Properties

Label 49.4.e.a.43.5
Level $49$
Weight $4$
Character 49.43
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 43.5
Character \(\chi\) \(=\) 49.43
Dual form 49.4.e.a.8.5

$q$-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 \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{7}\right)\)

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 −0.969891 0.243539i \(-0.921692\pi\)
0.453254 + 0.891382i \(0.350263\pi\)
\(3\) 7.38411 + 3.55600i 1.42107 + 0.684353i 0.977314 0.211794i \(-0.0679305\pi\)
0.443759 + 0.896146i \(0.353645\pi\)
\(4\) 0.557879 + 2.44423i 0.0697348 + 0.305528i
\(5\) −0.458224 0.220669i −0.0409848 0.0197372i 0.413279 0.910604i \(-0.364383\pi\)
−0.454264 + 0.890867i \(0.650098\pi\)
\(6\) −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 −0.990955 0.134191i \(-0.957156\pi\)
0.351335 + 0.936250i \(0.385728\pi\)
\(12\) −4.57223 + 20.0323i −0.109991 + 0.481901i
\(13\) −8.07065 + 10.1203i −0.172184 + 0.215912i −0.860434 0.509561i \(-0.829808\pi\)
0.688250 + 0.725473i \(0.258379\pi\)
\(14\) 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 −0.241926 0.970295i \(-0.577779\pi\)
0.638963 0.769238i \(-0.279364\pi\)
\(18\) −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 0.986672 0.162723i \(-0.0520277\pi\)
−0.959563 + 0.281493i \(0.909171\pi\)
\(24\) −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 0.843021 + 0.537881i \(0.180775\pi\)
−0.992913 + 0.118841i \(0.962082\pi\)
\(30\) 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 −0.999980 0.00639464i \(-0.997965\pi\)
0.903725 + 0.428113i \(0.140822\pi\)
\(38\) −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 0.101859 0.994799i \(-0.467521\pi\)
−0.714257 + 0.699883i \(0.753235\pi\)
\(42\) −90.7897 + 343.963i −0.333551 + 1.26368i
\(43\) 379.002 182.518i 1.34412 0.647295i 0.383084 0.923714i \(-0.374862\pi\)
0.961037 + 0.276419i \(0.0891477\pi\)
\(44\) −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 −0.395913 + 0.918288i \(0.629572\pi\)
−0.807166 + 0.590325i \(0.799000\pi\)
\(48\) 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 0.939009 0.343892i \(-0.111745\pi\)
−0.995227 + 0.0975851i \(0.968888\pi\)
\(54\) −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 −0.947332 0.320252i \(-0.896232\pi\)
−0.340269 + 0.940328i \(0.610518\pi\)
\(60\) 6.51560 8.17030i 0.0140193 0.0175797i
\(61\) −84.7554 + 371.338i −0.177899 + 0.779425i 0.804700 + 0.593682i \(0.202326\pi\)
−0.982598 + 0.185743i \(0.940531\pi\)
\(62\) −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 −0.929189 0.369605i \(-0.879493\pi\)
0.676805 0.736163i \(-0.263364\pi\)
\(72\) −220.120 964.408i −0.360297 1.57856i
\(73\) 78.3249 + 98.2163i 0.125579 + 0.157471i 0.840646 0.541585i \(-0.182176\pi\)
−0.715068 + 0.699055i \(0.753604\pi\)
\(74\) −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 0.611617 0.791154i \(-0.290520\pi\)
−0.907416 + 0.420234i \(0.861948\pi\)
\(84\) 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 0.842339 0.538948i \(-0.181178\pi\)
−0.712874 + 0.701292i \(0.752607\pi\)
\(90\) 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 0.800544 0.599274i \(-0.204544\pi\)
0.0305993 + 0.999532i \(0.490258\pi\)
\(102\) 534.557 + 2342.05i 0.518912 + 2.27350i
\(103\) 829.007 + 399.229i 0.793054 + 0.381914i 0.786130 0.618062i \(-0.212082\pi\)
0.00692390 + 0.999976i \(0.497796\pi\)
\(104\) 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 0.936599 0.350402i \(-0.113955\pi\)
−0.550030 + 0.835145i \(0.685384\pi\)
\(108\) −243.815 + 117.415i −0.217233 + 0.104614i
\(109\) −1127.77 + 1414.18i −0.991016 + 1.24269i −0.0209680 + 0.999780i \(0.506675\pi\)
−0.970048 + 0.242914i \(0.921897\pi\)
\(110\) −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 0.915434 0.402467i \(-0.131847\pi\)
−0.596080 + 0.802925i \(0.703276\pi\)
\(114\) −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 −0.374765 0.927120i \(-0.622277\pi\)
0.739914 0.672701i \(-0.234866\pi\)
\(128\) −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 −0.414105 0.910229i \(-0.635905\pi\)
0.453456 + 0.891279i \(0.350191\pi\)
\(132\) −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 0.552783 0.833325i \(-0.313566\pi\)
0.996174 + 0.0873870i \(0.0278517\pi\)
\(138\) −160.933 201.803i −0.0992716 0.124483i
\(139\) 1435.89 + 691.486i 0.876189 + 0.421950i 0.817231 0.576310i \(-0.195508\pi\)
0.0589578 + 0.998260i \(0.481222\pi\)
\(140\) −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 −0.979016 0.203782i \(-0.934677\pi\)
0.416525 + 0.909124i \(0.363248\pi\)
\(150\) 2158.79 + 1039.62i 1.17510 + 0.565896i
\(151\) −505.231 2213.56i −0.272285 1.19296i −0.907308 0.420467i \(-0.861866\pi\)
0.635022 0.772494i \(-0.280991\pi\)
\(152\) −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 −0.711495 0.702691i \(-0.751982\pi\)
0.105776 + 0.994390i \(0.466267\pi\)
\(158\) 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 −0.733038 0.680188i \(-0.761898\pi\)
0.0747505 + 0.997202i \(0.476184\pi\)
\(164\) 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 −0.908870 0.417081i \(-0.863053\pi\)
0.999828 + 0.0185671i \(0.00591044\pi\)
\(168\) −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 0.992521 + 0.122075i \(0.0389550\pi\)
−0.841264 + 0.540625i \(0.818188\pi\)
\(174\) −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 −0.634664 0.772788i \(-0.718861\pi\)
0.907113 0.420888i \(-0.138281\pi\)
\(180\) 46.1478 22.2236i 0.0191092 0.00920250i
\(181\) 1501.79 + 1883.18i 0.616724 + 0.773348i 0.987879 0.155223i \(-0.0496096\pi\)
−0.371155 + 0.928571i \(0.621038\pi\)
\(182\) −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 0.998932 0.0462050i \(-0.0147127\pi\)
0.586699 + 0.809805i \(0.300427\pi\)
\(192\) 1014.22 + 4443.61i 0.381226 + 1.67026i
\(193\) 2400.63 + 1156.08i 0.895342 + 0.431174i 0.824204 0.566293i \(-0.191623\pi\)
0.0711376 + 0.997467i \(0.477337\pi\)
\(194\) 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 −0.00646926 0.999979i \(-0.502059\pi\)
−0.785849 + 0.618419i \(0.787774\pi\)
\(200\) 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 0.332757 0.943012i \(-0.392021\pi\)
−0.993415 + 0.114574i \(0.963450\pi\)
\(212\) 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 0.990173 + 0.139847i \(0.0446611\pi\)
−0.831438 + 0.555618i \(0.812482\pi\)
\(224\) −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 −0.651316 0.758807i \(-0.725783\pi\)
0.187170 + 0.982327i \(0.440068\pi\)
\(230\) 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 −0.842451 0.538773i \(-0.818888\pi\)
0.992787 0.119892i \(-0.0382548\pi\)
\(234\) 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 −0.601561 0.798827i \(-0.705454\pi\)
0.249481 + 0.968380i \(0.419740\pi\)
\(240\) −141.424 68.1060i −0.0380369 0.0183176i
\(241\) 69.6937 + 305.348i 0.0186281 + 0.0816149i 0.983388 0.181518i \(-0.0581012\pi\)
−0.964759 + 0.263133i \(0.915244\pi\)
\(242\) 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 −0.243671 0.969858i \(-0.578352\pi\)
0.606339 + 0.795206i \(0.292637\pi\)
\(252\) 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 −0.999670 0.0256723i \(-0.991827\pi\)
0.911811 + 0.410611i \(0.134684\pi\)
\(258\) −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 −0.971967 0.235117i \(-0.924453\pi\)
−0.0129390 0.999916i \(-0.504119\pi\)
\(270\) 80.2197 + 100.592i 0.0180815 + 0.0226735i
\(271\) −925.977 4056.97i −0.207561 0.909385i −0.966184 0.257854i \(-0.916984\pi\)
0.758623 0.651530i \(-0.225873\pi\)
\(272\) −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 0.611431 + 0.791298i \(0.290594\pi\)
−0.894211 + 0.447645i \(0.852263\pi\)
\(278\) −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 −0.817273 0.576251i \(-0.804515\pi\)
0.743663 + 0.668554i \(0.233087\pi\)
\(282\) 2657.49 11643.2i 0.561175 2.45867i
\(283\) 1340.23 1680.59i 0.281513 0.353006i −0.620891 0.783897i \(-0.713229\pi\)
0.902404 + 0.430891i \(0.141801\pi\)
\(284\) 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 0.132911 + 0.991128i \(0.457568\pi\)
−0.995854 + 0.0909685i \(0.971004\pi\)
\(308\) −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 0.746157 + 0.665770i \(0.231897\pi\)
−0.961131 + 0.276093i \(0.910960\pi\)
\(312\) 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 0.993121 + 0.117096i \(0.0373586\pi\)
−0.843965 + 0.536399i \(0.819784\pi\)
\(318\) 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 −0.0551709 0.998477i \(-0.517570\pi\)
0.482930 0.875659i \(-0.339573\pi\)
\(332\) 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 0.232054 0.972703i \(-0.425455\pi\)
0.905173 + 0.425043i \(0.139741\pi\)
\(338\) −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 0.950227 0.311559i \(-0.100851\pi\)
−0.991305 + 0.131583i \(0.957994\pi\)
\(348\) −1947.48 937.858i −0.299988 0.144467i
\(349\) 9346.38 4500.98i 1.43353 0.690349i 0.453876 0.891065i \(-0.350041\pi\)
0.979650 + 0.200716i \(0.0643267\pi\)
\(350\) 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 0.0727549 0.997350i \(-0.476821\pi\)
0.825121 + 0.564955i \(0.191107\pi\)
\(354\) 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 −0.481535 0.876427i \(-0.659921\pi\)
0.384986 + 0.922923i \(0.374206\pi\)
\(360\) −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 0.997547 + 0.0700047i \(0.0223014\pi\)
−0.153725 + 0.988114i \(0.549127\pi\)
\(368\) 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 −0.721903 0.691994i \(-0.756732\pi\)
0.835283 + 0.549820i \(0.185304\pi\)
\(380\) 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 0.845957 0.533251i \(-0.179030\pi\)
−0.708125 + 0.706087i \(0.750459\pi\)
\(384\) −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 0.590783 0.806831i \(-0.298819\pi\)
−0.262458 + 0.964943i \(0.584533\pi\)
\(390\) −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 0.595551 0.803317i \(-0.296934\pi\)
−0.256739 + 0.966481i \(0.582648\pi\)
\(398\) 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 0.989242 0.146286i \(-0.0467320\pi\)
−0.362745 + 0.931888i \(0.618161\pi\)
\(402\) 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 0.762420 + 0.647082i \(0.224011\pi\)
−0.967675 + 0.252199i \(0.918846\pi\)
\(410\) −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 −0.868711 0.495319i \(-0.835051\pi\)
0.567771 0.823187i \(-0.307806\pi\)
\(420\) −36.6912 190.031i −0.00426273 0.0220775i
\(421\) −445.909 + 1953.65i −0.0516206 + 0.226165i −0.994158 0.107937i \(-0.965576\pi\)
0.942537 + 0.334101i \(0.108433\pi\)
\(422\) 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 −0.266794 0.963754i \(-0.585964\pi\)
0.587150 + 0.809478i \(0.300250\pi\)
\(432\) 2534.35 + 3177.98i 0.282255 + 0.353937i
\(433\) −5583.54 2688.89i −0.619695 0.298429i 0.0975712 0.995229i \(-0.468893\pi\)
−0.717266 + 0.696799i \(0.754607\pi\)
\(434\) 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 −0.598147 0.801386i \(-0.704096\pi\)
0.914394 + 0.404825i \(0.132668\pi\)
\(440\) −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 0.121857 + 0.992548i \(0.461115\pi\)
−0.994778 + 0.102061i \(0.967456\pi\)
\(444\) −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 −0.353504 0.935433i \(-0.615010\pi\)
−0.951757 + 0.306852i \(0.900724\pi\)
\(450\) 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 −0.381953 0.924182i \(-0.624748\pi\)
0.484411 + 0.874841i \(0.339034\pi\)
\(458\) 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 −0.882821 0.469710i \(-0.844358\pi\)
0.999194 0.0401526i \(-0.0127844\pi\)
\(462\) −7946.25 10683.1i −0.800201 1.07580i
\(463\) 1307.35 + 5727.87i 0.131226 + 0.574939i 0.997195 + 0.0748419i \(0.0238452\pi\)
−0.865969 + 0.500097i \(0.833298\pi\)
\(464\) 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 0.992168 0.124907i \(-0.0398632\pi\)
−0.948108 + 0.317948i \(0.897006\pi\)
\(468\) −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 −0.995873 0.0907569i \(-0.971071\pi\)
0.310084 + 0.950709i \(0.399643\pi\)
\(480\) −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 0.505459 0.862851i \(-0.331323\pi\)
−0.359456 + 0.933162i \(0.617038\pi\)
\(488\) 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 0.438095 0.898929i \(-0.355653\pi\)
−0.973876 + 0.227081i \(0.927082\pi\)
\(500\) −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 −0.135128 0.990828i \(-0.543144\pi\)
0.996055 0.0887404i \(-0.0282842\pi\)
\(504\) −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 −0.601237 0.799071i \(-0.705325\pi\)
0.249873 + 0.968279i \(0.419611\pi\)
\(524\) 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 −0.808965 0.587857i \(-0.799972\pi\)
0.753130 + 0.657872i \(0.228543\pi\)
\(542\) 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 0.113450 0.993544i \(-0.463810\pi\)
−0.706049 + 0.708163i \(0.749524\pi\)
\(548\) 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 0.364545 0.931186i \(-0.381225\pi\)
−0.988958 + 0.148196i \(0.952653\pi\)
\(564\) −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 −0.461615 0.887080i \(-0.652730\pi\)
0.800790 0.598945i \(-0.204413\pi\)
\(572\) 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 −0.835558 0.549402i \(-0.814856\pi\)
0.721556 + 0.692356i \(0.243427\pi\)
\(578\) 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 0.556256 0.831011i \(-0.312237\pi\)
−0.302890 + 0.953025i \(0.597952\pi\)
\(594\) 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 −0.623827 0.781563i \(-0.714423\pi\)
0.900782 + 0.434272i \(0.142994\pi\)
\(600\) −5602.13 + 24544.5i −0.381177 + 1.67004i
\(601\) −13008.1 + 16311.6i −0.882880 + 1.10710i 0.110688 + 0.993855i \(0.464695\pi\)
−0.993568 + 0.113241i \(0.963877\pi\)
\(602\) 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 −0.998471 0.0552790i \(-0.982395\pi\)
0.168288 0.985738i \(-0.446176\pi\)
\(614\) −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 −0.846475 0.532428i \(-0.821280\pi\)
0.993660 0.112429i \(-0.0358631\pi\)
\(618\) −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 −0.743015 + 0.669274i \(0.766605\pi\)
−0.986522 + 0.163627i \(0.947681\pi\)
\(632\) 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 0.926989 0.375087i \(-0.122387\pi\)
−0.997933 + 0.0642637i \(0.979530\pi\)
\(642\) −11876.1 5719.22i −0.730080 0.351588i
\(643\) −18830.8 + 9068.41i −1.15492 + 0.556179i −0.910508 0.413492i \(-0.864309\pi\)
−0.244411 + 0.969672i \(0.578595\pi\)
\(644\) −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 −0.940723 0.339175i \(-0.889852\pi\)
−0.321354 + 0.946959i \(0.604138\pi\)
\(648\) −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 −0.0816459 0.996661i \(-0.526018\pi\)
0.728316 + 0.685242i \(0.240303\pi\)
\(654\) 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 0.943388 0.331691i \(-0.107619\pi\)
−0.993879 + 0.110477i \(0.964762\pi\)
\(660\) 87.0318 + 381.311i 0.00513289 + 0.0224887i
\(661\) 3.89646 + 4.88601i 0.000229281 + 0.000287509i 0.781946 0.623346i \(-0.214227\pi\)
−0.781717 + 0.623634i \(0.785656\pi\)
\(662\) 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 −0.428541 0.903522i \(-0.640972\pi\)
0.976229 + 0.216744i \(0.0695436\pi\)
\(674\) −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 0.897644 0.440721i \(-0.145277\pi\)
−0.629416 + 0.777068i \(0.716706\pi\)
\(678\) −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 0.347825 0.937559i \(-0.386920\pi\)
−0.516148 + 0.856500i \(0.672634\pi\)
\(684\) −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 0.548395 0.836219i \(-0.315239\pi\)
−0.311864 + 0.950127i \(0.600953\pi\)
\(692\) −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 0.920847 0.389925i \(-0.127499\pi\)
−0.585057 + 0.810992i \(0.698928\pi\)
\(702\) 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 0.999187 + 0.0403234i \(0.0128388\pi\)
−0.882740 + 0.469861i \(0.844304\pi\)
\(710\) −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 −0.613924 0.789365i \(-0.710410\pi\)
0.234375 + 0.972146i \(0.424696\pi\)
\(720\) −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 0.240980 0.970530i \(-0.422531\pi\)
−0.608542 + 0.793521i \(0.708245\pi\)
\(728\) 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 −0.772503 0.635012i \(-0.780995\pi\)
0.790989 + 0.611831i \(0.209567\pi\)
\(734\) −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 0.951134 0.308778i \(-0.0999201\pi\)
−0.990916 + 0.134482i \(0.957063\pi\)
\(740\) 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 0.0407534 0.999169i \(-0.487024\pi\)
−0.755773 + 0.654834i \(0.772738\pi\)
\(744\) −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 −0.321637 0.946863i \(-0.604233\pi\)
0.539750 + 0.841825i \(0.318519\pi\)
\(752\) −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 0.966938 0.255010i \(-0.0820788\pi\)
−0.981826 + 0.189783i \(0.939222\pi\)
\(758\) 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 0.999575 + 0.0291527i \(0.00928091\pi\)
−0.887937 + 0.459965i \(0.847862\pi\)
\(762\) 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 0.948319 + 0.317319i \(0.102782\pi\)
0.0983419 + 0.995153i \(0.468646\pi\)
\(770\) 493.107 +