Properties

Label 175.2.x.a.108.2
Level $175$
Weight $2$
Character 175.108
Analytic conductor $1.397$
Analytic rank $0$
Dimension $288$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 175 = 5^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 175.x (of order \(60\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.39738203537\)
Analytic rank: \(0\)
Dimension: \(288\)
Relative dimension: \(18\) over \(\Q(\zeta_{60})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label 108.2
Character \(\chi\) \(=\) 175.108
Dual form 175.2.x.a.47.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.135500 - 2.58550i) q^{2} +(1.90004 + 1.53862i) q^{3} +(-4.67742 + 0.491617i) q^{4} +(2.23569 - 0.0410919i) q^{5} +(3.72066 - 5.12104i) q^{6} +(2.52464 + 0.791332i) q^{7} +(1.09484 + 6.91252i) q^{8} +(0.619060 + 2.91245i) q^{9} +O(q^{10})\) \(q+(-0.135500 - 2.58550i) q^{2} +(1.90004 + 1.53862i) q^{3} +(-4.67742 + 0.491617i) q^{4} +(2.23569 - 0.0410919i) q^{5} +(3.72066 - 5.12104i) q^{6} +(2.52464 + 0.791332i) q^{7} +(1.09484 + 6.91252i) q^{8} +(0.619060 + 2.91245i) q^{9} +(-0.409180 - 5.77482i) q^{10} +(-5.30433 - 1.12747i) q^{11} +(-9.64370 - 6.26269i) q^{12} +(-0.126124 - 0.247532i) q^{13} +(1.70390 - 6.63468i) q^{14} +(4.31113 + 3.36181i) q^{15} +(8.52317 - 1.81165i) q^{16} +(-4.22770 - 1.62286i) q^{17} +(7.44626 - 1.99522i) q^{18} +(0.00214840 - 0.0204407i) q^{19} +(-10.4371 + 1.29131i) q^{20} +(3.57935 + 5.38803i) q^{21} +(-2.19634 + 13.8671i) q^{22} +(-5.45201 + 0.285728i) q^{23} +(-8.55552 + 14.8186i) q^{24} +(4.99662 - 0.183737i) q^{25} +(-0.622904 + 0.359634i) q^{26} +(0.0249589 - 0.0489845i) q^{27} +(-12.1978 - 2.46024i) q^{28} +(-0.413497 - 0.569129i) q^{29} +(8.10780 - 11.6020i) q^{30} +(1.64234 + 3.68876i) q^{31} +(-2.21615 - 8.27077i) q^{32} +(-8.34369 - 10.3036i) q^{33} +(-3.62306 + 11.1506i) q^{34} +(5.67682 + 1.66543i) q^{35} +(-4.32741 - 13.3184i) q^{36} +(-0.0129377 + 0.0199223i) q^{37} +(-0.0531405 - 0.00278498i) q^{38} +(0.141218 - 0.664377i) q^{39} +(2.73176 + 15.4093i) q^{40} +(5.37154 + 1.74532i) q^{41} +(13.4458 - 9.98451i) q^{42} +(-4.35752 - 4.35752i) q^{43} +(25.3649 + 2.66596i) q^{44} +(1.50370 + 6.48589i) q^{45} +(1.47750 + 14.0575i) q^{46} +(1.23451 + 3.21600i) q^{47} +(18.9818 + 9.67172i) q^{48} +(5.74759 + 3.99565i) q^{49} +(-1.15210 - 12.8939i) q^{50} +(-5.53583 - 9.58833i) q^{51} +(0.711624 + 1.09581i) q^{52} +(2.34357 - 2.89407i) q^{53} +(-0.130032 - 0.0578938i) q^{54} +(-11.9052 - 2.30271i) q^{55} +(-2.70603 + 18.3180i) q^{56} +(0.0355325 - 0.0355325i) q^{57} +(-1.41546 + 1.14621i) q^{58} +(-3.75527 - 4.17065i) q^{59} +(-21.8177 - 13.6052i) q^{60} +(1.43060 + 1.28812i) q^{61} +(9.31476 - 4.74610i) q^{62} +(-0.741811 + 7.84276i) q^{63} +(-4.50960 + 1.46526i) q^{64} +(-0.292145 - 0.548221i) q^{65} +(-25.5094 + 22.9688i) q^{66} +(-5.44695 + 14.1898i) q^{67} +(20.5725 + 5.51240i) q^{68} +(-10.7987 - 7.84569i) q^{69} +(3.53676 - 14.9031i) q^{70} +(1.09682 - 0.796887i) q^{71} +(-19.4546 + 7.46791i) q^{72} +(6.88409 - 4.47058i) q^{73} +(0.0532622 + 0.0307510i) q^{74} +(9.77649 + 7.33881i) q^{75} +0.0966658i q^{76} +(-12.4993 - 7.04394i) q^{77} +(-1.73688 - 0.275095i) q^{78} +(-1.03233 + 2.31865i) q^{79} +(18.9807 - 4.40053i) q^{80} +(8.28307 - 3.68786i) q^{81} +(3.78468 - 14.1246i) q^{82} +(6.74923 - 1.06897i) q^{83} +(-19.3910 - 23.4424i) q^{84} +(-9.51851 - 3.45449i) q^{85} +(-10.6759 + 11.8568i) q^{86} +(0.0900148 - 1.71758i) q^{87} +(1.98629 - 37.9007i) q^{88} +(-5.48864 + 6.09575i) q^{89} +(16.5655 - 4.76667i) q^{90} +(-0.122537 - 0.724733i) q^{91} +(25.3609 - 4.01677i) q^{92} +(-2.55509 + 9.53573i) q^{93} +(8.14770 - 3.62759i) q^{94} +(0.00396321 - 0.0457873i) q^{95} +(8.51483 - 19.1246i) q^{96} +(-13.8647 - 2.19595i) q^{97} +(9.55197 - 15.4018i) q^{98} -16.1466i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 288 q - 8 q^{2} - 24 q^{3} - 10 q^{4} - 30 q^{5} - 10 q^{7} - 36 q^{8} - 10 q^{9} + O(q^{10}) \) \( 288 q - 8 q^{2} - 24 q^{3} - 10 q^{4} - 30 q^{5} - 10 q^{7} - 36 q^{8} - 10 q^{9} - 36 q^{10} - 6 q^{11} - 36 q^{12} - 20 q^{14} - 28 q^{15} - 30 q^{16} - 42 q^{17} - 14 q^{18} - 30 q^{19} - 12 q^{21} + 32 q^{22} - 40 q^{23} + 2 q^{25} - 48 q^{26} + 22 q^{28} - 58 q^{30} - 18 q^{31} + 8 q^{32} - 30 q^{33} - 2 q^{35} + 40 q^{36} - 10 q^{37} + 72 q^{38} + 30 q^{39} - 48 q^{40} + 6 q^{42} - 108 q^{43} - 10 q^{44} + 186 q^{45} - 6 q^{46} - 54 q^{47} - 248 q^{50} - 16 q^{51} + 216 q^{52} + 50 q^{53} - 30 q^{54} + 4 q^{56} - 216 q^{57} - 4 q^{58} + 90 q^{59} + 96 q^{60} - 18 q^{61} - 66 q^{63} - 100 q^{64} + 14 q^{65} - 90 q^{66} + 4 q^{67} + 342 q^{68} - 60 q^{70} - 24 q^{71} + 58 q^{72} - 6 q^{73} + 216 q^{75} - 80 q^{77} - 132 q^{78} - 10 q^{79} - 6 q^{80} - 10 q^{81} + 216 q^{82} + 20 q^{84} - 48 q^{85} - 6 q^{86} - 48 q^{87} - 122 q^{88} + 120 q^{89} - 12 q^{91} - 4 q^{92} + 106 q^{93} - 30 q^{94} - 98 q^{95} - 90 q^{96} + 222 q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{20}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.135500 2.58550i −0.0958133 1.82823i −0.449974 0.893042i \(-0.648567\pi\)
0.354160 0.935185i \(-0.384767\pi\)
\(3\) 1.90004 + 1.53862i 1.09699 + 0.888324i 0.994324 0.106392i \(-0.0339298\pi\)
0.102665 + 0.994716i \(0.467263\pi\)
\(4\) −4.67742 + 0.491617i −2.33871 + 0.245808i
\(5\) 2.23569 0.0410919i 0.999831 0.0183768i
\(6\) 3.72066 5.12104i 1.51895 2.09066i
\(7\) 2.52464 + 0.791332i 0.954223 + 0.299095i
\(8\) 1.09484 + 6.91252i 0.387083 + 2.44394i
\(9\) 0.619060 + 2.91245i 0.206353 + 0.970816i
\(10\) −0.409180 5.77482i −0.129394 1.82616i
\(11\) −5.30433 1.12747i −1.59932 0.339945i −0.679922 0.733284i \(-0.737987\pi\)
−0.919394 + 0.393339i \(0.871320\pi\)
\(12\) −9.64370 6.26269i −2.78390 1.80788i
\(13\) −0.126124 0.247532i −0.0349804 0.0686529i 0.872855 0.487980i \(-0.162266\pi\)
−0.907835 + 0.419327i \(0.862266\pi\)
\(14\) 1.70390 6.63468i 0.455387 1.77319i
\(15\) 4.31113 + 3.36181i 1.11313 + 0.868015i
\(16\) 8.52317 1.81165i 2.13079 0.452914i
\(17\) −4.22770 1.62286i −1.02537 0.393602i −0.213189 0.977011i \(-0.568385\pi\)
−0.812178 + 0.583409i \(0.801718\pi\)
\(18\) 7.44626 1.99522i 1.75510 0.470278i
\(19\) 0.00214840 0.0204407i 0.000492877 0.00468941i −0.994273 0.106873i \(-0.965916\pi\)
0.994766 + 0.102183i \(0.0325829\pi\)
\(20\) −10.4371 + 1.29131i −2.33380 + 0.288745i
\(21\) 3.57935 + 5.38803i 0.781079 + 1.17576i
\(22\) −2.19634 + 13.8671i −0.468261 + 2.95648i
\(23\) −5.45201 + 0.285728i −1.13682 + 0.0595784i −0.611442 0.791289i \(-0.709410\pi\)
−0.525380 + 0.850867i \(0.676077\pi\)
\(24\) −8.55552 + 14.8186i −1.74639 + 3.02483i
\(25\) 4.99662 0.183737i 0.999325 0.0367475i
\(26\) −0.622904 + 0.359634i −0.122162 + 0.0705300i
\(27\) 0.0249589 0.0489845i 0.00480333 0.00942707i
\(28\) −12.1978 2.46024i −2.30517 0.464941i
\(29\) −0.413497 0.569129i −0.0767844 0.105685i 0.768897 0.639372i \(-0.220806\pi\)
−0.845682 + 0.533688i \(0.820806\pi\)
\(30\) 8.10780 11.6020i 1.48028 2.11822i
\(31\) 1.64234 + 3.68876i 0.294973 + 0.662520i 0.998857 0.0477944i \(-0.0152192\pi\)
−0.703884 + 0.710315i \(0.748553\pi\)
\(32\) −2.21615 8.27077i −0.391763 1.46208i
\(33\) −8.34369 10.3036i −1.45245 1.79363i
\(34\) −3.62306 + 11.1506i −0.621349 + 1.91232i
\(35\) 5.67682 + 1.66543i 0.959559 + 0.281509i
\(36\) −4.32741 13.3184i −0.721235 2.21973i
\(37\) −0.0129377 + 0.0199223i −0.00212694 + 0.00327521i −0.839732 0.543000i \(-0.817288\pi\)
0.837605 + 0.546276i \(0.183955\pi\)
\(38\) −0.0531405 0.00278498i −0.00862053 0.000451783i
\(39\) 0.141218 0.664377i 0.0226129 0.106385i
\(40\) 2.73176 + 15.4093i 0.431929 + 2.43642i
\(41\) 5.37154 + 1.74532i 0.838894 + 0.272573i 0.696787 0.717278i \(-0.254612\pi\)
0.142107 + 0.989851i \(0.454612\pi\)
\(42\) 13.4458 9.98451i 2.07472 1.54064i
\(43\) −4.35752 4.35752i −0.664515 0.664515i 0.291926 0.956441i \(-0.405704\pi\)
−0.956441 + 0.291926i \(0.905704\pi\)
\(44\) 25.3649 + 2.66596i 3.82390 + 0.401908i
\(45\) 1.50370 + 6.48589i 0.224159 + 0.966860i
\(46\) 1.47750 + 14.0575i 0.217845 + 2.07266i
\(47\) 1.23451 + 3.21600i 0.180071 + 0.469102i 0.993672 0.112323i \(-0.0358290\pi\)
−0.813600 + 0.581424i \(0.802496\pi\)
\(48\) 18.9818 + 9.67172i 2.73979 + 1.39599i
\(49\) 5.74759 + 3.99565i 0.821084 + 0.570807i
\(50\) −1.15210 12.8939i −0.162931 1.82347i
\(51\) −5.53583 9.58833i −0.775171 1.34264i
\(52\) 0.711624 + 1.09581i 0.0986845 + 0.151961i
\(53\) 2.34357 2.89407i 0.321914 0.397531i −0.590341 0.807154i \(-0.701007\pi\)
0.912255 + 0.409624i \(0.134340\pi\)
\(54\) −0.130032 0.0578938i −0.0176950 0.00787834i
\(55\) −11.9052 2.30271i −1.60529 0.310497i
\(56\) −2.70603 + 18.3180i −0.361609 + 2.44784i
\(57\) 0.0355325 0.0355325i 0.00470640 0.00470640i
\(58\) −1.41546 + 1.14621i −0.185859 + 0.150505i
\(59\) −3.75527 4.17065i −0.488894 0.542972i 0.447333 0.894367i \(-0.352374\pi\)
−0.936227 + 0.351396i \(0.885707\pi\)
\(60\) −21.8177 13.6052i −2.81665 1.75642i
\(61\) 1.43060 + 1.28812i 0.183169 + 0.164926i 0.755614 0.655017i \(-0.227338\pi\)
−0.572445 + 0.819943i \(0.694005\pi\)
\(62\) 9.31476 4.74610i 1.18298 0.602756i
\(63\) −0.741811 + 7.84276i −0.0934594 + 0.988094i
\(64\) −4.50960 + 1.46526i −0.563700 + 0.183157i
\(65\) −0.292145 0.548221i −0.0362361 0.0679985i
\(66\) −25.5094 + 22.9688i −3.13999 + 2.82726i
\(67\) −5.44695 + 14.1898i −0.665451 + 1.73356i 0.0140668 + 0.999901i \(0.495522\pi\)
−0.679518 + 0.733659i \(0.737811\pi\)
\(68\) 20.5725 + 5.51240i 2.49479 + 0.668476i
\(69\) −10.7987 7.84569i −1.30001 0.944510i
\(70\) 3.53676 14.9031i 0.422724 1.78126i
\(71\) 1.09682 0.796887i 0.130169 0.0945731i −0.520796 0.853681i \(-0.674365\pi\)
0.650964 + 0.759108i \(0.274365\pi\)
\(72\) −19.4546 + 7.46791i −2.29274 + 0.880102i
\(73\) 6.88409 4.47058i 0.805722 0.523242i −0.0748276 0.997196i \(-0.523841\pi\)
0.880549 + 0.473955i \(0.157174\pi\)
\(74\) 0.0532622 + 0.0307510i 0.00619161 + 0.00357473i
\(75\) 9.77649 + 7.33881i 1.12889 + 0.847413i
\(76\) 0.0966658i 0.0110883i
\(77\) −12.4993 7.04394i −1.42443 0.802731i
\(78\) −1.73688 0.275095i −0.196663 0.0311484i
\(79\) −1.03233 + 2.31865i −0.116146 + 0.260869i −0.962259 0.272135i \(-0.912270\pi\)
0.846113 + 0.533004i \(0.178937\pi\)
\(80\) 18.9807 4.40053i 2.12211 0.491994i
\(81\) 8.28307 3.68786i 0.920342 0.409762i
\(82\) 3.78468 14.1246i 0.417948 1.55980i
\(83\) 6.74923 1.06897i 0.740825 0.117335i 0.225396 0.974267i \(-0.427633\pi\)
0.515429 + 0.856932i \(0.327633\pi\)
\(84\) −19.3910 23.4424i −2.11573 2.55778i
\(85\) −9.51851 3.45449i −1.03243 0.374692i
\(86\) −10.6759 + 11.8568i −1.15121 + 1.27855i
\(87\) 0.0900148 1.71758i 0.00965060 0.184144i
\(88\) 1.98629 37.9007i 0.211739 4.04023i
\(89\) −5.48864 + 6.09575i −0.581794 + 0.646148i −0.960141 0.279516i \(-0.909826\pi\)
0.378347 + 0.925664i \(0.376493\pi\)
\(90\) 16.5655 4.76667i 1.74616 0.502451i
\(91\) −0.122537 0.724733i −0.0128454 0.0759727i
\(92\) 25.3609 4.01677i 2.64405 0.418777i
\(93\) −2.55509 + 9.53573i −0.264951 + 0.988809i
\(94\) 8.14770 3.62759i 0.840371 0.374157i
\(95\) 0.00396321 0.0457873i 0.000406617 0.00469768i
\(96\) 8.51483 19.1246i 0.869041 1.95190i
\(97\) −13.8647 2.19595i −1.40775 0.222965i −0.594130 0.804369i \(-0.702504\pi\)
−0.813615 + 0.581404i \(0.802504\pi\)
\(98\) 9.55197 15.4018i 0.964894 1.55582i
\(99\) 16.1466i 1.62279i
\(100\) −23.2810 + 3.31584i −2.32810 + 0.331584i
\(101\) −1.86039 1.07409i −0.185115 0.106876i 0.404579 0.914503i \(-0.367418\pi\)
−0.589694 + 0.807627i \(0.700752\pi\)
\(102\) −24.0406 + 15.6121i −2.38037 + 1.54583i
\(103\) −9.50912 + 3.65021i −0.936962 + 0.359666i −0.778461 0.627693i \(-0.783999\pi\)
−0.158501 + 0.987359i \(0.550666\pi\)
\(104\) 1.57298 1.14284i 0.154244 0.112065i
\(105\) 8.22373 + 11.8989i 0.802554 + 1.16121i
\(106\) −7.80017 5.66716i −0.757620 0.550443i
\(107\) −6.10643 1.63621i −0.590331 0.158179i −0.0487267 0.998812i \(-0.515516\pi\)
−0.541605 + 0.840633i \(0.682183\pi\)
\(108\) −0.0926614 + 0.241391i −0.00891635 + 0.0232279i
\(109\) 12.5165 11.2699i 1.19886 1.07946i 0.203920 0.978988i \(-0.434632\pi\)
0.994940 0.100471i \(-0.0320349\pi\)
\(110\) −4.34051 + 31.0929i −0.413851 + 2.96459i
\(111\) −0.0552351 + 0.0179470i −0.00524268 + 0.00170345i
\(112\) 22.9515 + 2.17088i 2.16872 + 0.205129i
\(113\) 1.89387 0.964975i 0.178160 0.0907772i −0.362636 0.931931i \(-0.618123\pi\)
0.540796 + 0.841154i \(0.318123\pi\)
\(114\) −0.0966841 0.0870547i −0.00905529 0.00815342i
\(115\) −12.1773 + 0.862832i −1.13554 + 0.0804595i
\(116\) 2.21389 + 2.45878i 0.205555 + 0.228292i
\(117\) 0.642845 0.520566i 0.0594310 0.0481263i
\(118\) −10.2744 + 10.2744i −0.945833 + 0.945833i
\(119\) −9.38918 7.44265i −0.860705 0.682266i
\(120\) −18.5186 + 33.4814i −1.69051 + 3.05642i
\(121\) 16.8157 + 7.48685i 1.52870 + 0.680623i
\(122\) 3.13658 3.87335i 0.283973 0.350677i
\(123\) 7.52076 + 11.5810i 0.678124 + 1.04422i
\(124\) −9.49537 16.4465i −0.852710 1.47694i
\(125\) 11.1634 0.616100i 0.998481 0.0551057i
\(126\) 20.3780 + 0.855257i 1.81542 + 0.0761923i
\(127\) 9.31183 + 4.74461i 0.826291 + 0.421016i 0.815381 0.578924i \(-0.196527\pi\)
0.0109096 + 0.999940i \(0.496527\pi\)
\(128\) −1.73759 4.52658i −0.153583 0.400097i
\(129\) −1.57488 14.9840i −0.138661 1.31927i
\(130\) −1.37784 + 0.829626i −0.120845 + 0.0727630i
\(131\) 18.4422 + 1.93835i 1.61130 + 0.169354i 0.866935 0.498421i \(-0.166087\pi\)
0.744363 + 0.667775i \(0.232753\pi\)
\(132\) 44.0924 + 44.0924i 3.83775 + 3.83775i
\(133\) 0.0215993 0.0499052i 0.00187289 0.00432733i
\(134\) 37.4258 + 12.1604i 3.23310 + 1.05050i
\(135\) 0.0537874 0.110540i 0.00462928 0.00951375i
\(136\) 6.58943 31.0008i 0.565039 2.65830i
\(137\) −11.0060 0.576801i −0.940308 0.0492794i −0.423981 0.905671i \(-0.639368\pi\)
−0.516327 + 0.856392i \(0.672701\pi\)
\(138\) −18.8218 + 28.9831i −1.60222 + 2.46720i
\(139\) 1.73378 + 5.33603i 0.147058 + 0.452597i 0.997270 0.0738434i \(-0.0235265\pi\)
−0.850212 + 0.526440i \(0.823526\pi\)
\(140\) −27.3717 4.99910i −2.31333 0.422501i
\(141\) −2.60260 + 8.00997i −0.219178 + 0.674561i
\(142\) −2.20897 2.72785i −0.185373 0.228916i
\(143\) 0.389917 + 1.45519i 0.0326065 + 0.121689i
\(144\) 10.5527 + 23.7018i 0.879392 + 1.97515i
\(145\) −0.947837 1.25541i −0.0787136 0.104256i
\(146\) −12.4915 17.1931i −1.03380 1.42291i
\(147\) 4.77285 + 16.4353i 0.393658 + 1.35556i
\(148\) 0.0507209 0.0995454i 0.00416923 0.00818258i
\(149\) 2.27766 1.31501i 0.186593 0.107730i −0.403794 0.914850i \(-0.632309\pi\)
0.590387 + 0.807121i \(0.298975\pi\)
\(150\) 17.6498 26.2716i 1.44110 2.14506i
\(151\) 2.52619 4.37549i 0.205579 0.356073i −0.744738 0.667357i \(-0.767426\pi\)
0.950317 + 0.311284i \(0.100759\pi\)
\(152\) 0.143649 0.00752830i 0.0116514 0.000610626i
\(153\) 2.10930 13.3176i 0.170527 1.07666i
\(154\) −16.5185 + 33.2715i −1.33110 + 2.68109i
\(155\) 3.82334 + 8.17943i 0.307098 + 0.656988i
\(156\) −0.333916 + 3.17700i −0.0267346 + 0.254363i
\(157\) −6.06312 + 1.62461i −0.483890 + 0.129658i −0.492513 0.870305i \(-0.663922\pi\)
0.00862335 + 0.999963i \(0.497255\pi\)
\(158\) 6.13476 + 2.35492i 0.488056 + 0.187347i
\(159\) 8.90575 1.89298i 0.706272 0.150123i
\(160\) −5.29448 18.3998i −0.418565 1.45463i
\(161\) −13.9905 3.59299i −1.10260 0.283167i
\(162\) −10.6573 20.9162i −0.837320 1.64333i
\(163\) 16.3769 + 10.6353i 1.28274 + 0.833018i 0.992298 0.123876i \(-0.0395325\pi\)
0.290438 + 0.956894i \(0.406199\pi\)
\(164\) −25.9830 5.52285i −2.02893 0.431262i
\(165\) −19.0773 22.6928i −1.48517 1.76663i
\(166\) −3.67836 17.3053i −0.285496 1.34315i
\(167\) −2.80249 17.6942i −0.216863 1.36922i −0.820357 0.571852i \(-0.806225\pi\)
0.603494 0.797367i \(-0.293775\pi\)
\(168\) −33.3260 + 30.6413i −2.57116 + 2.36403i
\(169\) 7.59584 10.4548i 0.584296 0.804214i
\(170\) −7.64183 + 25.0782i −0.586102 + 1.92341i
\(171\) 0.0608624 0.00639689i 0.00465426 0.000489183i
\(172\) 22.5242 + 18.2397i 1.71745 + 1.39076i
\(173\) −0.806056 15.3805i −0.0612833 1.16935i −0.840218 0.542249i \(-0.817573\pi\)
0.778934 0.627105i \(-0.215760\pi\)
\(174\) −4.45302 −0.337582
\(175\) 12.7601 + 3.49012i 0.964570 + 0.263828i
\(176\) −47.2523 −3.56177
\(177\) −0.718109 13.7023i −0.0539764 1.02993i
\(178\) 16.5043 + 13.3649i 1.23705 + 1.00174i
\(179\) −0.501141 + 0.0526720i −0.0374570 + 0.00393689i −0.123238 0.992377i \(-0.539328\pi\)
0.0857814 + 0.996314i \(0.472661\pi\)
\(180\) −10.2220 29.5980i −0.761905 2.20610i
\(181\) 7.22957 9.95064i 0.537369 0.739625i −0.450862 0.892594i \(-0.648883\pi\)
0.988231 + 0.152968i \(0.0488832\pi\)
\(182\) −1.85720 + 0.415021i −0.137665 + 0.0307634i
\(183\) 0.736269 + 4.64862i 0.0544266 + 0.343636i
\(184\) −7.94415 37.3743i −0.585651 2.75527i
\(185\) −0.0281060 + 0.0450717i −0.00206640 + 0.00331374i
\(186\) 25.0009 + 5.31410i 1.83315 + 0.389649i
\(187\) 20.5954 + 13.3748i 1.50608 + 0.978062i
\(188\) −7.35535 14.4357i −0.536444 1.05283i
\(189\) 0.101775 0.103917i 0.00740305 0.00755888i
\(190\) −0.118920 0.00404270i −0.00862737 0.000293288i
\(191\) 13.0831 2.78090i 0.946659 0.201219i 0.291382 0.956607i \(-0.405885\pi\)
0.655277 + 0.755388i \(0.272552\pi\)
\(192\) −10.8229 4.15452i −0.781076 0.299827i
\(193\) 2.41364 0.646732i 0.173737 0.0465528i −0.170902 0.985288i \(-0.554668\pi\)
0.344639 + 0.938735i \(0.388001\pi\)
\(194\) −3.79896 + 36.1447i −0.272750 + 2.59504i
\(195\) 0.288419 1.49114i 0.0206541 0.106783i
\(196\) −28.8482 15.8637i −2.06059 1.13312i
\(197\) 4.03436 25.4720i 0.287436 1.81480i −0.246348 0.969181i \(-0.579231\pi\)
0.533784 0.845621i \(-0.320769\pi\)
\(198\) −41.7470 + 2.18787i −2.96683 + 0.155485i
\(199\) −9.50790 + 16.4682i −0.673997 + 1.16740i 0.302764 + 0.953066i \(0.402091\pi\)
−0.976761 + 0.214332i \(0.931243\pi\)
\(200\) 6.74057 + 34.3381i 0.476630 + 2.42807i
\(201\) −32.1822 + 18.5804i −2.26996 + 1.31056i
\(202\) −2.52499 + 4.95557i −0.177658 + 0.348673i
\(203\) −0.593559 1.76406i −0.0416597 0.123813i
\(204\) 30.6072 + 42.1272i 2.14293 + 2.94949i
\(205\) 12.0808 + 3.68127i 0.843761 + 0.257111i
\(206\) 10.7261 + 24.0913i 0.747324 + 1.67852i
\(207\) −4.20729 15.7018i −0.292427 1.09135i
\(208\) −1.52342 1.88126i −0.105630 0.130442i
\(209\) −0.0344421 + 0.106002i −0.00238241 + 0.00733230i
\(210\) 29.6503 22.8748i 2.04606 1.57851i
\(211\) 1.55379 + 4.78206i 0.106967 + 0.329211i 0.990187 0.139748i \(-0.0446293\pi\)
−0.883220 + 0.468959i \(0.844629\pi\)
\(212\) −9.53909 + 14.6889i −0.655147 + 1.00884i
\(213\) 3.31011 + 0.173476i 0.226805 + 0.0118864i
\(214\) −3.40301 + 16.0099i −0.232625 + 1.09442i
\(215\) −9.92111 9.56300i −0.676614 0.652191i
\(216\) 0.365932 + 0.118899i 0.0248985 + 0.00809002i
\(217\) 1.22728 + 10.6124i 0.0833135 + 0.720417i
\(218\) −30.8343 30.8343i −2.08836 2.08836i
\(219\) 19.9586 + 2.09773i 1.34868 + 0.141752i
\(220\) 56.8175 + 4.91796i 3.83064 + 0.331569i
\(221\) 0.131503 + 1.25117i 0.00884587 + 0.0841628i
\(222\) 0.0538863 + 0.140379i 0.00361661 + 0.00942159i
\(223\) −24.4072 12.4361i −1.63443 0.832782i −0.998116 0.0613496i \(-0.980460\pi\)
−0.636311 0.771433i \(-0.719540\pi\)
\(224\) 0.949958 22.6344i 0.0634717 1.51232i
\(225\) 3.62833 + 14.4387i 0.241889 + 0.962577i
\(226\) −2.75157 4.76585i −0.183031 0.317020i
\(227\) 6.22698 + 9.58871i 0.413299 + 0.636425i 0.982607 0.185700i \(-0.0594552\pi\)
−0.569307 + 0.822125i \(0.692789\pi\)
\(228\) −0.148732 + 0.183669i −0.00985003 + 0.0121638i
\(229\) −9.83654 4.37951i −0.650017 0.289406i 0.0551173 0.998480i \(-0.482447\pi\)
−0.705134 + 0.709074i \(0.749113\pi\)
\(230\) 3.88088 + 31.3674i 0.255898 + 2.06831i
\(231\) −12.9112 32.6155i −0.849497 2.14594i
\(232\) 3.48141 3.48141i 0.228566 0.228566i
\(233\) −5.39101 + 4.36556i −0.353177 + 0.285997i −0.789447 0.613819i \(-0.789633\pi\)
0.436270 + 0.899816i \(0.356299\pi\)
\(234\) −1.43303 1.59154i −0.0936801 0.104042i
\(235\) 2.89213 + 7.13925i 0.188662 + 0.465713i
\(236\) 19.6153 + 17.6617i 1.27685 + 1.14968i
\(237\) −5.52900 + 2.81717i −0.359147 + 0.182995i
\(238\) −17.9707 + 25.2842i −1.16487 + 1.63893i
\(239\) −16.7344 + 5.43732i −1.08246 + 0.351711i −0.795327 0.606181i \(-0.792701\pi\)
−0.287129 + 0.957892i \(0.592701\pi\)
\(240\) 42.8349 + 20.8430i 2.76498 + 1.34541i
\(241\) −0.793839 + 0.714776i −0.0511357 + 0.0460427i −0.694302 0.719683i \(-0.744287\pi\)
0.643167 + 0.765726i \(0.277620\pi\)
\(242\) 17.0787 44.4916i 1.09786 2.86003i
\(243\) 21.2531 + 5.69475i 1.36339 + 0.365318i
\(244\) −7.32476 5.32175i −0.468920 0.340690i
\(245\) 13.0140 + 8.69686i 0.831435 + 0.555622i
\(246\) 28.9235 21.0142i 1.84410 1.33981i
\(247\) −0.00533068 + 0.00204625i −0.000339183 + 0.000130200i
\(248\) −23.7005 + 15.3913i −1.50498 + 0.977348i
\(249\) 14.4686 + 8.35343i 0.916908 + 0.529377i
\(250\) −3.10557 28.7794i −0.196413 1.82017i
\(251\) 20.3040i 1.28158i 0.767716 + 0.640790i \(0.221393\pi\)
−0.767716 + 0.640790i \(0.778607\pi\)
\(252\) −0.385870 37.0486i −0.0243075 2.33384i
\(253\) 29.2414 + 4.63139i 1.83839 + 0.291173i
\(254\) 11.0055 24.7186i 0.690543 1.55099i
\(255\) −12.7704 21.2091i −0.799713 1.32816i
\(256\) −20.1315 + 8.96313i −1.25822 + 0.560196i
\(257\) −5.93369 + 22.1448i −0.370133 + 1.38136i 0.490194 + 0.871613i \(0.336926\pi\)
−0.860327 + 0.509742i \(0.829741\pi\)
\(258\) −38.5278 + 6.10221i −2.39864 + 0.379907i
\(259\) −0.0484281 + 0.0400586i −0.00300918 + 0.00248912i
\(260\) 1.63600 + 2.42064i 0.101460 + 0.150122i
\(261\) 1.40158 1.55661i 0.0867557 0.0963519i
\(262\) 2.51268 47.9449i 0.155234 2.96204i
\(263\) −1.24452 + 23.7468i −0.0767401 + 1.46429i 0.640766 + 0.767737i \(0.278617\pi\)
−0.717506 + 0.696553i \(0.754716\pi\)
\(264\) 62.0889 68.9567i 3.82131 4.24399i
\(265\) 5.12057 6.56654i 0.314554 0.403379i
\(266\) −0.131957 0.0490828i −0.00809078 0.00300946i
\(267\) −19.8077 + 3.13723i −1.21221 + 0.191995i
\(268\) 18.5017 69.0495i 1.13017 4.21787i
\(269\) −5.31165 + 2.36490i −0.323857 + 0.144190i −0.562225 0.826985i \(-0.690054\pi\)
0.238368 + 0.971175i \(0.423388\pi\)
\(270\) −0.293089 0.124089i −0.0178368 0.00755183i
\(271\) 6.85867 15.4048i 0.416635 0.935777i −0.576314 0.817229i \(-0.695509\pi\)
0.992948 0.118548i \(-0.0378240\pi\)
\(272\) −38.9734 6.17279i −2.36311 0.374280i
\(273\) 0.882266 1.56556i 0.0533972 0.0947521i
\(274\) 28.5343i 1.72382i
\(275\) −26.7109 4.65894i −1.61073 0.280945i
\(276\) 54.3670 + 31.3888i 3.27251 + 1.88938i
\(277\) −17.4987 + 11.3638i −1.05139 + 0.682782i −0.950059 0.312071i \(-0.898977\pi\)
−0.101333 + 0.994853i \(0.532311\pi\)
\(278\) 13.5614 5.20574i 0.813359 0.312219i
\(279\) −9.72661 + 7.06679i −0.582317 + 0.423078i
\(280\) −5.29713 + 41.0645i −0.316564 + 2.45407i
\(281\) −10.0464 7.29912i −0.599316 0.435429i 0.246320 0.969189i \(-0.420779\pi\)
−0.845636 + 0.533760i \(0.820779\pi\)
\(282\) 21.0625 + 5.64367i 1.25425 + 0.336076i
\(283\) 1.77767 4.63100i 0.105672 0.275284i −0.870542 0.492094i \(-0.836232\pi\)
0.976214 + 0.216809i \(0.0695650\pi\)
\(284\) −4.73853 + 4.26659i −0.281180 + 0.253176i
\(285\) 0.0779796 0.0808998i 0.00461911 0.00479209i
\(286\) 3.70957 1.20531i 0.219351 0.0712715i
\(287\) 12.1801 + 8.65697i 0.718967 + 0.511005i
\(288\) 22.7163 11.5745i 1.33857 0.682035i
\(289\) 2.60629 + 2.34672i 0.153311 + 0.138042i
\(290\) −3.11742 + 2.62074i −0.183061 + 0.153895i
\(291\) −22.9647 25.5049i −1.34622 1.49512i
\(292\) −30.0020 + 24.2951i −1.75573 + 1.42176i
\(293\) 7.51221 7.51221i 0.438868 0.438868i −0.452763 0.891631i \(-0.649562\pi\)
0.891631 + 0.452763i \(0.149562\pi\)
\(294\) 41.8467 14.5672i 2.44055 0.849577i
\(295\) −8.56699 9.16996i −0.498790 0.533896i
\(296\) −0.151878 0.0676204i −0.00882773 0.00393036i
\(297\) −0.187619 + 0.231690i −0.0108867 + 0.0134440i
\(298\) −3.70858 5.71071i −0.214832 0.330812i
\(299\) 0.758354 + 1.31351i 0.0438568 + 0.0759621i
\(300\) −49.3366 29.5204i −2.84845 1.70436i
\(301\) −7.55291 14.4494i −0.435342 0.832849i
\(302\) −11.6552 5.93860i −0.670679 0.341728i
\(303\) −1.88218 4.90325i −0.108129 0.281685i
\(304\) −0.0187203 0.178111i −0.00107368 0.0102154i
\(305\) 3.25130 + 2.82104i 0.186169 + 0.161532i
\(306\) −34.7185 3.64906i −1.98472 0.208603i
\(307\) −2.99332 2.99332i −0.170838 0.170838i 0.616510 0.787347i \(-0.288546\pi\)
−0.787347 + 0.616510i \(0.788546\pi\)
\(308\) 61.9274 + 26.8026i 3.52864 + 1.52722i
\(309\) −23.6840 7.69540i −1.34734 0.437776i
\(310\) 20.6299 10.9936i 1.17170 0.624393i
\(311\) −0.840907 + 3.95616i −0.0476835 + 0.224333i −0.995537 0.0943736i \(-0.969915\pi\)
0.947853 + 0.318707i \(0.103248\pi\)
\(312\) 4.74713 + 0.248786i 0.268753 + 0.0140848i
\(313\) 7.81404 12.0326i 0.441676 0.680121i −0.545796 0.837918i \(-0.683773\pi\)
0.987472 + 0.157797i \(0.0504393\pi\)
\(314\) 5.02199 + 15.4561i 0.283407 + 0.872238i
\(315\) −1.33619 + 17.5645i −0.0752855 + 0.989645i
\(316\) 3.68876 11.3528i 0.207509 0.638646i
\(317\) 14.3918 + 17.7724i 0.808322 + 0.998195i 0.999860 + 0.0167098i \(0.00531916\pi\)
−0.191538 + 0.981485i \(0.561348\pi\)
\(318\) −6.10103 22.7693i −0.342129 1.27684i
\(319\) 1.55165 + 3.48506i 0.0868756 + 0.195126i
\(320\) −10.0219 + 3.46117i −0.560239 + 0.193485i
\(321\) −9.08496 12.5044i −0.507073 0.697926i
\(322\) −7.39397 + 36.6592i −0.412050 + 2.04294i
\(323\) −0.0422552 + 0.0829304i −0.00235114 + 0.00461437i
\(324\) −36.9304 + 21.3218i −2.05169 + 1.18454i
\(325\) −0.675673 1.21365i −0.0374796 0.0673211i
\(326\) 25.2784 43.7835i 1.40004 2.42494i
\(327\) 41.1219 2.15511i 2.27405 0.119178i
\(328\) −6.18360 + 39.0417i −0.341432 + 2.15572i
\(329\) 0.571759 + 9.09614i 0.0315221 + 0.501486i
\(330\) −56.0873 + 52.3993i −3.08751 + 2.88449i
\(331\) −3.52843 + 33.5708i −0.193940 + 1.84522i 0.274337 + 0.961634i \(0.411542\pi\)
−0.468277 + 0.883582i \(0.655125\pi\)
\(332\) −31.0435 + 8.31808i −1.70373 + 0.456514i
\(333\) −0.0660319 0.0253473i −0.00361852 0.00138902i
\(334\) −45.3687 + 9.64341i −2.48246 + 0.527664i
\(335\) −11.5946 + 31.9478i −0.633482 + 1.74550i
\(336\) 40.2687 + 39.4385i 2.19684 + 2.15155i
\(337\) 11.5586 + 22.6851i 0.629640 + 1.23574i 0.956794 + 0.290766i \(0.0939102\pi\)
−0.327155 + 0.944971i \(0.606090\pi\)
\(338\) −28.0601 18.2224i −1.52627 0.991170i
\(339\) 5.08316 + 1.08046i 0.276080 + 0.0586825i
\(340\) 46.2204 + 11.4787i 2.50665 + 0.622517i
\(341\) −4.55255 21.4181i −0.246535 1.15985i
\(342\) −0.0247861 0.156493i −0.00134028 0.00846217i
\(343\) 11.3487 + 14.6358i 0.612772 + 0.790260i
\(344\) 25.3506 34.8922i 1.36682 1.88126i
\(345\) −24.4649 17.0968i −1.31714 0.920461i
\(346\) −39.6570 + 4.16812i −2.13197 + 0.224079i
\(347\) −0.172059 0.139330i −0.00923659 0.00747964i 0.624691 0.780872i \(-0.285225\pi\)
−0.633928 + 0.773392i \(0.718558\pi\)
\(348\) 0.423356 + 8.07812i 0.0226943 + 0.433033i
\(349\) 9.15927 0.490285 0.245142 0.969487i \(-0.421165\pi\)
0.245142 + 0.969487i \(0.421165\pi\)
\(350\) 7.29471 33.4641i 0.389919 1.78873i
\(351\) −0.0152731 −0.000815219
\(352\) 2.43013 + 46.3695i 0.129526 + 2.47151i
\(353\) −15.3807 12.4551i −0.818634 0.662917i 0.125641 0.992076i \(-0.459901\pi\)
−0.944274 + 0.329159i \(0.893235\pi\)
\(354\) −35.3301 + 3.71334i −1.87777 + 0.197362i
\(355\) 2.41941 1.82666i 0.128409 0.0969492i
\(356\) 22.6759 31.2107i 1.20182 1.65416i
\(357\) −6.38840 28.5877i −0.338110 1.51302i
\(358\) 0.204089 + 1.28856i 0.0107864 + 0.0681027i
\(359\) 1.99733 + 9.39672i 0.105415 + 0.495940i 0.998902 + 0.0468502i \(0.0149183\pi\)
−0.893487 + 0.449090i \(0.851748\pi\)
\(360\) −43.1875 + 17.4954i −2.27618 + 0.922087i
\(361\) 18.5844 + 3.95023i 0.978126 + 0.207907i
\(362\) −26.7070 17.3437i −1.40369 0.911567i
\(363\) 20.4311 + 40.0984i 1.07236 + 2.10462i
\(364\) 0.929448 + 3.32964i 0.0487163 + 0.174521i
\(365\) 15.2070 10.2777i 0.795970 0.537960i
\(366\) 11.9193 2.53352i 0.623029 0.132429i
\(367\) −15.0988 5.79588i −0.788151 0.302543i −0.0691990 0.997603i \(-0.522044\pi\)
−0.718952 + 0.695060i \(0.755378\pi\)
\(368\) −45.9507 + 12.3125i −2.39535 + 0.641832i
\(369\) −1.75785 + 16.7248i −0.0915098 + 0.870658i
\(370\) 0.120341 + 0.0665610i 0.00625626 + 0.00346034i
\(371\) 8.20683 5.45193i 0.426077 0.283050i
\(372\) 7.26331 45.8588i 0.376585 2.37767i
\(373\) −14.5461 + 0.762331i −0.753171 + 0.0394720i −0.425057 0.905166i \(-0.639746\pi\)
−0.328113 + 0.944638i \(0.606413\pi\)
\(374\) 31.7899 55.0617i 1.64382 2.84717i
\(375\) 22.1588 + 16.0056i 1.14427 + 0.826524i
\(376\) −20.8791 + 12.0545i −1.07676 + 0.621665i
\(377\) −0.0887258 + 0.174134i −0.00456961 + 0.00896837i
\(378\) −0.282469 0.249059i −0.0145286 0.0128102i
\(379\) −12.1419 16.7119i −0.623687 0.858432i 0.373928 0.927458i \(-0.378011\pi\)
−0.997615 + 0.0690260i \(0.978011\pi\)
\(380\) 0.00397218 + 0.216115i 0.000203768 + 0.0110865i
\(381\) 10.3927 + 23.3423i 0.532433 + 1.19586i
\(382\) −8.96278 33.4496i −0.458576 1.71143i
\(383\) −21.5547 26.6178i −1.10139 1.36011i −0.926840 0.375458i \(-0.877486\pi\)
−0.174552 0.984648i \(-0.555848\pi\)
\(384\) 3.66321 11.2742i 0.186937 0.575333i
\(385\) −28.2340 15.2344i −1.43894 0.776419i
\(386\) −1.99918 6.15283i −0.101755 0.313171i
\(387\) 9.99347 15.3886i 0.507997 0.782247i
\(388\) 65.9305 + 3.45527i 3.34711 + 0.175415i
\(389\) −0.617880 + 2.90689i −0.0313277 + 0.147385i −0.991032 0.133628i \(-0.957337\pi\)
0.959704 + 0.281014i \(0.0906706\pi\)
\(390\) −3.89444 0.543656i −0.197203 0.0275291i
\(391\) 23.5131 + 7.63989i 1.18911 + 0.386366i
\(392\) −21.3274 + 44.1049i −1.07719 + 2.22763i
\(393\) 32.0585 + 32.0585i 1.61713 + 1.61713i
\(394\) −66.4045 6.97939i −3.34541 0.351617i
\(395\) −2.21269 + 5.22621i −0.111333 + 0.262959i
\(396\) 7.93792 + 75.5242i 0.398895 + 3.79524i
\(397\) −6.49782 16.9274i −0.326116 0.849562i −0.994403 0.105658i \(-0.966305\pi\)
0.668286 0.743904i \(-0.267028\pi\)
\(398\) 43.8668 + 22.3513i 2.19884 + 1.12037i
\(399\) 0.117825 0.0615887i 0.00589861 0.00308329i
\(400\) 42.2542 10.6182i 2.11271 0.530909i
\(401\) 14.8272 + 25.6815i 0.740436 + 1.28247i 0.952297 + 0.305172i \(0.0987141\pi\)
−0.211862 + 0.977300i \(0.567953\pi\)
\(402\) 52.4003 + 80.6895i 2.61349 + 4.02442i
\(403\) 0.705946 0.871771i 0.0351657 0.0434260i
\(404\) 9.22985 + 4.10939i 0.459202 + 0.204450i
\(405\) 18.3668 8.58528i 0.912656 0.426606i
\(406\) −4.48055 + 1.77368i −0.222366 + 0.0880262i
\(407\) 0.0910876 0.0910876i 0.00451505 0.00451505i
\(408\) 60.2187 48.7642i 2.98127 2.41419i
\(409\) −5.99960 6.66323i −0.296661 0.329476i 0.576325 0.817221i \(-0.304486\pi\)
−0.872986 + 0.487745i \(0.837820\pi\)
\(410\) 7.88097 31.7338i 0.389213 1.56722i
\(411\) −20.0244 18.0301i −0.987731 0.889357i
\(412\) 42.6837 21.7484i 2.10287 1.07147i
\(413\) −6.18032 13.5010i −0.304114 0.664342i
\(414\) −40.0270 + 13.0056i −1.96722 + 0.639188i
\(415\) 15.0453 2.66723i 0.738543 0.130929i
\(416\) −1.76777 + 1.59171i −0.0866720 + 0.0780398i
\(417\) −4.91589 + 12.8063i −0.240732 + 0.627128i
\(418\) 0.278735 + 0.0746868i 0.0136334 + 0.00365305i
\(419\) −13.9434 10.1305i −0.681179 0.494905i 0.192570 0.981283i \(-0.438318\pi\)
−0.873748 + 0.486378i \(0.838318\pi\)
\(420\) −44.3155 51.6131i −2.16238 2.51846i
\(421\) −9.71469 + 7.05813i −0.473465 + 0.343992i −0.798790 0.601610i \(-0.794526\pi\)
0.325325 + 0.945602i \(0.394526\pi\)
\(422\) 12.1535 4.66529i 0.591623 0.227103i
\(423\) −8.60220 + 5.58633i −0.418253 + 0.271617i
\(424\) 22.5711 + 13.0314i 1.09615 + 0.632863i
\(425\) −21.4224 7.33204i −1.03914 0.355656i
\(426\) 8.58181i 0.415790i
\(427\) 2.59241 + 4.38410i 0.125456 + 0.212162i
\(428\) 29.3668 + 4.65124i 1.41950 + 0.224826i
\(429\) −1.49813 + 3.36486i −0.0723304 + 0.162457i
\(430\) −23.3808 + 26.9469i −1.12752 + 1.29949i
\(431\) −20.7997 + 9.26062i −1.00189 + 0.446068i −0.841076 0.540917i \(-0.818077\pi\)
−0.160810 + 0.986985i \(0.551411\pi\)
\(432\) 0.123985 0.462720i 0.00596525 0.0222626i
\(433\) 4.17371 0.661050i 0.200576 0.0317680i −0.0553382 0.998468i \(-0.517624\pi\)
0.255914 + 0.966700i \(0.417624\pi\)
\(434\) 27.2721 4.61113i 1.30910 0.221341i
\(435\) 0.130666 3.84369i 0.00626498 0.184291i
\(436\) −53.0043 + 58.8673i −2.53845 + 2.81923i
\(437\) −0.00587264 + 0.112057i −0.000280926 + 0.00536039i
\(438\) 2.71929 51.8872i 0.129933 2.47927i
\(439\) 8.37528 9.30169i 0.399730 0.443945i −0.509355 0.860557i \(-0.670116\pi\)
0.909085 + 0.416612i \(0.136782\pi\)
\(440\) 2.88332 84.8158i 0.137457 4.04343i
\(441\) −8.07903 + 19.2131i −0.384716 + 0.914909i
\(442\) 3.21709 0.509536i 0.153021 0.0242362i
\(443\) 4.30238 16.0567i 0.204412 0.762877i −0.785216 0.619223i \(-0.787448\pi\)
0.989628 0.143655i \(-0.0458855\pi\)
\(444\) 0.249535 0.111100i 0.0118424 0.00527257i
\(445\) −12.0204 + 13.8537i −0.569822 + 0.656730i
\(446\) −28.8464 + 64.7900i −1.36591 + 3.06789i
\(447\) 6.35094 + 1.00589i 0.300389 + 0.0475770i
\(448\) −12.5446 + 0.130655i −0.592677 + 0.00617288i
\(449\) 30.5962i 1.44392i 0.691934 + 0.721961i \(0.256759\pi\)
−0.691934 + 0.721961i \(0.743241\pi\)
\(450\) 36.8396 11.3375i 1.73663 0.534456i
\(451\) −26.5246 15.3140i −1.24900 0.721108i
\(452\) −8.38403 + 5.44465i −0.394352 + 0.256095i
\(453\) 11.5321 4.42676i 0.541825 0.207987i
\(454\) 23.9479 17.3991i 1.12393 0.816582i
\(455\) −0.303735 1.61524i −0.0142393 0.0757238i
\(456\) 0.284521 + 0.206717i 0.0133239 + 0.00968041i
\(457\) 27.3640 + 7.33215i 1.28003 + 0.342984i 0.833866 0.551967i \(-0.186122\pi\)
0.446166 + 0.894950i \(0.352789\pi\)
\(458\) −9.99038 + 26.0258i −0.466820 + 1.21611i
\(459\) −0.185014 + 0.166587i −0.00863569 + 0.00777561i
\(460\) 56.5340 10.0224i 2.63591 0.467296i
\(461\) −5.27336 + 1.71342i −0.245605 + 0.0798018i −0.429233 0.903194i \(-0.641216\pi\)
0.183628 + 0.982996i \(0.441216\pi\)
\(462\) −82.5780 + 37.8014i −3.84187 + 1.75868i
\(463\) −34.5741 + 17.6164i −1.60680 + 0.818703i −0.607085 + 0.794637i \(0.707661\pi\)
−0.999710 + 0.0240660i \(0.992339\pi\)
\(464\) −4.55537 4.10167i −0.211478 0.190415i
\(465\) −5.32055 + 21.4239i −0.246735 + 0.993511i
\(466\) 12.0176 + 13.3469i 0.556706 + 0.618285i
\(467\) 14.6499 11.8632i 0.677916 0.548966i −0.227349 0.973813i \(-0.573006\pi\)
0.905265 + 0.424848i \(0.139672\pi\)
\(468\) −2.75094 + 2.75094i −0.127162 + 0.127162i
\(469\) −24.9804 + 31.5138i −1.15349 + 1.45517i
\(470\) 18.0667 8.44497i 0.833353 0.389538i
\(471\) −14.0198 6.24204i −0.646000 0.287618i
\(472\) 24.7183 30.5245i 1.13775 1.40500i
\(473\) 18.2007 + 28.0267i 0.836871 + 1.28867i
\(474\) 8.03298 + 13.9135i 0.368967 + 0.639069i
\(475\) 0.00697903 0.102529i 0.000320220 0.00470435i
\(476\) 47.5761 + 30.1965i 2.18065 + 1.38406i
\(477\) 9.87963 + 5.03392i 0.452357 + 0.230487i
\(478\) 16.3257 + 42.5300i 0.746722 + 1.94528i
\(479\) 2.02979 + 19.3122i 0.0927436 + 0.882396i 0.937673 + 0.347519i \(0.112976\pi\)
−0.844930 + 0.534878i \(0.820358\pi\)
\(480\) 18.2507 43.1066i 0.833024 1.96754i
\(481\) 0.00656315 0.000689815i 0.000299254 3.14529e-5i
\(482\) 1.95562 + 1.95562i 0.0890760 + 0.0890760i
\(483\) −21.0542 28.3529i −0.957998 1.29010i
\(484\) −82.3349 26.7522i −3.74250 1.21601i
\(485\) −31.0874 4.33974i −1.41160 0.197057i
\(486\) 11.8440 55.7216i 0.537254 2.52758i
\(487\) −1.17349 0.0615003i −0.0531761 0.00278684i 0.0257293 0.999669i \(-0.491809\pi\)
−0.0789055 + 0.996882i \(0.525143\pi\)
\(488\) −7.33785 + 11.2993i −0.332169 + 0.511495i
\(489\) 14.7531 + 45.4052i 0.667156 + 2.05330i
\(490\) 20.7224 34.8262i 0.936140 1.57329i
\(491\) 4.11148 12.6538i 0.185548 0.571059i −0.814409 0.580291i \(-0.802939\pi\)
0.999957 + 0.00923217i \(0.00293873\pi\)
\(492\) −40.8711 50.4717i −1.84261 2.27544i
\(493\) 0.824521 + 3.07716i 0.0371346 + 0.138588i
\(494\) 0.00601291 + 0.0135052i 0.000270533 + 0.000607628i
\(495\) −0.663492 36.0987i −0.0298218 1.62252i
\(496\) 20.6807 + 28.4645i 0.928591 + 1.27810i
\(497\) 3.39968 1.14390i 0.152496 0.0513110i
\(498\) 19.6373 38.5404i 0.879969 1.72704i
\(499\) 31.8592 18.3939i 1.42621 0.823426i 0.429395 0.903117i \(-0.358727\pi\)
0.996820 + 0.0796912i \(0.0253934\pi\)
\(500\) −51.9128 + 8.36985i −2.32161 + 0.374311i
\(501\) 21.8999 37.9317i 0.978414 1.69466i
\(502\) 52.4962 2.75121i 2.34302 0.122792i
\(503\) −2.14933 + 13.5703i −0.0958339 + 0.605072i 0.892296 + 0.451451i \(0.149093\pi\)
−0.988130 + 0.153621i \(0.950907\pi\)
\(504\) −55.0254 + 3.45875i −2.45102 + 0.154065i
\(505\) −4.20338 2.32490i −0.187048 0.103456i
\(506\) 8.01223 76.2313i 0.356187 3.38890i
\(507\) 30.5184 8.17737i 1.35537 0.363170i
\(508\) −45.8879 17.6147i −2.03594 0.781526i
\(509\) 25.4376 5.40692i 1.12750 0.239658i 0.393843 0.919178i \(-0.371145\pi\)
0.733657 + 0.679520i \(0.237812\pi\)
\(510\) −53.1057 + 35.8917i −2.35156 + 1.58931i
\(511\) 20.9175 5.83899i 0.925337 0.258302i
\(512\) 21.4996 + 42.1953i 0.950156 + 1.86479i
\(513\) −0.000947654 0 0.000615414i −4.18400e−5 0 2.71712e-5i
\(514\) 58.0595 + 12.3409i 2.56090 + 0.544335i
\(515\) −21.1095 + 8.55149i −0.930194 + 0.376824i
\(516\) 14.7328 + 69.3124i 0.648575 + 3.05131i
\(517\) −2.92229 18.4506i −0.128522 0.811456i
\(518\) 0.110134 + 0.119783i 0.00483899 + 0.00526297i
\(519\) 22.1332 30.4637i 0.971539 1.33721i
\(520\) 3.46974 2.61967i 0.152158 0.114880i
\(521\) 37.6789 3.96021i 1.65074 0.173500i 0.767056 0.641580i \(-0.221721\pi\)
0.883686 + 0.468081i \(0.155054\pi\)
\(522\) −4.21454 3.41287i −0.184466 0.149377i
\(523\) −0.359926 6.86781i −0.0157385 0.300308i −0.995146 0.0984131i \(-0.968623\pi\)
0.979407 0.201895i \(-0.0647100\pi\)
\(524\) −87.2146 −3.80999
\(525\) 18.8747 + 26.2643i 0.823758 + 1.14627i
\(526\) 61.5660 2.68441
\(527\) −0.956979 18.2602i −0.0416867 0.795429i
\(528\) −89.7813 72.7034i −3.90723 3.16401i
\(529\) 6.76877 0.711426i 0.294294 0.0309316i
\(530\) −17.6716 12.3495i −0.767607 0.536427i
\(531\) 9.82205 13.5189i 0.426241 0.586670i
\(532\) −0.0764947 + 0.244046i −0.00331647 + 0.0105807i
\(533\) −0.245457 1.54975i −0.0106319 0.0671272i
\(534\) 10.7953 + 50.7877i 0.467157 + 2.19780i
\(535\) −13.7193 3.40714i −0.593138 0.147304i
\(536\) −104.051 22.1167i −4.49431 0.955295i
\(537\) −1.03323 0.670988i −0.0445872 0.0289553i
\(538\) 6.83419 + 13.4128i 0.294643 + 0.578269i
\(539\) −25.9821 27.6745i −1.11913 1.19202i
\(540\) −0.197243 + 0.543484i −0.00848799 + 0.0233878i
\(541\) −30.6338 + 6.51141i −1.31705 + 0.279947i −0.812260 0.583296i \(-0.801763\pi\)
−0.504789 + 0.863243i \(0.668430\pi\)
\(542\) −40.7586 15.6458i −1.75073 0.672043i
\(543\) 29.0468 7.78305i 1.24652 0.334003i
\(544\) −4.05312 + 38.5628i −0.173776 + 1.65337i
\(545\) 27.5198 25.7103i 1.17882 1.10131i
\(546\) −4.16731 2.06897i −0.178344 0.0885436i
\(547\) 5.53710 34.9599i 0.236749 1.49478i −0.527333 0.849659i \(-0.676808\pi\)
0.764082 0.645119i \(-0.223192\pi\)
\(548\) 51.7634 2.71280i 2.21122 0.115885i
\(549\) −2.86594 + 4.96396i −0.122315 + 0.211857i
\(550\) −8.42636 + 69.6924i −0.359301 + 2.97169i
\(551\) −0.0125217 + 0.00722943i −0.000533444 + 0.000307984i
\(552\) 42.4107 83.2357i 1.80512 3.54275i
\(553\) −4.44108 + 5.03684i −0.188854 + 0.214188i
\(554\) 31.7521 + 43.7030i 1.34902 + 1.85676i
\(555\) −0.122751 + 0.0423935i −0.00521049 + 0.00179951i
\(556\) −10.7329 24.1065i −0.455177 1.02234i
\(557\) 0.533128 + 1.98966i 0.0225893 + 0.0843046i 0.976300 0.216420i \(-0.0694381\pi\)
−0.953711 + 0.300725i \(0.902771\pi\)
\(558\) 19.5892 + 24.1906i 0.829276 + 1.02407i
\(559\) −0.529037 + 1.62821i −0.0223759 + 0.0688659i
\(560\) 51.4017 + 3.91030i 2.17212 + 0.165240i
\(561\) 18.5533 + 57.1012i 0.783321 + 2.41081i
\(562\) −17.5106 + 26.9640i −0.738640 + 1.13741i
\(563\) −32.8856 1.72346i −1.38596 0.0726352i −0.655297 0.755371i \(-0.727457\pi\)
−0.730665 + 0.682736i \(0.760790\pi\)
\(564\) 8.23561 38.7455i 0.346782 1.63148i
\(565\) 4.19446 2.23521i 0.176462 0.0940359i
\(566\) −12.2143 3.96868i −0.513407 0.166816i
\(567\) 23.8301 2.75586i 1.00077 0.115735i
\(568\) 6.70933 + 6.70933i 0.281517 + 0.281517i
\(569\) −9.03713 0.949841i −0.378856 0.0398194i −0.0868133 0.996225i \(-0.527668\pi\)
−0.292043 + 0.956405i \(0.594335\pi\)
\(570\) −0.219733 0.190655i −0.00920360 0.00798564i
\(571\) −3.95668 37.6453i −0.165582 1.57541i −0.689912 0.723893i \(-0.742351\pi\)
0.524330 0.851515i \(-0.324316\pi\)
\(572\) −2.53920 6.61485i −0.106169 0.276581i
\(573\) 29.1372 + 14.8461i 1.21722 + 0.620206i
\(574\) 20.7322 32.6646i 0.865346 1.36339i
\(575\) −27.1891 + 2.42941i −1.13387 + 0.101313i
\(576\) −7.05920 12.2269i −0.294133 0.509454i
\(577\) −9.69437 14.9280i −0.403582 0.621462i 0.577192 0.816608i \(-0.304148\pi\)
−0.980774 + 0.195147i \(0.937482\pi\)
\(578\) 5.71429 7.05656i 0.237683 0.293514i
\(579\) 5.58109 + 2.48486i 0.231942 + 0.103267i
\(580\) 5.05061 + 5.40609i 0.209715 + 0.224476i
\(581\) 17.8853 + 2.64211i 0.742007 + 0.109613i
\(582\) −62.8313 + 62.8313i −2.60444 + 2.60444i
\(583\) −15.6940 + 12.7088i −0.649981 + 0.526344i
\(584\) 38.4399 + 42.6918i 1.59065 + 1.76660i
\(585\) 1.41581 1.19024i 0.0585366 0.0492103i
\(586\) −20.4408 18.4049i −0.844400 0.760301i
\(587\) −36.5596 + 18.6280i −1.50898 + 0.768861i −0.995984 0.0895323i \(-0.971463\pi\)
−0.512991 + 0.858394i \(0.671463\pi\)
\(588\) −30.4045 74.5282i −1.25386 3.07349i
\(589\) 0.0789291 0.0256456i 0.00325222 0.00105671i
\(590\) −22.5481 + 23.3925i −0.928292 + 0.963055i
\(591\) 46.8572 42.1904i 1.92745 1.73548i
\(592\) −0.0741778 + 0.193240i −0.00304869 + 0.00794210i
\(593\) −2.54876 0.682938i −0.104665 0.0280449i 0.206106 0.978530i \(-0.433921\pi\)
−0.310771 + 0.950485i \(0.600587\pi\)
\(594\) 0.624457 + 0.453694i 0.0256218 + 0.0186153i
\(595\) −21.2971 16.2536i −0.873098 0.666334i
\(596\) −10.0071 + 7.27057i −0.409906 + 0.297814i
\(597\) −43.4037 + 16.6611i −1.77639 + 0.681894i
\(598\) 3.29332 2.13871i 0.134674 0.0874583i
\(599\) −15.2314 8.79385i −0.622338 0.359307i 0.155441 0.987845i \(-0.450320\pi\)
−0.777779 + 0.628538i \(0.783654\pi\)
\(600\) −40.0260 + 75.6149i −1.63405 + 3.08697i
\(601\) 4.58675i 0.187097i 0.995615 + 0.0935487i \(0.0298211\pi\)
−0.995615 + 0.0935487i \(0.970179\pi\)
\(602\) −36.3355 + 21.4860i −1.48092 + 0.875702i
\(603\) −44.6990 7.07963i −1.82029 0.288305i
\(604\) −9.66500 + 21.7079i −0.393263 + 0.883284i
\(605\) 37.9024 + 16.0473i 1.54095 + 0.652415i
\(606\) −12.4223 + 5.53078i −0.504623 + 0.224673i
\(607\) −0.136476 + 0.509336i −0.00553939 + 0.0206733i −0.968640 0.248468i \(-0.920073\pi\)
0.963101 + 0.269141i \(0.0867397\pi\)
\(608\) −0.173821 + 0.0275306i −0.00704938 + 0.00111651i
\(609\) 1.58643 4.26505i 0.0642855 0.172828i
\(610\) 6.85326 8.78851i 0.277480 0.355836i
\(611\) 0.640361 0.711193i 0.0259062 0.0287718i
\(612\) −3.31893 + 63.3290i −0.134160 + 2.55992i
\(613\) −0.0854926 + 1.63130i −0.00345301 + 0.0658874i −0.999813 0.0193637i \(-0.993836\pi\)
0.996359 + 0.0852512i \(0.0271693\pi\)
\(614\) −7.33364 + 8.14483i −0.295962 + 0.328699i
\(615\) 17.2900 + 25.5824i 0.697199 + 1.03158i
\(616\) 35.0067 94.1137i 1.41046 3.79195i
\(617\) −3.65372 + 0.578692i −0.147093 + 0.0232973i −0.229547 0.973298i \(-0.573724\pi\)
0.0824536 + 0.996595i \(0.473724\pi\)
\(618\) −16.6873 + 62.2778i −0.671261 + 2.50518i
\(619\) 12.2539 5.45579i 0.492526 0.219287i −0.145417 0.989371i \(-0.546452\pi\)
0.637943 + 0.770084i \(0.279786\pi\)
\(620\) −21.9045 36.3790i −0.879707 1.46102i
\(621\) −0.122080 + 0.274195i −0.00489889 + 0.0110031i
\(622\) 10.3426 + 1.63811i 0.414700 + 0.0656821i
\(623\) −18.6806 + 11.0462i −0.748421 + 0.442558i
\(624\) 5.91843i 0.236927i
\(625\) 24.9325 1.83613i 0.997299 0.0734453i
\(626\) −32.1690 18.5728i −1.28573 0.742318i
\(627\) −0.228538 + 0.148414i −0.00912693 + 0.00592710i
\(628\) 27.5611 10.5797i 1.09981 0.422177i
\(629\) 0.0870278 0.0632294i 0.00347003 0.00252112i
\(630\) 45.5940 + 1.07472i 1.81651 + 0.0428178i
\(631\) −2.90402 2.10989i −0.115607 0.0839935i 0.528479 0.848946i \(-0.322762\pi\)
−0.644087 + 0.764953i \(0.722762\pi\)
\(632\) −17.1580 4.59746i −0.682507 0.182877i
\(633\) −4.40553 + 11.4768i −0.175104 + 0.456162i
\(634\) 44.0004 39.6181i 1.74748 1.57344i
\(635\) 21.0133 + 10.2248i 0.833888 + 0.405761i
\(636\) −40.7253 + 13.2325i −1.61486 + 0.524701i
\(637\) 0.264143 1.92666i 0.0104657 0.0763369i
\(638\) 8.80037 4.48401i 0.348410 0.177524i
\(639\) 2.99989 + 2.70111i 0.118674 + 0.106854i
\(640\) −4.07072 10.0486i −0.160909 0.397207i
\(641\) 19.9539 + 22.1611i 0.788133 + 0.875310i 0.994668 0.103129i \(-0.0328854\pi\)
−0.206535 + 0.978439i \(0.566219\pi\)
\(642\) −31.0991 + 25.1835i −1.22738 + 0.993915i
\(643\) 30.4036 30.4036i 1.19900 1.19900i 0.224535 0.974466i \(-0.427914\pi\)
0.974466 0.224535i \(-0.0720863\pi\)
\(644\) 67.2056 + 9.92798i 2.64827 + 0.391217i
\(645\) −4.13668 33.4349i −0.162881 1.31650i
\(646\) 0.220142 + 0.0980137i 0.00866139 + 0.00385630i
\(647\) 22.1589 27.3639i 0.871155 1.07579i −0.125338 0.992114i \(-0.540002\pi\)
0.996493 0.0836728i \(-0.0266650\pi\)
\(648\) 34.5610 + 53.2193i 1.35768 + 2.09065i
\(649\) 15.2169 + 26.3564i 0.597315 + 1.03458i
\(650\) −3.04634 + 1.91141i −0.119487 + 0.0749715i
\(651\) −13.9966 + 22.0523i −0.548570 + 0.864299i
\(652\) −81.8300 41.6945i −3.20471 1.63288i
\(653\) 2.68227 + 6.98754i 0.104965 + 0.273444i 0.975997 0.217782i \(-0.0698823\pi\)
−0.871032 + 0.491226i \(0.836549\pi\)
\(654\) −11.1441 106.029i −0.435767 4.14605i
\(655\) 41.3106 + 3.57572i 1.61414 + 0.139715i
\(656\) 48.9445 + 5.14427i 1.91096 + 0.200850i
\(657\) 17.2820 + 17.2820i 0.674235 + 0.674235i
\(658\) 23.4406 2.71082i 0.913810 0.105679i
\(659\) 18.3227 + 5.95342i 0.713753 + 0.231912i 0.643313 0.765604i \(-0.277560\pi\)
0.0704403 + 0.997516i \(0.477560\pi\)
\(660\) 100.389 + 96.7651i 3.90763 + 3.76658i
\(661\) 4.30614 20.2588i 0.167489 0.787975i −0.811547 0.584288i \(-0.801374\pi\)
0.979036 0.203687i \(-0.0652926\pi\)
\(662\) 87.2754 + 4.57391i 3.39205 + 0.177770i
\(663\) −1.67522 + 2.57961i −0.0650601 + 0.100184i
\(664\) 14.7786 + 45.4839i 0.573521 + 1.76512i
\(665\) 0.0462386 0.112460i 0.00179306 0.00436101i
\(666\) −0.0565881 + 0.174160i −0.00219274 + 0.00674857i
\(667\) 2.41700 + 2.98475i 0.0935868 + 0.115570i
\(668\) 21.8072 + 81.3855i 0.843745 + 3.14890i
\(669\) −27.2402 61.1826i −1.05317 2.36545i
\(670\) 84.1723 + 25.6490i 3.25186 + 0.990906i
\(671\) −6.13605 8.44555i −0.236880 0.326037i
\(672\) 36.6308 41.5447i 1.41306 1.60262i
\(673\) −14.0858 + 27.6449i −0.542968 + 1.06563i 0.442658 + 0.896691i \(0.354036\pi\)
−0.985626 + 0.168944i \(0.945964\pi\)
\(674\) 57.0862 32.9588i 2.19888 1.26952i
\(675\) 0.115710 0.249343i 0.00445367 0.00959722i
\(676\) −30.3892 + 52.6357i −1.16882 + 2.02445i
\(677\) −26.9492 + 1.41235i −1.03574 + 0.0542809i −0.562620 0.826716i \(-0.690206\pi\)
−0.473122 + 0.880997i \(0.656873\pi\)
\(678\) 2.10476 13.2889i 0.0808329 0.510359i
\(679\) −33.2656 16.5155i −1.27662 0.633808i
\(680\) 13.4580 69.5790i 0.516092 2.66823i
\(681\) −2.92189 + 27.7999i −0.111967 + 1.06529i
\(682\) −54.7596 + 14.6728i −2.09685 + 0.561851i
\(683\) −30.2309 11.6045i −1.15675 0.444036i −0.297066 0.954857i \(-0.596008\pi\)
−0.859687 + 0.510821i \(0.829341\pi\)
\(684\) −0.281534 + 0.0598419i −0.0107647 + 0.00228811i
\(685\) −24.6298 0.837291i −0.941055 0.0319912i
\(686\) 36.3032 31.3252i 1.38606 1.19600i
\(687\) −11.9514 23.4560i −0.455975 0.894901i
\(688\) −45.0341 29.2455i −1.71691 1.11497i
\(689\) −1.01195 0.215097i −0.0385523 0.00819455i
\(690\) −40.8888 + 65.5706i −1.55661 + 2.49623i
\(691\) 3.76383 + 17.7074i 0.143183 + 0.673622i 0.989922 + 0.141614i \(0.0452291\pi\)
−0.846739 + 0.532008i \(0.821438\pi\)
\(692\) 11.3316 + 71.5446i 0.430761 + 2.71972i
\(693\) 12.7773 40.7642i 0.485369 1.54850i
\(694\) −0.336925 + 0.463737i −0.0127895 + 0.0176032i
\(695\) 4.09547 + 11.8585i 0.155350 + 0.449818i
\(696\) 11.9714 1.25824i 0.453774 0.0476936i
\(697\) −19.8768 16.0960i −0.752889 0.609678i
\(698\) −1.24109 23.6813i −0.0469758 0.896351i
\(699\) −16.9601 −0.641489
\(700\) −61.4000 10.0517i −2.32070 0.379918i
\(701\) −8.89063 −0.335794 −0.167897 0.985805i \(-0.553698\pi\)
−0.167897 + 0.985805i \(0.553698\pi\)
\(702\) 0.00206951 + 0.0394887i 7.81088e−5 + 0.00149040i
\(703\) 0.000379430 0 0.000307256i 1.43105e−5 0 1.15884e-5i
\(704\) 25.5725 2.68777i 0.963798 0.101299i
\(705\) −5.48946 + 18.0148i −0.206745 + 0.678475i
\(706\) −30.1185 + 41.4546i −1.13353 + 1.56016i
\(707\) −3.84683 4.18388i −0.144675 0.157351i
\(708\) 10.0952 + 63.7385i 0.379401 + 2.39544i
\(709\) −1.90273 8.95164i −0.0714585 0.336186i 0.927867 0.372912i \(-0.121641\pi\)
−0.999325 + 0.0367258i \(0.988307\pi\)
\(710\) −5.05067 6.00787i −0.189548 0.225471i
\(711\) −7.39203 1.57122i −0.277223 0.0589255i
\(712\) −48.1461 31.2665i −1.80435 1.17176i
\(713\) −10.0080 19.6419i −0.374804 0.735594i
\(714\) −73.0481 + 20.3909i −2.73375 + 0.763110i
\(715\) 0.931530 + 3.23733i 0.0348373 + 0.121069i
\(716\) 2.31815 0.492739i 0.0866334 0.0184145i
\(717\) −40.1620 15.4167i −1.49988 0.575748i
\(718\) 24.0246 6.43738i 0.896591 0.240241i
\(719\) −4.94586 + 47.0567i −0.184450 + 1.75492i 0.375897 + 0.926662i \(0.377335\pi\)
−0.560346 + 0.828258i \(0.689332\pi\)
\(720\) 24.5665 + 52.5562i 0.915540 + 1.95865i
\(721\) −26.8956 + 1.69059i −1.00164 + 0.0629607i
\(722\) 7.69515 48.5853i 0.286384 1.80816i
\(723\) −2.60810 + 0.136685i −0.0969961 + 0.00508335i
\(724\) −28.9238 + 50.0975i −1.07495 + 1.86186i
\(725\) −2.17066 2.76775i −0.0806162 0.102792i
\(726\) 100.906 58.2581i 3.74498 2.16216i
\(727\) −17.8237 + 34.9809i −0.661043 + 1.29737i 0.280298 + 0.959913i \(0.409567\pi\)
−0.941341 + 0.337457i \(0.890433\pi\)
\(728\) 4.87557 1.64050i 0.180701 0.0608011i
\(729\) 15.6314 + 21.5148i 0.578941 + 0.796844i
\(730\) −28.6336 37.9251i −1.05978 1.40367i
\(731\) 11.3506 + 25.4939i 0.419818 + 0.942926i
\(732\) −5.72918 21.3816i −0.211757 0.790286i
\(733\) −6.93199 8.56030i −0.256039 0.316182i 0.632877 0.774253i \(-0.281874\pi\)
−0.888916 + 0.458071i \(0.848541\pi\)
\(734\) −12.9394 + 39.8233i −0.477601 + 1.46991i
\(735\) 11.3460 + 36.5480i 0.418503 + 1.34810i
\(736\) 14.4456 + 44.4591i 0.532473 + 1.63878i
\(737\) 44.8910 69.1261i 1.65358 2.54629i
\(738\) 43.4802 + 2.27870i 1.60053 + 0.0838801i
\(739\) 6.86091 32.2780i 0.252383 1.18737i −0.651184 0.758920i \(-0.725727\pi\)
0.903567 0.428447i \(-0.140939\pi\)
\(740\) 0.109306 0.224637i 0.00401816 0.00825781i
\(741\) −0.0132769 0.00431393i −0.000487740 0.000158476i
\(742\) −15.2080 20.4800i −0.558303 0.751846i
\(743\) −2.10074 2.10074i −0.0770687 0.0770687i 0.667522 0.744590i \(-0.267355\pi\)
−0.744590 + 0.667522i \(0.767355\pi\)
\(744\) −68.7133 7.22206i −2.51915 0.264774i
\(745\) 5.03810 3.03354i 0.184582 0.111140i
\(746\) 3.94202 + 37.5058i 0.144328 + 1.37318i
\(747\) 7.29151 + 18.9950i 0.266782 + 0.694992i
\(748\) −102.909 52.4345i −3.76271 1.91720i
\(749\) −14.1217 8.96306i −0.515997 0.327503i
\(750\) 38.3799 59.4603i 1.40144 2.17118i
\(751\) −9.49836 16.4516i −0.346600 0.600329i 0.639043 0.769171i \(-0.279331\pi\)
−0.985643 + 0.168842i \(0.945997\pi\)
\(752\) 16.3482 + 25.1740i 0.596157 + 0.918001i
\(753\) −31.2403 + 38.5785i −1.13846 + 1.40588i
\(754\) 0.462247 + 0.205806i 0.0168340 + 0.00749500i
\(755\) 5.46799 9.88606i 0.199000 0.359790i
\(756\) −0.424957 + 0.536100i −0.0154555 + 0.0194978i
\(757\) −17.4136 + 17.4136i −0.632909 + 0.632909i −0.948797 0.315887i \(-0.897698\pi\)
0.315887 + 0.948797i \(0.397698\pi\)
\(758\) −41.5634 + 33.6574i −1.50965 + 1.22249i
\(759\) 48.4339 + 53.7913i 1.75804 + 1.95250i
\(760\) 0.320844 0.0227337i 0.0116383 0.000824640i
\(761\) 24.5170 + 22.0752i 0.888741 + 0.800226i 0.980696 0.195537i \(-0.0626449\pi\)
−0.0919551 + 0.995763i \(0.529312\pi\)
\(762\) 58.9435 30.0332i 2.13530 1.08799i
\(763\) 40.5177 18.5477i 1.46684 0.671471i
\(764\) −59.8280 + 19.4393i −2.16450 + 0.703289i
\(765\) 4.16850 29.8607i 0.150712 1.07962i
\(766\) −65.8997 + 59.3364i −2.38105 + 2.14391i
\(767\) −0.558739 + 1.45556i −0.0201749 + 0.0525574i
\(768\) −52.0416 13.9445i −1.87789 0.503179i
\(769\) 11.2664 + 8.18549i 0.406275 + 0.295176i 0.772092 0.635511i \(-0.219210\pi\)
−0.365817 + 0.930687i \(0.619210\pi\)
\(770\) −35.5630 + 75.0634i −1.28160 + 2.70510i
\(771\) −45.3468 + 32.9464i −1.63312 + 1.18653i
\(772\) &minus