Properties

Label 49.4.e.a.8.13
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 8.13
Character \(\chi\) \(=\) 49.8
Dual form 49.4.e.a.43.13

$q$-expansion

\(f(q)\) \(=\) \(q+(3.18020 + 3.98784i) q^{2} +(-4.68696 + 2.25712i) q^{3} +(-4.00905 + 17.5648i) q^{4} +(4.76744 - 2.29588i) q^{5} +(-23.9065 - 11.5128i) q^{6} +(7.38357 - 16.9848i) q^{7} +(-46.0311 + 22.1674i) q^{8} +(0.0387732 - 0.0486201i) q^{9} +O(q^{10})\) \(q+(3.18020 + 3.98784i) q^{2} +(-4.68696 + 2.25712i) q^{3} +(-4.00905 + 17.5648i) q^{4} +(4.76744 - 2.29588i) q^{5} +(-23.9065 - 11.5128i) q^{6} +(7.38357 - 16.9848i) q^{7} +(-46.0311 + 22.1674i) q^{8} +(0.0387732 - 0.0486201i) q^{9} +(24.3170 + 11.7104i) q^{10} +(33.6056 + 42.1400i) q^{11} +(-20.8556 - 91.3745i) q^{12} +(17.2120 + 21.5832i) q^{13} +(91.2138 - 24.5705i) q^{14} +(-17.1627 + 21.5214i) q^{15} +(-104.929 - 50.5313i) q^{16} +(-22.3063 - 97.7302i) q^{17} +0.317195 q^{18} +70.0510 q^{19} +(21.2137 + 92.9435i) q^{20} +(3.73022 + 96.2726i) q^{21} +(-61.1755 + 268.027i) q^{22} +(32.8243 - 143.813i) q^{23} +(165.711 - 207.795i) q^{24} +(-60.4788 + 75.8380i) q^{25} +(-31.3327 + 137.278i) q^{26} +(31.1828 - 136.621i) q^{27} +(268.733 + 197.784i) q^{28} +(-17.4325 - 76.3767i) q^{29} -140.405 q^{30} -79.8101 q^{31} +(-41.2352 - 180.663i) q^{32} +(-252.623 - 121.657i) q^{33} +(318.794 - 399.755i) q^{34} +(-3.79427 - 97.9257i) q^{35} +(0.698558 + 0.875964i) q^{36} +(-54.6848 - 239.590i) q^{37} +(222.776 + 279.352i) q^{38} +(-129.388 - 62.3100i) q^{39} +(-168.557 + 211.363i) q^{40} +(-277.770 + 133.767i) q^{41} +(-372.057 + 321.041i) q^{42} +(327.199 + 157.571i) q^{43} +(-874.908 + 421.334i) q^{44} +(0.0732232 - 0.320812i) q^{45} +(677.890 - 326.454i) q^{46} +(165.122 + 207.056i) q^{47} +605.855 q^{48} +(-233.966 - 250.817i) q^{49} -494.764 q^{50} +(325.138 + 407.710i) q^{51} +(-448.109 + 215.798i) q^{52} +(-43.4214 + 190.242i) q^{53} +(643.989 - 310.129i) q^{54} +(256.961 + 123.746i) q^{55} +(36.6348 + 945.502i) q^{56} +(-328.326 + 158.113i) q^{57} +(249.139 - 312.411i) q^{58} +(-645.475 - 310.844i) q^{59} +(-309.213 - 387.740i) q^{60} +(-106.515 - 466.672i) q^{61} +(-253.812 - 318.270i) q^{62} +(-0.539517 - 1.01754i) q^{63} +(8.41353 - 10.5502i) q^{64} +(131.610 + 63.3799i) q^{65} +(-318.243 - 1394.31i) q^{66} +129.114 q^{67} +1806.04 q^{68} +(170.756 + 748.133i) q^{69} +(378.446 - 326.554i) q^{70} +(102.294 - 448.180i) q^{71} +(-0.706992 + 3.09753i) q^{72} +(-244.544 + 306.649i) q^{73} +(781.537 - 980.017i) q^{74} +(112.286 - 491.958i) q^{75} +(-280.838 + 1230.43i) q^{76} +(963.869 - 259.639i) q^{77} +(-162.997 - 714.137i) q^{78} +1048.27 q^{79} -616.258 q^{80} +(162.591 + 712.356i) q^{81} +(-1416.81 - 682.298i) q^{82} +(-835.152 + 1047.25i) q^{83} +(-1705.96 - 320.441i) q^{84} +(-330.721 - 414.710i) q^{85} +(412.190 + 1805.92i) q^{86} +(254.097 + 318.627i) q^{87} +(-2481.04 - 1194.80i) q^{88} +(-362.417 + 454.457i) q^{89} +(1.51221 - 0.728242i) q^{90} +(493.672 - 132.982i) q^{91} +(2394.45 + 1153.11i) q^{92} +(374.067 - 180.141i) q^{93} +(-300.587 + 1316.96i) q^{94} +(333.964 - 160.828i) q^{95} +(601.047 + 753.689i) q^{96} +935.629 q^{97} +(256.160 - 1730.66i) q^{98} +3.35185 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.18020 + 3.98784i 1.12437 + 1.40991i 0.900261 + 0.435350i \(0.143375\pi\)
0.224108 + 0.974564i \(0.428053\pi\)
\(3\) −4.68696 + 2.25712i −0.902006 + 0.434383i −0.826613 0.562771i \(-0.809735\pi\)
−0.0753929 + 0.997154i \(0.524021\pi\)
\(4\) −4.00905 + 17.5648i −0.501132 + 2.19560i
\(5\) 4.76744 2.29588i 0.426413 0.205350i −0.208354 0.978054i \(-0.566811\pi\)
0.634767 + 0.772704i \(0.281096\pi\)
\(6\) −23.9065 11.5128i −1.62663 0.783344i
\(7\) 7.38357 16.9848i 0.398675 0.917092i
\(8\) −46.0311 + 22.1674i −2.03431 + 0.979670i
\(9\) 0.0387732 0.0486201i 0.00143604 0.00180074i
\(10\) 24.3170 + 11.7104i 0.768971 + 0.370317i
\(11\) 33.6056 + 42.1400i 0.921133 + 1.15506i 0.987555 + 0.157272i \(0.0502700\pi\)
−0.0664227 + 0.997792i \(0.521159\pi\)
\(12\) −20.8556 91.3745i −0.501708 2.19813i
\(13\) 17.2120 + 21.5832i 0.367212 + 0.460470i 0.930769 0.365608i \(-0.119139\pi\)
−0.563557 + 0.826077i \(0.690567\pi\)
\(14\) 91.2138 24.5705i 1.74128 0.469052i
\(15\) −17.1627 + 21.5214i −0.295426 + 0.370453i
\(16\) −104.929 50.5313i −1.63952 0.789552i
\(17\) −22.3063 97.7302i −0.318239 1.39430i −0.840638 0.541597i \(-0.817820\pi\)
0.522399 0.852701i \(-0.325037\pi\)
\(18\) 0.317195 0.00415354
\(19\) 70.0510 0.845831 0.422916 0.906169i \(-0.361007\pi\)
0.422916 + 0.906169i \(0.361007\pi\)
\(20\) 21.2137 + 92.9435i 0.237177 + 1.03914i
\(21\) 3.73022 + 96.2726i 0.0387619 + 1.00040i
\(22\) −61.1755 + 268.027i −0.592848 + 2.59744i
\(23\) 32.8243 143.813i 0.297580 1.30378i −0.576139 0.817352i \(-0.695441\pi\)
0.873719 0.486431i \(-0.161702\pi\)
\(24\) 165.711 207.795i 1.40940 1.76734i
\(25\) −60.4788 + 75.8380i −0.483830 + 0.606704i
\(26\) −31.3327 + 137.278i −0.236341 + 1.03548i
\(27\) 31.1828 136.621i 0.222264 0.973802i
\(28\) 268.733 + 197.784i 1.81378 + 1.33492i
\(29\) −17.4325 76.3767i −0.111625 0.489062i −0.999576 0.0291231i \(-0.990729\pi\)
0.887951 0.459939i \(-0.152129\pi\)
\(30\) −140.405 −0.854475
\(31\) −79.8101 −0.462397 −0.231199 0.972907i \(-0.574265\pi\)
−0.231199 + 0.972907i \(0.574265\pi\)
\(32\) −41.2352 180.663i −0.227795 0.998033i
\(33\) −252.623 121.657i −1.33261 0.641750i
\(34\) 318.794 399.755i 1.60802 2.01640i
\(35\) −3.79427 97.9257i −0.0183242 0.472928i
\(36\) 0.698558 + 0.875964i 0.00323407 + 0.00405539i
\(37\) −54.6848 239.590i −0.242976 1.06455i −0.938292 0.345844i \(-0.887592\pi\)
0.695315 0.718705i \(-0.255265\pi\)
\(38\) 222.776 + 279.352i 0.951026 + 1.19255i
\(39\) −129.388 62.3100i −0.531248 0.255835i
\(40\) −168.557 + 211.363i −0.666279 + 0.835487i
\(41\) −277.770 + 133.767i −1.05806 + 0.509535i −0.880240 0.474529i \(-0.842619\pi\)
−0.177819 + 0.984063i \(0.556904\pi\)
\(42\) −372.057 + 321.041i −1.36690 + 1.17947i
\(43\) 327.199 + 157.571i 1.16040 + 0.558821i 0.912143 0.409872i \(-0.134427\pi\)
0.248261 + 0.968693i \(0.420141\pi\)
\(44\) −874.908 + 421.334i −2.99767 + 1.44360i
\(45\) 0.0732232 0.320812i 0.000242566 0.00106275i
\(46\) 677.890 326.454i 2.17281 1.04637i
\(47\) 165.122 + 207.056i 0.512457 + 0.642600i 0.968988 0.247107i \(-0.0794799\pi\)
−0.456532 + 0.889707i \(0.650908\pi\)
\(48\) 605.855 1.82183
\(49\) −233.966 250.817i −0.682116 0.731244i
\(50\) −494.764 −1.39940
\(51\) 325.138 + 407.710i 0.892713 + 1.11943i
\(52\) −448.109 + 215.798i −1.19503 + 0.575496i
\(53\) −43.4214 + 190.242i −0.112536 + 0.493051i 0.886976 + 0.461815i \(0.152802\pi\)
−0.999512 + 0.0312363i \(0.990056\pi\)
\(54\) 643.989 310.129i 1.62288 0.781540i
\(55\) 256.961 + 123.746i 0.629975 + 0.303380i
\(56\) 36.6348 + 945.502i 0.0874202 + 2.25622i
\(57\) −328.326 + 158.113i −0.762945 + 0.367415i
\(58\) 249.139 312.411i 0.564027 0.707268i
\(59\) −645.475 310.844i −1.42430 0.685906i −0.446371 0.894848i \(-0.647284\pi\)
−0.977928 + 0.208942i \(0.932998\pi\)
\(60\) −309.213 387.740i −0.665319 0.834284i
\(61\) −106.515 466.672i −0.223571 0.979529i −0.954765 0.297360i \(-0.903894\pi\)
0.731194 0.682169i \(-0.238963\pi\)
\(62\) −253.812 318.270i −0.519905 0.651940i
\(63\) −0.539517 1.01754i −0.00107893 0.00203490i
\(64\) 8.41353 10.5502i 0.0164327 0.0206059i
\(65\) 131.610 + 63.3799i 0.251141 + 0.120943i
\(66\) −318.243 1394.31i −0.593530 2.60043i
\(67\) 129.114 0.235430 0.117715 0.993047i \(-0.462443\pi\)
0.117715 + 0.993047i \(0.462443\pi\)
\(68\) 1806.04 3.22080
\(69\) 170.756 + 748.133i 0.297923 + 1.30528i
\(70\) 378.446 326.554i 0.646184 0.557581i
\(71\) 102.294 448.180i 0.170987 0.749143i −0.814607 0.580014i \(-0.803047\pi\)
0.985594 0.169130i \(-0.0540956\pi\)
\(72\) −0.706992 + 3.09753i −0.00115722 + 0.00507011i
\(73\) −244.544 + 306.649i −0.392079 + 0.491651i −0.938219 0.346043i \(-0.887525\pi\)
0.546140 + 0.837694i \(0.316097\pi\)
\(74\) 781.537 980.017i 1.22773 1.53952i
\(75\) 112.286 491.958i 0.172876 0.757418i
\(76\) −280.838 + 1230.43i −0.423873 + 1.85711i
\(77\) 963.869 259.639i 1.42653 0.384268i
\(78\) −162.997 714.137i −0.236613 1.03667i
\(79\) 1048.27 1.49291 0.746455 0.665435i \(-0.231754\pi\)
0.746455 + 0.665435i \(0.231754\pi\)
\(80\) −616.258 −0.861247
\(81\) 162.591 + 712.356i 0.223032 + 0.977168i
\(82\) −1416.81 682.298i −1.90805 0.918868i
\(83\) −835.152 + 1047.25i −1.10446 + 1.38494i −0.189263 + 0.981926i \(0.560610\pi\)
−0.915192 + 0.403017i \(0.867961\pi\)
\(84\) −1705.96 320.441i −2.21590 0.416226i
\(85\) −330.721 414.710i −0.422020 0.529196i
\(86\) 412.190 + 1805.92i 0.516832 + 2.26439i
\(87\) 254.097 + 318.627i 0.313127 + 0.392649i
\(88\) −2481.04 1194.80i −3.00545 1.44735i
\(89\) −362.417 + 454.457i −0.431642 + 0.541262i −0.949319 0.314314i \(-0.898226\pi\)
0.517677 + 0.855576i \(0.326797\pi\)
\(90\) 1.51221 0.728242i 0.00177112 0.000852927i
\(91\) 493.672 132.982i 0.568691 0.153190i
\(92\) 2394.45 + 1153.11i 2.71346 + 1.30673i
\(93\) 374.067 180.141i 0.417085 0.200857i
\(94\) −300.587 + 1316.96i −0.329821 + 1.44504i
\(95\) 333.964 160.828i 0.360673 0.173691i
\(96\) 601.047 + 753.689i 0.639001 + 0.801282i
\(97\) 935.629 0.979368 0.489684 0.871900i \(-0.337112\pi\)
0.489684 + 0.871900i \(0.337112\pi\)
\(98\) 256.160 1730.66i 0.264041 1.78391i
\(99\) 3.35185 0.00340276
\(100\) −1089.62 1366.34i −1.08962 1.36634i
\(101\) −91.9934 + 44.3017i −0.0906305 + 0.0436454i −0.478650 0.878006i \(-0.658874\pi\)
0.388019 + 0.921651i \(0.373159\pi\)
\(102\) −591.880 + 2593.19i −0.574557 + 2.51730i
\(103\) 643.248 309.772i 0.615350 0.296337i −0.100125 0.994975i \(-0.531924\pi\)
0.715476 + 0.698638i \(0.246210\pi\)
\(104\) −1270.73 611.952i −1.19813 0.576989i
\(105\) 238.814 + 450.410i 0.221960 + 0.418624i
\(106\) −896.742 + 431.848i −0.821692 + 0.395706i
\(107\) 330.916 414.956i 0.298980 0.374909i −0.609536 0.792758i \(-0.708644\pi\)
0.908517 + 0.417849i \(0.137216\pi\)
\(108\) 2274.70 + 1095.44i 2.02670 + 0.976006i
\(109\) −819.692 1027.86i −0.720296 0.903222i 0.278059 0.960564i \(-0.410309\pi\)
−0.998355 + 0.0573419i \(0.981737\pi\)
\(110\) 323.707 + 1418.26i 0.280584 + 1.22932i
\(111\) 797.089 + 999.517i 0.681588 + 0.854685i
\(112\) −1633.02 + 1409.10i −1.37773 + 1.18882i
\(113\) −796.068 + 998.238i −0.662724 + 0.831030i −0.993637 0.112632i \(-0.964072\pi\)
0.330913 + 0.943661i \(0.392643\pi\)
\(114\) −1674.67 806.480i −1.37585 0.662577i
\(115\) −173.688 760.979i −0.140839 0.617058i
\(116\) 1411.43 1.12972
\(117\) 1.71674 0.00135652
\(118\) −813.139 3562.59i −0.634369 2.77935i
\(119\) −1824.63 342.730i −1.40557 0.264017i
\(120\) 312.946 1371.11i 0.238066 1.04303i
\(121\) −350.274 + 1534.65i −0.263166 + 1.15301i
\(122\) 1522.28 1908.87i 1.12968 1.41657i
\(123\) 999.970 1253.92i 0.733042 0.919206i
\(124\) 319.963 1401.85i 0.231722 1.01524i
\(125\) −261.397 + 1145.25i −0.187040 + 0.819477i
\(126\) 2.34203 5.38750i 0.00165591 0.00380918i
\(127\) −181.493 795.171i −0.126810 0.555591i −0.997918 0.0644989i \(-0.979455\pi\)
0.871108 0.491092i \(-0.163402\pi\)
\(128\) −1413.65 −0.976171
\(129\) −1889.22 −1.28943
\(130\) 165.796 + 726.399i 0.111856 + 0.490072i
\(131\) −481.453 231.856i −0.321105 0.154636i 0.266387 0.963866i \(-0.414170\pi\)
−0.587492 + 0.809230i \(0.699885\pi\)
\(132\) 3149.66 3949.55i 2.07684 2.60427i
\(133\) 517.226 1189.80i 0.337212 0.775705i
\(134\) 410.609 + 514.888i 0.264711 + 0.331937i
\(135\) −165.002 722.922i −0.105194 0.460883i
\(136\) 3193.21 + 4004.16i 2.01335 + 2.52466i
\(137\) 552.557 + 266.098i 0.344585 + 0.165943i 0.598169 0.801370i \(-0.295895\pi\)
−0.253584 + 0.967313i \(0.581609\pi\)
\(138\) −2440.39 + 3060.16i −1.50536 + 1.88767i
\(139\) −1018.58 + 490.520i −0.621543 + 0.299319i −0.718027 0.696015i \(-0.754955\pi\)
0.0964842 + 0.995335i \(0.469240\pi\)
\(140\) 1735.26 + 325.944i 1.04754 + 0.196766i
\(141\) −1241.27 597.763i −0.741373 0.357027i
\(142\) 2112.58 1017.37i 1.24848 0.601236i
\(143\) −331.097 + 1450.63i −0.193621 + 0.848307i
\(144\) −6.52528 + 3.14241i −0.00377620 + 0.00181852i
\(145\) −258.460 324.098i −0.148027 0.185620i
\(146\) −2000.56 −1.13403
\(147\) 1662.71 + 647.479i 0.932913 + 0.363287i
\(148\) 4427.58 2.45909
\(149\) −542.547 680.332i −0.298303 0.374060i 0.609980 0.792417i \(-0.291178\pi\)
−0.908283 + 0.418357i \(0.862606\pi\)
\(150\) 2318.94 1116.74i 1.26227 0.607878i
\(151\) −423.411 + 1855.09i −0.228190 + 0.999766i 0.722924 + 0.690927i \(0.242798\pi\)
−0.951114 + 0.308839i \(0.900060\pi\)
\(152\) −3224.52 + 1552.85i −1.72068 + 0.828635i
\(153\) −5.61654 2.70478i −0.00296778 0.00142921i
\(154\) 4100.69 + 3018.05i 2.14573 + 1.57923i
\(155\) −380.490 + 183.234i −0.197172 + 0.0949530i
\(156\) 1613.19 2022.87i 0.827937 1.03820i
\(157\) 449.314 + 216.378i 0.228402 + 0.109993i 0.544585 0.838706i \(-0.316687\pi\)
−0.316183 + 0.948698i \(0.602401\pi\)
\(158\) 3333.71 + 4180.35i 1.67858 + 2.10488i
\(159\) −225.884 989.663i −0.112665 0.493619i
\(160\) −611.367 766.630i −0.302080 0.378797i
\(161\) −2200.27 1619.36i −1.07705 0.792694i
\(162\) −2323.69 + 2913.82i −1.12695 + 1.41315i
\(163\) 1374.92 + 662.128i 0.660689 + 0.318171i 0.734011 0.679137i \(-0.237646\pi\)
−0.0733223 + 0.997308i \(0.523360\pi\)
\(164\) −1236.00 5415.26i −0.588507 2.57842i
\(165\) −1483.67 −0.700024
\(166\) −6832.20 −3.19447
\(167\) −578.952 2536.56i −0.268268 1.17536i −0.912027 0.410129i \(-0.865484\pi\)
0.643760 0.765228i \(-0.277374\pi\)
\(168\) −2305.82 4348.84i −1.05892 1.99715i
\(169\) 319.298 1398.94i 0.145334 0.636748i
\(170\) 602.043 2637.72i 0.271615 1.19002i
\(171\) 2.71610 3.40588i 0.00121465 0.00152312i
\(172\) −4079.46 + 5115.48i −1.80846 + 2.26774i
\(173\) 149.966 657.046i 0.0659060 0.288753i −0.931225 0.364444i \(-0.881259\pi\)
0.997131 + 0.0756910i \(0.0241162\pi\)
\(174\) −462.557 + 2026.59i −0.201531 + 0.882964i
\(175\) 841.543 + 1587.17i 0.363512 + 0.685595i
\(176\) −1396.82 6119.86i −0.598234 2.62103i
\(177\) 3726.93 1.58267
\(178\) −2964.86 −1.24846
\(179\) −13.5512 59.3715i −0.00565844 0.0247912i 0.972020 0.234899i \(-0.0754758\pi\)
−0.977678 + 0.210107i \(0.932619\pi\)
\(180\) 5.34144 + 2.57230i 0.00221182 + 0.00106516i
\(181\) 817.553 1025.18i 0.335736 0.421000i −0.585093 0.810966i \(-0.698942\pi\)
0.920829 + 0.389966i \(0.127513\pi\)
\(182\) 2100.28 + 1545.78i 0.855403 + 0.629565i
\(183\) 1552.57 + 1946.86i 0.627153 + 0.786425i
\(184\) 1677.01 + 7347.48i 0.671909 + 2.94382i
\(185\) −810.775 1016.68i −0.322213 0.404042i
\(186\) 1907.98 + 918.834i 0.752149 + 0.362216i
\(187\) 3368.74 4224.27i 1.31736 1.65192i
\(188\) −4298.88 + 2070.23i −1.66770 + 0.803123i
\(189\) −2090.23 1538.38i −0.804455 0.592067i
\(190\) 1703.43 + 820.328i 0.650419 + 0.313225i
\(191\) −461.642 + 222.315i −0.174886 + 0.0842207i −0.519278 0.854605i \(-0.673799\pi\)
0.344392 + 0.938826i \(0.388085\pi\)
\(192\) −15.6207 + 68.4389i −0.00587150 + 0.0257247i
\(193\) −634.782 + 305.695i −0.236749 + 0.114012i −0.548497 0.836152i \(-0.684800\pi\)
0.311748 + 0.950165i \(0.399086\pi\)
\(194\) 2975.48 + 3731.14i 1.10117 + 1.38083i
\(195\) −759.906 −0.279067
\(196\) 5343.53 3104.03i 1.94735 1.13121i
\(197\) −2741.03 −0.991321 −0.495660 0.868516i \(-0.665074\pi\)
−0.495660 + 0.868516i \(0.665074\pi\)
\(198\) 10.6595 + 13.3666i 0.00382596 + 0.00479760i
\(199\) 360.939 173.819i 0.128574 0.0619182i −0.368491 0.929631i \(-0.620125\pi\)
0.497065 + 0.867713i \(0.334411\pi\)
\(200\) 1102.77 4831.56i 0.389889 1.70822i
\(201\) −605.154 + 291.427i −0.212360 + 0.102267i
\(202\) −469.225 225.967i −0.163438 0.0787078i
\(203\) −1425.96 267.846i −0.493017 0.0926063i
\(204\) −8464.84 + 4076.45i −2.90518 + 1.39906i
\(205\) −1017.14 + 1275.45i −0.346537 + 0.434544i
\(206\) 3280.98 + 1580.03i 1.10969 + 0.534399i
\(207\) −5.71948 7.17200i −0.00192044 0.00240816i
\(208\) −715.419 3134.46i −0.238488 1.04488i
\(209\) 2354.10 + 2951.95i 0.779123 + 0.976989i
\(210\) −1036.69 + 2384.74i −0.340658 + 0.783633i
\(211\) 748.743 938.894i 0.244292 0.306332i −0.644536 0.764574i \(-0.722949\pi\)
0.888827 + 0.458242i \(0.151521\pi\)
\(212\) −3167.48 1525.38i −1.02615 0.494167i
\(213\) 532.148 + 2331.49i 0.171184 + 0.750005i
\(214\) 2707.16 0.864754
\(215\) 1921.66 0.609565
\(216\) 1593.15 + 6980.04i 0.501852 + 2.19876i
\(217\) −589.283 + 1355.56i −0.184346 + 0.424061i
\(218\) 1492.16 6537.60i 0.463588 2.03111i
\(219\) 454.026 1989.22i 0.140092 0.613784i
\(220\) −3203.74 + 4017.36i −0.981801 + 1.23114i
\(221\) 1725.39 2163.58i 0.525170 0.658543i
\(222\) −1451.02 + 6357.32i −0.438675 + 1.92196i
\(223\) 1017.22 4456.73i 0.305462 1.33832i −0.556291 0.830988i \(-0.687776\pi\)
0.861753 0.507328i \(-0.169367\pi\)
\(224\) −3372.99 633.569i −1.00610 0.188983i
\(225\) 1.34229 + 5.88097i 0.000397716 + 0.00174251i
\(226\) −6512.47 −1.91683
\(227\) −987.619 −0.288769 −0.144385 0.989522i \(-0.546120\pi\)
−0.144385 + 0.989522i \(0.546120\pi\)
\(228\) −1460.96 6400.87i −0.424360 1.85924i
\(229\) 5509.26 + 2653.12i 1.58979 + 0.765602i 0.999146 0.0413299i \(-0.0131595\pi\)
0.590644 + 0.806932i \(0.298874\pi\)
\(230\) 2482.30 3112.70i 0.711643 0.892372i
\(231\) −3931.58 + 3392.49i −1.11982 + 0.966274i
\(232\) 2495.51 + 3129.27i 0.706199 + 0.885545i
\(233\) 659.747 + 2890.54i 0.185500 + 0.812728i 0.978951 + 0.204094i \(0.0654249\pi\)
−0.793451 + 0.608634i \(0.791718\pi\)
\(234\) 5.45958 + 6.84609i 0.00152523 + 0.00191258i
\(235\) 1262.58 + 608.028i 0.350476 + 0.168780i
\(236\) 8047.66 10091.4i 2.21974 2.78346i
\(237\) −4913.21 + 2366.08i −1.34661 + 0.648495i
\(238\) −4435.92 8366.27i −1.20814 2.27859i
\(239\) 4553.74 + 2192.97i 1.23246 + 0.593520i 0.932754 0.360513i \(-0.117398\pi\)
0.299702 + 0.954033i \(0.403113\pi\)
\(240\) 2888.38 1390.97i 0.776850 0.374111i
\(241\) −781.650 + 3424.63i −0.208923 + 0.915352i 0.756362 + 0.654153i \(0.226975\pi\)
−0.965285 + 0.261199i \(0.915882\pi\)
\(242\) −7233.88 + 3483.65i −1.92154 + 0.925362i
\(243\) −10.8794 13.6424i −0.00287208 0.00360148i
\(244\) 8624.03 2.26269
\(245\) −1691.26 658.597i −0.441024 0.171740i
\(246\) 8180.54 2.12021
\(247\) 1205.72 + 1511.92i 0.310599 + 0.389479i
\(248\) 3673.74 1769.18i 0.940657 0.452996i
\(249\) 1550.56 6793.44i 0.394629 1.72898i
\(250\) −5398.38 + 2599.72i −1.36569 + 0.657684i
\(251\) 1434.06 + 690.608i 0.360627 + 0.173669i 0.605419 0.795907i \(-0.293006\pi\)
−0.244792 + 0.969575i \(0.578720\pi\)
\(252\) 20.0359 5.39712i 0.00500851 0.00134915i
\(253\) 7163.35 3449.69i 1.78006 0.857233i
\(254\) 2593.83 3252.56i 0.640754 0.803480i
\(255\) 2486.13 + 1197.26i 0.610538 + 0.294020i
\(256\) −4562.98 5721.80i −1.11401 1.39692i
\(257\) −374.958 1642.80i −0.0910087 0.398735i 0.908821 0.417186i \(-0.136984\pi\)
−0.999830 + 0.0184509i \(0.994127\pi\)
\(258\) −6008.10 7533.92i −1.44980 1.81799i
\(259\) −4473.15 840.218i −1.07316 0.201578i
\(260\) −1640.89 + 2057.61i −0.391398 + 0.490797i
\(261\) −4.38935 2.11380i −0.00104097 0.000501306i
\(262\) −606.513 2657.30i −0.143017 0.626599i
\(263\) −7264.19 −1.70315 −0.851576 0.524231i \(-0.824353\pi\)
−0.851576 + 0.524231i \(0.824353\pi\)
\(264\) 14325.3 3.33963
\(265\) 229.763 + 1006.66i 0.0532612 + 0.233353i
\(266\) 6389.61 1721.18i 1.47283 0.396739i
\(267\) 672.871 2948.04i 0.154229 0.675720i
\(268\) −517.627 + 2267.87i −0.117982 + 0.516911i
\(269\) −967.003 + 1212.58i −0.219179 + 0.274842i −0.879249 0.476362i \(-0.841955\pi\)
0.660070 + 0.751204i \(0.270527\pi\)
\(270\) 2358.16 2957.04i 0.531530 0.666517i
\(271\) −1832.50 + 8028.70i −0.410761 + 1.79966i 0.169836 + 0.985472i \(0.445676\pi\)
−0.580597 + 0.814191i \(0.697181\pi\)
\(272\) −2597.85 + 11381.9i −0.579110 + 2.53725i
\(273\) −2013.67 + 1737.56i −0.446420 + 0.385208i
\(274\) 696.086 + 3049.75i 0.153475 + 0.672417i
\(275\) −5228.24 −1.14645
\(276\) −13825.4 −3.01518
\(277\) 118.995 + 521.351i 0.0258113 + 0.113087i 0.986192 0.165603i \(-0.0529571\pi\)
−0.960381 + 0.278690i \(0.910100\pi\)
\(278\) −5195.39 2501.97i −1.12086 0.539777i
\(279\) −3.09449 + 3.88037i −0.000664023 + 0.000832658i
\(280\) 2345.41 + 4423.52i 0.500590 + 0.944128i
\(281\) −4131.44 5180.66i −0.877085 1.09983i −0.994289 0.106722i \(-0.965965\pi\)
0.117204 0.993108i \(-0.462607\pi\)
\(282\) −1563.69 6850.98i −0.330200 1.44670i
\(283\) 129.121 + 161.912i 0.0271217 + 0.0340095i 0.795207 0.606338i \(-0.207362\pi\)
−0.768086 + 0.640347i \(0.778791\pi\)
\(284\) 7462.09 + 3593.55i 1.55913 + 0.750838i
\(285\) −1202.27 + 1507.59i −0.249881 + 0.313341i
\(286\) −6837.84 + 3292.93i −1.41374 + 0.680822i
\(287\) 221.069 + 5705.55i 0.0454680 + 1.17348i
\(288\) −10.3827 5.00004i −0.00212432 0.00102302i
\(289\) −4627.17 + 2228.33i −0.941821 + 0.453557i
\(290\) 470.500 2061.39i 0.0952713 0.417411i
\(291\) −4385.26 + 2111.83i −0.883396 + 0.425421i
\(292\) −4405.83 5524.74i −0.882986 1.10723i
\(293\) 6953.36 1.38641 0.693207 0.720738i \(-0.256197\pi\)
0.693207 + 0.720738i \(0.256197\pi\)
\(294\) 2705.71 + 8689.74i 0.536735 + 1.72380i
\(295\) −3790.92 −0.748190
\(296\) 7828.28 + 9816.36i 1.53719 + 1.92758i
\(297\) 6805.11 3277.17i 1.32954 0.640272i
\(298\) 987.651 4327.18i 0.191990 0.841164i
\(299\) 3668.91 1766.85i 0.709627 0.341739i
\(300\) 8190.98 + 3944.57i 1.57635 + 0.759133i
\(301\) 5092.20 4393.97i 0.975115 0.841409i
\(302\) −8744.32 + 4211.04i −1.66616 + 0.802378i
\(303\) 331.175 415.280i 0.0627905 0.0787367i
\(304\) −7350.40 3539.77i −1.38676 0.667827i
\(305\) −1579.23 1980.29i −0.296479 0.371773i
\(306\) −7.07545 30.9996i −0.00132182 0.00579127i
\(307\) −696.008 872.766i −0.129392 0.162252i 0.712915 0.701250i \(-0.247374\pi\)
−0.842307 + 0.538998i \(0.818803\pi\)
\(308\) 696.314 + 17971.1i 0.128819 + 3.32466i
\(309\) −2315.68 + 2903.78i −0.426326 + 0.534596i
\(310\) −1940.74 934.611i −0.355570 0.171233i
\(311\) 1232.59 + 5400.32i 0.224738 + 0.984642i 0.953858 + 0.300257i \(0.0970724\pi\)
−0.729120 + 0.684386i \(0.760070\pi\)
\(312\) 7337.12 1.33135
\(313\) −6281.42 −1.13434 −0.567168 0.823602i \(-0.691961\pi\)
−0.567168 + 0.823602i \(0.691961\pi\)
\(314\) 566.025 + 2479.92i 0.101728 + 0.445700i
\(315\) −4.90827 3.61242i −0.000877935 0.000646148i
\(316\) −4202.58 + 18412.7i −0.748145 + 3.27784i
\(317\) 179.778 787.661i 0.0318529 0.139557i −0.956501 0.291729i \(-0.905770\pi\)
0.988354 + 0.152172i \(0.0486268\pi\)
\(318\) 3228.26 4048.11i 0.569283 0.713858i
\(319\) 2632.69 3301.29i 0.462076 0.579425i
\(320\) 15.8889 69.6140i 0.00277569 0.0121611i
\(321\) −614.386 + 2691.80i −0.106828 + 0.468042i
\(322\) −539.513 13924.2i −0.0933723 2.40983i
\(323\) −1562.58 6846.10i −0.269177 1.17934i
\(324\) −13164.2 −2.25724
\(325\) −2677.79 −0.457037
\(326\) 1732.06 + 7588.67i 0.294264 + 1.28926i
\(327\) 6161.87 + 2967.40i 1.04206 + 0.501827i
\(328\) 9820.80 12314.9i 1.65324 2.07310i
\(329\) 4735.99 1275.74i 0.793627 0.213781i
\(330\) −4718.38 5916.66i −0.787085 0.986974i
\(331\) −75.1379 329.201i −0.0124772 0.0546662i 0.968306 0.249767i \(-0.0803539\pi\)
−0.980783 + 0.195100i \(0.937497\pi\)
\(332\) −15046.5 18867.7i −2.48731 3.11898i
\(333\) −13.7692 6.63088i −0.00226590 0.00109120i
\(334\) 8274.20 10375.5i 1.35552 1.69977i
\(335\) 615.545 296.431i 0.100391 0.0483455i
\(336\) 4473.37 10290.3i 0.726317 1.67078i
\(337\) 4202.94 + 2024.03i 0.679373 + 0.327169i 0.741551 0.670896i \(-0.234090\pi\)
−0.0621782 + 0.998065i \(0.519805\pi\)
\(338\) 6594.16 3175.58i 1.06117 0.511032i
\(339\) 1478.00 6475.52i 0.236796 1.03747i
\(340\) 8610.19 4146.45i 1.37339 0.661390i
\(341\) −2682.06 3363.20i −0.425929 0.534098i
\(342\) 22.2198 0.00351319
\(343\) −5987.57 + 2121.94i −0.942561 + 0.334034i
\(344\) −18554.2 −2.90808
\(345\) 2531.69 + 3174.64i 0.395077 + 0.495411i
\(346\) 3097.12 1491.49i 0.481220 0.231743i
\(347\) −776.035 + 3400.03i −0.120057 + 0.526004i 0.878755 + 0.477273i \(0.158375\pi\)
−0.998812 + 0.0487306i \(0.984482\pi\)
\(348\) −6615.31 + 3185.77i −1.01902 + 0.490733i
\(349\) 1526.26 + 735.007i 0.234094 + 0.112734i 0.547254 0.836967i \(-0.315673\pi\)
−0.313160 + 0.949700i \(0.601388\pi\)
\(350\) −3653.13 + 8403.47i −0.557908 + 1.28338i
\(351\) 3485.43 1678.49i 0.530024 0.255246i
\(352\) 6227.43 7808.95i 0.942963 1.18244i
\(353\) 6954.47 + 3349.09i 1.04858 + 0.504970i 0.877145 0.480226i \(-0.159445\pi\)
0.171436 + 0.985195i \(0.445159\pi\)
\(354\) 11852.4 + 14862.4i 1.77951 + 2.23143i
\(355\) −541.285 2371.53i −0.0809252 0.354556i
\(356\) −6529.50 8187.73i −0.972086 1.21896i
\(357\) 9325.54 2512.04i 1.38252 0.372412i
\(358\) 193.669 242.853i 0.0285914 0.0358524i
\(359\) −6910.86 3328.09i −1.01599 0.489276i −0.149656 0.988738i \(-0.547817\pi\)
−0.866336 + 0.499462i \(0.833531\pi\)
\(360\) 3.74102 + 16.3905i 0.000547692 + 0.00239959i
\(361\) −1951.86 −0.284570
\(362\) 6688.23 0.971066
\(363\) −1822.17 7983.46i −0.263469 1.15433i
\(364\) 356.637 + 9204.39i 0.0513540 + 1.32539i
\(365\) −461.822 + 2023.37i −0.0662270 + 0.290159i
\(366\) −2826.29 + 12382.8i −0.403641 + 1.76847i
\(367\) −6306.56 + 7908.17i −0.897002 + 1.12480i 0.0946050 + 0.995515i \(0.469841\pi\)
−0.991607 + 0.129290i \(0.958730\pi\)
\(368\) −10711.3 + 13431.5i −1.51729 + 1.90262i
\(369\) −4.26628 + 18.6918i −0.000601880 + 0.00263701i
\(370\) 1475.93 6466.49i 0.207379 0.908585i
\(371\) 2910.61 + 2142.17i 0.407308 + 0.299773i
\(372\) 1664.49 + 7292.60i 0.231988 + 1.01641i
\(373\) 4774.42 0.662762 0.331381 0.943497i \(-0.392485\pi\)
0.331381 + 0.943497i \(0.392485\pi\)
\(374\) 27559.0 3.81027
\(375\) −1359.82 5957.76i −0.187256 0.820420i
\(376\) −12190.6 5870.69i −1.67203 0.805207i
\(377\) 1348.41 1690.85i 0.184208 0.230989i
\(378\) −512.532 13227.9i −0.0697402 1.79991i
\(379\) 3884.26 + 4870.71i 0.526441 + 0.660136i 0.971963 0.235135i \(-0.0755532\pi\)
−0.445522 + 0.895271i \(0.646982\pi\)
\(380\) 1486.04 + 6510.78i 0.200611 + 0.878936i
\(381\) 2645.45 + 3317.28i 0.355723 + 0.446062i
\(382\) −2354.67 1133.95i −0.315380 0.151879i
\(383\) −8226.62 + 10315.8i −1.09755 + 1.37628i −0.177662 + 0.984092i \(0.556853\pi\)
−0.919885 + 0.392189i \(0.871718\pi\)
\(384\) 6625.70 3190.77i 0.880512 0.424032i
\(385\) 3999.09 3450.74i 0.529382 0.456795i
\(386\) −3237.79 1559.24i −0.426941 0.205604i
\(387\) 20.3476 9.79891i 0.00267268 0.00128710i
\(388\) −3750.99 + 16434.1i −0.490792 + 2.15030i
\(389\) 725.974 349.611i 0.0946230 0.0455680i −0.385974 0.922510i \(-0.626134\pi\)
0.480597 + 0.876942i \(0.340420\pi\)
\(390\) −2416.65 3030.38i −0.313774 0.393460i
\(391\) −14787.0 −1.91256
\(392\) 16329.7 + 6358.95i 2.10401 + 0.819325i
\(393\) 2779.88 0.356810
\(394\) −8717.01 10930.8i −1.11461 1.39768i
\(395\) 4997.58 2406.71i 0.636596 0.306569i
\(396\) −13.4377 + 58.8745i −0.00170523 + 0.00747110i
\(397\) −5163.98 + 2486.84i −0.652828 + 0.314385i −0.730821 0.682569i \(-0.760863\pi\)
0.0779939 + 0.996954i \(0.475149\pi\)
\(398\) 1841.02 + 886.589i 0.231864 + 0.111660i
\(399\) 261.305 + 6743.99i 0.0327860 + 0.846170i
\(400\) 10178.2 4901.56i 1.27227 0.612695i
\(401\) 4644.28 5823.74i 0.578364 0.725246i −0.403469 0.914994i \(-0.632196\pi\)
0.981833 + 0.189747i \(0.0607669\pi\)
\(402\) −3086.67 1486.46i −0.382958 0.184423i
\(403\) −1373.69 1722.56i −0.169798 0.212920i
\(404\) −409.344 1793.45i −0.0504100 0.220861i
\(405\) 2410.62 + 3022.82i 0.295765 + 0.370877i
\(406\) −3466.69 6538.28i −0.423766 0.799235i
\(407\) 8258.61 10356.0i 1.00581 1.26124i
\(408\) −24004.3 11559.9i −2.91272 1.40269i
\(409\) −1553.49 6806.30i −0.187812 0.822860i −0.977767 0.209694i \(-0.932753\pi\)
0.789955 0.613165i \(-0.210104\pi\)
\(410\) −8321.01 −1.00231
\(411\) −3190.43 −0.382901
\(412\) 2862.27 + 12540.4i 0.342267 + 1.49957i
\(413\) −10045.5 + 8668.11i −1.19687 + 1.03276i
\(414\) 10.4117 45.6167i 0.00123601 0.00541531i
\(415\) −1577.18 + 6910.10i −0.186556 + 0.817357i
\(416\) 3189.55 3999.57i 0.375915 0.471382i
\(417\) 3666.86 4598.10i 0.430616 0.539975i
\(418\) −4285.40 + 18775.6i −0.501449 + 2.19699i
\(419\) 965.281 4229.17i 0.112547 0.493099i −0.886965 0.461838i \(-0.847190\pi\)
0.999511 0.0312618i \(-0.00995255\pi\)
\(420\) −8868.78 + 2389.00i −1.03036 + 0.277551i
\(421\) 747.009 + 3272.86i 0.0864774 + 0.378882i 0.999584 0.0288385i \(-0.00918084\pi\)
−0.913107 + 0.407721i \(0.866324\pi\)
\(422\) 6125.31 0.706576
\(423\) 16.4694 0.00189307
\(424\) −2218.43 9719.57i −0.254095 1.11326i
\(425\) 8760.72 + 4218.94i 0.999900 + 0.481526i
\(426\) −7605.28 + 9536.72i −0.864969 + 1.08464i
\(427\) −8712.79 1636.58i −0.987451 0.185479i
\(428\) 5961.96 + 7476.06i 0.673323 + 0.844320i
\(429\) −1722.41 7546.38i −0.193843 0.849283i
\(430\) 6111.27 + 7663.29i 0.685376 + 0.859434i
\(431\) −3330.68 1603.97i −0.372235 0.179259i 0.238408 0.971165i \(-0.423375\pi\)
−0.610643 + 0.791906i \(0.709089\pi\)
\(432\) −10175.6 + 12759.8i −1.13327 + 1.42108i
\(433\) 12441.4 5991.47i 1.38082 0.664969i 0.411648 0.911343i \(-0.364953\pi\)
0.969175 + 0.246374i \(0.0792391\pi\)
\(434\) −7279.78 + 1960.97i −0.805163 + 0.216888i
\(435\) 1942.92 + 935.661i 0.214151 + 0.103130i
\(436\) 21340.4 10277.0i 2.34408 1.12885i
\(437\) 2299.37 10074.2i 0.251702 1.10278i
\(438\) 9376.57 4515.52i 1.02290 0.492602i
\(439\) 6820.29 + 8552.37i 0.741491 + 0.929800i 0.999338 0.0363854i \(-0.0115844\pi\)
−0.257847 + 0.966186i \(0.583013\pi\)
\(440\) −14571.3 −1.57877
\(441\) −21.2663 + 1.65046i −0.00229633 + 0.000178217i
\(442\) 14115.1 1.51897
\(443\) −5817.66 7295.12i −0.623940 0.782396i 0.364953 0.931026i \(-0.381085\pi\)
−0.988893 + 0.148630i \(0.952514\pi\)
\(444\) −20751.9 + 9993.59i −2.21811 + 1.06819i
\(445\) −684.425 + 2998.66i −0.0729098 + 0.319439i
\(446\) 21007.7 10116.8i 2.23036 1.07409i
\(447\) 4078.49 + 1964.10i 0.431557 + 0.207827i
\(448\) −117.072 220.800i −0.0123462 0.0232854i
\(449\) −11783.1 + 5674.46i −1.23849 + 0.596423i −0.934402 0.356222i \(-0.884065\pi\)
−0.304085 + 0.952645i \(0.598351\pi\)
\(450\) −19.1836 + 24.0555i −0.00200961 + 0.00251997i
\(451\) −14971.6 7209.93i −1.56316 0.752777i
\(452\) −14342.4 17984.8i −1.49250 1.87153i
\(453\) −2202.64 9650.40i −0.228453 1.00092i
\(454\) −3140.82 3938.47i −0.324683 0.407140i
\(455\) 2048.24 1767.39i 0.211040 0.182103i
\(456\) 11608.2 14556.3i 1.19212 1.49487i
\(457\) −3033.08 1460.65i −0.310463 0.149511i 0.272164 0.962251i \(-0.412261\pi\)
−0.582627 + 0.812740i \(0.697975\pi\)
\(458\) 6940.30 + 30407.5i 0.708077 + 3.10229i
\(459\) −14047.5 −1.42850
\(460\) 14062.8 1.42539
\(461\) −27.6675 121.219i −0.00279524 0.0122467i 0.973511 0.228640i \(-0.0734278\pi\)
−0.976306 + 0.216393i \(0.930571\pi\)
\(462\) −26031.9 4889.72i −2.62146 0.492404i
\(463\) −618.895 + 2711.55i −0.0621220 + 0.272174i −0.996444 0.0842554i \(-0.973149\pi\)
0.934322 + 0.356429i \(0.116006\pi\)
\(464\) −2030.23 + 8895.04i −0.203128 + 0.889961i
\(465\) 1369.76 1717.62i 0.136604 0.171296i
\(466\) −9428.89 + 11823.5i −0.937307 + 1.17535i
\(467\) 2625.68 11503.8i 0.260175 1.13990i −0.660887 0.750486i \(-0.729820\pi\)
0.921062 0.389416i \(-0.127323\pi\)
\(468\) −6.88251 + 30.1542i −0.000679795 + 0.00297838i
\(469\) 953.325 2192.98i 0.0938603 0.215911i
\(470\) 1590.54 + 6968.62i 0.156098 + 0.683912i
\(471\) −2594.31 −0.253799
\(472\) 36602.5 3.56942
\(473\) 4355.67 + 19083.4i 0.423412 + 1.85509i
\(474\) −25060.5 12068.5i −2.42841 1.16946i
\(475\) −4236.60 + 5312.53i −0.409239 + 0.513169i
\(476\) 13335.0 30675.2i 1.28405 2.95377i
\(477\) 7.56598 + 9.48744i 0.000726252 + 0.000910691i
\(478\) 5736.59 + 25133.7i 0.548924 + 2.40499i
\(479\) −1849.99 2319.81i −0.176468 0.221284i 0.685729 0.727857i \(-0.259483\pi\)
−0.862197 + 0.506573i \(0.830912\pi\)
\(480\) 4595.83 + 2213.24i 0.437021 + 0.210458i
\(481\) 4229.88 5304.10i 0.400969 0.502799i
\(482\) −16142.7 + 7773.90i −1.52547 + 0.734630i
\(483\) 13967.7 + 2623.63i 1.31584 + 0.247162i
\(484\) −25551.6 12305.0i −2.39966 1.15561i
\(485\) 4460.55 2148.09i 0.417615 0.201113i
\(486\) 19.8049 86.7709i 0.00184849 0.00809878i
\(487\) 12626.1 6080.42i 1.17483 0.565771i 0.258433 0.966029i \(-0.416794\pi\)
0.916402 + 0.400259i \(0.131080\pi\)
\(488\) 15247.9 + 19120.3i 1.41443 + 1.77364i
\(489\) −7938.71 −0.734153
\(490\) −2752.17 8838.95i −0.253735 0.814904i
\(491\) −12923.4 −1.18783 −0.593914 0.804528i \(-0.702418\pi\)
−0.593914 + 0.804528i \(0.702418\pi\)
\(492\) 18016.0 + 22591.3i 1.65086 + 2.07011i
\(493\) −7075.46 + 3407.36i −0.646374 + 0.311277i
\(494\) −2194.89 + 9616.43i −0.199904 + 0.875837i
\(495\) 15.9797 7.69543i 0.00145098 0.000698755i
\(496\) 8374.42 + 4032.91i 0.758110 + 0.365086i
\(497\) −6856.94 5046.61i −0.618865 0.455476i
\(498\) 32022.3 15421.1i 2.88143 1.38762i
\(499\) 35.8296 44.9289i 0.00321433 0.00403065i −0.780222 0.625503i \(-0.784894\pi\)
0.783436 + 0.621472i \(0.213465\pi\)
\(500\) −19068.2 9182.77i −1.70551 0.821332i
\(501\) 8438.84 + 10582.0i 0.752534 + 0.943648i
\(502\) 1806.57 + 7915.09i 0.160620 + 0.703720i
\(503\) −3875.73 4860.01i −0.343559 0.430810i 0.579793 0.814764i \(-0.303133\pi\)
−0.923352 + 0.383954i \(0.874562\pi\)
\(504\) 47.3908 + 34.8790i 0.00418840 + 0.00308260i
\(505\) −336.862 + 422.411i −0.0296835 + 0.0372219i
\(506\) 36537.7 + 17595.6i 3.21007 + 1.54589i
\(507\) 1661.03 + 7277.45i 0.145501 + 0.637481i
\(508\) 14694.6 1.28340
\(509\) −16055.3 −1.39811 −0.699057 0.715066i \(-0.746397\pi\)
−0.699057 + 0.715066i \(0.746397\pi\)
\(510\) 3131.91 + 13721.8i 0.271928 + 1.19139i
\(511\) 3402.75 + 6417.69i 0.294577 + 0.555581i
\(512\) 5789.91 25367.2i 0.499766 2.18962i
\(513\) 2184.38 9570.40i 0.187998 0.823672i
\(514\) 5358.78 6719.70i 0.459855 0.576640i
\(515\) 2355.45 2953.64i 0.201541 0.252724i
\(516\) 7574.00 33183.9i 0.646176 2.83108i
\(517\) −3176.34 + 13916.5i −0.270204 + 1.18384i
\(518\) −10874.8 20510.3i −0.922419 1.73971i
\(519\) 780.145 + 3418.04i 0.0659818 + 0.289085i
\(520\) −7463.10 −0.629382
\(521\) −15272.6 −1.28427 −0.642137 0.766590i \(-0.721952\pi\)
−0.642137 + 0.766590i \(0.721952\pi\)
\(522\) −5.52950 24.2263i −0.000463639 0.00203134i
\(523\) 13142.0 + 6328.86i 1.09878 + 0.529143i 0.893273 0.449514i \(-0.148403\pi\)
0.205503 + 0.978656i \(0.434117\pi\)
\(524\) 6002.67 7527.11i 0.500435 0.627526i
\(525\) −7526.72 5539.56i −0.625701 0.460507i
\(526\) −23101.5 28968.4i −1.91497 2.40130i
\(527\) 1780.27 + 7799.86i 0.147153 + 0.644719i
\(528\) 20360.1 + 25530.7i 1.67814 + 2.10432i
\(529\) −8642.56 4162.04i −0.710328 0.342076i
\(530\) −3283.69 + 4117.62i −0.269122 + 0.337468i
\(531\) −40.1404 + 19.3306i −0.00328050 + 0.00157980i
\(532\) 18825.0 + 13854.9i 1.53415 + 1.12911i
\(533\) −7668.11 3692.77i −0.623157 0.300097i
\(534\) 13896.2 6692.05i 1.12612 0.542309i
\(535\) 624.935 2738.02i 0.0505015 0.221262i
\(536\) −5943.28 + 2862.13i −0.478937 + 0.230644i
\(537\) 197.522 + 247.685i 0.0158728 + 0.0199039i
\(538\) −7910.85 −0.633942
\(539\) 2706.87 18288.2i 0.216314 1.46146i
\(540\) 13359.5 1.06463
\(541\) 6111.82 + 7663.98i 0.485707 + 0.609058i 0.962939 0.269720i \(-0.0869311\pi\)
−0.477231 + 0.878778i \(0.658360\pi\)
\(542\) −37844.9 + 18225.1i −2.99922 + 1.44435i
\(543\) −1517.89 + 6650.29i −0.119961 + 0.525583i
\(544\) −16736.5 + 8059.86i −1.31906 + 0.635227i
\(545\) −6267.67 3018.35i −0.492620 0.237233i
\(546\) −13333.0 2504.41i −1.04505 0.196298i
\(547\) 12894.2 6209.52i 1.00789 0.485374i 0.144282 0.989537i \(-0.453913\pi\)
0.863609 + 0.504162i \(0.168199\pi\)
\(548\) −6889.18 + 8638.76i −0.537028 + 0.673412i
\(549\) −26.8196 12.9156i −0.00208494 0.00100405i
\(550\) −16626.8 20849.4i −1.28904 1.61640i
\(551\) −1221.16 5350.26i −0.0944160 0.413664i
\(552\) −24444.3 30652.1i −1.88481 2.36348i
\(553\) 7740.00 17804.7i 0.595187 1.36914i
\(554\) −1700.64 + 2132.53i −0.130421 + 0.163543i
\(555\) 6094.84 + 2935.12i 0.466147 + 0.224485i
\(556\) −4532.37 19857.6i −0.345711 1.51466i
\(557\) 16785.3 1.27687 0.638436 0.769675i \(-0.279582\pi\)
0.638436 + 0.769675i \(0.279582\pi\)
\(558\) −25.3154 −0.00192058
\(559\) 2230.88 + 9774.11i 0.168794 + 0.739536i
\(560\) −4550.18 + 10467.0i −0.343358 + 0.789843i
\(561\) −6254.47 + 27402.6i −0.470702 + 2.06228i
\(562\) 7520.85 32951.0i 0.564498 2.47323i
\(563\) 5167.37 6479.68i 0.386818 0.485055i −0.549855 0.835260i \(-0.685317\pi\)
0.936673 + 0.350206i \(0.113888\pi\)
\(564\) 15475.9 19406.2i 1.15541 1.44884i
\(565\) −1503.37 + 6586.72i −0.111942 + 0.490452i
\(566\) −235.051 + 1029.83i −0.0174557 + 0.0764785i
\(567\) 13299.7 + 2498.16i 0.985071 + 0.185032i
\(568\) 5226.27 + 22897.8i 0.386073 + 1.69150i
\(569\) 10278.9 0.757319 0.378660 0.925536i \(-0.376385\pi\)
0.378660 + 0.925536i \(0.376385\pi\)
\(570\) −9835.48 −0.722742
\(571\) 5565.43 + 24383.7i 0.407891 + 1.78709i 0.593899 + 0.804540i \(0.297588\pi\)
−0.186007 + 0.982548i \(0.559555\pi\)
\(572\) −24152.7 11631.3i −1.76551 0.850227i
\(573\) 1661.90 2083.96i 0.121164 0.151935i
\(574\) −22049.8 + 19026.4i −1.60338 + 1.38353i
\(575\) 8921.29 + 11186.9i 0.647032 + 0.811353i
\(576\) −0.186733 0.818133i −1.35079e−5 5.91820e-5i
\(577\) −10691.7 13407.0i −0.771406 0.967313i 0.228575 0.973526i \(-0.426594\pi\)
−0.999981 + 0.00621371i \(0.998022\pi\)
\(578\) −23601.5 11365.9i −1.69843 0.817921i
\(579\) 2285.21 2865.56i 0.164024 0.205680i
\(580\) 6728.90 3240.47i 0.481729 0.231988i
\(581\) 11620.9 + 21917.3i 0.829802 + 1.56503i
\(582\) −22367.6 10771.7i −1.59307 0.767182i
\(583\) −9476.00 + 4563.40i −0.673166 + 0.324180i
\(584\) 4459.03 19536.3i 0.315952 1.38428i
\(585\) 8.18447 3.94143i 0.000578438 0.000278561i
\(586\) 22113.0 + 27728.9i 1.55884 + 1.95473i
\(587\) 27120.0 1.90692 0.953461 0.301518i \(-0.0974932\pi\)
0.953461 + 0.301518i \(0.0974932\pi\)
\(588\) −18038.7 + 26609.4i −1.26514 + 1.86625i
\(589\) −5590.77 −0.391110
\(590\) −12055.9 15117.6i −0.841242 1.05488i
\(591\) 12847.1 6186.83i 0.894177 0.430613i
\(592\) −6368.74 + 27903.3i −0.442152 + 1.93719i
\(593\) −5021.26 + 2418.11i −0.347721 + 0.167454i −0.599589 0.800308i \(-0.704669\pi\)
0.251868 + 0.967762i \(0.418955\pi\)
\(594\) 34710.4 + 16715.7i 2.39762 + 1.15463i
\(595\) −9485.67 + 2555.17i −0.653570 + 0.176054i
\(596\) 14125.0 6802.24i 0.970776 0.467501i
\(597\) −1299.38 + 1629.37i −0.0890787 + 0.111701i
\(598\) 18713.8 + 9012.09i 1.27971 + 0.616274i
\(599\) 15196.3 + 19055.6i 1.03657 + 1.29982i 0.952887 + 0.303326i \(0.0980970\pi\)
0.0836835 + 0.996492i \(0.473332\pi\)
\(600\) 5736.77 + 25134.4i 0.390338 + 1.71018i
\(601\) 542.760 + 680.600i 0.0368380 + 0.0461934i 0.799909 0.600121i \(-0.204881\pi\)
−0.763071 + 0.646314i \(0.776309\pi\)
\(602\) 33716.6 + 6333.20i 2.28270 + 0.428774i
\(603\) 5.00618 6.27755i 0.000338089 0.000423950i
\(604\) −30886.7 14874.3i −2.08073 1.00203i
\(605\) 1853.46 + 8120.54i 0.124552 + 0.545697i
\(606\) 2709.27 0.181612
\(607\) −5793.66 −0.387409 −0.193705 0.981060i \(-0.562050\pi\)
−0.193705 + 0.981060i \(0.562050\pi\)
\(608\) −2888.57 12655.6i −0.192676 0.844168i
\(609\) 7287.96 1963.17i 0.484931 0.130627i
\(610\) 2874.82 12595.4i 0.190816 0.836021i
\(611\) −1626.85 + 7127.70i −0.107718 + 0.471941i
\(612\) 70.0259 87.8098i 0.00462521 0.00579983i
\(613\) 8963.70 11240.1i 0.590605 0.740595i −0.393276 0.919420i \(-0.628658\pi\)
0.983881 + 0.178826i \(0.0572298\pi\)
\(614\) 1267.01 5551.14i 0.0832775 0.364863i
\(615\) 1888.44 8273.81i 0.123820 0.542491i
\(616\) −38612.4 + 33317.9i −2.52555 + 2.17925i
\(617\) 4298.32 + 18832.2i 0.280460 + 1.22878i 0.897205 + 0.441614i \(0.145594\pi\)
−0.616745 + 0.787163i \(0.711549\pi\)
\(618\) −18944.1 −1.23308
\(619\) 29421.5 1.91042 0.955209 0.295932i \(-0.0956302\pi\)
0.955209 + 0.295932i \(0.0956302\pi\)
\(620\) −1693.07 7417.82i −0.109670 0.480495i
\(621\) −18624.2 8968.95i −1.20349 0.579568i
\(622\) −17615.7 + 22089.4i −1.13557 + 1.42396i
\(623\) 5042.92 + 9511.09i 0.324302 + 0.611643i
\(624\) 10428.0 + 13076.3i 0.668996 + 0.838895i
\(625\) −1314.91 5760.99i −0.0841542 0.368704i
\(626\) −19976.2 25049.3i −1.27541 1.59932i
\(627\) −17696.5 8522.18i −1.12716 0.542812i
\(628\) −5601.96 + 7024.64i −0.355959 + 0.446359i
\(629\) −22195.3 + 10688.7i −1.40697 + 0.677563i
\(630\) −1.20352 31.0616i −7.61104e−5 0.00196432i
\(631\) −15620.0 7522.19i −0.985455 0.474570i −0.129477 0.991582i \(-0.541330\pi\)
−0.855978 + 0.517012i \(0.827044\pi\)
\(632\) −48253.1 + 23237.5i −3.03704 + 1.46256i
\(633\) −1390.13 + 6090.56i −0.0872871 + 0.382430i
\(634\) 3712.80 1787.99i 0.232577 0.112003i
\(635\) −2690.87 3374.25i −0.168164 0.210871i
\(636\) 18288.8 1.14025
\(637\) 1386.40 9366.80i 0.0862342 0.582615i
\(638\) 21537.5 1.33648
\(639\) −17.8243 22.3509i −0.00110347 0.00138371i
\(640\) −6739.47 + 3245.56i −0.416252 + 0.200456i
\(641\) 4109.31 18004.1i 0.253211 1.10939i −0.675142 0.737688i \(-0.735918\pi\)
0.928353 0.371700i \(-0.121225\pi\)
\(642\) −12688.3 + 6110.38i −0.780014 + 0.375635i
\(643\) −18600.7 8957.65i −1.14081 0.549386i −0.234550 0.972104i \(-0.575362\pi\)
−0.906261 + 0.422718i \(0.861076\pi\)
\(644\) 37264.8 32155.1i 2.28019 1.96753i
\(645\) −9006.76 + 4337.43i −0.549831 + 0.264785i
\(646\) 22331.8 28003.2i 1.36011 1.70553i
\(647\) 12096.0 + 5825.11i 0.734994 + 0.353955i 0.763646 0.645635i \(-0.223407\pi\)
−0.0286521 + 0.999589i \(0.509121\pi\)
\(648\) −23275.3 29186.3i −1.41102 1.76936i
\(649\) −8592.55 37646.4i −0.519703 2.27697i
\(650\) −8515.90 10678.6i −0.513879 0.644383i
\(651\) −297.709 7683.52i −0.0179234 0.462582i
\(652\) −17142.3 + 21495.8i −1.02967 + 1.29116i
\(653\) −5608.24 2700.79i −0.336091 0.161853i 0.258224 0.966085i \(-0.416863\pi\)
−0.594315 + 0.804232i \(0.702577\pi\)
\(654\) 7762.44 + 34009.5i 0.464121 + 2.03345i
\(655\) −2827.61 −0.168678
\(656\) 35905.7 2.13701
\(657\) 5.42752 + 23.7795i 0.000322295 + 0.00141207i
\(658\) 20148.8 + 14829.2i 1.19374 + 0.878578i
\(659\) 4035.61 17681.1i 0.238551 1.04516i −0.703765 0.710433i \(-0.748499\pi\)
0.942316 0.334726i \(-0.108644\pi\)
\(660\) 5948.13 26060.5i 0.350804 1.53697i
\(661\) −2573.22 + 3226.71i −0.151417 + 0.189871i −0.851755 0.523941i \(-0.824461\pi\)
0.700338 + 0.713812i \(0.253033\pi\)
\(662\) 1073.85 1346.56i 0.0630457 0.0790568i
\(663\) −3203.40 + 14035.0i −0.187647 + 0.822134i
\(664\) 15228.2 66719.1i 0.890013 3.89940i
\(665\) −265.792 6859.79i −0.0154992 0.400017i
\(666\) −17.3458 75.9968i −0.00100921 0.00442164i
\(667\) −11556.1 −0.670848
\(668\) 46875.2 2.71505
\(669\) 5291.71 + 23184.5i 0.305813 + 1.33986i
\(670\) 3139.67 + 1511.99i 0.181039 + 0.0871838i
\(671\) 16086.1 20171.3i 0.925480 1.16052i
\(672\) 17239.1 4643.74i 0.989603 0.266571i
\(673\) 6977.97 + 8750.09i 0.399674 + 0.501176i 0.940422 0.340009i \(-0.110430\pi\)
−0.540748 + 0.841185i \(0.681859\pi\)
\(674\) 5294.67 + 23197.5i 0.302586 + 1.32572i
\(675\) 8475.14 + 10627.5i 0.483272 + 0.606003i
\(676\) 23291.9 + 11216.8i 1.32521 + 0.638189i
\(677\) 1781.07 2233.39i 0.101111 0.126789i −0.728702 0.684831i \(-0.759876\pi\)
0.829813 + 0.558042i \(0.188447\pi\)
\(678\) 30523.7 14699.4i 1.72899 0.832637i
\(679\) 6908.28 15891.5i 0.390450 0.898171i
\(680\) 24416.5 + 11758.4i 1.37695 + 0.663106i
\(681\) 4628.93 2229.18i 0.260471 0.125436i
\(682\) 4882.42 21391.3i 0.274131 1.20105i
\(683\) 7386.57 3557.18i 0.413820 0.199285i −0.215377 0.976531i \(-0.569098\pi\)
0.629197 + 0.777246i \(0.283384\pi\)
\(684\) 48.9347 + 61.3621i 0.00273547 + 0.00343017i
\(685\) 3245.21 0.181012
\(686\) −27503.6 17129.3i −1.53075 0.953352i
\(687\) −31810.1 −1.76656
\(688\) −26370.5 33067.6i −1.46129 1.83240i
\(689\) −4853.40 + 2337.27i −0.268360 + 0.129235i
\(690\) −4608.68 + 20192.0i −0.254275 + 1.11405i
\(691\) −12894.4 + 6209.63i −0.709880 + 0.341860i −0.753736 0.657177i \(-0.771750\pi\)
0.0438554 + 0.999038i \(0.486036\pi\)
\(692\) 10939.7 + 5268.26i 0.600959 + 0.289406i
\(693\) 24.7486 56.9304i 0.00135660 0.00312064i
\(694\) −16026.7 + 7718.06i −0.876608 + 0.422152i
\(695\) −3729.82 + 4677.05i −0.203569 + 0.255267i
\(696\) −18759.5 9034.09i −1.02166 0.492006i
\(697\) 19269.1 + 24162.7i 1.04716 + 1.31310i
\(698\) 1922.71 + 8423.94i 0.104263 + 0.456806i
\(699\) −9616.51 12058.7i −0.520357 0.652507i
\(700\) −31252.2 + 8418.47i −1.68746 + 0.454555i
\(701\) 2541.81 3187.33i 0.136951 0.171731i −0.708626 0.705584i \(-0.750685\pi\)
0.845578 + 0.533852i \(0.179256\pi\)
\(702\) 17777.9 + 8561.39i 0.955818 + 0.460298i
\(703\) −3830.72 16783.5i −0.205517 0.900429i
\(704\) 727.329 0.0389378
\(705\) −7290.06 −0.389446
\(706\) 8760.92 + 38384.1i 0.467028 + 2.04618i
\(707\) 73.2149 + 1889.59i 0.00389467 + 0.100517i
\(708\) −14941.4 + 65462.7i −0.793127 + 3.47492i
\(709\) −2416.85 + 10588.9i −0.128021 + 0.560895i 0.869710 + 0.493563i \(0.164306\pi\)
−0.997731 + 0.0673321i \(0.978551\pi\)
\(710\) 7735.87 9700.47i 0.408904 0.512750i
\(711\) 40.6449 50.9671i 0.00214389 0.00268835i
\(712\) 6608.33 28953.0i 0.347834 1.52396i
\(713\) −2619.71 + 11477.7i −0.137600 + 0.602866i
\(714\) 39674.7 + 29200.0i 2.07953 + 1.53051i
\(715\) 1751.99 + 7675.96i 0.0916372 + 0.401489i
\(716\) 1097.18 0.0572673
\(717\) −26293.0 −1.36950
\(718\) −8705.98 38143.4i −0.452513 1.98259i
\(719\) 14758.4 + 7107.25i 0.765499 + 0.368645i 0.775535 0.631305i \(-0.217480\pi\)
−0.0100358 + 0.999950i \(0.503195\pi\)
\(720\) −23.8943 + 29.9625i −0.00123679 + 0.00155088i
\(721\) −511.942 13212.6i −0.0264435 0.682475i
\(722\) −6207.31 7783.72i −0.319962 0.401219i
\(723\) −4066.24 17815.4i −0.209164 0.916406i
\(724\) 14729.5 + 18470.2i 0.756100 + 0.948119i
\(725\) 6846.55 + 3297.13i 0.350723 + 0.168900i
\(726\) 26041.9 32655.5i 1.33127 1.66936i
\(727\) 10888.9 5243.83i 0.555499 0.267514i −0.135002 0.990845i \(-0.543104\pi\)
0.690502 + 0.723331i \(0.257390\pi\)
\(728\) −19776.4 + 17064.7i −1.00682 + 0.868764i
\(729\) −17692.7 8520.37i −0.898884 0.432880i
\(730\) −9537.57 + 4593.05i −0.483563 + 0.232872i
\(731\) 8100.83 35492.0i 0.409877 1.79579i
\(732\) −40420.5 + 19465.5i −2.04096 + 0.982876i
\(733\) −7327.98 9189.00i −0.369257 0.463033i 0.562138 0.827043i \(-0.309979\pi\)
−0.931395 + 0.364010i \(0.881407\pi\)
\(734\) −51592.6 −2.59444
\(735\) 9413.41 730.568i 0.472407 0.0366631i
\(736\) −27335.2 −1.36901
\(737\) 4338.96 + 5440.89i 0.216863 + 0.271937i
\(738\) −88.1075 + 42.4303i −0.00439469 + 0.00211637i
\(739\) 4890.29 21425.8i 0.243427 1.06652i −0.694446 0.719544i \(-0.744351\pi\)
0.937873 0.346978i \(-0.112792\pi\)
\(740\) 21108.2 10165.2i 1.04859 0.504973i
\(741\) −9063.75 4364.87i −0.449346 0.216394i
\(742\) 713.691 + 18419.6i 0.0353106 + 0.911325i
\(743\) −23588.8 + 11359.8i −1.16472 + 0.560901i −0.913424 0.407009i \(-0.866572\pi\)
−0.251298 + 0.967910i \(0.580858\pi\)
\(744\) −13225.4 + 16584.2i −0.651704 + 0.817211i
\(745\) −4148.52 1997.82i −0.204013 0.0982477i
\(746\) 15183.6 + 19039.6i 0.745189 + 0.934438i
\(747\) 18.5357 + 81.2103i 0.000907880 + 0.00397768i
\(748\) 60693.0 + 76106.6i 2.96678 + 3.72023i
\(749\) −4604.59 8684.40i −0.224630 0.423660i
\(750\) 19434.1 24369.6i 0.946178 1.18647i
\(751\) 10658.0 + 5132.63i 0.517865 + 0.249391i 0.674512 0.738264i \(-0.264354\pi\)
−0.156647 + 0.987655i \(0.550068\pi\)
\(752\) −6863.29 30070.0i −0.332817 1.45817i
\(753\) −8280.18 −0.400726
\(754\) 11031.0 0.532793
\(755\) 2240.46 + 9816.11i 0.107998 + 0.473172i
\(756\) 35401.2 30547.1i 1.70308 1.46956i
\(757\) −3142.50 + 13768.2i −0.150880 + 0.661047i 0.841751 + 0.539866i \(0.181525\pi\)
−0.992630 + 0.121181i \(0.961332\pi\)
\(758\) −7070.90 + 30979.6i −0.338821 + 1.48447i
\(759\) −25788.0 + 32337.1i −1.23326 + 1.54646i
\(760\) −11807.6 + 14806.2i −0.563560 + 0.706681i
\(761\) −5910.94 + 25897.5i −0.281566 + 1.23362i 0.614220 + 0.789135i \(0.289471\pi\)
−0.895786 + 0.444486i \(0.853386\pi\)
\(762\) −4815.76 + 21099.2i −0.228946 + 1.00308i
\(763\) −23510.2 + 6333.00i −1.11550 + 0.300485i
\(764\) −2054.17 8999.92i −0.0972740 0.426185i
\(765\) −32.9863 −0.00155899
\(766\) −67300.2 −3.17449
\(767\) −4400.91 19281.7i −0.207181 0.907719i
\(768\) 34301.3 + 16518.6i 1.61164 + 0.776126i
\(769\) −20541.1 + 25757.7i −0.963238 + 1.20786i 0.0148971 + 0.999889i \(0.495258\pi\)
−0.978135 + 0.207973i \(0.933313\pi\)
\(770\) 26478.9 + 4973.68i 1.23926 + 0.232778i