\(648\) −3069.94 3849.58i −0.186109 0.233373i
\(649\) 5393.89 + 23632.2i 0.326239 + 1.42934i
\(650\) −2359.50 2958.72i −0.142380 0.178539i
\(651\) 30141.2 + 13284.7i 1.81464 + 0.799796i
\(652\) −2376.76 + 2980.36i −0.142762 + 0.179018i
\(653\) 10790.8 + 5196.56i 0.646670 + 0.311420i 0.728316 0.685242i \(-0.240303\pi\)
−0.0816459 + 0.996661i \(0.526018\pi\)
\(654\) 7731.29 + 33873.0i 0.462259 + 2.02529i
\(655\) −33.3054 −0.00198680
\(656\) −6719.79 −0.399945
\(657\) −1122.91 4919.80i −0.0666803 0.292146i
\(658\) −23906.8 + 12521.2i −1.41639 + 0.741833i
\(659\) −854.158 + 3742.31i −0.0504906 + 0.221214i −0.993879 0.110477i \(-0.964762\pi\)
0.943388 + 0.331691i \(0.107619\pi\)
\(660\) 87.0318 381.311i 0.00513289 0.0224887i
\(661\) 3.89646 4.88601i 0.000229281 0.000287509i −0.781717 0.623634i \(-0.785656\pi\)
0.781946 + 0.623346i \(0.214227\pi\)
\(662\) 16916.1 21212.2i 0.993149 1.24537i
\(663\) 2952.38 12935.2i 0.172942 0.757710i
\(664\) 1965.80 8612.74i 0.114891 0.503372i
\(665\) −516.373 227.590i −0.0301114 0.0132715i
\(666\) 2039.53 + 8935.76i 0.118664 + 0.519901i
\(667\) −1413.61 −0.0820620
\(668\) 2211.64 0.128100
\(669\) −4332.31 18981.1i −0.250369 1.09694i
\(670\) −449.685 216.557i −0.0259296 0.0124871i
\(671\) −8888.08 + 11145.3i −0.511357 + 0.641221i
\(672\) −3129.20 + 16206.7i −0.179630 + 0.930341i
\(673\) 9562.15 + 11990.6i 0.547688 + 0.686779i 0.976229 0.216744i \(-0.0695436\pi\)
−0.428541 + 0.903522i \(0.640972\pi\)
\(674\) −4072.44 17842.5i −0.232737 1.01969i
\(675\) 8395.03 + 10527.0i 0.478703 + 0.600275i
\(676\) −4584.12 2207.60i −0.260817 0.125603i
\(677\) 4724.84 5924.76i 0.268228 0.336347i −0.629416 0.777068i \(-0.716706\pi\)
0.897644 + 0.440721i \(0.145277\pi\)
\(678\) −10647.8 + 5127.73i −0.603138 + 0.290456i
\(679\) −16250.5 19026.7i −0.918465 1.07537i
\(680\) 1411.22 + 679.608i 0.0795850 + 0.0383261i
\(681\) 20956.1 10091.9i 1.17921 0.567875i
\(682\) −4235.74 + 18558.0i −0.237822 + 1.04197i
\(683\) −3004.51 + 1446.89i −0.168322 + 0.0810598i −0.516148 0.856500i \(-0.672634\pi\)
0.347825 + 0.937559i \(0.386920\pi\)
\(684\) −3761.84 4717.20i −0.210289 0.263694i
\(685\) −1402.10 −0.0782064
\(686\) 13996.8 + 5074.35i 0.779008 + 0.282419i
\(687\) −14631.4 −0.812552
\(688\) 9876.80 + 12385.1i 0.547310 + 0.686306i
\(689\) 1136.86 547.482i 0.0628605 0.0302720i
\(690\) 29.2115 127.984i 0.00161168 0.00706124i
\(691\) 4296.41 2069.04i 0.236531 0.113908i −0.311864 0.950127i \(-0.600953\pi\)
0.548395 + 0.836219i \(0.315239\pi\)
\(692\) −3493.75 1682.50i −0.191926 0.0924266i
\(693\) −18083.4 21172.7i −0.991246 1.16058i
\(694\) 2519.69 1213.42i 0.137819 0.0663700i
\(695\) −505.368 + 633.711i −0.0275823 + 0.0345871i
\(696\) 19128.8 + 9211.96i 1.04178 + 0.501693i
\(697\) −13914.3 17448.0i −0.756160 0.948195i
\(698\) −5410.11 23703.2i −0.293375 1.28536i
\(699\) 12278.5 + 15396.7i 0.664398 + 0.833128i
\(700\) −1098.03 + 5686.94i −0.0592883 + 0.307066i
\(701\) 6232.25 7814.99i 0.335790 0.421067i −0.585057 0.810992i \(-0.698928\pi\)
0.920847 + 0.389925i \(0.127499\pi\)
\(702\) 2950.34 + 1420.81i 0.158623 + 0.0763890i
\(703\) −1297.84 5686.22i −0.0696288 0.305064i
\(704\) −20814.0 −1.11429
\(705\) 2591.60 0.138447
\(706\) −3447.00 15102.3i −0.183753 0.805074i
\(707\) 15868.9 + 6994.16i 0.844145 + 0.372054i
\(708\) −2961.27 + 12974.2i −0.157191 + 0.688699i
\(709\) 2198.34 9631.56i 0.116446 0.510184i −0.882740 0.469861i \(-0.844304\pi\)
0.999187 0.0403234i \(-0.0128388\pi\)
\(710\) −504.287 + 632.356i −0.0266557 + 0.0334252i
\(711\) −23851.9 + 29909.4i −1.25811 + 1.57762i
\(712\) −955.350 + 4185.66i −0.0502855 + 0.220315i
\(713\) 648.889 2842.97i 0.0340828 0.149327i
\(714\) 39412.4 20642.2i 2.06578 1.08195i
\(715\) −54.8277 240.216i −0.00286775 0.0125644i
\(716\) 7351.27 0.383701
\(717\) −11833.6 −0.616364
\(718\) 380.150 + 1665.55i 0.0197592 + 0.0865706i
\(719\) −7317.47 3523.91i −0.379549 0.182781i 0.234375 0.972146i \(-0.424696\pi\)
−0.613924 + 0.789365i \(0.710410\pi\)
\(720\) −479.686 + 601.508i −0.0248290 + 0.0311345i
\(721\) 15593.6 + 6872.83i 0.805460 + 0.355004i
\(722\) 4778.09 + 5991.53i 0.246291 + 0.308839i
\(723\) −571.192 2502.55i −0.0293815 0.128729i
\(724\) −3765.11 4721.30i −0.193272 0.242356i
\(725\) 11823.0 + 5693.64i 0.605647 + 0.291664i
\(726\) 835.462 1047.64i 0.0427092 0.0535557i
\(727\) −7204.98 + 3469.73i −0.367562 + 0.177009i −0.608542 0.793521i \(-0.708245\pi\)
0.240980 + 0.970530i \(0.422531\pi\)
\(728\) 1506.64 + 5708.01i 0.0767030 + 0.290595i
\(729\) 28756.6 + 13848.5i 1.46099 + 0.703575i
\(730\) 134.912 64.9700i 0.00684014 0.00329404i
\(731\) −11706.7 + 51290.5i −0.592324 + 2.59514i
\(732\) −7051.21 + 3395.68i −0.356039 + 0.171459i
\(733\) 366.857 + 460.024i 0.0184859 + 0.0231806i 0.790989 0.611831i \(-0.209567\pi\)
−0.772503 + 0.635012i \(0.780995\pi\)
\(734\) −22300.9 −1.12144
\(735\) −964.602 1055.29i −0.0484080 0.0529591i
\(736\) 1461.28 0.0731840
\(737\) 9771.04 + 12252.5i 0.488360 + 0.612383i
\(738\) 15136.2 7289.19i 0.754973 0.363576i
\(739\) −799.196 + 3501.51i −0.0397820 + 0.174296i −0.990916 0.134482i \(-0.957063\pi\)
0.951134 + 0.308778i \(0.0999201\pi\)
\(740\) 111.841 53.8596i 0.00555587 0.00267557i
\(741\) −5726.32 2757.65i −0.283889 0.136714i
\(742\) 3871.84 + 1706.50i 0.191563 + 0.0844307i
\(743\) −14481.1 + 6973.72i −0.715019 + 0.344335i −0.755773 0.654834i \(-0.772738\pi\)
0.0407534 + 0.999169i \(0.487024\pi\)
\(744\) −27307.1 + 34242.1i −1.34560 + 1.68733i
\(745\) 751.871 + 362.082i 0.0369751 + 0.0178063i
\(746\) 515.897 + 646.915i 0.0253195 + 0.0317496i
\(747\) 3206.71 + 14049.5i 0.157065 + 0.688147i
\(748\) −7316.67 9174.81i −0.357652 0.448482i
\(749\) 12702.1 427.795i 0.619657 0.0208696i
\(750\) −1521.17 + 1907.49i −0.0740603 + 0.0928687i
\(751\) 4488.91 + 2161.74i 0.218113 + 0.105038i 0.539750 0.841825i \(-0.318519\pi\)
−0.321637 + 0.946863i \(0.604233\pi\)
\(752\) −5210.00 22826.5i −0.252645 1.10691i
\(753\) 13119.0 0.634902
\(754\) 3191.44 0.154145
\(755\) −256.955 1125.79i −0.0123862 0.0542674i
\(756\) −1279.08 4845.89i −0.0615340 0.233126i
\(757\) −310.080 + 1358.55i −0.0148878 + 0.0652277i −0.981826 0.189783i \(-0.939222\pi\)
0.966938 + 0.255010i \(0.0820788\pi\)
\(758\) 699.745 3065.78i 0.0335302 0.146905i
\(759\) −2569.95 + 3222.61i −0.122903 + 0.154115i
\(760\) 467.820 586.628i 0.0223284 0.0279990i
\(761\) 2343.63 10268.1i 0.111638 0.489118i −0.887937 0.459965i \(-0.847862\pi\)
0.999575 0.0291527i \(-0.00928091\pi\)
\(762\) 10038.4 43981.2i 0.477236 2.09091i
\(763\) 6350.79 32892.0i 0.301329 1.56064i
\(764\) −2591.68 11354.9i −0.122728 0.537705i
\(765\) −2555.09 −0.120757
\(766\) −3883.47 −0.183180
\(767\) 1865.52 + 8173.37i 0.0878226 + 0.384776i
\(768\) −25351.0 12208.4i −1.19111 0.573609i
\(769\) 22320.1 27988.5i 1.04666 1.31247i 0.0983419 0.995153i \(-0.468646\pi\)
0.948319 0.317319i \(-0.102782\pi\)
\(770\) 493.107 662.942i