Properties

Label 49.4.e.a.15.3
Level $49$
Weight $4$
Character 49.15
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 15.3
Character \(\chi\) \(=\) 49.15
Dual form 49.4.e.a.36.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.846844 + 3.71026i) q^{2} +(3.04811 - 3.82222i) q^{3} +(-5.84116 - 2.81296i) q^{4} +(-12.1071 + 15.1818i) q^{5} +(11.6002 + 14.5461i) q^{6} +(13.1709 + 13.0203i) q^{7} +(-3.59906 + 4.51308i) q^{8} +(0.689741 + 3.02195i) q^{9} +O(q^{10})\) \(q+(-0.846844 + 3.71026i) q^{2} +(3.04811 - 3.82222i) q^{3} +(-5.84116 - 2.81296i) q^{4} +(-12.1071 + 15.1818i) q^{5} +(11.6002 + 14.5461i) q^{6} +(13.1709 + 13.0203i) q^{7} +(-3.59906 + 4.51308i) q^{8} +(0.689741 + 3.02195i) q^{9} +(-46.0758 - 57.7772i) q^{10} +(3.84932 - 16.8650i) q^{11} +(-28.5563 + 13.7520i) q^{12} +(6.63306 - 29.0614i) q^{13} +(-59.4623 + 37.8414i) q^{14} +(21.1244 + 92.5519i) q^{15} +(-46.0346 - 57.7255i) q^{16} +(30.1062 - 14.4984i) q^{17} -11.7963 q^{18} +122.424 q^{19} +(113.425 - 54.6228i) q^{20} +(89.9127 - 10.6547i) q^{21} +(59.3138 + 28.5640i) q^{22} +(35.7422 + 17.2126i) q^{23} +(6.27961 + 27.5128i) q^{24} +(-56.0909 - 245.750i) q^{25} +(102.208 + 49.2208i) q^{26} +(132.579 + 63.8465i) q^{27} +(-40.3079 - 113.103i) q^{28} +(-257.246 + 123.883i) q^{29} -361.281 q^{30} +61.6857 q^{31} +(211.555 - 101.879i) q^{32} +(-52.7284 - 66.1193i) q^{33} +(28.2976 + 123.980i) q^{34} +(-357.133 + 42.3206i) q^{35} +(4.47173 - 19.5919i) q^{36} +(34.5744 - 16.6502i) q^{37} +(-103.674 + 454.225i) q^{38} +(-90.8604 - 113.935i) q^{39} +(-24.9426 - 109.281i) q^{40} +(312.646 - 392.045i) q^{41} +(-36.6101 + 342.623i) q^{42} +(-51.8869 - 65.0641i) q^{43} +(-69.9250 + 87.6831i) q^{44} +(-54.2296 - 26.1156i) q^{45} +(-94.1312 + 118.037i) q^{46} +(-5.83314 + 25.5567i) q^{47} -360.958 q^{48} +(3.94526 + 342.977i) q^{49} +959.298 q^{50} +(36.3512 - 159.265i) q^{51} +(-120.493 + 151.094i) q^{52} +(386.317 + 186.040i) q^{53} +(-349.161 + 437.834i) q^{54} +(209.437 + 262.626i) q^{55} +(-106.164 + 12.5806i) q^{56} +(373.162 - 467.930i) q^{57} +(-241.792 - 1059.36i) q^{58} +(106.826 + 133.956i) q^{59} +(136.954 - 600.033i) q^{60} +(-542.207 + 261.113i) q^{61} +(-52.2381 + 228.870i) q^{62} +(-30.2621 + 48.7825i) q^{63} +(67.4092 + 295.339i) q^{64} +(360.897 + 452.551i) q^{65} +(289.973 - 139.644i) q^{66} -606.739 q^{67} -216.639 q^{68} +(174.736 - 84.1487i) q^{69} +(145.415 - 1360.90i) q^{70} +(-278.882 - 134.302i) q^{71} +(-16.1207 - 7.76334i) q^{72} +(0.148211 + 0.649355i) q^{73} +(32.4974 + 142.380i) q^{74} +(-1110.28 - 534.683i) q^{75} +(-715.097 - 344.373i) q^{76} +(270.286 - 172.008i) q^{77} +(499.675 - 240.631i) q^{78} +50.9424 q^{79} +1433.72 q^{80} +(572.747 - 275.820i) q^{81} +(1189.83 + 1492.00i) q^{82} +(-221.685 - 971.268i) q^{83} +(-555.166 - 190.684i) q^{84} +(-144.387 + 632.601i) q^{85} +(285.345 - 137.415i) q^{86} +(-310.608 + 1360.86i) q^{87} +(62.2590 + 78.0704i) q^{88} +(225.975 + 990.060i) q^{89} +(142.820 - 179.090i) q^{90} +(465.750 - 296.400i) q^{91} +(-160.358 - 201.083i) q^{92} +(188.025 - 235.776i) q^{93} +(-89.8822 - 43.2850i) q^{94} +(-1482.20 + 1858.62i) q^{95} +(255.438 - 1119.15i) q^{96} -66.6277 q^{97} +(-1275.88 - 275.810i) q^{98} +53.6202 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 \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.846844 + 3.71026i −0.299404 + 1.31178i 0.571613 + 0.820524i \(0.306318\pi\)
−0.871017 + 0.491253i \(0.836539\pi\)
\(3\) 3.04811 3.82222i 0.586610 0.735586i −0.396615 0.917985i \(-0.629815\pi\)
0.983224 + 0.182400i \(0.0583865\pi\)
\(4\) −5.84116 2.81296i −0.730146 0.351620i
\(5\) −12.1071 + 15.1818i −1.08289 + 1.35790i −0.153781 + 0.988105i \(0.549145\pi\)
−0.929112 + 0.369799i \(0.879426\pi\)
\(6\) 11.6002 + 14.5461i 0.789290 + 0.989739i
\(7\) 13.1709 + 13.0203i 0.711162 + 0.703028i
\(8\) −3.59906 + 4.51308i −0.159057 + 0.199452i
\(9\) 0.689741 + 3.02195i 0.0255460 + 0.111924i
\(10\) −46.0758 57.7772i −1.45704 1.82708i
\(11\) 3.84932 16.8650i 0.105510 0.462271i −0.894378 0.447312i \(-0.852381\pi\)
0.999888 0.0149587i \(-0.00476167\pi\)
\(12\) −28.5563 + 13.7520i −0.686957 + 0.330821i
\(13\) 6.63306 29.0614i 0.141514 0.620013i −0.853570 0.520978i \(-0.825567\pi\)
0.995084 0.0990349i \(-0.0315756\pi\)
\(14\) −59.4623 + 37.8414i −1.13514 + 0.722395i
\(15\) 21.1244 + 92.5519i 0.363619 + 1.59312i
\(16\) −46.0346 57.7255i −0.719290 0.901961i
\(17\) 30.1062 14.4984i 0.429519 0.206845i −0.206618 0.978422i \(-0.566246\pi\)
0.636137 + 0.771576i \(0.280531\pi\)
\(18\) −11.7963 −0.154468
\(19\) 122.424 1.47821 0.739104 0.673592i \(-0.235249\pi\)
0.739104 + 0.673592i \(0.235249\pi\)
\(20\) 113.425 54.6228i 1.26813 0.610702i
\(21\) 89.9127 10.6547i 0.934312 0.110717i
\(22\) 59.3138 + 28.5640i 0.574806 + 0.276812i
\(23\) 35.7422 + 17.2126i 0.324033 + 0.156046i 0.588828 0.808259i \(-0.299590\pi\)
−0.264794 + 0.964305i \(0.585304\pi\)
\(24\) 6.27961 + 27.5128i 0.0534092 + 0.234001i
\(25\) −56.0909 245.750i −0.448727 1.96600i
\(26\) 102.208 + 49.2208i 0.770949 + 0.371269i
\(27\) 132.579 + 63.8465i 0.944991 + 0.455084i
\(28\) −40.3079 113.103i −0.272053 0.763371i
\(29\) −257.246 + 123.883i −1.64722 + 0.793260i −0.647714 + 0.761884i \(0.724275\pi\)
−0.999508 + 0.0313759i \(0.990011\pi\)
\(30\) −361.281 −2.19869
\(31\) 61.6857 0.357389 0.178695 0.983905i \(-0.442813\pi\)
0.178695 + 0.983905i \(0.442813\pi\)
\(32\) 211.555 101.879i 1.16869 0.562809i
\(33\) −52.7284 66.1193i −0.278147 0.348785i
\(34\) 28.2976 + 123.980i 0.142735 + 0.625363i
\(35\) −357.133 + 42.3206i −1.72476 + 0.204385i
\(36\) 4.47173 19.5919i 0.0207025 0.0907034i
\(37\) 34.5744 16.6502i 0.153622 0.0739802i −0.355493 0.934679i \(-0.615687\pi\)
0.509115 + 0.860699i \(0.329973\pi\)
\(38\) −103.674 + 454.225i −0.442582 + 1.93908i
\(39\) −90.8604 113.935i −0.373059 0.467801i
\(40\) −24.9426 109.281i −0.0985943 0.431970i
\(41\) 312.646 392.045i 1.19090 1.49335i 0.363634 0.931542i \(-0.381536\pi\)
0.827270 0.561804i \(-0.189893\pi\)
\(42\) −36.6101 + 342.623i −0.134501 + 1.25876i
\(43\) −51.8869 65.0641i −0.184016 0.230748i 0.681264 0.732038i \(-0.261431\pi\)
−0.865280 + 0.501289i \(0.832859\pi\)
\(44\) −69.9250 + 87.6831i −0.239582 + 0.300426i
\(45\) −54.2296 26.1156i −0.179646 0.0865129i
\(46\) −94.1312 + 118.037i −0.301715 + 0.378339i
\(47\) −5.83314 + 25.5567i −0.0181032 + 0.0793154i −0.983173 0.182679i \(-0.941523\pi\)
0.965069 + 0.261994i \(0.0843802\pi\)
\(48\) −360.958 −1.08541
\(49\) 3.94526 + 342.977i 0.0115022 + 0.999934i
\(50\) 959.298 2.71330
\(51\) 36.3512 159.265i 0.0998076 0.437286i
\(52\) −120.493 + 151.094i −0.321334 + 0.402941i
\(53\) 386.317 + 186.040i 1.00122 + 0.482163i 0.861353 0.508007i \(-0.169618\pi\)
0.139868 + 0.990170i \(0.455332\pi\)
\(54\) −349.161 + 437.834i −0.879903 + 1.10336i
\(55\) 209.437 + 262.626i 0.513464 + 0.643863i
\(56\) −106.164 + 12.5806i −0.253336 + 0.0300206i
\(57\) 373.162 467.930i 0.867131 1.08735i
\(58\) −241.792 1059.36i −0.547394 2.39829i
\(59\) 106.826 + 133.956i 0.235722 + 0.295586i 0.885596 0.464456i \(-0.153750\pi\)
−0.649874 + 0.760042i \(0.725179\pi\)
\(60\) 136.954 600.033i 0.294677 1.29107i
\(61\) −542.207 + 261.113i −1.13807 + 0.548067i −0.905430 0.424495i \(-0.860452\pi\)
−0.232643 + 0.972562i \(0.574737\pi\)
\(62\) −52.2381 + 228.870i −0.107004 + 0.468815i
\(63\) −30.2621 + 48.7825i −0.0605186 + 0.0975558i
\(64\) 67.4092 + 295.339i 0.131659 + 0.576834i
\(65\) 360.897 + 452.551i 0.688674 + 0.863570i
\(66\) 289.973 139.644i 0.540806 0.260438i
\(67\) −606.739 −1.10634 −0.553171 0.833068i \(-0.686583\pi\)
−0.553171 + 0.833068i \(0.686583\pi\)
\(68\) −216.639 −0.386342
\(69\) 174.736 84.1487i 0.304867 0.146816i
\(70\) 145.415 1360.90i 0.248292 2.32369i
\(71\) −278.882 134.302i −0.466158 0.224490i 0.186035 0.982543i \(-0.440436\pi\)
−0.652192 + 0.758054i \(0.726151\pi\)
\(72\) −16.1207 7.76334i −0.0263868 0.0127072i
\(73\) 0.148211 + 0.649355i 0.000237627 + 0.00104111i 0.975047 0.222000i \(-0.0712586\pi\)
−0.974809 + 0.223041i \(0.928401\pi\)
\(74\) 32.4974 + 142.380i 0.0510506 + 0.223667i
\(75\) −1110.28 534.683i −1.70939 0.823199i
\(76\) −715.097 344.373i −1.07931 0.519767i
\(77\) 270.286 172.008i 0.400025 0.254573i
\(78\) 499.675 240.631i 0.725347 0.349308i
\(79\) 50.9424 0.0725503 0.0362751 0.999342i \(-0.488451\pi\)
0.0362751 + 0.999342i \(0.488451\pi\)
\(80\) 1433.72 2.00369
\(81\) 572.747 275.820i 0.785661 0.378354i
\(82\) 1189.83 + 1492.00i 1.60237 + 2.00931i
\(83\) −221.685 971.268i −0.293170 1.28446i −0.880086 0.474815i \(-0.842515\pi\)
0.586915 0.809648i \(-0.300342\pi\)
\(84\) −555.166 190.684i −0.721114 0.247683i
\(85\) −144.387 + 632.601i −0.184247 + 0.807237i
\(86\) 285.345 137.415i 0.357786 0.172300i
\(87\) −310.608 + 1360.86i −0.382766 + 1.67701i
\(88\) 62.2590 + 78.0704i 0.0754186 + 0.0945719i
\(89\) 225.975 + 990.060i 0.269138 + 1.17917i 0.911019 + 0.412365i \(0.135297\pi\)
−0.641881 + 0.766804i \(0.721846\pi\)
\(90\) 142.820 179.090i 0.167272 0.209753i
\(91\) 465.750 296.400i 0.536526 0.341441i
\(92\) −160.358 201.083i −0.181723 0.227873i
\(93\) 188.025 235.776i 0.209648 0.262891i
\(94\) −89.8822 43.2850i −0.0986239 0.0474948i
\(95\) −1482.20 + 1858.62i −1.60074 + 2.00726i
\(96\) 255.438 1119.15i 0.271568 1.18982i
\(97\) −66.6277 −0.0697424 −0.0348712 0.999392i \(-0.511102\pi\)
−0.0348712 + 0.999392i \(0.511102\pi\)
\(98\) −1275.88 275.810i −1.31513 0.284296i
\(99\) 53.6202 0.0544347
\(100\) −363.648 + 1593.25i −0.363648 + 1.59325i
\(101\) 36.2815 45.4955i 0.0357440 0.0448215i −0.763638 0.645644i \(-0.776589\pi\)
0.799382 + 0.600823i \(0.205160\pi\)
\(102\) 560.132 + 269.745i 0.543738 + 0.261850i
\(103\) 1134.28 1422.34i 1.08509 1.36066i 0.157298 0.987551i \(-0.449722\pi\)
0.927789 0.373105i \(-0.121707\pi\)
\(104\) 107.283 + 134.529i 0.101154 + 0.126843i
\(105\) −926.824 + 1494.04i −0.861417 + 1.38860i
\(106\) −1017.41 + 1275.79i −0.932260 + 1.16902i
\(107\) −356.316 1561.12i −0.321928 1.41046i −0.834117 0.551587i \(-0.814022\pi\)
0.512189 0.858873i \(-0.328835\pi\)
\(108\) −594.816 745.876i −0.529965 0.664555i
\(109\) −117.936 + 516.713i −0.103635 + 0.454057i 0.896308 + 0.443432i \(0.146239\pi\)
−0.999944 + 0.0106248i \(0.996618\pi\)
\(110\) −1151.77 + 554.664i −0.998338 + 0.480774i
\(111\) 41.7463 182.902i 0.0356971 0.156399i
\(112\) 145.285 1359.68i 0.122573 1.14712i
\(113\) −296.598 1299.48i −0.246917 1.08181i −0.934571 0.355776i \(-0.884217\pi\)
0.687654 0.726038i \(-0.258641\pi\)
\(114\) 1420.13 + 1780.79i 1.16673 + 1.46304i
\(115\) −694.053 + 334.238i −0.562789 + 0.271025i
\(116\) 1851.10 1.48164
\(117\) 92.3972 0.0730096
\(118\) −587.477 + 282.914i −0.458319 + 0.220715i
\(119\) 585.298 + 201.034i 0.450876 + 0.154863i
\(120\) −493.722 237.764i −0.375587 0.180873i
\(121\) 929.579 + 447.662i 0.698407 + 0.336335i
\(122\) −509.634 2232.85i −0.378197 1.65699i
\(123\) −545.502 2390.00i −0.399888 1.75202i
\(124\) −360.316 173.519i −0.260946 0.125665i
\(125\) 2223.13 + 1070.60i 1.59074 + 0.766060i
\(126\) −155.369 153.592i −0.109852 0.108595i
\(127\) −1025.24 + 493.729i −0.716340 + 0.344971i −0.756295 0.654230i \(-0.772993\pi\)
0.0399553 + 0.999201i \(0.487278\pi\)
\(128\) 725.592 0.501046
\(129\) −406.846 −0.277681
\(130\) −1984.71 + 955.785i −1.33900 + 0.644830i
\(131\) 412.407 + 517.143i 0.275055 + 0.344908i 0.900102 0.435679i \(-0.143492\pi\)
−0.625047 + 0.780587i \(0.714920\pi\)
\(132\) 122.004 + 534.537i 0.0804479 + 0.352465i
\(133\) 1612.43 + 1593.99i 1.05124 + 1.03922i
\(134\) 513.813 2251.16i 0.331244 1.45127i
\(135\) −2574.45 + 1239.79i −1.64128 + 0.790401i
\(136\) −42.9217 + 188.052i −0.0270625 + 0.118569i
\(137\) −1341.36 1682.02i −0.836500 1.04894i −0.998071 0.0620770i \(-0.980228\pi\)
0.161571 0.986861i \(-0.448344\pi\)
\(138\) 164.239 + 719.579i 0.101311 + 0.443874i
\(139\) −581.649 + 729.365i −0.354927 + 0.445064i −0.926957 0.375169i \(-0.877585\pi\)
0.572030 + 0.820233i \(0.306156\pi\)
\(140\) 2205.12 + 757.398i 1.33119 + 0.457227i
\(141\) 79.9030 + 100.195i 0.0477237 + 0.0598437i
\(142\) 734.467 920.992i 0.434050 0.544281i
\(143\) −464.586 223.733i −0.271683 0.130836i
\(144\) 142.692 178.930i 0.0825763 0.103547i
\(145\) 1233.73 5405.34i 0.706592 3.09578i
\(146\) −2.53479 −0.00143686
\(147\) 1322.96 + 1030.35i 0.742284 + 0.578110i
\(148\) −248.791 −0.138179
\(149\) 283.905 1243.87i 0.156096 0.683903i −0.834943 0.550336i \(-0.814500\pi\)
0.991040 0.133567i \(-0.0426432\pi\)
\(150\) 2924.05 3666.64i 1.59165 1.99587i
\(151\) 2347.31 + 1130.40i 1.26504 + 0.609211i 0.941503 0.337004i \(-0.109414\pi\)
0.323537 + 0.946215i \(0.395128\pi\)
\(152\) −440.611 + 552.508i −0.235120 + 0.294831i
\(153\) 64.5789 + 80.9794i 0.0341235 + 0.0427895i
\(154\) 409.305 + 1148.49i 0.214173 + 0.600963i
\(155\) −746.835 + 936.502i −0.387014 + 0.485301i
\(156\) 210.235 + 921.101i 0.107899 + 0.472738i
\(157\) −1043.84 1308.93i −0.530621 0.665377i 0.442205 0.896914i \(-0.354196\pi\)
−0.972826 + 0.231536i \(0.925625\pi\)
\(158\) −43.1403 + 189.010i −0.0217219 + 0.0951697i
\(159\) 1888.62 909.514i 0.941998 0.453642i
\(160\) −1014.60 + 4445.25i −0.501320 + 2.19642i
\(161\) 246.645 + 692.078i 0.120735 + 0.338779i
\(162\) 538.339 + 2358.62i 0.261086 + 1.14389i
\(163\) −1161.19 1456.08i −0.557982 0.699688i 0.420201 0.907431i \(-0.361960\pi\)
−0.978183 + 0.207743i \(0.933388\pi\)
\(164\) −2929.02 + 1410.54i −1.39462 + 0.671615i
\(165\) 1642.20 0.774819
\(166\) 3791.39 1.77271
\(167\) −827.079 + 398.300i −0.383241 + 0.184559i −0.615578 0.788076i \(-0.711077\pi\)
0.232336 + 0.972635i \(0.425363\pi\)
\(168\) −275.515 + 444.130i −0.126527 + 0.203961i
\(169\) 1178.86 + 567.711i 0.536579 + 0.258403i
\(170\) −2224.84 1071.43i −1.00375 0.483381i
\(171\) 84.4407 + 369.959i 0.0377622 + 0.165447i
\(172\) 120.057 + 526.006i 0.0532226 + 0.233184i
\(173\) −2079.01 1001.20i −0.913665 0.439998i −0.0828597 0.996561i \(-0.526405\pi\)
−0.830805 + 0.556563i \(0.812120\pi\)
\(174\) −4786.12 2304.87i −2.08526 1.00421i
\(175\) 2460.97 3967.07i 1.06304 1.71361i
\(176\) −1150.74 + 554.168i −0.492843 + 0.237341i
\(177\) 837.627 0.355706
\(178\) −3864.75 −1.62739
\(179\) −3037.02 + 1462.55i −1.26814 + 0.610706i −0.942316 0.334723i \(-0.891357\pi\)
−0.325827 + 0.945429i \(0.605643\pi\)
\(180\) 243.302 + 305.091i 0.100748 + 0.126334i
\(181\) −419.555 1838.19i −0.172294 0.754870i −0.985050 0.172266i \(-0.944891\pi\)
0.812756 0.582604i \(-0.197966\pi\)
\(182\) 705.305 + 1979.06i 0.287256 + 0.806031i
\(183\) −654.678 + 2868.33i −0.264455 + 1.15865i
\(184\) −206.320 + 99.3585i −0.0826637 + 0.0398087i
\(185\) −165.816 + 726.488i −0.0658975 + 0.288716i
\(186\) 715.563 + 897.288i 0.282084 + 0.353722i
\(187\) −128.626 563.549i −0.0503000 0.220379i
\(188\) 105.962 132.872i 0.0411068 0.0515463i
\(189\) 914.881 + 2567.12i 0.352105 + 0.987994i
\(190\) −5640.77 7073.30i −2.15381 2.70080i
\(191\) −2095.21 + 2627.31i −0.793738 + 0.995316i 0.206121 + 0.978527i \(0.433916\pi\)
−0.999859 + 0.0167898i \(0.994655\pi\)
\(192\) 1334.32 + 642.575i 0.501543 + 0.241530i
\(193\) 163.821 205.425i 0.0610990 0.0766157i −0.750343 0.661049i \(-0.770112\pi\)
0.811442 + 0.584433i \(0.198683\pi\)
\(194\) 56.4232 247.206i 0.0208812 0.0914865i
\(195\) 2829.80 1.03921
\(196\) 941.735 2014.48i 0.343198 0.734142i
\(197\) 2786.75 1.00786 0.503929 0.863745i \(-0.331887\pi\)
0.503929 + 0.863745i \(0.331887\pi\)
\(198\) −45.4079 + 198.945i −0.0162980 + 0.0714062i
\(199\) 2958.73 3710.13i 1.05396 1.32163i 0.109149 0.994025i \(-0.465187\pi\)
0.944815 0.327604i \(-0.106241\pi\)
\(200\) 1310.96 + 631.327i 0.463496 + 0.223208i
\(201\) −1849.41 + 2319.09i −0.648992 + 0.813810i
\(202\) 138.076 + 173.141i 0.0480939 + 0.0603079i
\(203\) −5001.16 1717.76i −1.72912 0.593907i
\(204\) −660.339 + 828.039i −0.226632 + 0.284188i
\(205\) 2166.73 + 9493.07i 0.738200 + 3.23427i
\(206\) 4316.71 + 5412.98i 1.46000 + 1.83078i
\(207\) −27.3626 + 119.884i −0.00918761 + 0.0402535i
\(208\) −1982.93 + 954.930i −0.661017 + 0.318329i
\(209\) 471.248 2064.67i 0.155966 0.683333i
\(210\) −4758.40 4703.98i −1.56362 1.54574i
\(211\) 317.135 + 1389.46i 0.103471 + 0.453338i 0.999948 + 0.0102457i \(0.00326135\pi\)
−0.896476 + 0.443092i \(0.853882\pi\)
\(212\) −1733.22 2173.39i −0.561499 0.704098i
\(213\) −1363.40 + 656.577i −0.438584 + 0.211211i
\(214\) 6093.91 1.94659
\(215\) 1615.99 0.512604
\(216\) −765.303 + 368.550i −0.241075 + 0.116096i
\(217\) 812.456 + 803.164i 0.254162 + 0.251255i
\(218\) −1817.27 875.151i −0.564592 0.271893i
\(219\) 2.93374 + 1.41282i 0.000905223 + 0.000435932i
\(220\) −484.602 2123.18i −0.148508 0.650658i
\(221\) −221.646 971.095i −0.0674640 0.295579i
\(222\) 643.264 + 309.779i 0.194473 + 0.0936533i
\(223\) 2454.23 + 1181.89i 0.736983 + 0.354912i 0.764426 0.644711i \(-0.223022\pi\)
−0.0274432 + 0.999623i \(0.508737\pi\)
\(224\) 4112.86 + 1412.66i 1.22680 + 0.421371i
\(225\) 703.957 339.008i 0.208580 0.100447i
\(226\) 5072.60 1.49303
\(227\) 2063.91 0.603466 0.301733 0.953393i \(-0.402435\pi\)
0.301733 + 0.953393i \(0.402435\pi\)
\(228\) −3495.97 + 1683.57i −1.01546 + 0.489022i
\(229\) −918.672 1151.98i −0.265099 0.332423i 0.631410 0.775449i \(-0.282476\pi\)
−0.896509 + 0.443026i \(0.853905\pi\)
\(230\) −652.358 2858.17i −0.187023 0.819400i
\(231\) 166.411 1557.39i 0.0473984 0.443587i
\(232\) 366.750 1606.84i 0.103786 0.454715i
\(233\) 3651.17 1758.31i 1.02659 0.494380i 0.156712 0.987644i \(-0.449911\pi\)
0.869880 + 0.493264i \(0.164196\pi\)
\(234\) −78.2459 + 342.818i −0.0218594 + 0.0957723i
\(235\) −317.375 397.975i −0.0880989 0.110473i
\(236\) −247.178 1082.96i −0.0681775 0.298705i
\(237\) 155.278 194.713i 0.0425587 0.0533669i
\(238\) −1241.55 + 2001.37i −0.338140 + 0.545081i
\(239\) −890.104 1116.15i −0.240904 0.302084i 0.646651 0.762786i \(-0.276169\pi\)
−0.887555 + 0.460702i \(0.847598\pi\)
\(240\) 4370.16 5480.00i 1.17538 1.47389i
\(241\) −2171.23 1045.61i −0.580338 0.279476i 0.120597 0.992702i \(-0.461519\pi\)
−0.700934 + 0.713226i \(0.747233\pi\)
\(242\) −2448.15 + 3069.89i −0.650302 + 0.815453i
\(243\) −192.540 + 843.574i −0.0508291 + 0.222697i
\(244\) 3901.62 1.02367
\(245\) −5254.79 4092.57i −1.37027 1.06720i
\(246\) 9329.48 2.41799
\(247\) 812.045 3557.80i 0.209187 0.916508i
\(248\) −222.010 + 278.392i −0.0568455 + 0.0712820i
\(249\) −4388.12 2113.21i −1.11681 0.537827i
\(250\) −5854.85 + 7341.75i −1.48117 + 1.85733i
\(251\) −717.588 899.827i −0.180453 0.226281i 0.683375 0.730067i \(-0.260511\pi\)
−0.863828 + 0.503786i \(0.831940\pi\)
\(252\) 313.989 199.820i 0.0784899 0.0499504i
\(253\) 427.873 536.535i 0.106325 0.133327i
\(254\) −963.648 4222.02i −0.238050 1.04296i
\(255\) 1977.83 + 2480.12i 0.485711 + 0.609063i
\(256\) −1153.74 + 5054.85i −0.281674 + 1.23409i
\(257\) 311.415 149.969i 0.0755856 0.0364001i −0.395709 0.918376i \(-0.629501\pi\)
0.471295 + 0.881976i \(0.343787\pi\)
\(258\) 344.535 1509.51i 0.0831388 0.364255i
\(259\) 672.166 + 230.870i 0.161260 + 0.0553884i
\(260\) −835.055 3658.61i −0.199184 0.872683i
\(261\) −551.803 691.939i −0.130865 0.164099i
\(262\) −2267.98 + 1092.20i −0.534795 + 0.257544i
\(263\) −3737.45 −0.876278 −0.438139 0.898907i \(-0.644362\pi\)
−0.438139 + 0.898907i \(0.644362\pi\)
\(264\) 488.174 0.113807
\(265\) −7501.62 + 3612.59i −1.73895 + 0.837432i
\(266\) −7279.60 + 4632.69i −1.67797 + 1.06785i
\(267\) 4473.02 + 2154.09i 1.02526 + 0.493739i
\(268\) 3544.06 + 1706.73i 0.807791 + 0.389012i
\(269\) −771.060 3378.24i −0.174767 0.765705i −0.983993 0.178207i \(-0.942970\pi\)
0.809226 0.587498i \(-0.199887\pi\)
\(270\) −2419.79 10601.8i −0.545421 2.38965i
\(271\) −944.254 454.729i −0.211658 0.101929i 0.325051 0.945696i \(-0.394618\pi\)
−0.536709 + 0.843767i \(0.680333\pi\)
\(272\) −2222.85 1070.47i −0.495515 0.238628i
\(273\) 286.755 2683.66i 0.0635722 0.594954i
\(274\) 7376.66 3552.41i 1.62642 0.783245i
\(275\) −4360.48 −0.956171
\(276\) −1257.37 −0.274220
\(277\) 1040.34 501.003i 0.225661 0.108673i −0.317637 0.948212i \(-0.602889\pi\)
0.543299 + 0.839540i \(0.317175\pi\)
\(278\) −2213.57 2775.73i −0.477558 0.598839i
\(279\) 42.5472 + 186.411i 0.00912986 + 0.0400005i
\(280\) 1094.35 1764.08i 0.233570 0.376515i
\(281\) −2011.57 + 8813.29i −0.427048 + 1.87102i 0.0608948 + 0.998144i \(0.480605\pi\)
−0.487943 + 0.872876i \(0.662253\pi\)
\(282\) −439.416 + 211.612i −0.0927902 + 0.0446854i
\(283\) −1664.17 + 7291.20i −0.349557 + 1.53151i 0.428633 + 0.903479i \(0.358995\pi\)
−0.778190 + 0.628029i \(0.783862\pi\)
\(284\) 1251.21 + 1568.96i 0.261428 + 0.327820i
\(285\) 2586.13 + 11330.6i 0.537505 + 2.35496i
\(286\) 1223.54 1534.27i 0.252970 0.317215i
\(287\) 9222.36 1092.86i 1.89679 0.224772i
\(288\) 453.793 + 569.038i 0.0928472 + 0.116427i
\(289\) −2367.03 + 2968.16i −0.481788 + 0.604143i
\(290\) 19010.4 + 9154.95i 3.84942 + 1.85378i
\(291\) −203.089 + 254.665i −0.0409116 + 0.0513015i
\(292\) 0.960883 4.20990i 0.000192573 0.000843719i
\(293\) 4346.45 0.866629 0.433314 0.901243i \(-0.357344\pi\)
0.433314 + 0.901243i \(0.357344\pi\)
\(294\) −4943.23 + 4035.98i −0.980595 + 0.800622i
\(295\) −3327.05 −0.656639
\(296\) −49.2919 + 215.962i −0.00967917 + 0.0424072i
\(297\) 1587.11 1990.17i 0.310079 0.388826i
\(298\) 4374.65 + 2106.72i 0.850392 + 0.409527i
\(299\) 737.301 924.546i 0.142606 0.178822i
\(300\) 4981.29 + 6246.35i 0.958651 + 1.20211i
\(301\) 163.755 1532.53i 0.0313577 0.293468i
\(302\) −6181.90 + 7751.85i −1.17791 + 1.47705i
\(303\) −63.3036 277.351i −0.0120023 0.0525855i
\(304\) −5635.72 7066.98i −1.06326 1.33329i
\(305\) 2600.38 11393.0i 0.488188 2.13889i
\(306\) −355.143 + 171.028i −0.0663470 + 0.0319510i
\(307\) −287.652 + 1260.28i −0.0534760 + 0.234294i −0.994602 0.103762i \(-0.966912\pi\)
0.941126 + 0.338056i \(0.109769\pi\)
\(308\) −2062.63 + 244.424i −0.381589 + 0.0452187i
\(309\) −1979.08 8670.93i −0.364356 1.59635i
\(310\) −2842.22 3564.03i −0.520732 0.652978i
\(311\) −3068.19 + 1477.56i −0.559424 + 0.269405i −0.692157 0.721747i \(-0.743339\pi\)
0.132732 + 0.991152i \(0.457625\pi\)
\(312\) 841.211 0.152642
\(313\) −4532.98 −0.818591 −0.409296 0.912402i \(-0.634226\pi\)
−0.409296 + 0.912402i \(0.634226\pi\)
\(314\) 5740.46 2764.46i 1.03170 0.496839i
\(315\) −374.220 1050.05i −0.0669363 0.187821i
\(316\) −297.563 143.299i −0.0529722 0.0255101i
\(317\) −8173.17 3935.99i −1.44811 0.697373i −0.465844 0.884867i \(-0.654249\pi\)
−0.982266 + 0.187494i \(0.939964\pi\)
\(318\) 1775.17 + 7777.51i 0.313039 + 1.37151i
\(319\) 1099.06 + 4815.32i 0.192902 + 0.845160i
\(320\) −5299.92 2552.31i −0.925858 0.445870i
\(321\) −7053.03 3396.56i −1.22636 0.590584i
\(322\) −2776.66 + 329.037i −0.480551 + 0.0569458i
\(323\) 3685.71 1774.95i 0.634918 0.305761i
\(324\) −4121.38 −0.706684
\(325\) −7513.89 −1.28245
\(326\) 6385.79 3075.23i 1.08490 0.522458i
\(327\) 1615.51 + 2025.78i 0.273204 + 0.342587i
\(328\) 644.101 + 2821.99i 0.108428 + 0.475056i
\(329\) −409.583 + 260.655i −0.0686353 + 0.0436790i
\(330\) −1390.69 + 6093.00i −0.231984 + 1.01639i
\(331\) −5079.20 + 2446.01i −0.843438 + 0.406178i −0.805138 0.593088i \(-0.797909\pi\)
−0.0383003 + 0.999266i \(0.512194\pi\)
\(332\) −1437.23 + 6296.93i −0.237585 + 1.04093i
\(333\) 74.1634 + 92.9980i 0.0122046 + 0.0153041i
\(334\) −777.392 3405.98i −0.127356 0.557985i
\(335\) 7345.85 9211.41i 1.19805 1.50231i
\(336\) −4754.14 4699.77i −0.771904 0.763076i
\(337\) 7432.57 + 9320.14i 1.20142 + 1.50653i 0.810118 + 0.586267i \(0.199403\pi\)
0.391300 + 0.920263i \(0.372026\pi\)
\(338\) −3104.67 + 3893.13i −0.499621 + 0.626505i
\(339\) −5870.97 2827.31i −0.940611 0.452974i
\(340\) 2622.87 3288.97i 0.418367 0.524616i
\(341\) 237.448 1040.33i 0.0377083 0.165211i
\(342\) −1444.15 −0.228336
\(343\) −4413.69 + 4568.69i −0.694802 + 0.719201i
\(344\) 480.384 0.0752923
\(345\) −838.023 + 3671.62i −0.130776 + 0.572966i
\(346\) 5475.30 6865.81i 0.850734 1.06679i
\(347\) 2070.30 + 997.005i 0.320287 + 0.154242i 0.587118 0.809501i \(-0.300262\pi\)
−0.266831 + 0.963743i \(0.585977\pi\)
\(348\) 5642.35 7075.28i 0.869143 1.08987i
\(349\) −1580.88 1982.36i −0.242472 0.304050i 0.645673 0.763614i \(-0.276577\pi\)
−0.888145 + 0.459564i \(0.848006\pi\)
\(350\) 12634.8 + 12490.3i 1.92960 + 1.90753i
\(351\) 2734.87 3429.42i 0.415887 0.521506i
\(352\) −903.851 3960.03i −0.136862 0.599632i
\(353\) −4072.62 5106.90i −0.614061 0.770008i 0.373434 0.927657i \(-0.378180\pi\)
−0.987495 + 0.157649i \(0.949609\pi\)
\(354\) −709.339 + 3107.82i −0.106500 + 0.466606i
\(355\) 5415.41 2607.92i 0.809634 0.389899i
\(356\) 1465.04 6418.76i 0.218109 0.955600i
\(357\) 2552.45 1624.36i 0.378404 0.240813i
\(358\) −2854.57 12506.7i −0.421422 1.84637i
\(359\) 1588.55 + 1991.98i 0.233539 + 0.292848i 0.884767 0.466034i \(-0.154317\pi\)
−0.651228 + 0.758882i \(0.725746\pi\)
\(360\) 313.037 150.751i 0.0458292 0.0220702i
\(361\) 8128.58 1.18510
\(362\) 7175.46 1.04181
\(363\) 4544.52 2188.53i 0.657095 0.316440i
\(364\) −3554.28 + 421.186i −0.511800 + 0.0606488i
\(365\) −11.6528 5.61170i −0.00167106 0.000804739i
\(366\) −10087.9 4858.06i −1.44071 0.693811i
\(367\) −396.908 1738.97i −0.0564535 0.247339i 0.938826 0.344393i \(-0.111915\pi\)
−0.995279 + 0.0970538i \(0.969058\pi\)
\(368\) −651.775 2855.61i −0.0923263 0.404508i
\(369\) 1400.39 + 674.391i 0.197564 + 0.0951420i
\(370\) −2555.04 1230.44i −0.359001 0.172886i
\(371\) 2665.85 + 7480.27i 0.373056 + 1.04678i
\(372\) −1761.51 + 848.300i −0.245511 + 0.118232i
\(373\) −673.736 −0.0935248 −0.0467624 0.998906i \(-0.514890\pi\)
−0.0467624 + 0.998906i \(0.514890\pi\)
\(374\) 2199.84 0.304147
\(375\) 10868.4 5233.95i 1.49665 0.720747i
\(376\) −94.3454 118.305i −0.0129401 0.0162264i
\(377\) 1893.88 + 8297.65i 0.258727 + 1.13356i
\(378\) −10299.5 + 1220.50i −1.40145 + 0.166073i
\(379\) −909.196 + 3983.45i −0.123225 + 0.539884i 0.875199 + 0.483763i \(0.160730\pi\)
−0.998424 + 0.0561207i \(0.982127\pi\)
\(380\) 13886.0 6687.13i 1.87457 0.902744i
\(381\) −1237.91 + 5423.62i −0.166456 + 0.729293i
\(382\) −7973.70 9998.70i −1.06798 1.33921i
\(383\) 32.7234 + 143.370i 0.00436576 + 0.0191276i 0.977064 0.212946i \(-0.0683060\pi\)
−0.972698 + 0.232074i \(0.925449\pi\)
\(384\) 2211.69 2773.37i 0.293919 0.368562i
\(385\) −660.983 + 6185.95i −0.0874982 + 0.818870i
\(386\) 623.451 + 781.782i 0.0822093 + 0.103087i
\(387\) 160.832 201.677i 0.0211255 0.0264905i
\(388\) 389.183 + 187.421i 0.0509221 + 0.0245228i
\(389\) −1893.53 + 2374.42i −0.246802 + 0.309480i −0.889766 0.456416i \(-0.849133\pi\)
0.642965 + 0.765896i \(0.277704\pi\)
\(390\) −2396.40 + 10499.3i −0.311145 + 1.36321i
\(391\) 1325.62 0.171456
\(392\) −1562.08 1216.59i −0.201268 0.156753i
\(393\) 3233.70 0.415059
\(394\) −2359.94 + 10339.6i −0.301757 + 1.32208i
\(395\) −616.765 + 773.399i −0.0785641 + 0.0985163i
\(396\) −313.205 150.831i −0.0397453 0.0191403i
\(397\) 4110.63 5154.57i 0.519664 0.651638i −0.450874 0.892588i \(-0.648888\pi\)
0.970538 + 0.240950i \(0.0774589\pi\)
\(398\) 11260.0 + 14119.6i 1.41812 + 1.77827i
\(399\) 11007.5 1304.39i 1.38111 0.163663i
\(400\) −11603.9 + 14550.9i −1.45049 + 1.81886i
\(401\) −1128.10 4942.51i −0.140485 0.615505i −0.995322 0.0966088i \(-0.969200\pi\)
0.854838 0.518896i \(-0.173657\pi\)
\(402\) −7038.26 8825.70i −0.873225 1.09499i
\(403\) 409.165 1792.67i 0.0505756 0.221586i
\(404\) −339.903 + 163.689i −0.0418584 + 0.0201580i
\(405\) −2746.85 + 12034.7i −0.337017 + 1.47657i
\(406\) 10608.5 17100.9i 1.29678 2.09041i
\(407\) −147.717 647.188i −0.0179903 0.0788205i
\(408\) 587.945 + 737.260i 0.0713423 + 0.0894604i
\(409\) 9356.48 4505.84i 1.13117 0.544742i 0.227844 0.973698i \(-0.426832\pi\)
0.903326 + 0.428955i \(0.141118\pi\)
\(410\) −37056.7 −4.46366
\(411\) −10517.7 −1.26228
\(412\) −10626.5 + 5117.46i −1.27070 + 0.611939i
\(413\) −337.144 + 3155.23i −0.0401689 + 0.375929i
\(414\) −421.628 203.045i −0.0500528 0.0241042i
\(415\) 17429.6 + 8393.65i 2.06165 + 0.992839i
\(416\) −1557.50 6823.84i −0.183564 0.804245i
\(417\) 1014.86 + 4446.38i 0.119179 + 0.522158i
\(418\) 7261.41 + 3496.91i 0.849683 + 0.409186i
\(419\) 2572.78 + 1238.98i 0.299972 + 0.144459i 0.577815 0.816167i \(-0.303905\pi\)
−0.277843 + 0.960626i \(0.589620\pi\)
\(420\) 9616.39 6119.80i 1.11722 0.710990i
\(421\) 6087.70 2931.68i 0.704742 0.339386i −0.0469524 0.998897i \(-0.514951\pi\)
0.751695 + 0.659511i \(0.229237\pi\)
\(422\) −5423.82 −0.625657
\(423\) −81.2544 −0.00933978
\(424\) −2229.99 + 1073.91i −0.255420 + 0.123004i
\(425\) −5251.66 6585.37i −0.599395 0.751618i
\(426\) −1281.49 5614.58i −0.145748 0.638562i
\(427\) −10541.1 3620.58i −1.19466 0.410333i
\(428\) −2310.07 + 10121.1i −0.260891 + 1.14304i
\(429\) −2271.27 + 1093.79i −0.255613 + 0.123097i
\(430\) −1368.49 + 5995.76i −0.153476 + 0.672421i
\(431\) 6680.67 + 8377.30i 0.746628 + 0.936242i 0.999511 0.0312550i \(-0.00995041\pi\)
−0.252884 + 0.967497i \(0.581379\pi\)
\(432\) −2417.63 10592.3i −0.269255 1.17968i
\(433\) −3413.28 + 4280.11i −0.378826 + 0.475033i −0.934293 0.356506i \(-0.883968\pi\)
0.555467 + 0.831538i \(0.312539\pi\)
\(434\) −3667.97 + 2334.27i −0.405687 + 0.258177i
\(435\) −16899.8 21191.7i −1.86272 2.33578i
\(436\) 2142.38 2686.46i 0.235324 0.295087i
\(437\) 4375.70 + 2107.23i 0.478989 + 0.230669i
\(438\) −7.72634 + 9.68852i −0.000842874 + 0.00105693i
\(439\) −2482.38 + 10876.0i −0.269880 + 1.18242i 0.640272 + 0.768148i \(0.278822\pi\)
−0.910152 + 0.414274i \(0.864036\pi\)
\(440\) −1939.03 −0.210090
\(441\) −1033.74 + 248.488i −0.111623 + 0.0268317i
\(442\) 3790.72 0.407932
\(443\) 4101.24 17968.7i 0.439855 1.92713i 0.0715136 0.997440i \(-0.477217\pi\)
0.368341 0.929691i \(-0.379926\pi\)
\(444\) −758.343 + 950.932i −0.0810572 + 0.101642i
\(445\) −17766.8 8556.05i −1.89265 0.911451i
\(446\) −6463.49 + 8104.95i −0.686222 + 0.860495i
\(447\) −3888.95 4876.59i −0.411502 0.516007i
\(448\) −2957.55 + 4767.57i −0.311900 + 0.502782i
\(449\) 802.419 1006.20i 0.0843396 0.105758i −0.737871 0.674941i \(-0.764169\pi\)
0.822211 + 0.569183i \(0.192740\pi\)
\(450\) 661.667 + 2898.95i 0.0693140 + 0.303684i
\(451\) −5408.36 6781.87i −0.564678 0.708084i
\(452\) −1922.91 + 8424.81i −0.200102 + 0.876703i
\(453\) 11475.5 5526.31i 1.19021 0.573176i
\(454\) −1747.81 + 7657.66i −0.180680 + 0.791612i
\(455\) −1138.99 + 10659.5i −0.117355 + 1.09830i
\(456\) 768.773 + 3368.22i 0.0789498 + 0.345902i
\(457\) 6691.66 + 8391.07i 0.684951 + 0.858901i 0.995800 0.0915583i \(-0.0291848\pi\)
−0.310849 + 0.950459i \(0.600613\pi\)
\(458\) 5052.12 2432.97i 0.515436 0.248221i
\(459\) 4917.11 0.500024
\(460\) 4994.28 0.506216
\(461\) −4476.80 + 2155.91i −0.452289 + 0.217811i −0.646138 0.763220i \(-0.723617\pi\)
0.193849 + 0.981031i \(0.437903\pi\)
\(462\) 5637.40 + 1936.29i 0.567696 + 0.194988i
\(463\) 3088.30 + 1487.25i 0.309990 + 0.149283i 0.582410 0.812895i \(-0.302110\pi\)
−0.272420 + 0.962178i \(0.587824\pi\)
\(464\) 18993.4 + 9146.76i 1.90032 + 0.915146i
\(465\) 1303.07 + 5709.13i 0.129954 + 0.569364i
\(466\) 3431.82 + 15035.8i 0.341151 + 1.49468i
\(467\) 4178.60 + 2012.31i 0.414053 + 0.199397i 0.629300 0.777162i \(-0.283342\pi\)
−0.215248 + 0.976560i \(0.569056\pi\)
\(468\) −539.707 259.909i −0.0533076 0.0256716i
\(469\) −7991.30 7899.90i −0.786789 0.777790i
\(470\) 1745.36 840.521i 0.171292 0.0824901i
\(471\) −8184.77 −0.800710
\(472\) −989.028 −0.0964485
\(473\) −1297.03 + 624.619i −0.126084 + 0.0607188i
\(474\) 590.940 + 741.015i 0.0572632 + 0.0718058i
\(475\) −6866.86 30085.7i −0.663311 2.90616i
\(476\) −2853.32 2820.69i −0.274752 0.271610i
\(477\) −295.747 + 1295.75i −0.0283885 + 0.124378i
\(478\) 4895.01 2357.31i 0.468394 0.225567i
\(479\) 1440.84 6312.74i 0.137440 0.602164i −0.858552 0.512726i \(-0.828636\pi\)
0.995992 0.0894383i \(-0.0285072\pi\)
\(480\) 13898.1 + 17427.7i 1.32158 + 1.65721i
\(481\) −254.542 1115.22i −0.0241291 0.105717i
\(482\) 5718.18 7170.38i 0.540365 0.677597i
\(483\) 3397.08 + 1166.80i 0.320025 + 0.109920i
\(484\) −4170.57 5229.73i −0.391677 0.491147i
\(485\) 806.668 1011.53i 0.0755236 0.0947035i
\(486\) −2966.83 1428.75i −0.276910 0.133353i
\(487\) 5437.46 6818.36i 0.505944 0.634434i −0.461614 0.887081i \(-0.652730\pi\)
0.967559 + 0.252647i \(0.0813010\pi\)
\(488\) 773.011 3386.78i 0.0717061 0.314165i
\(489\) −9104.88 −0.841998
\(490\) 19634.5 16030.9i 1.81020 1.47796i
\(491\) −2527.73 −0.232331 −0.116166 0.993230i \(-0.537060\pi\)
−0.116166 + 0.993230i \(0.537060\pi\)
\(492\) −3536.60 + 15494.8i −0.324069 + 1.41984i
\(493\) −5948.60 + 7459.30i −0.543431 + 0.681440i
\(494\) 12512.7 + 6025.80i 1.13962 + 0.548813i
\(495\) −649.186 + 814.053i −0.0589469 + 0.0739171i
\(496\) −2839.67 3560.84i −0.257067 0.322351i
\(497\) −1924.47 5400.00i −0.173691 0.487370i
\(498\) 11556.6 14491.5i 1.03989 1.30398i
\(499\) −220.332 965.337i −0.0197664 0.0866021i 0.964083 0.265602i \(-0.0855708\pi\)
−0.983849 + 0.179000i \(0.942714\pi\)
\(500\) −9974.09 12507.1i −0.892110 1.11867i
\(501\) −998.642 + 4375.34i −0.0890540 + 0.390171i
\(502\) 3946.28 1900.43i 0.350859 0.168965i
\(503\) −2321.79 + 10172.4i −0.205813 + 0.901724i 0.761506 + 0.648158i \(0.224460\pi\)
−0.967318 + 0.253566i \(0.918397\pi\)
\(504\) −111.244 312.146i −0.00983174 0.0275875i
\(505\) 251.442 + 1101.64i 0.0221565 + 0.0970738i
\(506\) 1628.35 + 2041.88i 0.143061 + 0.179393i
\(507\) 5763.22 2775.42i 0.504840 0.243118i
\(508\) 7377.42 0.644331
\(509\) 92.7155 0.00807375 0.00403688 0.999992i \(-0.498715\pi\)
0.00403688 + 0.999992i \(0.498715\pi\)
\(510\) −10876.8 + 5237.99i −0.944378 + 0.454788i
\(511\) −6.50271 + 10.4823i −0.000562941 + 0.000907459i
\(512\) −12547.9 6042.76i −1.08309 0.521591i
\(513\) 16230.8 + 7816.33i 1.39689 + 0.672708i
\(514\) 292.707 + 1282.43i 0.0251182 + 0.110050i
\(515\) 7860.91 + 34440.9i 0.672608 + 2.94689i
\(516\) 2376.46 + 1144.44i 0.202747 + 0.0976380i
\(517\) 408.559 + 196.752i 0.0347551 + 0.0167372i
\(518\) −1425.81 + 2298.40i −0.120939 + 0.194954i
\(519\) −10163.8 + 4894.65i −0.859621 + 0.413972i
\(520\) −3341.29 −0.281779
\(521\) 13205.3 1.11043 0.555217 0.831705i \(-0.312635\pi\)
0.555217 + 0.831705i \(0.312635\pi\)
\(522\) 3034.57 1461.37i 0.254443 0.122533i
\(523\) −10429.3 13077.9i −0.871972 1.09342i −0.994886 0.101001i \(-0.967795\pi\)
0.122914 0.992417i \(-0.460776\pi\)
\(524\) −954.240 4180.80i −0.0795538 0.348548i
\(525\) −7661.68 21498.4i −0.636921 1.78718i
\(526\) 3165.04 13866.9i 0.262361 1.14948i
\(527\) 1857.12 894.342i 0.153506 0.0739244i
\(528\) −1389.44 + 6087.55i −0.114522 + 0.501755i
\(529\) −6604.77 8282.11i −0.542843 0.680703i
\(530\) −7050.96 30892.3i −0.577876 2.53184i
\(531\) −331.126 + 415.219i −0.0270615 + 0.0339340i
\(532\) −4934.65 13846.5i −0.402151 1.12842i
\(533\) −9319.57 11686.4i −0.757365 0.949705i
\(534\) −11780.2 + 14771.9i −0.954642 + 1.19708i
\(535\) 28014.6 + 13491.1i 2.26388 + 1.09023i
\(536\) 2183.69 2738.26i 0.175972 0.220662i
\(537\) −3667.00 + 16066.2i −0.294679 + 1.29107i
\(538\) 13187.1 1.05676
\(539\) 5799.49 + 1253.69i 0.463454 + 0.100186i
\(540\) 18525.3 1.47630
\(541\) 2415.74 10584.0i 0.191979 0.841116i −0.783565 0.621310i \(-0.786601\pi\)
0.975544 0.219805i \(-0.0705422\pi\)
\(542\) 2486.80 3118.35i 0.197080 0.247130i
\(543\) −8304.80 3999.38i −0.656341 0.316077i
\(544\) 4892.02 6134.40i 0.385558 0.483474i
\(545\) −6416.79 8046.40i −0.504339 0.632422i
\(546\) 9714.24 + 3336.58i 0.761412 + 0.261524i
\(547\) −12057.3 + 15119.4i −0.942472 + 1.18182i 0.0407052 + 0.999171i \(0.487040\pi\)
−0.983178 + 0.182652i \(0.941532\pi\)
\(548\) 3103.69 + 13598.1i 0.241940 + 1.06001i
\(549\) −1163.05 1458.42i −0.0904152 0.113377i
\(550\) 3692.65 16178.5i 0.286282 1.25428i
\(551\) −31493.0 + 15166.3i −2.43493 + 1.17260i
\(552\) −249.118 + 1091.46i −0.0192086 + 0.0841584i
\(553\) 670.958 + 663.284i 0.0515950 + 0.0510049i
\(554\) 977.845 + 4284.22i 0.0749903 + 0.328554i
\(555\) 2271.37 + 2848.20i 0.173719 + 0.217837i
\(556\) 5449.18 2624.19i 0.415642 0.200162i
\(557\) 2284.42 0.173778 0.0868889 0.996218i \(-0.472307\pi\)
0.0868889 + 0.996218i \(0.472307\pi\)
\(558\) −727.666 −0.0552053
\(559\) −2235.02 + 1076.33i −0.169108 + 0.0814381i
\(560\) 18883.4 + 18667.5i 1.42495 + 1.40865i
\(561\) −2546.07 1226.12i −0.191614 0.0922763i
\(562\) −30996.1 14926.9i −2.32650 1.12038i
\(563\) 1347.54 + 5903.96i 0.100874 + 0.441958i 0.999991 + 0.00424928i \(0.00135259\pi\)
−0.899117 + 0.437708i \(0.855790\pi\)
\(564\) −184.882 810.020i −0.0138031 0.0604752i
\(565\) 23319.5 + 11230.1i 1.73638 + 0.836199i
\(566\) −25643.0 12349.0i −1.90434 0.917080i
\(567\) 11134.8 + 3824.51i 0.824726 + 0.283271i
\(568\) 1609.83 775.253i 0.118921 0.0572692i
\(569\) 6409.87 0.472259 0.236130 0.971722i \(-0.424121\pi\)
0.236130 + 0.971722i \(0.424121\pi\)
\(570\) −44229.4 −3.25012
\(571\) −15843.3 + 7629.74i −1.16116 + 0.559185i −0.912368 0.409372i \(-0.865748\pi\)
−0.248792 + 0.968557i \(0.580034\pi\)
\(572\) 2084.37 + 2613.72i 0.152364 + 0.191058i
\(573\) 3655.70 + 16016.7i 0.266526 + 1.16773i
\(574\) −3755.10 + 35142.9i −0.273057 + 2.55546i
\(575\) 2225.17 9749.12i 0.161385 0.707072i
\(576\) −846.006 + 407.415i −0.0611984 + 0.0294716i
\(577\) 987.411 4326.13i 0.0712417 0.312130i −0.926735 0.375716i \(-0.877397\pi\)
0.997976 + 0.0635863i \(0.0202538\pi\)
\(578\) −9008.14 11295.9i −0.648251 0.812882i
\(579\) −285.834 1252.32i −0.0205161 0.0898870i
\(580\) −22411.4 + 28103.0i −1.60445 + 2.01192i
\(581\) 9726.37 15678.9i 0.694523 1.11957i
\(582\) −772.891 969.175i −0.0550470 0.0690268i
\(583\) 4624.63 5799.10i 0.328529 0.411962i
\(584\) −3.46401 1.66818i −0.000245448 0.000118202i
\(585\) −1118.66 + 1402.76i −0.0790615 + 0.0991400i
\(586\) −3680.76 + 16126.5i −0.259472 + 1.13682i
\(587\) −2816.42 −0.198034 −0.0990172 0.995086i \(-0.531570\pi\)
−0.0990172 + 0.995086i \(0.531570\pi\)
\(588\) −4829.28 9739.90i −0.338701 0.683106i
\(589\) 7551.79 0.528296
\(590\) 2817.49 12344.2i 0.196601 0.861364i
\(591\) 8494.34 10651.6i 0.591219 0.741366i
\(592\) −2552.76 1229.34i −0.177226 0.0853474i
\(593\) 16538.1 20738.2i 1.14526 1.43611i 0.263346 0.964701i \(-0.415174\pi\)
0.881914 0.471410i \(-0.156255\pi\)
\(594\) 6040.02 + 7573.95i 0.417214 + 0.523170i
\(595\) −10138.3 + 6451.96i −0.698540 + 0.444546i
\(596\) −5157.28 + 6467.02i −0.354447 + 0.444462i
\(597\) −5162.37 22617.8i −0.353906 1.55056i
\(598\) 2805.93 + 3518.53i 0.191878 + 0.240607i
\(599\) −2949.94 + 12924.5i −0.201221 + 0.881605i 0.768974 + 0.639280i \(0.220767\pi\)
−0.970195 + 0.242325i \(0.922090\pi\)
\(600\) 6409.04 3086.43i 0.436080 0.210005i
\(601\) −4203.97 + 18418.8i −0.285331 + 1.25012i 0.605524 + 0.795827i \(0.292964\pi\)
−0.890855 + 0.454288i \(0.849894\pi\)
\(602\) 5547.43 + 1905.39i 0.375576 + 0.129000i
\(603\) −418.493 1833.54i −0.0282626 0.123827i
\(604\) −10531.2 13205.7i −0.709453 0.889626i
\(605\) −18050.8 + 8692.83i −1.21301 + 0.584155i
\(606\) 1082.65 0.0725740
\(607\) −5674.11 −0.379415 −0.189708 0.981841i \(-0.560754\pi\)
−0.189708 + 0.981841i \(0.560754\pi\)
\(608\) 25899.3 12472.5i 1.72756 0.831949i
\(609\) −21809.7 + 13879.6i −1.45119 + 0.923528i
\(610\) 40069.0 + 19296.2i 2.65958 + 1.28079i
\(611\) 704.020 + 339.038i 0.0466147 + 0.0224485i
\(612\) −149.424 654.672i −0.00986949 0.0432411i
\(613\) 781.757 + 3425.10i 0.0515087 + 0.225675i 0.994130 0.108188i \(-0.0345049\pi\)
−0.942622 + 0.333863i \(0.891648\pi\)
\(614\) −4432.39 2134.53i −0.291330 0.140297i
\(615\) 42889.0 + 20654.3i 2.81212 + 1.35424i
\(616\) −196.489 + 1838.89i −0.0128519 + 0.120277i
\(617\) −6936.29 + 3340.34i −0.452584 + 0.217953i −0.646267 0.763111i \(-0.723671\pi\)
0.193683 + 0.981064i \(0.437957\pi\)
\(618\) 33847.4 2.20314
\(619\) −12790.2 −0.830501 −0.415251 0.909707i \(-0.636306\pi\)
−0.415251 + 0.909707i \(0.636306\pi\)
\(620\) 6996.72 3369.44i 0.453218 0.218258i
\(621\) 3639.69 + 4564.03i 0.235195 + 0.294925i
\(622\) −2883.87 12635.0i −0.185904 0.814500i
\(623\) −9914.55 + 15982.2i −0.637589 + 1.02779i
\(624\) −2394.26 + 10489.9i −0.153601 + 0.672970i
\(625\) −14780.9 + 7118.10i −0.945977 + 0.455559i
\(626\) 3838.72 16818.5i 0.245090 1.07381i
\(627\) −6455.21 8094.58i −0.411158 0.515576i
\(628\) 2415.27 + 10582.0i 0.153471 + 0.672399i
\(629\) 799.503 1002.55i 0.0506809 0.0635518i
\(630\) 4212.87 499.229i 0.266420 0.0315710i
\(631\) 11815.0 + 14815.5i 0.745400 + 0.934702i 0.999472 0.0324829i \(-0.0103415\pi\)
−0.254072 + 0.967185i \(0.581770\pi\)
\(632\) −183.345 + 229.907i −0.0115397 + 0.0144703i
\(633\) 6277.47 + 3023.07i 0.394166 + 0.189820i
\(634\) 21525.0 26991.4i 1.34837 1.69080i
\(635\) 4916.96 21542.6i 0.307281 1.34629i
\(636\) −13590.2 −0.847305
\(637\) 9993.55 + 2160.34i 0.621600 + 0.134373i
\(638\) −18796.8 −1.16642
\(639\) 213.499 935.402i 0.0132174 0.0579091i
\(640\) −8784.82 + 11015.8i −0.542579 + 0.680373i
\(641\) −13377.0 6442.01i −0.824273 0.396949i −0.0263086 0.999654i \(-0.508375\pi\)
−0.797964 + 0.602705i \(0.794090\pi\)
\(642\) 18574.9 23292.2i 1.14189 1.43189i
\(643\) −2565.55 3217.09i −0.157349 0.197309i 0.696908 0.717161i \(-0.254559\pi\)
−0.854257 + 0.519852i \(0.825987\pi\)
\(644\) 506.090 4736.35i 0.0309670 0.289811i
\(645\) 4925.73 6176.67i 0.300698 0.377064i
\(646\) 3464.30 + 15178.1i 0.210992 + 0.924417i
\(647\) 10884.3 + 13648.5i 0.661370 + 0.829332i 0.993492 0.113905i \(-0.0363358\pi\)
−0.332121 + 0.943237i \(0.607764\pi\)
\(648\) −816.551 + 3577.55i −0.0495018 + 0.216882i
\(649\) 2670.37 1285.98i 0.161512 0.0777801i
\(650\) 6363.09 27878.5i 0.383970 1.68228i
\(651\) 5546.32 657.245i 0.333913 0.0395691i
\(652\) 2686.79 + 11771.6i 0.161384 + 0.707071i
\(653\) 4061.31 + 5092.73i 0.243387 + 0.305197i 0.888488 0.458900i \(-0.151756\pi\)
−0.645101 + 0.764097i \(0.723185\pi\)
\(654\) −8884.26 + 4278.43i −0.531196 + 0.255810i
\(655\) −12844.2 −0.766207
\(656\) −37023.5 −2.20355
\(657\) −1.86009 + 0.895774i −0.000110455 + 5.31925e-5i
\(658\) −620.248 1740.39i −0.0367474 0.103112i
\(659\) −27315.7 13154.6i −1.61467 0.777586i −0.614736 0.788733i \(-0.710738\pi\)
−0.999938 + 0.0111465i \(0.996452\pi\)
\(660\) −9592.37 4619.44i −0.565731 0.272442i
\(661\) −450.379 1973.24i −0.0265018 0.116112i 0.959947 0.280182i \(-0.0903949\pi\)
−0.986449 + 0.164070i \(0.947538\pi\)
\(662\) −4774.07 20916.6i −0.280286 1.22801i
\(663\) −4387.34 2112.83i −0.256999 0.123764i
\(664\) 5181.27 + 2495.17i 0.302819 + 0.145830i
\(665\) −43721.6 + 5181.05i −2.54955 + 0.302124i
\(666\) −407.852 + 196.411i −0.0237296 + 0.0114276i
\(667\) −11326.9 −0.657540
\(668\) 5951.50 0.344716
\(669\) 11998.2 5778.04i 0.693390 0.333919i
\(670\) 27956.0 + 35055.7i 1.61199 + 2.02137i
\(671\) 2316.54 + 10149.4i 0.133277 + 0.583925i
\(672\) 17935.9 11414.3i 1.02960 0.655233i
\(673\) 3304.35 14477.3i 0.189262 0.829211i −0.787744 0.616002i \(-0.788751\pi\)
0.977007 0.213209i \(-0.0683916\pi\)
\(674\) −40874.4 + 19684.1i −2.33594 + 1.12493i
\(675\) 8253.84 36162.4i 0.470652 2.06206i
\(676\) −5288.99 6632.18i −0.300921 0.377343i
\(677\) 3928.23 + 17210.7i 0.223005 + 0.977047i 0.955202 + 0.295954i \(0.0956377\pi\)
−0.732198 + 0.681092i \(0.761505\pi\)
\(678\) 15461.9 19388.5i 0.875824 1.09825i
\(679\) −877.547 867.510i −0.0495982 0.0490309i
\(680\) −2335.32 2928.40i −0.131699 0.165145i
\(681\) 6291.04 7888.72i 0.353999 0.443901i
\(682\) 3658.81 + 1761.99i 0.205430 + 0.0989297i
\(683\) 11684.8 14652.3i 0.654622 0.820870i −0.338124 0.941102i \(-0.609792\pi\)
0.992746 + 0.120232i \(0.0383638\pi\)
\(684\) 547.446 2398.52i 0.0306025 0.134078i
\(685\) 41776.2 2.33020
\(686\) −13213.3 20244.9i −0.735404 1.12676i
\(687\) −7203.33 −0.400035
\(688\) −1367.27 + 5990.40i −0.0757655 + 0.331950i
\(689\) 7969.05 9992.88i 0.440634 0.552537i
\(690\) −12913.0 6218.57i −0.712448 0.343097i
\(691\) −13200.6 + 16553.0i −0.726736 + 0.911299i −0.998698 0.0510095i \(-0.983756\pi\)
0.271962 + 0.962308i \(0.412328\pi\)
\(692\) 9327.50 + 11696.3i 0.512396 + 0.642525i
\(693\) 706.227 + 698.150i 0.0387119 + 0.0382691i
\(694\) −5452.37 + 6837.06i −0.298227 + 0.373964i
\(695\) −4031.01 17661.0i −0.220007 0.963913i
\(696\) −5023.77 6299.61i −0.273600 0.343084i
\(697\) 3728.55 16335.8i 0.202624 0.887754i
\(698\) 8693.85 4186.74i 0.471443 0.227035i
\(699\) 4408.54 19315.1i 0.238550 1.04515i
\(700\) −25534.1 + 16249.7i −1.37871 + 0.877402i
\(701\) −2452.05 10743.1i −0.132115 0.578834i −0.997037 0.0769268i \(-0.975489\pi\)
0.864922 0.501907i \(-0.167368\pi\)
\(702\) 10408.0 + 13051.3i 0.559581 + 0.701693i
\(703\) 4232.73 2038.37i 0.227085 0.109358i
\(704\) 5240.37 0.280545
\(705\) −2488.54 −0.132942
\(706\) 22396.8 10785.7i 1.19393 0.574967i
\(707\) 1070.22 126.823i 0.0569305 0.00674633i
\(708\) −4892.72 2356.21i −0.259717 0.125073i
\(709\) −12162.4 5857.08i −0.644241 0.310250i 0.0830846 0.996542i \(-0.473523\pi\)
−0.727326 + 0.686292i \(0.759237\pi\)
\(710\) 5090.08 + 22301.1i 0.269053 + 1.17880i
\(711\) 35.1371 + 153.946i 0.00185337 + 0.00812013i
\(712\) −5281.51 2543.44i −0.277996 0.133876i
\(713\) 2204.78 + 1061.77i 0.115806 + 0.0557693i
\(714\) 3865.28 + 10845.8i 0.202597 + 0.568481i
\(715\) 9021.47 4344.51i 0.471866 0.227239i
\(716\) 21853.8 1.14067
\(717\) −6979.32 −0.363525
\(718\) −8736.01 + 4207.04i −0.454074 + 0.218670i
\(719\) −7157.84 8975.65i −0.371269 0.465557i 0.560740 0.827992i \(-0.310517\pi\)
−0.932009 + 0.362435i \(0.881945\pi\)
\(720\) 988.899 + 4332.65i 0.0511862 + 0.224261i
\(721\) 33458.8 3964.90i 1.72825 0.204800i
\(722\) −6883.64 + 30159.2i −0.354823 + 1.55458i
\(723\) −10614.7 + 5111.78i −0.546010 + 0.262945i
\(724\) −2720.06 + 11917.3i −0.139627 + 0.611747i
\(725\) 44873.5 + 56269.6i 2.29870 + 2.88248i
\(726\) 4271.51 + 18714.7i 0.218362 + 0.956706i
\(727\) 17247.8 21628.1i 0.879899 1.10336i −0.114046 0.993476i \(-0.536381\pi\)
0.993945 0.109883i \(-0.0350475\pi\)
\(728\) −338.586 + 3168.73i −0.0172374 + 0.161320i
\(729\) 13339.0 + 16726.5i 0.677690 + 0.849796i
\(730\) 30.6890 38.4828i 0.00155596 0.00195111i
\(731\) −2505.44 1206.56i −0.126768 0.0610480i
\(732\) 11892.6 14912.8i 0.600495 0.752997i
\(733\) 870.716 3814.86i 0.0438753 0.192230i −0.948241 0.317552i \(-0.897139\pi\)
0.992116 + 0.125322i \(0.0399963\pi\)
\(734\) 6788.15 0.341356
\(735\) −31659.9 + 7610.32i −1.58883 + 0.381920i
\(736\) 9315.04 0.466517
\(737\) −2335.53 + 10232.6i −0.116731 + 0.511430i
\(738\) −3688.08 + 4624.70i −0.183957 + 0.230674i
\(739\) −3769.87 1815.47i −0.187655 0.0903697i 0.337697 0.941255i \(-0.390352\pi\)
−0.525352 + 0.850885i \(0.676066\pi\)
\(740\) 3012.14 3777.10i 0.149633 0.187634i
\(741\) −11123.5 13948.4i −0.551459 0.691508i
\(742\) −30011.3 + 3556.37i −1.48484 + 0.175955i
\(743\) −2695.34 + 3379.85i −0.133085 + 0.166884i −0.843909 0.536487i \(-0.819751\pi\)
0.710823 + 0.703371i \(0.248323\pi\)
\(744\) 387.362 + 1697.14i 0.0190879 + 0.0836294i
\(745\) 15446.9 + 19369.8i 0.759639 + 0.952558i
\(746\) 570.549 2499.74i 0.0280017 0.122684i
\(747\) 2782.22 1339.85i 0.136273 0.0656257i
\(748\) −833.911 + 3653.60i −0.0407631 + 0.178595i
\(749\) 15633.2 25200.7i 0.762650 1.22939i
\(750\) 10215.5 + 44757.0i 0.497356 + 2.17906i
\(751\) −8987.98 11270.6i −0.436719 0.547628i 0.513956 0.857816i \(-0.328179\pi\)
−0.950675 + 0.310188i \(0.899608\pi\)
\(752\) 1743.80 839.769i 0.0845609 0.0407224i
\(753\) −5626.62 −0.272305
\(754\) −32390.3 −1.56444
\(755\) −45580.7 + 21950.5i −2.19715 + 1.05809i
\(756\) 1877.24 17568.5i 0.0903102 0.845186i
\(757\) −219.066 105.496i −0.0105179 0.00506517i 0.428617 0.903486i \(-0.359001\pi\)
−0.439135 + 0.898421i \(0.644715\pi\)
\(758\) −14009.7 6746.71i −0.671313 0.323287i
\(759\) −746.548 3270.84i −0.0357022 0.156422i
\(760\) −3053.57 13378.5i −0.145743 0.638541i
\(761\) 31423.6 + 15132.8i 1.49685 + 0.720846i 0.989984 0.141178i \(-0.0450890\pi\)
0.506868 + 0.862024i \(0.330803\pi\)
\(762\) −19074.8 9185.92i −0.906832 0.436707i
\(763\) −8281.08 + 5270.02i −0.392916 + 0.250049i
\(764\) 19629.0 9452.81i 0.929517 0.447632i
\(765\) −2011.28 −0.0950561
\(766\) −559.654 −0.0263983
\(767\) 4601.53 2215.98i 0.216625 0.104321i
\(768\) 15804.0 + 19817.6i 0.742549 + 0.931128i
\(769\) −3216.32 14091.6i −0.150824 0.660803i −0.992647 0.121048i \(-0.961374\pi\)
0.841823 0.539754i \(-0.181483\pi\)
\(770\) −22391.7 7690.95i &min