Properties

Label 225.4.u.a.4.12
Level $225$
Weight $4$
Character 225.4
Analytic conductor $13.275$
Analytic rank $0$
Dimension $704$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 225.u (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(13.2754297513\)
Analytic rank: \(0\)
Dimension: \(704\)
Relative dimension: \(88\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 4.12
Character \(\chi\) \(=\) 225.4
Dual form 225.4.u.a.169.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.922831 - 4.34158i) q^{2} +(4.70291 - 2.20967i) q^{3} +(-10.6893 + 4.75919i) q^{4} +(1.62060 + 11.0623i) q^{5} +(-13.9335 - 18.3789i) q^{6} +(8.42574 - 4.86461i) q^{7} +(9.65541 + 13.2895i) q^{8} +(17.2347 - 20.7838i) q^{9} +O(q^{10})\) \(q+(-0.922831 - 4.34158i) q^{2} +(4.70291 - 2.20967i) q^{3} +(-10.6893 + 4.75919i) q^{4} +(1.62060 + 11.0623i) q^{5} +(-13.9335 - 18.3789i) q^{6} +(8.42574 - 4.86461i) q^{7} +(9.65541 + 13.2895i) q^{8} +(17.2347 - 20.7838i) q^{9} +(46.5321 - 17.2446i) q^{10} +(36.6712 - 7.79470i) q^{11} +(-39.7546 + 46.0019i) q^{12} +(4.83473 - 22.7456i) q^{13} +(-28.8956 - 32.0918i) q^{14} +(32.0655 + 48.4438i) q^{15} +(-13.8483 + 15.3801i) q^{16} +(-74.2628 - 102.214i) q^{17} +(-106.139 - 55.6458i) q^{18} +(6.89709 - 5.01103i) q^{19} +(-69.9705 - 110.535i) q^{20} +(28.8763 - 41.4959i) q^{21} +(-67.6826 - 152.018i) q^{22} +(129.216 - 116.346i) q^{23} +(74.7741 + 41.1642i) q^{24} +(-119.747 + 35.8550i) q^{25} -103.214 q^{26} +(35.1278 - 135.827i) q^{27} +(-66.9139 + 92.0990i) q^{28} +(-20.1627 + 191.835i) q^{29} +(180.731 - 183.920i) q^{30} +(-23.2683 - 221.383i) q^{31} +(193.361 + 111.637i) q^{32} +(155.237 - 117.689i) q^{33} +(-375.238 + 416.744i) q^{34} +(67.4683 + 85.3242i) q^{35} +(-85.3130 + 304.188i) q^{36} +(-165.146 + 53.6593i) q^{37} +(-28.1206 - 25.3199i) q^{38} +(-27.5231 - 117.654i) q^{39} +(-131.365 + 128.348i) q^{40} +(315.398 + 67.0400i) q^{41} +(-206.806 - 87.0750i) q^{42} +(260.770 - 150.555i) q^{43} +(-354.893 + 257.845i) q^{44} +(257.846 + 156.972i) q^{45} +(-624.370 - 453.631i) q^{46} +(169.359 + 17.8003i) q^{47} +(-31.1422 + 102.931i) q^{48} +(-124.171 + 215.071i) q^{49} +(266.174 + 486.804i) q^{50} +(-575.111 - 316.607i) q^{51} +(56.5708 + 266.145i) q^{52} +(-134.382 + 184.961i) q^{53} +(-622.122 - 27.1643i) q^{54} +(145.656 + 393.034i) q^{55} +(146.002 + 65.0045i) q^{56} +(21.3636 - 38.8067i) q^{57} +(851.474 - 89.4935i) q^{58} +(135.143 + 28.7255i) q^{59} +(-573.312 - 365.225i) q^{60} +(-791.237 + 168.183i) q^{61} +(-939.678 + 305.320i) q^{62} +(44.1101 - 258.959i) q^{63} +(255.079 - 785.052i) q^{64} +(259.453 + 16.6215i) q^{65} +(-654.214 - 565.368i) q^{66} +(-397.576 + 41.7869i) q^{67} +(1280.28 + 739.167i) q^{68} +(350.602 - 832.689i) q^{69} +(308.180 - 371.659i) q^{70} +(719.309 + 522.609i) q^{71} +(442.615 + 28.3650i) q^{72} +(229.443 + 74.5504i) q^{73} +(385.368 + 667.477i) q^{74} +(-483.933 + 433.225i) q^{75} +(-49.8768 + 86.3891i) q^{76} +(271.064 - 244.067i) q^{77} +(-485.404 + 228.068i) q^{78} +(13.4488 - 127.956i) q^{79} +(-192.581 - 128.268i) q^{80} +(-134.931 - 716.404i) q^{81} -1431.19i q^{82} +(289.835 - 650.980i) q^{83} +(-111.181 + 580.991i) q^{84} +(1010.37 - 987.163i) q^{85} +(-894.294 - 993.215i) q^{86} +(329.070 + 946.736i) q^{87} +(457.663 + 412.082i) q^{88} +(-98.0578 + 301.791i) q^{89} +(443.559 - 1264.32i) q^{90} +(-69.9123 - 215.168i) q^{91} +(-827.512 + 1858.62i) q^{92} +(-598.612 - 989.728i) q^{93} +(-79.0079 - 751.710i) q^{94} +(66.6108 + 68.1766i) q^{95} +(1156.04 + 97.7541i) q^{96} +(-733.099 - 77.0518i) q^{97} +(1048.34 + 340.625i) q^{98} +(470.013 - 896.505i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 704 q - 5 q^{2} - 10 q^{3} - 347 q^{4} + 12 q^{5} + 10 q^{6} - 20 q^{8} - 38 q^{9} + O(q^{10}) \) \( 704 q - 5 q^{2} - 10 q^{3} - 347 q^{4} + 12 q^{5} + 10 q^{6} - 20 q^{8} - 38 q^{9} - 91 q^{11} + 150 q^{12} - 5 q^{13} + 61 q^{14} - 363 q^{15} + 1293 q^{16} - 20 q^{17} - 12 q^{19} + q^{20} - 135 q^{21} - 5 q^{22} - 5 q^{23} - 250 q^{24} + 284 q^{25} - 2496 q^{26} - 340 q^{27} - 660 q^{28} + 345 q^{29} + 56 q^{30} + 33 q^{31} + 790 q^{33} - 19 q^{34} - 736 q^{35} - 852 q^{36} - 20 q^{37} - 3015 q^{38} + 500 q^{39} - 49 q^{40} - 659 q^{41} - 1790 q^{42} - 1996 q^{44} - 1083 q^{45} + 20 q^{46} - 955 q^{47} - 6225 q^{48} + 14888 q^{49} - 563 q^{50} + 204 q^{51} - 45 q^{52} - 20 q^{53} - 17 q^{54} - 50 q^{55} - 590 q^{56} - 5 q^{58} + 915 q^{59} - 2153 q^{60} - 3 q^{61} + 4900 q^{62} + 2385 q^{63} + 9156 q^{64} + 456 q^{65} - 3514 q^{66} + 1525 q^{67} - 476 q^{69} + 1254 q^{70} + 2432 q^{71} - 5090 q^{72} - 20 q^{73} - 3830 q^{74} - 4343 q^{75} + 152 q^{76} - 715 q^{77} - 1330 q^{78} - 255 q^{79} + 4778 q^{80} + 786 q^{81} - 145 q^{83} - 5595 q^{84} + 699 q^{85} - 4551 q^{86} - 6260 q^{87} - 5 q^{88} + 116 q^{89} + 3097 q^{90} - 2070 q^{91} + 12395 q^{92} - 2455 q^{94} + 1687 q^{95} - 5225 q^{96} - 5 q^{97} - 3370 q^{98} - 30 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{10}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.922831 4.34158i −0.326270 1.53498i −0.769544 0.638594i \(-0.779517\pi\)
0.443274 0.896386i \(-0.353817\pi\)
\(3\) 4.70291 2.20967i 0.905075 0.425252i
\(4\) −10.6893 + 4.75919i −1.33616 + 0.594899i
\(5\) 1.62060 + 11.0623i 0.144951 + 0.989439i
\(6\) −13.9335 18.3789i −0.948052 1.25052i
\(7\) 8.42574 4.86461i 0.454947 0.262664i −0.254970 0.966949i \(-0.582066\pi\)
0.709917 + 0.704285i \(0.248732\pi\)
\(8\) 9.65541 + 13.2895i 0.426713 + 0.587320i
\(9\) 17.2347 20.7838i 0.638322 0.769770i
\(10\) 46.5321 17.2446i 1.47148 0.545321i
\(11\) 36.6712 7.79470i 1.00516 0.213654i 0.324212 0.945984i \(-0.394901\pi\)
0.680949 + 0.732331i \(0.261567\pi\)
\(12\) −39.7546 + 46.0019i −0.956347 + 1.10663i
\(13\) 4.83473 22.7456i 0.103147 0.485269i −0.896003 0.444048i \(-0.853542\pi\)
0.999150 0.0412211i \(-0.0131248\pi\)
\(14\) −28.8956 32.0918i −0.551620 0.612636i
\(15\) 32.0655 + 48.4438i 0.551952 + 0.833876i
\(16\) −13.8483 + 15.3801i −0.216379 + 0.240314i
\(17\) −74.2628 102.214i −1.05949 1.45827i −0.880278 0.474457i \(-0.842644\pi\)
−0.179215 0.983810i \(-0.557356\pi\)
\(18\) −106.139 55.6458i −1.38985 0.728658i
\(19\) 6.89709 5.01103i 0.0832790 0.0605058i −0.545367 0.838198i \(-0.683610\pi\)
0.628646 + 0.777692i \(0.283610\pi\)
\(20\) −69.9705 110.535i −0.782294 1.23582i
\(21\) 28.8763 41.4959i 0.300063 0.431198i
\(22\) −67.6826 152.018i −0.655908 1.47319i
\(23\) 129.216 116.346i 1.17145 1.05478i 0.173902 0.984763i \(-0.444363\pi\)
0.997546 0.0700132i \(-0.0223041\pi\)
\(24\) 74.7741 + 41.1642i 0.635966 + 0.350108i
\(25\) −119.747 + 35.8550i −0.957978 + 0.286840i
\(26\) −103.214 −0.778532
\(27\) 35.1278 135.827i 0.250383 0.968147i
\(28\) −66.9139 + 92.0990i −0.451626 + 0.621610i
\(29\) −20.1627 + 191.835i −0.129107 + 1.22838i 0.717653 + 0.696401i \(0.245216\pi\)
−0.846760 + 0.531974i \(0.821450\pi\)
\(30\) 180.731 183.920i 1.09990 1.11930i
\(31\) −23.2683 221.383i −0.134810 1.28263i −0.827529 0.561423i \(-0.810254\pi\)
0.692719 0.721207i \(-0.256412\pi\)
\(32\) 193.361 + 111.637i 1.06818 + 0.616714i
\(33\) 155.237 117.689i 0.818890 0.620820i
\(34\) −375.238 + 416.744i −1.89273 + 2.10209i
\(35\) 67.4683 + 85.3242i 0.325835 + 0.412069i
\(36\) −85.3130 + 304.188i −0.394968 + 1.40828i
\(37\) −165.146 + 53.6593i −0.733781 + 0.238420i −0.651988 0.758229i \(-0.726065\pi\)
−0.0817932 + 0.996649i \(0.526065\pi\)
\(38\) −28.1206 25.3199i −0.120047 0.108090i
\(39\) −27.5231 117.654i −0.113006 0.483069i
\(40\) −131.365 + 128.348i −0.519265 + 0.507339i
\(41\) 315.398 + 67.0400i 1.20139 + 0.255363i 0.764782 0.644289i \(-0.222847\pi\)
0.436607 + 0.899652i \(0.356180\pi\)
\(42\) −206.806 87.0750i −0.759782 0.319904i
\(43\) 260.770 150.555i 0.924814 0.533942i 0.0396463 0.999214i \(-0.487377\pi\)
0.885168 + 0.465272i \(0.154044\pi\)
\(44\) −354.893 + 257.845i −1.21596 + 0.883446i
\(45\) 257.846 + 156.972i 0.854165 + 0.520001i
\(46\) −624.370 453.631i −2.00127 1.45401i
\(47\) 169.359 + 17.8003i 0.525606 + 0.0552434i 0.363616 0.931549i \(-0.381542\pi\)
0.161990 + 0.986792i \(0.448209\pi\)
\(48\) −31.1422 + 102.931i −0.0936457 + 0.309517i
\(49\) −124.171 + 215.071i −0.362015 + 0.627029i
\(50\) 266.174 + 486.804i 0.752854 + 1.37689i
\(51\) −575.111 316.607i −1.57905 0.869290i
\(52\) 56.5708 + 266.145i 0.150865 + 0.709762i
\(53\) −134.382 + 184.961i −0.348279 + 0.479365i −0.946837 0.321715i \(-0.895741\pi\)
0.598557 + 0.801080i \(0.295741\pi\)
\(54\) −622.122 27.1643i −1.56778 0.0684555i
\(55\) 145.656 + 393.034i 0.357097 + 0.963577i
\(56\) 146.002 + 65.0045i 0.348400 + 0.155118i
\(57\) 21.3636 38.8067i 0.0496436 0.0901768i
\(58\) 851.474 89.4935i 1.92765 0.202605i
\(59\) 135.143 + 28.7255i 0.298205 + 0.0633854i 0.354584 0.935024i \(-0.384622\pi\)
−0.0563796 + 0.998409i \(0.517956\pi\)
\(60\) −573.312 365.225i −1.23357 0.785839i
\(61\) −791.237 + 168.183i −1.66078 + 0.353010i −0.940269 0.340434i \(-0.889426\pi\)
−0.720511 + 0.693443i \(0.756093\pi\)
\(62\) −939.678 + 305.320i −1.92483 + 0.625414i
\(63\) 44.1101 258.959i 0.0882120 0.517869i
\(64\) 255.079 785.052i 0.498201 1.53330i
\(65\) 259.453 + 16.6215i 0.495096 + 0.0317175i
\(66\) −654.214 565.368i −1.22012 1.05442i
\(67\) −397.576 + 41.7869i −0.724949 + 0.0761952i −0.459813 0.888016i \(-0.652084\pi\)
−0.265136 + 0.964211i \(0.585417\pi\)
\(68\) 1280.28 + 739.167i 2.28318 + 1.31819i
\(69\) 350.602 832.689i 0.611702 1.45281i
\(70\) 308.180 371.659i 0.526208 0.634596i
\(71\) 719.309 + 522.609i 1.20234 + 0.873553i 0.994513 0.104612i \(-0.0333602\pi\)
0.207829 + 0.978165i \(0.433360\pi\)
\(72\) 442.615 + 28.3650i 0.724481 + 0.0464284i
\(73\) 229.443 + 74.5504i 0.367866 + 0.119527i 0.487116 0.873337i \(-0.338049\pi\)
−0.119250 + 0.992864i \(0.538049\pi\)
\(74\) 385.368 + 667.477i 0.605380 + 1.04855i
\(75\) −483.933 + 433.225i −0.745063 + 0.666994i
\(76\) −49.8768 + 86.3891i −0.0752797 + 0.130388i
\(77\) 271.064 244.067i 0.401177 0.361221i
\(78\) −485.404 + 228.068i −0.704630 + 0.331072i
\(79\) 13.4488 127.956i 0.0191532 0.182231i −0.980763 0.195204i \(-0.937463\pi\)
0.999916 + 0.0129736i \(0.00412973\pi\)
\(80\) −192.581 128.268i −0.269140 0.179260i
\(81\) −134.931 716.404i −0.185091 0.982721i
\(82\) 1431.19i 1.92742i
\(83\) 289.835 650.980i 0.383296 0.860896i −0.614131 0.789204i \(-0.710493\pi\)
0.997427 0.0716922i \(-0.0228399\pi\)
\(84\) −111.181 + 580.991i −0.144415 + 0.754659i
\(85\) 1010.37 987.163i 1.28929 1.25968i
\(86\) −894.294 993.215i −1.12133 1.24536i
\(87\) 329.070 + 946.736i 0.405517 + 1.16667i
\(88\) 457.663 + 412.082i 0.554399 + 0.499183i
\(89\) −98.0578 + 301.791i −0.116788 + 0.359436i −0.992316 0.123732i \(-0.960514\pi\)
0.875528 + 0.483167i \(0.160514\pi\)
\(90\) 443.559 1264.32i 0.519503 1.48079i
\(91\) −69.9123 215.168i −0.0805363 0.247865i
\(92\) −827.512 + 1858.62i −0.937762 + 2.10625i
\(93\) −598.612 989.728i −0.667454 1.10355i
\(94\) −79.0079 751.710i −0.0866920 0.824819i
\(95\) 66.6108 + 68.1766i 0.0719381 + 0.0736291i
\(96\) 1156.04 + 97.7541i 1.22904 + 0.103927i
\(97\) −733.099 77.0518i −0.767370 0.0806539i −0.287249 0.957856i \(-0.592741\pi\)
−0.480121 + 0.877202i \(0.659407\pi\)
\(98\) 1048.34 + 340.625i 1.08059 + 0.351105i
\(99\) 470.013 896.505i 0.477152 0.910123i
\(100\) 1109.38 953.166i 1.10938 0.953166i
\(101\) 751.878 + 1302.29i 0.740739 + 1.28300i 0.952159 + 0.305602i \(0.0988577\pi\)
−0.211420 + 0.977395i \(0.567809\pi\)
\(102\) −843.842 + 2789.06i −0.819145 + 2.70744i
\(103\) 824.494 + 1851.84i 0.788736 + 1.77153i 0.617942 + 0.786224i \(0.287967\pi\)
0.170794 + 0.985307i \(0.445367\pi\)
\(104\) 348.960 155.367i 0.329023 0.146490i
\(105\) 505.836 + 252.189i 0.470138 + 0.234392i
\(106\) 927.035 + 412.742i 0.849449 + 0.378199i
\(107\) 424.405i 0.383447i 0.981449 + 0.191723i \(0.0614077\pi\)
−0.981449 + 0.191723i \(0.938592\pi\)
\(108\) 270.936 + 1619.08i 0.241397 + 1.44256i
\(109\) −236.051 726.491i −0.207428 0.638396i −0.999605 0.0281054i \(-0.991053\pi\)
0.792177 0.610291i \(-0.208947\pi\)
\(110\) 1571.97 995.083i 1.36256 0.862522i
\(111\) −658.099 + 617.274i −0.562738 + 0.527830i
\(112\) −41.8641 + 196.955i −0.0353195 + 0.166165i
\(113\) 174.632 821.580i 0.145381 0.683962i −0.843728 0.536772i \(-0.819644\pi\)
0.989108 0.147190i \(-0.0470230\pi\)
\(114\) −188.198 56.9399i −0.154617 0.0467799i
\(115\) 1496.46 + 1240.87i 1.21344 + 1.00618i
\(116\) −697.454 2146.54i −0.558250 1.71812i
\(117\) −389.415 492.498i −0.307705 0.389158i
\(118\) 613.241i 0.478419i
\(119\) −1122.95 499.970i −0.865048 0.385144i
\(120\) −334.190 + 893.881i −0.254227 + 0.679998i
\(121\) 68.0895 30.3154i 0.0511566 0.0227764i
\(122\) 1460.36 + 3280.01i 1.08373 + 2.43409i
\(123\) 1631.43 381.644i 1.19594 0.279770i
\(124\) 1302.33 + 2255.69i 0.943163 + 1.63361i
\(125\) −590.701 1266.57i −0.422671 0.906283i
\(126\) −1165.00 + 47.4676i −0.823699 + 0.0335615i
\(127\) 1325.14 + 430.564i 0.925883 + 0.300838i 0.732878 0.680360i \(-0.238177\pi\)
0.193005 + 0.981198i \(0.438177\pi\)
\(128\) −1867.35 196.266i −1.28947 0.135528i
\(129\) 893.697 1284.26i 0.609966 0.876536i
\(130\) −167.268 1141.78i −0.112849 0.770310i
\(131\) −95.2331 906.082i −0.0635157 0.604311i −0.979268 0.202568i \(-0.935071\pi\)
0.915752 0.401743i \(-0.131595\pi\)
\(132\) −1099.28 + 1996.82i −0.724847 + 1.31667i
\(133\) 33.7365 75.7733i 0.0219949 0.0494013i
\(134\) 548.316 + 1687.54i 0.353487 + 1.08792i
\(135\) 1559.48 + 168.471i 0.994215 + 0.107405i
\(136\) 641.339 1973.84i 0.404370 1.24452i
\(137\) −274.548 247.204i −0.171213 0.154161i 0.579069 0.815278i \(-0.303416\pi\)
−0.750283 + 0.661117i \(0.770083\pi\)
\(138\) −3938.73 753.733i −2.42962 0.464942i
\(139\) −91.9700 102.143i −0.0561208 0.0623285i 0.714431 0.699706i \(-0.246686\pi\)
−0.770552 + 0.637378i \(0.780019\pi\)
\(140\) −1127.26 590.963i −0.680509 0.356753i
\(141\) 835.811 290.514i 0.499205 0.173516i
\(142\) 1605.15 3605.22i 0.948597 2.13058i
\(143\) 871.794i 0.509812i
\(144\) 80.9853 + 552.890i 0.0468665 + 0.319960i
\(145\) −2154.81 + 87.8434i −1.23412 + 0.0503103i
\(146\) 111.930 1064.94i 0.0634477 0.603665i
\(147\) −108.729 + 1285.84i −0.0610058 + 0.721456i
\(148\) 1509.93 1359.54i 0.838617 0.755094i
\(149\) 102.446 177.441i 0.0563266 0.0975606i −0.836487 0.547986i \(-0.815395\pi\)
0.892814 + 0.450426i \(0.148728\pi\)
\(150\) 2327.47 + 1701.24i 1.26691 + 0.926036i
\(151\) 218.597 + 378.620i 0.117809 + 0.204051i 0.918899 0.394493i \(-0.129080\pi\)
−0.801090 + 0.598544i \(0.795746\pi\)
\(152\) 133.189 + 43.2756i 0.0710725 + 0.0230929i
\(153\) −3404.29 218.164i −1.79883 0.115278i
\(154\) −1309.78 951.612i −0.685359 0.497942i
\(155\) 2411.29 616.173i 1.24954 0.319305i
\(156\) 854.140 + 1126.65i 0.438371 + 0.578232i
\(157\) −321.242 185.469i −0.163299 0.0942806i 0.416123 0.909308i \(-0.363388\pi\)
−0.579422 + 0.815028i \(0.696722\pi\)
\(158\) −567.943 + 59.6932i −0.285969 + 0.0300566i
\(159\) −223.283 + 1166.80i −0.111368 + 0.581968i
\(160\) −921.599 + 2319.93i −0.455367 + 1.14629i
\(161\) 522.759 1608.89i 0.255895 0.787565i
\(162\) −2985.80 + 1246.93i −1.44807 + 0.604743i
\(163\) −1624.35 + 527.784i −0.780546 + 0.253615i −0.672073 0.740484i \(-0.734596\pi\)
−0.108473 + 0.994099i \(0.534596\pi\)
\(164\) −3690.45 + 784.429i −1.75717 + 0.373498i
\(165\) 1553.49 + 1526.55i 0.732962 + 0.720253i
\(166\) −3093.75 657.597i −1.44652 0.307466i
\(167\) −38.5514 + 4.05192i −0.0178635 + 0.00187753i −0.113456 0.993543i \(-0.536192\pi\)
0.0955925 + 0.995421i \(0.469525\pi\)
\(168\) 830.275 16.9077i 0.381292 0.00776462i
\(169\) 1513.07 + 673.662i 0.688698 + 0.306628i
\(170\) −5218.25 3475.61i −2.35424 1.56804i
\(171\) 14.7210 229.711i 0.00658331 0.102728i
\(172\) −2070.93 + 2850.39i −0.918062 + 1.26360i
\(173\) 655.951 + 3086.01i 0.288272 + 1.35621i 0.849079 + 0.528266i \(0.177158\pi\)
−0.560807 + 0.827946i \(0.689509\pi\)
\(174\) 3806.65 2302.36i 1.65851 1.00311i
\(175\) −834.540 + 884.629i −0.360487 + 0.382124i
\(176\) −387.950 + 671.948i −0.166152 + 0.287784i
\(177\) 699.038 163.528i 0.296853 0.0694436i
\(178\) 1400.74 + 147.224i 0.589831 + 0.0619937i
\(179\) −2107.76 1531.38i −0.880120 0.639445i 0.0531629 0.998586i \(-0.483070\pi\)
−0.933283 + 0.359141i \(0.883070\pi\)
\(180\) −3503.26 450.788i −1.45065 0.186665i
\(181\) −3066.33 + 2227.82i −1.25922 + 0.914875i −0.998719 0.0505988i \(-0.983887\pi\)
−0.260499 + 0.965474i \(0.583887\pi\)
\(182\) −869.651 + 502.093i −0.354191 + 0.204492i
\(183\) −3349.49 + 2539.32i −1.35301 + 1.02575i
\(184\) 2793.82 + 593.844i 1.11936 + 0.237928i
\(185\) −861.230 1739.93i −0.342264 0.691472i
\(186\) −3744.56 + 3512.27i −1.47615 + 1.38458i
\(187\) −3520.03 3169.45i −1.37653 1.23943i
\(188\) −1895.04 + 615.737i −0.735161 + 0.238868i
\(189\) −364.769 1315.33i −0.140386 0.506223i
\(190\) 234.523 352.111i 0.0895480 0.134447i
\(191\) 918.570 1020.18i 0.347987 0.386478i −0.543588 0.839352i \(-0.682935\pi\)
0.891575 + 0.452874i \(0.149601\pi\)
\(192\) −535.096 4255.67i −0.201131 1.59962i
\(193\) 3906.61 + 2255.48i 1.45702 + 0.841209i 0.998863 0.0476651i \(-0.0151780\pi\)
0.458153 + 0.888874i \(0.348511\pi\)
\(194\) 342.000 + 3253.91i 0.126568 + 1.20421i
\(195\) 1256.91 495.138i 0.461587 0.181834i
\(196\) 303.742 2889.91i 0.110693 1.05318i
\(197\) −1192.81 + 1641.77i −0.431393 + 0.593762i −0.968272 0.249897i \(-0.919603\pi\)
0.536879 + 0.843659i \(0.319603\pi\)
\(198\) −4325.99 1213.28i −1.55270 0.435473i
\(199\) −373.239 −0.132956 −0.0664779 0.997788i \(-0.521176\pi\)
−0.0664779 + 0.997788i \(0.521176\pi\)
\(200\) −1632.71 1245.19i −0.577249 0.440241i
\(201\) −1777.43 + 1075.03i −0.623731 + 0.377248i
\(202\) 4960.14 4466.13i 1.72769 1.55562i
\(203\) 763.316 + 1714.44i 0.263913 + 0.592758i
\(204\) 7654.33 + 647.245i 2.62701 + 0.222138i
\(205\) −230.479 + 3597.66i −0.0785236 + 1.22572i
\(206\) 7279.06 5288.54i 2.46192 1.78869i
\(207\) −191.125 4690.78i −0.0641744 1.57503i
\(208\) 282.877 + 389.346i 0.0942979 + 0.129790i
\(209\) 213.865 237.521i 0.0707816 0.0786109i
\(210\) 628.097 2428.85i 0.206394 0.798128i
\(211\) 497.853 + 552.922i 0.162434 + 0.180402i 0.818868 0.573983i \(-0.194602\pi\)
−0.656433 + 0.754384i \(0.727936\pi\)
\(212\) 556.188 2616.66i 0.180185 0.847702i
\(213\) 4537.64 + 868.342i 1.45969 + 0.279332i
\(214\) 1842.59 391.654i 0.588583 0.125107i
\(215\) 2088.09 + 2640.71i 0.662355 + 0.837651i
\(216\) 2144.25 844.637i 0.675454 0.266066i
\(217\) −1272.99 1752.12i −0.398232 0.548120i
\(218\) −2936.28 + 1695.26i −0.912248 + 0.526687i
\(219\) 1243.78 156.389i 0.383775 0.0482549i
\(220\) −3427.49 3508.06i −1.05037 1.07506i
\(221\) −2683.96 + 1194.98i −0.816936 + 0.363723i
\(222\) 3287.26 + 2287.55i 0.993812 + 0.691577i
\(223\) 309.708 + 1457.06i 0.0930027 + 0.437544i 0.999870 + 0.0161270i \(0.00513361\pi\)
−0.906867 + 0.421417i \(0.861533\pi\)
\(224\) 2172.28 0.647955
\(225\) −1318.60 + 3106.75i −0.390697 + 0.920519i
\(226\) −3728.11 −1.09730
\(227\) 921.633 + 4335.94i 0.269476 + 1.26778i 0.879690 + 0.475547i \(0.157750\pi\)
−0.610215 + 0.792236i \(0.708917\pi\)
\(228\) −43.6741 + 516.491i −0.0126859 + 0.150024i
\(229\) 4172.83 1857.86i 1.20414 0.536118i 0.296163 0.955137i \(-0.404293\pi\)
0.907977 + 0.419020i \(0.137626\pi\)
\(230\) 4006.33 7642.10i 1.14856 2.19089i
\(231\) 735.480 1746.79i 0.209485 0.497533i
\(232\) −2744.08 + 1584.29i −0.776541 + 0.448336i
\(233\) 3868.03 + 5323.89i 1.08757 + 1.49691i 0.850907 + 0.525317i \(0.176053\pi\)
0.236662 + 0.971592i \(0.423947\pi\)
\(234\) −1778.85 + 2145.17i −0.496954 + 0.599291i
\(235\) 77.5512 + 1902.34i 0.0215272 + 0.528063i
\(236\) −1581.29 + 336.114i −0.436159 + 0.0927084i
\(237\) −219.494 631.484i −0.0601588 0.173077i
\(238\) −1134.36 + 5336.77i −0.308949 + 1.45349i
\(239\) 3389.43 + 3764.35i 0.917340 + 1.01881i 0.999753 + 0.0222107i \(0.00707046\pi\)
−0.0824137 + 0.996598i \(0.526263\pi\)
\(240\) −1189.12 177.693i −0.319823 0.0477918i
\(241\) −1019.65 + 1132.44i −0.272537 + 0.302683i −0.863840 0.503766i \(-0.831947\pi\)
0.591303 + 0.806450i \(0.298614\pi\)
\(242\) −194.452 267.640i −0.0516522 0.0710931i
\(243\) −2217.59 3071.03i −0.585425 0.810726i
\(244\) 7657.37 5563.41i 2.00907 1.45967i
\(245\) −2580.40 1025.07i −0.672881 0.267303i
\(246\) −3162.47 6730.77i −0.819641 1.74446i
\(247\) −80.6335 181.106i −0.0207716 0.0466538i
\(248\) 2717.41 2446.77i 0.695789 0.626491i
\(249\) −75.3863 3701.94i −0.0191864 0.942173i
\(250\) −4953.79 + 3733.40i −1.25322 + 0.944484i
\(251\) −1238.98 −0.311570 −0.155785 0.987791i \(-0.549791\pi\)
−0.155785 + 0.987791i \(0.549791\pi\)
\(252\) 760.927 + 2978.02i 0.190214 + 0.744435i
\(253\) 3831.60 5273.75i 0.952137 1.31050i
\(254\) 646.448 6150.54i 0.159692 1.51937i
\(255\) 2570.36 6875.12i 0.631224 1.68838i
\(256\) 180.875 + 1720.91i 0.0441589 + 0.420144i
\(257\) 1068.59 + 616.950i 0.259365 + 0.149744i 0.624045 0.781389i \(-0.285488\pi\)
−0.364680 + 0.931133i \(0.618822\pi\)
\(258\) −6400.46 2694.90i −1.54448 0.650298i
\(259\) −1130.45 + 1255.49i −0.271207 + 0.301206i
\(260\) −2852.48 + 1057.12i −0.680398 + 0.252152i
\(261\) 3639.56 + 3725.27i 0.863154 + 0.883481i
\(262\) −3845.94 + 1249.62i −0.906882 + 0.294664i
\(263\) 1035.00 + 931.917i 0.242665 + 0.218496i 0.781484 0.623925i \(-0.214463\pi\)
−0.538820 + 0.842421i \(0.681130\pi\)
\(264\) 3062.92 + 926.697i 0.714051 + 0.216039i
\(265\) −2263.87 1186.82i −0.524786 0.275116i
\(266\) −360.109 76.5435i −0.0830063 0.0176435i
\(267\) 205.703 + 1635.97i 0.0471490 + 0.374980i
\(268\) 4050.94 2338.81i 0.923323 0.533081i
\(269\) −1091.98 + 793.370i −0.247506 + 0.179824i −0.704621 0.709584i \(-0.748883\pi\)
0.457115 + 0.889408i \(0.348883\pi\)
\(270\) −707.713 6926.09i −0.159519 1.56114i
\(271\) 3284.05 + 2386.00i 0.736131 + 0.534831i 0.891497 0.453026i \(-0.149656\pi\)
−0.155366 + 0.987857i \(0.549656\pi\)
\(272\) 2600.47 + 273.321i 0.579694 + 0.0609283i
\(273\) −804.242 857.432i −0.178296 0.190088i
\(274\) −819.895 + 1420.10i −0.180772 + 0.313107i
\(275\) −4111.80 + 2248.24i −0.901639 + 0.492997i
\(276\) 215.236 + 10569.5i 0.0469409 + 2.30510i
\(277\) −1320.04 6210.28i −0.286329 1.34707i −0.852475 0.522768i \(-0.824899\pi\)
0.566145 0.824305i \(-0.308434\pi\)
\(278\) −358.589 + 493.556i −0.0773624 + 0.106480i
\(279\) −5002.19 3331.86i −1.07338 0.714958i
\(280\) −482.485 + 1720.46i −0.102978 + 0.367205i
\(281\) −4479.11 1994.23i −0.950894 0.423365i −0.128135 0.991757i \(-0.540899\pi\)
−0.822758 + 0.568392i \(0.807566\pi\)
\(282\) −2032.60 3360.64i −0.429219 0.709657i
\(283\) −5720.09 + 601.206i −1.20150 + 0.126283i −0.684052 0.729433i \(-0.739784\pi\)
−0.517446 + 0.855716i \(0.673117\pi\)
\(284\) −10176.1 2163.00i −2.12620 0.451938i
\(285\) 463.912 + 173.440i 0.0964203 + 0.0360481i
\(286\) −3784.96 + 804.519i −0.782551 + 0.166336i
\(287\) 2983.59 969.427i 0.613643 0.199385i
\(288\) 5652.77 2094.75i 1.15657 0.428591i
\(289\) −3414.54 + 10508.9i −0.695001 + 2.13899i
\(290\) 2369.90 + 9274.19i 0.479880 + 1.87793i
\(291\) −3617.96 + 1257.54i −0.728826 + 0.253328i
\(292\) −2807.38 + 295.068i −0.562636 + 0.0591354i
\(293\) 4452.92 + 2570.89i 0.887858 + 0.512605i 0.873241 0.487288i \(-0.162014\pi\)
0.0146166 + 0.999893i \(0.495347\pi\)
\(294\) 5682.90 714.552i 1.12732 0.141747i
\(295\) −98.7562 + 1541.54i −0.0194909 + 0.304243i
\(296\) −2307.66 1676.62i −0.453143 0.329227i
\(297\) 229.444 5254.76i 0.0448272 1.02664i
\(298\) −864.914 281.027i −0.168131 0.0546291i
\(299\) −2021.64 3501.59i −0.391019 0.677265i
\(300\) 3111.11 6934.01i 0.598733 1.33445i
\(301\) 1464.79 2537.08i 0.280494 0.485831i
\(302\) 1442.08 1298.46i 0.274776 0.247410i
\(303\) 6413.65 + 4463.15i 1.21602 + 0.846208i
\(304\) −18.4428 + 175.472i −0.00347950 + 0.0331053i
\(305\) −3142.76 8480.32i −0.590013 1.59207i
\(306\) 2194.41 + 14981.3i 0.409954 + 2.79878i
\(307\) 2531.44i 0.470608i 0.971922 + 0.235304i \(0.0756086\pi\)
−0.971922 + 0.235304i \(0.924391\pi\)
\(308\) −1735.93 + 3898.95i −0.321148 + 0.721310i
\(309\) 7969.49 + 6887.19i 1.46721 + 1.26796i
\(310\) −4900.37 9900.16i −0.897815 1.81384i
\(311\) 2488.22 + 2763.44i 0.453678 + 0.503860i 0.925978 0.377578i \(-0.123243\pi\)
−0.472300 + 0.881438i \(0.656576\pi\)
\(312\) 1297.82 1501.77i 0.235495 0.272502i
\(313\) 24.6629 + 22.2065i 0.00445376 + 0.00401018i 0.671354 0.741136i \(-0.265713\pi\)
−0.666901 + 0.745147i \(0.732379\pi\)
\(314\) −508.777 + 1565.85i −0.0914393 + 0.281421i
\(315\) 2936.16 + 68.2888i 0.525186 + 0.0122147i
\(316\) 465.211 + 1431.77i 0.0828169 + 0.254884i
\(317\) 4363.87 9801.42i 0.773184 1.73660i 0.102656 0.994717i \(-0.467266\pi\)
0.670528 0.741884i \(-0.266067\pi\)
\(318\) 5271.78 107.354i 0.929645 0.0189313i
\(319\) 755.908 + 7191.98i 0.132673 + 1.26230i
\(320\) 9097.83 + 1549.49i 1.58933 + 0.270685i
\(321\) 937.797 + 1995.94i 0.163062 + 0.347048i
\(322\) −7467.52 784.868i −1.29239 0.135835i
\(323\) −1024.40 332.846i −0.176467 0.0573377i
\(324\) 4851.83 + 7015.70i 0.831932 + 1.20297i
\(325\) 236.599 + 2897.08i 0.0403821 + 0.494464i
\(326\) 3790.42 + 6565.20i 0.643963 + 1.11538i
\(327\) −2715.43 2895.02i −0.459217 0.489588i
\(328\) 2154.37 + 4838.80i 0.362668 + 0.814566i
\(329\) 1513.56 673.882i 0.253634 0.112925i
\(330\) 5194.03 8153.33i 0.866430 1.36008i
\(331\) 1374.04 + 611.764i 0.228170 + 0.101588i 0.517638 0.855600i \(-0.326812\pi\)
−0.289468 + 0.957188i \(0.593478\pi\)
\(332\) 8337.92i 1.37832i
\(333\) −1731.00 + 4357.17i −0.284860 + 0.717031i
\(334\) 53.1682 + 163.635i 0.00871028 + 0.0268075i
\(335\) −1106.57 4330.37i −0.180473 0.706248i
\(336\) 238.323 + 1018.77i 0.0386952 + 0.165412i
\(337\) −1423.04 + 6694.89i −0.230024 + 1.08218i 0.699847 + 0.714293i \(0.253251\pi\)
−0.929871 + 0.367885i \(0.880082\pi\)
\(338\) 1528.45 7190.79i 0.245967 1.15718i
\(339\) −994.144 4249.69i −0.159276 0.680860i
\(340\) −6102.05 + 15360.6i −0.973323 + 2.45014i
\(341\) −2578.89 7937.00i −0.409544 1.26045i
\(342\) −1010.89 + 148.072i −0.159833 + 0.0234118i
\(343\) 5753.30i 0.905682i
\(344\) 4518.65 + 2011.83i 0.708225 + 0.315322i
\(345\) 9779.61 + 2528.99i 1.52614 + 0.394656i
\(346\) 12792.8 5695.72i 1.98770 0.884983i
\(347\) −3312.68 7440.40i −0.512490 1.15107i −0.965698 0.259666i \(-0.916387\pi\)
0.453209 0.891405i \(-0.350279\pi\)
\(348\) −8023.23 8553.85i −1.23589 1.31763i
\(349\) −3636.78 6299.09i −0.557801 0.966139i −0.997680 0.0680822i \(-0.978312\pi\)
0.439879 0.898057i \(-0.355021\pi\)
\(350\) 4610.82 + 2806.86i 0.704168 + 0.428665i
\(351\) −2919.64 1455.69i −0.443986 0.221365i
\(352\) 7960.97 + 2586.68i 1.20546 + 0.391677i
\(353\) −10435.9 1096.85i −1.57350 0.165381i −0.722808 0.691049i \(-0.757149\pi\)
−0.850690 + 0.525668i \(0.823815\pi\)
\(354\) −1355.06 2884.02i −0.203449 0.433005i
\(355\) −4615.52 + 8804.13i −0.690046 + 1.31627i
\(356\) −388.109 3692.61i −0.0577802 0.549742i
\(357\) −6385.90 + 130.042i −0.946717 + 0.0192789i
\(358\) −4703.49 + 10564.2i −0.694378 + 1.55960i
\(359\) −2601.83 8007.62i −0.382505 1.17723i −0.938274 0.345893i \(-0.887576\pi\)
0.555768 0.831337i \(-0.312424\pi\)
\(360\) 403.522 + 4942.29i 0.0590763 + 0.723560i
\(361\) −2097.09 + 6454.17i −0.305743 + 0.940979i
\(362\) 12502.0 + 11256.8i 1.81516 + 1.63438i
\(363\) 253.231 293.026i 0.0366149 0.0423688i
\(364\) 1771.34 + 1967.27i 0.255064 + 0.283278i
\(365\) −452.861 + 2658.97i −0.0649420 + 0.381307i
\(366\) 14115.7 + 12198.7i 2.01595 + 1.74217i
\(367\) 2826.57 6348.58i 0.402032 0.902979i −0.593164 0.805081i \(-0.702122\pi\)
0.995196 0.0978976i \(-0.0312118\pi\)
\(368\) 3598.54i 0.509746i
\(369\) 6829.13 5399.76i 0.963443 0.761789i
\(370\) −6759.28 + 5344.76i −0.949725 + 0.750975i
\(371\) −232.506 + 2212.15i −0.0325367 + 0.309566i
\(372\) 11109.1 + 7730.60i 1.54833 + 1.07745i
\(373\) 349.328 314.536i 0.0484920 0.0436624i −0.644528 0.764580i \(-0.722946\pi\)
0.693020 + 0.720918i \(0.256280\pi\)
\(374\) −10512.0 + 18207.4i −1.45338 + 2.51733i
\(375\) −5576.72 4651.30i −0.767948 0.640513i
\(376\) 1398.67 + 2422.57i 0.191837 + 0.332272i
\(377\) 4265.93 + 1386.08i 0.582776 + 0.189355i
\(378\) −5373.98 + 2797.50i −0.731237 + 0.380655i
\(379\) −9124.11 6629.05i −1.23661 0.898447i −0.239239 0.970961i \(-0.576898\pi\)
−0.997367 + 0.0725132i \(0.976898\pi\)
\(380\) −1036.49 411.747i −0.139923 0.0555847i
\(381\) 7183.42 903.224i 0.965926 0.121453i
\(382\) −5276.86 3046.60i −0.706774 0.408056i
\(383\) 9770.17 1026.89i 1.30348 0.137001i 0.572784 0.819706i \(-0.305863\pi\)
0.730694 + 0.682705i \(0.239197\pi\)
\(384\) −9215.65 + 3203.21i −1.22470 + 0.425685i
\(385\) 3139.22 + 2603.04i 0.415557 + 0.344580i
\(386\) 6187.21 19042.3i 0.815857 2.51095i
\(387\) 1365.17 8014.56i 0.179317 1.05272i
\(388\) 8203.03 2665.33i 1.07331 0.348741i
\(389\) −6192.62 + 1316.28i −0.807142 + 0.171563i −0.592962 0.805231i \(-0.702041\pi\)
−0.214181 + 0.976794i \(0.568708\pi\)
\(390\) −3309.60 5000.06i −0.429713 0.649199i
\(391\) −21488.1 4567.44i −2.77929 0.590756i
\(392\) −4057.12 + 426.420i −0.522743 + 0.0549425i
\(393\) −2450.02 4050.79i −0.314471 0.519937i
\(394\) 8228.63 + 3663.62i 1.05216 + 0.468453i
\(395\) 1437.28 58.5926i 0.183082 0.00746358i
\(396\) −757.478 + 11819.9i −0.0961230 + 1.49993i
\(397\) 5457.37 7511.43i 0.689919 0.949592i −0.310080 0.950710i \(-0.600356\pi\)
0.999999 + 0.00111843i \(0.000356006\pi\)
\(398\) 344.436 + 1620.44i 0.0433795 + 0.204084i
\(399\) −8.77487 430.901i −0.00110098 0.0540653i
\(400\) 1106.84 2338.25i 0.138355 0.292281i
\(401\) −324.616 + 562.251i −0.0404253 + 0.0700187i −0.885530 0.464582i \(-0.846205\pi\)
0.845105 + 0.534601i \(0.179538\pi\)
\(402\) 6307.60 + 6724.76i 0.782574 + 0.834330i
\(403\) −5147.99 541.075i −0.636326 0.0668806i
\(404\) −14234.9 10342.3i −1.75300 1.27363i
\(405\) 7706.38 2653.65i 0.945514 0.325583i
\(406\) 6738.95 4896.13i 0.823765 0.598500i
\(407\) −5637.86 + 3255.02i −0.686629 + 0.396426i
\(408\) −1345.38 10699.9i −0.163251 1.29835i
\(409\) 7864.66 + 1671.69i 0.950813 + 0.202102i 0.657110 0.753795i \(-0.271779\pi\)
0.293703 + 0.955897i \(0.405112\pi\)
\(410\) 15832.2 2319.39i 1.90707 0.279382i
\(411\) −1837.42 555.917i −0.220518 0.0667186i
\(412\) −17626.6 15871.0i −2.10776 1.89784i
\(413\) 1278.42 415.383i 0.152317 0.0494907i
\(414\) −20189.0 + 5158.58i −2.39670 + 0.612392i
\(415\) 7671.02 + 2151.25i 0.907363 + 0.254460i
\(416\) 3474.11 3858.39i 0.409453 0.454743i
\(417\) −658.229 277.146i −0.0772989 0.0325465i
\(418\) −1228.58 709.320i −0.143760 0.0829999i
\(419\) −1665.82 15849.2i −0.194226 1.84794i −0.465019 0.885301i \(-0.653952\pi\)
0.270793 0.962638i \(-0.412714\pi\)
\(420\) −6607.26 288.357i −0.767622 0.0335010i
\(421\) 876.547 8339.78i 0.101473 0.965454i −0.818774 0.574116i \(-0.805346\pi\)
0.920247 0.391338i \(-0.127988\pi\)
\(422\) 1941.12 2671.72i 0.223915 0.308193i
\(423\) 3288.80 3213.13i 0.378031 0.369333i
\(424\) −3755.56 −0.430156
\(425\) 12557.7 + 9577.16i 1.43326 + 1.09308i
\(426\) −417.499 20501.8i −0.0474833 2.33173i
\(427\) −5848.62 + 5266.12i −0.662845 + 0.596828i
\(428\) −2019.83 4536.60i −0.228112 0.512348i
\(429\) −1926.38 4099.97i −0.216799 0.461418i
\(430\) 9537.90 11502.5i 1.06967 1.29000i
\(431\) −8426.26 + 6122.03i −0.941713 + 0.684195i −0.948832 0.315780i \(-0.897734\pi\)
0.00711911 + 0.999975i \(0.497734\pi\)
\(432\) 1602.57 + 2421.24i 0.178481 + 0.269657i
\(433\) −2483.62 3418.41i −0.275647 0.379396i 0.648639 0.761096i \(-0.275339\pi\)
−0.924286 + 0.381700i \(0.875339\pi\)
\(434\) −6432.23 + 7143.71i −0.711421 + 0.790113i
\(435\) −9939.75 + 5174.54i −1.09557 + 0.570345i
\(436\) 5980.73 + 6642.28i 0.656938 + 0.729604i
\(437\) 308.197 1449.95i 0.0337370 0.158720i
\(438\) −1826.78 5255.64i −0.199285 0.573343i
\(439\) −211.666 + 44.9911i −0.0230120 + 0.00489136i −0.219403 0.975634i \(-0.570411\pi\)
0.196391 + 0.980526i \(0.437078\pi\)
\(440\) −3816.87 + 5730.61i −0.413550 + 0.620901i
\(441\) 2329.93 + 6287.43i 0.251586 + 0.678914i
\(442\) 7664.93 + 10549.9i 0.824850 + 1.13531i
\(443\) −14815.8 + 8553.89i −1.58898 + 0.917399i −0.595506 + 0.803351i \(0.703048\pi\)
−0.993475 + 0.114048i \(0.963618\pi\)
\(444\) 4096.90 9730.26i 0.437906 1.04004i
\(445\) −3497.40 595.658i −0.372568 0.0634537i
\(446\) 6040.15 2689.25i 0.641276 0.285515i
\(447\) 89.7055 1060.86i 0.00949201 0.112253i
\(448\) −1669.74 7855.50i −0.176089 0.828432i
\(449\) −9956.78 −1.04652 −0.523262 0.852172i \(-0.675285\pi\)
−0.523262 + 0.852172i \(0.675285\pi\)
\(450\) 14705.1 + 2857.81i 1.54045 + 0.299375i
\(451\) 12088.6 1.26215
\(452\) 2043.36 + 9613.23i 0.212636 + 1.00037i
\(453\) 1864.67 + 1297.59i 0.193399 + 0.134583i
\(454\) 17974.3 8002.69i 1.85810 0.827279i
\(455\) 2266.94 1122.09i 0.233574 0.115614i
\(456\) 721.999 90.7822i 0.0741462 0.00932295i
\(457\) 4382.38 2530.17i 0.448576 0.258985i −0.258653 0.965970i \(-0.583279\pi\)
0.707229 + 0.706985i \(0.249945\pi\)
\(458\) −11916.9 16402.2i −1.21580 1.67341i
\(459\) −16492.1 + 6496.37i −1.67710 + 0.660620i
\(460\) −21901.6 6142.07i −2.21993 0.622555i
\(461\) −16817.8 + 3574.74i −1.69910 + 0.361155i −0.952599 0.304229i \(-0.901601\pi\)
−0.746501 + 0.665384i \(0.768268\pi\)
\(462\) −8262.54 1581.15i −0.832052 0.159225i
\(463\) 39.7426 186.974i 0.00398919 0.0187677i −0.976108 0.217286i \(-0.930280\pi\)
0.980097 + 0.198518i \(0.0636129\pi\)
\(464\) −2671.22 2966.69i −0.267259 0.296821i
\(465\) 9978.52 8225.96i 0.995145 0.820365i
\(466\) 19544.6 21706.4i 1.94288 2.15779i
\(467\) 829.367 + 1141.53i 0.0821810 + 0.113112i 0.848128 0.529791i \(-0.177730\pi\)
−0.765947 + 0.642903i \(0.777730\pi\)
\(468\) 6506.47 + 3411.16i 0.642653 + 0.336925i
\(469\) −3146.59 + 2286.13i −0.309800 + 0.225083i
\(470\) 8187.57 2092.23i 0.803542 0.205335i
\(471\) −1920.60 162.404i −0.187891 0.0158879i
\(472\) 923.111 + 2073.34i 0.0900204 + 0.202189i
\(473\) 8389.20 7553.67i 0.815509 0.734288i
\(474\) −2539.08 + 1535.70i −0.246042 + 0.148812i
\(475\) −646.237 + 847.353i −0.0624240 + 0.0818510i
\(476\) 14383.0 1.38497
\(477\) 1528.16 + 5980.71i 0.146687 + 0.574084i
\(478\) 13215.3 18189.3i 1.26455 1.74050i
\(479\) 1322.28 12580.7i 0.126131 1.20005i −0.730056 0.683387i \(-0.760506\pi\)
0.856187 0.516666i \(-0.172827\pi\)
\(480\) 792.103 + 12946.9i 0.0753216 + 1.23113i
\(481\) 422.076 + 4015.79i 0.0400104 + 0.380674i
\(482\) 5857.53 + 3381.85i 0.553534 + 0.319583i
\(483\) −1096.63 8721.57i −0.103309 0.821625i
\(484\) −583.553 + 648.102i −0.0548040 + 0.0608660i
\(485\) −335.694 8234.60i −0.0314290 0.770957i
\(486\) −11286.6 + 12461.9i −1.05344 + 1.16313i
\(487\) 4720.45 1533.77i 0.439228 0.142714i −0.0810517 0.996710i \(-0.525828\pi\)
0.520279 + 0.853996i \(0.325828\pi\)
\(488\) −9874.79 8891.30i −0.916006 0.824776i
\(489\) −6472.95 + 6071.41i −0.598603 + 0.561469i
\(490\) −2069.15 + 12149.0i −0.190764 + 1.12007i
\(491\) −7636.66 1623.22i −0.701910 0.149196i −0.156887 0.987617i \(-0.550146\pi\)
−0.545023 + 0.838421i \(0.683479\pi\)
\(492\) −15622.5 + 11843.8i −1.43154 + 1.08528i
\(493\) 21105.6 12185.3i 1.92809 1.11318i
\(494\) −711.873 + 517.206i −0.0648354 + 0.0471057i
\(495\) 10679.1 + 3746.53i 0.969675 + 0.340190i
\(496\) 3727.11 + 2707.90i 0.337403 + 0.245138i
\(497\) 8603.00 + 904.212i 0.776453 + 0.0816085i
\(498\) −16002.7 + 3743.56i −1.43996 + 0.336853i
\(499\) −6600.85 + 11433.0i −0.592173 + 1.02567i 0.401766 + 0.915742i \(0.368397\pi\)
−0.993939 + 0.109932i \(0.964937\pi\)
\(500\) 12342.0 + 10727.5i 1.10390 + 0.959497i
\(501\) −172.350 + 104.242i −0.0153694 + 0.00929578i
\(502\) 1143.37 + 5379.14i 0.101656 + 0.478253i
\(503\) 4312.10 5935.10i 0.382241 0.526109i −0.573936 0.818900i \(-0.694584\pi\)
0.956176 + 0.292791i \(0.0945841\pi\)
\(504\) 3867.34 1914.15i 0.341796 0.169173i
\(505\) −13187.8 + 10428.0i −1.16208 + 0.918888i
\(506\) −26432.3 11768.4i −2.32225 1.03393i
\(507\) 8604.40 175.220i 0.753718 0.0153487i
\(508\) −16214.0 + 1704.16i −1.41610 + 0.148838i
\(509\) −4135.21 878.965i −0.360098 0.0765412i 0.0243102 0.999704i \(-0.492261\pi\)
−0.384408 + 0.923163i \(0.625594\pi\)
\(510\) −32220.9 4814.84i −2.79758 0.418048i
\(511\) 2295.88 488.005i 0.198755 0.0422467i
\(512\) −6981.33 + 2268.37i −0.602606 + 0.195799i
\(513\) −438.355 1112.84i −0.0377268 0.0957759i
\(514\) 1692.41 5208.70i 0.145231 0.446976i
\(515\) −19149.4 + 12121.9i −1.63849 + 1.03719i
\(516\) −3440.96 + 17981.2i −0.293565 + 1.53406i
\(517\) 6349.33 667.341i 0.540122 0.0567691i
\(518\) 6494.03 + 3749.33i 0.550833 + 0.318023i
\(519\) 9903.94 + 13063.8i 0.837640 + 1.10489i
\(520\) 2284.24 + 3608.50i 0.192635 + 0.304314i
\(521\) −2153.55 1564.65i −0.181092 0.131571i 0.493546 0.869720i \(-0.335700\pi\)
−0.674638 + 0.738149i \(0.735700\pi\)
\(522\) 12814.9 19239.2i 1.07450 1.61318i
\(523\) 2769.21 + 899.770i 0.231528 + 0.0752279i 0.422483 0.906371i \(-0.361159\pi\)
−0.190955 + 0.981599i \(0.561159\pi\)
\(524\) 5330.19 + 9232.17i 0.444371 + 0.769674i
\(525\) −1970.02 + 6004.39i −0.163769 + 0.499149i
\(526\) 3090.86 5353.53i 0.256213 0.443774i
\(527\) −20900.5 + 18818.9i −1.72759 + 1.55553i
\(528\) −339.705 + 4017.35i −0.0279995 + 0.331123i
\(529\) 1888.42 17967.1i 0.155208 1.47671i
\(530\) −3063.51 + 10924.0i −0.251076 + 0.895298i
\(531\) 2926.17 2313.70i 0.239143 0.189089i
\(532\) 970.523i 0.0790931i
\(533\) 3049.73 6849.81i 0.247840 0.556657i
\(534\) 6912.86 2402.80i 0.560204 0.194718i
\(535\) −4694.88 + 687.792i −0.379397 + 0.0555810i
\(536\) −4394.09 4880.13i −0.354096 0.393264i
\(537\) −13296.5 2544.47i −1.06850 0.204473i
\(538\) 4452.19 + 4008.77i 0.356780 + 0.321246i
\(539\) −2877.09 + 8854.78i −0.229917 + 0.707611i
\(540\) −17471.6 + 5621.05i −1.39233 + 0.447947i
\(541\) 2451.33 + 7544.42i 0.194808 + 0.599556i 0.999979 + 0.00651378i \(0.00207342\pi\)
−0.805171 + 0.593043i \(0.797927\pi\)
\(542\) 7328.38 16459.8i 0.580777 1.30445i
\(543\) −9497.91 + 17252.8i −0.750634 + 1.36352i
\(544\) −2948.67 28054.7i −0.232396 2.21110i
\(545\) 7654.09 3788.61i 0.601587 0.297773i
\(546\) −2980.43 + 4282.94i −0.233609 + 0.335702i
\(547\) 15742.6 + 1654.61i 1.23054 + 0.129334i 0.697392 0.716690i \(-0.254344\pi\)
0.533144 + 0.846025i \(0.321010\pi\)
\(548\) 4111.22 + 1335.82i 0.320480 + 0.104130i
\(549\) −10141.3 + 19343.5i −0.788376 + 1.50375i
\(550\) 13555.4 + 15776.9i 1.05092 + 1.22315i
\(551\) 822.228 + 1424.14i 0.0635718 + 0.110110i
\(552\) 14451.3 3380.63i 1.11429 0.260669i
\(553\) −509.141 1143.55i −0.0391517 0.0879362i
\(554\) −25744.2 + 11462.1i −1.97431 + 0.879019i
\(555\) −7894.97 6279.70i −0.603825 0.480286i
\(556\) 1469.21 + 654.137i 0.112066 + 0.0498949i
\(557\) 17004.9i 1.29357i 0.762671 + 0.646787i \(0.223888\pi\)
−0.762671 + 0.646787i \(0.776112\pi\)
\(558\) −9849.35 + 24792.2i −0.747234 + 1.88089i
\(559\) −2163.73 6659.26i −0.163714 0.503858i
\(560\) −2246.61 143.926i −0.169530 0.0108607i
\(561\) −23557.9 7127.52i −1.77293 0.536407i
\(562\) −4524.63 + 21286.7i −0.339609 + 1.59773i
\(563\) 5195.10 24441.0i 0.388894 1.82960i −0.151837 0.988406i \(-0.548519\pi\)
0.540731 0.841196i \(-0.318148\pi\)
\(564\) −7551.63 + 7083.18i −0.563796 + 0.528822i
\(565\) 9371.54 + 600.373i 0.697812 + 0.0447042i
\(566\) 7888.86 + 24279.4i 0.585854 + 1.80307i
\(567\) −4621.92 5379.85i −0.342332 0.398470i
\(568\) 14605.3i 1.07892i
\(569\) 19744.6 + 8790.85i 1.45472 + 0.647683i 0.973452 0.228890i \(-0.0735097\pi\)
0.481268 + 0.876573i \(0.340176\pi\)
\(570\) 324.891 2174.17i 0.0238740 0.159765i
\(571\) 9342.89 4159.72i 0.684742 0.304867i −0.0347215 0.999397i \(-0.511054\pi\)
0.719464 + 0.694530i \(0.244388\pi\)
\(572\) 4149.04 + 9318.89i 0.303287 + 0.681193i
\(573\) 2065.70 6827.53i 0.150603 0.497774i
\(574\) −6962.19 12058.9i −0.506265 0.876877i
\(575\) −11301.6 + 18565.2i −0.819669 + 1.34647i
\(576\) −11920.1 18831.6i −0.862279 1.36224i
\(577\) −10877.6 3534.34i −0.784816 0.255002i −0.110921 0.993829i \(-0.535380\pi\)
−0.673895 + 0.738827i \(0.735380\pi\)
\(578\) 48776.1 + 5126.58i 3.51007 + 0.368923i
\(579\) 23356.3 + 1974.99i 1.67643 + 0.141758i
\(580\) 22615.3 11194.1i 1.61905 0.801397i
\(581\) −724.686 6894.93i −0.0517471 0.492341i
\(582\) 8798.48 + 14547.1i 0.626647 + 1.03608i
\(583\) −3486.23 + 7830.21i −0.247659 + 0.556251i
\(584\) 1224.62 + 3769.00i 0.0867727 + 0.267059i
\(585\) 4817.05 5105.95i 0.340445 0.360864i
\(586\) 7052.45 21705.2i 0.497157 1.53009i
\(587\) −4862.27 4378.01i −0.341887 0.307836i 0.480244 0.877135i \(-0.340548\pi\)
−0.822131 + 0.569299i \(0.807215\pi\)
\(588\) −4957.30 14262.2i −0.347679 1.00028i
\(589\) −1269.84 1410.30i −0.0888333 0.0986594i
\(590\) 6783.84 993.820i 0.473366 0.0693473i
\(591\) −1981.92 + 10356.8i −0.137945 + 0.720850i
\(592\) 1461.71 3283.05i 0.101479 0.227927i
\(593\) 21625.8i 1.49758i −0.662807 0.748790i \(-0.730635\pi\)
0.662807 0.748790i \(-0.269365\pi\)
\(594\) −23025.7 + 3853.10i −1.59050 + 0.266153i
\(595\) 3710.94 13232.6i 0.255687 0.911739i
\(596\) −250.598 + 2384.28i −0.0172230 + 0.163866i
\(597\) −1755.31 + 824.736i −0.120335 + 0.0565397i
\(598\) −13336.8 + 12008.5i −0.912010 + 0.821178i
\(599\) 1869.46 3237.99i 0.127519 0.220870i −0.795196 0.606353i \(-0.792632\pi\)
0.922715 + 0.385483i \(0.125965\pi\)
\(600\) −10429.9 2248.27i −0.709667 0.152975i
\(601\) 7758.29 + 13437.7i 0.526568 + 0.912042i 0.999521 + 0.0309542i \(0.00985461\pi\)
−0.472953 + 0.881088i \(0.656812\pi\)
\(602\) −12366.7 4018.18i −0.837257 0.272041i
\(603\) −5983.60 + 8983.31i −0.404098 + 0.606681i
\(604\) −4138.57 3006.85i −0.278802 0.202561i
\(605\) 445.703 + 704.094i 0.0299511 + 0.0473149i
\(606\) 13458.4 31964.1i 0.902161 2.14266i
\(607\) −21010.8 12130.6i −1.40494 0.811144i −0.410048 0.912064i \(-0.634488\pi\)
−0.994895 + 0.100920i \(0.967821\pi\)
\(608\) 1893.05 198.967i 0.126272 0.0132717i
\(609\) 7378.15 + 6376.16i 0.490932 + 0.424261i
\(610\) −33917.7 + 21470.4i −2.25129 + 1.42510i
\(611\) 1223.68 3766.11i 0.0810227 0.249362i
\(612\) 37427.8 13869.6i 2.47211 0.916090i
\(613\) 8068.10 2621.48i 0.531595 0.172726i −0.0309063 0.999522i \(-0.509839\pi\)
0.562501 + 0.826797i \(0.309839\pi\)
\(614\) 10990.4 2336.09i 0.722374 0.153545i
\(615\) 6865.74 + 17428.8i 0.450168 + 1.14276i
\(616\) 5860.77 + 1245.75i 0.383340 + 0.0814814i
\(617\) 1609.94 169.212i 0.105047 0.0110409i −0.0518592 0.998654i \(-0.516515\pi\)
0.156906 + 0.987614i \(0.449848\pi\)
\(618\) 22546.8 40955.9i 1.46758 2.66584i
\(619\) 7639.30 + 3401.23i 0.496041 + 0.220852i 0.639480 0.768807i \(-0.279150\pi\)
−0.143439 + 0.989659i \(0.545816\pi\)
\(620\) −22842.5 + 18062.2i −1.47964 + 1.17000i
\(621\) −11263.9 21638.0i −0.727868 1.39823i
\(622\) 9701.50 13353.0i 0.625394 0.860781i
\(623\) 641.884 + 3019.83i 0.0412785 + 0.194200i
\(624\) 2190.67 + 1205.99i 0.140540 + 0.0773693i
\(625\) 13053.8 8587.09i 0.835445 0.549574i
\(626\) 73.6518 127.569i 0.00470242 0.00814483i
\(627\) 480.943 1589.61i 0.0306332 0.101249i
\(628\) 4316.54 + 453.687i 0.274281 + 0.0288281i
\(629\) 17749.0 + 12895.4i 1.12512 + 0.817445i
\(630\) −2413.09 12810.6i −0.152603 0.810135i
\(631\) −11199.3 + 8136.79i −0.706559 + 0.513345i −0.882062 0.471134i \(-0.843845\pi\)
0.175503 + 0.984479i \(0.443845\pi\)
\(632\) 1830.33 1056.74i 0.115201 0.0665111i
\(633\) 3563.14 + 1500.25i 0.223731 + 0.0942015i
\(634\) −46580.7 9901.04i −2.91791 0.620222i
\(635\) −2615.49 + 15356.8i −0.163453 + 0.959712i
\(636\) −3166.26 13534.9i −0.197406 0.843857i
\(637\) 4291.59 + 3864.16i 0.266937 + 0.240351i
\(638\) 30527.0 9918.81i 1.89432 0.615501i
\(639\) 23258.9 5942.97i 1.43992 0.367919i
\(640\) −855.079 20975.2i −0.0528125 1.29549i
\(641\) 3130.31 3476.56i 0.192886 0.214221i −0.638942 0.769255i \(-0.720628\pi\)
0.831828 + 0.555033i \(0.187294\pi\)
\(642\) 7800.10 5913.43i 0.479510 0.363528i
\(643\) −7313.69 4222.56i −0.448560 0.258976i 0.258662 0.965968i \(-0.416718\pi\)
−0.707222 + 0.706992i \(0.750052\pi\)
\(644\) 2069.06 + 19685.8i 0.126603 + 1.20455i
\(645\) 15655.2 + 7805.03i 0.955694 + 0.476470i
\(646\) −499.734 + 4754.65i −0.0304362 + 0.289581i
\(647\) −7918.42 + 10898.8i −0.481152 + 0.662249i −0.978726 0.205173i \(-0.934224\pi\)
0.497574 + 0.867422i \(0.334224\pi\)
\(648\) 8217.86 8710.35i 0.498191 0.528048i
\(649\) 5179.75 0.313287
\(650\) 12359.5 3700.73i 0.745817 0.223315i
\(651\) −9858.39 5427.18i −0.593519 0.326740i
\(652\) 14851.4 13372.3i 0.892063 0.803217i
\(653\) 9939.25 + 22323.9i 0.595640 + 1.33783i 0.920008 + 0.391898i \(0.128182\pi\)
−0.324369 + 0.945931i \(0.605152\pi\)
\(654\) −10063.1 + 14460.9i −0.601678 + 0.864626i
\(655\) 9868.98 2521.89i 0.588722 0.150440i
\(656\) −5398.80 + 3922.46i −0.321323 + 0.233455i
\(657\) 5503.81 3483.83i 0.326825 0.206876i
\(658\) −4322.47 5949.38i −0.256091 0.352478i
\(659\) −1082.04 + 1201.73i −0.0639611 + 0.0710360i −0.774276 0.632848i \(-0.781886\pi\)
0.710315 + 0.703884i \(0.248552\pi\)
\(660\) −23870.8 8924.44i −1.40784 0.526339i
\(661\) 6417.44 + 7127.29i 0.377624 + 0.419394i 0.901758 0.432242i \(-0.142277\pi\)
−0.524134 + 0.851636i \(0.675611\pi\)
\(662\) 1388.01 6530.07i 0.0814902 0.383381i
\(663\) −9981.92 + 11550.6i −0.584715 + 0.676601i
\(664\) 11449.7 2433.71i 0.669179 0.142238i
\(665\) 892.898 + 250.403i 0.0520678 + 0.0146018i
\(666\) 20514.4 + 3494.35i 1.19357 + 0.203308i
\(667\) 19713.9 + 27133.9i 1.14442 + 1.57516i
\(668\) 392.805 226.786i 0.0227516 0.0131356i
\(669\) 4676.17 + 6168.08i 0.270241 + 0.356460i
\(670\) −17779.4 + 8800.45i −1.02519 + 0.507450i
\(671\) −27704.7 + 12334.9i −1.59393 + 0.709664i
\(672\) 10216.1 4800.04i 0.586448 0.275544i
\(673\) −1307.38 6150.74i −0.0748823 0.352294i 0.924715 0.380659i \(-0.124303\pi\)
−0.999598 + 0.0283659i \(0.990970\pi\)
\(674\) 30379.6 1.73617
\(675\) 663.638 + 17524.5i 0.0378421 + 0.999284i
\(676\) −19379.8 −1.10263
\(677\) −4116.51 19366.7i −0.233693 1.09944i −0.925908 0.377749i \(-0.876698\pi\)
0.692215 0.721691i \(-0.256635\pi\)
\(678\) −17533.0 + 8237.90i −0.993140 + 0.466629i
\(679\) −6551.73 + 2917.02i −0.370298 + 0.164867i
\(680\) 22874.5 + 3895.85i 1.28999 + 0.219705i
\(681\) 13915.4 + 18355.0i 0.783023 + 1.03284i
\(682\) −32079.2 + 18521.0i −1.80114 + 1.03989i
\(683\) −9984.25 13742.1i −0.559351 0.769881i 0.431893 0.901925i \(-0.357846\pi\)
−0.991244 + 0.132044i \(0.957846\pi\)
\(684\) 935.882 + 2525.52i 0.0523163 + 0.141178i
\(685\) 2289.70 3437.74i 0.127716 0.191751i
\(686\) 24978.4 5309.32i 1.39020 0.295497i
\(687\) 15519.1 17957.9i 0.861852 0.997290i
\(688\) −1295.66 + 6095.59i −0.0717972 + 0.337779i
\(689\) 3557.35 + 3950.84i 0.196697 + 0.218454i
\(690\) 1954.87 44792.8i 0.107856 2.47135i
\(691\) −8781.41 + 9752.75i −0.483445 + 0.536920i −0.934683 0.355484i \(-0.884316\pi\)
0.451237 + 0.892404i \(0.350983\pi\)
\(692\) −21698.6 29865.5i −1.19199 1.64063i
\(693\) −400.935 9840.15i −0.0219773 0.539389i
\(694\) −29246.0 + 21248.5i −1.59966 + 1.16222i
\(695\) 980.886 1182.93i 0.0535355 0.0645627i
\(696\) −9404.37 + 13514.3i −0.512172 + 0.736004i
\(697\) −16569.9 37216.7i −0.900476 2.02250i
\(698\) −23991.9 + 21602.4i −1.30101 + 1.17144i
\(699\) 29955.1 + 16490.7i 1.62089 + 0.892325i
\(700\) 4710.54 13427.8i 0.254345 0.725034i
\(701\) 37047.9 1.99612 0.998060 0.0622542i \(-0.0198289\pi\)
0.998060 + 0.0622542i \(0.0198289\pi\)
\(702\) −3625.66 + 14019.2i −0.194931 + 0.753734i
\(703\) −870.141 + 1197.65i −0.0466828 + 0.0642534i
\(704\) 3234.80 30777.0i 0.173176 1.64766i
\(705\) 4568.26 + 8775.15i 0.244043 + 0.468782i
\(706\) 4868.46 + 46320.3i 0.259528 + 2.46925i
\(707\) 12670.3 + 7315.18i 0.673995 + 0.389131i
\(708\) −6693.98 + 5074.86i −0.355332 + 0.269385i
\(709\) −12120.7 + 13461.4i −0.642035 + 0.713052i −0.973055 0.230571i \(-0.925940\pi\)
0.331020 + 0.943624i \(0.392607\pi\)
\(710\) 42483.2 + 11913.9i 2.24558 + 0.629749i
\(711\) −2427.63 2484.80i −0.128050 0.131065i
\(712\) −4957.45 + 1610.77i −0.260939 + 0.0847841i
\(713\) −28763.7 25898.9i −1.51081 1.36034i
\(714\) 6457.70 + 27604.9i 0.338478 + 1.44690i
\(715\) 9644.02 1412.83i 0.504428 0.0738978i
\(716\) 29818.7 + 6338.15i 1.55639 + 0.330821i
\(717\) 24258.2 + 10213.8i 1.26351 + 0.531998i
\(718\) −32364.6 + 18685.7i −1.68222 + 0.971233i
\(719\) 21579.2 15678.2i 1.11929 0.813210i 0.135187 0.990820i \(-0.456837\pi\)
0.984101 + 0.177610i \(0.0568365\pi\)
\(720\) −5984.97 + 1791.90i −0.309787 + 0.0927500i
\(721\) 15955.5 + 11592.3i 0.824151 + 0.598781i
\(722\) 29956.6 + 3148.56i 1.54414 + 0.162295i
\(723\) −2293.01 + 7578.84i −0.117950 + 0.389848i
\(724\) 22174.4 38407.1i 1.13826 1.97153i
\(725\) −4463.83 23694.7i −0.228665 1.21379i
\(726\) −1505.88 829.010i −0.0769816 0.0423794i
\(727\) 2189.88 + 10302.6i 0.111717 + 0.525586i 0.998043 + 0.0625254i \(0.0199154\pi\)
−0.886327 + 0.463061i \(0.846751\pi\)
\(728\) 2184.45 3006.64i 0.111210 0.153068i
\(729\) −17215.1 9542.61i −0.874617 0.484815i
\(730\) 11962.0 487.648i 0.606486 0.0247242i
\(731\) −34754.4 15473.6i −1.75846 0.782918i
\(732\) 23718.6 43084.5i 1.19763 2.17548i
\(733\) −19310.2 + 2029.59i −0.973042 + 0.102271i −0.577688 0.816258i \(-0.696045\pi\)
−0.395354 + 0.918529i \(0.629378\pi\)
\(734\) −30171.3 6413.11i −1.51723 0.322496i
\(735\) −14400.5 + 881.036i −0.722679 + 0.0442143i
\(736\) 37973.9 8071.59i 1.90181 0.404243i
\(737\) −14253.9 + 4631.36i −0.712412 + 0.231477i
\(738\) −29745.6 24666.2i −1.48367 1.23032i
\(739\) −1790.33 + 5510.06i −0.0891181 + 0.274277i −0.985676 0.168649i \(-0.946060\pi\)
0.896558 + 0.442926i \(0.146060\pi\)
\(740\) 17486.6 + 14499.9i 0.868677 + 0.720308i
\(741\) −779.396 673.550i −0.0386395 0.0333920i
\(742\) 9818.79 1032.00i 0.485794 0.0510590i
\(743\) 771.481 + 445.415i 0.0380927 + 0.0219929i 0.518925 0.854820i \(-0.326332\pi\)
−0.480833 + 0.876812i \(0.659666\pi\)
\(744\) 7373.17 17511.5i 0.363325 0.862908i
\(745\) 2128.92 + 845.719i 0.104695 + 0.0415903i
\(746\) −1687.96 1226.37i −0.0828424 0.0601885i
\(747\) −8534.62 17243.3i −0.418026 0.844578i
\(748\) 52710.8 + 17126.8i 2.57660 + 0.837188i
\(749\) 2064.57 + 3575.93i 0.100718 + 0.174448i
\(750\) −15047.6 + 28504.1i −0.732616 + 1.38776i
\(751\) −11956.4 + 20709.1i −0.580953 + 1.00624i 0.414414 + 0.910088i \(0.363987\pi\)
−0.995367 + 0.0961511i \(0.969347\pi\)
\(752\) −2619.09 + 2358.24i −0.127006 + 0.114357i
\(753\) −5826.83 + 2737.75i −0.281994 + 0.132496i
\(754\) 2081.06 19800.0i 0.100514 0.956330i
\(755\) −3834.14 + 3031.77i −0.184819 + 0.146142i
\(756\) 10159.0 + 12324.0i 0.488730 + 0.592881i
\(757\) 38237.3i 1.83588i −0.396724 0.917938i \(-0.629853\pi\)
0.396724 0.917938i \(-0.370147\pi\)
\(758\) −20360.5 + 45730.5i −0.975631 + 2.19130i
\(759\) 6366.41 33268.5i 0.304461 1.59100i
\(760\) −262.880 + 1543.50i −0.0125469 + 0.0736692i
\(761\) 25403.6 + 28213.5i 1.21009 + 1.34394i 0.922408 + 0.386217i \(0.126218\pi\)
0.287683 + 0.957726i \(0.407115\pi\)
\(762\) −10550.5 30353.9i −0.501580 1.44305i
\(763\) −5523.00 4972.93i −0.262052 0.235953i
\(764\) −4963.68 + 15276.6i −0.235052 + 0.723415i
\(765\) −3103.61 38012.7i −0.146682 1.79654i
\(766\) −13474.5 41470.3i −0.635580 1.95611i
\(767\) 1306.76 2935.03i 0.0615180 0.138172i
\(768\) 4653.29 + 7693.61i 0.218634 + 0.361483i
\(769\) −2128.89 20255.1i −0.0998307 0.949826i −0.923718 0.383073i \(-0.874866\pi\)
0.823888 0.566753i \(-0.191801\pi\)
\(770\) 8404.35 16031.3i 0.393340 0.750298i
\(771\) 6388.73 + 540.226i 0.298423 + 0.0252345i