Properties

Label 552.2.t.a.451.23
Level $552$
Weight $2$
Character 552.451
Analytic conductor $4.408$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 552 = 2^{3} \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 552.t (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.40774219157\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 451.23
Character \(\chi\) \(=\) 552.451
Dual form 552.2.t.a.235.23

$q$-expansion

\(f(q)\) \(=\) \(q+(1.40862 - 0.125605i) q^{2} +(0.654861 + 0.755750i) q^{3} +(1.96845 - 0.353861i) q^{4} +(0.329554 + 2.29210i) q^{5} +(1.01738 + 0.982314i) q^{6} +(0.102068 - 0.223497i) q^{7} +(2.72836 - 0.745705i) q^{8} +(-0.142315 + 0.989821i) q^{9} +O(q^{10})\) \(q+(1.40862 - 0.125605i) q^{2} +(0.654861 + 0.755750i) q^{3} +(1.96845 - 0.353861i) q^{4} +(0.329554 + 2.29210i) q^{5} +(1.01738 + 0.982314i) q^{6} +(0.102068 - 0.223497i) q^{7} +(2.72836 - 0.745705i) q^{8} +(-0.142315 + 0.989821i) q^{9} +(0.752116 + 3.18731i) q^{10} +(-1.07989 + 3.67777i) q^{11} +(1.55649 + 1.25592i) q^{12} +(-4.96634 + 2.26805i) q^{13} +(0.115703 - 0.327644i) q^{14} +(-1.51644 + 1.75006i) q^{15} +(3.74956 - 1.39311i) q^{16} +(3.16634 - 4.92692i) q^{17} +(-0.0761415 + 1.41216i) q^{18} +(-2.56041 - 3.98408i) q^{19} +(1.45979 + 4.39525i) q^{20} +(0.235748 - 0.0692219i) q^{21} +(-1.05921 + 5.31624i) q^{22} +(-0.134482 - 4.79395i) q^{23} +(2.35026 + 1.57362i) q^{24} +(-0.347630 + 0.102073i) q^{25} +(-6.71082 + 3.81863i) q^{26} +(-0.841254 + 0.540641i) q^{27} +(0.121828 - 0.476061i) q^{28} +(5.43786 - 8.46148i) q^{29} +(-1.91628 + 2.65565i) q^{30} +(2.84031 + 2.46114i) q^{31} +(5.10675 - 2.43334i) q^{32} +(-3.48666 + 1.59230i) q^{33} +(3.84134 - 7.33789i) q^{34} +(0.545914 + 0.160295i) q^{35} +(0.0701201 + 1.99877i) q^{36} +(-0.0873580 + 0.607588i) q^{37} +(-4.10708 - 5.29047i) q^{38} +(-4.96634 - 2.26805i) q^{39} +(2.60837 + 6.00790i) q^{40} +(1.08039 + 7.51427i) q^{41} +(0.323386 - 0.127119i) q^{42} +(-4.07515 + 3.53114i) q^{43} +(-0.824289 + 7.62163i) q^{44} -2.31567 q^{45} +(-0.791578 - 6.73598i) q^{46} -7.48463i q^{47} +(3.50829 + 1.92144i) q^{48} +(4.54449 + 5.24462i) q^{49} +(-0.476859 + 0.187447i) q^{50} +(5.79703 - 0.833487i) q^{51} +(-8.97339 + 6.22193i) q^{52} +(-3.61923 + 7.92501i) q^{53} +(-1.11710 + 0.867226i) q^{54} +(-8.78569 - 1.26319i) q^{55} +(0.111814 - 0.685893i) q^{56} +(1.33425 - 4.54405i) q^{57} +(6.59710 - 12.6021i) q^{58} +(-2.19586 - 4.80827i) q^{59} +(-2.36575 + 3.98151i) q^{60} +(2.00820 - 2.31759i) q^{61} +(4.31006 + 3.11007i) q^{62} +(0.206697 + 0.132836i) q^{63} +(6.88785 - 4.06909i) q^{64} +(-6.83526 - 10.6359i) q^{65} +(-4.71139 + 2.68090i) q^{66} +(0.858092 + 2.92239i) q^{67} +(4.48932 - 10.8188i) q^{68} +(3.53496 - 3.24100i) q^{69} +(0.789122 + 0.157226i) q^{70} +(-4.30935 - 14.6763i) q^{71} +(0.349829 + 2.80671i) q^{72} +(8.82008 - 5.66832i) q^{73} +(-0.0467384 + 0.866837i) q^{74} +(-0.304791 - 0.195877i) q^{75} +(-6.44984 - 6.93642i) q^{76} +(0.711751 + 0.616736i) q^{77} +(-7.28058 - 2.57103i) q^{78} +(-2.27224 - 4.97551i) q^{79} +(4.42883 + 8.13525i) q^{80} +(-0.959493 - 0.281733i) q^{81} +(2.46569 + 10.4491i) q^{82} +(0.0564639 + 0.00811829i) q^{83} +(0.439563 - 0.219682i) q^{84} +(12.3364 + 5.63387i) q^{85} +(-5.29683 + 5.48591i) q^{86} +(9.95580 - 1.43143i) q^{87} +(-0.203796 + 10.8396i) q^{88} +(-12.4755 + 10.8101i) q^{89} +(-3.26190 + 0.290860i) q^{90} +1.34146i q^{91} +(-1.96111 - 9.38904i) q^{92} +3.75827i q^{93} +(-0.940109 - 10.5430i) q^{94} +(8.28809 - 7.18167i) q^{95} +(5.18320 + 2.26592i) q^{96} +(-15.6973 + 2.25693i) q^{97} +(7.06024 + 6.81689i) q^{98} +(-3.48666 - 1.59230i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 24q^{3} - 4q^{4} + 11q^{6} - 24q^{9} + O(q^{10}) \) \( 240q + 24q^{3} - 4q^{4} + 11q^{6} - 24q^{9} + 4q^{12} - 4q^{16} + 44q^{17} - 55q^{20} - 24q^{25} + 24q^{27} + 33q^{34} + 7q^{36} - 132q^{38} + 11q^{40} - 66q^{42} + 77q^{44} + 37q^{48} - 56q^{49} - 37q^{50} - 55q^{52} - 11q^{54} + 132q^{56} + 37q^{58} + 11q^{60} + 51q^{62} - 4q^{64} - 55q^{66} - 132q^{70} + 144q^{73} + 44q^{74} + 24q^{75} - 55q^{76} - 198q^{80} - 24q^{81} - 26q^{82} + 44q^{84} - 110q^{86} + 22q^{88} - 139q^{92} - 117q^{94} - 209q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(185\) \(277\) \(415\)
\(\chi(n)\) \(e\left(\frac{21}{22}\right)\) \(1\) \(-1\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.40862 0.125605i 0.996048 0.0888163i
\(3\) 0.654861 + 0.755750i 0.378084 + 0.436332i
\(4\) 1.96845 0.353861i 0.984223 0.176931i
\(5\) 0.329554 + 2.29210i 0.147381 + 1.02506i 0.920485 + 0.390777i \(0.127794\pi\)
−0.773104 + 0.634279i \(0.781297\pi\)
\(6\) 1.01738 + 0.982314i 0.415343 + 0.401028i
\(7\) 0.102068 0.223497i 0.0385780 0.0844741i −0.889362 0.457204i \(-0.848851\pi\)
0.927940 + 0.372730i \(0.121578\pi\)
\(8\) 2.72836 0.745705i 0.964619 0.263646i
\(9\) −0.142315 + 0.989821i −0.0474383 + 0.329940i
\(10\) 0.752116 + 3.18731i 0.237840 + 1.00792i
\(11\) −1.07989 + 3.67777i −0.325600 + 1.10889i 0.620282 + 0.784379i \(0.287018\pi\)
−0.945882 + 0.324512i \(0.894800\pi\)
\(12\) 1.55649 + 1.25592i 0.449320 + 0.362554i
\(13\) −4.96634 + 2.26805i −1.37741 + 0.629044i −0.960084 0.279712i \(-0.909761\pi\)
−0.417329 + 0.908755i \(0.637034\pi\)
\(14\) 0.115703 0.327644i 0.0309229 0.0875666i
\(15\) −1.51644 + 1.75006i −0.391543 + 0.451864i
\(16\) 3.74956 1.39311i 0.937391 0.348278i
\(17\) 3.16634 4.92692i 0.767950 1.19495i −0.208249 0.978076i \(-0.566776\pi\)
0.976199 0.216878i \(-0.0695872\pi\)
\(18\) −0.0761415 + 1.41216i −0.0179467 + 0.332850i
\(19\) −2.56041 3.98408i −0.587399 0.914010i −0.999995 0.00309641i \(-0.999014\pi\)
0.412596 0.910914i \(-0.364622\pi\)
\(20\) 1.45979 + 4.39525i 0.326419 + 0.982808i
\(21\) 0.235748 0.0692219i 0.0514445 0.0151055i
\(22\) −1.05921 + 5.31624i −0.225825 + 1.13343i
\(23\) −0.134482 4.79395i −0.0280413 0.999607i
\(24\) 2.35026 + 1.57362i 0.479745 + 0.321214i
\(25\) −0.347630 + 0.102073i −0.0695260 + 0.0204147i
\(26\) −6.71082 + 3.81863i −1.31610 + 0.748894i
\(27\) −0.841254 + 0.540641i −0.161899 + 0.104046i
\(28\) 0.121828 0.476061i 0.0230233 0.0899670i
\(29\) 5.43786 8.46148i 1.00979 1.57126i 0.204068 0.978957i \(-0.434584\pi\)
0.805718 0.592300i \(-0.201780\pi\)
\(30\) −1.91628 + 2.65565i −0.349862 + 0.484854i
\(31\) 2.84031 + 2.46114i 0.510135 + 0.442034i 0.871504 0.490388i \(-0.163145\pi\)
−0.361369 + 0.932423i \(0.617691\pi\)
\(32\) 5.10675 2.43334i 0.902754 0.430158i
\(33\) −3.48666 + 1.59230i −0.606949 + 0.277184i
\(34\) 3.84134 7.33789i 0.658784 1.25844i
\(35\) 0.545914 + 0.160295i 0.0922763 + 0.0270948i
\(36\) 0.0701201 + 1.99877i 0.0116867 + 0.333128i
\(37\) −0.0873580 + 0.607588i −0.0143616 + 0.0998869i −0.995741 0.0921901i \(-0.970613\pi\)
0.981380 + 0.192077i \(0.0615223\pi\)
\(38\) −4.10708 5.29047i −0.666256 0.858228i
\(39\) −4.96634 2.26805i −0.795250 0.363179i
\(40\) 2.60837 + 6.00790i 0.412419 + 0.949933i
\(41\) 1.08039 + 7.51427i 0.168728 + 1.17353i 0.881517 + 0.472153i \(0.156523\pi\)
−0.712788 + 0.701379i \(0.752568\pi\)
\(42\) 0.323386 0.127119i 0.0498996 0.0196149i
\(43\) −4.07515 + 3.53114i −0.621455 + 0.538494i −0.907677 0.419670i \(-0.862146\pi\)
0.286222 + 0.958163i \(0.407601\pi\)
\(44\) −0.824289 + 7.62163i −0.124266 + 1.14900i
\(45\) −2.31567 −0.345199
\(46\) −0.791578 6.73598i −0.116712 0.993166i
\(47\) 7.48463i 1.09175i −0.837868 0.545873i \(-0.816198\pi\)
0.837868 0.545873i \(-0.183802\pi\)
\(48\) 3.50829 + 1.92144i 0.506378 + 0.277335i
\(49\) 4.54449 + 5.24462i 0.649213 + 0.749232i
\(50\) −0.476859 + 0.187447i −0.0674381 + 0.0265090i
\(51\) 5.79703 0.833487i 0.811746 0.116711i
\(52\) −8.97339 + 6.22193i −1.24439 + 0.862826i
\(53\) −3.61923 + 7.92501i −0.497139 + 1.08858i 0.480249 + 0.877132i \(0.340546\pi\)
−0.977389 + 0.211451i \(0.932181\pi\)
\(54\) −1.11710 + 0.867226i −0.152018 + 0.118014i
\(55\) −8.78569 1.26319i −1.18466 0.170329i
\(56\) 0.111814 0.685893i 0.0149418 0.0916563i
\(57\) 1.33425 4.54405i 0.176726 0.601874i
\(58\) 6.59710 12.6021i 0.866242 1.65473i
\(59\) −2.19586 4.80827i −0.285877 0.625983i 0.711150 0.703041i \(-0.248175\pi\)
−0.997027 + 0.0770573i \(0.975448\pi\)
\(60\) −2.36575 + 3.98151i −0.305417 + 0.514011i
\(61\) 2.00820 2.31759i 0.257124 0.296737i −0.612481 0.790485i \(-0.709828\pi\)
0.869605 + 0.493749i \(0.164374\pi\)
\(62\) 4.31006 + 3.11007i 0.547379 + 0.394979i
\(63\) 0.206697 + 0.132836i 0.0260413 + 0.0167358i
\(64\) 6.88785 4.06909i 0.860981 0.508637i
\(65\) −6.83526 10.6359i −0.847809 1.31922i
\(66\) −4.71139 + 2.68090i −0.579932 + 0.329996i
\(67\) 0.858092 + 2.92239i 0.104833 + 0.357027i 0.995157 0.0982999i \(-0.0313404\pi\)
−0.890324 + 0.455327i \(0.849522\pi\)
\(68\) 4.48932 10.8188i 0.544411 1.31197i
\(69\) 3.53496 3.24100i 0.425559 0.390171i
\(70\) 0.789122 + 0.157226i 0.0943181 + 0.0187921i
\(71\) −4.30935 14.6763i −0.511426 1.74176i −0.658450 0.752624i \(-0.728788\pi\)
0.147024 0.989133i \(-0.453030\pi\)
\(72\) 0.349829 + 2.80671i 0.0412277 + 0.330774i
\(73\) 8.82008 5.66832i 1.03231 0.663427i 0.0892386 0.996010i \(-0.471557\pi\)
0.943074 + 0.332583i \(0.107920\pi\)
\(74\) −0.0467384 + 0.866837i −0.00543323 + 0.100768i
\(75\) −0.304791 0.195877i −0.0351942 0.0226180i
\(76\) −6.44984 6.93642i −0.739848 0.795662i
\(77\) 0.711751 + 0.616736i 0.0811115 + 0.0702835i
\(78\) −7.28058 2.57103i −0.824363 0.291112i
\(79\) −2.27224 4.97551i −0.255647 0.559789i 0.737676 0.675155i \(-0.235923\pi\)
−0.993323 + 0.115366i \(0.963196\pi\)
\(80\) 4.42883 + 8.13525i 0.495158 + 0.909549i
\(81\) −0.959493 0.281733i −0.106610 0.0313036i
\(82\) 2.46569 + 10.4491i 0.272290 + 1.15391i
\(83\) 0.0564639 + 0.00811829i 0.00619772 + 0.000891098i 0.145413 0.989371i \(-0.453549\pi\)
−0.139215 + 0.990262i \(0.544458\pi\)
\(84\) 0.439563 0.219682i 0.0479603 0.0239693i
\(85\) 12.3364 + 5.63387i 1.33808 + 0.611079i
\(86\) −5.29683 + 5.48591i −0.571172 + 0.591561i
\(87\) 9.95580 1.43143i 1.06737 0.153465i
\(88\) −0.203796 + 10.8396i −0.0217248 + 1.15550i
\(89\) −12.4755 + 10.8101i −1.32240 + 1.14586i −0.344036 + 0.938956i \(0.611794\pi\)
−0.978361 + 0.206907i \(0.933660\pi\)
\(90\) −3.26190 + 0.290860i −0.343835 + 0.0306593i
\(91\) 1.34146i 0.140623i
\(92\) −1.96111 9.38904i −0.204460 0.978875i
\(93\) 3.75827i 0.389714i
\(94\) −0.940109 10.5430i −0.0969648 1.08743i
\(95\) 8.28809 7.18167i 0.850341 0.736824i
\(96\) 5.18320 + 2.26592i 0.529008 + 0.231265i
\(97\) −15.6973 + 2.25693i −1.59382 + 0.229156i −0.881320 0.472520i \(-0.843344\pi\)
−0.712496 + 0.701676i \(0.752435\pi\)
\(98\) 7.06024 + 6.81689i 0.713191 + 0.688610i
\(99\) −3.48666 1.59230i −0.350422 0.160032i
\(100\) −0.648171 + 0.323939i −0.0648171 + 0.0323939i
\(101\) −5.04761 0.725736i −0.502256 0.0722134i −0.113469 0.993541i \(-0.536196\pi\)
−0.388786 + 0.921328i \(0.627105\pi\)
\(102\) 8.06115 1.90221i 0.798172 0.188347i
\(103\) −10.7481 3.15593i −1.05904 0.310963i −0.294578 0.955628i \(-0.595179\pi\)
−0.764466 + 0.644664i \(0.776997\pi\)
\(104\) −11.8586 + 9.89146i −1.16283 + 0.969938i
\(105\) 0.236355 + 0.517545i 0.0230659 + 0.0505072i
\(106\) −4.10271 + 11.6180i −0.398491 + 1.12844i
\(107\) −5.42607 4.70172i −0.524558 0.454532i 0.351881 0.936045i \(-0.385542\pi\)
−0.876439 + 0.481512i \(0.840088\pi\)
\(108\) −1.46465 + 1.36191i −0.140936 + 0.131050i
\(109\) 4.48661 + 2.88337i 0.429739 + 0.276177i 0.737578 0.675262i \(-0.235969\pi\)
−0.307839 + 0.951439i \(0.599606\pi\)
\(110\) −12.5344 0.675835i −1.19511 0.0644383i
\(111\) −0.516392 + 0.331865i −0.0490138 + 0.0314992i
\(112\) 0.0713528 0.980210i 0.00674220 0.0926211i
\(113\) 0.779654 + 2.65526i 0.0733437 + 0.249786i 0.988002 0.154443i \(-0.0493582\pi\)
−0.914658 + 0.404228i \(0.867540\pi\)
\(114\) 1.30871 6.56845i 0.122571 0.615191i
\(115\) 10.9439 1.88811i 1.02052 0.176067i
\(116\) 7.70995 18.5802i 0.715851 1.72513i
\(117\) −1.53818 5.23856i −0.142205 0.484305i
\(118\) −3.69709 6.49723i −0.340345 0.598119i
\(119\) −0.777972 1.21055i −0.0713166 0.110971i
\(120\) −2.83235 + 5.90561i −0.258557 + 0.539106i
\(121\) −3.10607 1.99615i −0.282370 0.181468i
\(122\) 2.53770 3.51685i 0.229753 0.318401i
\(123\) −4.97140 + 5.73730i −0.448256 + 0.517315i
\(124\) 6.46190 + 3.83955i 0.580296 + 0.344802i
\(125\) 4.46129 + 9.76885i 0.399030 + 0.873753i
\(126\) 0.307843 + 0.161154i 0.0274248 + 0.0143567i
\(127\) −5.61388 + 19.1191i −0.498152 + 1.69655i 0.199318 + 0.979935i \(0.436127\pi\)
−0.697470 + 0.716614i \(0.745691\pi\)
\(128\) 9.19130 6.59698i 0.812403 0.583096i
\(129\) −5.33732 0.767390i −0.469924 0.0675649i
\(130\) −10.9642 14.1234i −0.961627 1.23870i
\(131\) −0.947155 + 2.07398i −0.0827533 + 0.181205i −0.946485 0.322747i \(-0.895394\pi\)
0.863732 + 0.503952i \(0.168121\pi\)
\(132\) −6.29984 + 4.36815i −0.548331 + 0.380199i
\(133\) −1.15177 + 0.165599i −0.0998709 + 0.0143593i
\(134\) 1.57580 + 4.00878i 0.136128 + 0.346306i
\(135\) −1.51644 1.75006i −0.130514 0.150621i
\(136\) 4.96487 15.8035i 0.425734 1.35514i
\(137\) 9.20415i 0.786364i −0.919461 0.393182i \(-0.871374\pi\)
0.919461 0.393182i \(-0.128626\pi\)
\(138\) 4.57234 5.00936i 0.389223 0.426425i
\(139\) −6.61670 −0.561221 −0.280611 0.959822i \(-0.590537\pi\)
−0.280611 + 0.959822i \(0.590537\pi\)
\(140\) 1.13132 + 0.122354i 0.0956144 + 0.0103408i
\(141\) 5.65651 4.90139i 0.476364 0.412772i
\(142\) −7.91368 20.1321i −0.664101 1.68945i
\(143\) −2.97827 20.7143i −0.249055 1.73222i
\(144\) 0.845315 + 3.90966i 0.0704429 + 0.325805i
\(145\) 21.1866 + 9.67558i 1.75945 + 0.803514i
\(146\) 11.7122 9.09239i 0.969310 0.752491i
\(147\) −0.987612 + 6.86900i −0.0814569 + 0.566545i
\(148\) 0.0430423 + 1.22692i 0.00353805 + 0.100852i
\(149\) 22.0587 + 6.47702i 1.80712 + 0.530618i 0.998345 0.0575008i \(-0.0183132\pi\)
0.808774 + 0.588119i \(0.200131\pi\)
\(150\) −0.453939 0.237634i −0.0370640 0.0194028i
\(151\) −11.0322 + 5.03826i −0.897791 + 0.410008i −0.810203 0.586149i \(-0.800643\pi\)
−0.0875883 + 0.996157i \(0.527916\pi\)
\(152\) −9.95666 8.96067i −0.807592 0.726807i
\(153\) 4.42615 + 3.83528i 0.357833 + 0.310064i
\(154\) 1.08005 + 0.779349i 0.0870333 + 0.0628018i
\(155\) −4.70514 + 7.32134i −0.377926 + 0.588064i
\(156\) −10.5785 2.70714i −0.846961 0.216745i
\(157\) −10.4133 + 6.69225i −0.831075 + 0.534099i −0.885619 0.464412i \(-0.846266\pi\)
0.0545445 + 0.998511i \(0.482629\pi\)
\(158\) −3.82568 6.72322i −0.304355 0.534871i
\(159\) −8.35941 + 2.45454i −0.662944 + 0.194658i
\(160\) 7.26039 + 10.9032i 0.573984 + 0.861976i
\(161\) −1.08516 0.459251i −0.0855226 0.0361941i
\(162\) −1.38695 0.276338i −0.108969 0.0217112i
\(163\) 4.03195 1.18389i 0.315807 0.0927293i −0.119988 0.992775i \(-0.538286\pi\)
0.435795 + 0.900046i \(0.356467\pi\)
\(164\) 4.78570 + 14.4091i 0.373700 + 1.12516i
\(165\) −4.79875 7.46700i −0.373582 0.581305i
\(166\) 0.0805562 + 0.00434346i 0.00625237 + 0.000337118i
\(167\) −4.94744 + 7.69837i −0.382845 + 0.595718i −0.978180 0.207759i \(-0.933383\pi\)
0.595335 + 0.803477i \(0.297019\pi\)
\(168\) 0.591586 0.364661i 0.0456419 0.0281342i
\(169\) 11.0072 12.7030i 0.846711 0.977157i
\(170\) 18.0851 + 6.38648i 1.38706 + 0.489821i
\(171\) 4.30791 1.96736i 0.329434 0.150448i
\(172\) −6.77219 + 8.39290i −0.516374 + 0.639953i
\(173\) −0.366594 + 1.24850i −0.0278716 + 0.0949220i −0.972254 0.233927i \(-0.924842\pi\)
0.944383 + 0.328849i \(0.106661\pi\)
\(174\) 13.8442 3.26684i 1.04953 0.247659i
\(175\) −0.0126687 + 0.0881128i −0.000957664 + 0.00666070i
\(176\) 1.07443 + 15.2945i 0.0809883 + 1.15286i
\(177\) 2.19586 4.80827i 0.165051 0.361412i
\(178\) −16.2155 + 16.7943i −1.21540 + 1.25879i
\(179\) −3.16016 21.9794i −0.236202 1.64282i −0.670400 0.742000i \(-0.733877\pi\)
0.434198 0.900817i \(-0.357032\pi\)
\(180\) −4.55826 + 0.819424i −0.339753 + 0.0610762i
\(181\) 4.29493 + 4.95661i 0.319240 + 0.368422i 0.892575 0.450898i \(-0.148896\pi\)
−0.573336 + 0.819321i \(0.694351\pi\)
\(182\) 0.168494 + 1.88961i 0.0124896 + 0.140067i
\(183\) 3.06661 0.226690
\(184\) −3.94178 12.9793i −0.290592 0.956847i
\(185\) −1.42144 −0.104506
\(186\) 0.472058 + 5.29399i 0.0346130 + 0.388174i
\(187\) 14.7008 + 16.9656i 1.07503 + 1.24065i
\(188\) −2.64852 14.7331i −0.193163 1.07452i
\(189\) 0.0349669 + 0.243200i 0.00254347 + 0.0176902i
\(190\) 10.7728 11.1573i 0.781538 0.809436i
\(191\) 3.18374 6.97143i 0.230368 0.504435i −0.758782 0.651344i \(-0.774205\pi\)
0.989150 + 0.146910i \(0.0469326\pi\)
\(192\) 7.58580 + 2.54080i 0.547458 + 0.183366i
\(193\) −1.59729 + 11.1094i −0.114975 + 0.799672i 0.847983 + 0.530023i \(0.177817\pi\)
−0.962959 + 0.269649i \(0.913092\pi\)
\(194\) −21.8281 + 5.15082i −1.56716 + 0.369807i
\(195\) 3.56191 12.1308i 0.255074 0.868702i
\(196\) 10.8015 + 8.71564i 0.771533 + 0.622546i
\(197\) 15.8981 7.26042i 1.13269 0.517284i 0.241271 0.970458i \(-0.422436\pi\)
0.891422 + 0.453174i \(0.149708\pi\)
\(198\) −5.11139 1.80501i −0.363251 0.128277i
\(199\) −12.5895 + 14.5290i −0.892444 + 1.02994i 0.106919 + 0.994268i \(0.465901\pi\)
−0.999364 + 0.0356681i \(0.988644\pi\)
\(200\) −0.872341 + 0.537722i −0.0616839 + 0.0380227i
\(201\) −1.64667 + 2.56226i −0.116147 + 0.180728i
\(202\) −7.20134 0.388284i −0.506684 0.0273196i
\(203\) −1.33609 2.07899i −0.0937749 0.145917i
\(204\) 11.1162 3.69202i 0.778290 0.258493i
\(205\) −16.8674 + 4.95271i −1.17807 + 0.345912i
\(206\) −15.5365 3.09550i −1.08248 0.215674i
\(207\) 4.76429 + 0.549137i 0.331141 + 0.0381676i
\(208\) −15.4619 + 15.4229i −1.07209 + 1.06938i
\(209\) 17.4175 5.11424i 1.20479 0.353760i
\(210\) 0.397942 + 0.699339i 0.0274606 + 0.0482590i
\(211\) −15.2536 + 9.80288i −1.05010 + 0.674858i −0.947465 0.319861i \(-0.896364\pi\)
−0.102635 + 0.994719i \(0.532727\pi\)
\(212\) −4.31991 + 16.8807i −0.296693 + 1.15937i
\(213\) 8.26959 12.8677i 0.566623 0.881682i
\(214\) −8.23386 5.94141i −0.562855 0.406147i
\(215\) −9.43669 8.17694i −0.643577 0.557663i
\(216\) −1.89208 + 2.10239i −0.128740 + 0.143049i
\(217\) 0.839964 0.383599i 0.0570204 0.0260404i
\(218\) 6.68212 + 3.49805i 0.452570 + 0.236918i
\(219\) 10.0598 + 2.95381i 0.679775 + 0.199600i
\(220\) −17.7412 + 0.622389i −1.19611 + 0.0419614i
\(221\) −4.55060 + 31.6501i −0.306107 + 2.12902i
\(222\) −0.685719 + 0.532335i −0.0460224 + 0.0357280i
\(223\) 0.259914 + 0.118699i 0.0174051 + 0.00794866i 0.424099 0.905616i \(-0.360591\pi\)
−0.406693 + 0.913565i \(0.633318\pi\)
\(224\) −0.0226102 1.38971i −0.00151071 0.0928539i
\(225\) −0.0515615 0.358618i −0.00343743 0.0239079i
\(226\) 1.43175 + 3.64233i 0.0952389 + 0.242284i
\(227\) −6.25148 + 5.41694i −0.414925 + 0.359535i −0.837166 0.546949i \(-0.815789\pi\)
0.422241 + 0.906484i \(0.361244\pi\)
\(228\) 1.01844 9.41685i 0.0674481 0.623646i
\(229\) −6.86772 −0.453832 −0.226916 0.973914i \(-0.572864\pi\)
−0.226916 + 0.973914i \(0.572864\pi\)
\(230\) 15.1786 4.03424i 1.00085 0.266010i
\(231\) 0.941781i 0.0619647i
\(232\) 8.52666 27.1410i 0.559802 1.78189i
\(233\) −6.26603 7.23139i −0.410502 0.473744i 0.512418 0.858736i \(-0.328750\pi\)
−0.922920 + 0.384992i \(0.874204\pi\)
\(234\) −2.82471 7.18596i −0.184657 0.469761i
\(235\) 17.1555 2.46659i 1.11910 0.160902i
\(236\) −6.02390 8.68779i −0.392122 0.565527i
\(237\) 2.27224 4.97551i 0.147598 0.323194i
\(238\) −1.24792 1.60749i −0.0808908 0.104198i
\(239\) 18.8926 + 2.71635i 1.22206 + 0.175706i 0.722993 0.690855i \(-0.242766\pi\)
0.499070 + 0.866561i \(0.333675\pi\)
\(240\) −3.24795 + 8.67455i −0.209654 + 0.559939i
\(241\) −2.54752 + 8.67604i −0.164100 + 0.558873i 0.835851 + 0.548957i \(0.184975\pi\)
−0.999951 + 0.00991652i \(0.996843\pi\)
\(242\) −4.62601 2.42169i −0.297371 0.155672i
\(243\) −0.415415 0.909632i −0.0266489 0.0583529i
\(244\) 3.13293 5.27267i 0.200565 0.337548i
\(245\) −10.5235 + 12.1448i −0.672323 + 0.775902i
\(246\) −6.28220 + 8.70614i −0.400539 + 0.555083i
\(247\) 21.7520 + 13.9791i 1.38404 + 0.889471i
\(248\) 9.58467 + 4.59684i 0.608627 + 0.291900i
\(249\) 0.0308406 + 0.0479889i 0.00195444 + 0.00304117i
\(250\) 7.51130 + 13.2003i 0.475056 + 0.834860i
\(251\) 2.65594 + 9.04530i 0.167641 + 0.570934i 0.999864 + 0.0164924i \(0.00524994\pi\)
−0.832223 + 0.554442i \(0.812932\pi\)
\(252\) 0.453877 + 0.188339i 0.0285916 + 0.0118642i
\(253\) 17.7763 + 4.68235i 1.11758 + 0.294377i
\(254\) −5.50639 + 27.6368i −0.345502 + 1.73409i
\(255\) 3.82086 + 13.0127i 0.239272 + 0.814884i
\(256\) 12.1185 10.4471i 0.757404 0.652946i
\(257\) 16.8486 10.8279i 1.05098 0.675426i 0.103304 0.994650i \(-0.467058\pi\)
0.947679 + 0.319223i \(0.103422\pi\)
\(258\) −7.61466 0.410570i −0.474068 0.0255610i
\(259\) 0.126878 + 0.0815395i 0.00788381 + 0.00506662i
\(260\) −17.2185 18.5174i −1.06784 1.14840i
\(261\) 7.60146 + 6.58670i 0.470519 + 0.407707i
\(262\) −1.07368 + 3.04043i −0.0663324 + 0.187838i
\(263\) 4.39390 + 9.62131i 0.270940 + 0.593275i 0.995375 0.0960678i \(-0.0306266\pi\)
−0.724435 + 0.689343i \(0.757899\pi\)
\(264\) −8.32545 + 6.94438i −0.512396 + 0.427397i
\(265\) −19.3576 5.68390i −1.18913 0.349159i
\(266\) −1.60161 + 0.377935i −0.0982008 + 0.0231727i
\(267\) −16.3394 2.34925i −0.999954 0.143772i
\(268\) 2.72323 + 5.44893i 0.166348 + 0.332847i
\(269\) −11.8601 5.41632i −0.723123 0.330239i 0.0196279 0.999807i \(-0.493752\pi\)
−0.742750 + 0.669568i \(0.766479\pi\)
\(270\) −2.35591 2.27471i −0.143376 0.138434i
\(271\) 7.53634 1.08356i 0.457800 0.0658217i 0.0904429 0.995902i \(-0.471172\pi\)
0.367357 + 0.930080i \(0.380263\pi\)
\(272\) 5.00863 22.8849i 0.303693 1.38760i
\(273\) −1.01381 + 0.878468i −0.0613583 + 0.0531673i
\(274\) −1.15609 12.9652i −0.0698419 0.783256i
\(275\) 1.38873i 0.0837437i
\(276\) 5.81151 7.63062i 0.349812 0.459309i
\(277\) 2.35003i 0.141200i −0.997505 0.0705999i \(-0.977509\pi\)
0.997505 0.0705999i \(-0.0224914\pi\)
\(278\) −9.32045 + 0.831092i −0.559003 + 0.0498456i
\(279\) −2.84031 + 2.46114i −0.170045 + 0.147345i
\(280\) 1.60898 + 0.0302507i 0.0961550 + 0.00180783i
\(281\) 31.7278 4.56178i 1.89272 0.272133i 0.904656 0.426144i \(-0.140128\pi\)
0.988069 + 0.154011i \(0.0492191\pi\)
\(282\) 7.35226 7.61471i 0.437821 0.453449i
\(283\) −6.61258 3.01986i −0.393077 0.179512i 0.209064 0.977902i \(-0.432958\pi\)
−0.602141 + 0.798390i \(0.705686\pi\)
\(284\) −13.6761 27.3646i −0.811527 1.62379i
\(285\) 10.8551 + 1.56073i 0.643000 + 0.0924495i
\(286\) −6.79709 28.8046i −0.401920 1.70325i
\(287\) 1.78969 + 0.525501i 0.105642 + 0.0310194i
\(288\) 1.68180 + 5.40107i 0.0991013 + 0.318261i
\(289\) −7.18678 15.7368i −0.422752 0.925697i
\(290\) 31.0592 + 10.9681i 1.82386 + 0.644070i
\(291\) −11.9852 10.3852i −0.702585 0.608793i
\(292\) 15.3561 14.2789i 0.898646 0.835608i
\(293\) −5.28346 3.39547i −0.308663 0.198366i 0.377134 0.926159i \(-0.376910\pi\)
−0.685797 + 0.727793i \(0.740546\pi\)
\(294\) −0.528394 + 9.79989i −0.0308166 + 0.571541i
\(295\) 10.2974 6.61771i 0.599535 0.385298i
\(296\) 0.214738 + 1.72286i 0.0124814 + 0.100139i
\(297\) −1.07989 3.67777i −0.0626617 0.213406i
\(298\) 31.8860 + 6.35300i 1.84711 + 0.368020i
\(299\) 11.5408 + 23.5033i 0.667421 + 1.35923i
\(300\) −0.669278 0.277720i −0.0386408 0.0160342i
\(301\) 0.373259 + 1.27120i 0.0215143 + 0.0732709i
\(302\) −14.9075 + 8.48272i −0.857828 + 0.488126i
\(303\) −2.75700 4.28998i −0.158386 0.246453i
\(304\) −15.1507 11.3716i −0.868952 0.652207i
\(305\) 5.97394 + 3.83922i 0.342067 + 0.219833i
\(306\) 6.71652 + 4.84653i 0.383958 + 0.277058i
\(307\) 17.6507 20.3700i 1.00738 1.16258i 0.0207169 0.999785i \(-0.493405\pi\)
0.986661 0.162790i \(-0.0520494\pi\)
\(308\) 1.61928 + 0.962150i 0.0922672 + 0.0548236i
\(309\) −4.65343 10.1896i −0.264724 0.579665i
\(310\) −5.70818 + 10.9040i −0.324203 + 0.619306i
\(311\) −2.86856 + 9.76941i −0.162661 + 0.553973i 0.837313 + 0.546724i \(0.184125\pi\)
−0.999974 + 0.00724833i \(0.997693\pi\)
\(312\) −15.2412 2.48463i −0.862864 0.140664i
\(313\) −8.32160 1.19647i −0.470365 0.0676282i −0.0969430 0.995290i \(-0.530906\pi\)
−0.373422 + 0.927662i \(0.621816\pi\)
\(314\) −13.8279 + 10.7348i −0.780354 + 0.605802i
\(315\) −0.236355 + 0.517545i −0.0133171 + 0.0291604i
\(316\) −6.23342 8.98997i −0.350657 0.505725i
\(317\) −17.8163 + 2.56160i −1.00066 + 0.143874i −0.623126 0.782121i \(-0.714138\pi\)
−0.377536 + 0.925995i \(0.623229\pi\)
\(318\) −11.4670 + 4.50752i −0.643036 + 0.252769i
\(319\) 25.2471 + 29.1367i 1.41357 + 1.63134i
\(320\) 11.5967 + 14.4466i 0.648273 + 0.807591i
\(321\) 7.17972i 0.400733i
\(322\) −1.58627 0.510611i −0.0883993 0.0284552i
\(323\) −27.7364 −1.54329
\(324\) −1.98840 0.215048i −0.110467 0.0119471i
\(325\) 1.49494 1.29537i 0.0829243 0.0718543i
\(326\) 5.53081 2.17409i 0.306323 0.120412i
\(327\) 0.759000 + 5.27896i 0.0419728 + 0.291927i
\(328\) 8.55111 + 19.6959i 0.472156 + 1.08753i
\(329\) −1.67280 0.763940i −0.0922242 0.0421174i
\(330\) −7.69753 9.91545i −0.423735 0.545827i
\(331\) −0.544538 + 3.78734i −0.0299305 + 0.208171i −0.999299 0.0374402i \(-0.988080\pi\)
0.969368 + 0.245611i \(0.0789887\pi\)
\(332\) 0.114019 0.00399997i 0.00625760 0.000219527i
\(333\) −0.588972 0.172938i −0.0322755 0.00947693i
\(334\) −6.00214 + 11.4655i −0.328422 + 0.627367i
\(335\) −6.41562 + 2.92992i −0.350523 + 0.160078i
\(336\) 0.787519 0.587976i 0.0429627 0.0320767i
\(337\) −3.82404 3.31355i −0.208309 0.180500i 0.544458 0.838788i \(-0.316736\pi\)
−0.752766 + 0.658288i \(0.771281\pi\)
\(338\) 13.9095 19.2764i 0.756578 1.04850i
\(339\) −1.49615 + 2.32805i −0.0812595 + 0.126442i
\(340\) 26.2772 + 6.72458i 1.42508 + 0.364691i
\(341\) −12.1188 + 7.78825i −0.656268 + 0.421758i
\(342\) 5.82112 3.31236i 0.314770 0.179112i
\(343\) 3.28624 0.964928i 0.177440 0.0521012i
\(344\) −8.48528 + 12.6731i −0.457496 + 0.683286i
\(345\) 8.59364 + 7.03437i 0.462666 + 0.378718i
\(346\) −0.359575 + 1.80472i −0.0193308 + 0.0970223i
\(347\) 21.6332 6.35207i 1.16133 0.340997i 0.356380 0.934341i \(-0.384011\pi\)
0.804949 + 0.593344i \(0.202193\pi\)
\(348\) 19.0909 6.34066i 1.02338 0.339895i
\(349\) 7.37582 + 11.4770i 0.394818 + 0.614350i 0.980577 0.196136i \(-0.0628395\pi\)
−0.585758 + 0.810486i \(0.699203\pi\)
\(350\) −0.00677803 + 0.125709i −0.000362301 + 0.00671943i
\(351\) 2.95175 4.59301i 0.157553 0.245157i
\(352\) 3.43454 + 21.4092i 0.183061 + 1.14111i
\(353\) −20.8656 + 24.0802i −1.11057 + 1.28166i −0.154667 + 0.987967i \(0.549430\pi\)
−0.955899 + 0.293695i \(0.905115\pi\)
\(354\) 2.48920 7.04886i 0.132300 0.374643i
\(355\) 32.2193 14.7141i 1.71002 0.780942i
\(356\) −20.7320 + 25.6936i −1.09880 + 1.36176i
\(357\) 0.405408 1.38069i 0.0214565 0.0730740i
\(358\) −7.21221 30.5638i −0.381177 1.61535i
\(359\) −1.97633 + 13.7456i −0.104306 + 0.725467i 0.868809 + 0.495148i \(0.164886\pi\)
−0.973115 + 0.230319i \(0.926023\pi\)
\(360\) −6.31796 + 1.72680i −0.332986 + 0.0910105i
\(361\) −1.42429 + 3.11876i −0.0749626 + 0.164145i
\(362\) 6.67252 + 6.44254i 0.350700 + 0.338612i
\(363\) −0.525453 3.65461i −0.0275792 0.191817i
\(364\) 0.474690 + 2.64059i 0.0248805 + 0.138404i
\(365\) 15.8990 + 18.3485i 0.832193 + 0.960402i
\(366\) 4.31970 0.385182i 0.225794 0.0201338i
\(367\) 6.60690 0.344877 0.172439 0.985020i \(-0.444835\pi\)
0.172439 + 0.985020i \(0.444835\pi\)
\(368\) −7.18276 17.7879i −0.374427 0.927256i
\(369\) −7.59154 −0.395200
\(370\) −2.00228 + 0.178540i −0.104093 + 0.00928186i
\(371\) 1.40181 + 1.61778i 0.0727784 + 0.0839908i
\(372\) 1.32991 + 7.39795i 0.0689524 + 0.383566i
\(373\) −5.13674 35.7268i −0.265970 1.84986i −0.485473 0.874252i \(-0.661352\pi\)
0.219502 0.975612i \(-0.429557\pi\)
\(374\) 22.8389 + 22.0517i 1.18097 + 1.14027i
\(375\) −4.46129 + 9.76885i −0.230380 + 0.504461i
\(376\) −5.58133 20.4207i −0.287835 1.05312i
\(377\) −7.81519 + 54.3559i −0.402503 + 2.79947i
\(378\) 0.0798024 + 0.338185i 0.00410459 + 0.0173944i
\(379\) 2.66267 9.06822i 0.136772 0.465803i −0.862411 0.506208i \(-0.831047\pi\)
0.999183 + 0.0404050i \(0.0128648\pi\)
\(380\) 13.7734 17.0696i 0.706558 0.875651i
\(381\) −18.1256 + 8.27768i −0.928602 + 0.424078i
\(382\) 3.60905 10.2200i 0.184655 0.522902i
\(383\) 15.3049 17.6628i 0.782044 0.902527i −0.215211 0.976568i \(-0.569044\pi\)
0.997255 + 0.0740403i \(0.0235894\pi\)
\(384\) 11.0047 + 2.62622i 0.561580 + 0.134019i
\(385\) −1.17906 + 1.83465i −0.0600903 + 0.0935023i
\(386\) −0.854584 + 15.8496i −0.0434972 + 0.806723i
\(387\) −2.91524 4.53621i −0.148190 0.230588i
\(388\) −30.1006 + 9.99729i −1.52813 + 0.507536i
\(389\) −3.60626 + 1.05889i −0.182844 + 0.0536880i −0.371873 0.928284i \(-0.621284\pi\)
0.189029 + 0.981972i \(0.439466\pi\)
\(390\) 3.49371 17.5351i 0.176911 0.887923i
\(391\) −24.0452 14.5167i −1.21602 0.734140i
\(392\) 16.3099 + 10.9203i 0.823776 + 0.551561i
\(393\) −2.18766 + 0.642356i −0.110353 + 0.0324026i
\(394\) 21.4825 12.2241i 1.08227 0.615841i
\(395\) 10.6555 6.84789i 0.536137 0.344555i
\(396\) −7.42675 1.90057i −0.373208 0.0955072i
\(397\) 1.31518 2.04646i 0.0660070 0.102709i −0.806681 0.590987i \(-0.798738\pi\)
0.872688 + 0.488278i \(0.162375\pi\)
\(398\) −15.9089 + 22.0473i −0.797442 + 1.10513i
\(399\) −0.879398 0.762003i −0.0440250 0.0381479i
\(400\) −1.16126 + 0.867019i −0.0580631 + 0.0433509i
\(401\) 15.8212 7.22529i 0.790072 0.360814i 0.0208394 0.999783i \(-0.493366\pi\)
0.769232 + 0.638969i \(0.220639\pi\)
\(402\) −1.99770 + 3.81610i −0.0996363 + 0.190330i
\(403\) −19.6879 5.78090i −0.980726 0.287967i
\(404\) −10.1928 + 0.357578i −0.507108 + 0.0177902i
\(405\) 0.329554 2.29210i 0.0163756 0.113895i
\(406\) −2.14318 2.76070i −0.106364 0.137011i
\(407\) −2.14024 0.977413i −0.106088 0.0484486i
\(408\) 15.1948 6.59692i 0.752256 0.326596i
\(409\) 1.30062 + 9.04602i 0.0643116 + 0.447297i 0.996380 + 0.0850140i \(0.0270935\pi\)
−0.932068 + 0.362283i \(0.881997\pi\)
\(410\) −23.1377 + 9.09514i −1.14269 + 0.449177i
\(411\) 6.95603 6.02744i 0.343116 0.297312i
\(412\) −22.2739 2.40894i −1.09735 0.118680i
\(413\) −1.29876 −0.0639079
\(414\) 6.78007 + 0.175108i 0.333222 + 0.00860610i
\(415\) 0.132096i 0.00648434i
\(416\) −19.8429 + 23.6671i −0.972877 + 1.16038i
\(417\) −4.33302 5.00057i −0.212189 0.244879i
\(418\) 23.8924 9.39178i 1.16861 0.459367i
\(419\) 9.44017 1.35729i 0.461183 0.0663080i 0.0921921 0.995741i \(-0.470613\pi\)
0.368990 + 0.929433i \(0.379704\pi\)
\(420\) 0.648391 + 0.935123i 0.0316383 + 0.0456293i
\(421\) 6.94145 15.1997i 0.338306 0.740786i −0.661654 0.749810i \(-0.730145\pi\)
0.999959 + 0.00902344i \(0.00287229\pi\)
\(422\) −20.2553 + 15.7245i −0.986012 + 0.765457i
\(423\) 7.40845 + 1.06517i 0.360211 + 0.0517906i
\(424\) −3.96483 + 24.3211i −0.192549 + 1.18114i
\(425\) −0.597807 + 2.03594i −0.0289979 + 0.0987578i
\(426\) 10.0325 19.1645i 0.486076 0.928523i
\(427\) −0.313002 0.685379i −0.0151472 0.0331678i
\(428\) −12.3447 7.33501i −0.596703 0.354551i
\(429\) 13.7045 15.8158i 0.661658 0.763595i
\(430\) −14.3198 10.3329i −0.690563 0.498299i
\(431\) 23.9841 + 15.4137i 1.15528 + 0.742450i 0.970683 0.240365i \(-0.0772671\pi\)
0.184593 + 0.982815i \(0.440903\pi\)
\(432\) −2.40116 + 3.19913i −0.115526 + 0.153918i
\(433\) −7.70302 11.9861i −0.370184 0.576017i 0.605325 0.795979i \(-0.293043\pi\)
−0.975509 + 0.219961i \(0.929407\pi\)
\(434\) 1.13501 0.645850i 0.0544823 0.0310018i
\(435\) 6.56194 + 22.3479i 0.314621 + 1.07150i
\(436\) 9.85197 + 4.08812i 0.471824 + 0.195786i
\(437\) −18.7551 + 12.8103i −0.897179 + 0.612798i
\(438\) 14.5414 + 2.89725i 0.694817 + 0.138436i
\(439\) 6.40785 + 21.8231i 0.305830 + 1.04156i 0.958777 + 0.284158i \(0.0917141\pi\)
−0.652947 + 0.757403i \(0.726468\pi\)
\(440\) −24.9125 + 3.10509i −1.18765 + 0.148030i
\(441\) −5.83799 + 3.75185i −0.277999 + 0.178659i
\(442\) −2.43467 + 45.1548i −0.115805 + 2.14779i
\(443\) −7.07225 4.54506i −0.336013 0.215942i 0.361743 0.932278i \(-0.382182\pi\)
−0.697756 + 0.716336i \(0.745818\pi\)
\(444\) −0.899056 + 0.835990i −0.0426673 + 0.0396743i
\(445\) −28.8890 25.0325i −1.36947 1.18665i
\(446\) 0.381030 + 0.134555i 0.0180423 + 0.00637139i
\(447\) 9.55038 + 20.9124i 0.451717 + 0.989123i
\(448\) −0.206404 1.95474i −0.00975168 0.0923528i
\(449\) 14.5361 + 4.26818i 0.686000 + 0.201428i 0.606116 0.795376i \(-0.292727\pi\)
0.0798844 + 0.996804i \(0.474545\pi\)
\(450\) −0.117675 0.498682i −0.00554726 0.0235081i
\(451\) −28.8025 4.14117i −1.35626 0.195000i
\(452\) 2.47430 + 4.95084i 0.116381 + 0.232868i
\(453\) −11.0322 5.03826i −0.518340 0.236718i
\(454\) −8.12559 + 8.41565i −0.381353 + 0.394966i
\(455\) −3.07475 + 0.442082i −0.144146 + 0.0207251i
\(456\) 0.251799 13.3927i 0.0117916 0.627172i
\(457\) 1.87103 1.62126i 0.0875233 0.0758394i −0.610000 0.792401i \(-0.708831\pi\)
0.697524 + 0.716562i \(0.254285\pi\)
\(458\) −9.67404 + 0.862621i −0.452038 + 0.0403076i
\(459\) 5.85664i 0.273365i
\(460\) 20.8743 7.58924i 0.973268 0.353850i
\(461\) 2.76849i 0.128941i 0.997920 + 0.0644707i \(0.0205359\pi\)
−0.997920 + 0.0644707i \(0.979464\pi\)
\(462\) 0.118293 + 1.32662i 0.00550347 + 0.0617198i
\(463\) 7.58995 6.57673i 0.352735 0.305647i −0.460412 0.887706i \(-0.652298\pi\)
0.813147 + 0.582059i \(0.197753\pi\)
\(464\) 8.60181 39.3024i 0.399329 1.82457i
\(465\) −8.61431 + 1.23855i −0.399479 + 0.0574364i
\(466\) −9.73479 9.39927i −0.450955 0.435413i
\(467\) 32.1428 + 14.6791i 1.48739 + 0.679269i 0.982899 0.184146i \(-0.0589519\pi\)
0.504494 + 0.863415i \(0.331679\pi\)
\(468\) −4.88155 9.76753i −0.225650 0.451504i
\(469\) 0.740731 + 0.106501i 0.0342038 + 0.00491776i
\(470\) 23.8558 5.62931i 1.10039 0.259661i
\(471\) −11.8769 3.48739i −0.547261 0.160690i
\(472\) −9.57664 11.4812i −0.440801 0.528465i
\(473\) −8.58601 18.8007i −0.394785 0.864459i
\(474\) 2.57578 7.29403i 0.118310 0.335026i
\(475\) 1.29674 + 1.12364i 0.0594987 + 0.0515559i
\(476\) −1.95976 2.10761i −0.0898256 0.0966020i
\(477\) −7.32927 4.71024i −0.335584 0.215667i
\(478\) 26.9538 + 1.45331i 1.23284 + 0.0664727i
\(479\) 3.93364 2.52799i 0.179732 0.115507i −0.447681 0.894193i \(-0.647750\pi\)
0.627413 + 0.778686i \(0.284114\pi\)
\(480\) −3.48557 + 12.6271i −0.159094 + 0.576347i
\(481\) −0.944191 3.21562i −0.0430514 0.146620i
\(482\) −2.49874 + 12.5413i −0.113814 + 0.571239i
\(483\) −0.363550 1.12086i −0.0165421 0.0510007i
\(484\) −6.82049 2.83020i −0.310022 0.128645i
\(485\) −10.3462 35.2359i −0.469796 1.59998i
\(486\) −0.699418 1.22915i −0.0317263 0.0557555i
\(487\) −0.391580 0.609311i −0.0177442 0.0276105i 0.832268 0.554373i \(-0.187042\pi\)
−0.850012 + 0.526763i \(0.823406\pi\)
\(488\) 3.75085 7.82073i 0.169793 0.354028i
\(489\) 3.53509 + 2.27186i 0.159862 + 0.102737i
\(490\) −13.2982 + 18.4293i −0.600753 + 0.832549i
\(491\) 11.7670 13.5799i 0.531038 0.612851i −0.425321 0.905042i \(-0.639839\pi\)
0.956360 + 0.292191i \(0.0943844\pi\)
\(492\) −7.75573 + 13.0528i −0.349655 + 0.588464i
\(493\) −24.4709 53.5838i −1.10211 2.41329i
\(494\) 32.3962 + 16.9592i 1.45757 + 0.763030i
\(495\) 2.50067 8.51649i 0.112397 0.382788i
\(496\) 14.0786 + 5.27134i 0.632147 + 0.236690i
\(497\) −3.71996 0.534850i −0.166863 0.0239913i
\(498\) 0.0494705 + 0.0637246i 0.00221683 + 0.00285557i
\(499\) −15.6642 + 34.2999i −0.701227 + 1.53547i 0.137249 + 0.990537i \(0.456174\pi\)
−0.838477 + 0.544937i \(0.816553\pi\)
\(500\) 12.2386 + 17.6508i 0.547328 + 0.789367i
\(501\) −9.05793 + 1.30233i −0.404678 + 0.0581840i
\(502\) 4.87736 + 12.4078i 0.217687 + 0.553788i
\(503\) −23.9448 27.6337i −1.06764 1.23213i −0.971570 0.236754i \(-0.923917\pi\)
−0.0960750 0.995374i \(-0.530629\pi\)
\(504\) 0.662999 + 0.208289i 0.0295323 + 0.00927793i
\(505\) 11.8088i 0.525483i
\(506\) 25.6282 + 4.36288i 1.13931 + 0.193954i
\(507\) 16.8085 0.746493
\(508\) −4.28511 + 39.6215i −0.190121 + 1.75792i
\(509\) −11.1005 + 9.61865i −0.492022 + 0.426339i −0.865205 0.501419i \(-0.832812\pi\)
0.373183 + 0.927758i \(0.378266\pi\)
\(510\) 7.01662 + 17.8500i 0.310701 + 0.790413i
\(511\) −0.366609 2.54982i −0.0162178 0.112797i
\(512\) 15.7582 16.2382i 0.696419 0.717635i
\(513\) 4.30791 + 1.96736i 0.190199 + 0.0868609i
\(514\) 22.3732 17.3687i 0.986842 0.766102i
\(515\) 3.69162 25.6758i 0.162672 1.13141i
\(516\) −10.7778 + 0.378102i −0.474465 + 0.0166450i
\(517\) 27.5268 + 8.08260i 1.21063 + 0.355472i
\(518\) 0.188965 + 0.0989221i 0.00830266 + 0.00434639i
\(519\) −1.18362 + 0.540543i −0.0519553 + 0.0237272i
\(520\) −26.5802 23.9214i −1.16562 1.04902i
\(521\) −26.9410 23.3445i −1.18031 1.02274i −0.999228 0.0392736i \(-0.987496\pi\)
−0.181079 0.983469i \(-0.557959\pi\)
\(522\) 11.5349 + 8.32341i 0.504870 + 0.364306i
\(523\) −3.78195 + 5.88483i −0.165373 + 0.257325i −0.914043 0.405618i \(-0.867056\pi\)
0.748670 + 0.662943i \(0.230693\pi\)
\(524\) −1.13052 + 4.41768i −0.0493871 + 0.192987i
\(525\) −0.0748874 + 0.0481272i −0.00326836 + 0.00210044i
\(526\) 7.39785 + 13.0009i 0.322561 + 0.566867i
\(527\) 21.1192 6.20117i 0.919969 0.270127i
\(528\) −10.8552 + 10.8277i −0.472411 + 0.471217i
\(529\) −22.9638 + 1.28939i −0.998427 + 0.0560606i
\(530\) −27.9815 5.57507i −1.21544 0.242166i
\(531\) 5.07183 1.48922i 0.220099 0.0646268i
\(532\) −2.20859 + 0.733538i −0.0957546 + 0.0318029i
\(533\) −22.4083 34.8680i −0.970612 1.51030i
\(534\) −23.3111 1.25690i −1.00877 0.0543913i
\(535\) 8.98861 13.9865i 0.388611 0.604691i
\(536\) 4.52042 + 7.33345i 0.195253 + 0.316757i
\(537\) 14.5415 16.7817i 0.627510 0.724185i
\(538\) −17.3867 6.13988i −0.749595 0.264709i
\(539\) −24.1961 + 11.0500i −1.04220 + 0.475957i
\(540\) −3.60431 2.90830i −0.155105 0.125153i
\(541\) 8.95509 30.4982i 0.385009 1.31122i −0.508067 0.861317i \(-0.669640\pi\)
0.893077 0.449904i \(-0.148542\pi\)
\(542\) 10.4798 2.47294i 0.450145 0.106222i
\(543\) −0.933377 + 6.49178i −0.0400551 + 0.278589i
\(544\) 4.18083 32.8653i 0.179252 1.40909i
\(545\) −5.13038 + 11.2340i −0.219761 + 0.481210i
\(546\) −1.31773 + 1.36477i −0.0563937 + 0.0584068i
\(547\) 1.84641 + 12.8421i 0.0789467 + 0.549087i 0.990458 + 0.137812i \(0.0440071\pi\)
−0.911512 + 0.411274i \(0.865084\pi\)
\(548\) −3.25699 18.1179i −0.139132 0.773957i
\(549\) 2.00820 + 2.31759i 0.0857079 + 0.0989122i
\(550\) −0.174432 1.95620i −0.00743781 0.0834128i
\(551\) −47.6344 −2.02929
\(552\) 7.22779 11.4786i 0.307635 0.488563i
\(553\) −1.34394 −0.0571500
\(554\) −0.295176 3.31031i −0.0125408 0.140642i
\(555\) −0.930845 1.07425i −0.0395122 0.0455995i
\(556\) −13.0246 + 2.34139i −0.552367 + 0.0992972i
\(557\) 2.22989 + 15.5092i 0.0944835 + 0.657147i 0.980937 + 0.194328i \(0.0622528\pi\)
−0.886453 + 0.462819i \(0.846838\pi\)
\(558\) −3.69180 + 3.82359i −0.156286 + 0.161865i
\(559\) 12.2298 26.7795i 0.517264 1.13265i
\(560\) 2.27025 0.159484i 0.0959355 0.00673944i
\(561\) −3.19479 + 22.2202i −0.134884 + 0.938139i
\(562\) 44.1196 10.4110i 1.86107 0.439162i
\(563\) −0.264712 + 0.901527i −0.0111563 + 0.0379948i −0.964883 0.262680i \(-0.915394\pi\)
0.953727 + 0.300675i \(0.0972119\pi\)
\(564\) 9.40012 11.6497i 0.395817 0.490543i
\(565\) −5.82917 + 2.66209i −0.245235 + 0.111995i
\(566\) −9.69395 3.42328i −0.407467 0.143891i
\(567\) −0.160900 + 0.185688i −0.00675716 + 0.00779818i
\(568\) −22.7016 36.8287i −0.952539 1.54530i
\(569\) −13.3941 + 20.8417i −0.561511 + 0.873728i −0.999683 0.0251630i \(-0.991990\pi\)
0.438173 + 0.898891i \(0.355626\pi\)
\(570\) 15.4868 + 0.835022i 0.648670 + 0.0349752i
\(571\) −21.1207 32.8644i −0.883872 1.37533i −0.926521 0.376242i \(-0.877216\pi\)
0.0426490 0.999090i \(-0.486420\pi\)
\(572\) −13.1925 39.7211i −0.551608 1.66082i
\(573\) 7.35356 2.15920i 0.307200 0.0902019i
\(574\) 2.58701 + 0.515439i 0.107980 + 0.0215140i
\(575\) 0.536084 + 1.65279i 0.0223562 + 0.0689262i
\(576\) 3.04743 + 7.39683i 0.126976 + 0.308201i
\(577\) 1.40373 0.412173i 0.0584382 0.0171590i −0.252383 0.967627i \(-0.581214\pi\)
0.310821 + 0.950468i \(0.399396\pi\)
\(578\) −12.1001 21.2646i −0.503298 0.884491i
\(579\) −9.44192 + 6.06796i −0.392393 + 0.252176i
\(580\) 45.1285 + 11.5488i 1.87386 + 0.479537i
\(581\) 0.00757757 0.0117909i 0.000314370 0.000489170i
\(582\) −18.1871 13.1235i −0.753879 0.543986i
\(583\) −25.2380 21.8689i −1.04525 0.905716i
\(584\) 19.8374 22.0424i 0.820879 0.912120i
\(585\) 11.5004 5.25204i 0.475482 0.217145i
\(586\) −7.86890 4.11932i −0.325061 0.170167i
\(587\) −43.8926 12.8880i −1.81164 0.531946i −0.812913 0.582384i \(-0.802120\pi\)
−0.998727 + 0.0504388i \(0.983938\pi\)
\(588\) 0.486608 + 13.8707i 0.0200674 + 0.572019i
\(589\) 2.53302 17.6176i 0.104371 0.725919i
\(590\) 13.6739 10.6153i 0.562945 0.437024i
\(591\) 15.8981 + 7.26042i 0.653961 + 0.298654i
\(592\) 0.518885 + 2.39989i 0.0213260 + 0.0986349i
\(593\) 1.70202 + 11.8378i 0.0698937 + 0.486121i 0.994461 + 0.105103i \(0.0335173\pi\)
−0.924568 + 0.381018i \(0.875574\pi\)
\(594\) −1.98311 5.04496i −0.0813680 0.206997i
\(595\) 2.51831 2.18213i 0.103241 0.0894585i
\(596\) 45.7134 + 4.94395i 1.87249 + 0.202512i
\(597\) −19.2247 −0.786813
\(598\) 19.2088 + 31.6578i 0.785505 + 1.29458i
\(599\) 3.62324i 0.148042i −0.997257 0.0740208i \(-0.976417\pi\)
0.997257 0.0740208i \(-0.0235831\pi\)
\(600\) −0.977645 0.307139i −0.0399122 0.0125389i
\(601\) 6.55041 + 7.55957i 0.267197 + 0.308361i 0.873454 0.486907i \(-0.161875\pi\)
−0.606257 + 0.795269i \(0.707330\pi\)
\(602\) 0.685451 + 1.74376i 0.0279369 + 0.0710705i
\(603\) −3.01477 + 0.433458i −0.122771 + 0.0176518i
\(604\) −19.9335 + 13.8214i −0.811084 + 0.562386i
\(605\) 3.55175 7.77724i 0.144399 0.316190i
\(606\) −4.42243 5.69668i −0.179649 0.231412i
\(607\) 31.2262 + 4.48965i 1.26743 + 0.182229i 0.743040 0.669247i \(-0.233383\pi\)
0.524393 + 0.851476i \(0.324292\pi\)
\(608\) −22.7700 14.1153i −0.923445 0.572452i
\(609\) 0.696246 2.37120i 0.0282133 0.0960858i
\(610\) 8.89726 + 4.65766i 0.360240 + 0.188583i
\(611\) 16.9755 + 37.1712i 0.686756 + 1.50379i
\(612\) 10.0698 + 5.98331i 0.407048 + 0.241861i
\(613\) −6.02669 + 6.95517i −0.243416 + 0.280917i −0.864290 0.502993i \(-0.832232\pi\)
0.620875 + 0.783910i \(0.286778\pi\)
\(614\) 22.3046 30.9107i 0.900141 1.24745i
\(615\) −14.7888 9.50418i −0.596342 0.383245i
\(616\) 2.40181 + 1.15192i 0.0967717 + 0.0464121i
\(617\) −3.95322 6.15133i −0.159151 0.247643i 0.752516 0.658574i \(-0.228840\pi\)
−0.911667 + 0.410931i \(0.865204\pi\)
\(618\) −7.83480 13.7688i −0.315162 0.553862i
\(619\) −0.659273 2.24528i −0.0264984 0.0902453i 0.945182 0.326544i \(-0.105884\pi\)
−0.971681 + 0.236298i \(0.924066\pi\)
\(620\) −6.67108 + 16.0766i −0.267917 + 0.645653i
\(621\) 2.70494 + 3.96022i 0.108545 + 0.158918i
\(622\) −2.81363 + 14.1217i −0.112816 + 0.566230i
\(623\) 1.14267 + 3.89159i 0.0457803 + 0.155913i
\(624\) −21.7812 1.58553i −0.871948 0.0634720i
\(625\) −22.4449 + 14.4244i −0.897795 + 0.576978i
\(626\) −11.8723 0.640135i −0.474512 0.0255849i
\(627\) 15.2711 + 9.81416i 0.609870 + 0.391940i
\(628\) −18.1300 + 16.8582i −0.723465 + 0.672716i
\(629\) 2.71693 + 2.35424i 0.108331 + 0.0938696i
\(630\) −0.267929 + 0.758714i −0.0106745 + 0.0302279i
\(631\) −3.97806 8.71073i −0.158364 0.346769i 0.813773 0.581183i \(-0.197410\pi\)
−0.972137 + 0.234415i \(0.924683\pi\)
\(632\) −9.90974 11.8805i −0.394188 0.472583i
\(633\) −17.3975 5.10837i −0.691488 0.203039i
\(634\) −24.7747 + 5.84615i −0.983930 + 0.232180i
\(635\) −45.6729 6.56678i −1.81248 0.260595i
\(636\) −15.5865 + 7.78971i −0.618044 + 0.308882i
\(637\) −34.4645 15.7394i −1.36553 0.623619i
\(638\) 39.2234 + 37.8715i 1.55287 + 1.49935i
\(639\) 15.1402 2.17683i 0.598937 0.0861142i
\(640\) 18.1499 + 18.8933i 0.717439 + 0.746822i
\(641\) 2.11100 1.82919i 0.0833794 0.0722486i −0.612174 0.790723i \(-0.709705\pi\)
0.695553 + 0.718475i \(0.255159\pi\)
\(642\) −0.901811 10.1135i −0.0355916 0.399149i
\(643\) 21.9936i 0.867344i 0.901071 + 0.433672i \(0.142782\pi\)
−0.901071 + 0.433672i \(0.857218\pi\)
\(644\) −2.29859 0.520016i −0.0905772 0.0204915i
\(645\) 12.4865i 0.491657i
\(646\) −39.0701 + 3.48383i −1.53719 + 0.137070i
\(647\) 24.7258 21.4250i 0.972070 0.842303i −0.0154368 0.999881i \(-0.504914\pi\)
0.987507 + 0.157578i \(0.0503684\pi\)
\(648\) −2.82793 0.0531684i −0.111091 0.00208865i
\(649\) 20.0550 2.88348i 0.787229 0.113186i
\(650\) 1.94310 2.01247i 0.0762148 0.0789354i
\(651\) 0.839964 + 0.383599i 0.0329208 + 0.0150344i
\(652\) 7.51775 3.75717i 0.294418 0.147142i
\(653\) 25.1880 + 3.62149i 0.985682 + 0.141720i 0.616261 0.787542i \(-0.288647\pi\)
0.369421 + 0.929262i \(0.379556\pi\)
\(654\) 1.73221 + 7.34074i 0.0677348 + 0.287046i
\(655\) −5.06590 1.48748i −0.197941 0.0581207i
\(656\) 14.5192 + 26.6701i 0.566880 + 1.04129i
\(657\) 4.35540 + 9.53699i 0.169920 + 0.372074i
\(658\) −2.45230 0.865993i −0.0956005 0.0337599i
\(659\) 1.51932 + 1.31650i 0.0591843 + 0.0512835i 0.683951 0.729528i \(-0.260260\pi\)
−0.624766 + 0.780812i \(0.714806\pi\)
\(660\) −12.0884 13.0003i −0.470539 0.506036i
\(661\) 35.0333 + 22.5146i 1.36264 + 0.875715i 0.998453 0.0556109i \(-0.0177106\pi\)
0.364187 + 0.931326i \(0.381347\pi\)
\(662\) −0.291339 + 5.40334i −0.0113232 + 0.210007i
\(663\) −26.8996 + 17.2873i −1.04469 + 0.671384i
\(664\) 0.160108 0.0199558i 0.00621338 0.000774436i
\(665\) −0.759138 2.58539i −0.0294381 0.100257i
\(666\) −0.851362 0.169626i −0.0329896 0.00657289i
\(667\) −41.2952 24.9309i −1.59895 0.965328i
\(668\) −7.01463 + 16.9045i −0.271404 + 0.654057i
\(669\) 0.0805010 + 0.274161i 0.00311235 + 0.0105997i
\(670\) −8.66919 + 4.93299i −0.334920 + 0.190578i
\(671\) 6.35492 + 9.88845i 0.245329 + 0.381739i
\(672\) 1.03547 0.927154i 0.0399440 0.0357658i
\(673\) −6.37562 4.09736i −0.245762 0.157942i 0.411961 0.911201i \(-0.364844\pi\)
−0.657723 + 0.753260i \(0.728480\pi\)
\(674\) −5.80283 4.18723i −0.223517 0.161286i
\(675\) 0.237260 0.273812i 0.00913214 0.0105390i
\(676\) 17.1721 28.9003i 0.660464 1.11155i
\(677\) 1.67051 + 3.65791i 0.0642030 + 0.140585i 0.939013 0.343880i \(-0.111741\pi\)
−0.874810 + 0.484465i \(0.839014\pi\)
\(678\) −1.81509 + 3.46727i −0.0697082 + 0.133160i
\(679\) −1.09777 + 3.73866i −0.0421285 + 0.143477i
\(680\) 37.8594 + 6.17185i 1.45184 + 0.236680i
\(681\) −8.18770 1.17721i −0.313753 0.0451109i
\(682\) −16.0925 + 12.4929i −0.616215 + 0.478378i
\(683\) 0.944631 2.06845i 0.0361453 0.0791471i −0.890698 0.454595i \(-0.849784\pi\)
0.926843 + 0.375448i \(0.122511\pi\)
\(684\) 7.78372 5.39704i 0.297618 0.206361i
\(685\) 21.0968 3.03326i 0.806067 0.115895i
\(686\) 4.50788 1.77199i 0.172112 0.0676549i
\(687\) −4.49740 5.19028i −0.171586 0.198021i
\(688\) −10.3608 + 18.9174i −0.395001 + 0.721219i
\(689\) 47.5668i 1.81215i
\(690\) 12.9888 + 8.82938i 0.494474 + 0.336129i
\(691\) −27.9299 −1.06250 −0.531251 0.847214i \(-0.678278\pi\)
−0.531251 + 0.847214i \(0.678278\pi\)
\(692\) −0.279823 + 2.58734i −0.0106373 + 0.0983558i
\(693\) −0.711751 + 0.616736i −0.0270372 + 0.0234278i
\(694\) 29.6751 11.6649i 1.12645 0.442794i
\(695\) −2.18056 15.1661i −0.0827132 0.575283i
\(696\) 26.0955 11.3295i 0.989149 0.429445i
\(697\) 40.4431 + 18.4697i 1.53189 + 0.699591i
\(698\) 11.8313 + 15.2403i 0.447822 + 0.576855i
\(699\) 1.36174 9.47111i 0.0515057 0.358230i
\(700\) 0.00624201 + 0.177928i 0.000235926 + 0.00672506i
\(701\) −41.9637 12.3217i −1.58495 0.465382i −0.633640 0.773628i \(-0.718440\pi\)
−0.951307 + 0.308245i \(0.900258\pi\)
\(702\) 3.58100 6.84058i 0.135156 0.258181i
\(703\) 2.64435 1.20764i 0.0997337 0.0455468i
\(704\) 7.52708 + 29.7261i 0.283687 + 1.12035i
\(705\) 13.0986 + 11.3500i 0.493321 + 0.427465i
\(706\) −26.3673 + 36.5408i −0.992345 + 1.37523i
\(707\) −0.677398 + 1.05405i −0.0254762 + 0.0396417i
\(708\) 2.62098 10.2419i 0.0985025 0.384912i
\(709\) −17.0653 + 10.9672i −0.640902 + 0.411883i −0.820332 0.571888i \(-0.806211\pi\)
0.179430 + 0.983771i \(0.442575\pi\)
\(710\) 43.5368 24.7735i 1.63391 0.929734i
\(711\) 5.24824 1.54102i 0.196824 0.0577929i
\(712\) −25.9764 + 38.7967i −0.973507 + 1.45397i
\(713\) 11.4166 13.9473i 0.427556 0.522330i
\(714\) 0.397646 1.99580i 0.0148815 0.0746909i
\(715\) 46.4977 13.6529i 1.73891 0.510591i
\(716\) −13.9983 42.1470i −0.523140 1.57511i
\(717\) 10.3192 + 16.0569i 0.385376 + 0.599657i
\(718\) −1.05738 + 19.6107i −0.0394609 + 0.731864i
\(719\) −15.1905 + 23.6369i −0.566510 + 0.881506i −0.999805 0.0197458i \(-0.993714\pi\)
0.433295 + 0.901252i \(0.357351\pi\)
\(720\) −8.68274 + 3.22598i −0.323586 + 0.120225i
\(721\) −1.80238 + 2.08006i −0.0671241 + 0.0774654i
\(722\) −1.61456 + 4.57206i −0.0600876 + 0.170154i
\(723\) −8.22518 + 3.75632i −0.305898 + 0.139699i
\(724\) 10.2083 + 8.23702i 0.379388 + 0.306126i
\(725\) −1.02667 + 3.49652i −0.0381296 + 0.129858i
\(726\) −1.19920 5.08197i −0.0445067 0.188610i
\(727\) −3.80952 + 26.4958i −0.141287 + 0.982676i 0.788620 + 0.614881i \(0.210796\pi\)
−0.929907 + 0.367794i \(0.880113\pi\)
\(728\) 1.00033 + 3.65997i 0.0370747 + 0.135648i
\(729\) 0.415415 0.909632i 0.0153857 0.0336901i
\(730\) 24.7004 + 23.8491i 0.914203 + 0.882694i
\(731\) 4.49433 + 31.2587i 0.166229 + 1.15615i
\(732\) 6.03645 1.08515i 0.223114 0.0401084i
\(733\) −21.2943 24.5749i −0.786522 0.907694i 0.211040 0.977477i \(-0.432315\pi\)
−0.997562 + 0.0697828i \(0.977769\pi\)
\(734\) 9.30664 0.829860i 0.343514 0.0306307i
\(735\) −16.0699 −0.592746
\(736\) −12.3521 24.1542i −0.455303 0.890337i
\(737\) −11.6746 −0.430038
\(738\) −10.6936 + 0.953537i −0.393638 + 0.0351002i
\(739\) 24.2312 + 27.9643i 0.891358 + 1.02868i 0.999403 + 0.0345357i \(0.0109952\pi\)
−0.108046 + 0.994146i \(0.534459\pi\)
\(740\) −2.79803 + 0.502992i −0.102858 + 0.0184904i
\(741\) 3.67978 + 25.5934i 0.135180 + 0.940197i
\(742\) 2.17783 + 2.10277i 0.0799506 + 0.0771949i
\(743\) −14.3515 + 31.4254i −0.526505 + 1.15289i 0.440412 + 0.897796i \(0.354832\pi\)
−0.966917 + 0.255090i \(0.917895\pi\)
\(744\) 2.80256 + 10.2539i 0.102747 + 0.375926i
\(745\) −7.57642 + 52.6952i −0.277579 + 1.93060i
\(746\) −11.7232 49.6805i −0.429217 1.81893i
\(747\) −0.0160713 + 0.0547338i −0.000588018 + 0.00200261i
\(748\) 34.9412 + 28.1939i 1.27758 + 1.03087i
\(749\) −1.60465 + 0.732819i −0.0586326 + 0.0267766i
\(750\) −5.05726 + 14.3210i −0.184665 + 0.522929i
\(751\) −16.5892 + 19.1449i −0.605348 + 0.698609i −0.972856 0.231412i \(-0.925666\pi\)
0.367508 + 0.930020i \(0.380211\pi\)
\(752\) −10.4269 28.0641i −0.380232 1.02339i
\(753\) −5.09671 + 7.93063i −0.185734 + 0.289008i
\(754\) −4.18130 + 77.5486i −0.152274 + 2.82415i
\(755\) −15.1839 23.6266i −0.552598 0.859859i
\(756\) 0.154889 + 0.466353i 0.00563328 + 0.0169611i
\(757\) 8.85149 2.59903i 0.321713 0.0944634i −0.116889 0.993145i \(-0.537292\pi\)
0.438602 + 0.898682i \(0.355474\pi\)
\(758\) 2.61169 13.1082i 0.0948608 0.476110i
\(759\) 8.10230 + 16.5007i 0.294095 + 0.598937i
\(760\) 17.2575 25.7746i 0.625994 0.934944i
\(761\) −3.10797 + 0.912583i −0.112664 + 0.0330811i −0.337579 0.941297i \(-0.609608\pi\)
0.224915 + 0.974378i \(0.427790\pi\)
\(762\) −24.4924 + 13.9368i −0.887267 + 0.504877i
\(763\) 1.10236 0.708447i 0.0399083 0.0256475i
\(764\) 3.80011 14.8495i 0.137483 0.537236i
\(765\) −7.33218 + 11.4091i −0.265096 + 0.412497i
\(766\) 19.3403 26.8026i 0.698795 0.968419i
\(767\) 21.8108 + 18.8992i 0.787542 + 0.682409i
\(768\) 15.8313 + 2.31711i 0.571264 + 0.0836115i
\(769\) 46.5847 21.2745i 1.67989 0.767179i 0.680481 0.732766i \(-0.261771\pi\)
0.999408 0.0344138i \(-0.0109564\pi\)
\(770\) −1.43041 + 2.73243i −0.0515483 + 0.0984698i
\(771\) 19.2166 + 5.64252i 0.692071 + 0.203210i
\(772\) 0.787003 + 22.4335i 0.0283248 + 0.807398i
\(773\) 3.61887 25.1698i 0.130162 0.905294i −0.815179 0.579209i \(-0.803361\pi\)