Properties

Label 45.4.l.a.2.1
Level $45$
Weight $4$
Character 45.2
Analytic conductor $2.655$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 45 = 3^{2} \cdot 5 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 45.l (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.65508595026\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(16\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 2.1
Character \(\chi\) \(=\) 45.2
Dual form 45.4.l.a.23.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.41347 - 5.27515i) q^{2} +(4.81992 - 1.94123i) q^{3} +(-18.9011 + 10.9125i) q^{4} +(-3.32298 - 10.6751i) q^{5} +(-17.0531 - 22.6819i) q^{6} +(-4.22008 + 1.13077i) q^{7} +(53.3880 + 53.3880i) q^{8} +(19.4633 - 18.7131i) q^{9} +O(q^{10})\) \(q+(-1.41347 - 5.27515i) q^{2} +(4.81992 - 1.94123i) q^{3} +(-18.9011 + 10.9125i) q^{4} +(-3.32298 - 10.6751i) q^{5} +(-17.0531 - 22.6819i) q^{6} +(-4.22008 + 1.13077i) q^{7} +(53.3880 + 53.3880i) q^{8} +(19.4633 - 18.7131i) q^{9} +(-51.6158 + 32.6182i) q^{10} +(-5.91593 - 3.41556i) q^{11} +(-69.9180 + 89.2889i) q^{12} +(24.4368 + 6.54783i) q^{13} +(11.9299 + 20.6632i) q^{14} +(-36.7393 - 45.0025i) q^{15} +(118.867 - 205.883i) q^{16} +(36.0612 - 36.0612i) q^{17} +(-126.225 - 76.2213i) q^{18} -59.8443i q^{19} +(179.300 + 165.509i) q^{20} +(-18.1454 + 13.6423i) q^{21} +(-9.65561 + 36.0352i) q^{22} +(13.6398 - 50.9044i) q^{23} +(360.964 + 153.688i) q^{24} +(-102.916 + 70.9463i) q^{25} -138.163i q^{26} +(57.4851 - 127.978i) q^{27} +(67.4245 - 67.4245i) q^{28} +(-22.1046 + 38.2863i) q^{29} +(-185.465 + 257.415i) q^{30} +(67.9692 + 117.726i) q^{31} +(-670.646 - 179.699i) q^{32} +(-35.1447 - 4.97859i) q^{33} +(-241.199 - 139.257i) q^{34} +(26.0943 + 41.2922i) q^{35} +(-163.669 + 566.092i) q^{36} +(233.330 + 233.330i) q^{37} +(-315.688 + 84.5883i) q^{38} +(130.494 - 15.8774i) q^{39} +(392.515 - 747.330i) q^{40} +(335.678 - 193.804i) q^{41} +(97.6133 + 76.4365i) q^{42} +(82.0769 + 306.315i) q^{43} +149.090 q^{44} +(-264.440 - 145.589i) q^{45} -287.808 q^{46} +(84.9338 + 316.977i) q^{47} +(173.263 - 1223.09i) q^{48} +(-280.516 + 161.956i) q^{49} +(519.720 + 442.615i) q^{50} +(103.809 - 243.815i) q^{51} +(-533.336 + 142.907i) q^{52} +(43.1181 + 43.1181i) q^{53} +(-756.358 - 122.349i) q^{54} +(-16.8030 + 74.5030i) q^{55} +(-285.671 - 164.932i) q^{56} +(-116.171 - 288.445i) q^{57} +(233.210 + 62.4884i) q^{58} +(-248.925 - 431.152i) q^{59} +(1185.50 + 449.677i) q^{60} +(36.3039 - 62.8801i) q^{61} +(524.950 - 524.950i) q^{62} +(-60.9764 + 100.979i) q^{63} +1889.88i q^{64} +(-11.3043 - 282.624i) q^{65} +(23.4132 + 192.431i) q^{66} +(-47.7525 + 178.215i) q^{67} +(-288.076 + 1075.11i) q^{68} +(-33.0742 - 271.833i) q^{69} +(180.939 - 196.017i) q^{70} +563.835i q^{71} +(2038.16 + 40.0503i) q^{72} +(84.7460 - 84.7460i) q^{73} +(901.044 - 1560.65i) q^{74} +(-358.322 + 541.738i) q^{75} +(653.054 + 1131.12i) q^{76} +(28.8279 + 7.72441i) q^{77} +(-268.206 - 665.935i) q^{78} +(-186.138 - 107.467i) q^{79} +(-2592.82 - 584.770i) q^{80} +(28.6389 - 728.437i) q^{81} +(-1496.82 - 1496.82i) q^{82} +(-930.125 + 249.226i) q^{83} +(194.095 - 455.867i) q^{84} +(-504.787 - 265.126i) q^{85} +(1499.84 - 865.935i) q^{86} +(-32.2201 + 227.447i) q^{87} +(-133.490 - 498.190i) q^{88} -288.322 q^{89} +(-394.226 + 1600.75i) q^{90} -110.529 q^{91} +(297.690 + 1110.99i) q^{92} +(556.139 + 435.487i) q^{93} +(1552.05 - 896.076i) q^{94} +(-638.844 + 198.861i) q^{95} +(-3581.30 + 435.740i) q^{96} +(1588.58 - 425.658i) q^{97} +(1250.84 + 1250.84i) q^{98} +(-179.059 + 44.2274i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64 q - 6 q^{2} - 6 q^{5} - 24 q^{6} - 2 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 64 q - 6 q^{2} - 6 q^{5} - 24 q^{6} - 2 q^{7} - 8 q^{10} - 36 q^{11} - 138 q^{12} - 2 q^{13} - 96 q^{15} + 316 q^{16} - 480 q^{18} + 378 q^{20} + 480 q^{21} - 34 q^{22} + 306 q^{23} - 146 q^{25} + 180 q^{27} - 232 q^{28} - 1170 q^{30} - 4 q^{31} - 1770 q^{32} - 294 q^{33} - 216 q^{36} + 136 q^{37} + 114 q^{38} + 126 q^{40} + 1992 q^{41} + 1698 q^{42} - 2 q^{43} + 1134 q^{45} - 952 q^{46} + 3462 q^{47} + 4326 q^{48} + 666 q^{50} - 2496 q^{51} - 242 q^{52} + 284 q^{55} - 7128 q^{56} - 2544 q^{57} + 534 q^{58} + 1818 q^{60} + 32 q^{61} - 4038 q^{63} - 2094 q^{65} + 2892 q^{66} + 610 q^{67} - 2694 q^{68} + 498 q^{70} - 1854 q^{72} - 8 q^{73} - 6408 q^{75} + 1368 q^{76} - 6486 q^{77} + 1434 q^{78} + 3012 q^{81} - 3784 q^{82} + 2814 q^{83} - 1658 q^{85} + 12480 q^{86} + 4830 q^{87} - 1338 q^{88} + 13914 q^{90} + 992 q^{91} + 13152 q^{92} + 8310 q^{93} + 4284 q^{95} - 7932 q^{96} + 358 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(11\) \(37\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.41347 5.27515i −0.499738 1.86505i −0.501689 0.865048i \(-0.667288\pi\)
0.00195086 0.999998i \(-0.499379\pi\)
\(3\) 4.81992 1.94123i 0.927594 0.373589i
\(4\) −18.9011 + 10.9125i −2.36264 + 1.36407i
\(5\) −3.32298 10.6751i −0.297216 0.954810i
\(6\) −17.0531 22.6819i −1.16031 1.54331i
\(7\) −4.22008 + 1.13077i −0.227863 + 0.0610556i −0.370944 0.928655i \(-0.620966\pi\)
0.143081 + 0.989711i \(0.454299\pi\)
\(8\) 53.3880 + 53.3880i 2.35944 + 2.35944i
\(9\) 19.4633 18.7131i 0.720862 0.693078i
\(10\) −51.6158 + 32.6182i −1.63224 + 1.03148i
\(11\) −5.91593 3.41556i −0.162156 0.0936210i 0.416726 0.909032i \(-0.363178\pi\)
−0.578882 + 0.815411i \(0.696511\pi\)
\(12\) −69.9180 + 89.2889i −1.68197 + 2.14796i
\(13\) 24.4368 + 6.54783i 0.521351 + 0.139696i 0.509891 0.860239i \(-0.329686\pi\)
0.0114594 + 0.999934i \(0.496352\pi\)
\(14\) 11.9299 + 20.6632i 0.227743 + 0.394463i
\(15\) −36.7393 45.0025i −0.632403 0.774640i
\(16\) 118.867 205.883i 1.85729 3.21693i
\(17\) 36.0612 36.0612i 0.514477 0.514477i −0.401418 0.915895i \(-0.631482\pi\)
0.915895 + 0.401418i \(0.131482\pi\)
\(18\) −126.225 76.2213i −1.65287 0.998085i
\(19\) 59.8443i 0.722591i −0.932451 0.361296i \(-0.882335\pi\)
0.932451 0.361296i \(-0.117665\pi\)
\(20\) 179.300 + 165.509i 2.00464 + 1.85044i
\(21\) −18.1454 + 13.6423i −0.188554 + 0.141762i
\(22\) −9.65561 + 36.0352i −0.0935719 + 0.349215i
\(23\) 13.6398 50.9044i 0.123656 0.461491i −0.876132 0.482071i \(-0.839885\pi\)
0.999788 + 0.0205799i \(0.00655126\pi\)
\(24\) 360.964 + 153.688i 3.07006 + 1.30714i
\(25\) −102.916 + 70.9463i −0.823325 + 0.567570i
\(26\) 138.163i 1.04215i
\(27\) 57.4851 127.978i 0.409741 0.912202i
\(28\) 67.4245 67.4245i 0.455073 0.455073i
\(29\) −22.1046 + 38.2863i −0.141542 + 0.245158i −0.928077 0.372387i \(-0.878539\pi\)
0.786535 + 0.617545i \(0.211873\pi\)
\(30\) −185.465 + 257.415i −1.12870 + 1.56658i
\(31\) 67.9692 + 117.726i 0.393794 + 0.682072i 0.992946 0.118563i \(-0.0378289\pi\)
−0.599152 + 0.800635i \(0.704496\pi\)
\(32\) −670.646 179.699i −3.70483 0.992706i
\(33\) −35.1447 4.97859i −0.185391 0.0262625i
\(34\) −241.199 139.257i −1.21663 0.702421i
\(35\) 26.0943 + 41.2922i 0.126021 + 0.199419i
\(36\) −163.669 + 566.092i −0.757729 + 2.62080i
\(37\) 233.330 + 233.330i 1.03674 + 1.03674i 0.999299 + 0.0374360i \(0.0119190\pi\)
0.0374360 + 0.999299i \(0.488081\pi\)
\(38\) −315.688 + 84.5883i −1.34767 + 0.361106i
\(39\) 130.494 15.8774i 0.535791 0.0651902i
\(40\) 392.515 747.330i 1.55155 2.95408i
\(41\) 335.678 193.804i 1.27864 0.738221i 0.302039 0.953295i \(-0.402333\pi\)
0.976598 + 0.215074i \(0.0689993\pi\)
\(42\) 97.6133 + 76.4365i 0.358620 + 0.280819i
\(43\) 82.0769 + 306.315i 0.291084 + 1.08634i 0.944278 + 0.329149i \(0.106762\pi\)
−0.653194 + 0.757191i \(0.726571\pi\)
\(44\) 149.090 0.510822
\(45\) −264.440 145.589i −0.876010 0.482293i
\(46\) −287.808 −0.922499
\(47\) 84.9338 + 316.977i 0.263593 + 0.983742i 0.963106 + 0.269122i \(0.0867335\pi\)
−0.699513 + 0.714620i \(0.746600\pi\)
\(48\) 173.263 1223.09i 0.521007 3.67787i
\(49\) −280.516 + 161.956i −0.817832 + 0.472175i
\(50\) 519.720 + 442.615i 1.46999 + 1.25190i
\(51\) 103.809 243.815i 0.285023 0.669430i
\(52\) −533.336 + 142.907i −1.42232 + 0.381108i
\(53\) 43.1181 + 43.1181i 0.111749 + 0.111749i 0.760770 0.649021i \(-0.224821\pi\)
−0.649021 + 0.760770i \(0.724821\pi\)
\(54\) −756.358 122.349i −1.90606 0.308325i
\(55\) −16.8030 + 74.5030i −0.0411948 + 0.182654i
\(56\) −285.671 164.932i −0.681685 0.393571i
\(57\) −116.171 288.445i −0.269952 0.670271i
\(58\) 233.210 + 62.4884i 0.527965 + 0.141468i
\(59\) −248.925 431.152i −0.549277 0.951376i −0.998324 0.0578676i \(-0.981570\pi\)
0.449047 0.893508i \(-0.351763\pi\)
\(60\) 1185.50 + 449.677i 2.55080 + 0.967551i
\(61\) 36.3039 62.8801i 0.0762006 0.131983i −0.825407 0.564538i \(-0.809054\pi\)
0.901608 + 0.432555i \(0.142388\pi\)
\(62\) 524.950 524.950i 1.07530 1.07530i
\(63\) −60.9764 + 100.979i −0.121941 + 0.201939i
\(64\) 1889.88i 3.69118i
\(65\) −11.3043 282.624i −0.0215712 0.539311i
\(66\) 23.4132 + 192.431i 0.0436662 + 0.358887i
\(67\) −47.7525 + 178.215i −0.0870730 + 0.324961i −0.995699 0.0926506i \(-0.970466\pi\)
0.908626 + 0.417612i \(0.137133\pi\)
\(68\) −288.076 + 1075.11i −0.513740 + 1.91730i
\(69\) −33.0742 271.833i −0.0577053 0.474273i
\(70\) 180.939 196.017i 0.308948 0.334692i
\(71\) 563.835i 0.942464i 0.882009 + 0.471232i \(0.156191\pi\)
−0.882009 + 0.471232i \(0.843809\pi\)
\(72\) 2038.16 + 40.0503i 3.33611 + 0.0655552i
\(73\) 84.7460 84.7460i 0.135874 0.135874i −0.635899 0.771772i \(-0.719370\pi\)
0.771772 + 0.635899i \(0.219370\pi\)
\(74\) 901.044 1560.65i 1.41546 2.45165i
\(75\) −358.322 + 541.738i −0.551674 + 0.834060i
\(76\) 653.054 + 1131.12i 0.985663 + 1.70722i
\(77\) 28.8279 + 7.72441i 0.0426655 + 0.0114322i
\(78\) −268.206 665.935i −0.389338 0.966697i
\(79\) −186.138 107.467i −0.265091 0.153050i 0.361564 0.932347i \(-0.382243\pi\)
−0.626655 + 0.779297i \(0.715576\pi\)
\(80\) −2592.82 584.770i −3.62357 0.817240i
\(81\) 28.6389 728.437i 0.0392852 0.999228i
\(82\) −1496.82 1496.82i −2.01580 2.01580i
\(83\) −930.125 + 249.226i −1.23005 + 0.329592i −0.814601 0.580022i \(-0.803044\pi\)
−0.415454 + 0.909614i \(0.636377\pi\)
\(84\) 194.095 455.867i 0.252113 0.592133i
\(85\) −504.787 265.126i −0.644139 0.338317i
\(86\) 1499.84 865.935i 1.88061 1.08577i
\(87\) −32.2201 + 227.447i −0.0397052 + 0.280286i
\(88\) −133.490 498.190i −0.161705 0.603491i
\(89\) −288.322 −0.343394 −0.171697 0.985150i \(-0.554925\pi\)
−0.171697 + 0.985150i \(0.554925\pi\)
\(90\) −394.226 + 1600.75i −0.461723 + 1.87482i
\(91\) −110.529 −0.127326
\(92\) 297.690 + 1110.99i 0.337351 + 1.25901i
\(93\) 556.139 + 435.487i 0.620096 + 0.485569i
\(94\) 1552.05 896.076i 1.70300 0.983226i
\(95\) −638.844 + 198.861i −0.689937 + 0.214766i
\(96\) −3581.30 + 435.740i −3.80744 + 0.463255i
\(97\) 1588.58 425.658i 1.66284 0.445556i 0.699673 0.714463i \(-0.253329\pi\)
0.963166 + 0.268907i \(0.0866623\pi\)
\(98\) 1250.84 + 1250.84i 1.28933 + 1.28933i
\(99\) −179.059 + 44.2274i −0.181779 + 0.0448992i
\(100\) 1171.01 2464.03i 1.17101 2.46403i
\(101\) −1256.46 725.417i −1.23785 0.714670i −0.269192 0.963087i \(-0.586757\pi\)
−0.968653 + 0.248416i \(0.920090\pi\)
\(102\) −1432.89 202.983i −1.39095 0.197042i
\(103\) 315.242 + 84.4689i 0.301570 + 0.0808055i 0.406431 0.913681i \(-0.366773\pi\)
−0.104861 + 0.994487i \(0.533440\pi\)
\(104\) 955.059 + 1654.21i 0.900492 + 1.55970i
\(105\) 205.930 + 148.371i 0.191397 + 0.137900i
\(106\) 166.508 288.400i 0.152573 0.264263i
\(107\) −1233.98 + 1233.98i −1.11489 + 1.11489i −0.122409 + 0.992480i \(0.539062\pi\)
−0.992480 + 0.122409i \(0.960938\pi\)
\(108\) 310.038 + 3046.24i 0.276236 + 2.71411i
\(109\) 577.196i 0.507205i 0.967308 + 0.253603i \(0.0816156\pi\)
−0.967308 + 0.253603i \(0.918384\pi\)
\(110\) 416.765 16.6697i 0.361245 0.0144490i
\(111\) 1577.58 + 671.686i 1.34898 + 0.574357i
\(112\) −268.821 + 1003.25i −0.226797 + 0.846417i
\(113\) 491.221 1833.26i 0.408940 1.52618i −0.387732 0.921772i \(-0.626741\pi\)
0.796672 0.604412i \(-0.206592\pi\)
\(114\) −1357.38 + 1020.53i −1.11518 + 0.838433i
\(115\) −588.734 + 23.5481i −0.477389 + 0.0190945i
\(116\) 964.869i 0.772292i
\(117\) 598.152 329.847i 0.472642 0.260636i
\(118\) −1922.54 + 1922.54i −1.49987 + 1.49987i
\(119\) −111.404 + 192.958i −0.0858185 + 0.148642i
\(120\) 441.157 4364.03i 0.335599 3.31983i
\(121\) −642.168 1112.27i −0.482470 0.835663i
\(122\) −383.017 102.629i −0.284235 0.0761606i
\(123\) 1241.73 1585.75i 0.910265 1.16245i
\(124\) −2569.38 1483.43i −1.86078 1.07432i
\(125\) 1099.35 + 862.882i 0.786627 + 0.617428i
\(126\) 618.869 + 178.928i 0.437565 + 0.126510i
\(127\) 1405.14 + 1405.14i 0.981780 + 0.981780i 0.999837 0.0180574i \(-0.00574816\pi\)
−0.0180574 + 0.999837i \(0.505748\pi\)
\(128\) 4604.25 1233.71i 3.17939 0.851916i
\(129\) 990.231 + 1317.09i 0.675853 + 0.898937i
\(130\) −1474.91 + 459.113i −0.995060 + 0.309745i
\(131\) −1336.30 + 771.513i −0.891244 + 0.514560i −0.874349 0.485297i \(-0.838711\pi\)
−0.0168950 + 0.999857i \(0.505378\pi\)
\(132\) 718.602 289.417i 0.473835 0.190837i
\(133\) 67.6700 + 252.548i 0.0441183 + 0.164652i
\(134\) 1007.61 0.649581
\(135\) −1557.20 188.390i −0.992761 0.120104i
\(136\) 3850.47 2.42776
\(137\) 32.0003 + 119.427i 0.0199560 + 0.0744767i 0.975186 0.221388i \(-0.0710588\pi\)
−0.955230 + 0.295865i \(0.904392\pi\)
\(138\) −1387.21 + 558.700i −0.855704 + 0.344635i
\(139\) 308.354 178.028i 0.188160 0.108634i −0.402961 0.915217i \(-0.632019\pi\)
0.591121 + 0.806583i \(0.298686\pi\)
\(140\) −943.814 495.713i −0.569763 0.299253i
\(141\) 1024.70 + 1362.93i 0.612022 + 0.814038i
\(142\) 2974.32 796.965i 1.75774 0.470985i
\(143\) −122.202 122.202i −0.0714619 0.0714619i
\(144\) −1539.18 6231.54i −0.890729 3.60621i
\(145\) 482.163 + 108.744i 0.276148 + 0.0622808i
\(146\) −566.834 327.262i −0.321312 0.185509i
\(147\) −1037.67 + 1325.16i −0.582217 + 0.743520i
\(148\) −6956.41 1863.96i −3.86360 1.03525i
\(149\) 601.701 + 1042.18i 0.330827 + 0.573009i 0.982674 0.185341i \(-0.0593390\pi\)
−0.651847 + 0.758350i \(0.726006\pi\)
\(150\) 3364.23 + 1124.47i 1.83125 + 0.612085i
\(151\) −820.064 + 1420.39i −0.441959 + 0.765496i −0.997835 0.0657697i \(-0.979050\pi\)
0.555876 + 0.831265i \(0.312383\pi\)
\(152\) 3194.97 3194.97i 1.70491 1.70491i
\(153\) 27.0521 1376.69i 0.0142944 0.727441i
\(154\) 162.990i 0.0852862i
\(155\) 1030.88 1116.78i 0.534207 0.578722i
\(156\) −2293.22 + 1724.13i −1.17695 + 0.884876i
\(157\) 907.102 3385.35i 0.461112 1.72089i −0.208355 0.978053i \(-0.566811\pi\)
0.669467 0.742842i \(-0.266522\pi\)
\(158\) −303.803 + 1133.81i −0.152970 + 0.570892i
\(159\) 291.528 + 124.124i 0.145407 + 0.0619098i
\(160\) 310.237 + 7756.35i 0.153290 + 3.83246i
\(161\) 230.244i 0.112707i
\(162\) −3883.09 + 878.551i −1.88324 + 0.426083i
\(163\) 1206.55 1206.55i 0.579781 0.579781i −0.355062 0.934843i \(-0.615540\pi\)
0.934843 + 0.355062i \(0.115540\pi\)
\(164\) −4229.79 + 7326.20i −2.01397 + 3.48830i
\(165\) 63.6381 + 391.717i 0.0300256 + 0.184819i
\(166\) 2629.41 + 4554.27i 1.22941 + 2.12940i
\(167\) 329.658 + 88.3316i 0.152753 + 0.0409299i 0.334385 0.942437i \(-0.391471\pi\)
−0.181632 + 0.983367i \(0.558138\pi\)
\(168\) −1697.08 240.408i −0.779361 0.110404i
\(169\) −1348.37 778.483i −0.613734 0.354339i
\(170\) −685.077 + 3037.57i −0.309077 + 1.37042i
\(171\) −1119.87 1164.77i −0.500812 0.520889i
\(172\) −4894.02 4894.02i −2.16957 2.16957i
\(173\) 716.558 192.001i 0.314907 0.0843790i −0.0979039 0.995196i \(-0.531214\pi\)
0.412811 + 0.910817i \(0.364547\pi\)
\(174\) 1245.36 151.524i 0.542588 0.0660172i
\(175\) 354.088 415.772i 0.152952 0.179597i
\(176\) −1406.42 + 811.995i −0.602344 + 0.347764i
\(177\) −2036.76 1594.90i −0.864930 0.677287i
\(178\) 407.535 + 1520.94i 0.171607 + 0.640445i
\(179\) 2527.65 1.05545 0.527725 0.849416i \(-0.323045\pi\)
0.527725 + 0.849416i \(0.323045\pi\)
\(180\) 6586.96 133.923i 2.72757 0.0554559i
\(181\) −2223.82 −0.913232 −0.456616 0.889664i \(-0.650939\pi\)
−0.456616 + 0.889664i \(0.650939\pi\)
\(182\) 156.230 + 583.059i 0.0636294 + 0.237468i
\(183\) 52.9172 373.551i 0.0213757 0.150895i
\(184\) 3445.89 1989.48i 1.38062 0.797101i
\(185\) 1715.47 3266.17i 0.681751 1.29802i
\(186\) 1511.17 3549.26i 0.595723 1.39916i
\(187\) −336.505 + 90.1661i −0.131592 + 0.0352599i
\(188\) −5064.37 5064.37i −1.96466 1.96466i
\(189\) −97.8781 + 605.081i −0.0376698 + 0.232874i
\(190\) 1952.01 + 3088.91i 0.745336 + 1.17944i
\(191\) −2292.92 1323.82i −0.868639 0.501509i −0.00174321 0.999998i \(-0.500555\pi\)
−0.866896 + 0.498490i \(0.833888\pi\)
\(192\) 3668.69 + 9109.09i 1.37898 + 3.42392i
\(193\) 992.559 + 265.955i 0.370186 + 0.0991911i 0.439116 0.898430i \(-0.355292\pi\)
−0.0689296 + 0.997622i \(0.521958\pi\)
\(194\) −4490.81 7778.32i −1.66197 2.87861i
\(195\) −603.123 1340.28i −0.221490 0.492203i
\(196\) 3534.71 6122.29i 1.28816 2.23116i
\(197\) −1735.07 + 1735.07i −0.627507 + 0.627507i −0.947440 0.319933i \(-0.896340\pi\)
0.319933 + 0.947440i \(0.396340\pi\)
\(198\) 486.401 + 882.050i 0.174581 + 0.316589i
\(199\) 764.080i 0.272182i −0.990696 0.136091i \(-0.956546\pi\)
0.990696 0.136091i \(-0.0434539\pi\)
\(200\) −9282.14 1706.78i −3.28173 0.603438i
\(201\) 115.792 + 951.679i 0.0406334 + 0.333961i
\(202\) −2050.71 + 7653.36i −0.714295 + 2.66579i
\(203\) 49.9902 186.566i 0.0172839 0.0645043i
\(204\) 698.536 + 5741.19i 0.239742 + 1.97041i
\(205\) −3184.33 2939.39i −1.08489 1.00144i
\(206\) 1782.34i 0.602824i
\(207\) −687.105 1246.01i −0.230710 0.418375i
\(208\) 4252.82 4252.82i 1.41769 1.41769i
\(209\) −204.402 + 354.035i −0.0676497 + 0.117173i
\(210\) 491.600 1296.03i 0.161541 0.425878i
\(211\) 1529.60 + 2649.34i 0.499061 + 0.864398i 0.999999 0.00108439i \(-0.000345174\pi\)
−0.500939 + 0.865483i \(0.667012\pi\)
\(212\) −1285.51 344.450i −0.416457 0.111589i
\(213\) 1094.53 + 2717.64i 0.352094 + 0.874224i
\(214\) 8253.61 + 4765.22i 2.63647 + 1.52217i
\(215\) 2997.21 1894.06i 0.950734 0.600808i
\(216\) 9901.53 3763.49i 3.11904 1.18552i
\(217\) −419.956 419.956i −0.131375 0.131375i
\(218\) 3044.80 815.851i 0.945962 0.253470i
\(219\) 243.958 572.980i 0.0752747 0.176796i
\(220\) −495.423 1591.55i −0.151825 0.487738i
\(221\) 1117.34 645.099i 0.340093 0.196353i
\(222\) 1313.38 9271.36i 0.397064 2.80294i
\(223\) 1124.39 + 4196.27i 0.337644 + 1.26010i 0.900975 + 0.433872i \(0.142853\pi\)
−0.563331 + 0.826231i \(0.690480\pi\)
\(224\) 3033.37 0.904803
\(225\) −675.450 + 3306.72i −0.200133 + 0.979769i
\(226\) −10365.1 −3.05077
\(227\) 694.451 + 2591.73i 0.203050 + 0.757793i 0.990035 + 0.140821i \(0.0449742\pi\)
−0.786985 + 0.616972i \(0.788359\pi\)
\(228\) 5343.43 + 4184.20i 1.55209 + 1.21537i
\(229\) −4176.87 + 2411.52i −1.20531 + 0.695884i −0.961731 0.273997i \(-0.911654\pi\)
−0.243577 + 0.969882i \(0.578321\pi\)
\(230\) 956.379 + 3072.38i 0.274182 + 0.880811i
\(231\) 153.943 18.7304i 0.0438472 0.00533493i
\(232\) −3224.15 + 863.908i −0.912395 + 0.244475i
\(233\) −1004.66 1004.66i −0.282479 0.282479i 0.551618 0.834097i \(-0.314011\pi\)
−0.834097 + 0.551618i \(0.814011\pi\)
\(234\) −2585.46 2689.11i −0.722295 0.751250i
\(235\) 3101.53 1959.98i 0.860943 0.544065i
\(236\) 9409.92 + 5432.82i 2.59548 + 1.49850i
\(237\) −1105.79 156.646i −0.303075 0.0429335i
\(238\) 1175.35 + 314.933i 0.320111 + 0.0857735i
\(239\) 3310.25 + 5733.51i 0.895908 + 1.55176i 0.832677 + 0.553759i \(0.186807\pi\)
0.0632311 + 0.997999i \(0.479859\pi\)
\(240\) −13632.4 + 2214.70i −3.66652 + 0.595660i
\(241\) −1226.12 + 2123.69i −0.327722 + 0.567631i −0.982059 0.188571i \(-0.939614\pi\)
0.654337 + 0.756203i \(0.272948\pi\)
\(242\) −4959.69 + 4959.69i −1.31744 + 1.31744i
\(243\) −1276.02 3566.60i −0.336860 0.941555i
\(244\) 1584.67i 0.415771i
\(245\) 2661.05 + 2456.36i 0.693911 + 0.640536i
\(246\) −10120.2 4308.88i −2.62293 1.11676i
\(247\) 391.851 1462.41i 0.100943 0.376723i
\(248\) −2656.42 + 9913.90i −0.680173 + 2.53844i
\(249\) −3999.33 + 3006.83i −1.01786 + 0.765262i
\(250\) 2997.94 7018.87i 0.758424 1.77565i
\(251\) 6563.11i 1.65044i −0.564814 0.825219i \(-0.691052\pi\)
0.564814 0.825219i \(-0.308948\pi\)
\(252\) 50.5801 2574.02i 0.0126438 0.643446i
\(253\) −254.559 + 254.559i −0.0632569 + 0.0632569i
\(254\) 5426.20 9398.45i 1.34043 2.32170i
\(255\) −2947.70 297.981i −0.723892 0.0731777i
\(256\) −5456.43 9450.81i −1.33214 2.30733i
\(257\) 3014.35 + 807.694i 0.731635 + 0.196041i 0.605357 0.795954i \(-0.293030\pi\)
0.126278 + 0.991995i \(0.459697\pi\)
\(258\) 5548.16 7085.28i 1.33881 1.70973i
\(259\) −1248.51 720.829i −0.299532 0.172935i
\(260\) 3297.81 + 5218.54i 0.786622 + 1.24477i
\(261\) 286.227 + 1158.82i 0.0678813 + 0.274825i
\(262\) 5958.66 + 5958.66i 1.40507 + 1.40507i
\(263\) −4536.33 + 1215.51i −1.06358 + 0.284986i −0.747854 0.663863i \(-0.768916\pi\)
−0.315729 + 0.948849i \(0.602249\pi\)
\(264\) −1610.51 2142.10i −0.375454 0.499384i
\(265\) 317.009 603.570i 0.0734858 0.139913i
\(266\) 1236.58 713.938i 0.285035 0.164565i
\(267\) −1389.69 + 559.698i −0.318530 + 0.128288i
\(268\) −1042.20 3889.55i −0.237547 0.886538i
\(269\) 4107.03 0.930893 0.465446 0.885076i \(-0.345894\pi\)
0.465446 + 0.885076i \(0.345894\pi\)
\(270\) 1207.28 + 8480.77i 0.272121 + 1.91157i
\(271\) −358.244 −0.0803017 −0.0401508 0.999194i \(-0.512784\pi\)
−0.0401508 + 0.999194i \(0.512784\pi\)
\(272\) −3137.92 11710.9i −0.699501 2.61057i
\(273\) −532.743 + 214.563i −0.118107 + 0.0475675i
\(274\) 584.762 337.612i 0.128930 0.0744376i
\(275\) 851.163 68.1984i 0.186644 0.0149546i
\(276\) 3591.53 + 4777.02i 0.783278 + 1.04182i
\(277\) −1618.41 + 433.653i −0.351051 + 0.0940637i −0.430035 0.902812i \(-0.641499\pi\)
0.0789846 + 0.996876i \(0.474832\pi\)
\(278\) −1374.97 1374.97i −0.296638 0.296638i
\(279\) 3525.92 + 1019.42i 0.756601 + 0.218750i
\(280\) −811.390 + 3597.63i −0.173178 + 0.767856i
\(281\) 3329.19 + 1922.11i 0.706771 + 0.408054i 0.809864 0.586617i \(-0.199541\pi\)
−0.103094 + 0.994672i \(0.532874\pi\)
\(282\) 5741.27 7331.90i 1.21237 1.54826i
\(283\) −1096.06 293.688i −0.230226 0.0616888i 0.141862 0.989886i \(-0.454691\pi\)
−0.372087 + 0.928198i \(0.621358\pi\)
\(284\) −6152.88 10657.1i −1.28559 2.22670i
\(285\) −2693.14 + 2198.64i −0.559748 + 0.456969i
\(286\) −471.905 + 817.363i −0.0975676 + 0.168992i
\(287\) −1197.44 + 1197.44i −0.246281 + 0.246281i
\(288\) −16415.7 + 9052.33i −3.35869 + 1.85213i
\(289\) 2312.18i 0.470626i
\(290\) −107.881 2697.19i −0.0218449 0.546153i
\(291\) 6830.51 5135.42i 1.37599 1.03451i
\(292\) −676.997 + 2526.59i −0.135679 + 0.506360i
\(293\) 116.545 434.952i 0.0232377 0.0867241i −0.953333 0.301920i \(-0.902372\pi\)
0.976571 + 0.215196i \(0.0690391\pi\)
\(294\) 8457.14 + 3600.80i 1.67766 + 0.714296i
\(295\) −3775.41 + 4090.01i −0.745129 + 0.807220i
\(296\) 24914.0i 4.89223i
\(297\) −777.196 + 560.767i −0.151843 + 0.109559i
\(298\) 4647.15 4647.15i 0.903362 0.903362i
\(299\) 666.627 1154.63i 0.128937 0.223325i
\(300\) 860.942 14149.6i 0.165688 2.72310i
\(301\) −692.742 1199.86i −0.132654 0.229764i
\(302\) 8651.91 + 2318.27i 1.64855 + 0.441727i
\(303\) −7464.23 1057.38i −1.41521 0.200479i
\(304\) −12321.0 7113.51i −2.32452 1.34206i
\(305\) −791.889 178.598i −0.148667 0.0335295i
\(306\) −7300.46 + 1803.20i −1.36385 + 0.336870i
\(307\) 1217.81 + 1217.81i 0.226398 + 0.226398i 0.811186 0.584788i \(-0.198822\pi\)
−0.584788 + 0.811186i \(0.698822\pi\)
\(308\) −629.171 + 168.586i −0.116397 + 0.0311886i
\(309\) 1683.42 204.823i 0.309923 0.0377086i
\(310\) −7348.29 3859.50i −1.34631 0.707112i
\(311\) −4660.61 + 2690.81i −0.849772 + 0.490616i −0.860574 0.509326i \(-0.829895\pi\)
0.0108020 + 0.999942i \(0.496562\pi\)
\(312\) 7814.50 + 6119.18i 1.41798 + 1.11035i
\(313\) 1248.92 + 4661.02i 0.225537 + 0.841714i 0.982189 + 0.187896i \(0.0601669\pi\)
−0.756652 + 0.653817i \(0.773166\pi\)
\(314\) −19140.4 −3.43998
\(315\) 1280.59 + 315.378i 0.229057 + 0.0564112i
\(316\) 4690.95 0.835084
\(317\) −997.303 3721.99i −0.176701 0.659456i −0.996256 0.0864556i \(-0.972446\pi\)
0.819555 0.573001i \(-0.194221\pi\)
\(318\) 242.705 1713.30i 0.0427995 0.302129i
\(319\) 261.538 150.999i 0.0459039 0.0265026i
\(320\) 20174.7 6280.05i 3.52438 1.09708i
\(321\) −3552.25 + 8343.11i −0.617654 + 1.45068i
\(322\) 1214.57 325.443i 0.210203 0.0563238i
\(323\) −2158.06 2158.06i −0.371757 0.371757i
\(324\) 7407.80 + 14080.8i 1.27020 + 2.41440i
\(325\) −2979.48 + 1059.83i −0.508528 + 0.180888i
\(326\) −8070.15 4659.30i −1.37106 0.791579i
\(327\) 1120.47 + 2782.04i 0.189486 + 0.470481i
\(328\) 28268.0 + 7574.39i 4.75865 + 1.27508i
\(329\) −716.854 1241.63i −0.120126 0.208064i
\(330\) 1976.41 889.381i 0.329691 0.148360i
\(331\) 2384.56 4130.18i 0.395974 0.685847i −0.597251 0.802054i \(-0.703740\pi\)
0.993225 + 0.116207i \(0.0370737\pi\)
\(332\) 14860.7 14860.7i 2.45658 2.45658i
\(333\) 8907.69 + 175.038i 1.46588 + 0.0288049i
\(334\) 1863.85i 0.305345i
\(335\) 2061.14 82.4410i 0.336156 0.0134455i
\(336\) 651.846 + 5357.45i 0.105837 + 0.869860i
\(337\) 2610.76 9743.49i 0.422009 1.57496i −0.348359 0.937361i \(-0.613261\pi\)
0.770368 0.637599i \(-0.220072\pi\)
\(338\) −2200.73 + 8213.23i −0.354153 + 1.32172i
\(339\) −1191.13 9789.75i −0.190835 1.56846i
\(340\) 12434.2 497.341i 1.98335 0.0793298i
\(341\) 928.612i 0.147470i
\(342\) −4561.41 + 7553.86i −0.721207 + 1.19435i
\(343\) 2060.30 2060.30i 0.324332 0.324332i
\(344\) −11971.6 + 20735.5i −1.87636 + 3.24995i
\(345\) −2791.94 + 1256.37i −0.435690 + 0.196059i
\(346\) −2025.67 3508.56i −0.314742 0.545148i
\(347\) −9703.39 2600.02i −1.50117 0.402237i −0.587677 0.809095i \(-0.699958\pi\)
−0.913491 + 0.406858i \(0.866624\pi\)
\(348\) −1873.03 4650.59i −0.288520 0.716373i
\(349\) −5945.55 3432.67i −0.911914 0.526494i −0.0308677 0.999523i \(-0.509827\pi\)
−0.881047 + 0.473030i \(0.843160\pi\)
\(350\) −2693.75 1280.19i −0.411392 0.195511i
\(351\) 2242.74 2750.98i 0.341050 0.418338i
\(352\) 3353.72 + 3353.72i 0.507823 + 0.507823i
\(353\) 8645.22 2316.48i 1.30351 0.349274i 0.460733 0.887539i \(-0.347587\pi\)
0.842776 + 0.538265i \(0.180920\pi\)
\(354\) −5534.41 + 12998.6i −0.830933 + 1.95160i
\(355\) 6019.00 1873.61i 0.899874 0.280116i
\(356\) 5449.59 3146.32i 0.811314 0.468412i
\(357\) −162.385 + 1146.30i −0.0240737 + 0.169940i
\(358\) −3572.76 13333.7i −0.527448 1.96846i
\(359\) −2589.44 −0.380684 −0.190342 0.981718i \(-0.560960\pi\)
−0.190342 + 0.981718i \(0.560960\pi\)
\(360\) −6345.23 21890.7i −0.928952 3.20483i
\(361\) 3277.66 0.477862
\(362\) 3143.30 + 11731.0i 0.456376 + 1.70322i
\(363\) −5254.36 4114.45i −0.759731 0.594911i
\(364\) 2089.13 1206.16i 0.300824 0.173681i
\(365\) −1186.28 623.063i −0.170117 0.0893496i
\(366\) −2045.34 + 248.858i −0.292108 + 0.0355410i
\(367\) 7645.28 2048.55i 1.08741 0.291371i 0.329783 0.944057i \(-0.393024\pi\)
0.757629 + 0.652686i \(0.226358\pi\)
\(368\) −8859.06 8859.06i −1.25492 1.25492i
\(369\) 2906.73 10053.6i 0.410076 1.41835i
\(370\) −19654.3 4432.72i −2.76156 0.622827i
\(371\) −230.718 133.205i −0.0322865 0.0186406i
\(372\) −15263.9 2162.28i −2.12741 0.301369i
\(373\) −5841.25 1565.16i −0.810854 0.217268i −0.170510 0.985356i \(-0.554542\pi\)
−0.640344 + 0.768088i \(0.721208\pi\)
\(374\) 951.279 + 1647.66i 0.131523 + 0.227804i
\(375\) 6973.81 + 2024.95i 0.960335 + 0.278847i
\(376\) −12388.3 + 21457.2i −1.69915 + 2.94301i
\(377\) −790.858 + 790.858i −0.108040 + 0.108040i
\(378\) 3330.24 338.943i 0.453146 0.0461200i
\(379\) 13501.8i 1.82992i −0.403542 0.914961i \(-0.632221\pi\)
0.403542 0.914961i \(-0.367779\pi\)
\(380\) 9904.76 10730.1i 1.33711 1.44853i
\(381\) 9500.36 + 4044.97i 1.27748 + 0.543911i
\(382\) −3742.36 + 13966.7i −0.501246 + 1.87067i
\(383\) −2499.74 + 9329.14i −0.333500 + 1.24464i 0.571986 + 0.820263i \(0.306173\pi\)
−0.905486 + 0.424376i \(0.860494\pi\)
\(384\) 19797.2 14884.3i 2.63092 1.97802i
\(385\) −13.3356 333.409i −0.00176531 0.0441353i
\(386\) 5611.82i 0.739984i
\(387\) 7329.59 + 4425.98i 0.962750 + 0.581358i
\(388\) −25380.8 + 25380.8i −3.32091 + 3.32091i
\(389\) 2925.52 5067.16i 0.381311 0.660450i −0.609939 0.792448i \(-0.708806\pi\)
0.991250 + 0.131998i \(0.0421394\pi\)
\(390\) −6217.69 + 5076.01i −0.807294 + 0.659061i
\(391\) −1343.81 2327.54i −0.173809 0.301045i
\(392\) −23622.7 6329.69i −3.04369 0.815555i
\(393\) −4943.18 + 6312.69i −0.634479 + 0.810262i
\(394\) 11605.2 + 6700.29i 1.48392 + 0.856741i
\(395\) −528.687 + 2344.16i −0.0673447 + 0.298601i
\(396\) 2901.78 2789.94i 0.368232 0.354039i
\(397\) 4637.81 + 4637.81i 0.586309 + 0.586309i 0.936630 0.350321i \(-0.113927\pi\)
−0.350321 + 0.936630i \(0.613927\pi\)
\(398\) −4030.64 + 1080.01i −0.507632 + 0.136020i
\(399\) 816.416 + 1085.90i 0.102436 + 0.136248i
\(400\) 2373.41 + 29621.8i 0.296676 + 3.70272i
\(401\) −5746.08 + 3317.50i −0.715576 + 0.413138i −0.813122 0.582093i \(-0.802234\pi\)
0.0975465 + 0.995231i \(0.468901\pi\)
\(402\) 4856.58 1955.99i 0.602548 0.242676i
\(403\) 890.102 + 3321.90i 0.110023 + 0.410610i
\(404\) 31664.6 3.89944
\(405\) −7871.31 + 2114.86i −0.965749 + 0.259477i
\(406\) −1054.82 −0.128941
\(407\) −583.410 2177.32i −0.0710530 0.265173i
\(408\) 18559.0 7474.63i 2.25197 0.906983i
\(409\) −4763.16 + 2750.01i −0.575851 + 0.332468i −0.759483 0.650527i \(-0.774548\pi\)
0.183632 + 0.982995i \(0.441215\pi\)
\(410\) −11004.8 + 20952.5i −1.32558 + 2.52384i
\(411\) 386.073 + 513.507i 0.0463347 + 0.0616288i
\(412\) −6880.19 + 1843.54i −0.822725 + 0.220448i
\(413\) 1538.02 + 1538.02i 0.183247 + 0.183247i
\(414\) −5601.68 + 5385.78i −0.664995 + 0.639364i
\(415\) 5751.30 + 9101.01i 0.680290 + 1.07651i
\(416\) −15211.8 8782.55i −1.79284 1.03510i
\(417\) 1140.65 1456.67i 0.133952 0.171063i
\(418\) 2156.50 + 577.833i 0.252340 + 0.0676142i
\(419\) −393.101 680.870i −0.0458335 0.0793859i 0.842199 0.539167i \(-0.181261\pi\)
−0.888032 + 0.459782i \(0.847928\pi\)
\(420\) −5511.40 557.143i −0.640306 0.0647281i
\(421\) 7854.61 13604.6i 0.909289 1.57493i 0.0942338 0.995550i \(-0.469960\pi\)
0.815055 0.579384i \(-0.196707\pi\)
\(422\) 11813.6 11813.6i 1.36274 1.36274i
\(423\) 7584.72 + 4580.04i 0.871824 + 0.526452i
\(424\) 4603.98i 0.527332i
\(425\) −1152.85 + 6269.66i −0.131580 + 0.715584i
\(426\) 12788.9 9615.13i 1.45451 1.09356i
\(427\) −82.1024 + 306.410i −0.00930495 + 0.0347265i
\(428\) 9857.68 36789.3i 1.11329 4.15486i
\(429\) −826.226 351.783i −0.0929851 0.0395903i
\(430\) −14227.9 13133.5i −1.59565 1.47292i
\(431\) 1343.42i 0.150140i 0.997178 + 0.0750702i \(0.0239181\pi\)
−0.997178 + 0.0750702i \(0.976082\pi\)
\(432\) −19515.5 27047.6i −2.17348 3.01234i
\(433\) −4364.85 + 4364.85i −0.484437 + 0.484437i −0.906545 0.422108i \(-0.861290\pi\)
0.422108 + 0.906545i \(0.361290\pi\)
\(434\) −1621.73 + 2808.93i −0.179368 + 0.310675i
\(435\) 2535.08 411.848i 0.279421 0.0453945i
\(436\) −6298.68 10909.6i −0.691863 1.19834i
\(437\) −3046.34 816.264i −0.333470 0.0893529i
\(438\) −3367.38 477.023i −0.367351 0.0520389i
\(439\) 6104.30 + 3524.32i 0.663649 + 0.383158i 0.793666 0.608354i \(-0.208170\pi\)
−0.130017 + 0.991512i \(0.541503\pi\)
\(440\) −4874.65 + 3080.49i −0.528158 + 0.333765i
\(441\) −2429.06 + 8401.53i −0.262290 + 0.907195i
\(442\) −4982.32 4982.32i −0.536165 0.536165i
\(443\) −5676.94 + 1521.13i −0.608848 + 0.163140i −0.550053 0.835130i \(-0.685392\pi\)
−0.0587949 + 0.998270i \(0.518726\pi\)
\(444\) −37147.7 + 4519.80i −3.97061 + 0.483109i
\(445\) 958.087 + 3077.86i 0.102062 + 0.327876i
\(446\) 20546.7 11862.6i 2.18142 1.25944i
\(447\) 4923.25 + 3855.17i 0.520943 + 0.407927i
\(448\) −2137.02 7975.46i −0.225367 0.841083i
\(449\) −9280.82 −0.975477 −0.487738 0.872990i \(-0.662178\pi\)
−0.487738 + 0.872990i \(0.662178\pi\)
\(450\) 18398.2 1110.85i 1.92733 0.116369i
\(451\) −2647.80 −0.276452
\(452\) 10720.9 + 40011.1i 1.11564 + 4.16364i
\(453\) −1195.34 + 8438.11i −0.123978 + 0.875181i
\(454\) 12690.2 7326.67i 1.31185 0.757395i
\(455\) 367.287 + 1179.91i 0.0378433 + 0.121572i
\(456\) 9197.34 21601.7i 0.944529 2.21840i
\(457\) −2950.39 + 790.554i −0.301999 + 0.0809203i −0.406636 0.913590i \(-0.633298\pi\)
0.104638 + 0.994510i \(0.466632\pi\)
\(458\) 18625.0 + 18625.0i 1.90019 + 1.90019i
\(459\) −2542.07 6688.03i −0.258504 0.680110i
\(460\) 10870.7 6869.67i 1.10185 0.696305i
\(461\) 6729.62 + 3885.35i 0.679890 + 0.392535i 0.799814 0.600248i \(-0.204932\pi\)
−0.119923 + 0.992783i \(0.538265\pi\)
\(462\) −316.400 785.597i −0.0318620 0.0791110i
\(463\) −3695.76 990.276i −0.370965 0.0993997i 0.0685201 0.997650i \(-0.478172\pi\)
−0.439485 + 0.898250i \(0.644839\pi\)
\(464\) 5255.00 + 9101.94i 0.525770 + 0.910661i
\(465\) 2800.83 7383.96i 0.279323 0.736393i
\(466\) −3879.68 + 6719.80i −0.385671 + 0.668002i
\(467\) −3050.23 + 3050.23i −0.302243 + 0.302243i −0.841891 0.539648i \(-0.818557\pi\)
0.539648 + 0.841891i \(0.318557\pi\)
\(468\) −7706.24 + 12761.8i −0.761156 + 1.26050i
\(469\) 806.077i 0.0793628i
\(470\) −14723.1 13590.6i −1.44495 1.33381i
\(471\) −2199.57 18078.0i −0.215182 1.76856i
\(472\) 9728.69 36308.0i 0.948727 3.54070i
\(473\) 560.678 2092.48i 0.0545032 0.203409i
\(474\) 736.671 + 6054.62i 0.0713849 + 0.586704i
\(475\) 4245.73 + 6158.92i 0.410121 + 0.594927i
\(476\) 4862.81i 0.468249i
\(477\) 1646.09 + 32.3460i 0.158007 + 0.00310487i
\(478\) 25566.2 25566.2i 2.44638 2.44638i
\(479\) −1094.98 + 1896.57i −0.104449 + 0.180911i −0.913513 0.406810i \(-0.866641\pi\)
0.809064 + 0.587721i \(0.199975\pi\)
\(480\) 16552.1 + 36782.7i 1.57395 + 3.49770i
\(481\) 4174.04 + 7229.65i 0.395675 + 0.685330i
\(482\) 12935.9 + 3466.16i 1.22243 + 0.327550i
\(483\) 446.956 + 1109.76i 0.0421060 + 0.104546i
\(484\) 24275.3 + 14015.4i 2.27980 + 1.31624i
\(485\) −9822.74 15543.8i −0.919645 1.45527i
\(486\) −17010.7 + 11772.5i −1.58770 + 1.09879i
\(487\) −1824.01 1824.01i −0.169721 0.169721i 0.617136 0.786857i \(-0.288293\pi\)
−0.786857 + 0.617136i \(0.788293\pi\)
\(488\) 5295.24 1418.85i 0.491197 0.131616i
\(489\) 3473.29 8157.66i 0.321201 0.754401i
\(490\) 9196.36 17509.4i 0.847856 1.61428i
\(491\) −2339.22 + 1350.55i −0.215005 + 0.124133i −0.603635 0.797260i \(-0.706282\pi\)
0.388630 + 0.921394i \(0.372948\pi\)
\(492\) −6165.42 + 43522.7i −0.564957 + 3.98812i
\(493\) 583.530 + 2177.76i 0.0533081 + 0.198948i
\(494\) −8268.28 −0.753052
\(495\) 1067.14 + 1764.51i 0.0968979 + 0.160220i
\(496\) 32317.1 2.92557
\(497\) −637.566 2379.43i −0.0575428 0.214753i
\(498\) 21514.4 + 16847.0i 1.93591 + 1.51592i
\(499\) −14609.9 + 8435.02i −1.31068 + 0.756720i −0.982208 0.187795i \(-0.939866\pi\)
−0.328469 + 0.944515i \(0.606533\pi\)
\(500\) −30195.0 4312.74i −2.70073 0.385744i
\(501\) 1760.40 214.189i 0.156983 0.0191003i
\(502\) −34621.4 + 9276.77i −3.07814 + 0.824786i
\(503\) −3851.44 3851.44i −0.341406 0.341406i 0.515490 0.856896i \(-0.327610\pi\)
−0.856896 + 0.515490i \(0.827610\pi\)
\(504\) −8646.49 + 2135.67i −0.764177 + 0.188751i
\(505\) −3568.71 + 15823.4i −0.314467 + 1.39432i
\(506\) 1702.65 + 983.026i 0.149589 + 0.0863653i
\(507\) −8010.26 1134.73i −0.701673 0.0993989i
\(508\) −41892.3 11225.0i −3.65880 0.980373i
\(509\) −1119.01 1938.18i −0.0974443 0.168779i 0.813182 0.582010i \(-0.197733\pi\)
−0.910626 + 0.413231i \(0.864400\pi\)
\(510\) 2594.60 + 15970.8i 0.225276 + 1.38666i
\(511\) −261.807 + 453.463i −0.0226647 + 0.0392564i
\(512\) −15177.5 + 15177.5i −1.31007 + 1.31007i
\(513\) −7658.78 3440.16i −0.659149 0.296075i
\(514\) 17042.8i 1.46250i
\(515\) −145.829 3645.93i −0.0124777 0.311959i
\(516\) −33089.2 14088.4i −2.82300 1.20195i
\(517\) 580.193 2165.31i 0.0493557 0.184198i
\(518\) −2037.74 + 7604.96i −0.172844 + 0.645063i
\(519\) 3081.03 2316.43i 0.260583 0.195915i
\(520\) 14485.2 15692.3i 1.22158 1.32337i
\(521\) 11295.2i 0.949810i 0.880037 + 0.474905i \(0.157518\pi\)
−0.880037 + 0.474905i \(0.842482\pi\)
\(522\) 5708.38 3147.85i 0.478638 0.263942i
\(523\) 7883.52 7883.52i 0.659125 0.659125i −0.296048 0.955173i \(-0.595669\pi\)
0.955173 + 0.296048i \(0.0956690\pi\)
\(524\) 16838.3 29164.8i 1.40379 2.43144i
\(525\) 899.570 2691.36i 0.0747818 0.223734i
\(526\) 12824.0 + 22211.7i 1.06302 + 1.84121i
\(527\) 6696.39 + 1794.29i 0.553509 + 0.148312i
\(528\) −5202.55 + 6643.92i −0.428811 + 0.547613i
\(529\) 8131.72 + 4694.85i 0.668342 + 0.385867i
\(530\) −3632.01 819.142i −0.297668 0.0671344i
\(531\) −12913.1 3733.46i −1.05533 0.305119i
\(532\) −4034.97 4034.97i −0.328831 0.328831i
\(533\) 9471.91 2537.99i 0.769745 0.206252i
\(534\) 4916.77 + 6539.69i 0.398445 + 0.529963i
\(535\) 17273.3 + 9072.36i 1.39587 + 0.733144i
\(536\) −12063.9 + 6965.12i −0.972169 + 0.561282i
\(537\) 12183.1 4906.74i 0.979029 0.394304i
\(538\) −5805.17 21665.2i −0.465202 1.73616i
\(539\) 2212.69 0.176822
\(540\) 31488.7 13432.3i 2.50936 1.07043i
\(541\) −9200.65 −0.731177 −0.365588 0.930777i \(-0.619132\pi\)
−0.365588 + 0.930777i \(0.619132\pi\)
\(542\) 506.367 + 1889.79i 0.0401298 + 0.149766i
\(543\) −10718.6 + 4316.93i −0.847109 + 0.341173i
\(544\) −30664.4 + 17704.1i −2.41678 + 1.39533i
\(545\) 6161.63 1918.01i 0.484285 0.150750i
\(546\) 1884.87 + 2507.02i 0.147738 + 0.196503i
\(547\) −17231.7 + 4617.23i −1.34694 + 0.360911i −0.859004 0.511969i \(-0.828916\pi\)
−0.487934 + 0.872880i \(0.662249\pi\)
\(548\) −1908.09 1908.09i −0.148740 0.148740i
\(549\) −470.091 1903.21i −0.0365446 0.147955i
\(550\) −1562.85 4393.62i −0.121164 0.340626i
\(551\) 2291.22 + 1322.83i 0.177149 + 0.102277i
\(552\) 12746.9 16278.4i 0.982867 1.25517i
\(553\) 907.038 + 243.040i 0.0697490 + 0.0186892i
\(554\) 4575.16 + 7924.41i 0.350866 + 0.607719i
\(555\) 1928.06 19072.8i 0.147462 1.45873i
\(556\) −3885.48 + 6729.85i −0.296369 + 0.513326i
\(557\) 9243.69 9243.69i 0.703174 0.703174i −0.261917 0.965091i \(-0.584355\pi\)
0.965091 + 0.261917i \(0.0843545\pi\)
\(558\) 393.804 20040.7i 0.0298764 1.52041i
\(559\) 8022.80i 0.607027i
\(560\) 11603.1 464.100i 0.875575 0.0350211i
\(561\) −1446.89 + 1087.82i −0.108891 + 0.0818681i
\(562\) 5433.68 20278.8i 0.407840 1.52208i
\(563\) 3955.94 14763.8i 0.296133 1.10518i −0.644180 0.764874i \(-0.722801\pi\)
0.940313 0.340310i \(-0.110532\pi\)
\(564\) −34240.9 14578.8i −2.55639 1.08843i
\(565\) −21202.6 + 848.056i −1.57876 + 0.0631469i
\(566\) 6196.99i 0.460210i
\(567\) 702.834 + 3106.45i 0.0520569 + 0.230085i
\(568\) −30102.1 + 30102.1i −2.22369 + 2.22369i
\(569\) −7749.24 + 13422.1i −0.570941 + 0.988898i 0.425529 + 0.904945i \(0.360088\pi\)
−0.996470 + 0.0839534i \(0.973245\pi\)
\(570\) 15404.8 + 11099.0i 1.13199 + 0.815591i
\(571\) 986.984 + 1709.51i 0.0723362 + 0.125290i 0.899925 0.436045i \(-0.143621\pi\)
−0.827589 + 0.561335i \(0.810288\pi\)
\(572\) 3643.29 + 976.216i 0.266317 + 0.0713595i
\(573\) −13621.5 1929.63i −0.993103 0.140683i
\(574\) 8009.23 + 4624.13i 0.582402 + 0.336250i
\(575\) 2207.73 + 6206.55i 0.160120 + 0.450141i
\(576\) 35365.6 + 36783.4i 2.55828 + 2.66083i
\(577\) −2600.22 2600.22i −0.187606 0.187606i 0.607055 0.794660i \(-0.292351\pi\)
−0.794660 + 0.607055i \(0.792351\pi\)
\(578\) 12197.1 3268.21i 0.877739 0.235189i
\(579\) 5300.34 644.897i 0.380439 0.0462884i
\(580\) −10300.1 + 3206.24i −0.737392 + 0.229538i
\(581\) 3643.38 2103.51i 0.260160 0.150203i
\(582\) −36744.8 28773.2i −2.61705 2.04929i
\(583\) −107.811 402.356i −0.00765879 0.0285830i
\(584\) 9048.84 0.641171
\(585\) −5508.80 5289.25i −0.389334 0.373818i
\(586\) −2459.17 −0.173357
\(587\) −5436.85 20290.6i −0.382288 1.42672i −0.842398 0.538856i \(-0.818857\pi\)
0.460110 0.887862i \(-0.347810\pi\)
\(588\) 5152.26 36370.6i 0.361353 2.55085i
\(589\) 7045.24 4067.57i 0.492859 0.284552i
\(590\) 26911.9 + 14134.7i 1.87787 + 0.986302i
\(591\) −4994.75 + 11731.1i −0.347642 + 0.816502i
\(592\) 75774.0 20303.6i 5.26063 1.40958i
\(593\) −1706.61 1706.61i −0.118182 0.118182i 0.645542 0.763725i \(-0.276631\pi\)
−0.763725 + 0.645542i \(0.776631\pi\)
\(594\) 4056.67 + 3307.20i 0.280214 + 0.228444i
\(595\) 2430.04 + 548.057i 0.167432 + 0.0377616i
\(596\) −22745.6 13132.2i −1.56325 0.902541i
\(597\) −1483.25 3682.81i −0.101684 0.252474i
\(598\) −7033.11 1884.52i −0.480945 0.128869i
\(599\) 6939.25 + 12019.1i 0.473339 + 0.819847i 0.999534 0.0305164i \(-0.00971517\pi\)
−0.526195 + 0.850364i \(0.676382\pi\)
\(600\) −48052.4 + 9792.19i −3.26955 + 0.666274i
\(601\) 11793.6 20427.2i 0.800454 1.38643i −0.118864 0.992911i \(-0.537925\pi\)
0.919318 0.393516i \(-0.128741\pi\)
\(602\) −5350.29 + 5350.29i −0.362228 + 0.362228i
\(603\) 2405.53 + 4362.24i 0.162456 + 0.294601i
\(604\) 35795.9i 2.41145i
\(605\) −9739.66 + 10551.2i −0.654501 + 0.709040i
\(606\) 4972.63 + 40869.5i 0.333332 + 2.73962i
\(607\) −6898.66 + 25746.1i −0.461298 + 1.72159i 0.207583 + 0.978218i \(0.433440\pi\)
−0.668881 + 0.743370i \(0.733226\pi\)
\(608\) −10754.0 + 40134.3i −0.717320 + 2.67708i
\(609\) −121.218 996.276i −0.00806568 0.0662909i
\(610\) 177.181 + 4429.77i 0.0117604 + 0.294027i
\(611\) 8302.05i 0.549697i
\(612\) 14511.8 + 26316.0i 0.958506 + 1.73818i
\(613\) 2171.14 2171.14i 0.143053 0.143053i −0.631953 0.775006i \(-0.717747\pi\)
0.775006 + 0.631953i \(0.217747\pi\)
\(614\) 4702.80 8145.49i 0.309103 0.535383i
\(615\) −21054.2 7986.14i −1.38047 0.523630i
\(616\) 1126.67 + 1951.45i 0.0736931 + 0.127640i
\(617\) 934.234 + 250.327i 0.0609576 + 0.0163335i 0.289169 0.957278i \(-0.406621\pi\)
−0.228211 + 0.973612i \(0.573288\pi\)
\(618\) −3459.93 8590.76i −0.225209 0.559176i
\(619\) 5225.86 + 3017.15i 0.339330 + 0.195912i 0.659976 0.751287i \(-0.270567\pi\)
−0.320646 + 0.947199i \(0.603900\pi\)
\(620\) −7297.80 + 32357.8i −0.472721 + 2.09600i
\(621\) −5730.58 4671.84i −0.370306 0.301892i
\(622\) 20782.0 + 20782.0i 1.33968 + 1.33968i
\(623\) 1216.74 326.025i 0.0782466 0.0209661i
\(624\) 12242.6 28753.9i 0.785409 1.84468i
\(625\) 5558.25 14603.0i 0.355728 0.934590i
\(626\) 22822.3 13176.4i 1.45713 0.841272i
\(627\) −297.941 + 2103.21i −0.0189770 + 0.133962i
\(628\) 19797.6 + 73885.6i 1.25798 + 4.69484i
\(629\) 16828.3 1.06675
\(630\) −146.409 7201.06i −0.00925885 0.455392i
\(631\) −15462.3 −0.975505 −0.487753 0.872982i \(-0.662183\pi\)
−0.487753 + 0.872982i \(0.662183\pi\)
\(632\) −4200.10 15675.0i −0.264353 0.986579i
\(633\) 12515.5 + 9800.31i 0.785856 + 0.615367i
\(634\) −18224.4 + 10521.8i −1.14161 + 0.659110i
\(635\) 10330.8 19669.3i 0.645612 1.22921i
\(636\) −6864.69 + 835.234i −0.427992 + 0.0520742i
\(637\) −7915.39 + 2120.92i −0.492338 + 0.131922i
\(638\) −1166.22 1166.22i −0.0723685 0.0723685i
\(639\) 10551.1 + 10974.1i 0.653201 + 0.679387i
\(640\) −28469.8 45051.3i −1.75839 2.78251i
\(641\) 1917.34 + 1106.98i 0.118144 + 0.0682105i 0.557908 0.829903i \(-0.311604\pi\)
−0.439763 + 0.898114i \(0.644938\pi\)
\(642\) 49032.1 + 6945.88i 3.01424 + 0.426997i
\(643\) −5494.59 1472.27i −0.336991 0.0902965i 0.0863552 0.996264i \(-0.472478\pi\)
−0.423346 + 0.905968i \(0.639145\pi\)
\(644\) −2512.55 4351.86i −0.153740 0.266285i
\(645\) 10769.5 14947.5i 0.657440 0.912490i
\(646\) −8333.71 + 14434.4i −0.507563 + 0.879125i
\(647\) −8395.00 + 8395.00i −0.510110 + 0.510110i −0.914560 0.404450i \(-0.867463\pi\)
0.404450 + 0.914560i \(0.367463\pi\)
\(648\) 40418.8 37360.8i 2.45031 2.26493i
\(649\) 3400.88i 0.205695i
\(650\) 9802.16 + 14219.1i 0.591496 + 0.858032i
\(651\) −2839.38 1208.93i −0.170944 0.0727827i
\(652\) −9638.56 + 35971.6i −0.578950 + 2.16067i
\(653\) 1089.10 4064.57i 0.0652676 0.243582i −0.925583 0.378544i \(-0.876425\pi\)
0.990851 + 0.134962i \(0.0430914\pi\)
\(654\) 13091.9 9842.97i 0.782775 0.588518i
\(655\) 12676.5 + 11701.4i 0.756200 + 0.698033i
\(656\) 92147.4i 5.48438i
\(657\) 63.5743 3235.30i 0.00377514 0.192117i
\(658\) −5536.52 + 5536.52i −0.328018 + 0.328018i
\(659\) −15566.0 + 26961.1i −0.920129 + 1.59371i −0.120915 + 0.992663i \(0.538583\pi\)
−0.799214 + 0.601047i \(0.794751\pi\)
\(660\) −5477.46 6709.42i −0.323045 0.395703i
\(661\) 7194.58 + 12461.4i 0.423354 + 0.733270i 0.996265 0.0863471i \(-0.0275194\pi\)
−0.572911 + 0.819617i \(0.694186\pi\)
\(662\) −25157.8 6741.02i −1.47702 0.395766i
\(663\) 4133.23 5278.34i 0.242113 0.309191i
\(664\) −62963.2 36351.8i −3.67989 2.12459i
\(665\) 2471.11 1561.59i 0.144098 0.0910617i
\(666\) −11667.4 47236.8i −0.678834 2.74833i
\(667\) 1647.44 + 1647.44i 0.0956357 + 0.0956357i
\(668\) −7194.81 + 1927.84i −0.416730 + 0.111662i
\(669\) 13565.4 + 18043.0i 0.783957 + 1.04272i
\(670\) −3348.25 10756.3i −0.193066 0.620227i
\(671\) −429.542 + 247.996i −0.0247128 + 0.0142679i
\(672\) 14620.6 5888.46i 0.839290 0.338024i
\(673\) −4887.41 18240.0i −0.279934 1.04473i −0.952462 0.304657i \(-0.901458\pi\)
0.672528 0.740072i \(-0.265208\pi\)
\(674\) −55088.6 −3.14827
\(675\) 3163.47 + 17249.3i 0.180388 + 0.983595i
\(676\) 33980.9 1.93337
\(677\) −5586.18 20847.9i −0.317126 1.18353i −0.921994 0.387205i \(-0.873441\pi\)
0.604867 0.796326i \(-0.293226\pi\)
\(678\) −49958.8 + 20120.9i −2.82987 + 1.13973i
\(679\) −6222.59 + 3592.62i −0.351695 + 0.203051i
\(680\) −12795.0 41104.1i −0.721569 2.31805i
\(681\) 8378.33 + 11143.8i 0.471451 + 0.627067i
\(682\) −4898.57 + 1312.57i −0.275038 + 0.0736962i
\(683\) 13485.0 + 13485.0i 0.755474 + 0.755474i 0.975495 0.220021i \(-0.0706126\pi\)
−0.220021 + 0.975495i \(0.570613\pi\)
\(684\) 33877.4 + 9794.69i 1.89376 + 0.547528i
\(685\) 1168.56 738.459i 0.0651799 0.0411899i
\(686\) −13780.6 7956.21i −0.766974 0.442813i
\(687\) −15450.9 + 19731.6i −0.858061 + 1.09579i
\(688\) 72821.4 + 19512.4i 4.03531 + 1.08126i
\(689\) 771.339 + 1336.00i 0.0426498 + 0.0738716i
\(690\) 10573.8 + 12952.1i 0.583391 + 0.714604i
\(691\) 9014.75 15614.0i 0.496291 0.859602i −0.503700 0.863879i \(-0.668028\pi\)
0.999991 + 0.00427721i \(0.00136148\pi\)
\(692\) −11448.5 + 11448.5i −0.628911 + 0.628911i
\(693\) 705.633 389.117i 0.0386794 0.0213295i
\(694\) 54861.9i 3.00076i
\(695\) −2925.12 2700.13i −0.159649 0.147369i
\(696\) −13863.1 + 10422.8i −0.754999 + 0.567635i
\(697\) 5116.15 19093.7i 0.278032 1.03763i
\(698\) −9703.95 + 36215.6i −0.526218 + 1.96387i
\(699\) −6792.67 2892.12i −0.367557 0.156495i
\(700\) −2155.52 + 11722.6i −0.116387 + 0.632958i
\(701\) 5187.88i 0.279520i −0.990185 0.139760i \(-0.955367\pi\)
0.990185 0.139760i \(-0.0446331\pi\)
\(702\) −17681.9 7942.33i −0.950655 0.427014i
\(703\) 13963.5 13963.5i 0.749135 0.749135i
\(704\) 6455.02 11180.4i 0.345572 0.598548i
\(705\) 11144.4 15467.7i 0.595349 0.826310i
\(706\) −24439.5 42330.5i −1.30282 2.25656i
\(707\) 6122.63 + 1640.55i 0.325694 + 0.0872693i
\(708\) 55901.4 + 7918.99i 2.96738 + 0.420358i
\(709\) 3337.90 + 1927.14i 0.176809 + 0.102081i 0.585793 0.810461i \(-0.300783\pi\)
−0.408984 + 0.912542i \(0.634117\pi\)
\(710\) −18391.3 29102.8i −0.972130 1.53832i
\(711\) −5633.90 + 1391.57i −0.297170 + 0.0734005i
\(712\) −15392.9 15392.9i −0.810217 0.810217i
\(713\) 6919.86 1854.17i 0.363465 0.0973903i
\(714\) 6276.44 763.660i 0.328977 0.0400270i
\(715\) −898.445 + 1710.60i −0.0469929 + 0.0894722i
\(716\) −47775.3 + 27583.1i −2.49364 + 1.43970i
\(717\) 27085.2 + 21209.2i 1.41076 + 1.10470i
\(718\) 3660.11 + 13659.7i 0.190242 + 0.709994i
\(719\) 9734.47 0.504916 0.252458 0.967608i \(-0.418761\pi\)
0.252458 + 0.967608i \(0.418761\pi\)
\(720\) −61407.6 + 37138.2i −3.17851 + 1.92230i
\(721\) −1425.86 −0.0736503
\(722\) −4632.88 17290.1i −0.238806 0.891235i
\(723\) −1787.21 + 12616.2i −0.0919323 + 0.648965i
\(724\) 42032.5 24267.5i 2.15763 1.24571i
\(725\) −441.361 5508.49i −0.0226093 0.282180i
\(726\) −14277.4 + 33533.2i −0.729870 + 1.71423i
\(727\) −11626.5 + 3115.30i −0.593125 + 0.158927i −0.542881 0.839810i \(-0.682666\pi\)
−0.0502438 + 0.998737i \(0.516000\pi\)
\(728\) −5900.95 5900.95i −0.300417 0.300417i
\(729\) −13073.9 14713.7i −0.664224 0.747534i
\(730\) −1609.98 + 7138.49i −0.0816272 + 0.361928i
\(731\) 14005.9 + 8086.29i 0.708654 + 0.409141i
\(732\) 3076.20 + 7637.99i 0.155327 + 0.385667i
\(733\) 25193.6 + 6750.61i 1.26951 + 0.340163i 0.829842 0.557999i \(-0.188431\pi\)
0.439664 + 0.898162i \(0.355097\pi\)
\(734\) −21612.8 37434.4i −1.08684 1.88246i
\(735\) 17594.4 + 6673.78i 0.882965 + 0.334920i
\(736\) −18294.9 + 31687.8i −0.916250 + 1.58699i
\(737\) 891.204 891.204i 0.0445426 0.0445426i
\(738\) −57143.0 1122.87i −2.85022 0.0560074i
\(739\) 24108.3i 1.20005i −0.799981 0.600025i \(-0.795157\pi\)
0.799981 0.600025i \(-0.204843\pi\)
\(740\) 3217.99 + 80454.3i 0.159859 + 3.99670i
\(741\) −950.172 7809.35i −0.0471058 0.387158i
\(742\) −376.563 + 1405.35i −0.0186308 + 0.0695312i
\(743\) −430.808 + 1607.80i −0.0212716 + 0.0793867i −0.975746 0.218907i \(-0.929751\pi\)
0.954474 + 0.298294i \(0.0964175\pi\)
\(744\) 6441.38 + 52940.9i 0.317409 + 2.60875i
\(745\) 9125.90 9886.35i 0.448788 0.486185i
\(746\) 33025.8i 1.62086i
\(747\) −13439.5 + 22256.3i −0.658267 + 1.09011i
\(748\) 5376.36 5376.36i 0.262806 0.262806i
\(749\) 3812.14 6602.82i 0.185971 0.322112i
\(750\) 824.607 39650.1i 0.0401472 1.93042i
\(751\) −11016.0 19080.3i −0.535259 0.927096i −0.999151 0.0412042i \(-0.986881\pi\)
0.463892 0.885892i \(-0.346453\pi\)
\(752\) 75356.1 + 20191.6i 3.65420 + 0.979139i
\(753\) −12740.5 31633.7i −0.616585 1.53094i
\(754\) 5289.75 + 3054.04i 0.255492 + 0.147509i
\(755\) 17887.9 + 4034.33i 0.862261 + 0.194469i
\(756\) −4752.97 12504.8i −0.228656 0.601580i
\(757\) −25360.2 25360.2i −1.21761 1.21761i −0.968466 0.249145i \(-0.919851\pi\)
−0.249145 0.968466i \(-0.580149\pi\)
\(758\) −71224.0 + 19084.4i −3.41289 + 0.914481i
\(759\) −732.799 + 1721.11i −0.0350447 + 0.0823089i
\(760\) −44723.4 23489.8i −2.13459 1.12114i
\(761\) −14614.3 + 8437.57i −0.696147 + 0.401921i −0.805911 0.592037i \(-0.798324\pi\)
0.109763 + 0.993958i \(0.464991\pi\)
\(762\) 7909.33 55833.2i 0.376017 2.65436i
\(763\) −652.674 2435.81i −0.0309678 0.115573i
\(764\) 57784.9 2.73637
\(765\) −14786.2 + 4285.91i −0.698816 + 0.202559i
\(766\) 52745.9 2.48797
\(767\) −3259.84 12165.9i −0.153463 0.572732i
\(768\) −44645.7 34960.0i −2.09767 1.64259i
\(769\) 4117.86 2377.45i 0.193100 0.111486i −0.400333 0.916370i \(-0.631106\pi\)
0.593433 + 0.804883i \(0.297772\pi\)
\(770\) −1739.93 +