Properties

Label 49.4.e.a.15.4
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 15.4
Character \(\chi\) \(=\) 49.15
Dual form 49.4.e.a.36.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.764068 + 3.34760i) q^{2} +(-5.99643 + 7.51929i) q^{3} +(-3.41489 - 1.64452i) q^{4} +(0.968529 - 1.21450i) q^{5} +(-20.5899 - 25.8189i) q^{6} +(18.5012 + 0.839908i) q^{7} +(-9.01256 + 11.3014i) q^{8} +(-14.5744 - 63.8547i) q^{9} +O(q^{10})\) \(q+(-0.764068 + 3.34760i) q^{2} +(-5.99643 + 7.51929i) q^{3} +(-3.41489 - 1.64452i) q^{4} +(0.968529 - 1.21450i) q^{5} +(-20.5899 - 25.8189i) q^{6} +(18.5012 + 0.839908i) q^{7} +(-9.01256 + 11.3014i) q^{8} +(-14.5744 - 63.8547i) q^{9} +(3.32563 + 4.17021i) q^{10} +(3.27050 - 14.3290i) q^{11} +(32.8428 - 15.8162i) q^{12} +(-15.5577 + 68.1626i) q^{13} +(-16.9479 + 61.2929i) q^{14} +(3.32443 + 14.5653i) q^{15} +(-49.8518 - 62.5121i) q^{16} +(-63.7286 + 30.6901i) q^{17} +224.896 q^{18} +87.5128 q^{19} +(-5.30468 + 2.55460i) q^{20} +(-117.257 + 134.079i) q^{21} +(45.4689 + 21.8967i) q^{22} +(-67.8425 - 32.6712i) q^{23} +(-30.9352 - 135.536i) q^{24} +(27.2782 + 119.513i) q^{25} +(-216.294 - 104.162i) q^{26} +(333.579 + 160.643i) q^{27} +(-61.7982 - 33.2938i) q^{28} +(85.8713 - 41.3534i) q^{29} -51.2989 q^{30} +24.8262 q^{31} +(143.168 - 68.9459i) q^{32} +(88.1326 + 110.515i) q^{33} +(-54.0451 - 236.787i) q^{34} +(18.9390 - 21.6562i) q^{35} +(-55.2405 + 242.025i) q^{36} +(118.552 - 57.0918i) q^{37} +(-66.8657 + 292.958i) q^{38} +(-419.244 - 525.715i) q^{39} +(4.99658 + 21.8915i) q^{40} +(-269.658 + 338.140i) q^{41} +(-359.252 - 494.975i) q^{42} +(-5.18157 - 6.49749i) q^{43} +(-34.7328 + 43.5535i) q^{44} +(-91.6671 - 44.1446i) q^{45} +(161.207 - 202.147i) q^{46} +(0.791524 - 3.46789i) q^{47} +768.979 q^{48} +(341.589 + 31.0786i) q^{49} -420.926 q^{50} +(151.377 - 663.225i) q^{51} +(165.223 - 207.183i) q^{52} +(-74.5514 - 35.9021i) q^{53} +(-792.647 + 993.948i) q^{54} +(-14.2350 - 17.8501i) q^{55} +(-176.235 + 201.520i) q^{56} +(-524.764 + 658.034i) q^{57} +(72.8233 + 319.060i) q^{58} +(479.843 + 601.704i) q^{59} +(12.6004 - 55.2059i) q^{60} +(240.438 - 115.789i) q^{61} +(-18.9689 + 83.1083i) q^{62} +(-216.012 - 1193.63i) q^{63} +(-20.9216 - 91.6634i) q^{64} +(67.7152 + 84.9122i) q^{65} +(-437.299 + 210.592i) q^{66} +730.850 q^{67} +268.096 q^{68} +(652.477 - 314.216i) q^{69} +(58.0256 + 79.9471i) q^{70} +(978.237 + 471.094i) q^{71} +(853.001 + 410.783i) q^{72} +(-2.23303 - 9.78354i) q^{73} +(100.539 + 440.488i) q^{74} +(-1062.23 - 511.542i) q^{75} +(-298.846 - 143.917i) q^{76} +(72.5433 - 262.357i) q^{77} +(2080.22 - 1001.78i) q^{78} -782.975 q^{79} -124.204 q^{80} +(-1614.92 + 777.704i) q^{81} +(-925.922 - 1161.07i) q^{82} +(-136.595 - 598.460i) q^{83} +(620.915 - 265.035i) q^{84} +(-24.4500 + 107.122i) q^{85} +(25.7101 - 12.3813i) q^{86} +(-203.973 + 893.664i) q^{87} +(132.462 + 166.102i) q^{88} +(-95.1237 - 416.764i) q^{89} +(217.818 - 273.136i) q^{90} +(-345.086 + 1248.02i) q^{91} +(177.946 + 223.137i) q^{92} +(-148.869 + 186.675i) q^{93} +(11.0043 + 5.29942i) q^{94} +(84.7587 - 106.284i) q^{95} +(-340.071 + 1489.95i) q^{96} -955.283 q^{97} +(-365.036 + 1119.76i) q^{98} -962.641 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.764068 + 3.34760i −0.270139 + 1.18356i 0.639710 + 0.768616i \(0.279054\pi\)
−0.909849 + 0.414940i \(0.863803\pi\)
\(3\) −5.99643 + 7.51929i −1.15401 + 1.44709i −0.280789 + 0.959769i \(0.590596\pi\)
−0.873225 + 0.487318i \(0.837975\pi\)
\(4\) −3.41489 1.64452i −0.426861 0.205565i
\(5\) 0.968529 1.21450i 0.0866279 0.108628i −0.736629 0.676297i \(-0.763583\pi\)
0.823257 + 0.567670i \(0.192155\pi\)
\(6\) −20.5899 25.8189i −1.40096 1.75675i
\(7\) 18.5012 + 0.839908i 0.998971 + 0.0453508i
\(8\) −9.01256 + 11.3014i −0.398303 + 0.499456i
\(9\) −14.5744 63.8547i −0.539794 2.36499i
\(10\) 3.32563 + 4.17021i 0.105166 + 0.131874i
\(11\) 3.27050 14.3290i 0.0896449 0.392760i −0.910122 0.414340i \(-0.864012\pi\)
0.999767 + 0.0215799i \(0.00686962\pi\)
\(12\) 32.8428 15.8162i 0.790074 0.380480i
\(13\) −15.5577 + 68.1626i −0.331917 + 1.45422i 0.483497 + 0.875346i \(0.339366\pi\)
−0.815414 + 0.578878i \(0.803491\pi\)
\(14\) −16.9479 + 61.2929i −0.323536 + 1.17009i
\(15\) 3.32443 + 14.5653i 0.0572243 + 0.250716i
\(16\) −49.8518 62.5121i −0.778934 0.976752i
\(17\) −63.7286 + 30.6901i −0.909203 + 0.437849i −0.829204 0.558946i \(-0.811206\pi\)
−0.0799990 + 0.996795i \(0.525492\pi\)
\(18\) 224.896 2.94492
\(19\) 87.5128 1.05667 0.528337 0.849035i \(-0.322816\pi\)
0.528337 + 0.849035i \(0.322816\pi\)
\(20\) −5.30468 + 2.55460i −0.0593082 + 0.0285613i
\(21\) −117.257 + 134.079i −1.21845 + 1.39326i
\(22\) 45.4689 + 21.8967i 0.440637 + 0.212200i
\(23\) −67.8425 32.6712i −0.615049 0.296192i 0.100302 0.994957i \(-0.468019\pi\)
−0.715351 + 0.698765i \(0.753733\pi\)
\(24\) −30.9352 135.536i −0.263109 1.15276i
\(25\) 27.2782 + 119.513i 0.218225 + 0.956108i
\(26\) −216.294 104.162i −1.63149 0.785685i
\(27\) 333.579 + 160.643i 2.37768 + 1.14503i
\(28\) −61.7982 33.2938i −0.417099 0.224712i
\(29\) 85.8713 41.3534i 0.549858 0.264798i −0.138260 0.990396i \(-0.544151\pi\)
0.688119 + 0.725598i \(0.258437\pi\)
\(30\) −51.2989 −0.312195
\(31\) 24.8262 0.143836 0.0719181 0.997411i \(-0.477088\pi\)
0.0719181 + 0.997411i \(0.477088\pi\)
\(32\) 143.168 68.9459i 0.790897 0.380876i
\(33\) 88.1326 + 110.515i 0.464907 + 0.582975i
\(34\) −54.0451 236.787i −0.272608 1.19437i
\(35\) 18.9390 21.6562i 0.0914651 0.104588i
\(36\) −55.2405 + 242.025i −0.255743 + 1.12048i
\(37\) 118.552 57.0918i 0.526754 0.253671i −0.151554 0.988449i \(-0.548428\pi\)
0.678308 + 0.734778i \(0.262714\pi\)
\(38\) −66.8657 + 292.958i −0.285449 + 1.25063i
\(39\) −419.244 525.715i −1.72135 2.15851i
\(40\) 4.99658 + 21.8915i 0.0197507 + 0.0865336i
\(41\) −269.658 + 338.140i −1.02716 + 1.28802i −0.0702803 + 0.997527i \(0.522389\pi\)
−0.956878 + 0.290489i \(0.906182\pi\)
\(42\) −359.252 494.975i −1.31985 1.81848i
\(43\) −5.18157 6.49749i −0.0183763 0.0230432i 0.772558 0.634944i \(-0.218977\pi\)
−0.790935 + 0.611901i \(0.790405\pi\)
\(44\) −34.7328 + 43.5535i −0.119004 + 0.149226i
\(45\) −91.6671 44.1446i −0.303665 0.146237i
\(46\) 161.207 202.147i 0.516709 0.647932i
\(47\) 0.791524 3.46789i 0.00245650 0.0107626i −0.973685 0.227899i \(-0.926814\pi\)
0.976141 + 0.217136i \(0.0696716\pi\)
\(48\) 768.979 2.31235
\(49\) 341.589 + 31.0786i 0.995887 + 0.0906082i
\(50\) −420.926 −1.19056
\(51\) 151.377 663.225i 0.415627 1.82098i
\(52\) 165.223 207.183i 0.440620 0.552520i
\(53\) −74.5514 35.9021i −0.193216 0.0930477i 0.334774 0.942298i \(-0.391340\pi\)
−0.527990 + 0.849251i \(0.677054\pi\)
\(54\) −792.647 + 993.948i −1.99751 + 2.50480i
\(55\) −14.2350 17.8501i −0.0348990 0.0437619i
\(56\) −176.235 + 201.520i −0.420544 + 0.480879i
\(57\) −524.764 + 658.034i −1.21942 + 1.52910i
\(58\) 72.8233 + 319.060i 0.164865 + 0.722320i
\(59\) 479.843 + 601.704i 1.05882 + 1.32772i 0.942390 + 0.334517i \(0.108573\pi\)
0.116428 + 0.993199i \(0.462856\pi\)
\(60\) 12.6004 55.2059i 0.0271117 0.118784i
\(61\) 240.438 115.789i 0.504671 0.243037i −0.164184 0.986430i \(-0.552499\pi\)
0.668855 + 0.743393i \(0.266785\pi\)
\(62\) −18.9689 + 83.1083i −0.0388557 + 0.170238i
\(63\) −216.012 1193.63i −0.431984 2.38704i
\(64\) −20.9216 91.6634i −0.0408624 0.179030i
\(65\) 67.7152 + 84.9122i 0.129216 + 0.162032i
\(66\) −437.299 + 210.592i −0.815572 + 0.392759i
\(67\) 730.850 1.33265 0.666325 0.745662i \(-0.267867\pi\)
0.666325 + 0.745662i \(0.267867\pi\)
\(68\) 268.096 0.478110
\(69\) 652.477 314.216i 1.13839 0.548221i
\(70\) 58.0256 + 79.9471i 0.0990769 + 0.136507i
\(71\) 978.237 + 471.094i 1.63515 + 0.787445i 0.999885 + 0.0151471i \(0.00482166\pi\)
0.635261 + 0.772298i \(0.280893\pi\)
\(72\) 853.001 + 410.783i 1.39621 + 0.672379i
\(73\) −2.23303 9.78354i −0.00358022 0.0156860i 0.973106 0.230357i \(-0.0739893\pi\)
−0.976686 + 0.214671i \(0.931132\pi\)
\(74\) 100.539 + 440.488i 0.157937 + 0.691969i
\(75\) −1062.23 511.542i −1.63541 0.787570i
\(76\) −298.846 143.917i −0.451053 0.217216i
\(77\) 72.5433 262.357i 0.107365 0.388290i
\(78\) 2080.22 1001.78i 3.01972 1.45422i
\(79\) −782.975 −1.11508 −0.557541 0.830149i \(-0.688255\pi\)
−0.557541 + 0.830149i \(0.688255\pi\)
\(80\) −124.204 −0.173580
\(81\) −1614.92 + 777.704i −2.21525 + 1.06681i
\(82\) −925.922 1161.07i −1.24696 1.56364i
\(83\) −136.595 598.460i −0.180641 0.791440i −0.981326 0.192354i \(-0.938388\pi\)
0.800685 0.599086i \(-0.204469\pi\)
\(84\) 620.915 265.035i 0.806516 0.344258i
\(85\) −24.4500 + 107.122i −0.0311997 + 0.136695i
\(86\) 25.7101 12.3813i 0.0322371 0.0155246i
\(87\) −203.973 + 893.664i −0.251358 + 1.10127i
\(88\) 132.462 + 166.102i 0.160460 + 0.201211i
\(89\) −95.1237 416.764i −0.113293 0.496370i −0.999456 0.0329948i \(-0.989496\pi\)
0.886162 0.463375i \(-0.153362\pi\)
\(90\) 217.818 273.136i 0.255112 0.319900i
\(91\) −345.086 + 1248.02i −0.397526 + 1.43767i
\(92\) 177.946 + 223.137i 0.201654 + 0.252866i
\(93\) −148.869 + 186.675i −0.165989 + 0.208143i
\(94\) 11.0043 + 5.29942i 0.0120746 + 0.00581482i
\(95\) 84.7587 106.284i 0.0915374 0.114784i
\(96\) −340.071 + 1489.95i −0.361545 + 1.58403i
\(97\) −955.283 −0.999941 −0.499970 0.866042i \(-0.666656\pi\)
−0.499970 + 0.866042i \(0.666656\pi\)
\(98\) −365.036 + 1119.76i −0.376268 + 1.15421i
\(99\) −962.641 −0.977263
\(100\) 103.391 452.984i 0.103391 0.452984i
\(101\) −135.824 + 170.318i −0.133812 + 0.167795i −0.844223 0.535992i \(-0.819938\pi\)
0.710411 + 0.703787i \(0.248509\pi\)
\(102\) 2104.55 + 1013.50i 2.04296 + 0.983836i
\(103\) 870.829 1091.98i 0.833061 1.04463i −0.165234 0.986254i \(-0.552838\pi\)
0.998295 0.0583715i \(-0.0185908\pi\)
\(104\) −630.118 790.143i −0.594117 0.744999i
\(105\) 49.2725 + 272.268i 0.0457953 + 0.253053i
\(106\) 177.148 222.137i 0.162322 0.203546i
\(107\) −15.4305 67.6057i −0.0139414 0.0610812i 0.967479 0.252952i \(-0.0814016\pi\)
−0.981420 + 0.191871i \(0.938544\pi\)
\(108\) −874.953 1097.16i −0.779559 0.977536i
\(109\) 12.0563 52.8222i 0.0105944 0.0464170i −0.969354 0.245666i \(-0.920993\pi\)
0.979949 + 0.199249i \(0.0638504\pi\)
\(110\) 70.6315 34.0143i 0.0612222 0.0294831i
\(111\) −281.601 + 1233.78i −0.240797 + 1.05500i
\(112\) −869.813 1198.42i −0.733836 1.01107i
\(113\) −439.414 1925.20i −0.365810 1.60272i −0.738159 0.674626i \(-0.764305\pi\)
0.372349 0.928093i \(-0.378552\pi\)
\(114\) −1801.88 2259.49i −1.48036 1.85632i
\(115\) −105.387 + 50.7515i −0.0854552 + 0.0411530i
\(116\) −361.247 −0.289146
\(117\) 4579.25 3.61839
\(118\) −2380.90 + 1146.58i −1.85745 + 0.894503i
\(119\) −1204.83 + 514.277i −0.928125 + 0.396166i
\(120\) −194.570 93.6999i −0.148014 0.0712799i
\(121\) 1004.57 + 483.773i 0.754745 + 0.363466i
\(122\) 203.904 + 893.361i 0.151316 + 0.662960i
\(123\) −925.589 4055.27i −0.678517 2.97278i
\(124\) −84.7787 40.8273i −0.0613980 0.0295677i
\(125\) 346.514 + 166.872i 0.247945 + 0.119404i
\(126\) 4160.85 + 188.892i 2.94189 + 0.133554i
\(127\) −941.557 + 453.430i −0.657872 + 0.316814i −0.732869 0.680369i \(-0.761819\pi\)
0.0749977 + 0.997184i \(0.476105\pi\)
\(128\) 1594.07 1.10076
\(129\) 79.9274 0.0545521
\(130\) −335.991 + 161.805i −0.226680 + 0.109163i
\(131\) −928.799 1164.68i −0.619462 0.776781i 0.368807 0.929506i \(-0.379766\pi\)
−0.988269 + 0.152725i \(0.951195\pi\)
\(132\) −119.219 522.331i −0.0786111 0.344418i
\(133\) 1619.09 + 73.5027i 1.05559 + 0.0479210i
\(134\) −558.419 + 2446.59i −0.360000 + 1.57726i
\(135\) 518.182 249.543i 0.330355 0.159091i
\(136\) 227.517 996.818i 0.143452 0.628503i
\(137\) 859.794 + 1078.15i 0.536183 + 0.672353i 0.973957 0.226732i \(-0.0728043\pi\)
−0.437774 + 0.899085i \(0.644233\pi\)
\(138\) 553.334 + 2424.32i 0.341326 + 1.49545i
\(139\) 1018.71 1277.42i 0.621622 0.779489i −0.366950 0.930241i \(-0.619598\pi\)
0.988572 + 0.150752i \(0.0481694\pi\)
\(140\) −100.289 + 42.8077i −0.0605424 + 0.0258422i
\(141\) 21.3298 + 26.7467i 0.0127397 + 0.0159750i
\(142\) −2324.48 + 2914.80i −1.37370 + 1.72257i
\(143\) 925.822 + 445.852i 0.541406 + 0.260728i
\(144\) −3265.13 + 4094.35i −1.88955 + 2.36941i
\(145\) 32.9452 144.342i 0.0188686 0.0826688i
\(146\) 34.4576 0.0195324
\(147\) −2282.00 + 2382.15i −1.28038 + 1.33657i
\(148\) −498.732 −0.276996
\(149\) −131.088 + 574.334i −0.0720748 + 0.315780i −0.998095 0.0616932i \(-0.980350\pi\)
0.926020 + 0.377474i \(0.123207\pi\)
\(150\) 2524.05 3165.06i 1.37392 1.72284i
\(151\) 55.3602 + 26.6601i 0.0298354 + 0.0143680i 0.448742 0.893661i \(-0.351872\pi\)
−0.418907 + 0.908029i \(0.637587\pi\)
\(152\) −788.714 + 989.017i −0.420876 + 0.527762i
\(153\) 2888.51 + 3622.08i 1.52629 + 1.91391i
\(154\) 822.839 + 443.305i 0.430560 + 0.231964i
\(155\) 24.0449 30.1514i 0.0124602 0.0156246i
\(156\) 567.119 + 2484.71i 0.291063 + 1.27523i
\(157\) −1050.95 1317.85i −0.534235 0.669910i 0.439328 0.898327i \(-0.355217\pi\)
−0.973563 + 0.228417i \(0.926645\pi\)
\(158\) 598.246 2621.09i 0.301227 1.31976i
\(159\) 717.001 345.289i 0.357622 0.172222i
\(160\) 54.9274 240.653i 0.0271400 0.118908i
\(161\) −1227.73 661.438i −0.600984 0.323780i
\(162\) −1369.54 6000.33i −0.664203 2.91006i
\(163\) 2512.15 + 3150.13i 1.20716 + 1.51373i 0.799585 + 0.600553i \(0.205053\pi\)
0.407572 + 0.913173i \(0.366376\pi\)
\(164\) 1476.93 711.252i 0.703225 0.338655i
\(165\) 219.579 0.103601
\(166\) 2107.77 0.985511
\(167\) 2299.40 1107.33i 1.06547 0.513102i 0.182824 0.983146i \(-0.441476\pi\)
0.882643 + 0.470044i \(0.155762\pi\)
\(168\) −458.501 2533.56i −0.210560 1.16350i
\(169\) −2424.67 1167.66i −1.10363 0.531480i
\(170\) −339.922 163.698i −0.153358 0.0738532i
\(171\) −1275.45 5588.11i −0.570386 2.49902i
\(172\) 7.00921 + 30.7094i 0.00310725 + 0.0136138i
\(173\) −905.194 435.918i −0.397807 0.191574i 0.224275 0.974526i \(-0.427999\pi\)
−0.622082 + 0.782952i \(0.713713\pi\)
\(174\) −2835.78 1365.64i −1.23552 0.594994i
\(175\) 404.299 + 2234.05i 0.174641 + 0.965020i
\(176\) −1058.78 + 509.880i −0.453457 + 0.218373i
\(177\) −7401.73 −3.14321
\(178\) 1467.84 0.618086
\(179\) 1267.36 610.329i 0.529201 0.254850i −0.150150 0.988663i \(-0.547976\pi\)
0.679351 + 0.733813i \(0.262261\pi\)
\(180\) 240.436 + 301.497i 0.0995614 + 0.124846i
\(181\) 443.730 + 1944.11i 0.182222 + 0.798367i 0.980570 + 0.196170i \(0.0628505\pi\)
−0.798348 + 0.602197i \(0.794292\pi\)
\(182\) −3914.22 2108.79i −1.59418 0.858866i
\(183\) −571.120 + 2502.24i −0.230702 + 1.01077i
\(184\) 980.665 472.263i 0.392911 0.189216i
\(185\) 45.4836 199.277i 0.0180758 0.0791952i
\(186\) −511.169 640.986i −0.201509 0.252685i
\(187\) 231.334 + 1013.54i 0.0904642 + 0.396350i
\(188\) −8.40599 + 10.5408i −0.00326101 + 0.00408918i
\(189\) 6036.69 + 3252.27i 2.32330 + 1.25168i
\(190\) 291.035 + 364.947i 0.111126 + 0.139347i
\(191\) 1748.22 2192.19i 0.662285 0.830479i −0.331305 0.943524i \(-0.607489\pi\)
0.993590 + 0.113045i \(0.0360603\pi\)
\(192\) 814.698 + 392.338i 0.306228 + 0.147472i
\(193\) −1093.37 + 1371.04i −0.407783 + 0.511344i −0.942737 0.333537i \(-0.891758\pi\)
0.534953 + 0.844882i \(0.320329\pi\)
\(194\) 729.901 3197.91i 0.270123 1.18349i
\(195\) −1044.53 −0.383591
\(196\) −1115.38 667.881i −0.406479 0.243397i
\(197\) 281.793 0.101913 0.0509567 0.998701i \(-0.483773\pi\)
0.0509567 + 0.998701i \(0.483773\pi\)
\(198\) 735.524 3222.54i 0.263997 1.15665i
\(199\) 2355.98 2954.30i 0.839250 1.05239i −0.158632 0.987338i \(-0.550708\pi\)
0.997882 0.0650488i \(-0.0207203\pi\)
\(200\) −1596.51 768.841i −0.564453 0.271826i
\(201\) −4382.49 + 5495.47i −1.53790 + 1.92846i
\(202\) −466.379 584.821i −0.162447 0.203702i
\(203\) 1623.45 692.964i 0.561301 0.239589i
\(204\) −1607.62 + 2015.89i −0.551745 + 0.691867i
\(205\) 149.499 + 654.998i 0.0509340 + 0.223156i
\(206\) 2990.16 + 3749.54i 1.01133 + 1.26817i
\(207\) −1097.45 + 4808.23i −0.368492 + 1.61447i
\(208\) 5036.57 2425.48i 1.67896 0.808543i
\(209\) 286.211 1253.97i 0.0947255 0.415019i
\(210\) −949.092 43.0864i −0.311874 0.0141583i
\(211\) 221.526 + 970.571i 0.0722773 + 0.316667i 0.998123 0.0612330i \(-0.0195033\pi\)
−0.925846 + 0.377900i \(0.876646\pi\)
\(212\) 195.543 + 245.203i 0.0633488 + 0.0794368i
\(213\) −9408.22 + 4530.76i −3.02648 + 1.45748i
\(214\) 238.107 0.0760591
\(215\) −12.9097 −0.00409504
\(216\) −4821.90 + 2322.10i −1.51893 + 0.731477i
\(217\) 459.315 + 20.8517i 0.143688 + 0.00652308i
\(218\) 167.616 + 80.7196i 0.0520752 + 0.0250781i
\(219\) 86.9555 + 41.8755i 0.0268306 + 0.0129209i
\(220\) 19.2559 + 84.3657i 0.00590106 + 0.0258543i
\(221\) −1100.45 4821.37i −0.334951 1.46751i
\(222\) −3915.03 1885.38i −1.18360 0.569993i
\(223\) −5341.03 2572.11i −1.60387 0.772381i −0.604166 0.796859i \(-0.706494\pi\)
−0.999700 + 0.0244775i \(0.992208\pi\)
\(224\) 2706.68 1155.33i 0.807356 0.344616i
\(225\) 7233.94 3483.68i 2.14339 1.03220i
\(226\) 6780.53 1.99573
\(227\) 740.289 0.216453 0.108226 0.994126i \(-0.465483\pi\)
0.108226 + 0.994126i \(0.465483\pi\)
\(228\) 2874.16 1384.12i 0.834851 0.402043i
\(229\) 1896.50 + 2378.14i 0.547268 + 0.686253i 0.976147 0.217109i \(-0.0696628\pi\)
−0.428879 + 0.903362i \(0.641091\pi\)
\(230\) −89.3732 391.570i −0.0256222 0.112258i
\(231\) 1537.74 + 2118.68i 0.437990 + 0.603459i
\(232\) −306.569 + 1343.17i −0.0867553 + 0.380100i
\(233\) 567.928 273.500i 0.159683 0.0768994i −0.352335 0.935874i \(-0.614612\pi\)
0.512018 + 0.858975i \(0.328898\pi\)
\(234\) −3498.86 + 15329.5i −0.977468 + 4.28257i
\(235\) −3.44513 4.32006i −0.000956322 0.00119919i
\(236\) −649.093 2843.86i −0.179036 0.784406i
\(237\) 4695.06 5887.41i 1.28682 1.61362i
\(238\) −801.021 4426.24i −0.218162 1.20551i
\(239\) −1534.87 1924.66i −0.415407 0.520903i 0.529471 0.848328i \(-0.322391\pi\)
−0.944877 + 0.327425i \(0.893819\pi\)
\(240\) 744.779 933.923i 0.200314 0.251185i
\(241\) −1525.91 734.840i −0.407853 0.196412i 0.218697 0.975793i \(-0.429819\pi\)
−0.626550 + 0.779381i \(0.715534\pi\)
\(242\) −2387.04 + 2993.25i −0.634068 + 0.795096i
\(243\) 1611.52 7060.52i 0.425427 1.86392i
\(244\) −1011.48 −0.265384
\(245\) 368.584 384.758i 0.0961141 0.100332i
\(246\) 14282.6 3.70174
\(247\) −1361.50 + 5965.10i −0.350728 + 1.53664i
\(248\) −223.748 + 280.571i −0.0572903 + 0.0718398i
\(249\) 5319.07 + 2561.53i 1.35374 + 0.651929i
\(250\) −823.383 + 1032.49i −0.208301 + 0.261201i
\(251\) 230.833 + 289.455i 0.0580480 + 0.0727898i 0.810008 0.586419i \(-0.199463\pi\)
−0.751960 + 0.659209i \(0.770891\pi\)
\(252\) −1225.29 + 4431.35i −0.306295 + 1.10773i
\(253\) −690.026 + 865.265i −0.171469 + 0.215015i
\(254\) −798.489 3498.41i −0.197251 0.864212i
\(255\) −658.872 826.199i −0.161804 0.202896i
\(256\) −1050.61 + 4603.00i −0.256496 + 1.12378i
\(257\) −2988.94 + 1439.40i −0.725466 + 0.349366i −0.759899 0.650041i \(-0.774752\pi\)
0.0344333 + 0.999407i \(0.489037\pi\)
\(258\) −61.0700 + 267.565i −0.0147366 + 0.0645654i
\(259\) 2241.31 956.694i 0.537716 0.229522i
\(260\) −91.5998 401.325i −0.0218491 0.0957273i
\(261\) −3892.14 4880.58i −0.923054 1.15747i
\(262\) 4608.54 2219.36i 1.08670 0.523329i
\(263\) 1072.34 0.251420 0.125710 0.992067i \(-0.459879\pi\)
0.125710 + 0.992067i \(0.459879\pi\)
\(264\) −2043.27 −0.476344
\(265\) −115.808 + 55.7703i −0.0268454 + 0.0129281i
\(266\) −1483.15 + 5363.91i −0.341872 + 1.23640i
\(267\) 3704.17 + 1783.83i 0.849032 + 0.408872i
\(268\) −2495.77 1201.90i −0.568855 0.273946i
\(269\) −3.06071 13.4098i −0.000693735 0.00303945i 0.974580 0.224040i \(-0.0719248\pi\)
−0.975274 + 0.221001i \(0.929068\pi\)
\(270\) 439.445 + 1925.33i 0.0990510 + 0.433971i
\(271\) −5465.46 2632.03i −1.22510 0.589979i −0.294376 0.955690i \(-0.595112\pi\)
−0.930729 + 0.365711i \(0.880826\pi\)
\(272\) 5095.48 + 2453.86i 1.13588 + 0.547010i
\(273\) −7314.96 10078.5i −1.62169 2.23435i
\(274\) −4266.15 + 2054.47i −0.940611 + 0.452974i
\(275\) 1801.72 0.395084
\(276\) −2744.87 −0.598630
\(277\) 1621.87 781.052i 0.351801 0.169418i −0.249634 0.968340i \(-0.580310\pi\)
0.601435 + 0.798922i \(0.294596\pi\)
\(278\) 3497.92 + 4386.25i 0.754645 + 0.946294i
\(279\) −361.828 1585.27i −0.0776418 0.340171i
\(280\) 74.0560 + 409.215i 0.0158060 + 0.0873403i
\(281\) −140.267 + 614.549i −0.0297780 + 0.130466i −0.987632 0.156789i \(-0.949886\pi\)
0.957854 + 0.287255i \(0.0927428\pi\)
\(282\) −105.835 + 50.9673i −0.0223488 + 0.0107626i
\(283\) −157.145 + 688.498i −0.0330082 + 0.144618i −0.988747 0.149599i \(-0.952202\pi\)
0.955739 + 0.294217i \(0.0950589\pi\)
\(284\) −2565.84 3217.46i −0.536108 0.672258i
\(285\) 290.931 + 1274.65i 0.0604675 + 0.264925i
\(286\) −2199.93 + 2758.62i −0.454841 + 0.570352i
\(287\) −5273.00 + 6029.52i −1.08451 + 1.24011i
\(288\) −6489.10 8137.08i −1.32769 1.66487i
\(289\) 56.2480 70.5328i 0.0114488 0.0143564i
\(290\) 458.028 + 220.575i 0.0927460 + 0.0446641i
\(291\) 5728.29 7183.05i 1.15395 1.44700i
\(292\) −8.46371 + 37.0819i −0.00169624 + 0.00743170i
\(293\) 6480.13 1.29206 0.646029 0.763313i \(-0.276428\pi\)
0.646029 + 0.763313i \(0.276428\pi\)
\(294\) −6230.87 9459.37i −1.23603 1.87647i
\(295\) 1195.51 0.235950
\(296\) −423.244 + 1854.35i −0.0831099 + 0.364128i
\(297\) 3392.83 4254.48i 0.662869 0.831211i
\(298\) −1822.48 877.661i −0.354273 0.170609i
\(299\) 3282.43 4116.03i 0.634875 0.796108i
\(300\) 2786.14 + 3493.71i 0.536194 + 0.672365i
\(301\) −90.4080 124.563i −0.0173124 0.0238529i
\(302\) −131.546 + 164.954i −0.0250650 + 0.0314305i
\(303\) −466.211 2042.60i −0.0883932 0.387276i
\(304\) −4362.67 5470.61i −0.823079 1.03211i
\(305\) 92.2459 404.156i 0.0173180 0.0758751i
\(306\) −14332.3 + 6902.08i −2.67753 + 1.28943i
\(307\) −1469.08 + 6436.45i −0.273110 + 1.19657i 0.633210 + 0.773980i \(0.281737\pi\)
−0.906320 + 0.422592i \(0.861120\pi\)
\(308\) −679.179 + 776.620i −0.125649 + 0.143675i
\(309\) 2989.08 + 13096.0i 0.550301 + 2.41103i
\(310\) 82.5628 + 103.530i 0.0151266 + 0.0189682i
\(311\) −1339.46 + 645.049i −0.244224 + 0.117612i −0.551992 0.833849i \(-0.686132\pi\)
0.307768 + 0.951461i \(0.400418\pi\)
\(312\) 9719.78 1.76370
\(313\) −4584.71 −0.827934 −0.413967 0.910292i \(-0.635857\pi\)
−0.413967 + 0.910292i \(0.635857\pi\)
\(314\) 5214.63 2511.23i 0.937193 0.451329i
\(315\) −1658.88 893.720i −0.296721 0.159858i
\(316\) 2673.77 + 1287.62i 0.475985 + 0.229222i
\(317\) −1003.81 483.407i −0.177853 0.0856494i 0.342839 0.939394i \(-0.388612\pi\)
−0.520692 + 0.853745i \(0.674326\pi\)
\(318\) 608.054 + 2664.06i 0.107226 + 0.469789i
\(319\) −311.711 1365.70i −0.0547100 0.239700i
\(320\) −131.588 63.3695i −0.0229875 0.0110702i
\(321\) 600.875 + 289.366i 0.104478 + 0.0503141i
\(322\) 3152.30 3604.56i 0.545561 0.623833i
\(323\) −5577.07 + 2685.77i −0.960732 + 0.462664i
\(324\) 6793.72 1.16490
\(325\) −8570.73 −1.46283
\(326\) −12464.8 + 6002.75i −2.11768 + 1.01982i
\(327\) 324.891 + 407.400i 0.0549434 + 0.0688969i
\(328\) −1391.15 6095.02i −0.234187 1.02604i
\(329\) 17.5569 63.4954i 0.00294207 0.0106402i
\(330\) −167.773 + 735.063i −0.0279867 + 0.122618i
\(331\) −4409.94 + 2123.71i −0.732303 + 0.352658i −0.762589 0.646883i \(-0.776072\pi\)
0.0302867 + 0.999541i \(0.490358\pi\)
\(332\) −517.726 + 2268.30i −0.0855840 + 0.374968i
\(333\) −5373.42 6738.05i −0.884268 1.10884i
\(334\) 1950.01 + 8543.56i 0.319461 + 1.39965i
\(335\) 707.849 887.615i 0.115445 0.144763i
\(336\) 14227.0 + 645.872i 2.30997 + 0.104867i
\(337\) −6416.18 8045.63i −1.03713 1.30051i −0.952643 0.304090i \(-0.901648\pi\)
−0.0844826 0.996425i \(-0.526924\pi\)
\(338\) 5761.48 7224.67i 0.927169 1.16263i
\(339\) 17111.0 + 8240.23i 2.74142 + 1.32020i
\(340\) 259.659 325.602i 0.0414176 0.0519361i
\(341\) 81.1942 355.735i 0.0128942 0.0564931i
\(342\) 19681.3 3.11182
\(343\) 6293.71 + 861.895i 0.990753 + 0.135679i
\(344\) 120.130 0.0188284
\(345\) 250.328 1096.76i 0.0390644 0.171152i
\(346\) 2150.91 2697.16i 0.334201 0.419075i
\(347\) 1182.06 + 569.248i 0.182871 + 0.0880659i 0.523079 0.852284i \(-0.324783\pi\)
−0.340208 + 0.940350i \(0.610498\pi\)
\(348\) 2166.19 2716.32i 0.333679 0.418420i
\(349\) −4731.16 5932.68i −0.725654 0.909941i 0.272990 0.962017i \(-0.411988\pi\)
−0.998643 + 0.0520762i \(0.983416\pi\)
\(350\) −7787.63 353.539i −1.18933 0.0539927i
\(351\) −16139.6 + 20238.4i −2.45432 + 3.07762i
\(352\) −519.696 2276.94i −0.0786929 0.344776i
\(353\) 2211.11 + 2772.65i 0.333387 + 0.418054i 0.920065 0.391766i \(-0.128136\pi\)
−0.586678 + 0.809821i \(0.699564\pi\)
\(354\) 5655.43 24778.1i 0.849104 3.72017i
\(355\) 1519.59 731.798i 0.227188 0.109408i
\(356\) −360.541 + 1579.63i −0.0536760 + 0.235170i
\(357\) 3357.70 12143.3i 0.497782 1.80026i
\(358\) 1074.79 + 4708.95i 0.158671 + 0.695184i
\(359\) 4992.56 + 6260.47i 0.733976 + 0.920377i 0.999038 0.0438547i \(-0.0139639\pi\)
−0.265062 + 0.964231i \(0.585392\pi\)
\(360\) 1325.05 638.111i 0.193990 0.0934206i
\(361\) 799.488 0.116560
\(362\) −6847.14 −0.994137
\(363\) −9661.43 + 4652.70i −1.39695 + 0.672737i
\(364\) 3230.83 3694.36i 0.465224 0.531969i
\(365\) −14.0448 6.76364i −0.00201408 0.000969931i
\(366\) −7940.13 3823.76i −1.13398 0.546097i
\(367\) −1060.66 4647.04i −0.150860 0.660963i −0.992636 0.121135i \(-0.961347\pi\)
0.841776 0.539828i \(-0.181511\pi\)
\(368\) 1339.72 + 5869.70i 0.189776 + 0.831465i
\(369\) 25522.0 + 12290.7i 3.60060 + 1.73396i
\(370\) 632.346 + 304.522i 0.0888489 + 0.0427874i
\(371\) −1349.14 726.848i −0.188797 0.101714i
\(372\) 815.361 392.657i 0.113641 0.0547267i
\(373\) −7823.76 −1.08606 −0.543028 0.839715i \(-0.682722\pi\)
−0.543028 + 0.839715i \(0.682722\pi\)
\(374\) −3569.68 −0.493540
\(375\) −3332.61 + 1604.90i −0.458921 + 0.221004i
\(376\) 32.0584 + 40.1999i 0.00439703 + 0.00551371i
\(377\) 1482.80 + 6496.57i 0.202568 + 0.887508i
\(378\) −15499.7 + 17723.5i −2.10905 + 2.41163i
\(379\) 1964.16 8605.54i 0.266206 1.16632i −0.648182 0.761485i \(-0.724471\pi\)
0.914388 0.404839i \(-0.132672\pi\)
\(380\) −464.228 + 223.560i −0.0626694 + 0.0301800i
\(381\) 2236.51 9798.80i 0.300735 1.31761i
\(382\) 6002.83 + 7527.31i 0.804009 + 1.00820i
\(383\) 1229.98 + 5388.87i 0.164096 + 0.718952i 0.988283 + 0.152634i \(0.0487755\pi\)
−0.824187 + 0.566318i \(0.808367\pi\)
\(384\) −9558.73 + 11986.3i −1.27029 + 1.59290i
\(385\) −248.372 342.204i −0.0328784 0.0452996i
\(386\) −3754.28 4707.72i −0.495046 0.620768i
\(387\) −339.377 + 425.565i −0.0445775 + 0.0558984i
\(388\) 3262.18 + 1570.98i 0.426835 + 0.205553i
\(389\) 4641.79 5820.62i 0.605008 0.758656i −0.381141 0.924517i \(-0.624469\pi\)
0.986149 + 0.165861i \(0.0530402\pi\)
\(390\) 798.092 3496.67i 0.103623 0.454002i
\(391\) 5326.19 0.688892
\(392\) −3429.83 + 3580.34i −0.441919 + 0.461312i
\(393\) 14327.0 1.83894
\(394\) −215.309 + 943.332i −0.0275308 + 0.120620i
\(395\) −758.334 + 950.921i −0.0965973 + 0.121129i
\(396\) 3287.31 + 1583.08i 0.417155 + 0.200891i
\(397\) 3936.55 4936.28i 0.497657 0.624042i −0.468042 0.883706i \(-0.655040\pi\)
0.965699 + 0.259664i \(0.0836119\pi\)
\(398\) 8089.70 + 10144.2i 1.01884 + 1.27759i
\(399\) −10261.5 + 11733.7i −1.28751 + 1.47223i
\(400\) 6111.17 7663.17i 0.763897 0.957896i
\(401\) −3106.25 13609.4i −0.386829 1.69481i −0.675482 0.737376i \(-0.736065\pi\)
0.288653 0.957434i \(-0.406793\pi\)
\(402\) −15048.1 18869.7i −1.86699 2.34114i
\(403\) −386.238 + 1692.22i −0.0477417 + 0.209170i
\(404\) 743.917 358.252i 0.0916120 0.0441180i
\(405\) −619.577 + 2714.54i −0.0760174 + 0.333054i
\(406\) 1079.34 + 5964.15i 0.131937 + 0.729054i
\(407\) −430.343 1885.46i −0.0524111 0.229628i
\(408\) 6131.07 + 7688.12i 0.743954 + 0.932889i
\(409\) −1977.53 + 952.327i −0.239077 + 0.115133i −0.549586 0.835437i \(-0.685215\pi\)
0.310509 + 0.950570i \(0.399500\pi\)
\(410\) −2306.90 −0.277877
\(411\) −13262.6 −1.59172
\(412\) −4769.57 + 2296.91i −0.570340 + 0.274661i
\(413\) 8372.30 + 11535.3i 0.997516 + 1.37437i
\(414\) −15257.5 7347.63i −1.81127 0.872262i
\(415\) −859.123 413.732i −0.101621 0.0489381i
\(416\) 2472.18 + 10831.3i 0.291366 + 1.27656i
\(417\) 3496.66 + 15319.9i 0.410629 + 1.79908i
\(418\) 3979.11 + 1916.24i 0.465610 + 0.224226i
\(419\) −1299.32 625.720i −0.151494 0.0729556i 0.356601 0.934257i \(-0.383936\pi\)
−0.508095 + 0.861301i \(0.669650\pi\)
\(420\) 279.490 1010.79i 0.0324708 0.117432i
\(421\) −1511.51 + 727.904i −0.174980 + 0.0842657i −0.519323 0.854578i \(-0.673816\pi\)
0.344343 + 0.938844i \(0.388102\pi\)
\(422\) −3418.34 −0.394319
\(423\) −232.977 −0.0267796
\(424\) 1077.64 518.966i 0.123432 0.0594415i
\(425\) −5406.28 6779.25i −0.617042 0.773746i
\(426\) −7978.66 34956.8i −0.907435 3.97573i
\(427\) 4545.64 1940.29i 0.515173 0.219899i
\(428\) −58.4854 + 256.241i −0.00660514 + 0.0289390i
\(429\) −8904.12 + 4288.00i −1.00209 + 0.482579i
\(430\) 9.86388 43.2165i 0.00110623 0.00484670i
\(431\) 5308.01 + 6656.03i 0.593220 + 0.743874i 0.984304 0.176481i \(-0.0564714\pi\)
−0.391084 + 0.920355i \(0.627900\pi\)
\(432\) −6587.35 28861.1i −0.733644 3.21430i
\(433\) 2484.33 3115.25i 0.275726 0.345749i −0.624617 0.780932i \(-0.714745\pi\)
0.900342 + 0.435183i \(0.143316\pi\)
\(434\) −420.751 + 1521.67i −0.0465362 + 0.168301i
\(435\) 887.798 + 1113.26i 0.0978544 + 0.122706i
\(436\) −128.038 + 160.555i −0.0140640 + 0.0176358i
\(437\) −5937.09 2859.15i −0.649907 0.312979i
\(438\) −206.623 + 259.097i −0.0225407 + 0.0282651i
\(439\) 60.0056 262.902i 0.00652372 0.0285823i −0.971561 0.236788i \(-0.923905\pi\)
0.978085 + 0.208206i \(0.0667624\pi\)
\(440\) 330.024 0.0357575
\(441\) −2993.95 22265.0i −0.323286 2.40417i
\(442\) 16980.9 1.82737
\(443\) 1479.17 6480.68i 0.158640 0.695049i −0.831565 0.555428i \(-0.812554\pi\)
0.990205 0.139621i \(-0.0445884\pi\)
\(444\) 2990.61 3750.11i 0.319658 0.400838i
\(445\) −598.289 288.121i −0.0637339 0.0306927i
\(446\) 12691.3 15914.4i 1.34742 1.68961i
\(447\) −3532.52 4429.64i −0.373786 0.468713i
\(448\) −310.085 1713.46i −0.0327012 0.180699i
\(449\) 10595.8 13286.7i 1.11369 1.39652i 0.205139 0.978733i \(-0.434235\pi\)
0.908546 0.417784i \(-0.137193\pi\)
\(450\) 6134.75 + 26878.1i 0.642655 + 2.81566i
\(451\) 3963.30 + 4969.82i 0.413802 + 0.518891i
\(452\) −1665.48 + 7296.95i −0.173313 + 0.759336i
\(453\) −532.428 + 256.404i −0.0552222 + 0.0265936i
\(454\) −565.632 + 2478.19i −0.0584723 + 0.256184i
\(455\) 1181.50 + 1627.85i 0.121735 + 0.167725i
\(456\) −2707.23 11861.1i −0.278021 1.21809i
\(457\) −1729.21 2168.36i −0.177000 0.221951i 0.685415 0.728152i \(-0.259621\pi\)
−0.862415 + 0.506201i \(0.831049\pi\)
\(458\) −9410.12 + 4531.68i −0.960057 + 0.462339i
\(459\) −26188.7 −2.66314
\(460\) 443.345 0.0449371
\(461\) −5046.25 + 2430.15i −0.509821 + 0.245517i −0.671066 0.741398i \(-0.734163\pi\)
0.161245 + 0.986914i \(0.448449\pi\)
\(462\) −8267.43 + 3528.92i −0.832545 + 0.355368i
\(463\) 16134.1 + 7769.78i 1.61947 + 0.779897i 0.999987 0.00511115i \(-0.00162694\pi\)
0.619486 + 0.785008i \(0.287341\pi\)
\(464\) −6865.92 3306.45i −0.686945 0.330815i
\(465\) 82.5331 + 361.601i 0.00823093 + 0.0360620i
\(466\) 481.632 + 2110.17i 0.0478781 + 0.209768i
\(467\) −5329.41 2566.51i −0.528085 0.254312i 0.150790 0.988566i \(-0.451818\pi\)
−0.678876 + 0.734253i \(0.737532\pi\)
\(468\) −15637.6 7530.68i −1.54455 0.743816i
\(469\) 13521.6 + 613.846i 1.33128 + 0.0604367i
\(470\) 17.0942 8.23211i 0.00167765 0.000807913i
\(471\) 16211.2 1.58593
\(472\) −11124.7 −1.08487
\(473\) −110.049 + 52.9968i −0.0106978 + 0.00515178i
\(474\) 16121.4 + 20215.6i 1.56219 + 1.95893i
\(475\) 2387.19 + 10459.0i 0.230593 + 1.01029i
\(476\) 4960.11 + 225.176i 0.477618 + 0.0216826i
\(477\) −1205.97 + 5283.71i −0.115760 + 0.507180i
\(478\) 7615.74 3667.55i 0.728736 0.350941i
\(479\) −4076.23 + 17859.1i −0.388826 + 1.70356i 0.279884 + 0.960034i \(0.409704\pi\)
−0.668710 + 0.743523i \(0.733153\pi\)
\(480\) 1480.17 + 1856.07i 0.140750 + 0.176495i
\(481\) 2047.13 + 8969.06i 0.194056 + 0.850216i
\(482\) 3625.85 4546.68i 0.342641 0.429659i
\(483\) 12335.5 5265.36i 1.16208 0.496030i
\(484\) −2634.90 3304.06i −0.247455 0.310299i
\(485\) −925.219 + 1160.19i −0.0866228 + 0.108622i
\(486\) 22404.5 + 10789.4i 2.09113 + 1.00703i
\(487\) 2681.25 3362.18i 0.249485 0.312844i −0.641282 0.767306i \(-0.721597\pi\)
0.890766 + 0.454462i \(0.150168\pi\)
\(488\) −858.386 + 3760.84i −0.0796257 + 0.348863i
\(489\) −38750.7 −3.58357
\(490\) 1006.39 + 1527.85i 0.0927842 + 0.140860i
\(491\) −7826.95 −0.719399 −0.359700 0.933068i \(-0.617121\pi\)
−0.359700 + 0.933068i \(0.617121\pi\)
\(492\) −3508.20 + 15370.4i −0.321467 + 1.40844i
\(493\) −4203.32 + 5270.79i −0.383991 + 0.481510i
\(494\) −18928.5 9115.49i −1.72396 0.830213i
\(495\) −932.346 + 1169.12i −0.0846583 + 0.106158i
\(496\) −1237.63 1551.94i −0.112039 0.140492i
\(497\) 17702.9 + 9537.44i 1.59775 + 0.860790i
\(498\) −12639.1 + 15848.9i −1.13729 + 1.42612i
\(499\) −4011.70 17576.4i −0.359896 1.57681i −0.753449 0.657506i \(-0.771611\pi\)
0.393553 0.919302i \(-0.371246\pi\)
\(500\) −908.880 1139.70i −0.0812927 0.101938i
\(501\) −5461.85 + 23929.9i −0.487060 + 2.13395i
\(502\) −1145.35 + 551.573i −0.101832 + 0.0490396i
\(503\) −1325.62 + 5807.92i −0.117508 + 0.514835i 0.881576 + 0.472042i \(0.156483\pi\)
−0.999084 + 0.0427935i \(0.986374\pi\)
\(504\) 15436.5 + 8316.43i 1.36428 + 0.735006i
\(505\) 75.3013 + 329.917i 0.00663537 + 0.0290715i
\(506\) −2369.33 2971.05i −0.208162 0.261026i
\(507\) 23319.4 11230.0i 2.04270 0.983713i
\(508\) 3960.99 0.345945
\(509\) 2005.13 0.174608 0.0873042 0.996182i \(-0.472175\pi\)
0.0873042 + 0.996182i \(0.472175\pi\)
\(510\) 3269.21 1574.37i 0.283849 0.136694i
\(511\) −33.0965 182.883i −0.00286517 0.0158322i
\(512\) −3116.63 1500.89i −0.269017 0.129552i
\(513\) 29192.4 + 14058.3i 2.51243 + 1.20992i
\(514\) −2534.77 11105.6i −0.217518 0.953007i
\(515\) −482.789 2115.24i −0.0413092 0.180987i
\(516\) −272.943 131.442i −0.0232861 0.0112140i
\(517\) −47.1028 22.6835i −0.00400692 0.00192963i
\(518\) 1490.11 + 8234.01i 0.126394 + 0.698420i
\(519\) 8705.73 4192.46i 0.736299 0.354583i
\(520\) −1569.91 −0.132395
\(521\) 13109.4 1.10237 0.551183 0.834385i \(-0.314177\pi\)
0.551183 + 0.834385i \(0.314177\pi\)
\(522\) 19312.1 9300.22i 1.61929 0.779808i
\(523\) −2370.10 2972.01i −0.198159 0.248483i 0.672817 0.739809i \(-0.265084\pi\)
−0.870976 + 0.491325i \(0.836513\pi\)
\(524\) 1256.40 + 5504.67i 0.104745 + 0.458917i
\(525\) −19222.8 10356.3i −1.59801 0.860927i
\(526\) −819.343 + 3589.78i −0.0679184 + 0.297570i
\(527\) −1582.14 + 761.918i −0.130776 + 0.0629785i
\(528\) 2514.95 11018.7i 0.207290 0.908197i
\(529\) −4050.81 5079.55i −0.332934 0.417486i
\(530\) −98.2114 430.292i −0.00804911 0.0352655i
\(531\) 31428.2 39409.8i 2.56849 3.22079i
\(532\) −5408.14 2913.64i −0.440738 0.237448i
\(533\) −18853.3 23641.3i −1.53213 1.92123i
\(534\) −8801.81 + 11037.1i −0.713280 + 0.894425i
\(535\) −97.0518 46.7377i −0.00784283 0.00377691i
\(536\) −6586.83 + 8259.62i −0.530798 + 0.665599i
\(537\) −3010.40 + 13189.4i −0.241915 + 1.05990i
\(538\) 47.2294 0.00378477
\(539\) 1562.49 4792.99i 0.124863 0.383022i
\(540\) −2179.91 −0.173719
\(541\) −2668.16 + 11690.0i −0.212039 + 0.929005i 0.751140 + 0.660143i \(0.229504\pi\)
−0.963179 + 0.268861i \(0.913353\pi\)
\(542\) 12987.0 16285.1i 1.02922 1.29060i
\(543\) −17279.1 8321.18i −1.36559 0.657635i
\(544\) −7007.91 + 8787.65i −0.552320 + 0.692587i
\(545\) −52.4756 65.8023i −0.00412441 0.00517185i
\(546\) 39327.9 16786.9i 3.08256 1.31578i
\(547\) 1528.74 1916.98i 0.119496 0.149843i −0.718486 0.695542i \(-0.755164\pi\)
0.837981 + 0.545699i \(0.183736\pi\)
\(548\) −1163.06 5095.70i −0.0906632 0.397222i
\(549\) −10897.9 13665.5i −0.847197 1.06235i
\(550\) −1376.64 + 6031.45i −0.106727 + 0.467604i
\(551\) 7514.83 3618.95i 0.581021 0.279805i
\(552\) −2329.41 + 10205.8i −0.179613 + 0.786934i
\(553\) −14486.0 657.627i −1.11394 0.0505699i
\(554\) 1375.43 + 6026.16i 0.105481 + 0.462142i
\(555\) 1225.68 + 1536.95i 0.0937427 + 0.117550i
\(556\) −5579.50 + 2686.95i −0.425582 + 0.204949i
\(557\) −18133.9 −1.37946 −0.689729 0.724067i \(-0.742270\pi\)
−0.689729 + 0.724067i \(0.742270\pi\)
\(558\) 5583.32 0.423585
\(559\) 523.499 252.104i 0.0396094 0.0190749i
\(560\) −2297.92 104.320i −0.173401 0.00787198i
\(561\) −9008.28 4338.16i −0.677950 0.326483i
\(562\) −1950.09 939.115i −0.146370 0.0704879i
\(563\) 2483.84 + 10882.4i 0.185935 + 0.814633i 0.978731 + 0.205147i \(0.0657672\pi\)
−0.792796 + 0.609487i \(0.791376\pi\)
\(564\) −28.8532 126.414i −0.00215415 0.00943794i
\(565\) −2763.73 1330.94i −0.205789 0.0991029i
\(566\) −2184.75 1052.12i −0.162247 0.0781340i
\(567\) −30531.2 + 13032.1i −2.26135 + 0.965249i
\(568\) −14140.4 + 6809.68i −1.04458 + 0.503042i
\(569\) 16561.9 1.22023 0.610116 0.792312i \(-0.291123\pi\)
0.610116 + 0.792312i \(0.291123\pi\)
\(570\) −4489.31 −0.329889
\(571\) 15949.4 7680.83i 1.16894 0.562930i 0.254267 0.967134i \(-0.418166\pi\)
0.914669 + 0.404204i \(0.132452\pi\)
\(572\) −2428.36 3045.07i −0.177509 0.222589i
\(573\) 6000.67 + 26290.7i 0.437490 + 1.91677i
\(574\) −16155.5 22258.9i −1.17477 1.61858i
\(575\) 2054.03 8999.30i 0.148972 0.652690i
\(576\) −5548.22 + 2671.88i −0.401347 + 0.193279i
\(577\) 602.607 2640.19i 0.0434781 0.190490i −0.948525 0.316701i \(-0.897425\pi\)
0.992003 + 0.126212i \(0.0402818\pi\)
\(578\) 193.138 + 242.188i 0.0138988 + 0.0174285i
\(579\) −3752.93 16442.7i −0.269372 1.18020i
\(580\) −349.878 + 438.734i −0.0250481 + 0.0314093i
\(581\) −2024.51 11187.0i −0.144563 0.798818i
\(582\) 19669.2 + 24664.4i 1.40088 + 1.75665i
\(583\) −758.262 + 950.831i −0.0538662 + 0.0675461i
\(584\) 130.693 + 62.9384i 0.00926047 + 0.00445961i
\(585\) 4435.14 5561.49i 0.313454 0.393058i
\(586\) −4951.26 + 21692.9i −0.349035 + 1.52922i
\(587\) 2964.26 0.208429 0.104215 0.994555i \(-0.466767\pi\)
0.104215 + 0.994555i \(0.466767\pi\)
\(588\) 11710.3 4381.95i 0.821299 0.307327i
\(589\) 2172.61 0.151988
\(590\) −913.451 + 4002.09i −0.0637393 + 0.279260i
\(591\) −1689.76 + 2118.89i −0.117610 + 0.147478i
\(592\) −9478.97 4564.83i −0.658080 0.316915i
\(593\) −2493.58 + 3126.85i −0.172680 + 0.216534i −0.860639 0.509216i \(-0.829935\pi\)
0.687959 + 0.725750i \(0.258507\pi\)
\(594\) 11649.9 + 14608.6i 0.804718 + 1.00908i
\(595\) −542.327 + 1961.36i −0.0373668 + 0.135139i
\(596\) 1392.16 1745.71i 0.0956794 0.119978i
\(597\) 8086.79 + 35430.5i 0.554389 + 2.42894i
\(598\) 11270.8 + 14133.2i 0.770734 + 0.966470i
\(599\) −5851.25 + 25636.0i −0.399125 + 1.74868i 0.231731 + 0.972780i \(0.425561\pi\)
−0.630856 + 0.775900i \(0.717296\pi\)
\(600\) 15354.5 7394.35i 1.04474 0.503122i
\(601\) 2082.96 9126.06i 0.141374 0.619400i −0.853743 0.520695i \(-0.825673\pi\)
0.995117 0.0987052i \(-0.0314701\pi\)
\(602\) 486.066 207.475i 0.0329079 0.0140466i
\(603\) −10651.7 46668.2i −0.719355 3.15170i
\(604\) −145.206 182.082i −0.00978201 0.0122663i
\(605\) 1560.49 751.493i 0.104864 0.0505001i
\(606\) 7194.04 0.482241
\(607\) −14921.3 −0.997753 −0.498876 0.866673i \(-0.666254\pi\)
−0.498876 + 0.866673i \(0.666254\pi\)
\(608\) 12529.0 6033.64i 0.835720 0.402462i
\(609\) −4524.34 + 16362.5i −0.301043 + 1.08874i
\(610\) 1282.47 + 617.605i 0.0851241 + 0.0409936i
\(611\) 224.066 + 107.905i 0.0148359 + 0.00714461i
\(612\) −3907.35 17119.2i −0.258081 1.13072i
\(613\) −2187.90 9585.84i −0.144158 0.631596i −0.994443 0.105274i \(-0.966428\pi\)
0.850286 0.526322i \(-0.176429\pi\)
\(614\) −20424.2 9835.78i −1.34243 0.646482i
\(615\) −5821.58 2803.52i −0.381705 0.183819i
\(616\) 2311.20 + 3184.35i 0.151170 + 0.208281i
\(617\) 8728.06 4203.21i 0.569495 0.274254i −0.126897 0.991916i \(-0.540502\pi\)
0.696392 + 0.717661i \(0.254787\pi\)
\(618\) −46124.1 −3.00224
\(619\) −21724.1 −1.41061 −0.705303 0.708906i \(-0.749189\pi\)
−0.705303 + 0.708906i \(0.749189\pi\)
\(620\) −131.695 + 63.4211i −0.00853065 + 0.00410815i
\(621\) −17382.4 21796.9i −1.12324 1.40850i
\(622\) −1135.93 4976.83i −0.0732261 0.320824i
\(623\) −1409.86 7790.53i −0.0906658 0.500997i
\(624\) −11963.5 + 52415.6i −0.767507 + 3.36267i
\(625\) −13267.6 + 6389.34i −0.849127 + 0.408918i
\(626\) 3503.03 15347.8i 0.223657 0.979906i
\(627\) 7712.73 + 9671.46i 0.491255 + 0.616014i
\(628\) 1421.64 + 6228.61i 0.0903338 + 0.395778i
\(629\) −5803.03 + 7276.76i −0.367857 + 0.461278i
\(630\) 4259.31 4870.39i 0.269357 0.308002i
\(631\) 12750.1 + 15988.1i 0.804395 + 1.00868i 0.999610 + 0.0279194i \(0.00888816\pi\)
−0.195215 + 0.980761i \(0.562540\pi\)
\(632\) 7056.61 8848.71i 0.444141 0.556935i
\(633\) −8626.37 4154.24i −0.541654 0.260847i
\(634\) 2385.23 2990.98i 0.149416 0.187361i
\(635\) −361.236 + 1582.68i −0.0225751 + 0.0989082i
\(636\) −3016.31 −0.188057
\(637\) −7432.73 + 22800.1i −0.462316 + 1.41817i
\(638\) 4809.98 0.298478
\(639\) 15824.3 69331.0i 0.979658 4.29216i
\(640\) 1543.90 1935.99i 0.0953565 0.119573i
\(641\) 13144.6 + 6330.09i 0.809952 + 0.390052i 0.792558 0.609796i \(-0.208749\pi\)
0.0173938 + 0.999849i \(0.494463\pi\)
\(642\) −1427.79 + 1790.39i −0.0877732 + 0.110064i
\(643\) 17976.9 + 22542.4i 1.10255 + 1.38256i 0.916508 + 0.400017i \(0.130996\pi\)
0.186045 + 0.982541i \(0.440433\pi\)
\(644\) 3104.80 + 4277.76i 0.189978 + 0.261751i
\(645\) 77.4120 97.0716i 0.00472573 0.00592588i
\(646\) −4729.64 20721.9i −0.288058 1.26206i
\(647\) −3393.22 4254.97i −0.206184 0.258547i 0.667978 0.744181i \(-0.267160\pi\)
−0.874162 + 0.485634i \(0.838589\pi\)
\(648\) 5765.42 25260.0i 0.349517 1.53133i
\(649\) 10191.2 4907.80i 0.616391 0.296838i
\(650\) 6548.63 28691.4i 0.395166 1.73134i
\(651\) −2911.04 + 3328.68i −0.175258 + 0.200402i
\(652\) −3398.23 14888.6i −0.204118 0.894300i
\(653\) 14644.0 + 18363.0i 0.877589 + 1.10046i 0.994228 + 0.107287i \(0.0342165\pi\)
−0.116639 + 0.993174i \(0.537212\pi\)
\(654\) −1612.05 + 776.323i −0.0963856 + 0.0464169i
\(655\) −2314.07 −0.138043
\(656\) 34580.8 2.05816
\(657\) −592.180 + 285.179i −0.0351646 + 0.0169344i
\(658\) 199.143 + 107.288i 0.0117985 + 0.00635643i
\(659\) −20484.7 9864.90i −1.21088 0.583129i −0.284122 0.958788i \(-0.591702\pi\)
−0.926758 + 0.375659i \(0.877416\pi\)
\(660\) −749.837 361.102i −0.0442233 0.0212968i
\(661\) 5772.72 + 25291.9i 0.339686 + 1.48826i 0.799726 + 0.600365i \(0.204978\pi\)
−0.460040 + 0.887898i \(0.652165\pi\)
\(662\) −3739.86 16385.4i −0.219567 0.961988i
\(663\) 42852.1 + 20636.5i 2.51016 + 1.20883i
\(664\) 7994.50 + 3849.95i 0.467239 + 0.225010i
\(665\) 1657.41 1895.19i 0.0966488 0.110515i
\(666\) 26662.0 12839.7i 1.55125 0.747041i
\(667\) −7176.79 −0.416621
\(668\) −9673.23 −0.560282
\(669\) 51367.6 24737.3i 2.96859 1.42960i
\(670\) 2430.54 + 3047.80i 0.140149 + 0.175741i
\(671\) −872.786 3823.92i −0.0502139 0.220001i
\(672\) −7543.14 + 27280.2i −0.433010 + 1.56601i
\(673\) −2542.56 + 11139.7i −0.145629 + 0.638044i 0.848439 + 0.529292i \(0.177543\pi\)
−0.994069 + 0.108752i \(0.965315\pi\)
\(674\) 31836.0 15331.4i 1.81940 0.876177i
\(675\) −10099.6 + 44249.2i −0.575902 + 2.52319i
\(676\) 6359.74 + 7974.86i 0.361842 + 0.453736i
\(677\) 1911.89 + 8376.52i 0.108537 + 0.475533i 0.999759 + 0.0219645i \(0.00699208\pi\)
−0.891221 + 0.453568i \(0.850151\pi\)
\(678\) −40659.0 + 50984.8i −2.30310 + 2.88799i
\(679\) −17673.9 802.350i −0.998912 0.0453481i
\(680\) −990.276 1241.77i −0.0558461 0.0700288i
\(681\) −4439.09 + 5566.45i −0.249789 + 0.313226i
\(682\) 1128.82 + 543.612i 0.0633795 + 0.0305220i
\(683\) 8527.82 10693.5i 0.477757 0.599088i −0.483295 0.875458i \(-0.660560\pi\)
0.961051 + 0.276370i \(0.0891314\pi\)
\(684\) −4834.25 + 21180.2i −0.270237 + 1.18399i
\(685\) 2142.14 0.119485
\(686\) −7694.10 + 20410.3i −0.428225 + 1.13596i
\(687\) −29254.2 −1.62462
\(688\) −147.861 + 647.822i −0.00819354 + 0.0358982i
\(689\) 3607.03 4523.07i 0.199444 0.250095i
\(690\) 3480.25 + 1676.00i 0.192015 + 0.0924698i
\(691\) −2502.00 + 3137.40i −0.137743 + 0.172724i −0.845919 0.533312i \(-0.820947\pi\)
0.708175 + 0.706036i \(0.249519\pi\)
\(692\) 2374.26 + 2977.22i 0.130427 + 0.163551i
\(693\) −17810.0 808.530i −0.976258 0.0443196i
\(694\) −2808.79 + 3522.11i −0.153631 + 0.192648i
\(695\) −564.772 2474.43i −0.0308245 0.135051i
\(696\) −8261.33 10359.4i −0.449921 0.564183i
\(697\) 6807.37 29825.0i 0.369939 1.62081i
\(698\) 23475.2 11305.1i 1.27299 0.613041i
\(699\) −1349.02 + 5910.44i −0.0729965 + 0.319819i
\(700\) 2293.32 8293.91i 0.123827 0.447829i
\(701\) 6503.48 + 28493.6i 0.350404 + 1.53522i 0.776251 + 0.630424i \(0.217119\pi\)
−0.425847 + 0.904795i \(0.640024\pi\)
\(702\) −55418.3 69492.4i −2.97953 3.73621i
\(703\) 10374.9 4996.26i 0.556607 0.268048i
\(704\) −1381.87 −0.0739790
\(705\) 53.1423 0.00283894
\(706\) −10971.2 + 5283.43i −0.584851 + 0.281650i
\(707\) −2655.97 + 3037.01i −0.141284 + 0.161554i
\(708\) 25276.1 + 12172.3i 1.34171 + 0.646135i
\(709\) −15874.9 7644.95i −0.840895 0.404954i −0.0367049 0.999326i \(-0.511686\pi\)
−0.804190 + 0.594373i \(0.797400\pi\)
\(710\) 1288.69 + 5646.14i 0.0681181 + 0.298445i
\(711\) 11411.4 + 49996.7i 0.601915 + 2.63716i
\(712\) 5567.32 + 2681.08i 0.293040 + 0.141120i
\(713\) −1684.27 811.103i −0.0884663 0.0426031i
\(714\) 38085.5 + 20518.6i 1.99624 + 1.07547i
\(715\) 1438.17 692.587i 0.0752232 0.0362256i
\(716\) −5331.59 −0.278283
\(717\) 23675.8 1.23318
\(718\) −24772.2 + 11929.7i −1.28759 + 0.620072i
\(719\) −17385.0 21800.0i −0.901737 1.13074i −0.990883 0.134724i \(-0.956985\pi\)
0.0891456 0.996019i \(-0.471586\pi\)
\(720\) 1810.20 + 7930.99i 0.0936973 + 0.410515i
\(721\) 17028.6 19471.6i 0.879579 1.00577i
\(722\) −610.864 + 2676.37i −0.0314875 + 0.137956i
\(723\) 14675.5 7067.35i 0.754893 0.363537i
\(724\) 1681.84 7368.63i 0.0863331 0.378250i
\(725\) 7284.70 + 9134.72i 0.373168 + 0.467938i
\(726\) −8193.40 35897.6i −0.418850 1.83510i
\(727\) 18812.6 23590.2i 0.959724 1.20346i −0.0193217 0.999813i \(-0.506151\pi\)
0.979045 0.203642i \(-0.0652779\pi\)
\(728\) −10994.3 15147.8i −0.559720 0.771176i
\(729\) 13252.6 + 16618.3i 0.673303 + 0.844295i
\(730\) 33.3732 41.8486i 0.00169205 0.00212176i
\(731\) 529.623 + 255.053i 0.0267973 + 0.0129049i
\(732\) 6065.30 7605.64i 0.306257 0.384034i
\(733\) −2557.19 + 11203.8i −0.128857 + 0.564559i 0.868740 + 0.495269i \(0.164930\pi\)
−0.997597 + 0.0692898i \(0.977927\pi\)
\(734\) 16366.8 0.823040
\(735\) 682.921 + 5078.67i 0.0342720 + 0.254870i
\(736\) −11965.4 −0.599253
\(737\) 2390.25 10472.4i 0.119465 0.523411i
\(738\) −60645.0 + 76046.5i −3.02490 + 3.79310i
\(739\) 8282.99 + 3988.88i 0.412307 + 0.198556i 0.628526 0.777788i \(-0.283658\pi\)
−0.216220 + 0.976345i \(0.569373\pi\)
\(740\) −483.036 + 605.708i −0.0239956 + 0.0300896i
\(741\) −36689.2 46006.8i −1.81891 2.28084i
\(742\) 3464.03 3961.01i 0.171386 0.195975i
\(743\) −3801.32 + 4766.71i −0.187694 + 0.235361i −0.866771 0.498706i \(-0.833809\pi\)
0.679077 + 0.734067i \(0.262380\pi\)
\(744\) −768.005 3364.85i −0.0378446 0.165808i
\(745\) 570.564 + 715.465i 0.0280589 + 0.0351847i
\(746\) 5977.89 26190.8i 0.293386 1.28541i
\(747\) −36223.7 + 17444.4i −1.77424 + 0.854428i
\(748\) 876.810 3841.56i 0.0428601 0.187782i
\(749\) −228.701 1263.75i −0.0111570 0.0616506i
\(750\) −2826.23 12382.5i −0.137599 0.602860i
\(751\) 6102.86 + 7652.75i 0.296534 + 0.371841i 0.907670 0.419684i \(-0.137859\pi\)
−0.611137 + 0.791525i \(0.709288\pi\)
\(752\) −256.244 + 123.401i −0.0124259 + 0.00598399i
\(753\) −3560.67 −0.172321
\(754\) −22880.9 −1.10514
\(755\) 85.9965 41.4138i 0.00414534 0.00199629i
\(756\) −15266.2 21033.6i −0.734425 1.01188i
\(757\) 35175.5 + 16939.6i 1.68887 + 0.813318i 0.995709 + 0.0925369i \(0.0294976\pi\)
0.693163 + 0.720781i \(0.256217\pi\)
\(758\) 27307.2 + 13150.4i 1.30850 + 0.630139i
\(759\) −2368.48 10377.0i −0.113268 0.496260i
\(760\) 437.265 + 1915.78i 0.0208701 + 0.0914378i
\(761\) −27162.6 13080.8i −1.29388 0.623101i −0.344961 0.938617i \(-0.612108\pi\)
−0.948920 + 0.315516i \(0.897822\pi\)
\(762\) 31093.6 + 14973.9i 1.47822 + 0.711873i
\(763\) 267.423 967.149i 0.0126885 0.0458888i
\(764\) −9575.06 + 4611.11i −0.453421 + 0.218356i
\(765\) 7196.62 0.340123
\(766\) −18979.6 −0.895249
\(767\) −48479.0 + 23346.3i −2.28224 + 1.09907i
\(768\) −28311.4 35501.4i −1.33021 1.66803i
\(769\) −4094.27 17938.2i −0.191994 0.841179i −0.975536 0.219840i \(-0.929446\pi\)
0.783542 0.621338i \(-0.213411\pi\)
\(770\) 1335.34 569.982i