Properties

Label 49.4.e.a.8.3
Level $49$
Weight $4$
Character 49.8
Analytic conductor $2.891$
Analytic rank $0$
Dimension $78$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 8.3
Character \(\chi\) \(=\) 49.8
Dual form 49.4.e.a.43.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.45388 - 3.07706i) q^{2} +(2.79026 - 1.34372i) q^{3} +(-1.66664 + 7.30203i) q^{4} +(16.4856 - 7.93907i) q^{5} +(-10.9817 - 5.28849i) q^{6} +(-6.70370 - 17.2644i) q^{7} +(-1.80909 + 0.871210i) q^{8} +(-10.8543 + 13.6108i) q^{9} +O(q^{10})\) \(q+(-2.45388 - 3.07706i) q^{2} +(2.79026 - 1.34372i) q^{3} +(-1.66664 + 7.30203i) q^{4} +(16.4856 - 7.93907i) q^{5} +(-10.9817 - 5.28849i) q^{6} +(-6.70370 - 17.2644i) q^{7} +(-1.80909 + 0.871210i) q^{8} +(-10.8543 + 13.6108i) q^{9} +(-64.8827 - 31.2459i) q^{10} +(6.93723 + 8.69901i) q^{11} +(5.16151 + 22.6141i) q^{12} +(-20.0311 - 25.1182i) q^{13} +(-36.6737 + 62.9925i) q^{14} +(35.3314 - 44.3041i) q^{15} +(61.1048 + 29.4265i) q^{16} +(-15.1891 - 66.5479i) q^{17} +68.5163 q^{18} +113.492 q^{19} +(30.4957 + 133.610i) q^{20} +(-41.9036 - 39.1644i) q^{21} +(9.74430 - 42.6926i) q^{22} +(-33.6662 + 147.501i) q^{23} +(-3.87716 + 4.86181i) q^{24} +(130.811 - 164.032i) q^{25} +(-28.1364 + 123.274i) q^{26} +(-30.6038 + 134.084i) q^{27} +(137.238 - 20.1770i) q^{28} +(40.8875 + 179.140i) q^{29} -223.025 q^{30} +167.796 q^{31} +(-55.8218 - 244.571i) q^{32} +(31.0457 + 14.9508i) q^{33} +(-167.500 + 210.038i) q^{34} +(-247.578 - 231.394i) q^{35} +(-81.2964 - 101.942i) q^{36} +(-56.8583 - 249.112i) q^{37} +(-278.496 - 349.223i) q^{38} +(-89.6437 - 43.1701i) q^{39} +(-22.9074 + 28.7249i) q^{40} +(214.875 - 103.478i) q^{41} +(-17.6849 + 225.044i) q^{42} +(81.3480 + 39.1751i) q^{43} +(-75.0823 + 36.1577i) q^{44} +(-70.8822 + 310.555i) q^{45} +(536.484 - 258.357i) q^{46} +(220.566 + 276.581i) q^{47} +210.039 q^{48} +(-253.121 + 231.471i) q^{49} -825.732 q^{50} +(-131.803 - 165.276i) q^{51} +(216.798 - 104.405i) q^{52} +(-51.4561 + 225.444i) q^{53} +(487.683 - 234.856i) q^{54} +(183.427 + 88.3336i) q^{55} +(27.1685 + 25.3925i) q^{56} +(316.673 - 152.502i) q^{57} +(450.891 - 565.400i) q^{58} +(-215.108 - 103.590i) q^{59} +(264.625 + 331.830i) q^{60} +(-7.36738 - 32.2786i) q^{61} +(-411.750 - 516.318i) q^{62} +(307.746 + 96.1497i) q^{63} +(-277.295 + 347.717i) q^{64} +(-529.640 - 255.061i) q^{65} +(-30.1777 - 132.217i) q^{66} -505.936 q^{67} +511.249 q^{68} +(104.263 + 456.805i) q^{69} +(-104.488 + 1329.63i) q^{70} +(-152.017 + 666.031i) q^{71} +(7.77842 - 34.0795i) q^{72} +(366.125 - 459.106i) q^{73} +(-627.011 + 786.247i) q^{74} +(144.585 - 633.466i) q^{75} +(-189.151 + 828.725i) q^{76} +(103.678 - 178.083i) q^{77} +(87.1373 + 381.774i) q^{78} -50.1378 q^{79} +1240.97 q^{80} +(-9.81499 - 43.0023i) q^{81} +(-845.684 - 407.260i) q^{82} +(348.620 - 437.156i) q^{83} +(355.818 - 240.708i) q^{84} +(-778.730 - 976.497i) q^{85} +(-79.0735 - 346.444i) q^{86} +(354.800 + 444.905i) q^{87} +(-20.1287 - 9.69348i) q^{88} +(-730.109 + 915.527i) q^{89} +(1129.53 - 543.955i) q^{90} +(-299.369 + 514.210i) q^{91} +(-1020.95 - 491.664i) q^{92} +(468.194 - 225.470i) q^{93} +(309.816 - 1357.39i) q^{94} +(1870.99 - 901.023i) q^{95} +(-484.393 - 607.409i) q^{96} +5.56045 q^{97} +(1333.38 + 210.867i) q^{98} -193.699 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 78 q - 5 q^{2} - 5 q^{3} - 53 q^{4} - 23 q^{5} + 19 q^{6} - 31 q^{8} - 174 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 78 q - 5 q^{2} - 5 q^{3} - 53 q^{4} - 23 q^{5} + 19 q^{6} - 31 q^{8} - 174 q^{9} + 9 q^{10} - 103 q^{11} + 364 q^{12} - 35 q^{13} + 161 q^{14} - 245 q^{15} - 205 q^{16} - 285 q^{17} + 16 q^{18} + 628 q^{19} + 553 q^{20} - 21 q^{21} - 605 q^{22} + 149 q^{23} + 653 q^{24} - 370 q^{25} - 511 q^{26} - 65 q^{27} + 70 q^{28} - 187 q^{29} + 84 q^{30} + 1276 q^{31} + 1399 q^{32} - 23 q^{33} - 765 q^{34} - 805 q^{35} - 1691 q^{36} - 1531 q^{37} - 1041 q^{38} - 1351 q^{39} - 1759 q^{40} - 301 q^{41} + 3395 q^{42} - 257 q^{43} - 883 q^{44} + 3105 q^{45} + 1593 q^{46} + 733 q^{47} - 1948 q^{48} + 1288 q^{49} + 6148 q^{50} + 1197 q^{51} - 1099 q^{52} - 285 q^{53} + 660 q^{54} + 2641 q^{55} - 1988 q^{56} - 2352 q^{57} + 1173 q^{58} - 3603 q^{59} - 175 q^{60} - 2613 q^{61} - 1927 q^{62} - 3066 q^{63} + 1589 q^{64} - 371 q^{65} - 2175 q^{66} + 352 q^{67} + 6076 q^{68} + 5549 q^{69} - 6293 q^{70} - 2623 q^{71} + 6220 q^{72} + 2039 q^{73} - 2411 q^{74} - 3903 q^{75} + 4130 q^{76} + 1029 q^{77} - 3759 q^{78} + 44 q^{79} - 1608 q^{80} + 1394 q^{81} - 10920 q^{82} - 553 q^{83} - 7798 q^{84} + 497 q^{85} - 2985 q^{86} - 4273 q^{87} - 2197 q^{88} - 3957 q^{89} - 2958 q^{90} + 14119 q^{91} - 9136 q^{92} + 6272 q^{93} + 14912 q^{94} + 5866 q^{95} + 21882 q^{96} - 1540 q^{97} - 2303 q^{98} + 10768 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.45388 3.07706i −0.867576 1.08791i −0.995371 0.0961052i \(-0.969361\pi\)
0.127795 0.991801i \(-0.459210\pi\)
\(3\) 2.79026 1.34372i 0.536986 0.258599i −0.145677 0.989332i \(-0.546536\pi\)
0.682663 + 0.730733i \(0.260822\pi\)
\(4\) −1.66664 + 7.30203i −0.208330 + 0.912754i
\(5\) 16.4856 7.93907i 1.47452 0.710092i 0.487866 0.872919i \(-0.337776\pi\)
0.986655 + 0.162827i \(0.0520612\pi\)
\(6\) −10.9817 5.28849i −0.747207 0.359836i
\(7\) −6.70370 17.2644i −0.361966 0.932191i
\(8\) −1.80909 + 0.871210i −0.0799511 + 0.0385024i
\(9\) −10.8543 + 13.6108i −0.402009 + 0.504104i
\(10\) −64.8827 31.2459i −2.05177 0.988081i
\(11\) 6.93723 + 8.69901i 0.190150 + 0.238441i 0.867763 0.496978i \(-0.165557\pi\)
−0.677613 + 0.735419i \(0.736986\pi\)
\(12\) 5.16151 + 22.6141i 0.124167 + 0.544010i
\(13\) −20.0311 25.1182i −0.427356 0.535887i 0.520806 0.853675i \(-0.325631\pi\)
−0.948162 + 0.317788i \(0.897060\pi\)
\(14\) −36.6737 + 62.9925i −0.700104 + 1.20253i
\(15\) 35.3314 44.3041i 0.608168 0.762618i
\(16\) 61.1048 + 29.4265i 0.954762 + 0.459789i
\(17\) −15.1891 66.5479i −0.216700 0.949425i −0.959897 0.280353i \(-0.909549\pi\)
0.743197 0.669073i \(-0.233309\pi\)
\(18\) 68.5163 0.897191
\(19\) 113.492 1.37036 0.685182 0.728372i \(-0.259722\pi\)
0.685182 + 0.728372i \(0.259722\pi\)
\(20\) 30.4957 + 133.610i 0.340952 + 1.49381i
\(21\) −41.9036 39.1644i −0.435434 0.406970i
\(22\) 9.74430 42.6926i 0.0944314 0.413731i
\(23\) −33.6662 + 147.501i −0.305213 + 1.33722i 0.556930 + 0.830559i \(0.311979\pi\)
−0.862143 + 0.506665i \(0.830878\pi\)
\(24\) −3.87716 + 4.86181i −0.0329759 + 0.0413505i
\(25\) 130.811 164.032i 1.04649 1.31226i
\(26\) −28.1364 + 123.274i −0.212231 + 0.929846i
\(27\) −30.6038 + 134.084i −0.218137 + 0.955722i
\(28\) 137.238 20.1770i 0.926270 0.136182i
\(29\) 40.8875 + 179.140i 0.261814 + 1.14708i 0.919282 + 0.393600i \(0.128771\pi\)
−0.657467 + 0.753483i \(0.728372\pi\)
\(30\) −223.025 −1.35729
\(31\) 167.796 0.972162 0.486081 0.873914i \(-0.338426\pi\)
0.486081 + 0.873914i \(0.338426\pi\)
\(32\) −55.8218 244.571i −0.308375 1.35108i
\(33\) 31.0457 + 14.9508i 0.163768 + 0.0788667i
\(34\) −167.500 + 210.038i −0.844881 + 1.05945i
\(35\) −247.578 231.394i −1.19567 1.11751i
\(36\) −81.2964 101.942i −0.376372 0.471956i
\(37\) −56.8583 249.112i −0.252634 1.10686i −0.928937 0.370237i \(-0.879276\pi\)
0.676304 0.736623i \(-0.263581\pi\)
\(38\) −278.496 349.223i −1.18890 1.49083i
\(39\) −89.6437 43.1701i −0.368064 0.177250i
\(40\) −22.9074 + 28.7249i −0.0905493 + 0.113545i
\(41\) 214.875 103.478i 0.818482 0.394160i 0.0226994 0.999742i \(-0.492774\pi\)
0.795783 + 0.605582i \(0.207060\pi\)
\(42\) −17.6849 + 225.044i −0.0649725 + 0.826788i
\(43\) 81.3480 + 39.1751i 0.288499 + 0.138934i 0.572536 0.819880i \(-0.305960\pi\)
−0.284037 + 0.958813i \(0.591674\pi\)
\(44\) −75.0823 + 36.1577i −0.257252 + 0.123886i
\(45\) −70.8822 + 310.555i −0.234811 + 1.02877i
\(46\) 536.484 258.357i 1.71957 0.828101i
\(47\) 220.566 + 276.581i 0.684529 + 0.858373i 0.995763 0.0919610i \(-0.0293135\pi\)
−0.311233 + 0.950334i \(0.600742\pi\)
\(48\) 210.039 0.631595
\(49\) −253.121 + 231.471i −0.737961 + 0.674843i
\(50\) −825.732 −2.33552
\(51\) −131.803 165.276i −0.361885 0.453790i
\(52\) 216.798 104.405i 0.578164 0.278429i
\(53\) −51.4561 + 225.444i −0.133359 + 0.584285i 0.863448 + 0.504438i \(0.168300\pi\)
−0.996807 + 0.0798470i \(0.974557\pi\)
\(54\) 487.683 234.856i 1.22899 0.591848i
\(55\) 183.427 + 88.3336i 0.449695 + 0.216562i
\(56\) 27.1685 + 25.3925i 0.0648312 + 0.0605932i
\(57\) 316.673 152.502i 0.735866 0.354375i
\(58\) 450.891 565.400i 1.02077 1.28001i
\(59\) −215.108 103.590i −0.474655 0.228582i 0.181233 0.983440i \(-0.441991\pi\)
−0.655888 + 0.754858i \(0.727706\pi\)
\(60\) 264.625 + 331.830i 0.569383 + 0.713984i
\(61\) −7.36738 32.2786i −0.0154639 0.0677516i 0.966607 0.256262i \(-0.0824911\pi\)
−0.982071 + 0.188511i \(0.939634\pi\)
\(62\) −411.750 516.318i −0.843425 1.05762i
\(63\) 307.746 + 96.1497i 0.615435 + 0.192281i
\(64\) −277.295 + 347.717i −0.541592 + 0.679135i
\(65\) −529.640 255.061i −1.01067 0.486715i
\(66\) −30.1777 132.217i −0.0562820 0.246588i
\(67\) −505.936 −0.922537 −0.461268 0.887261i \(-0.652605\pi\)
−0.461268 + 0.887261i \(0.652605\pi\)
\(68\) 511.249 0.911737
\(69\) 104.263 + 456.805i 0.181910 + 0.796998i
\(70\) −104.488 + 1329.63i −0.178409 + 2.27029i
\(71\) −152.017 + 666.031i −0.254100 + 1.11329i 0.673345 + 0.739328i \(0.264857\pi\)
−0.927446 + 0.373958i \(0.878000\pi\)
\(72\) 7.77842 34.0795i 0.0127319 0.0557820i
\(73\) 366.125 459.106i 0.587009 0.736086i −0.396282 0.918129i \(-0.629700\pi\)
0.983291 + 0.182043i \(0.0582710\pi\)
\(74\) −627.011 + 786.247i −0.984981 + 1.23513i
\(75\) 144.585 633.466i 0.222602 0.975285i
\(76\) −189.151 + 828.725i −0.285488 + 1.25081i
\(77\) 103.678 178.083i 0.153445 0.263564i
\(78\) 87.1373 + 381.774i 0.126492 + 0.554197i
\(79\) −50.1378 −0.0714043 −0.0357022 0.999362i \(-0.511367\pi\)
−0.0357022 + 0.999362i \(0.511367\pi\)
\(80\) 1240.97 1.73431
\(81\) −9.81499 43.0023i −0.0134636 0.0589881i
\(82\) −845.684 407.260i −1.13890 0.548468i
\(83\) 348.620 437.156i 0.461037 0.578122i −0.495914 0.868372i \(-0.665167\pi\)
0.956951 + 0.290250i \(0.0937383\pi\)
\(84\) 355.818 240.708i 0.462177 0.312660i
\(85\) −778.730 976.497i −0.993708 1.24607i
\(86\) −79.0735 346.444i −0.0991479 0.434395i
\(87\) 354.800 + 444.905i 0.437225 + 0.548263i
\(88\) −20.1287 9.69348i −0.0243833 0.0117424i
\(89\) −730.109 + 915.527i −0.869566 + 1.09040i 0.125589 + 0.992082i \(0.459918\pi\)
−0.995155 + 0.0983186i \(0.968654\pi\)
\(90\) 1129.53 543.955i 1.32293 0.637088i
\(91\) −299.369 + 514.210i −0.344861 + 0.592350i
\(92\) −1020.95 491.664i −1.15697 0.557168i
\(93\) 468.194 225.470i 0.522037 0.251400i
\(94\) 309.816 1357.39i 0.339947 1.48941i
\(95\) 1870.99 901.023i 2.02063 0.973085i
\(96\) −484.393 607.409i −0.514980 0.645765i
\(97\) 5.56045 0.00582039 0.00291019 0.999996i \(-0.499074\pi\)
0.00291019 + 0.999996i \(0.499074\pi\)
\(98\) 1333.38 + 210.867i 1.37440 + 0.217355i
\(99\) −193.699 −0.196641
\(100\) 979.753 + 1228.57i 0.979753 + 1.22857i
\(101\) −1405.71 + 676.954i −1.38488 + 0.666925i −0.970035 0.242966i \(-0.921880\pi\)
−0.414849 + 0.909890i \(0.636165\pi\)
\(102\) −185.136 + 811.133i −0.179717 + 0.787394i
\(103\) −863.327 + 415.757i −0.825885 + 0.397725i −0.798570 0.601901i \(-0.794410\pi\)
−0.0273149 + 0.999627i \(0.508696\pi\)
\(104\) 58.1212 + 27.9897i 0.0548005 + 0.0263905i
\(105\) −1001.74 312.974i −0.931042 0.290887i
\(106\) 819.972 394.878i 0.751346 0.361829i
\(107\) −995.533 + 1248.36i −0.899456 + 1.12788i 0.0917795 + 0.995779i \(0.470744\pi\)
−0.991236 + 0.132103i \(0.957827\pi\)
\(108\) −928.080 446.940i −0.826894 0.398211i
\(109\) −862.847 1081.98i −0.758218 0.950775i 0.241590 0.970378i \(-0.422331\pi\)
−0.999808 + 0.0196031i \(0.993760\pi\)
\(110\) −178.298 781.175i −0.154546 0.677110i
\(111\) −493.386 618.687i −0.421893 0.529038i
\(112\) 98.4036 1252.21i 0.0830202 1.05645i
\(113\) 1313.76 1647.40i 1.09370 1.37146i 0.171301 0.985219i \(-0.445203\pi\)
0.922399 0.386238i \(-0.126226\pi\)
\(114\) −1246.33 600.203i −1.02395 0.493107i
\(115\) 616.014 + 2698.93i 0.499509 + 2.18849i
\(116\) −1376.23 −1.10155
\(117\) 559.301 0.441944
\(118\) 209.093 + 916.098i 0.163124 + 0.714692i
\(119\) −1047.09 + 708.348i −0.806608 + 0.545666i
\(120\) −25.3193 + 110.931i −0.0192610 + 0.0843881i
\(121\) 268.628 1176.94i 0.201824 0.884249i
\(122\) −81.2446 + 101.877i −0.0602913 + 0.0756029i
\(123\) 460.511 577.462i 0.337584 0.423317i
\(124\) −279.655 + 1225.25i −0.202531 + 0.887345i
\(125\) 345.294 1512.83i 0.247072 1.08249i
\(126\) −459.313 1182.89i −0.324753 0.836354i
\(127\) 456.555 + 2000.30i 0.318997 + 1.39762i 0.839315 + 0.543646i \(0.182957\pi\)
−0.520317 + 0.853973i \(0.674186\pi\)
\(128\) −256.493 −0.177117
\(129\) 279.622 0.190848
\(130\) 514.832 + 2255.63i 0.347336 + 1.52178i
\(131\) −142.775 68.7569i −0.0952239 0.0458574i 0.385666 0.922639i \(-0.373972\pi\)
−0.480889 + 0.876781i \(0.659686\pi\)
\(132\) −160.913 + 201.779i −0.106104 + 0.133050i
\(133\) −760.819 1959.38i −0.496025 1.27744i
\(134\) 1241.50 + 1556.80i 0.800371 + 1.00363i
\(135\) 559.979 + 2453.43i 0.357002 + 1.56413i
\(136\) 85.4556 + 107.158i 0.0538806 + 0.0675641i
\(137\) 63.9127 + 30.7787i 0.0398572 + 0.0191942i 0.453706 0.891151i \(-0.350102\pi\)
−0.413849 + 0.910346i \(0.635816\pi\)
\(138\) 1149.77 1441.77i 0.709239 0.889357i
\(139\) −1238.41 + 596.389i −0.755690 + 0.363921i −0.771730 0.635950i \(-0.780608\pi\)
0.0160398 + 0.999871i \(0.494894\pi\)
\(140\) 2102.27 1422.17i 1.26910 0.858540i
\(141\) 987.084 + 475.355i 0.589557 + 0.283915i
\(142\) 2422.45 1166.59i 1.43160 0.689423i
\(143\) 79.5431 348.501i 0.0465156 0.203798i
\(144\) −1063.76 + 512.282i −0.615605 + 0.296460i
\(145\) 2096.26 + 2628.62i 1.20058 + 1.50549i
\(146\) −2311.12 −1.31007
\(147\) −395.241 + 985.988i −0.221761 + 0.553217i
\(148\) 1913.79 1.06292
\(149\) 217.825 + 273.144i 0.119764 + 0.150180i 0.838099 0.545518i \(-0.183667\pi\)
−0.718335 + 0.695697i \(0.755095\pi\)
\(150\) −2304.01 + 1109.55i −1.25414 + 0.603963i
\(151\) 369.528 1619.01i 0.199151 0.872536i −0.772293 0.635267i \(-0.780890\pi\)
0.971444 0.237270i \(-0.0762526\pi\)
\(152\) −205.318 + 98.8757i −0.109562 + 0.0527624i
\(153\) 1070.64 + 515.591i 0.565724 + 0.272438i
\(154\) −802.385 + 117.968i −0.419857 + 0.0617284i
\(155\) 2766.22 1332.14i 1.43347 0.690324i
\(156\) 464.634 582.632i 0.238465 0.299025i
\(157\) −2771.54 1334.71i −1.40887 0.678478i −0.433934 0.900944i \(-0.642875\pi\)
−0.974940 + 0.222466i \(0.928589\pi\)
\(158\) 123.032 + 154.277i 0.0619487 + 0.0776812i
\(159\) 159.357 + 698.190i 0.0794834 + 0.348239i
\(160\) −2861.93 3588.74i −1.41410 1.77322i
\(161\) 2772.21 407.577i 1.35703 0.199513i
\(162\) −108.236 + 135.724i −0.0524927 + 0.0658238i
\(163\) 2497.85 + 1202.90i 1.20028 + 0.578027i 0.923757 0.382979i \(-0.125102\pi\)
0.276528 + 0.961006i \(0.410816\pi\)
\(164\) 397.482 + 1741.48i 0.189257 + 0.829188i
\(165\) 630.503 0.297483
\(166\) −2200.63 −1.02893
\(167\) 132.019 + 578.411i 0.0611731 + 0.268017i 0.996260 0.0864003i \(-0.0275364\pi\)
−0.935087 + 0.354417i \(0.884679\pi\)
\(168\) 109.928 + 34.3449i 0.0504828 + 0.0157724i
\(169\) 259.199 1135.63i 0.117979 0.516899i
\(170\) −1093.83 + 4792.40i −0.493490 + 2.16212i
\(171\) −1231.87 + 1544.72i −0.550899 + 0.690806i
\(172\) −421.636 + 528.715i −0.186915 + 0.234384i
\(173\) 361.048 1581.85i 0.158670 0.695180i −0.831525 0.555488i \(-0.812532\pi\)
0.990195 0.139692i \(-0.0446113\pi\)
\(174\) 498.366 2183.48i 0.217132 0.951319i
\(175\) −3708.84 1158.76i −1.60207 0.500537i
\(176\) 167.916 + 735.689i 0.0719157 + 0.315083i
\(177\) −739.403 −0.313994
\(178\) 4608.73 1.94067
\(179\) −450.708 1974.68i −0.188198 0.824551i −0.977566 0.210630i \(-0.932449\pi\)
0.789368 0.613921i \(-0.210409\pi\)
\(180\) −2149.55 1035.17i −0.890100 0.428650i
\(181\) −1724.53 + 2162.50i −0.708197 + 0.888050i −0.997606 0.0691550i \(-0.977970\pi\)
0.289409 + 0.957205i \(0.406541\pi\)
\(182\) 2316.87 340.631i 0.943615 0.138732i
\(183\) −63.9302 80.1660i −0.0258244 0.0323827i
\(184\) −67.5996 296.173i −0.0270843 0.118664i
\(185\) −2915.07 3655.38i −1.15849 1.45270i
\(186\) −1842.68 887.386i −0.726406 0.349819i
\(187\) 473.530 593.788i 0.185176 0.232204i
\(188\) −2387.21 + 1149.62i −0.926091 + 0.445982i
\(189\) 2520.04 370.502i 0.969874 0.142593i
\(190\) −7363.69 3546.17i −2.81168 1.35403i
\(191\) −879.733 + 423.657i −0.333274 + 0.160496i −0.593035 0.805177i \(-0.702070\pi\)
0.259761 + 0.965673i \(0.416356\pi\)
\(192\) −306.492 + 1342.83i −0.115204 + 0.504741i
\(193\) −4125.10 + 1986.54i −1.53850 + 0.740904i −0.995129 0.0985863i \(-0.968568\pi\)
−0.543375 + 0.839490i \(0.682854\pi\)
\(194\) −13.6446 17.1098i −0.00504963 0.00633204i
\(195\) −1820.57 −0.668581
\(196\) −1268.35 2234.07i −0.462226 0.814167i
\(197\) 1085.93 0.392737 0.196369 0.980530i \(-0.437085\pi\)
0.196369 + 0.980530i \(0.437085\pi\)
\(198\) 475.313 + 596.023i 0.170601 + 0.213927i
\(199\) 2398.39 1155.00i 0.854359 0.411437i 0.0451651 0.998980i \(-0.485619\pi\)
0.809194 + 0.587542i \(0.199904\pi\)
\(200\) −93.7425 + 410.713i −0.0331430 + 0.145209i
\(201\) −1411.69 + 679.836i −0.495389 + 0.238567i
\(202\) 5532.46 + 2664.29i 1.92704 + 0.928015i
\(203\) 2818.65 1906.80i 0.974533 0.659266i
\(204\) 1426.52 686.975i 0.489590 0.235774i
\(205\) 2720.83 3411.81i 0.926979 1.16239i
\(206\) 3397.81 + 1636.30i 1.14921 + 0.553428i
\(207\) −1642.19 2059.24i −0.551401 0.691436i
\(208\) −484.855 2124.29i −0.161628 0.708138i
\(209\) 787.322 + 987.271i 0.260575 + 0.326751i
\(210\) 1495.09 + 3850.40i 0.491292 + 1.26525i
\(211\) 2081.37 2609.96i 0.679088 0.851549i −0.316182 0.948699i \(-0.602401\pi\)
0.995270 + 0.0971494i \(0.0309725\pi\)
\(212\) −1560.44 751.468i −0.505526 0.243448i
\(213\) 470.790 + 2062.67i 0.151446 + 0.663529i
\(214\) 6284.19 2.00738
\(215\) 1652.09 0.524053
\(216\) −61.4505 269.232i −0.0193573 0.0848098i
\(217\) −1124.85 2896.90i −0.351890 0.906241i
\(218\) −1211.99 + 5310.07i −0.376542 + 1.64974i
\(219\) 404.674 1772.99i 0.124865 0.547068i
\(220\) −950.721 + 1192.17i −0.291353 + 0.365345i
\(221\) −1367.31 + 1714.55i −0.416177 + 0.521869i
\(222\) −693.030 + 3036.36i −0.209519 + 0.917961i
\(223\) 60.7385 266.113i 0.0182392 0.0799113i −0.964989 0.262290i \(-0.915522\pi\)
0.983228 + 0.182378i \(0.0583796\pi\)
\(224\) −3848.17 + 2603.27i −1.14784 + 0.776509i
\(225\) 812.751 + 3560.89i 0.240815 + 1.05508i
\(226\) −8292.96 −2.44088
\(227\) 3637.99 1.06371 0.531855 0.846836i \(-0.321495\pi\)
0.531855 + 0.846836i \(0.321495\pi\)
\(228\) 585.792 + 2566.52i 0.170154 + 0.745492i
\(229\) 769.269 + 370.461i 0.221986 + 0.106903i 0.541572 0.840655i \(-0.317829\pi\)
−0.319586 + 0.947557i \(0.603544\pi\)
\(230\) 6793.16 8518.36i 1.94751 2.44210i
\(231\) 49.9962 636.212i 0.0142403 0.181211i
\(232\) −230.037 288.458i −0.0650978 0.0816301i
\(233\) 1386.99 + 6076.81i 0.389978 + 1.70861i 0.664725 + 0.747088i \(0.268549\pi\)
−0.274747 + 0.961517i \(0.588594\pi\)
\(234\) −1372.46 1721.00i −0.383420 0.480793i
\(235\) 5831.97 + 2808.53i 1.61888 + 0.779609i
\(236\) 1114.93 1398.08i 0.307524 0.385623i
\(237\) −139.897 + 67.3711i −0.0383431 + 0.0184651i
\(238\) 4749.05 + 1483.75i 1.29343 + 0.404107i
\(239\) −3939.73 1897.27i −1.06628 0.513492i −0.183371 0.983044i \(-0.558701\pi\)
−0.882905 + 0.469552i \(0.844415\pi\)
\(240\) 3462.63 1667.51i 0.931299 0.448490i
\(241\) −83.4356 + 365.555i −0.0223011 + 0.0977074i −0.984854 0.173388i \(-0.944529\pi\)
0.962553 + 0.271095i \(0.0873858\pi\)
\(242\) −4280.68 + 2061.47i −1.13708 + 0.547587i
\(243\) −2400.42 3010.03i −0.633691 0.794623i
\(244\) 247.978 0.0650621
\(245\) −2335.19 + 5825.49i −0.608939 + 1.51909i
\(246\) −2906.92 −0.753409
\(247\) −2273.38 2850.72i −0.585633 0.734361i
\(248\) −303.557 + 146.186i −0.0777254 + 0.0374306i
\(249\) 385.327 1688.23i 0.0980687 0.429667i
\(250\) −5502.38 + 2649.81i −1.39201 + 0.670354i
\(251\) 4664.41 + 2246.26i 1.17297 + 0.564872i 0.915855 0.401509i \(-0.131514\pi\)
0.257114 + 0.966381i \(0.417228\pi\)
\(252\) −1214.99 + 2086.93i −0.303719 + 0.521683i
\(253\) −1516.67 + 730.388i −0.376885 + 0.181498i
\(254\) 5034.71 6313.32i 1.24372 1.55958i
\(255\) −3485.00 1678.29i −0.855839 0.412150i
\(256\) 2847.76 + 3570.98i 0.695255 + 0.871822i
\(257\) −574.002 2514.87i −0.139320 0.610401i −0.995585 0.0938643i \(-0.970078\pi\)
0.856265 0.516537i \(-0.172779\pi\)
\(258\) −686.159 860.416i −0.165575 0.207625i
\(259\) −3919.62 + 2651.60i −0.940361 + 0.636149i
\(260\) 2745.19 3442.35i 0.654805 0.821099i
\(261\) −2882.04 1387.92i −0.683501 0.329157i
\(262\) 138.783 + 608.049i 0.0327254 + 0.143379i
\(263\) −3988.24 −0.935078 −0.467539 0.883973i \(-0.654859\pi\)
−0.467539 + 0.883973i \(0.654859\pi\)
\(264\) −69.1897 −0.0161300
\(265\) 941.527 + 4125.10i 0.218255 + 0.956238i
\(266\) −4162.18 + 7149.16i −0.959397 + 1.64791i
\(267\) −806.982 + 3535.62i −0.184968 + 0.810398i
\(268\) 843.214 3694.36i 0.192192 0.842049i
\(269\) 1962.01 2460.28i 0.444706 0.557643i −0.508071 0.861315i \(-0.669641\pi\)
0.952777 + 0.303672i \(0.0982127\pi\)
\(270\) 6175.23 7743.49i 1.39190 1.74539i
\(271\) −470.843 + 2062.90i −0.105541 + 0.462406i 0.894346 + 0.447376i \(0.147641\pi\)
−0.999887 + 0.0150299i \(0.995216\pi\)
\(272\) 1030.14 4513.36i 0.229638 1.00611i
\(273\) −144.363 + 1837.05i −0.0320046 + 0.407264i
\(274\) −62.1257 272.191i −0.0136976 0.0600133i
\(275\) 2334.39 0.511886
\(276\) −3509.37 −0.765360
\(277\) 706.729 + 3096.38i 0.153297 + 0.671637i 0.991914 + 0.126915i \(0.0405077\pi\)
−0.838617 + 0.544722i \(0.816635\pi\)
\(278\) 4874.04 + 2347.21i 1.05153 + 0.506391i
\(279\) −1821.30 + 2283.84i −0.390818 + 0.490071i
\(280\) 649.483 + 202.919i 0.138622 + 0.0433098i
\(281\) 946.925 + 1187.41i 0.201028 + 0.252081i 0.872119 0.489294i \(-0.162745\pi\)
−0.671091 + 0.741375i \(0.734174\pi\)
\(282\) −959.485 4203.78i −0.202612 0.887700i
\(283\) 947.021 + 1187.53i 0.198921 + 0.249439i 0.871280 0.490786i \(-0.163290\pi\)
−0.672359 + 0.740225i \(0.734719\pi\)
\(284\) −4610.02 2220.07i −0.963219 0.463862i
\(285\) 4009.84 5028.18i 0.833412 1.04507i
\(286\) −1267.55 + 610.419i −0.262069 + 0.126206i
\(287\) −3226.95 3016.00i −0.663696 0.620310i
\(288\) 3934.72 + 1894.86i 0.805054 + 0.387693i
\(289\) 228.550 110.064i 0.0465194 0.0224026i
\(290\) 2944.49 12900.6i 0.596228 2.61225i
\(291\) 15.5151 7.47167i 0.00312547 0.00150515i
\(292\) 2742.21 + 3438.62i 0.549574 + 0.689144i
\(293\) −6408.29 −1.27774 −0.638868 0.769317i \(-0.720597\pi\)
−0.638868 + 0.769317i \(0.720597\pi\)
\(294\) 4003.82 1203.31i 0.794243 0.238702i
\(295\) −4368.60 −0.862202
\(296\) 319.891 + 401.131i 0.0628152 + 0.0787677i
\(297\) −1378.70 + 663.949i −0.269362 + 0.129718i
\(298\) 305.965 1340.52i 0.0594768 0.260585i
\(299\) 4379.34 2108.98i 0.847036 0.407911i
\(300\) 4384.62 + 2111.52i 0.843820 + 0.406362i
\(301\) 131.003 1667.04i 0.0250861 0.319225i
\(302\) −5888.56 + 2835.78i −1.12202 + 0.540334i
\(303\) −3012.66 + 3777.75i −0.571197 + 0.716258i
\(304\) 6934.92 + 3339.68i 1.30837 + 0.630079i
\(305\) −377.718 473.643i −0.0709116 0.0889204i
\(306\) −1040.70 4559.61i −0.194421 0.851816i
\(307\) −2896.22 3631.75i −0.538424 0.675163i 0.435982 0.899955i \(-0.356401\pi\)
−0.974407 + 0.224793i \(0.927830\pi\)
\(308\) 1127.57 + 1053.86i 0.208602 + 0.194965i
\(309\) −1850.25 + 2320.14i −0.340637 + 0.427146i
\(310\) −10887.1 5242.93i −1.99465 0.960575i
\(311\) 184.604 + 808.804i 0.0336590 + 0.147470i 0.988965 0.148149i \(-0.0473314\pi\)
−0.955306 + 0.295618i \(0.904474\pi\)
\(312\) 199.784 0.0362517
\(313\) 7156.11 1.29229 0.646146 0.763214i \(-0.276380\pi\)
0.646146 + 0.763214i \(0.276380\pi\)
\(314\) 2694.05 + 11803.4i 0.484185 + 2.12135i
\(315\) 5836.73 858.130i 1.04401 0.153492i
\(316\) 83.5617 366.108i 0.0148757 0.0651746i
\(317\) −693.068 + 3036.53i −0.122797 + 0.538008i 0.875683 + 0.482887i \(0.160412\pi\)
−0.998480 + 0.0551214i \(0.982445\pi\)
\(318\) 1757.33 2203.62i 0.309894 0.388594i
\(319\) −1274.69 + 1598.41i −0.223727 + 0.280545i
\(320\) −1810.84 + 7933.81i −0.316341 + 1.38598i
\(321\) −1100.35 + 4820.96i −0.191326 + 0.838255i
\(322\) −8056.81 7530.13i −1.39437 1.30322i
\(323\) −1723.85 7552.67i −0.296958 1.30106i
\(324\) 330.362 0.0566465
\(325\) −6740.49 −1.15045
\(326\) −2428.01 10637.8i −0.412500 1.80728i
\(327\) −3861.44 1859.57i −0.653022 0.314479i
\(328\) −298.576 + 374.402i −0.0502624 + 0.0630271i
\(329\) 3296.41 5662.06i 0.552391 0.948814i
\(330\) −1547.18 1940.10i −0.258089 0.323633i
\(331\) 1863.06 + 8162.59i 0.309374 + 1.35546i 0.855521 + 0.517768i \(0.173237\pi\)
−0.546146 + 0.837690i \(0.683906\pi\)
\(332\) 2611.10 + 3274.22i 0.431635 + 0.541253i
\(333\) 4007.77 + 1930.04i 0.659534 + 0.317615i
\(334\) 1455.85 1825.58i 0.238505 0.299076i
\(335\) −8340.68 + 4016.66i −1.36030 + 0.655086i
\(336\) −1408.04 3626.21i −0.228616 0.588767i
\(337\) −4281.88 2062.04i −0.692133 0.333314i 0.0545339 0.998512i \(-0.482633\pi\)
−0.746667 + 0.665198i \(0.768347\pi\)
\(338\) −4130.44 + 1989.11i −0.664693 + 0.320099i
\(339\) 1452.09 6362.01i 0.232645 1.01928i
\(340\) 8428.27 4058.84i 1.34437 0.647417i
\(341\) 1164.04 + 1459.66i 0.184857 + 0.231803i
\(342\) 7776.07 1.22948
\(343\) 5693.06 + 2818.27i 0.896200 + 0.443651i
\(344\) −181.295 −0.0284151
\(345\) 5345.44 + 6702.98i 0.834171 + 1.04602i
\(346\) −5753.43 + 2770.71i −0.893949 + 0.430503i
\(347\) 1313.57 5755.13i 0.203217 0.890351i −0.765746 0.643143i \(-0.777630\pi\)
0.968963 0.247207i \(-0.0795129\pi\)
\(348\) −3840.04 + 1849.26i −0.591516 + 0.284859i
\(349\) −402.624 193.894i −0.0617535 0.0297389i 0.402752 0.915309i \(-0.368054\pi\)
−0.464506 + 0.885570i \(0.653768\pi\)
\(350\) 5535.46 + 14255.8i 0.845380 + 2.17715i
\(351\) 3980.98 1917.14i 0.605381 0.291536i
\(352\) 1740.28 2182.24i 0.263515 0.330437i
\(353\) −6920.77 3332.86i −1.04350 0.502523i −0.168022 0.985783i \(-0.553738\pi\)
−0.875477 + 0.483261i \(0.839452\pi\)
\(354\) 1814.40 + 2275.19i 0.272414 + 0.341596i
\(355\) 2781.56 + 12186.8i 0.415859 + 1.82200i
\(356\) −5468.38 6857.13i −0.814111 1.02086i
\(357\) −1969.83 + 3383.47i −0.292029 + 0.501602i
\(358\) −4970.23 + 6232.48i −0.733757 + 0.920102i
\(359\) −8474.58 4081.14i −1.24588 0.599984i −0.309476 0.950907i \(-0.600154\pi\)
−0.936404 + 0.350923i \(0.885868\pi\)
\(360\) −142.327 623.575i −0.0208369 0.0912925i
\(361\) 6021.51 0.877900
\(362\) 10885.9 1.58053
\(363\) −831.928 3644.92i −0.120289 0.527020i
\(364\) −3255.84 3043.00i −0.468825 0.438178i
\(365\) 2390.93 10475.3i 0.342868 1.50220i
\(366\) −89.7989 + 393.435i −0.0128248 + 0.0561889i
\(367\) −277.598 + 348.097i −0.0394836 + 0.0495109i −0.801181 0.598422i \(-0.795795\pi\)
0.761698 + 0.647933i \(0.224366\pi\)
\(368\) −6397.62 + 8022.36i −0.906247 + 1.13640i
\(369\) −923.883 + 4047.79i −0.130340 + 0.571056i
\(370\) −4094.61 + 17939.7i −0.575321 + 2.52065i
\(371\) 4237.11 622.949i 0.592937 0.0871749i
\(372\) 866.080 + 3794.55i 0.120710 + 0.528866i
\(373\) 9545.30 1.32503 0.662516 0.749048i \(-0.269489\pi\)
0.662516 + 0.749048i \(0.269489\pi\)
\(374\) −2989.11 −0.413270
\(375\) −1069.36 4685.17i −0.147257 0.645176i
\(376\) −639.984 308.200i −0.0877783 0.0422718i
\(377\) 3680.65 4615.38i 0.502819 0.630516i
\(378\) −7323.93 6845.16i −0.996567 0.931421i
\(379\) 200.352 + 251.234i 0.0271541 + 0.0340501i 0.795223 0.606317i \(-0.207354\pi\)
−0.768069 + 0.640367i \(0.778782\pi\)
\(380\) 3461.02 + 15163.7i 0.467228 + 2.04706i
\(381\) 3961.74 + 4967.87i 0.532720 + 0.668009i
\(382\) 3462.38 + 1667.39i 0.463745 + 0.223328i
\(383\) 2758.30 3458.79i 0.367996 0.461452i −0.563013 0.826448i \(-0.690358\pi\)
0.931009 + 0.364996i \(0.118930\pi\)
\(384\) −715.682 + 344.654i −0.0951094 + 0.0458023i
\(385\) 295.392 3758.92i 0.0391027 0.497590i
\(386\) 16235.2 + 7818.46i 2.14080 + 1.03096i
\(387\) −1416.18 + 681.995i −0.186016 + 0.0895807i
\(388\) −9.26727 + 40.6026i −0.00121256 + 0.00531258i
\(389\) 8575.10 4129.55i 1.11767 0.538243i 0.218500 0.975837i \(-0.429884\pi\)
0.899173 + 0.437594i \(0.144169\pi\)
\(390\) 4467.44 + 5601.99i 0.580045 + 0.727354i
\(391\) 10327.3 1.33573
\(392\) 256.257 639.273i 0.0330177 0.0823677i
\(393\) −490.770 −0.0629925
\(394\) −2664.74 3341.47i −0.340729 0.427261i
\(395\) −826.554 + 398.047i −0.105287 + 0.0507036i
\(396\) 322.826 1414.40i 0.0409663 0.179485i
\(397\) 1337.77 644.237i 0.169121 0.0814442i −0.347408 0.937714i \(-0.612938\pi\)
0.516529 + 0.856270i \(0.327224\pi\)
\(398\) −9439.37 4545.76i −1.18883 0.572509i
\(399\) −4755.74 4444.85i −0.596703 0.557697i
\(400\) 12820.1 6173.83i 1.60251 0.771729i
\(401\) 3857.43 4837.06i 0.480376 0.602373i −0.481301 0.876555i \(-0.659836\pi\)
0.961678 + 0.274182i \(0.0884072\pi\)
\(402\) 5556.02 + 2675.64i 0.689326 + 0.331962i
\(403\) −3361.13 4214.73i −0.415459 0.520969i
\(404\) −2600.32 11392.8i −0.320225 1.40300i
\(405\) −503.204 630.998i −0.0617393 0.0774187i
\(406\) −12783.9 3994.11i −1.56270 0.488237i
\(407\) 1772.59 2222.76i 0.215882 0.270708i
\(408\) 382.434 + 184.170i 0.0464051 + 0.0223475i
\(409\) −2389.42 10468.7i −0.288873 1.26564i −0.886074 0.463545i \(-0.846577\pi\)
0.597200 0.802092i \(-0.296280\pi\)
\(410\) −17174.9 −2.06880
\(411\) 219.691 0.0263663
\(412\) −1597.01 6996.96i −0.190969 0.836688i
\(413\) −346.411 + 4408.15i −0.0412731 + 0.525208i
\(414\) −2306.68 + 10106.2i −0.273834 + 1.19975i
\(415\) 2276.62 9974.52i 0.269289 1.17983i
\(416\) −5025.02 + 6301.18i −0.592240 + 0.742646i
\(417\) −2654.12 + 3328.16i −0.311685 + 0.390841i
\(418\) 1105.90 4845.28i 0.129405 0.566962i
\(419\) −1094.84 + 4796.79i −0.127652 + 0.559281i 0.870136 + 0.492811i \(0.164031\pi\)
−0.997788 + 0.0664695i \(0.978827\pi\)
\(420\) 3954.88 6793.09i 0.459472 0.789212i
\(421\) 2626.63 + 11508.0i 0.304071 + 1.33222i 0.863920 + 0.503628i \(0.168002\pi\)
−0.559849 + 0.828595i \(0.689141\pi\)
\(422\) −13138.4 −1.51557
\(423\) −6158.57 −0.707896
\(424\) −103.321 452.677i −0.0118342 0.0518489i
\(425\) −12902.9 6213.71i −1.47267 0.709198i
\(426\) 5191.70 6510.18i 0.590466 0.740421i
\(427\) −507.883 + 343.580i −0.0575601 + 0.0389391i
\(428\) −7456.36 9349.98i −0.842095 1.05595i
\(429\) −246.341 1079.29i −0.0277237 0.121466i
\(430\) −4054.02 5083.58i −0.454656 0.570121i
\(431\) −2614.59 1259.12i −0.292205 0.140718i 0.282039 0.959403i \(-0.408989\pi\)
−0.574243 + 0.818685i \(0.694704\pi\)
\(432\) −5815.66 + 7292.61i −0.647700 + 0.812190i
\(433\) −358.890 + 172.832i −0.0398317 + 0.0191820i −0.453694 0.891158i \(-0.649894\pi\)
0.413862 + 0.910340i \(0.364180\pi\)
\(434\) −6153.69 + 10569.9i −0.680614 + 1.16906i
\(435\) 9381.24 + 4517.77i 1.03401 + 0.497955i
\(436\) 9338.68 4497.27i 1.02578 0.493991i
\(437\) −3820.86 + 16740.3i −0.418253 + 1.83249i
\(438\) −6448.63 + 3105.50i −0.703487 + 0.338782i
\(439\) −3103.51 3891.67i −0.337408 0.423097i 0.583963 0.811780i \(-0.301501\pi\)
−0.921371 + 0.388684i \(0.872930\pi\)
\(440\) −408.792 −0.0442918
\(441\) −403.071 5957.62i −0.0435235 0.643302i
\(442\) 8630.98 0.928810
\(443\) −1372.67 1721.27i −0.147218 0.184605i 0.702755 0.711432i \(-0.251953\pi\)
−0.849973 + 0.526827i \(0.823382\pi\)
\(444\) 5339.97 2571.59i 0.570774 0.274870i
\(445\) −4767.88 + 20889.4i −0.507908 + 2.22529i
\(446\) −967.889 + 466.111i −0.102760 + 0.0494865i
\(447\) 974.816 + 469.447i 0.103148 + 0.0496735i
\(448\) 7862.04 + 2456.35i 0.829122 + 0.259044i
\(449\) −16500.4 + 7946.19i −1.73431 + 0.835198i −0.749400 + 0.662118i \(0.769658\pi\)
−0.984908 + 0.173080i \(0.944628\pi\)
\(450\) 8962.70 11238.9i 0.938902 1.17735i
\(451\) 2390.79 + 1151.34i 0.249619 + 0.120210i
\(452\) 9839.82 + 12338.7i 1.02395 + 1.28400i
\(453\) −1144.41 5014.00i −0.118696 0.520040i
\(454\) −8927.18 11194.3i −0.922849 1.15722i
\(455\) −852.937 + 10853.8i −0.0878820 + 1.11832i
\(456\) −440.028 + 551.778i −0.0451891 + 0.0566653i
\(457\) 7881.58 + 3795.57i 0.806750 + 0.388510i 0.791344 0.611371i \(-0.209382\pi\)
0.0154057 + 0.999881i \(0.495096\pi\)
\(458\) −747.761 3276.15i −0.0762894 0.334246i
\(459\) 9387.85 0.954657
\(460\) −20734.4 −2.10162
\(461\) −2071.19 9074.50i −0.209252 0.916793i −0.965066 0.262007i \(-0.915616\pi\)
0.755814 0.654786i \(-0.227241\pi\)
\(462\) −2080.35 + 1407.34i −0.209495 + 0.141722i
\(463\) 3165.38 13868.4i 0.317727 1.39205i −0.523801 0.851841i \(-0.675486\pi\)
0.841528 0.540214i \(-0.181657\pi\)
\(464\) −2773.04 + 12149.5i −0.277446 + 1.21557i
\(465\) 5928.46 7434.05i 0.591238 0.741389i
\(466\) 15295.2 19179.6i 1.52047 1.90660i
\(467\) −1309.43 + 5736.99i −0.129750 + 0.568471i 0.867699 + 0.497090i \(0.165598\pi\)
−0.997449 + 0.0713816i \(0.977259\pi\)
\(468\) −932.154 + 4084.04i −0.0920702 + 0.403386i
\(469\) 3391.65 + 8734.70i 0.333927 + 0.859981i
\(470\) −5668.91 24837.1i −0.556356 2.43755i
\(471\) −9526.80 −0.931999
\(472\) 479.398 0.0467501
\(473\) 223.545 + 979.414i 0.0217307 + 0.0952082i
\(474\) 550.596 + 265.153i 0.0533538 + 0.0256938i
\(475\) 14846.1 18616.4i 1.43407 1.79827i
\(476\) −3427.26 8826.43i −0.330018 0.849913i
\(477\) −2509.96 3147.38i −0.240929 0.302115i
\(478\) 3829.58 + 16778.5i 0.366445 + 1.60550i
\(479\) 7787.25 + 9764.91i 0.742816 + 0.931461i 0.999385 0.0350644i \(-0.0111636\pi\)
−0.256569 + 0.966526i \(0.582592\pi\)
\(480\) −12807.8 6167.90i −1.21790 0.586510i
\(481\) −5118.32 + 6418.17i −0.485188 + 0.608406i
\(482\) 1329.58 640.290i 0.125644 0.0605071i
\(483\) 7187.53 4862.32i 0.677110 0.458061i
\(484\) 8146.31 + 3923.06i 0.765055 + 0.368431i
\(485\) 91.6675 44.1448i 0.00858228 0.00413301i
\(486\) −3371.72 + 14772.5i −0.314700 + 1.37879i
\(487\) −7360.98 + 3544.86i −0.684924 + 0.329842i −0.743780 0.668425i \(-0.766969\pi\)
0.0588563 + 0.998266i \(0.481255\pi\)
\(488\) 41.4497 + 51.9762i 0.00384496 + 0.00482142i
\(489\) 8586.00 0.794013
\(490\) 23655.7 7109.49i 2.18093 0.655458i
\(491\) 5894.06 0.541741 0.270871 0.962616i \(-0.412688\pi\)
0.270871 + 0.962616i \(0.412688\pi\)
\(492\) 3449.14 + 4325.08i 0.316055 + 0.396321i
\(493\) 11300.3 5441.95i 1.03233 0.497146i
\(494\) −3193.27 + 13990.6i −0.290834 + 1.27423i
\(495\) −3193.25 + 1537.79i −0.289951 + 0.139633i
\(496\) 10253.1 + 4937.65i 0.928184 + 0.446990i
\(497\) 12517.7 1840.38i 1.12977 0.166101i
\(498\) −6140.32 + 2957.02i −0.552519 + 0.266079i
\(499\) 4420.01 5542.51i 0.396526 0.497228i −0.542987 0.839741i \(-0.682707\pi\)
0.939513 + 0.342513i \(0.111278\pi\)
\(500\) 10471.3 + 5042.69i 0.936578 + 0.451032i
\(501\) 1145.59 + 1436.52i 0.102158 + 0.128102i
\(502\) −4534.00 19864.7i −0.403112 1.76615i
\(503\) −1818.10 2279.83i −0.161164 0.202093i 0.694692 0.719307i \(-0.255540\pi\)
−0.855856 + 0.517214i \(0.826969\pi\)
\(504\) −640.507 + 94.1687i −0.0566080 + 0.00832263i
\(505\) −17799.6 + 22320.0i −1.56846 + 1.96679i
\(506\) 5969.16 + 2874.59i 0.524430 + 0.252552i
\(507\) −802.729 3516.99i −0.0703165 0.308077i
\(508\) −15367.1 −1.34214
\(509\) 11495.4 1.00104 0.500518 0.865726i \(-0.333143\pi\)
0.500518 + 0.865726i \(0.333143\pi\)
\(510\) 3387.56 + 14841.9i 0.294125 + 1.28864i
\(511\) −10380.6 3243.22i −0.898650 0.280767i
\(512\) 3543.48 15525.0i 0.305862 1.34007i
\(513\) −3473.30 + 15217.5i −0.298928 + 1.30969i
\(514\) −6329.87 + 7937.41i −0.543188 + 0.681137i
\(515\) −10931.8 + 13708.0i −0.935363 + 1.17291i
\(516\) −466.030 + 2041.81i −0.0397594 + 0.174197i
\(517\) −875.864 + 3837.41i −0.0745077 + 0.326439i
\(518\) 17777.4 + 5554.22i 1.50790 + 0.471117i
\(519\) −1118.15 4898.93i −0.0945689 0.414334i
\(520\) 1180.38 0.0995442
\(521\) 16479.2 1.38574 0.692868 0.721064i \(-0.256347\pi\)
0.692868 + 0.721064i \(0.256347\pi\)
\(522\) 2801.46 + 12274.0i 0.234897 + 1.02915i
\(523\) −11139.1 5364.32i −0.931320 0.448500i −0.0942208 0.995551i \(-0.530036\pi\)
−0.837099 + 0.547051i \(0.815750\pi\)
\(524\) 740.020 927.956i 0.0616945 0.0773625i
\(525\) −11905.7 + 1750.40i −0.989727 + 0.145512i
\(526\) 9786.64 + 12272.1i 0.811251 + 1.01728i
\(527\) −2548.67 11166.5i −0.210668 0.922995i
\(528\) 1457.09 + 1827.13i 0.120098 + 0.150598i
\(529\) −9661.15 4652.56i −0.794045 0.382392i
\(530\) 10382.8 13019.6i 0.850944 1.06705i
\(531\) 3744.78 1803.39i 0.306045 0.147383i
\(532\) 15575.5 2289.94i 1.26933 0.186619i
\(533\) −6903.36 3324.48i −0.561009 0.270168i
\(534\) 12859.6 6192.83i 1.04211 0.501854i
\(535\) −6501.20 + 28483.6i −0.525367 + 2.30178i
\(536\) 915.283 440.777i 0.0737578 0.0355199i
\(537\) −3911.01 4904.25i −0.314288 0.394104i
\(538\) −12385.0 −0.992479
\(539\) −3769.52 596.132i −0.301234 0.0476386i
\(540\) −18848.3 −1.50204
\(541\) −3557.64 4461.14i −0.282726 0.354528i 0.620108 0.784517i \(-0.287089\pi\)
−0.902834 + 0.429989i \(0.858517\pi\)
\(542\) 7503.05 3613.28i 0.594619 0.286354i
\(543\) −1906.11 + 8351.22i −0.150643 + 0.660009i
\(544\) −15427.8 + 7429.65i −1.21592 + 0.585558i
\(545\) −22814.5 10986.9i −1.79315 0.863533i
\(546\) 6006.96 4063.67i 0.470832 0.318515i
\(547\) −5813.34 + 2799.56i −0.454407 + 0.218831i −0.647065 0.762435i \(-0.724004\pi\)
0.192658 + 0.981266i \(0.438289\pi\)
\(548\) −331.267 + 415.395i −0.0258230 + 0.0323811i
\(549\) 519.305 + 250.084i 0.0403705 + 0.0194414i
\(550\) −5728.29 7183.05i −0.444100 0.556884i
\(551\) 4640.42 + 20331.0i 0.358781 + 1.57192i
\(552\) −586.594 735.565i −0.0452302 0.0567169i
\(553\) 336.109 + 865.600i 0.0258459 + 0.0665625i
\(554\) 7793.53 9772.78i 0.597681 0.749469i
\(555\) −13045.6 6282.42i −0.997756 0.480494i
\(556\) −2290.86 10036.9i −0.174738 0.765575i
\(557\) 8462.90 0.643778 0.321889 0.946777i \(-0.395682\pi\)
0.321889 + 0.946777i \(0.395682\pi\)
\(558\) 11496.7 0.872215
\(559\) −645.481 2828.04i −0.0488389 0.213977i
\(560\) −8319.09 21424.6i −0.627761 1.61671i
\(561\) 523.388 2293.11i 0.0393894 0.172576i
\(562\) 1330.09 5827.50i 0.0998334 0.437399i
\(563\) 10363.7 12995.6i 0.775802 0.972825i −0.224197 0.974544i \(-0.571976\pi\)
0.999999 + 0.00171932i \(0.000547278\pi\)
\(564\) −5116.17 + 6415.47i −0.381967 + 0.478972i
\(565\) 8579.33 37588.5i 0.638824 2.79887i
\(566\) 1330.22 5828.08i 0.0987869 0.432814i
\(567\) −676.613 + 457.725i −0.0501148 + 0.0339024i
\(568\) −305.241 1337.35i −0.0225486 0.0987919i
\(569\) −5553.95 −0.409198 −0.204599 0.978846i \(-0.565589\pi\)
−0.204599 + 0.978846i \(0.565589\pi\)
\(570\) −25311.7 −1.85998
\(571\) −3864.13 16929.9i −0.283203 1.24079i −0.893660 0.448744i \(-0.851871\pi\)
0.610457 0.792049i \(-0.290986\pi\)
\(572\) 2412.20 + 1161.65i 0.176327 + 0.0849146i
\(573\) −1885.41 + 2364.23i −0.137459 + 0.172368i
\(574\) −1361.90 + 17330.4i −0.0990321 + 1.26020i
\(575\) 19791.1 + 24817.2i 1.43538 + 1.79991i
\(576\) −1722.88 7548.42i −0.124629 0.546037i
\(577\) 8832.30 + 11075.4i 0.637251 + 0.799087i 0.990656 0.136383i \(-0.0435478\pi\)
−0.353405 + 0.935470i \(0.614976\pi\)
\(578\) −899.506 433.179i −0.0647310 0.0311728i
\(579\) −8840.74 + 11085.9i −0.634557 + 0.795710i
\(580\) −22688.0 + 10926.0i −1.62426 + 0.782200i
\(581\) −9884.30 3088.17i −0.705800 0.220514i
\(582\) −61.0629 29.4063i −0.00434904 0.00209439i
\(583\) −2318.10 + 1116.34i −0.164676 + 0.0793037i
\(584\) −262.374 + 1149.53i −0.0185909 + 0.0814522i
\(585\) 9220.44 4440.33i 0.651655 0.313821i
\(586\) 15725.1 + 19718.7i 1.10853 + 1.39006i
\(587\) 13013.6 0.915043 0.457521 0.889199i \(-0.348737\pi\)
0.457521 + 0.889199i \(0.348737\pi\)
\(588\) −6540.99 4529.35i −0.458751 0.317665i
\(589\) 19043.5 1.33222
\(590\) 10720.0 + 13442.5i 0.748026 + 0.937995i
\(591\) 3030.03 1459.18i 0.210894 0.101561i
\(592\) 3856.20 16895.1i 0.267717 1.17295i
\(593\) −1342.40 + 646.467i −0.0929609 + 0.0447676i −0.479786 0.877385i \(-0.659286\pi\)
0.386826 + 0.922153i \(0.373572\pi\)
\(594\) 5426.18 + 2613.11i 0.374813 + 0.180500i
\(595\) −11638.3 + 19990.5i −0.801887 + 1.37736i
\(596\) −2357.54 + 1135.33i −0.162028 + 0.0780285i
\(597\) 5140.13 6445.52i 0.352381 0.441872i
\(598\) −17235.8 8300.33i −1.17864 0.567601i
\(599\) −7334.75 9197.48i −0.500317 0.627377i 0.465984 0.884793i \(-0.345700\pi\)
−0.966301 + 0.257416i \(0.917129\pi\)
\(600\) 290.316 + 1271.96i 0.0197535 + 0.0865458i
\(601\) 7091.14 + 8892.01i 0.481287 + 0.603515i 0.961894 0.273421i \(-0.0881552\pi\)
−0.480607 + 0.876936i \(0.659584\pi\)
\(602\) −5451.07 + 3687.61i −0.369051 + 0.249661i
\(603\) 5491.56 6886.20i 0.370868 0.465054i
\(604\) 11206.2 + 5396.61i 0.754922 + 0.363551i
\(605\) −4915.26 21535.2i −0.330304 1.44716i
\(606\) 19017.1 1.27478
\(607\) −20896.4 −1.39730 −0.698648 0.715465i \(-0.746215\pi\)
−0.698648 + 0.715465i \(0.746215\pi\)
\(608\) −6335.35 27757.0i −0.422586 1.85147i
\(609\) 5302.56 9107.93i 0.352825 0.606030i
\(610\) −530.557 + 2324.52i −0.0352158 + 0.154290i
\(611\) 2529.04 11080.4i 0.167453 0.733661i
\(612\) −5549.23 + 6958.51i −0.366527 + 0.459610i
\(613\) −2631.12 + 3299.33i −0.173361 + 0.217387i −0.860919 0.508741i \(-0.830111\pi\)
0.687559 + 0.726129i \(0.258682\pi\)
\(614\) −4068.15 + 17823.7i −0.267389 + 1.17151i
\(615\) 3007.30 13175.9i 0.197181 0.863905i
\(616\) −32.4154 + 412.493i −0.00212022 + 0.0269802i
\(617\) 55.6319 + 243.739i 0.00362991 + 0.0159037i 0.976710 0.214562i \(-0.0688323\pi\)
−0.973081 + 0.230465i \(0.925975\pi\)
\(618\) 11679.5 0.760223
\(619\) −10844.4 −0.704158 −0.352079 0.935970i \(-0.614525\pi\)
−0.352079 + 0.935970i \(0.614525\pi\)
\(620\) 5117.05 + 22419.2i 0.331461 + 1.45222i
\(621\) −18747.3 9028.21i −1.21144 0.583397i
\(622\) 2035.74 2552.74i 0.131231 0.164559i
\(623\) 20700.5 + 6467.48i 1.33122 + 0.415914i
\(624\) −4207.31 5275.80i −0.269916 0.338463i
\(625\) −482.322 2113.19i −0.0308686 0.135244i
\(626\) −17560.2 22019.8i −1.12116 1.40589i
\(627\) 3523.45 + 1696.80i 0.224423 + 0.108076i
\(628\) 14365.2 18013.4i 0.912795 1.14461i
\(629\) −15714.3 + 7567.60i −0.996136 + 0.479714i
\(630\) −16963.1 15854.3i −1.07274 1.00262i
\(631\) 11468.4 + 5522.89i 0.723533 + 0.348435i 0.759137 0.650931i \(-0.225621\pi\)
−0.0356039 + 0.999366i \(0.511335\pi\)
\(632\) 90.7036 43.6806i 0.00570886 0.00274924i
\(633\) 2300.52 10079.2i 0.144451 0.632881i
\(634\) 11044.3 5318.65i 0.691838 0.333171i
\(635\) 23407.1 + 29351.5i 1.46281 + 1.83430i
\(636\) −5363.80 −0.334416
\(637\) 10884.4 + 1721.32i 0.677012 + 0.107066i
\(638\) 8046.35 0.499307
\(639\) −7415.18 9298.34i −0.459061 0.575644i
\(640\) −4228.45 + 2036.32i −0.261163 + 0.125769i
\(641\) 2189.18 9591.42i 0.134894 0.591011i −0.861617 0.507559i \(-0.830548\pi\)
0.996512 0.0834527i \(-0.0265948\pi\)
\(642\) 17534.5 8444.19i 1.07793 0.519105i
\(643\) 14826.9 + 7140.27i 0.909357 + 0.437923i 0.829259 0.558864i \(-0.188763\pi\)
0.0800975 + 0.996787i \(0.474477\pi\)
\(644\) −1644.15 + 20922.1i −0.100603 + 1.28019i
\(645\) 4609.75 2219.94i 0.281409 0.135520i
\(646\) −19009.9 + 23837.7i −1.15780 + 1.45183i
\(647\) 7541.85 + 3631.96i 0.458270 + 0.220691i 0.648753 0.760999i \(-0.275291\pi\)
−0.190483 + 0.981691i \(0.561005\pi\)
\(648\) 55.2202 + 69.2440i 0.00334762 + 0.00419778i
\(649\) −591.117 2589.85i −0.0357525 0.156642i
\(650\) 16540.3 + 20740.9i 0.998099 + 1.25158i
\(651\) −7031.25 6571.62i −0.423313 0.395640i
\(652\) −12946.6 + 16234.6i −0.777652 + 0.975144i
\(653\) −8722.42 4200.50i −0.522718 0.251728i 0.153868 0.988091i \(-0.450827\pi\)
−0.676586 + 0.736364i \(0.736541\pi\)
\(654\) 3753.47 + 16445.0i 0.224423 + 0.983260i
\(655\) −2899.61 −0.172972
\(656\) 16174.9 0.962687
\(657\) 2274.79 + 9966.50i 0.135081 + 0.591827i
\(658\) −25511.5 + 3750.76i −1.51146 + 0.222218i
\(659\) −885.394 + 3879.17i −0.0523370 + 0.229303i −0.994331 0.106325i \(-0.966092\pi\)
0.941994 + 0.335629i \(0.108949\pi\)
\(660\) −1050.82 + 4603.96i −0.0619746 + 0.271528i
\(661\) −14825.2 + 18590.2i −0.872363 + 1.09391i 0.122479 + 0.992471i \(0.460916\pi\)
−0.994842 + 0.101437i \(0.967656\pi\)
\(662\) 20545.1 25762.7i 1.20620 1.51253i
\(663\) −1511.27 + 6621.32i −0.0885263 + 0.387859i
\(664\) −249.830 + 1094.58i −0.0146013 + 0.0639725i
\(665\) −28098.2 26261.4i −1.63850 1.53139i
\(666\) −3895.72 17068.3i −0.226661 0.993065i
\(667\) −27799.9 −1.61382
\(668\) −4443.61 −0.257378
\(669\) −188.104 824.139i −0.0108707 0.0476279i
\(670\) 32826.5 + 15808.4i 1.89283 + 0.911541i
\(671\) 229.682 288.013i 0.0132143 0.0165702i
\(672\) −7239.35 + 12434.6i −0.415571 + 0.713805i
\(673\) −4229.13 5303.16i −0.242230 0.303747i 0.645823 0.763487i \(-0.276514\pi\)
−0.888054 + 0.459740i \(0.847943\pi\)
\(674\) 4162.16 + 18235.6i 0.237864 + 1.04215i
\(675\) 17990.8 + 22559.7i 1.02587 + 1.28641i
\(676\) 7860.39 + 3785.36i 0.447223 + 0.215371i
\(677\) −12457.1 + 15620.7i −0.707188 + 0.886786i −0.997538 0.0701349i \(-0.977657\pi\)
0.290349 + 0.956921i \(0.406228\pi\)
\(678\) −23139.5 + 11143.4i −1.31072 + 0.631210i
\(679\) −37.2756 95.9979i −0.00210678 0.00542572i
\(680\) 2259.53 + 1088.13i 0.127425 + 0.0613645i
\(681\) 10150.9 4888.44i 0.571197 0.275074i
\(682\) 1635.05 7163.63i 0.0918027 0.402214i
\(683\) −6358.43 + 3062.06i −0.356221 + 0.171547i −0.603431 0.797415i \(-0.706200\pi\)
0.247211 + 0.968962i \(0.420486\pi\)
\(684\) −9226.51 11569.7i −0.515767 0.646751i
\(685\) 1298.00 0.0723998
\(686\) −5298.07 24433.6i −0.294870 1.35988i
\(687\) 2644.26 0.146848
\(688\) 3817.96 + 4787.57i 0.211568 + 0.265297i
\(689\) 6693.47 3223.40i 0.370103 0.178232i
\(690\) 7508.42 32896.5i 0.414262 1.81500i
\(691\) −8184.85 + 3941.61i −0.450602 + 0.216999i −0.645400 0.763845i \(-0.723309\pi\)
0.194798 + 0.980843i \(0.437595\pi\)
\(692\) 10949.0 + 5272.76i 0.601472 + 0.289654i
\(693\) 1298.50 + 3344.10i 0.0711774 + 0.183307i
\(694\) −20932.2 + 10080.4i −1.14492 + 0.551366i
\(695\) −15681.3 + 19663.7i −0.855864 + 1.07322i
\(696\) −1029.47 495.767i −0.0560660 0.0270000i
\(697\) −10150.0 12727.7i −0.551591 0.691673i
\(698\) 391.367 + 1714.69i 0.0212227 + 0.0929828i
\(699\) 12035.6 + 15092.2i 0.651256 + 0.816649i
\(700\) 14642.6 25150.8i 0.790626 1.35802i
\(701\) 9731.08 12202.4i 0.524305 0.657458i −0.447212 0.894428i \(-0.647583\pi\)
0.971517 + 0.236970i \(0.0761545\pi\)
\(702\) −15668.0 7545.30i −0.842378 0.405668i
\(703\) −6452.98 28272.4i −0.346200 1.51680i
\(704\) −4948.45 −0.264917
\(705\) 20046.6 1.07092
\(706\) 6727.26 + 29474.1i 0.358617 + 1.57121i
\(707\) 21110.7 + 19730.7i 1.12298 + 1.04957i
\(708\) 1232.32 5399.14i 0.0654144 0.286599i
\(709\) 3164.80 13865.9i 0.167640 0.734479i −0.819297 0.573370i \(-0.805636\pi\)
0.986937 0.161109i \(-0.0515070\pi\)
\(710\) 30674.0 38464.0i 1.62137 2.03314i
\(711\) 544.208 682.416i 0.0287052 0.0359952i
\(712\) 523.213 2292.35i 0.0275397 0.120659i
\(713\) −5649.05 + 24750.1i −0.296716 + 1.30000i
\(714\) 15244.8 2241.33i 0.799053 0.117479i
\(715\) −1455.45 6376.76i −0.0761272 0.333535i
\(716\) 15170.3 0.791819
\(717\) −13542.3 −0.705363
\(718\) 8237.63 + 36091.4i 0.428169 + 1.87593i
\(719\) 2102.48 + 1012.50i 0.109053 + 0.0525173i 0.487615 0.873059i \(-0.337867\pi\)
−0.378562 + 0.925576i \(0.623581\pi\)
\(720\) −13469.8 + 16890.6i −0.697208 + 0.874272i
\(721\) 12965.3 + 12117.7i 0.669698 + 0.625920i
\(722\) −14776.0 18528.6i −0.761645 0.955072i
\(723\) 258.396 + 1132.11i 0.0132916 + 0.0582345i
\(724\) −12916.4 16196.7i −0.663033 0.831417i
\(725\) 34733.2 + 16726.6i 1.77925 + 0.856844i
\(726\) −9174.18 + 11504.1i −0.468989 + 0.588093i
\(727\) 19463.0 9372.87i 0.992904 0.478158i 0.134380 0.990930i \(-0.457096\pi\)
0.858525 + 0.512772i \(0.171381\pi\)
\(728\) 93.5988 1191.06i 0.00476512 0.0606371i
\(729\) −9669.44 4656.56i −0.491259 0.236578i
\(730\) −38100.3 + 18348.1i −1.93172 + 0.930268i
\(731\) 1371.42 6008.57i 0.0693895 0.304015i
\(732\) 691.923 333.213i 0.0349375 0.0168250i
\(733\) −20687.2 25940.9i −1.04243 1.30716i −0.950274 0.311416i \(-0.899197\pi\)
−0.0921522 0.995745i \(-0.529375\pi\)
\(734\) 1752.31 0.0881183
\(735\) 1312.02 + 19392.5i 0.0658432 + 0.973201i
\(736\) 37953.9 1.90082
\(737\) −3509.80 4401.14i −0.175421 0.219970i
\(738\) 14722.4 7089.94i 0.734335 0.353637i
\(739\) 4355.52 19082.8i 0.216807 0.949894i −0.743013 0.669277i \(-0.766604\pi\)
0.959820 0.280617i \(-0.0905390\pi\)
\(740\) 31550.0 15193.7i 1.56730 0.754772i
\(741\) −10173.9 4899.48i −0.504382 0.242897i
\(742\) −12314.2 11509.2i −0.609256 0.569429i
\(743\) −25084.8 + 12080.2i −1.23859 + 0.596473i −0.934430 0.356148i \(-0.884090\pi\)
−0.304159 + 0.952621i \(0.598376\pi\)
\(744\) −650.572 + 815.791i −0.0320580 + 0.0401994i
\(745\) 5759.49 + 2773.62i 0.283237 + 0.136400i
\(746\) −23423.0 29371.5i −1.14957 1.44151i
\(747\) 2166.03 + 9490.01i 0.106092 + 0.464821i
\(748\) 3546.65 + 4447.36i 0.173367 + 0.217395i
\(749\) 28226.0 + 8818.68i 1.37698 + 0.430210i
\(750\) −11792.5 + 14787.3i −0.574134 + 0.719941i
\(751\) 26681.1 + 12848.9i 1.29641 + 0.624320i 0.949556 0.313598i \(-0.101534\pi\)
0.346858 + 0.937918i \(0.387249\pi\)
\(752\) 5338.82 + 23390.9i 0.258892 + 1.13428i
\(753\) 16033.3 0.775943
\(754\) −23233.7 −1.12218
\(755\) −6761.51 29624.1i −0.325929 1.42799i
\(756\) −1494.59 + 19018.9i −0.0719016 + 0.914962i
\(757\) −1640.42 + 7187.15i −0.0787610 + 0.345074i −0.998920 0.0464714i \(-0.985202\pi\)
0.920159 + 0.391546i \(0.128060\pi\)
\(758\) 281.422 1232.99i 0.0134851 0.0590821i
\(759\) −3250.46 + 4075.94i −0.155447 + 0.194924i
\(760\) −2599.81 + 3260.06i −0.124086 + 0.155598i
\(761\) −5363.05 + 23497.0i −0.255467 + 1.11927i 0.670572 + 0.741845i \(0.266049\pi\)
−0.926039 + 0.377429i \(0.876808\pi\)
\(762\) 5564.82 24381.0i 0.264556 1.15910i
\(763\) −12895.4 + 22149.8i −0.611855 + 1.05095i
\(764\) −1627.36 7129.92i −0.0770625 0.337633i
\(765\) 21743.4 1.02763
\(766\) −17411.4 −0.821281
\(767\) 1706.84 + 7478.15i 0.0803525 + 0.352047i
\(768\) 12744.4 + 6137.38i 0.598794 + 0.288364i
\(769\) 21351.9 26774.4i 1.00126 1.25554i 0.0346181 0.999401i \(-0.488979\pi\)
0.966640 0.256138i \(-0.0824501\pi\)
\(770\) −12291.3 + 8314.98i −0.575256