Properties

Label 45.4.e.b.16.2
Level $45$
Weight $4$
Character 45.16
Analytic conductor $2.655$
Analytic rank $0$
Dimension $6$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 45 = 3^{2} \cdot 5 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 45.e (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.65508595026\)
Analytic rank: \(0\)
Dimension: \(6\)
Relative dimension: \(3\) over \(\Q(\zeta_{3})\)
Coefficient field: 6.0.15759792.1
Defining polynomial: \( x^{6} - 3x^{5} + 16x^{4} - 27x^{3} + 52x^{2} - 39x + 9 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{4}]\)
Coefficient ring index: \( 3 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 16.2
Root \(0.500000 - 1.98116i\) of defining polynomial
Character \(\chi\) \(=\) 45.16
Dual form 45.4.e.b.31.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0874923 - 0.151541i) q^{2} +(5.19394 + 0.151541i) q^{3} +(3.98469 + 6.90169i) q^{4} +(-2.50000 - 4.33013i) q^{5} +(0.477395 - 0.773837i) q^{6} +(-4.23186 + 7.32979i) q^{7} +2.79440 q^{8} +(26.9541 + 1.57419i) q^{9} +O(q^{10})\) \(q+(0.0874923 - 0.151541i) q^{2} +(5.19394 + 0.151541i) q^{3} +(3.98469 + 6.90169i) q^{4} +(-2.50000 - 4.33013i) q^{5} +(0.477395 - 0.773837i) q^{6} +(-4.23186 + 7.32979i) q^{7} +2.79440 q^{8} +(26.9541 + 1.57419i) q^{9} -0.874923 q^{10} +(15.7541 - 27.2870i) q^{11} +(19.6504 + 36.4508i) q^{12} +(-13.4348 - 23.2697i) q^{13} +(0.740510 + 1.28260i) q^{14} +(-12.3287 - 22.8693i) q^{15} +(-31.6330 + 54.7900i) q^{16} -44.3307 q^{17} +(2.59683 - 3.94692i) q^{18} -90.2082 q^{19} +(19.9235 - 34.5084i) q^{20} +(-23.0908 + 37.4292i) q^{21} +(-2.75673 - 4.77480i) q^{22} +(-97.1287 - 168.232i) q^{23} +(14.5139 + 0.423466i) q^{24} +(-12.5000 + 21.6506i) q^{25} -4.70176 q^{26} +(139.759 + 12.2609i) q^{27} -67.4506 q^{28} +(-1.87186 + 3.24215i) q^{29} +(-4.54430 - 0.132587i) q^{30} +(125.832 + 217.947i) q^{31} +(16.7129 + 28.9476i) q^{32} +(85.9611 - 139.339i) q^{33} +(-3.87859 + 6.71792i) q^{34} +42.3186 q^{35} +(96.5390 + 192.301i) q^{36} -62.2293 q^{37} +(-7.89252 + 13.6703i) q^{38} +(-66.2532 - 122.898i) q^{39} +(-6.98599 - 12.1001i) q^{40} +(102.173 + 176.969i) q^{41} +(3.65180 + 6.77397i) q^{42} +(263.831 - 456.968i) q^{43} +251.101 q^{44} +(-60.5687 - 120.650i) q^{45} -33.9920 q^{46} +(-77.8637 + 134.864i) q^{47} +(-172.603 + 279.782i) q^{48} +(135.683 + 235.009i) q^{49} +(2.18731 + 3.78853i) q^{50} +(-230.251 - 6.71792i) q^{51} +(107.067 - 185.445i) q^{52} -141.694 q^{53} +(14.0859 - 20.1065i) q^{54} -157.541 q^{55} +(-11.8255 + 20.4823i) q^{56} +(-468.536 - 13.6703i) q^{57} +(0.327546 + 0.567326i) q^{58} +(246.923 + 427.683i) q^{59} +(108.711 - 176.216i) q^{60} +(379.742 - 657.732i) q^{61} +44.0373 q^{62} +(-125.604 + 190.906i) q^{63} -500.280 q^{64} +(-67.1739 + 116.349i) q^{65} +(-13.5947 - 25.2178i) q^{66} +(271.795 + 470.763i) q^{67} +(-176.644 - 305.956i) q^{68} +(-478.987 - 888.505i) q^{69} +(3.70255 - 6.41300i) q^{70} -928.207 q^{71} +(75.3203 + 4.39891i) q^{72} +608.739 q^{73} +(-5.44459 + 9.43030i) q^{74} +(-68.2052 + 110.558i) q^{75} +(-359.452 - 622.589i) q^{76} +(133.338 + 230.949i) q^{77} +(-24.4207 - 0.712510i) q^{78} +(-307.420 + 532.467i) q^{79} +316.330 q^{80} +(724.044 + 84.8617i) q^{81} +35.7573 q^{82} +(-537.655 + 931.246i) q^{83} +(-350.334 - 10.2215i) q^{84} +(110.827 + 191.957i) q^{85} +(-46.1663 - 79.9623i) q^{86} +(-10.2136 + 16.5559i) q^{87} +(44.0233 - 76.2506i) q^{88} +1505.15 q^{89} +(-23.5827 - 1.37730i) q^{90} +227.416 q^{91} +(774.055 - 1340.70i) q^{92} +(620.536 + 1151.07i) q^{93} +(13.6249 + 23.5991i) q^{94} +(225.521 + 390.613i) q^{95} +(82.4190 + 152.885i) q^{96} +(166.369 - 288.160i) q^{97} +47.4848 q^{98} +(467.593 - 710.695i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6 q + q^{2} + 9 q^{3} - 11 q^{4} - 15 q^{5} + 84 q^{6} + 43 q^{7} - 54 q^{8} + 57 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 6 q + q^{2} + 9 q^{3} - 11 q^{4} - 15 q^{5} + 84 q^{6} + 43 q^{7} - 54 q^{8} + 57 q^{9} - 10 q^{10} - 14 q^{11} + 75 q^{12} - 40 q^{13} + 27 q^{14} - 15 q^{15} + 13 q^{16} - 332 q^{17} + 3 q^{18} - 328 q^{19} - 55 q^{20} - 144 q^{21} + 376 q^{22} - 171 q^{23} - 63 q^{24} - 75 q^{25} + 868 q^{26} + 162 q^{27} - 1034 q^{28} + 335 q^{29} - 315 q^{30} + 352 q^{31} + 77 q^{32} - 708 q^{33} + 52 q^{34} - 430 q^{35} + 1086 q^{36} + 804 q^{37} + 178 q^{38} - 390 q^{39} + 135 q^{40} - 187 q^{41} + 513 q^{42} + 602 q^{43} + 1964 q^{44} + 330 q^{45} - 402 q^{46} - 665 q^{47} - 1074 q^{48} - 430 q^{49} + 25 q^{50} - 180 q^{51} + 456 q^{52} - 1460 q^{53} + 639 q^{54} + 140 q^{55} - 705 q^{56} - 486 q^{57} - 217 q^{58} + 298 q^{59} - 150 q^{60} + 1439 q^{61} - 3228 q^{62} + 2205 q^{63} - 3138 q^{64} - 200 q^{65} - 966 q^{66} + 1849 q^{67} + 710 q^{68} - 873 q^{69} + 135 q^{70} + 140 q^{71} + 261 q^{72} - 736 q^{73} + 320 q^{74} - 150 q^{75} - 204 q^{76} + 948 q^{77} - 432 q^{78} + 382 q^{79} - 130 q^{80} - 1251 q^{81} - 1150 q^{82} + 831 q^{83} - 909 q^{84} + 830 q^{85} - 1580 q^{86} + 258 q^{87} + 1428 q^{88} + 3438 q^{89} + 375 q^{90} - 1420 q^{91} + 1623 q^{92} + 2178 q^{93} + 2077 q^{94} + 820 q^{95} + 1155 q^{96} + 282 q^{97} + 4328 q^{98} - 762 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/45\mathbb{Z}\right)^\times\).

\(n\) \(11\) \(37\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0874923 0.151541i 0.0309332 0.0535779i −0.850144 0.526550i \(-0.823485\pi\)
0.881078 + 0.472972i \(0.156819\pi\)
\(3\) 5.19394 + 0.151541i 0.999575 + 0.0291641i
\(4\) 3.98469 + 6.90169i 0.498086 + 0.862711i
\(5\) −2.50000 4.33013i −0.223607 0.387298i
\(6\) 0.477395 0.773837i 0.0324826 0.0526529i
\(7\) −4.23186 + 7.32979i −0.228499 + 0.395772i −0.957363 0.288886i \(-0.906715\pi\)
0.728865 + 0.684658i \(0.240048\pi\)
\(8\) 2.79440 0.123496
\(9\) 26.9541 + 1.57419i 0.998299 + 0.0583034i
\(10\) −0.874923 −0.0276675
\(11\) 15.7541 27.2870i 0.431823 0.747939i −0.565208 0.824949i \(-0.691204\pi\)
0.997030 + 0.0770098i \(0.0245373\pi\)
\(12\) 19.6504 + 36.4508i 0.472714 + 0.876870i
\(13\) −13.4348 23.2697i −0.286626 0.496451i 0.686376 0.727247i \(-0.259200\pi\)
−0.973002 + 0.230796i \(0.925867\pi\)
\(14\) 0.740510 + 1.28260i 0.0141364 + 0.0244850i
\(15\) −12.3287 22.8693i −0.212216 0.393655i
\(16\) −31.6330 + 54.7900i −0.494266 + 0.856094i
\(17\) −44.3307 −0.632457 −0.316229 0.948683i \(-0.602417\pi\)
−0.316229 + 0.948683i \(0.602417\pi\)
\(18\) 2.59683 3.94692i 0.0340044 0.0516832i
\(19\) −90.2082 −1.08922 −0.544610 0.838689i \(-0.683322\pi\)
−0.544610 + 0.838689i \(0.683322\pi\)
\(20\) 19.9235 34.5084i 0.222751 0.385816i
\(21\) −23.0908 + 37.4292i −0.239944 + 0.388939i
\(22\) −2.75673 4.77480i −0.0267153 0.0462723i
\(23\) −97.1287 168.232i −0.880553 1.52516i −0.850727 0.525608i \(-0.823838\pi\)
−0.0298265 0.999555i \(-0.509495\pi\)
\(24\) 14.5139 + 0.423466i 0.123443 + 0.00360165i
\(25\) −12.5000 + 21.6506i −0.100000 + 0.173205i
\(26\) −4.70176 −0.0354650
\(27\) 139.759 + 12.2609i 0.996174 + 0.0873931i
\(28\) −67.4506 −0.455248
\(29\) −1.87186 + 3.24215i −0.0119860 + 0.0207604i −0.871956 0.489584i \(-0.837149\pi\)
0.859970 + 0.510344i \(0.170482\pi\)
\(30\) −4.54430 0.132587i −0.0276557 0.000806898i
\(31\) 125.832 + 217.947i 0.729035 + 1.26273i 0.957292 + 0.289124i \(0.0933641\pi\)
−0.228257 + 0.973601i \(0.573303\pi\)
\(32\) 16.7129 + 28.9476i 0.0923265 + 0.159914i
\(33\) 85.9611 139.339i 0.453452 0.735027i
\(34\) −3.87859 + 6.71792i −0.0195639 + 0.0338857i
\(35\) 42.3186 0.204376
\(36\) 96.5390 + 192.301i 0.446940 + 0.890283i
\(37\) −62.2293 −0.276498 −0.138249 0.990397i \(-0.544147\pi\)
−0.138249 + 0.990397i \(0.544147\pi\)
\(38\) −7.89252 + 13.6703i −0.0336931 + 0.0583581i
\(39\) −66.2532 122.898i −0.272026 0.504599i
\(40\) −6.98599 12.1001i −0.0276145 0.0478298i
\(41\) 102.173 + 176.969i 0.389188 + 0.674094i 0.992341 0.123532i \(-0.0394223\pi\)
−0.603152 + 0.797626i \(0.706089\pi\)
\(42\) 3.65180 + 6.77397i 0.0134163 + 0.0248868i
\(43\) 263.831 456.968i 0.935669 1.62063i 0.162233 0.986752i \(-0.448130\pi\)
0.773436 0.633874i \(-0.218536\pi\)
\(44\) 251.101 0.860340
\(45\) −60.5687 120.650i −0.200646 0.399677i
\(46\) −33.9920 −0.108953
\(47\) −77.8637 + 134.864i −0.241651 + 0.418551i −0.961185 0.275906i \(-0.911022\pi\)
0.719534 + 0.694457i \(0.244355\pi\)
\(48\) −172.603 + 279.782i −0.519023 + 0.841315i
\(49\) 135.683 + 235.009i 0.395577 + 0.685159i
\(50\) 2.18731 + 3.78853i 0.00618664 + 0.0107156i
\(51\) −230.251 6.71792i −0.632188 0.0184450i
\(52\) 107.067 185.445i 0.285529 0.494551i
\(53\) −141.694 −0.367230 −0.183615 0.982998i \(-0.558780\pi\)
−0.183615 + 0.982998i \(0.558780\pi\)
\(54\) 14.0859 20.1065i 0.0354972 0.0506695i
\(55\) −157.541 −0.386234
\(56\) −11.8255 + 20.4823i −0.0282187 + 0.0488762i
\(57\) −468.536 13.6703i −1.08876 0.0317661i
\(58\) 0.327546 + 0.567326i 0.000741533 + 0.00128437i
\(59\) 246.923 + 427.683i 0.544857 + 0.943721i 0.998616 + 0.0525961i \(0.0167496\pi\)
−0.453758 + 0.891125i \(0.649917\pi\)
\(60\) 108.711 176.216i 0.233908 0.379156i
\(61\) 379.742 657.732i 0.797065 1.38056i −0.124455 0.992225i \(-0.539718\pi\)
0.921520 0.388331i \(-0.126948\pi\)
\(62\) 44.0373 0.0902055
\(63\) −125.604 + 190.906i −0.251185 + 0.381776i
\(64\) −500.280 −0.977108
\(65\) −67.1739 + 116.349i −0.128183 + 0.222020i
\(66\) −13.5947 25.2178i −0.0253545 0.0470317i
\(67\) 271.795 + 470.763i 0.495598 + 0.858401i 0.999987 0.00507574i \(-0.00161566\pi\)
−0.504389 + 0.863476i \(0.668282\pi\)
\(68\) −176.644 305.956i −0.315018 0.545627i
\(69\) −478.987 888.505i −0.835699 1.55019i
\(70\) 3.70255 6.41300i 0.00632199 0.0109500i
\(71\) −928.207 −1.55152 −0.775760 0.631028i \(-0.782633\pi\)
−0.775760 + 0.631028i \(0.782633\pi\)
\(72\) 75.3203 + 4.39891i 0.123286 + 0.00720024i
\(73\) 608.739 0.975993 0.487997 0.872845i \(-0.337728\pi\)
0.487997 + 0.872845i \(0.337728\pi\)
\(74\) −5.44459 + 9.43030i −0.00855298 + 0.0148142i
\(75\) −68.2052 + 110.558i −0.105009 + 0.170215i
\(76\) −359.452 622.589i −0.542526 0.939682i
\(77\) 133.338 + 230.949i 0.197342 + 0.341806i
\(78\) −24.4207 0.712510i −0.0354500 0.00103431i
\(79\) −307.420 + 532.467i −0.437816 + 0.758319i −0.997521 0.0703726i \(-0.977581\pi\)
0.559705 + 0.828692i \(0.310915\pi\)
\(80\) 316.330 0.442085
\(81\) 724.044 + 84.8617i 0.993201 + 0.116408i
\(82\) 35.7573 0.0481553
\(83\) −537.655 + 931.246i −0.711028 + 1.23154i 0.253444 + 0.967350i \(0.418437\pi\)
−0.964472 + 0.264186i \(0.914897\pi\)
\(84\) −350.334 10.2215i −0.455055 0.0132769i
\(85\) 110.827 + 191.957i 0.141422 + 0.244950i
\(86\) −46.1663 79.9623i −0.0578865 0.100262i
\(87\) −10.2136 + 16.5559i −0.0125864 + 0.0204020i
\(88\) 44.0233 76.2506i 0.0533284 0.0923675i
\(89\) 1505.15 1.79265 0.896324 0.443400i \(-0.146228\pi\)
0.896324 + 0.443400i \(0.146228\pi\)
\(90\) −23.5827 1.37730i −0.0276204 0.00161311i
\(91\) 227.416 0.261975
\(92\) 774.055 1340.70i 0.877183 1.51933i
\(93\) 620.536 + 1151.07i 0.691898 + 1.28345i
\(94\) 13.6249 + 23.5991i 0.0149501 + 0.0258943i
\(95\) 225.521 + 390.613i 0.243557 + 0.421853i
\(96\) 82.4190 + 152.885i 0.0876234 + 0.162539i
\(97\) 166.369 288.160i 0.174147 0.301631i −0.765719 0.643175i \(-0.777617\pi\)
0.939866 + 0.341544i \(0.110950\pi\)
\(98\) 47.4848 0.0489458
\(99\) 467.593 710.695i 0.474695 0.721490i
\(100\) −199.235 −0.199235
\(101\) 247.493 428.670i 0.243826 0.422319i −0.717975 0.696069i \(-0.754931\pi\)
0.961801 + 0.273750i \(0.0882640\pi\)
\(102\) −21.1632 + 34.3047i −0.0205438 + 0.0333007i
\(103\) 315.015 + 545.622i 0.301353 + 0.521959i 0.976443 0.215777i \(-0.0692284\pi\)
−0.675090 + 0.737736i \(0.735895\pi\)
\(104\) −37.5421 65.0248i −0.0353972 0.0613097i
\(105\) 219.800 + 6.41300i 0.204289 + 0.00596043i
\(106\) −12.3971 + 21.4725i −0.0113596 + 0.0196754i
\(107\) −1561.00 −1.41035 −0.705175 0.709034i \(-0.749131\pi\)
−0.705175 + 0.709034i \(0.749131\pi\)
\(108\) 472.277 + 1013.43i 0.420786 + 0.902939i
\(109\) −936.140 −0.822623 −0.411311 0.911495i \(-0.634929\pi\)
−0.411311 + 0.911495i \(0.634929\pi\)
\(110\) −13.7837 + 23.8740i −0.0119475 + 0.0206936i
\(111\) −323.215 9.43030i −0.276381 0.00806382i
\(112\) −267.733 463.727i −0.225878 0.391233i
\(113\) −677.490 1173.45i −0.564008 0.976890i −0.997141 0.0755602i \(-0.975925\pi\)
0.433134 0.901330i \(-0.357408\pi\)
\(114\) −43.0649 + 69.8065i −0.0353807 + 0.0573506i
\(115\) −485.643 + 841.159i −0.393795 + 0.682074i
\(116\) −29.8351 −0.0238803
\(117\) −325.491 648.363i −0.257194 0.512318i
\(118\) 86.4153 0.0674167
\(119\) 187.601 324.935i 0.144516 0.250309i
\(120\) −34.4512 63.9058i −0.0262079 0.0486148i
\(121\) 169.115 + 292.915i 0.127058 + 0.220071i
\(122\) −66.4490 115.093i −0.0493115 0.0854101i
\(123\) 503.862 + 934.648i 0.369363 + 0.685157i
\(124\) −1002.80 + 1736.90i −0.726244 + 1.25789i
\(125\) 125.000 0.0894427
\(126\) 17.9407 + 35.7370i 0.0126848 + 0.0252675i
\(127\) −1182.37 −0.826126 −0.413063 0.910702i \(-0.635541\pi\)
−0.413063 + 0.910702i \(0.635541\pi\)
\(128\) −177.474 + 307.393i −0.122552 + 0.212266i
\(129\) 1439.57 2333.48i 0.982535 1.59265i
\(130\) 11.7544 + 20.3592i 0.00793022 + 0.0137356i
\(131\) −1126.87 1951.80i −0.751569 1.30176i −0.947062 0.321050i \(-0.895964\pi\)
0.195494 0.980705i \(-0.437369\pi\)
\(132\) 1304.21 + 38.0522i 0.859974 + 0.0250910i
\(133\) 381.748 661.207i 0.248885 0.431082i
\(134\) 95.1199 0.0613217
\(135\) −296.307 635.828i −0.188904 0.405358i
\(136\) −123.877 −0.0781059
\(137\) −236.856 + 410.246i −0.147708 + 0.255837i −0.930380 0.366597i \(-0.880523\pi\)
0.782672 + 0.622434i \(0.213856\pi\)
\(138\) −176.553 5.15119i −0.108907 0.00317753i
\(139\) 68.5193 + 118.679i 0.0418110 + 0.0724188i 0.886174 0.463353i \(-0.153354\pi\)
−0.844363 + 0.535772i \(0.820021\pi\)
\(140\) 168.626 + 292.069i 0.101797 + 0.176317i
\(141\) −424.857 + 688.675i −0.253755 + 0.411326i
\(142\) −81.2110 + 140.662i −0.0479935 + 0.0831272i
\(143\) −846.613 −0.495086
\(144\) −938.889 + 1427.02i −0.543339 + 0.825820i
\(145\) 18.7186 0.0107206
\(146\) 53.2600 92.2490i 0.0301906 0.0522917i
\(147\) 669.115 + 1241.19i 0.375426 + 0.696404i
\(148\) −247.965 429.487i −0.137720 0.238538i
\(149\) 71.5553 + 123.937i 0.0393426 + 0.0681433i 0.885026 0.465541i \(-0.154140\pi\)
−0.845684 + 0.533685i \(0.820807\pi\)
\(150\) 10.7866 + 20.0089i 0.00587150 + 0.0108914i
\(151\) −108.421 + 187.790i −0.0584314 + 0.101206i −0.893761 0.448543i \(-0.851943\pi\)
0.835330 + 0.549749i \(0.185277\pi\)
\(152\) −252.077 −0.134514
\(153\) −1194.89 69.7850i −0.631381 0.0368744i
\(154\) 46.6644 0.0244177
\(155\) 629.159 1089.74i 0.326034 0.564708i
\(156\) 584.202 946.967i 0.299831 0.486013i
\(157\) −674.215 1167.78i −0.342728 0.593622i 0.642211 0.766528i \(-0.278017\pi\)
−0.984938 + 0.172906i \(0.944684\pi\)
\(158\) 53.7938 + 93.1736i 0.0270861 + 0.0469145i
\(159\) −735.951 21.4725i −0.367074 0.0107099i
\(160\) 83.5644 144.738i 0.0412897 0.0715158i
\(161\) 1644.14 0.804822
\(162\) 76.2083 102.298i 0.0369598 0.0496127i
\(163\) 1039.85 0.499676 0.249838 0.968288i \(-0.419623\pi\)
0.249838 + 0.968288i \(0.419623\pi\)
\(164\) −814.254 + 1410.33i −0.387699 + 0.671514i
\(165\) −818.261 23.8740i −0.386070 0.0112642i
\(166\) 94.0813 + 162.954i 0.0439887 + 0.0761907i
\(167\) 1663.52 + 2881.31i 0.770822 + 1.33510i 0.937113 + 0.349026i \(0.113487\pi\)
−0.166291 + 0.986077i \(0.553179\pi\)
\(168\) −64.5248 + 104.592i −0.0296321 + 0.0480324i
\(169\) 737.513 1277.41i 0.335691 0.581434i
\(170\) 38.7859 0.0174985
\(171\) −2431.48 142.005i −1.08737 0.0635052i
\(172\) 4205.13 1.86418
\(173\) 597.127 1034.25i 0.262420 0.454525i −0.704464 0.709740i \(-0.748813\pi\)
0.966885 + 0.255214i \(0.0821460\pi\)
\(174\) 1.61528 + 2.99630i 0.000703760 + 0.00130545i
\(175\) −105.796 183.245i −0.0456998 0.0791543i
\(176\) 996.702 + 1726.34i 0.426871 + 0.739362i
\(177\) 1217.69 + 2258.78i 0.517103 + 0.959210i
\(178\) 131.689 228.092i 0.0554523 0.0960463i
\(179\) 2323.70 0.970288 0.485144 0.874434i \(-0.338767\pi\)
0.485144 + 0.874434i \(0.338767\pi\)
\(180\) 591.341 898.779i 0.244866 0.372173i
\(181\) 2527.12 1.03779 0.518893 0.854839i \(-0.326344\pi\)
0.518893 + 0.854839i \(0.326344\pi\)
\(182\) 19.8972 34.4629i 0.00810372 0.0140361i
\(183\) 2072.03 3358.68i 0.836988 1.35672i
\(184\) −271.416 470.106i −0.108745 0.188352i
\(185\) 155.573 + 269.461i 0.0618269 + 0.107087i
\(186\) 228.727 + 6.67346i 0.0901671 + 0.00263076i
\(187\) −698.391 + 1209.65i −0.273109 + 0.473039i
\(188\) −1241.05 −0.481452
\(189\) −681.311 + 972.520i −0.262212 + 0.374288i
\(190\) 78.9252 0.0301360
\(191\) −1194.43 + 2068.82i −0.452493 + 0.783741i −0.998540 0.0540134i \(-0.982799\pi\)
0.546047 + 0.837754i \(0.316132\pi\)
\(192\) −2598.42 75.8129i −0.976693 0.0284965i
\(193\) −1773.99 3072.64i −0.661629 1.14597i −0.980188 0.198072i \(-0.936532\pi\)
0.318559 0.947903i \(-0.396801\pi\)
\(194\) −29.1120 50.4235i −0.0107738 0.0186608i
\(195\) −366.529 + 594.128i −0.134604 + 0.218187i
\(196\) −1081.31 + 1872.88i −0.394063 + 0.682536i
\(197\) −1239.26 −0.448192 −0.224096 0.974567i \(-0.571943\pi\)
−0.224096 + 0.974567i \(0.571943\pi\)
\(198\) −66.7887 133.040i −0.0239720 0.0477512i
\(199\) 516.657 0.184044 0.0920222 0.995757i \(-0.470667\pi\)
0.0920222 + 0.995757i \(0.470667\pi\)
\(200\) −34.9299 + 60.5004i −0.0123496 + 0.0213901i
\(201\) 1340.35 + 2486.30i 0.470353 + 0.872489i
\(202\) −43.3074 75.0107i −0.0150847 0.0261274i
\(203\) −15.8429 27.4406i −0.00547759 0.00948746i
\(204\) −871.114 1615.89i −0.298971 0.554583i
\(205\) 510.864 884.843i 0.174050 0.301464i
\(206\) 110.246 0.0372873
\(207\) −2353.18 4687.43i −0.790133 1.57391i
\(208\) 1699.93 0.566678
\(209\) −1421.15 + 2461.51i −0.470350 + 0.814670i
\(210\) 20.2027 32.7477i 0.00663865 0.0107610i
\(211\) 8.92159 + 15.4527i 0.00291084 + 0.00504173i 0.867477 0.497477i \(-0.165740\pi\)
−0.864566 + 0.502519i \(0.832407\pi\)
\(212\) −564.607 977.928i −0.182912 0.316813i
\(213\) −4821.05 140.662i −1.55086 0.0452487i
\(214\) −136.575 + 236.555i −0.0436266 + 0.0755635i
\(215\) −2638.31 −0.836888
\(216\) 390.543 + 34.2618i 0.123024 + 0.0107927i
\(217\) −2130.01 −0.666334
\(218\) −81.9050 + 141.864i −0.0254464 + 0.0440744i
\(219\) 3161.76 + 92.2490i 0.975578 + 0.0284640i
\(220\) −627.753 1087.30i −0.192378 0.333208i
\(221\) 595.573 + 1031.56i 0.181279 + 0.313984i
\(222\) −29.7079 + 48.1554i −0.00898138 + 0.0145584i
\(223\) −494.777 + 856.978i −0.148577 + 0.257343i −0.930702 0.365779i \(-0.880803\pi\)
0.782125 + 0.623122i \(0.214136\pi\)
\(224\) −282.906 −0.0843860
\(225\) −371.008 + 563.895i −0.109928 + 0.167080i
\(226\) −237.101 −0.0697863
\(227\) 1713.57 2967.98i 0.501028 0.867806i −0.498971 0.866619i \(-0.666289\pi\)
0.999999 0.00118754i \(-0.000378004\pi\)
\(228\) −1772.62 3288.16i −0.514890 0.955104i
\(229\) −549.805 952.290i −0.158656 0.274800i 0.775728 0.631067i \(-0.217383\pi\)
−0.934384 + 0.356267i \(0.884049\pi\)
\(230\) 84.9801 + 147.190i 0.0243627 + 0.0421974i
\(231\) 657.554 + 1219.74i 0.187290 + 0.347416i
\(232\) −5.23071 + 9.05985i −0.00148023 + 0.00256383i
\(233\) 4459.91 1.25399 0.626993 0.779025i \(-0.284285\pi\)
0.626993 + 0.779025i \(0.284285\pi\)
\(234\) −126.732 7.40147i −0.0354047 0.00206773i
\(235\) 778.637 0.216139
\(236\) −1967.82 + 3408.37i −0.542772 + 0.940109i
\(237\) −1677.41 + 2719.02i −0.459745 + 0.745228i
\(238\) −32.8273 56.8586i −0.00894067 0.0154857i
\(239\) −3272.23 5667.66i −0.885618 1.53394i −0.845003 0.534761i \(-0.820402\pi\)
−0.0406148 0.999175i \(-0.512932\pi\)
\(240\) 1643.00 + 47.9371i 0.441897 + 0.0128930i
\(241\) 105.162 182.147i 0.0281083 0.0486851i −0.851629 0.524145i \(-0.824385\pi\)
0.879737 + 0.475460i \(0.157718\pi\)
\(242\) 59.1849 0.0157213
\(243\) 3747.78 + 550.489i 0.989384 + 0.145325i
\(244\) 6052.61 1.58803
\(245\) 678.414 1175.05i 0.176907 0.306412i
\(246\) 185.722 + 5.41871i 0.0481349 + 0.00140441i
\(247\) 1211.93 + 2099.12i 0.312199 + 0.540744i
\(248\) 351.624 + 609.031i 0.0900329 + 0.155942i
\(249\) −2933.67 + 4755.36i −0.746642 + 1.21028i
\(250\) 10.9365 18.9426i 0.00276675 0.00479215i
\(251\) 816.143 0.205237 0.102618 0.994721i \(-0.467278\pi\)
0.102618 + 0.994721i \(0.467278\pi\)
\(252\) −1818.07 106.180i −0.454474 0.0265425i
\(253\) −6120.71 −1.52097
\(254\) −103.448 + 179.177i −0.0255547 + 0.0442621i
\(255\) 546.538 + 1013.81i 0.134218 + 0.248970i
\(256\) −1970.06 3412.25i −0.480972 0.833069i
\(257\) 2086.17 + 3613.36i 0.506350 + 0.877023i 0.999973 + 0.00734758i \(0.00233883\pi\)
−0.493623 + 0.869676i \(0.664328\pi\)
\(258\) −227.667 422.316i −0.0549378 0.101908i
\(259\) 263.346 456.128i 0.0631795 0.109430i
\(260\) −1070.67 −0.255385
\(261\) −55.5579 + 84.4425i −0.0131760 + 0.0200263i
\(262\) −394.371 −0.0929937
\(263\) 1408.52 2439.64i 0.330241 0.571994i −0.652318 0.757945i \(-0.726203\pi\)
0.982559 + 0.185951i \(0.0595367\pi\)
\(264\) 240.209 389.370i 0.0559995 0.0907729i
\(265\) 354.235 + 613.554i 0.0821151 + 0.142228i
\(266\) −66.8001 115.701i −0.0153976 0.0266695i
\(267\) 7817.66 + 228.092i 1.79189 + 0.0522810i
\(268\) −2166.04 + 3751.69i −0.493701 + 0.855115i
\(269\) −102.610 −0.0232573 −0.0116287 0.999932i \(-0.503702\pi\)
−0.0116287 + 0.999932i \(0.503702\pi\)
\(270\) −122.279 10.7274i −0.0275616 0.00241795i
\(271\) −3337.27 −0.748061 −0.374031 0.927416i \(-0.622025\pi\)
−0.374031 + 0.927416i \(0.622025\pi\)
\(272\) 1402.31 2428.88i 0.312602 0.541443i
\(273\) 1181.19 + 34.4629i 0.261863 + 0.00764026i
\(274\) 41.4461 + 71.7867i 0.00913814 + 0.0158277i
\(275\) 393.853 + 682.174i 0.0863645 + 0.149588i
\(276\) 4223.57 6846.23i 0.921120 1.49310i
\(277\) −316.941 + 548.959i −0.0687479 + 0.119075i −0.898350 0.439280i \(-0.855234\pi\)
0.829603 + 0.558354i \(0.188567\pi\)
\(278\) 23.9796 0.00517339
\(279\) 3048.59 + 6072.65i 0.654173 + 1.30308i
\(280\) 118.255 0.0252396
\(281\) 3101.20 5371.44i 0.658370 1.14033i −0.322667 0.946513i \(-0.604579\pi\)
0.981037 0.193818i \(-0.0620872\pi\)
\(282\) 67.1909 + 124.637i 0.0141885 + 0.0263193i
\(283\) 3740.06 + 6477.98i 0.785596 + 1.36069i 0.928642 + 0.370976i \(0.120977\pi\)
−0.143047 + 0.989716i \(0.545690\pi\)
\(284\) −3698.62 6406.19i −0.772791 1.33851i
\(285\) 1112.15 + 2063.00i 0.231150 + 0.428777i
\(286\) −74.0722 + 128.297i −0.0153146 + 0.0265257i
\(287\) −1729.52 −0.355716
\(288\) 404.911 + 806.564i 0.0828459 + 0.165025i
\(289\) −2947.79 −0.599998
\(290\) 1.63773 2.83663i 0.000331623 0.000574389i
\(291\) 907.780 1471.47i 0.182869 0.296424i
\(292\) 2425.64 + 4201.33i 0.486129 + 0.842000i
\(293\) 2418.26 + 4188.54i 0.482171 + 0.835144i 0.999791 0.0204666i \(-0.00651519\pi\)
−0.517620 + 0.855611i \(0.673182\pi\)
\(294\) 246.633 + 7.19590i 0.0489250 + 0.00142746i
\(295\) 1234.61 2138.41i 0.243668 0.422045i
\(296\) −173.893 −0.0341464
\(297\) 2536.35 3620.45i 0.495535 0.707339i
\(298\) 25.0422 0.00486796
\(299\) −2609.81 + 4520.31i −0.504779 + 0.874303i
\(300\) −1034.81 30.1922i −0.199150 0.00581050i
\(301\) 2232.99 + 3867.65i 0.427599 + 0.740623i
\(302\) 18.9719 + 32.8604i 0.00361494 + 0.00626126i
\(303\) 1350.42 2188.98i 0.256039 0.415029i
\(304\) 2853.56 4942.51i 0.538365 0.932475i
\(305\) −3797.42 −0.712916
\(306\) −115.119 + 174.970i −0.0215063 + 0.0326874i
\(307\) −5611.86 −1.04328 −0.521638 0.853167i \(-0.674679\pi\)
−0.521638 + 0.853167i \(0.674679\pi\)
\(308\) −1062.63 + 1840.52i −0.196587 + 0.340498i
\(309\) 1553.49 + 2881.67i 0.286002 + 0.530525i
\(310\) −110.093 190.687i −0.0201706 0.0349364i
\(311\) −5460.70 9458.21i −0.995653 1.72452i −0.578489 0.815690i \(-0.696358\pi\)
−0.417163 0.908831i \(-0.636976\pi\)
\(312\) −185.138 343.424i −0.0335941 0.0623159i
\(313\) −2490.36 + 4313.44i −0.449724 + 0.778946i −0.998368 0.0571109i \(-0.981811\pi\)
0.548643 + 0.836056i \(0.315144\pi\)
\(314\) −235.955 −0.0424067
\(315\) 1140.66 + 66.6175i 0.204028 + 0.0119158i
\(316\) −4899.89 −0.872280
\(317\) 1878.06 3252.90i 0.332752 0.576344i −0.650298 0.759679i \(-0.725356\pi\)
0.983050 + 0.183335i \(0.0586894\pi\)
\(318\) −67.6440 + 109.648i −0.0119286 + 0.0193357i
\(319\) 58.9789 + 102.154i 0.0103517 + 0.0179296i
\(320\) 1250.70 + 2166.27i 0.218488 + 0.378432i
\(321\) −8107.73 236.555i −1.40975 0.0411316i
\(322\) 143.849 249.155i 0.0248957 0.0431206i
\(323\) 3998.99 0.688885
\(324\) 2299.40 + 5335.27i 0.394273 + 0.914827i
\(325\) 671.739 0.114650
\(326\) 90.9788 157.580i 0.0154566 0.0267716i
\(327\) −4862.25 141.864i −0.822273 0.0239911i
\(328\) 285.511 + 494.520i 0.0480632 + 0.0832479i
\(329\) −659.016 1141.45i −0.110434 0.191277i
\(330\) −75.2094 + 121.911i −0.0125459 + 0.0203364i
\(331\) 453.477 785.445i 0.0753031 0.130429i −0.825915 0.563795i \(-0.809341\pi\)
0.901218 + 0.433366i \(0.142674\pi\)
\(332\) −8569.55 −1.41661
\(333\) −1677.33 97.9609i −0.276028 0.0161208i
\(334\) 582.182 0.0953759
\(335\) 1358.98 2353.81i 0.221638 0.383888i
\(336\) −1320.32 2449.14i −0.214372 0.397654i
\(337\) −4939.35 8555.20i −0.798408 1.38288i −0.920653 0.390383i \(-0.872343\pi\)
0.122245 0.992500i \(-0.460991\pi\)
\(338\) −129.053 223.527i −0.0207680 0.0359712i
\(339\) −3341.02 6197.48i −0.535278 0.992923i
\(340\) −883.220 + 1529.78i −0.140880 + 0.244012i
\(341\) 7929.49 1.25925
\(342\) −234.255 + 356.045i −0.0370382 + 0.0562944i
\(343\) −5199.81 −0.818553
\(344\) 737.247 1276.95i 0.115551 0.200141i
\(345\) −2649.87 + 4295.34i −0.413520 + 0.670299i
\(346\) −104.488 180.979i −0.0162350 0.0281199i
\(347\) 1754.86 + 3039.50i 0.271486 + 0.470228i 0.969243 0.246107i \(-0.0791516\pi\)
−0.697757 + 0.716335i \(0.745818\pi\)
\(348\) −154.962 4.52124i −0.0238702 0.000696448i
\(349\) 5196.48 9000.57i 0.797024 1.38049i −0.124522 0.992217i \(-0.539740\pi\)
0.921546 0.388269i \(-0.126927\pi\)
\(350\) −37.0255 −0.00565456
\(351\) −1592.33 3416.88i −0.242143 0.519600i
\(352\) 1053.19 0.159475
\(353\) −4042.70 + 7002.16i −0.609550 + 1.05577i 0.381765 + 0.924259i \(0.375316\pi\)
−0.991315 + 0.131512i \(0.958017\pi\)
\(354\) 448.836 + 13.0955i 0.0673881 + 0.00196615i
\(355\) 2320.52 + 4019.26i 0.346930 + 0.600901i
\(356\) 5997.56 + 10388.1i 0.892893 + 1.54654i
\(357\) 1023.63 1659.26i 0.151754 0.245987i
\(358\) 203.306 352.136i 0.0300141 0.0519860i
\(359\) −8189.49 −1.20397 −0.601984 0.798508i \(-0.705623\pi\)
−0.601984 + 0.798508i \(0.705623\pi\)
\(360\) −169.253 337.144i −0.0247789 0.0493585i
\(361\) 1278.52 0.186400
\(362\) 221.103 382.962i 0.0321020 0.0556024i
\(363\) 833.983 + 1547.01i 0.120586 + 0.223683i
\(364\) 906.184 + 1569.56i 0.130486 + 0.226008i
\(365\) −1521.85 2635.92i −0.218239 0.378001i
\(366\) −327.691 607.856i −0.0467996 0.0868119i
\(367\) 4497.33 7789.60i 0.639669 1.10794i −0.345836 0.938295i \(-0.612405\pi\)
0.985505 0.169645i \(-0.0542621\pi\)
\(368\) 12289.9 1.74091
\(369\) 2475.39 + 4930.86i 0.349224 + 0.695638i
\(370\) 54.4459 0.00765001
\(371\) 599.629 1038.59i 0.0839116 0.145339i
\(372\) −5471.71 + 8869.42i −0.762621 + 1.23618i
\(373\) 464.934 + 805.288i 0.0645398 + 0.111786i 0.896490 0.443064i \(-0.146109\pi\)
−0.831950 + 0.554851i \(0.812775\pi\)
\(374\) 122.208 + 211.670i 0.0168963 + 0.0292652i
\(375\) 649.243 + 18.9426i 0.0894047 + 0.00260852i
\(376\) −217.582 + 376.863i −0.0298429 + 0.0516894i
\(377\) 100.592 0.0137420
\(378\) 87.7673 + 188.335i 0.0119425 + 0.0256267i
\(379\) 3449.71 0.467546 0.233773 0.972291i \(-0.424893\pi\)
0.233773 + 0.972291i \(0.424893\pi\)
\(380\) −1797.26 + 3112.94i −0.242625 + 0.420238i
\(381\) −6141.14 179.177i −0.825775 0.0240932i
\(382\) 209.007 + 362.012i 0.0279941 + 0.0484872i
\(383\) 2673.07 + 4629.89i 0.356625 + 0.617692i 0.987395 0.158278i \(-0.0505941\pi\)
−0.630770 + 0.775970i \(0.717261\pi\)
\(384\) −968.370 + 1569.69i −0.128690 + 0.208601i
\(385\) 666.692 1154.75i 0.0882540 0.152860i
\(386\) −620.841 −0.0818652
\(387\) 7830.66 11901.8i 1.02857 1.56332i
\(388\) 2651.72 0.346960
\(389\) −3861.72 + 6688.70i −0.503334 + 0.871801i 0.496658 + 0.867946i \(0.334560\pi\)
−0.999993 + 0.00385448i \(0.998773\pi\)
\(390\) 57.9664 + 107.526i 0.00752627 + 0.0139610i
\(391\) 4305.78 + 7457.83i 0.556912 + 0.964600i
\(392\) 379.151 + 656.709i 0.0488521 + 0.0846144i
\(393\) −5557.14 10308.3i −0.713284 1.32312i
\(394\) −108.426 + 187.799i −0.0138640 + 0.0240132i
\(395\) 3074.20 0.391594
\(396\) 6768.20 + 395.282i 0.858876 + 0.0501607i
\(397\) 7125.03 0.900744 0.450372 0.892841i \(-0.351291\pi\)
0.450372 + 0.892841i \(0.351291\pi\)
\(398\) 45.2035 78.2948i 0.00569308 0.00986071i
\(399\) 2082.98 3376.42i 0.261352 0.423640i
\(400\) −790.826 1369.75i −0.0988532 0.171219i
\(401\) 896.547 + 1552.86i 0.111649 + 0.193382i 0.916435 0.400183i \(-0.131053\pi\)
−0.804786 + 0.593565i \(0.797720\pi\)
\(402\) 494.047 + 14.4146i 0.0612956 + 0.00178839i
\(403\) 3381.05 5856.15i 0.417921 0.723860i
\(404\) 3944.73 0.485786
\(405\) −1442.65 3347.36i −0.177002 0.410695i
\(406\) −5.54451 −0.000677757
\(407\) −980.369 + 1698.05i −0.119398 + 0.206804i
\(408\) −643.412 18.7725i −0.0780727 0.00227789i
\(409\) −1569.87 2719.09i −0.189792 0.328729i 0.755389 0.655277i \(-0.227448\pi\)
−0.945181 + 0.326548i \(0.894115\pi\)
\(410\) −89.3934 154.834i −0.0107679 0.0186505i
\(411\) −1292.38 + 2094.90i −0.155106 + 0.251420i
\(412\) −2510.48 + 4348.27i −0.300200 + 0.519961i
\(413\) −4179.77 −0.497997
\(414\) −916.224 53.5100i −0.108768 0.00635235i
\(415\) 5376.55 0.635962
\(416\) 449.068 777.808i 0.0529263 0.0916711i
\(417\) 337.900 + 626.795i 0.0396812 + 0.0736074i
\(418\) 248.680 + 430.726i 0.0290989 + 0.0504007i
\(419\) −1228.70 2128.17i −0.143260 0.248133i 0.785463 0.618909i \(-0.212425\pi\)
−0.928722 + 0.370776i \(0.879092\pi\)
\(420\) 831.575 + 1542.55i 0.0966112 + 0.179211i
\(421\) 1339.33 2319.80i 0.155048 0.268551i −0.778029 0.628229i \(-0.783780\pi\)
0.933076 + 0.359678i \(0.117113\pi\)
\(422\) 3.12228 0.000360167
\(423\) −2311.04 + 3512.56i −0.265643 + 0.403750i
\(424\) −395.949 −0.0453514
\(425\) 554.134 959.787i 0.0632457 0.109545i
\(426\) −443.121 + 718.281i −0.0503974 + 0.0816921i
\(427\) 3214.03 + 5566.86i 0.364257 + 0.630911i
\(428\) −6220.09 10773.5i −0.702476 1.21672i
\(429\) −4397.26 128.297i −0.494876 0.0144388i
\(430\) −230.831 + 399.812i −0.0258876 + 0.0448387i
\(431\) −9472.42 −1.05863 −0.529316 0.848425i \(-0.677551\pi\)
−0.529316 + 0.848425i \(0.677551\pi\)
\(432\) −5092.79 + 7269.57i −0.567192 + 0.809623i
\(433\) −4238.21 −0.470382 −0.235191 0.971949i \(-0.575572\pi\)
−0.235191 + 0.971949i \(0.575572\pi\)
\(434\) −186.360 + 322.784i −0.0206119 + 0.0357008i
\(435\) 97.2231 + 2.83663i 0.0107161 + 0.000312658i
\(436\) −3730.23 6460.94i −0.409737 0.709686i
\(437\) 8761.80 + 15175.9i 0.959116 + 1.66124i
\(438\) 290.609 471.065i 0.0317028 0.0513889i
\(439\) −2429.47 + 4207.96i −0.264128 + 0.457483i −0.967335 0.253503i \(-0.918417\pi\)
0.703207 + 0.710985i \(0.251751\pi\)
\(440\) −440.233 −0.0476984
\(441\) 3287.25 + 6548.05i 0.354957 + 0.707057i
\(442\) 208.432 0.0224301
\(443\) −1167.88 + 2022.82i −0.125254 + 0.216946i −0.921832 0.387589i \(-0.873308\pi\)
0.796578 + 0.604535i \(0.206641\pi\)
\(444\) −1222.83 2268.31i −0.130705 0.242453i
\(445\) −3762.88 6517.49i −0.400848 0.694289i
\(446\) 86.5783 + 149.958i 0.00919193 + 0.0159209i
\(447\) 352.873 + 654.568i 0.0373385 + 0.0692617i
\(448\) 2117.11 3666.94i 0.223268 0.386712i
\(449\) 13290.5 1.39692 0.698460 0.715649i \(-0.253869\pi\)
0.698460 + 0.715649i \(0.253869\pi\)
\(450\) 52.9930 + 105.559i 0.00555136 + 0.0110580i
\(451\) 6438.58 0.672241
\(452\) 5399.17 9351.64i 0.561849 0.973151i
\(453\) −591.588 + 958.941i −0.0613582 + 0.0994591i
\(454\) −299.848 519.351i −0.0309968 0.0536880i
\(455\) −568.541 984.742i −0.0585794 0.101462i
\(456\) −1309.28 38.2001i −0.134457 0.00392299i
\(457\) −2587.31 + 4481.35i −0.264834 + 0.458706i −0.967520 0.252794i \(-0.918650\pi\)
0.702686 + 0.711500i \(0.251984\pi\)
\(458\) −192.415 −0.0196309
\(459\) −6195.63 543.534i −0.630037 0.0552724i
\(460\) −7740.55 −0.784576
\(461\) −3170.44 + 5491.37i −0.320309 + 0.554791i −0.980552 0.196261i \(-0.937120\pi\)
0.660243 + 0.751052i \(0.270453\pi\)
\(462\) 242.372 + 7.07157i 0.0244073 + 0.000712119i
\(463\) −1591.40 2756.38i −0.159737 0.276673i 0.775036 0.631916i \(-0.217731\pi\)
−0.934774 + 0.355243i \(0.884398\pi\)
\(464\) −118.425 205.118i −0.0118486 0.0205223i
\(465\) 3432.96 5564.68i 0.342365 0.554959i
\(466\) 390.208 675.860i 0.0387898 0.0671859i
\(467\) −8576.23 −0.849808 −0.424904 0.905238i \(-0.639692\pi\)
−0.424904 + 0.905238i \(0.639692\pi\)
\(468\) 3177.82 4829.96i 0.313877 0.477062i
\(469\) −4600.79 −0.452974
\(470\) 68.1247 117.995i 0.00668587 0.0115803i
\(471\) −3324.87 6167.53i −0.325269 0.603365i
\(472\) 690.000 + 1195.11i 0.0672877 + 0.116546i
\(473\) −8312.84 14398.3i −0.808086 1.39965i
\(474\) 265.282 + 492.090i 0.0257064 + 0.0476845i
\(475\) 1127.60 1953.06i 0.108922 0.188658i
\(476\) 2990.13 0.287925
\(477\) −3819.23 223.054i −0.366605 0.0214107i
\(478\) −1145.18 −0.109580
\(479\) −1458.82 + 2526.76i −0.139155 + 0.241024i −0.927177 0.374623i \(-0.877772\pi\)
0.788022 + 0.615647i \(0.211105\pi\)
\(480\) 455.962 739.096i 0.0433578 0.0702812i
\(481\) 836.037 + 1448.06i 0.0792516 + 0.137268i
\(482\) −18.4018 31.8729i −0.00173896 0.00301197i
\(483\) 8539.56 + 249.155i 0.804479 + 0.0234719i
\(484\) −1347.74 + 2334.35i −0.126572 + 0.219229i
\(485\) −1663.69 −0.155761
\(486\) 411.324 519.779i 0.0383910 0.0485137i
\(487\) −14061.0 −1.30834 −0.654172 0.756346i \(-0.726983\pi\)
−0.654172 + 0.756346i \(0.726983\pi\)
\(488\) 1061.15 1837.96i 0.0984343 0.170493i
\(489\) 5400.92 + 157.580i 0.499464 + 0.0145726i
\(490\) −118.712 205.615i −0.0109446 0.0189566i
\(491\) 466.331 + 807.709i 0.0428620 + 0.0742391i 0.886661 0.462421i \(-0.153019\pi\)
−0.843799 + 0.536660i \(0.819686\pi\)
\(492\) −4442.91 + 7201.78i −0.407118 + 0.659921i
\(493\) 82.9806 143.727i 0.00758065 0.0131301i
\(494\) 424.137 0.0386292
\(495\) −4246.38 248.000i −0.385577 0.0225187i
\(496\) −15921.8 −1.44135
\(497\) 3928.04 6803.57i 0.354521 0.614048i
\(498\) 463.959 + 860.629i 0.0417480 + 0.0774412i
\(499\) 7215.39 + 12497.4i 0.647305 + 1.12117i 0.983764 + 0.179467i \(0.0574374\pi\)
−0.336459 + 0.941698i \(0.609229\pi\)
\(500\) 498.086 + 862.711i 0.0445502 + 0.0771632i
\(501\) 8203.60 + 15217.4i 0.731557 + 1.35701i
\(502\) 71.4062 123.679i 0.00634864 0.0109962i
\(503\) −3230.55 −0.286368 −0.143184 0.989696i \(-0.545734\pi\)
−0.143184 + 0.989696i \(0.545734\pi\)
\(504\) −350.988 + 533.467i −0.0310203 + 0.0471478i
\(505\) −2474.93 −0.218085
\(506\) −535.515 + 927.539i −0.0470485 + 0.0814904i
\(507\) 4024.18 6523.03i 0.352505 0.571397i
\(508\) −4711.36 8160.32i −0.411482 0.712708i
\(509\) 180.378 + 312.424i 0.0157075 + 0.0272062i 0.873772 0.486335i \(-0.161667\pi\)
−0.858065 + 0.513541i \(0.828333\pi\)
\(510\) 201.452 + 5.87766i 0.0174911 + 0.000510328i
\(511\) −2576.10 + 4461.93i −0.223013 + 0.386270i
\(512\) −3529.04 −0.304615
\(513\) −12607.4 1106.03i −1.08505 0.0951903i
\(514\) 730.096 0.0626521
\(515\) 1575.08 2728.11i 0.134769 0.233427i
\(516\) 21841.2 + 637.250i 1.86338 + 0.0543670i
\(517\) 2453.35 + 4249.33i 0.208701 + 0.361480i
\(518\) −46.0814 79.8154i −0.00390869 0.00677005i
\(519\) 3258.18 5281.37i 0.275565 0.446679i
\(520\) −187.710 + 325.124i −0.0158301 + 0.0274185i
\(521\) −11698.8 −0.983747 −0.491873 0.870667i \(-0.663688\pi\)
−0.491873 + 0.870667i \(0.663688\pi\)
\(522\) 7.93562 + 15.8074i 0.000665388 + 0.00132542i
\(523\) 18557.3 1.55154 0.775770 0.631015i \(-0.217362\pi\)
0.775770 + 0.631015i \(0.217362\pi\)
\(524\) 8980.49 15554.7i 0.748692 1.29677i
\(525\) −521.731 967.795i −0.0433719 0.0804534i
\(526\) −246.470 426.899i −0.0204308 0.0353872i
\(527\) −5578.21 9661.75i −0.461083 0.798619i
\(528\) 4915.20 + 9117.54i 0.405126 + 0.751496i
\(529\) −12784.5 + 22143.3i −1.05075 + 1.81995i
\(530\) 123.971 0.0101603
\(531\) 5982.32 + 11916.5i 0.488909 + 0.973883i
\(532\) 6084.59 0.495866
\(533\) 2745.34 4755.07i 0.223103 0.386426i
\(534\) 718.551 1164.74i 0.0582298 0.0943882i
\(535\) 3902.50 + 6759.32i 0.315364 + 0.546226i
\(536\) 759.503 + 1315.50i 0.0612044 + 0.106009i
\(537\) 12069.2 + 352.136i 0.969875 + 0.0282976i
\(538\) −8.97756 + 15.5496i −0.000719424 + 0.00124608i
\(539\) 8550.26 0.683276
\(540\) 3207.59 4578.60i 0.255616 0.364873i
\(541\) 22755.3 1.80837 0.904185 0.427140i \(-0.140479\pi\)
0.904185 + 0.427140i \(0.140479\pi\)
\(542\) −291.985 + 505.733i −0.0231399 + 0.0400795i
\(543\) 13125.7 + 382.962i 1.03734 + 0.0302661i
\(544\) −740.893 1283.26i −0.0583925 0.101139i
\(545\) 2340.35 + 4053.60i 0.183944 + 0.318601i
\(546\) 108.567 175.983i 0.00850962 0.0137937i
\(547\) −2899.05 + 5021.30i −0.226608 + 0.392496i −0.956801 0.290745i \(-0.906097\pi\)
0.730193 + 0.683241i \(0.239430\pi\)
\(548\) −3775.18 −0.294284
\(549\) 11271.0 17130.8i 0.876200 1.33174i
\(550\) 137.837 0.0106861
\(551\) 168.857 292.468i 0.0130554 0.0226127i
\(552\) −1338.48 2482.84i −0.103205 0.191443i
\(553\) −2601.92 4506.65i −0.200081 0.346550i
\(554\) 55.4599 + 96.0593i 0.00425318 + 0.00736673i
\(555\) 767.204 + 1423.14i 0.0586775 + 0.108845i
\(556\) −546.056 + 945.797i −0.0416510 + 0.0721416i
\(557\) 15740.3 1.19738 0.598688 0.800982i \(-0.295689\pi\)
0.598688 + 0.800982i \(0.295689\pi\)
\(558\) 1186.98 + 69.3231i 0.0900521 + 0.00525929i
\(559\) −14178.0 −1.07275
\(560\) −1338.66 + 2318.64i −0.101016 + 0.174965i
\(561\) −3810.72 + 6177.01i −0.286789 + 0.464873i
\(562\) −542.662 939.919i −0.0407310 0.0705482i
\(563\) −1909.56 3307.45i −0.142946 0.247589i 0.785659 0.618660i \(-0.212324\pi\)
−0.928605 + 0.371071i \(0.878991\pi\)
\(564\) −6445.94 188.070i −0.481247 0.0140411i
\(565\) −3387.45 + 5867.23i −0.252232 + 0.436878i
\(566\) 1308.91 0.0972040
\(567\) −3686.07 + 4947.97i −0.273016 + 0.366482i
\(568\) −2593.78 −0.191607
\(569\) −4445.56 + 7699.93i −0.327535 + 0.567308i −0.982022 0.188766i \(-0.939551\pi\)
0.654487 + 0.756073i \(0.272885\pi\)
\(570\) 409.933 + 11.9604i 0.0301232 + 0.000878889i
\(571\) −4193.31 7263.03i −0.307329 0.532309i 0.670448 0.741956i \(-0.266102\pi\)
−0.977777 + 0.209647i \(0.932768\pi\)
\(572\) −3373.49 5843.06i −0.246596 0.427116i
\(573\) −6517.33 + 10564.3i −0.475158 + 0.770211i
\(574\) −151.320 + 262.094i −0.0110034 + 0.0190585i
\(575\) 4856.43 0.352221
\(576\) −13484.6 787.536i −0.975446 0.0569687i
\(577\) 16922.3 1.22095 0.610473 0.792037i \(-0.290979\pi\)
0.610473 + 0.792037i \(0.290979\pi\)
\(578\) −257.909 + 446.711i −0.0185599 + 0.0321466i
\(579\) −8748.35 16227.9i −0.627926 1.16478i
\(580\) 74.5877 + 129.190i 0.00533980 + 0.00924880i
\(581\) −4550.56 7881.80i −0.324938 0.562809i
\(582\) −143.565 266.309i −0.0102250 0.0189671i
\(583\) −2232.27 + 3866.40i −0.158578 + 0.274666i
\(584\) 1701.06 0.120531
\(585\) −1993.77 + 3030.32i −0.140909 + 0.214168i
\(586\) 846.315 0.0596603
\(587\) −7619.29 + 13197.0i −0.535744 + 0.927936i 0.463383 + 0.886158i \(0.346635\pi\)
−0.999127 + 0.0417777i \(0.986698\pi\)
\(588\) −5900.07 + 9563.77i −0.413800 + 0.670754i
\(589\) −11351.1 19660.6i −0.794079 1.37539i
\(590\) −216.038 374.189i −0.0150748 0.0261104i
\(591\) −6436.66 187.799i −0.448002 0.0130711i
\(592\) 1968.50 3409.55i 0.136664 0.236709i
\(593\) −16960.2 −1.17449 −0.587245 0.809409i \(-0.699787\pi\)
−0.587245 + 0.809409i \(0.699787\pi\)
\(594\) −326.735 701.123i −0.0225692 0.0484300i
\(595\) −1876.01 −0.129259
\(596\) −570.252 + 987.705i −0.0391920 + 0.0678825i
\(597\) 2683.49 + 78.2948i 0.183966 + 0.00536749i
\(598\) 456.676 + 790.986i 0.0312289 + 0.0540900i
\(599\) 12456.1 + 21574.5i 0.849651 + 1.47164i 0.881520 + 0.472147i \(0.156521\pi\)
−0.0318690 + 0.999492i \(0.510146\pi\)
\(600\) −190.592 + 308.942i −0.0129682 + 0.0210209i
\(601\) 2175.63 3768.31i 0.147664 0.255761i −0.782700 0.622399i \(-0.786158\pi\)
0.930364 + 0.366638i \(0.119491\pi\)
\(602\) 781.476 0.0529080
\(603\) 6584.91 + 13116.8i 0.444707 + 0.885835i
\(604\) −1728.09 −0.116416
\(605\) 845.573 1464.58i 0.0568222 0.0984190i
\(606\) −213.569 396.164i −0.0143163 0.0265562i
\(607\) −13911.8 24096.0i −0.930254 1.61125i −0.782885 0.622166i \(-0.786253\pi\)
−0.147369 0.989082i \(-0.547081\pi\)
\(608\) −1507.64 2611.31i −0.100564 0.174182i
\(609\) −78.1285 144.926i −0.00519856 0.00964317i
\(610\) −332.245 + 575.465i −0.0220528 + 0.0381965i
\(611\) 4184.33 0.277054
\(612\) −4279.64 8524.84i −0.282670 0.563066i
\(613\) 20034.6 1.32005 0.660024 0.751244i \(-0.270546\pi\)
0.660024 + 0.751244i \(0.270546\pi\)
\(614\) −490.994 + 850.427i −0.0322719 + 0.0558965i
\(615\) 2787.49 4518.40i 0.182768 0.296260i
\(616\) 372.600 + 645.363i 0.0243709 + 0.0422117i
\(617\) −3776.95 6541.86i −0.246441 0.426848i 0.716095 0.698003i \(-0.245928\pi\)
−0.962536 + 0.271155i \(0.912595\pi\)
\(618\) 572.609 + 16.7067i 0.0372714 + 0.00108745i
\(619\) −6192.54 + 10725.8i −0.402099 + 0.696456i −0.993979 0.109570i \(-0.965053\pi\)
0.591880 + 0.806026i \(0.298386\pi\)
\(620\) 10028.0 0.649573
\(621\) −11512.0 24702.8i −0.743896 1.59628i
\(622\) −1911.08 −0.123195
\(623\) −6369.58 + 11032.4i −0.409618 + 0.709479i
\(624\) 8829.35 + 257.610i 0.566437 + 0.0165267i
\(625\) −312.500 541.266i −0.0200000 0.0346410i
\(626\) 435.775 + 754.785i 0.0278228 + 0.0481906i
\(627\) −7754.40 + 12569.6i −0.493909 + 0.800606i
\(628\) 5373.08 9306.45i 0.341416 0.591350i
\(629\) 2758.67 0.174873
\(630\) 109.894 167.028i 0.00694966 0.0105628i
\(631\) −1325.17 −0.0836043 −0.0418022 0.999126i \(-0.513310\pi\)
−0.0418022 + 0.999126i \(0.513310\pi\)
\(632\) −859.053 + 1487.92i −0.0540685 + 0.0936494i
\(633\) 43.9965 + 81.6122i 0.00276257 + 0.00512447i
\(634\) −328.632 569.207i −0.0205862 0.0356563i
\(635\) 2955.91 + 5119.79i 0.184727 + 0.319957i
\(636\) −2784.34 5164.86i −0.173595 0.322013i
\(637\) 3645.74 6314.60i 0.226765 0.392769i
\(638\) 20.6408 0.00128084
\(639\) −25019.0 1461.18i −1.54888 0.0904589i
\(640\) 1774.74 0.109613
\(641\) 11255.8 19495.6i 0.693568 1.20129i −0.277094 0.960843i \(-0.589371\pi\)
0.970661 0.240451i \(-0.0772955\pi\)
\(642\) −745.212 + 1207.96i −0.0458118 + 0.0742590i
\(643\) −2807.31 4862.40i −0.172176 0.298218i 0.767004 0.641642i \(-0.221747\pi\)
−0.939180 + 0.343424i \(0.888413\pi\)
\(644\) 6551.38 + 11347.3i 0.400871 + 0.694328i
\(645\) −13703.2 399.812i −0.836532 0.0244071i
\(646\) 349.881 606.012i 0.0213094 0.0369090i
\(647\) −11753.6 −0.714188 −0.357094 0.934068i \(-0.616232\pi\)
−0.357094 + 0.934068i \(0.616232\pi\)
\(648\) 2023.27 + 237.137i 0.122656 + 0.0143760i
\(649\) 15560.2 0.941127
\(650\) 58.7720 101.796i 0.00354650 0.00614273i
\(651\) −11063.2 322.784i −0.666051 0.0194330i
\(652\) 4143.48 + 7176.71i 0.248882 + 0.431076i
\(653\) 12929.1 + 22393.9i 0.774816 + 1.34202i 0.934898 + 0.354916i \(0.115491\pi\)
−0.160082 + 0.987104i \(0.551176\pi\)
\(654\) −446.908 + 724.420i −0.0267209 + 0.0433135i
\(655\) −5634.37 + 9759.02i −0.336112 + 0.582163i
\(656\) −12928.1 −0.769450
\(657\) 16408.0 + 958.272i 0.974333 + 0.0569037i
\(658\) −230.635 −0.0136643
\(659\) 8847.75 15324.8i 0.523004 0.905869i −0.476638 0.879100i \(-0.658145\pi\)
0.999642 0.0267695i \(-0.00852201\pi\)
\(660\) −3095.74 5742.51i −0.182578 0.338677i
\(661\) −3115.05 5395.42i −0.183300 0.317485i 0.759702 0.650271i \(-0.225345\pi\)
−0.943002 + 0.332786i \(0.892011\pi\)
\(662\) −79.3515 137.441i −0.00465873 0.00806916i
\(663\) 2937.05 + 5448.13i 0.172044 + 0.319137i
\(664\) −1502.42 + 2602.27i −0.0878091 + 0.152090i
\(665\) −3817.48 −0.222610
\(666\) −161.599 + 245.614i −0.00940214 + 0.0142903i
\(667\) 727.243 0.0422174
\(668\) −13257.2 + 22962.2i −0.767872 + 1.32999i
\(669\) −2699.71 + 4376.12i −0.156019 + 0.252901i
\(670\) −237.800 411.881i −0.0137120 0.0237498i
\(671\) −11965.0 20724.0i −0.688381 1.19231i
\(672\) −1469.40 42.8719i −0.0843501 0.00246104i
\(673\) 3025.84 5240.91i 0.173310 0.300182i −0.766265 0.642524i \(-0.777887\pi\)
0.939575 + 0.342343i \(0.111220\pi\)
\(674\) −1728.62 −0.0987892
\(675\) −2012.45 + 2872.62i −0.114754 + 0.163803i
\(676\) 11755.0 0.668812
\(677\) −14049.3 + 24334.1i −0.797576 + 1.38144i 0.123614 + 0.992330i \(0.460551\pi\)
−0.921190 + 0.389112i \(0.872782\pi\)
\(678\) −1231.49 35.9305i −0.0697566 0.00203525i
\(679\) 1408.10 + 2438.90i 0.0795846 + 0.137845i
\(680\) 309.694 + 536.405i 0.0174650 + 0.0302503i
\(681\) 9349.93 15155.9i 0.526124 0.852825i
\(682\) 693.769 1201.64i 0.0389528 0.0674682i
\(683\) −8335.71 −0.466994 −0.233497 0.972358i \(-0.575017\pi\)
−0.233497 + 0.972358i \(0.575017\pi\)
\(684\) −8708.61 17347.1i −0.486816 0.969714i
\(685\) 2368.56 0.132114
\(686\) −454.944 + 787.986i −0.0253205 + 0.0438563i
\(687\) −2711.34 5029.46i −0.150574 0.279310i
\(688\) 16691.5 + 28910.6i 0.924939 + 1.60204i
\(689\) 1903.63 + 3297.18i 0.105258 + 0.182312i
\(690\) 419.076 + 777.374i 0.0231217 + 0.0428900i
\(691\) 8442.55 14622.9i 0.464790 0.805039i −0.534402 0.845230i \(-0.679463\pi\)
0.999192 + 0.0401909i \(0.0127966\pi\)
\(692\) 9517.46 0.522832
\(693\) 3230.46 + 6434.92i 0.177078 + 0.352731i
\(694\) 614.146 0.0335917
\(695\) 342.596 593.394i 0.0186984 0.0323867i
\(696\) −28.5409 + 46.2637i −0.00155437 + 0.00251957i
\(697\) −4529.39 7845.14i −0.246145 0.426335i
\(698\) −909.305 1574.96i −0.0493090 0.0854057i
\(699\) 23164.5 + 675.860i 1.25345 + 0.0365714i
\(700\) 843.132 1460.35i 0.0455248 0.0788514i
\(701\) 16875.2 0.909226 0.454613 0.890689i \(-0.349778\pi\)
0.454613 + 0.890689i \(0.349778\pi\)
\(702\) −657.115 57.6479i −0.0353293 0.00309940i
\(703\) 5613.59 0.301167
\(704\) −7881.47 + 13651.1i −0.421938 + 0.730817i
\(705\) 4044.19 + 117.995i 0.216047 + 0.00630350i
\(706\) 707.410 + 1225.27i 0.0377106 + 0.0653168i
\(707\) 2094.71 + 3628.14i 0.111428 + 0.192999i
\(708\) −10737.3 + 17404.6i −0.569959 + 0.923879i
\(709\) 9503.71 16460.9i 0.503412 0.871936i −0.496580 0.867991i \(-0.665411\pi\)
0.999992 0.00394482i \(-0.00125568\pi\)
\(710\) 812.110 0.0429267
\(711\) −9124.43 + 13868.2i −0.481284 + 0.731503i
\(712\) 4205.99 0.221385
\(713\) 24443.8 42337.9i 1.28391 2.22379i
\(714\) −161.887 300.295i −0.00848524 0.0157398i
\(715\) 2116.53 + 3665.94i 0.110705 + 0.191746i
\(716\) 9259.23 + 16037.4i 0.483287 + 0.837078i
\(717\) −16136.9 29933.4i −0.840506 1.55911i
\(718\) −716.517 + 1241.04i −0.0372426 + 0.0645061i
\(719\) 17588.1 0.912275 0.456138 0.889909i \(-0.349233\pi\)
0.456138 + 0.889909i \(0.349233\pi\)
\(720\) 8526.39 + 497.965i 0.441333 + 0.0257751i
\(721\) −5332.40 −0.275435
\(722\) 111.861 193.748i 0.00576596 0.00998693i
\(723\) 573.810 930.123i 0.0295162 0.0478446i
\(724\) 10069.8 + 17441.4i 0.516907 + 0.895309i
\(725\) −46.7964 81.0537i −0.00239721 0.00415208i
\(726\) 307.403 + 8.96895i 0.0157146 + 0.000458497i
\(727\) −2802.69 + 4854.40i −0.142979 + 0.247648i −0.928617 0.371039i \(-0.879002\pi\)
0.785638 + 0.618687i \(0.212335\pi\)
\(728\) 635.491 0.0323528
\(729\) 19382.3 + 3427.15i 0.984725 + 0.174117i
\(730\) −532.600 −0.0270033
\(731\) −11695.8 + 20257.7i −0.591771 + 1.02498i
\(732\) 31436.9 + 917.220i 1.58735 + 0.0463134i
\(733\) −7460.04 12921.2i −0.375911 0.651097i 0.614552 0.788877i \(-0.289337\pi\)
−0.990463 + 0.137779i \(0.956004\pi\)
\(734\) −786.963 1363.06i −0.0395740 0.0685443i
\(735\) 3701.71 6000.32i 0.185768 0.301123i
\(736\) 3246.60 5623.27i 0.162597 0.281626i
\(737\) 17127.6 0.856042
\(738\) 963.806 + 56.2889i 0.0480734 + 0.00280762i
\(739\) −27418.8 −1.36484 −0.682421 0.730959i \(-0.739073\pi\)
−0.682421 + 0.730959i \(0.739073\pi\)
\(740\) −1239.82 + 2147.44i −0.0615903 + 0.106677i
\(741\) 5976.58 + 11086.4i 0.296296 + 0.549619i
\(742\) −104.926 181.737i −0.00519131 0.00899161i
\(743\) 12272.1 + 21255.9i 0.605948 + 1.04953i 0.991901 + 0.127014i \(0.0405394\pi\)
−0.385953 + 0.922518i \(0.626127\pi\)
\(744\) 1734.02 + 3216.56i 0.0854467 + 0.158501i
\(745\) 357.777 619.687i 0.0175945 0.0304746i
\(746\) 162.712 0.00798569
\(747\) −15957.9 + 24254.5i −0.781621 + 1.18799i
\(748\) −11131.5 −0.544128
\(749\) 6605.92 11441.8i 0.322263 0.558176i
\(750\) 59.6743 96.7296i 0.00290533 0.00470942i
\(751\) −767.283 1328.97i −0.0372817 0.0645738i 0.846782 0.531939i \(-0.178537\pi\)
−0.884064 + 0.467365i \(0.845203\pi\)
\(752\) −4926.13 8532.30i −0.238880 0.413752i
\(753\) 4239.00 + 123.679i 0.205150 + 0.00598555i
\(754\) 8.80102 15.2438i 0.000425085 0.000736269i
\(755\) 1084.21 0.0522627
\(756\) −9426.85 827.005i −0.453507 0.0397856i
\(757\) −18051.1 −0.866681 −0.433341 0.901230i \(-0.642665\pi\)
−0.433341 + 0.901230i \(0.642665\pi\)
\(758\) 301.823 522.773i 0.0144627 0.0250501i
\(759\) −31790.6 927.539i −1.52032 0.0443578i
\(760\) 630.194 + 1091.53i 0.0300783 + 0.0520972i
\(761\) −6462.29 11193.0i −0.307829 0.533176i 0.670058 0.742309i \(-0.266269\pi\)
−0.977887 + 0.209133i \(0.932936\pi\)
\(762\) −564.455 + 914.958i −0.0268347 + 0.0434980i
\(763\) 3961.61 6861.71i 0.187968 0.325571i
\(764\) −19037.8 −0.901522
\(765\) 2685.05 + 5348.50i 0.126900 + 0.252778i
\(766\) 935.491 0.0441262
\(767\) 6634.70 11491.6i 0.312341 0.540990i
\(768\) −9715.30 18021.6i −0.456472 0.846741i
\(769\) 1686.16