Properties

Label 128.3.l.a.3.13
Level 128
Weight 3
Character 128.3
Analytic conductor 3.488
Analytic rank 0
Dimension 496
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 128 = 2^{7} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 128.l (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.48774738381\)
Analytic rank: \(0\)
Dimension: \(496\)
Relative dimension: \(31\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 3.13
Character \(\chi\) \(=\) 128.3
Dual form 128.3.l.a.43.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.630182 + 1.89812i) q^{2} +(-2.02704 + 1.66355i) q^{3} +(-3.20574 - 2.39233i) q^{4} +(-2.42484 - 0.735568i) q^{5} +(-1.88021 - 4.89591i) q^{6} +(-0.539873 - 2.71413i) q^{7} +(6.56113 - 4.57729i) q^{8} +(-0.414318 + 2.08292i) q^{9} +O(q^{10})\) \(q+(-0.630182 + 1.89812i) q^{2} +(-2.02704 + 1.66355i) q^{3} +(-3.20574 - 2.39233i) q^{4} +(-2.42484 - 0.735568i) q^{5} +(-1.88021 - 4.89591i) q^{6} +(-0.539873 - 2.71413i) q^{7} +(6.56113 - 4.57729i) q^{8} +(-0.414318 + 2.08292i) q^{9} +(2.92429 - 4.13911i) q^{10} +(-1.71554 - 17.4182i) q^{11} +(10.4779 - 0.483563i) q^{12} +(-0.950147 - 3.13221i) q^{13} +(5.49196 + 0.685648i) q^{14} +(6.13890 - 2.54282i) q^{15} +(4.55355 + 15.3384i) q^{16} +(-2.88229 + 6.95847i) q^{17} +(-3.69253 - 2.09904i) q^{18} +(12.6094 - 23.5904i) q^{19} +(6.01370 + 8.15906i) q^{20} +(5.60942 + 4.60353i) q^{21} +(34.1430 + 7.72032i) q^{22} +(-22.5962 + 15.0983i) q^{23} +(-5.68513 + 20.1931i) q^{24} +(-15.4479 - 10.3220i) q^{25} +(6.54409 + 0.170371i) q^{26} +(-13.7503 - 25.7251i) q^{27} +(-4.76238 + 9.99233i) q^{28} +(-0.0540521 + 0.548800i) q^{29} +(0.957951 + 13.2548i) q^{30} +(-29.1550 - 29.1550i) q^{31} +(-31.9837 - 1.02277i) q^{32} +(32.4535 + 32.4535i) q^{33} +(-11.3917 - 9.85604i) q^{34} +(-0.687316 + 6.97844i) q^{35} +(6.31121 - 5.68610i) q^{36} +(-0.0272610 - 0.0510018i) q^{37} +(36.8314 + 38.8004i) q^{38} +(7.13657 + 4.76851i) q^{39} +(-19.2766 + 6.27304i) q^{40} +(-31.0621 + 20.7550i) q^{41} +(-12.2730 + 7.74631i) q^{42} +(-30.8908 - 25.3514i) q^{43} +(-36.1704 + 59.9423i) q^{44} +(2.53678 - 4.74598i) q^{45} +(-14.4187 - 52.4051i) q^{46} +(-19.1031 + 46.1190i) q^{47} +(-34.7463 - 23.5164i) q^{48} +(38.1951 - 15.8209i) q^{49} +(29.3274 - 22.8174i) q^{50} +(-5.73322 - 18.8999i) q^{51} +(-4.44736 + 12.3141i) q^{52} +(0.466326 + 4.73468i) q^{53} +(57.4946 - 9.88835i) q^{54} +(-8.65234 + 43.4983i) q^{55} +(-15.9655 - 15.3366i) q^{56} +(13.6842 + 68.7950i) q^{57} +(-1.00763 - 0.448441i) q^{58} +(18.9420 + 5.74600i) q^{59} +(-25.7630 - 6.53465i) q^{60} +(-33.0210 + 27.0997i) q^{61} +(73.7127 - 36.9668i) q^{62} +5.87697 q^{63} +(22.0969 - 60.0644i) q^{64} +8.29403i q^{65} +(-82.0522 + 41.1491i) q^{66} +(28.9288 + 35.2498i) q^{67} +(25.8868 - 15.4117i) q^{68} +(20.6867 - 68.1948i) q^{69} +(-12.8128 - 5.70230i) q^{70} +(64.2669 - 12.7835i) q^{71} +(6.81571 + 15.5627i) q^{72} +(76.8910 + 15.2946i) q^{73} +(0.113987 - 0.0196043i) q^{74} +(48.4847 - 4.77532i) q^{75} +(-96.8584 + 45.4592i) q^{76} +(-46.3490 + 14.0598i) q^{77} +(-13.5486 + 10.5411i) q^{78} +(-34.1007 - 82.3263i) q^{79} +(0.240774 - 40.5425i) q^{80} +(53.0088 + 21.9570i) q^{81} +(-19.8208 - 72.0391i) q^{82} +(0.388254 + 0.207526i) q^{83} +(-6.96919 - 28.1773i) q^{84} +(12.1075 - 14.7531i) q^{85} +(67.5870 - 42.6585i) q^{86} +(-0.803389 - 1.20236i) q^{87} +(-90.9839 - 106.430i) q^{88} +(-10.5423 + 15.7777i) q^{89} +(7.40983 + 7.80596i) q^{90} +(-7.98826 + 4.26982i) q^{91} +(108.558 + 5.65627i) q^{92} +(107.599 + 10.5976i) q^{93} +(-75.5011 - 65.3235i) q^{94} +(-47.9281 + 47.9281i) q^{95} +(66.5335 - 51.1331i) q^{96} +(113.647 - 113.647i) q^{97} +(5.96019 + 82.4690i) q^{98} +(36.9914 + 3.64333i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 496q - 16q^{2} - 16q^{3} - 16q^{4} - 16q^{5} - 16q^{6} - 16q^{7} - 16q^{8} - 16q^{9} + O(q^{10}) \) \( 496q - 16q^{2} - 16q^{3} - 16q^{4} - 16q^{5} - 16q^{6} - 16q^{7} - 16q^{8} - 16q^{9} - 16q^{10} - 16q^{11} - 16q^{12} - 16q^{13} - 16q^{14} - 16q^{15} - 16q^{16} - 16q^{17} - 16q^{18} - 16q^{19} - 16q^{20} - 16q^{21} - 16q^{22} - 16q^{23} - 16q^{24} - 16q^{25} - 16q^{26} - 16q^{27} - 16q^{28} - 16q^{29} - 16q^{30} - 16q^{31} - 16q^{32} - 16q^{33} - 16q^{34} - 16q^{35} - 16q^{36} - 16q^{37} - 16q^{38} - 16q^{39} - 16q^{40} - 16q^{41} - 16q^{42} - 16q^{43} - 16q^{44} - 16q^{45} - 16q^{46} - 16q^{47} - 16q^{48} - 16q^{49} - 640q^{50} - 16q^{51} - 1072q^{52} - 16q^{53} - 1168q^{54} - 16q^{55} - 800q^{56} - 16q^{57} - 736q^{58} - 16q^{59} - 592q^{60} - 16q^{61} - 112q^{62} - 32q^{63} + 176q^{64} + 560q^{66} - 16q^{67} + 464q^{68} - 16q^{69} + 1328q^{70} - 16q^{71} + 1280q^{72} - 16q^{73} + 1216q^{74} - 16q^{75} + 1648q^{76} - 16q^{77} + 1424q^{78} - 16q^{79} + 800q^{80} - 16q^{81} - 16q^{82} - 16q^{83} - 16q^{84} - 16q^{85} - 16q^{86} - 16q^{87} - 16q^{88} - 16q^{89} - 16q^{90} - 16q^{91} - 16q^{92} - 16q^{93} - 16q^{94} - 16q^{95} - 16q^{96} - 16q^{97} - 16q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/128\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(127\)
\(\chi(n)\) \(e\left(\frac{3}{32}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.630182 + 1.89812i −0.315091 + 0.949061i
\(3\) −2.02704 + 1.66355i −0.675680 + 0.554516i −0.908438 0.418019i \(-0.862725\pi\)
0.232759 + 0.972534i \(0.425225\pi\)
\(4\) −3.20574 2.39233i −0.801435 0.598082i
\(5\) −2.42484 0.735568i −0.484969 0.147114i 0.0383263 0.999265i \(-0.487797\pi\)
−0.523295 + 0.852152i \(0.675297\pi\)
\(6\) −1.88021 4.89591i −0.313369 0.815985i
\(7\) −0.539873 2.71413i −0.0771247 0.387732i −0.999997 0.00262495i \(-0.999164\pi\)
0.922872 0.385107i \(-0.125836\pi\)
\(8\) 6.56113 4.57729i 0.820141 0.572161i
\(9\) −0.414318 + 2.08292i −0.0460353 + 0.231435i
\(10\) 2.92429 4.13911i 0.292429 0.413911i
\(11\) −1.71554 17.4182i −0.155958 1.58347i −0.680928 0.732351i \(-0.738423\pi\)
0.524969 0.851121i \(-0.324077\pi\)
\(12\) 10.4779 0.483563i 0.873159 0.0402969i
\(13\) −0.950147 3.13221i −0.0730882 0.240940i 0.912783 0.408445i \(-0.133929\pi\)
−0.985871 + 0.167505i \(0.946429\pi\)
\(14\) 5.49196 + 0.685648i 0.392283 + 0.0489749i
\(15\) 6.13890 2.54282i 0.409260 0.169521i
\(16\) 4.55355 + 15.3384i 0.284597 + 0.958647i
\(17\) −2.88229 + 6.95847i −0.169547 + 0.409321i −0.985699 0.168515i \(-0.946103\pi\)
0.816153 + 0.577836i \(0.196103\pi\)
\(18\) −3.69253 2.09904i −0.205141 0.116613i
\(19\) 12.6094 23.5904i 0.663650 1.24160i −0.294586 0.955625i \(-0.595182\pi\)
0.958236 0.285978i \(-0.0923183\pi\)
\(20\) 6.01370 + 8.15906i 0.300685 + 0.407953i
\(21\) 5.60942 + 4.60353i 0.267115 + 0.219216i
\(22\) 34.1430 + 7.72032i 1.55195 + 0.350924i
\(23\) −22.5962 + 15.0983i −0.982444 + 0.656448i −0.939471 0.342628i \(-0.888683\pi\)
−0.0429732 + 0.999076i \(0.513683\pi\)
\(24\) −5.68513 + 20.1931i −0.236880 + 0.841379i
\(25\) −15.4479 10.3220i −0.617918 0.412879i
\(26\) 6.54409 + 0.170371i 0.251696 + 0.00655272i
\(27\) −13.7503 25.7251i −0.509272 0.952781i
\(28\) −4.76238 + 9.99233i −0.170085 + 0.356869i
\(29\) −0.0540521 + 0.548800i −0.00186386 + 0.0189241i −0.996072 0.0885506i \(-0.971776\pi\)
0.994208 + 0.107475i \(0.0342765\pi\)
\(30\) 0.957951 + 13.2548i 0.0319317 + 0.441828i
\(31\) −29.1550 29.1550i −0.940484 0.940484i 0.0578418 0.998326i \(-0.481578\pi\)
−0.998326 + 0.0578418i \(0.981578\pi\)
\(32\) −31.9837 1.02277i −0.999489 0.0319617i
\(33\) 32.4535 + 32.4535i 0.983438 + 0.983438i
\(34\) −11.3917 9.85604i −0.335049 0.289884i
\(35\) −0.687316 + 6.97844i −0.0196376 + 0.199384i
\(36\) 6.31121 5.68610i 0.175311 0.157947i
\(37\) −0.0272610 0.0510018i −0.000736784 0.00137843i 0.881553 0.472086i \(-0.156499\pi\)
−0.882289 + 0.470707i \(0.843999\pi\)
\(38\) 36.8314 + 38.8004i 0.969247 + 1.02106i
\(39\) 7.13657 + 4.76851i 0.182989 + 0.122269i
\(40\) −19.2766 + 6.27304i −0.481915 + 0.156826i
\(41\) −31.0621 + 20.7550i −0.757612 + 0.506220i −0.873370 0.487057i \(-0.838070\pi\)
0.115758 + 0.993277i \(0.463070\pi\)
\(42\) −12.2730 + 7.74631i −0.292215 + 0.184436i
\(43\) −30.8908 25.3514i −0.718391 0.589568i 0.202549 0.979272i \(-0.435077\pi\)
−0.920940 + 0.389704i \(0.872577\pi\)
\(44\) −36.1704 + 59.9423i −0.822055 + 1.36233i
\(45\) 2.53678 4.74598i 0.0563729 0.105466i
\(46\) −14.4187 52.4051i −0.313450 1.13924i
\(47\) −19.1031 + 46.1190i −0.406450 + 0.981256i 0.579615 + 0.814891i \(0.303203\pi\)
−0.986064 + 0.166365i \(0.946797\pi\)
\(48\) −34.7463 23.5164i −0.723881 0.489925i
\(49\) 38.1951 15.8209i 0.779491 0.322876i
\(50\) 29.3274 22.8174i 0.586548 0.456347i
\(51\) −5.73322 18.8999i −0.112416 0.370586i
\(52\) −4.44736 + 12.3141i −0.0855261 + 0.236810i
\(53\) 0.466326 + 4.73468i 0.00879860 + 0.0893337i 0.998581 0.0532515i \(-0.0169585\pi\)
−0.989783 + 0.142585i \(0.954459\pi\)
\(54\) 57.4946 9.88835i 1.06471 0.183118i
\(55\) −8.65234 + 43.4983i −0.157315 + 0.790878i
\(56\) −15.9655 15.3366i −0.285098 0.273867i
\(57\) 13.6842 + 68.7950i 0.240073 + 1.20693i
\(58\) −1.00763 0.448441i −0.0173729 0.00773175i
\(59\) 18.9420 + 5.74600i 0.321051 + 0.0973898i 0.446697 0.894685i \(-0.352600\pi\)
−0.125646 + 0.992075i \(0.540100\pi\)
\(60\) −25.7630 6.53465i −0.429383 0.108911i
\(61\) −33.0210 + 27.0997i −0.541329 + 0.444257i −0.864898 0.501948i \(-0.832617\pi\)
0.323570 + 0.946204i \(0.395117\pi\)
\(62\) 73.7127 36.9668i 1.18892 0.596239i
\(63\) 5.87697 0.0932853
\(64\) 22.0969 60.0644i 0.345264 0.938506i
\(65\) 8.29403i 0.127600i
\(66\) −82.0522 + 41.1491i −1.24322 + 0.623471i
\(67\) 28.9288 + 35.2498i 0.431772 + 0.526116i 0.942760 0.333472i \(-0.108220\pi\)
−0.510988 + 0.859588i \(0.670720\pi\)
\(68\) 25.8868 15.4117i 0.380688 0.226642i
\(69\) 20.6867 68.1948i 0.299807 0.988330i
\(70\) −12.8128 5.70230i −0.183040 0.0814614i
\(71\) 64.2669 12.7835i 0.905167 0.180049i 0.279506 0.960144i \(-0.409829\pi\)
0.625661 + 0.780095i \(0.284829\pi\)
\(72\) 6.81571 + 15.5627i 0.0946627 + 0.216149i
\(73\) 76.8910 + 15.2946i 1.05330 + 0.209515i 0.691229 0.722635i \(-0.257069\pi\)
0.362072 + 0.932150i \(0.382069\pi\)
\(74\) 0.113987 0.0196043i 0.00154037 0.000264924i
\(75\) 48.4847 4.77532i 0.646462 0.0636710i
\(76\) −96.8584 + 45.4592i −1.27445 + 0.598147i
\(77\) −46.3490 + 14.0598i −0.601935 + 0.182595i
\(78\) −13.5486 + 10.5411i −0.173699 + 0.135142i
\(79\) −34.1007 82.3263i −0.431654 1.04210i −0.978754 0.205038i \(-0.934268\pi\)
0.547100 0.837067i \(-0.315732\pi\)
\(80\) 0.240774 40.5425i 0.00300967 0.506782i
\(81\) 53.0088 + 21.9570i 0.654430 + 0.271074i
\(82\) −19.8208 72.0391i −0.241717 0.878526i
\(83\) 0.388254 + 0.207526i 0.00467776 + 0.00250032i 0.473734 0.880668i \(-0.342906\pi\)
−0.469056 + 0.883168i \(0.655406\pi\)
\(84\) −6.96919 28.1773i −0.0829666 0.335444i
\(85\) 12.1075 14.7531i 0.142441 0.173565i
\(86\) 67.5870 42.6585i 0.785895 0.496029i
\(87\) −0.803389 1.20236i −0.00923436 0.0138202i
\(88\) −90.9839 106.430i −1.03391 1.20944i
\(89\) −10.5423 + 15.7777i −0.118453 + 0.177277i −0.885958 0.463766i \(-0.846498\pi\)
0.767505 + 0.641043i \(0.221498\pi\)
\(90\) 7.40983 + 7.80596i 0.0823314 + 0.0867329i
\(91\) −7.98826 + 4.26982i −0.0877831 + 0.0469211i
\(92\) 108.558 + 5.65627i 1.17998 + 0.0614812i
\(93\) 107.599 + 10.5976i 1.15698 + 0.113953i
\(94\) −75.5011 65.3235i −0.803204 0.694931i
\(95\) −47.9281 + 47.9281i −0.504506 + 0.504506i
\(96\) 66.5335 51.1331i 0.693058 0.532637i
\(97\) 113.647 113.647i 1.17161 1.17161i 0.189789 0.981825i \(-0.439219\pi\)
0.981825 0.189789i \(-0.0607806\pi\)
\(98\) 5.96019 + 82.4690i 0.0608182 + 0.841521i
\(99\) 36.9914 + 3.64333i 0.373650 + 0.0368014i
\(100\) 24.8285 + 70.0461i 0.248285 + 0.700461i
\(101\) −124.689 + 66.6475i −1.23454 + 0.659876i −0.953954 0.299953i \(-0.903029\pi\)
−0.280587 + 0.959829i \(0.590529\pi\)
\(102\) 39.4873 + 1.02802i 0.387131 + 0.0100787i
\(103\) −58.7335 + 87.9009i −0.570228 + 0.853407i −0.998743 0.0501281i \(-0.984037\pi\)
0.428515 + 0.903535i \(0.359037\pi\)
\(104\) −20.5711 16.2018i −0.197799 0.155786i
\(105\) −10.2158 15.2890i −0.0972929 0.145609i
\(106\) −9.28088 2.09857i −0.0875555 0.0197978i
\(107\) 122.739 149.558i 1.14709 1.39774i 0.243199 0.969976i \(-0.421803\pi\)
0.903893 0.427759i \(-0.140697\pi\)
\(108\) −17.4628 + 115.363i −0.161692 + 1.06818i
\(109\) −139.755 74.7008i −1.28216 0.685328i −0.317357 0.948306i \(-0.602795\pi\)
−0.964802 + 0.262978i \(0.915295\pi\)
\(110\) −77.1125 43.8350i −0.701023 0.398500i
\(111\) 0.140103 + 0.0580326i 0.00126219 + 0.000522816i
\(112\) 39.1719 20.6397i 0.349749 0.184283i
\(113\) 37.9796 + 91.6908i 0.336102 + 0.811423i 0.998082 + 0.0619013i \(0.0197164\pi\)
−0.661980 + 0.749522i \(0.730284\pi\)
\(114\) −139.205 17.3791i −1.22110 0.152449i
\(115\) 65.8981 19.9900i 0.573027 0.173826i
\(116\) 1.48619 1.63000i 0.0128119 0.0140517i
\(117\) 6.91780 0.681344i 0.0591265 0.00582345i
\(118\) −22.8435 + 32.3333i −0.193589 + 0.274011i
\(119\) 20.4422 + 4.06621i 0.171783 + 0.0341698i
\(120\) 28.6389 44.7833i 0.238658 0.373194i
\(121\) −181.775 + 36.1573i −1.50227 + 0.298821i
\(122\) −30.6292 79.7557i −0.251059 0.653735i
\(123\) 28.4371 93.7445i 0.231196 0.762150i
\(124\) 23.7151 + 163.212i 0.191251 + 1.31622i
\(125\) 70.0544 + 85.3615i 0.560435 + 0.682892i
\(126\) −3.70356 + 11.1552i −0.0293934 + 0.0885335i
\(127\) 65.4306i 0.515202i −0.966251 0.257601i \(-0.917068\pi\)
0.966251 0.257601i \(-0.0829320\pi\)
\(128\) 100.084 + 79.7941i 0.781910 + 0.623391i
\(129\) 104.790 0.812327
\(130\) −15.7431 5.22675i −0.121101 0.0402058i
\(131\) −126.054 + 103.450i −0.962244 + 0.789693i −0.977661 0.210188i \(-0.932592\pi\)
0.0154171 + 0.999881i \(0.495092\pi\)
\(132\) −26.3981 181.677i −0.199986 1.37634i
\(133\) −70.8349 21.4875i −0.532593 0.161560i
\(134\) −85.1388 + 32.6965i −0.635364 + 0.244004i
\(135\) 14.4199 + 72.4936i 0.106814 + 0.536989i
\(136\) 12.9398 + 58.8485i 0.0951457 + 0.432709i
\(137\) −2.02256 + 10.1681i −0.0147632 + 0.0742198i −0.987465 0.157841i \(-0.949547\pi\)
0.972701 + 0.232061i \(0.0745467\pi\)
\(138\) 116.406 + 82.2409i 0.843519 + 0.595949i
\(139\) −2.85176 28.9544i −0.0205162 0.208305i −0.999978 0.00667359i \(-0.997876\pi\)
0.979461 0.201631i \(-0.0646243\pi\)
\(140\) 18.8981 20.7268i 0.134986 0.148048i
\(141\) −37.9984 125.264i −0.269492 0.888397i
\(142\) −16.2352 + 130.042i −0.114333 + 0.915791i
\(143\) −52.9275 + 21.9233i −0.370122 + 0.153310i
\(144\) −33.8351 + 3.12970i −0.234966 + 0.0217340i
\(145\) 0.534747 1.29099i 0.00368791 0.00890341i
\(146\) −77.4863 + 136.310i −0.530728 + 0.933632i
\(147\) −51.1041 + 95.6090i −0.347647 + 0.650401i
\(148\) −0.0346212 + 0.228716i −0.000233927 + 0.00154538i
\(149\) −150.951 123.882i −1.01309 0.831423i −0.0273393 0.999626i \(-0.508703\pi\)
−0.985752 + 0.168203i \(0.946203\pi\)
\(150\) −21.4900 + 95.0392i −0.143267 + 0.633595i
\(151\) −140.980 + 94.1996i −0.933641 + 0.623839i −0.926564 0.376136i \(-0.877252\pi\)
−0.00707617 + 0.999975i \(0.502252\pi\)
\(152\) −25.2486 212.497i −0.166109 1.39800i
\(153\) −13.2997 8.88658i −0.0869262 0.0580822i
\(154\) 2.52106 96.8363i 0.0163705 0.628807i
\(155\) 49.2508 + 92.1418i 0.317747 + 0.594463i
\(156\) −11.4702 32.3596i −0.0735268 0.207433i
\(157\) −7.84770 + 79.6790i −0.0499853 + 0.507510i 0.937297 + 0.348532i \(0.113320\pi\)
−0.987282 + 0.158978i \(0.949180\pi\)
\(158\) 177.755 12.8467i 1.12503 0.0813081i
\(159\) −8.82163 8.82163i −0.0554820 0.0554820i
\(160\) 76.8030 + 26.0062i 0.480019 + 0.162539i
\(161\) 53.1778 + 53.1778i 0.330297 + 0.330297i
\(162\) −75.0822 + 86.7803i −0.463470 + 0.535681i
\(163\) −18.0851 + 183.621i −0.110952 + 1.12651i 0.764973 + 0.644063i \(0.222752\pi\)
−0.875924 + 0.482448i \(0.839748\pi\)
\(164\) 149.230 + 7.77544i 0.909938 + 0.0474112i
\(165\) −54.8228 102.566i −0.332259 0.621614i
\(166\) −0.638581 + 0.606175i −0.00384688 + 0.00365166i
\(167\) 180.808 + 120.812i 1.08268 + 0.723426i 0.963031 0.269390i \(-0.0868219\pi\)
0.119653 + 0.992816i \(0.461822\pi\)
\(168\) 57.8758 + 4.52845i 0.344499 + 0.0269551i
\(169\) 131.610 87.9392i 0.778760 0.520351i
\(170\) 20.3732 + 32.2787i 0.119842 + 0.189875i
\(171\) 43.9126 + 36.0382i 0.256799 + 0.210750i
\(172\) 38.3790 + 155.171i 0.223134 + 0.902157i
\(173\) −66.4439 + 124.308i −0.384069 + 0.718543i −0.997459 0.0712372i \(-0.977305\pi\)
0.613390 + 0.789780i \(0.289805\pi\)
\(174\) 2.78850 0.767227i 0.0160259 0.00440935i
\(175\) −19.6752 + 47.5002i −0.112430 + 0.271430i
\(176\) 259.355 105.628i 1.47361 0.600160i
\(177\) −47.9550 + 19.8636i −0.270932 + 0.112224i
\(178\) −23.3044 29.9534i −0.130923 0.168277i
\(179\) −39.1538 129.073i −0.218736 0.721077i −0.995792 0.0916449i \(-0.970788\pi\)
0.777055 0.629432i \(-0.216712\pi\)
\(180\) −19.4862 + 9.14558i −0.108257 + 0.0508088i
\(181\) −21.4804 218.094i −0.118676 1.20494i −0.851438 0.524455i \(-0.824269\pi\)
0.732762 0.680485i \(-0.238231\pi\)
\(182\) −3.07057 17.8535i −0.0168713 0.0980960i
\(183\) 21.8533 109.864i 0.119417 0.600351i
\(184\) −79.1475 + 202.491i −0.430149 + 1.10050i
\(185\) 0.0285884 + 0.143724i 0.000154532 + 0.000776884i
\(186\) −87.9225 + 197.558i −0.472702 + 1.06214i
\(187\) 126.149 + 38.2667i 0.674591 + 0.204635i
\(188\) 171.571 102.145i 0.912614 0.543323i
\(189\) −62.3976 + 51.2084i −0.330146 + 0.270944i
\(190\) −60.7700 121.177i −0.319842 0.637773i
\(191\) −88.7294 −0.464552 −0.232276 0.972650i \(-0.574617\pi\)
−0.232276 + 0.972650i \(0.574617\pi\)
\(192\) 55.1287 + 158.512i 0.287129 + 0.825583i
\(193\) 280.329i 1.45248i −0.687442 0.726240i \(-0.741266\pi\)
0.687442 0.726240i \(-0.258734\pi\)
\(194\) 144.097 + 287.333i 0.742769 + 1.48110i
\(195\) −13.7975 16.8123i −0.0707565 0.0862170i
\(196\) −160.292 40.6573i −0.817818 0.207435i
\(197\) 105.186 346.752i 0.533939 1.76016i −0.108788 0.994065i \(-0.534697\pi\)
0.642727 0.766095i \(-0.277803\pi\)
\(198\) −30.2268 + 67.9182i −0.152661 + 0.343021i
\(199\) 357.966 71.2039i 1.79883 0.357809i 0.821609 0.570052i \(-0.193077\pi\)
0.977217 + 0.212243i \(0.0680769\pi\)
\(200\) −148.603 + 2.98578i −0.743013 + 0.0149289i
\(201\) −117.279 23.3283i −0.583480 0.116061i
\(202\) −47.9285 278.674i −0.237270 1.37958i
\(203\) 1.51869 0.149578i 0.00748125 0.000736838i
\(204\) −26.8355 + 74.3039i −0.131547 + 0.364235i
\(205\) 90.5874 27.4794i 0.441890 0.134046i
\(206\) −129.834 166.877i −0.630262 0.810082i
\(207\) −22.0865 53.3215i −0.106698 0.257592i
\(208\) 43.7165 28.8364i 0.210175 0.138636i
\(209\) −432.535 179.162i −2.06954 0.857233i
\(210\) 35.4581 9.75592i 0.168848 0.0464568i
\(211\) −270.913 144.806i −1.28395 0.686285i −0.318759 0.947836i \(-0.603266\pi\)
−0.965190 + 0.261550i \(0.915766\pi\)
\(212\) 9.83199 16.2938i 0.0463773 0.0768574i
\(213\) −109.006 + 132.824i −0.511763 + 0.623585i
\(214\) 206.531 + 327.222i 0.965098 + 1.52907i
\(215\) 56.2577 + 84.1955i 0.261664 + 0.391607i
\(216\) −207.969 105.846i −0.962819 0.490029i
\(217\) −63.3903 + 94.8703i −0.292121 + 0.437190i
\(218\) 229.863 218.198i 1.05442 1.00091i
\(219\) −181.304 + 96.9092i −0.827874 + 0.442508i
\(220\) 131.799 118.745i 0.599087 0.539750i
\(221\) 24.5340 + 2.41639i 0.111014 + 0.0109339i
\(222\) −0.198443 + 0.229362i −0.000893889 + 0.00103316i
\(223\) −236.549 + 236.549i −1.06076 + 1.06076i −0.0627254 + 0.998031i \(0.519979\pi\)
−0.998031 + 0.0627254i \(0.980021\pi\)
\(224\) 14.4912 + 87.3598i 0.0646928 + 0.389999i
\(225\) 27.9002 27.9002i 0.124001 0.124001i
\(226\) −197.974 + 14.3080i −0.875993 + 0.0633096i
\(227\) 76.3084 + 7.51573i 0.336161 + 0.0331089i 0.264689 0.964334i \(-0.414731\pi\)
0.0714712 + 0.997443i \(0.477231\pi\)
\(228\) 120.712 253.276i 0.529440 1.11086i
\(229\) 347.586 185.789i 1.51784 0.811304i 0.518795 0.854899i \(-0.326381\pi\)
0.999049 + 0.0435945i \(0.0138810\pi\)
\(230\) −3.58440 + 137.680i −0.0155843 + 0.598609i
\(231\) 70.5620 105.604i 0.305463 0.457158i
\(232\) 2.15737 + 3.84816i 0.00929902 + 0.0165869i
\(233\) −235.394 352.292i −1.01027 1.51198i −0.851287 0.524700i \(-0.824177\pi\)
−0.158986 0.987281i \(-0.550823\pi\)
\(234\) −3.06620 + 13.5602i −0.0131034 + 0.0579496i
\(235\) 80.2458 97.7797i 0.341471 0.416084i
\(236\) −46.9769 63.7357i −0.199055 0.270066i
\(237\) 206.077 + 110.150i 0.869523 + 0.464770i
\(238\) −20.6005 + 36.2394i −0.0865567 + 0.152266i
\(239\) −165.184 68.4214i −0.691146 0.286282i 0.00933182 0.999956i \(-0.497030\pi\)
−0.700477 + 0.713675i \(0.747030\pi\)
\(240\) 66.9564 + 82.5819i 0.278985 + 0.344091i
\(241\) 79.7412 + 192.512i 0.330876 + 0.798806i 0.998523 + 0.0543279i \(0.0173016\pi\)
−0.667647 + 0.744478i \(0.732698\pi\)
\(242\) 45.9204 367.817i 0.189754 1.51991i
\(243\) 107.243 32.5317i 0.441328 0.133875i
\(244\) 170.688 7.87739i 0.699542 0.0322844i
\(245\) −104.254 + 10.2682i −0.425528 + 0.0419109i
\(246\) 160.018 + 113.053i 0.650480 + 0.459566i
\(247\) −85.8711 17.0808i −0.347656 0.0691531i
\(248\) −324.741 57.8390i −1.30944 0.233222i
\(249\) −1.13224 + 0.225216i −0.00454714 + 0.000904481i
\(250\) −206.174 + 79.1785i −0.824695 + 0.316714i
\(251\) 61.2009 201.752i 0.243828 0.803794i −0.746541 0.665340i \(-0.768287\pi\)
0.990369 0.138454i \(-0.0442133\pi\)
\(252\) −18.8401 14.0596i −0.0747621 0.0557922i
\(253\) 301.750 + 367.683i 1.19269 + 1.45329i
\(254\) 124.195 + 41.2332i 0.488958 + 0.162336i
\(255\) 50.0465i 0.196261i
\(256\) −214.530 + 139.688i −0.838010 + 0.545656i
\(257\) 12.9544 0.0504061 0.0252030 0.999682i \(-0.491977\pi\)
0.0252030 + 0.999682i \(0.491977\pi\)
\(258\) −66.0369 + 198.905i −0.255957 + 0.770948i
\(259\) −0.123708 + 0.101524i −0.000477636 + 0.000391986i
\(260\) 19.8420 26.5885i 0.0763155 0.102263i
\(261\) −1.12071 0.339963i −0.00429391 0.00130254i
\(262\) −116.923 304.458i −0.446273 1.16205i
\(263\) 11.9887 + 60.2710i 0.0455842 + 0.229167i 0.996861 0.0791706i \(-0.0252272\pi\)
−0.951277 + 0.308338i \(0.900227\pi\)
\(264\) 361.480 + 64.3826i 1.36924 + 0.243873i
\(265\) 2.35192 11.8239i 0.00887515 0.0446184i
\(266\) 85.4249 120.912i 0.321146 0.454557i
\(267\) −4.87725 49.5195i −0.0182669 0.185466i
\(268\) −8.40907 182.209i −0.0313771 0.679883i
\(269\) 56.1905 + 185.235i 0.208887 + 0.688607i 0.997298 + 0.0734589i \(0.0234038\pi\)
−0.788412 + 0.615148i \(0.789096\pi\)
\(270\) −146.689 18.3135i −0.543292 0.0678277i
\(271\) 354.000 146.631i 1.30627 0.541075i 0.382478 0.923965i \(-0.375071\pi\)
0.923794 + 0.382889i \(0.125071\pi\)
\(272\) −119.856 12.5239i −0.440647 0.0460438i
\(273\) 9.08948 21.9439i 0.0332948 0.0803807i
\(274\) −18.0257 10.2468i −0.0657873 0.0373972i
\(275\) −153.289 + 286.783i −0.557413 + 1.04285i
\(276\) −229.460 + 169.125i −0.831378 + 0.612773i
\(277\) 373.611 + 306.615i 1.34878 + 1.10691i 0.984454 + 0.175641i \(0.0561997\pi\)
0.364323 + 0.931272i \(0.381300\pi\)
\(278\) 56.7561 + 12.8336i 0.204159 + 0.0461639i
\(279\) 72.8068 48.6480i 0.260956 0.174366i
\(280\) 27.4328 + 48.9325i 0.0979741 + 0.174759i
\(281\) 243.548 + 162.734i 0.866720 + 0.579124i 0.907504 0.420044i \(-0.137985\pi\)
−0.0407837 + 0.999168i \(0.512985\pi\)
\(282\) 261.712 + 6.81349i 0.928058 + 0.0241613i
\(283\) −1.05914 1.98150i −0.00374253 0.00700177i 0.880043 0.474894i \(-0.157514\pi\)
−0.883786 + 0.467892i \(0.845014\pi\)
\(284\) −236.605 112.767i −0.833117 0.397066i
\(285\) 17.4214 176.883i 0.0611278 0.620641i
\(286\) −8.25912 114.279i −0.0288780 0.399575i
\(287\) 73.1013 + 73.1013i 0.254708 + 0.254708i
\(288\) 15.3817 66.1955i 0.0534088 0.229845i
\(289\) 164.241 + 164.241i 0.568309 + 0.568309i
\(290\) 2.11348 + 1.82858i 0.00728785 + 0.00630544i
\(291\) −41.3095 + 419.423i −0.141957 + 1.44131i
\(292\) −209.903 232.979i −0.718846 0.797873i
\(293\) 115.636 + 216.339i 0.394660 + 0.738358i 0.998262 0.0589281i \(-0.0187683\pi\)
−0.603602 + 0.797286i \(0.706268\pi\)
\(294\) −149.273 157.253i −0.507730 0.534874i
\(295\) −41.7049 27.8663i −0.141372 0.0944620i
\(296\) −0.412313 0.209848i −0.00139295 0.000708945i
\(297\) −424.495 + 283.638i −1.42928 + 0.955012i
\(298\) 330.270 208.455i 1.10829 0.699512i
\(299\) 68.7609 + 56.4306i 0.229970 + 0.188731i
\(300\) −166.853 100.683i −0.556178 0.335609i
\(301\) −52.1299 + 97.5281i −0.173189 + 0.324014i
\(302\) −89.9596 326.960i −0.297879 1.08265i
\(303\) 141.877 342.522i 0.468242 1.13044i
\(304\) 419.256 + 85.9867i 1.37913 + 0.282851i
\(305\) 100.004 41.4232i 0.327884 0.135814i
\(306\) 25.2491 19.6443i 0.0825133 0.0641971i
\(307\) −34.7147 114.439i −0.113077 0.372765i 0.882075 0.471108i \(-0.156146\pi\)
−0.995153 + 0.0983428i \(0.968646\pi\)
\(308\) 182.218 + 65.8098i 0.591618 + 0.213668i
\(309\) −27.1723 275.885i −0.0879361 0.892830i
\(310\) −205.933 + 35.4180i −0.664301 + 0.114252i
\(311\) 46.6640 234.596i 0.150045 0.754328i −0.830343 0.557252i \(-0.811856\pi\)
0.980388 0.197076i \(-0.0631444\pi\)
\(312\) 68.6508 1.37936i 0.220035 0.00442101i
\(313\) 5.22010 + 26.2432i 0.0166776 + 0.0838442i 0.988228 0.152990i \(-0.0488902\pi\)
−0.971550 + 0.236834i \(0.923890\pi\)
\(314\) −146.295 65.1082i −0.465908 0.207351i
\(315\) −14.2507 4.32291i −0.0452404 0.0137235i
\(316\) −87.6335 + 345.497i −0.277321 + 1.09334i
\(317\) −344.710 + 282.896i −1.08741 + 0.892418i −0.994653 0.103271i \(-0.967069\pi\)
−0.0927610 + 0.995688i \(0.529569\pi\)
\(318\) 22.3038 11.1853i 0.0701377 0.0351739i
\(319\) 9.65183 0.0302565
\(320\) −97.7629 + 129.393i −0.305509 + 0.404353i
\(321\) 507.341i 1.58050i
\(322\) −134.450 + 67.4263i −0.417546 + 0.209398i
\(323\) 127.809 + 155.736i 0.395695 + 0.482156i
\(324\) −117.404 197.203i −0.362359 0.608650i
\(325\) −17.6529 + 58.1937i −0.0543165 + 0.179057i
\(326\) −337.139 150.043i −1.03417 0.460254i
\(327\) 407.558 81.0683i 1.24635 0.247915i
\(328\) −108.801 + 278.357i −0.331709 + 0.848648i
\(329\) 135.486 + 26.9499i 0.411812 + 0.0819145i
\(330\) 229.232 39.4250i 0.694642 0.119470i
\(331\) −109.972 + 10.8313i −0.332242 + 0.0327230i −0.262763 0.964860i \(-0.584634\pi\)
−0.0694791 + 0.997583i \(0.522134\pi\)
\(332\) −0.748172 1.59411i −0.00225353 0.00480153i
\(333\) 0.117527 0.0356515i 0.000352934 0.000107061i
\(334\) −343.259 + 267.063i −1.02772 + 0.799588i
\(335\) −44.2191 106.754i −0.131997 0.318669i
\(336\) −45.0679 + 107.002i −0.134131 + 0.318457i
\(337\) −189.990 78.6964i −0.563768 0.233520i 0.0825521 0.996587i \(-0.473693\pi\)
−0.646320 + 0.763066i \(0.723693\pi\)
\(338\) 83.9810 + 305.230i 0.248464 + 0.903049i
\(339\) −229.518 122.680i −0.677044 0.361888i
\(340\) −74.1077 + 18.3293i −0.217964 + 0.0539098i
\(341\) −457.811 + 557.844i −1.34255 + 1.63591i
\(342\) −96.0778 + 60.6410i −0.280929 + 0.177313i
\(343\) −138.894 207.870i −0.404940 0.606036i
\(344\) −318.719 24.9380i −0.926510 0.0724940i
\(345\) −100.324 + 150.145i −0.290794 + 0.435203i
\(346\) −194.080 204.455i −0.560924 0.590912i
\(347\) −451.550 + 241.359i −1.30130 + 0.695558i −0.968870 0.247571i \(-0.920368\pi\)
−0.332427 + 0.943129i \(0.607868\pi\)
\(348\) −0.300973 + 5.77641i −0.000864866 + 0.0165989i
\(349\) 547.319 + 53.9062i 1.56825 + 0.154459i 0.844482 0.535584i \(-0.179909\pi\)
0.723768 + 0.690043i \(0.242409\pi\)
\(350\) −77.7622 67.2798i −0.222178 0.192228i
\(351\) −67.5116 + 67.5116i −0.192341 + 0.192341i
\(352\) 37.0544 + 558.852i 0.105268 + 1.58765i
\(353\) 266.488 266.488i 0.754924 0.754924i −0.220470 0.975394i \(-0.570759\pi\)
0.975394 + 0.220470i \(0.0707590\pi\)
\(354\) −7.48318 103.542i −0.0211389 0.292492i
\(355\) −165.240 16.2747i −0.465465 0.0458443i
\(356\) 71.5412 25.3585i 0.200958 0.0712317i
\(357\) −48.2015 + 25.7642i −0.135018 + 0.0721687i
\(358\) 269.670 + 7.02066i 0.753268 + 0.0196108i
\(359\) −87.8884 + 131.534i −0.244814 + 0.366391i −0.933444 0.358722i \(-0.883213\pi\)
0.688630 + 0.725113i \(0.258213\pi\)
\(360\) −5.07958 42.7506i −0.0141099 0.118752i
\(361\) −196.953 294.760i −0.545575 0.816511i
\(362\) 427.506 + 96.6667i 1.18096 + 0.267035i
\(363\) 308.316 375.684i 0.849355 1.03494i
\(364\) 35.8231 + 5.42262i 0.0984151 + 0.0148973i
\(365\) −175.198 93.6455i −0.479996 0.256563i
\(366\) 194.764 + 110.715i 0.532142 + 0.302499i
\(367\) −244.363 101.219i −0.665840 0.275800i 0.0240536 0.999711i \(-0.492343\pi\)
−0.689894 + 0.723911i \(0.742343\pi\)
\(368\) −334.476 277.838i −0.908903 0.754995i
\(369\) −30.3614 73.2989i −0.0822802 0.198642i
\(370\) −0.290821 0.0363078i −0.000786003 9.81291e-5i
\(371\) 12.5988 3.82179i 0.0339589 0.0103013i
\(372\) −319.582 291.385i −0.859091 0.783294i
\(373\) 222.186 21.8834i 0.595672 0.0586686i 0.204311 0.978906i \(-0.434504\pi\)
0.391361 + 0.920237i \(0.372004\pi\)
\(374\) −152.132 + 215.330i −0.406769 + 0.575750i
\(375\) −284.006 56.4923i −0.757349 0.150646i
\(376\) 85.7619 + 390.033i 0.228090 + 1.03732i
\(377\) 1.77032 0.352138i 0.00469580 0.000934053i
\(378\) −57.8780 150.709i −0.153116 0.398701i
\(379\) −62.3073 + 205.400i −0.164399 + 0.541951i −0.999972 0.00742767i \(-0.997636\pi\)
0.835573 + 0.549379i \(0.185136\pi\)
\(380\) 268.305 38.9854i 0.706065 0.102593i
\(381\) 108.847 + 132.630i 0.285688 + 0.348111i
\(382\) 55.9157 168.419i 0.146376 0.440888i
\(383\) 49.1325i 0.128283i −0.997941 0.0641416i \(-0.979569\pi\)
0.997941 0.0641416i \(-0.0204309\pi\)
\(384\) −335.616 + 4.74960i −0.874001 + 0.0123687i
\(385\) 122.731 0.318782
\(386\) 532.098 + 176.658i 1.37849 + 0.457663i
\(387\) 65.6035 53.8394i 0.169518 0.139120i
\(388\) −636.201 + 92.4417i −1.63969 + 0.238252i
\(389\) 467.630 + 141.854i 1.20213 + 0.364663i 0.826944 0.562284i \(-0.190077\pi\)
0.375190 + 0.926948i \(0.377577\pi\)
\(390\) 40.6068 15.5945i 0.104120 0.0399860i
\(391\) −39.9322 200.753i −0.102128 0.513434i
\(392\) 178.186 278.633i 0.454556 0.710799i
\(393\) 83.4226 419.394i 0.212271 1.06716i
\(394\) 591.891 + 418.172i 1.50226 + 1.06135i
\(395\) 22.1322 + 224.712i 0.0560308 + 0.568890i
\(396\) −109.869 100.175i −0.277446 0.252967i
\(397\) −125.692 414.352i −0.316605 1.04371i −0.960427 0.278532i \(-0.910152\pi\)
0.643822 0.765175i \(-0.277348\pi\)
\(398\) −90.4302 + 724.335i −0.227212 + 1.81994i
\(399\) 179.331 74.2812i 0.449450 0.186168i
\(400\) 87.9794 283.948i 0.219948 0.709869i
\(401\) −0.590213 + 1.42490i −0.00147185 + 0.00355337i −0.924614 0.380906i \(-0.875612\pi\)
0.923142 + 0.384459i \(0.125612\pi\)
\(402\) 118.187 207.910i 0.293999 0.517188i
\(403\) −63.6182 + 119.021i −0.157862 + 0.295338i
\(404\) 559.162 + 84.6415i 1.38406 + 0.209509i
\(405\) −112.387 92.2337i −0.277499 0.227738i
\(406\) −0.673136 + 2.97693i −0.00165797 + 0.00733233i
\(407\) −0.841591 + 0.562333i −0.00206779 + 0.00138165i
\(408\) −124.127 97.7622i −0.304232 0.239613i
\(409\) 55.4088 + 37.0230i 0.135474 + 0.0905208i 0.621461 0.783445i \(-0.286540\pi\)
−0.485987 + 0.873966i \(0.661540\pi\)
\(410\) −4.92732 + 189.263i −0.0120179 + 0.461617i
\(411\) −12.8153 23.9758i −0.0311808 0.0583352i
\(412\) 398.572 141.278i 0.967408 0.342907i
\(413\) 5.36908 54.5131i 0.0130002 0.131993i
\(414\) 115.129 8.32061i 0.278090 0.0200981i
\(415\) −0.788806 0.788806i −0.00190074 0.00190074i
\(416\) 27.1856 + 101.151i 0.0653501 + 0.243153i
\(417\) 53.9476 + 53.9476i 0.129371 + 0.129371i
\(418\) 612.647 708.100i 1.46566 1.69402i
\(419\) 60.7136 616.436i 0.144901 1.47121i −0.597833 0.801621i \(-0.703971\pi\)
0.742734 0.669586i \(-0.233529\pi\)
\(420\) −3.82712 + 73.4518i −0.00911219 + 0.174885i
\(421\) −121.908 228.074i −0.289568 0.541744i 0.694509 0.719484i \(-0.255622\pi\)
−0.984078 + 0.177739i \(0.943122\pi\)
\(422\) 445.585 422.972i 1.05589 1.00230i
\(423\) −88.1473 58.8981i −0.208386 0.139239i
\(424\) 24.7316 + 28.9304i 0.0583293 + 0.0682320i
\(425\) 116.351 77.7430i 0.273766 0.182925i
\(426\) −183.422 290.609i −0.430569 0.682181i
\(427\) 91.3791 + 74.9929i 0.214002 + 0.175627i
\(428\) −751.260 + 185.812i −1.75528 + 0.434140i
\(429\) 70.8156 132.487i 0.165071 0.308827i
\(430\) −195.266 + 53.7254i −0.454107 + 0.124943i
\(431\) 209.295 505.282i 0.485603 1.17235i −0.471308 0.881969i \(-0.656218\pi\)
0.956911 0.290381i \(-0.0937819\pi\)
\(432\) 331.968 328.048i 0.768444 0.759370i
\(433\) −30.1896 + 12.5049i −0.0697220 + 0.0288798i −0.417272 0.908782i \(-0.637014\pi\)
0.347550 + 0.937661i \(0.387014\pi\)
\(434\) −140.128 180.108i −0.322876 0.414996i
\(435\) 1.06368 + 3.50647i 0.00244524 + 0.00806086i
\(436\) 269.311 + 573.812i 0.617685 + 1.31608i
\(437\) 71.2521 + 723.435i 0.163048 + 1.65546i
\(438\) −69.6908 405.208i −0.159111 0.925133i
\(439\) 5.81257 29.2218i 0.0132405 0.0665644i −0.973600 0.228260i \(-0.926696\pi\)
0.986841 + 0.161696i \(0.0516963\pi\)
\(440\) 142.335 + 325.002i 0.323488 + 0.738641i
\(441\) 17.1287 + 86.1120i 0.0388407 + 0.195265i
\(442\) −20.0475 + 45.0458i −0.0453563 + 0.101914i
\(443\) −665.503 201.878i −1.50226 0.455707i −0.571276 0.820758i \(-0.693551\pi\)
−0.930987 + 0.365052i \(0.881051\pi\)
\(444\) −0.310301 0.521210i −0.000698876 0.00117390i
\(445\) 37.1690 30.5038i 0.0835257 0.0685478i
\(446\) −299.930 598.067i −0.672488 1.34096i
\(447\) 512.066 1.14556
\(448\) −174.952 27.5466i −0.390517 0.0614879i
\(449\) 685.174i 1.52600i −0.646398 0.763000i \(-0.723726\pi\)
0.646398 0.763000i \(-0.276274\pi\)
\(450\) 35.3758 + 70.5401i 0.0786128 + 0.156756i
\(451\) 414.803 + 505.439i 0.919741 + 1.12071i
\(452\) 97.6017 384.796i 0.215933 0.851319i
\(453\) 129.066 425.473i 0.284913 0.939234i
\(454\) −62.3540 + 140.107i −0.137344 + 0.308605i
\(455\) 22.5110 4.47772i 0.0494748 0.00984115i
\(456\) 404.678 + 388.737i 0.887452 + 0.852493i
\(457\) 412.329 + 82.0173i 0.902252 + 0.179469i 0.624354 0.781142i \(-0.285362\pi\)
0.277898 + 0.960611i \(0.410362\pi\)
\(458\) 133.607 + 776.842i 0.291719 + 1.69616i
\(459\) 218.640 21.5341i 0.476339 0.0469153i
\(460\) −259.075 93.5672i −0.563206 0.203407i
\(461\) −417.673 + 126.700i −0.906015 + 0.274837i −0.708706 0.705504i \(-0.750721\pi\)
−0.197310 + 0.980341i \(0.563221\pi\)
\(462\) 155.981 + 200.485i 0.337622 + 0.433950i
\(463\) −192.797 465.453i −0.416408 1.00530i −0.983380 0.181560i \(-0.941885\pi\)
0.566972 0.823737i \(-0.308115\pi\)
\(464\) −8.66382 + 1.66992i −0.0186720 + 0.00359896i
\(465\) −253.116 104.844i −0.544335 0.225471i
\(466\) 817.034 224.798i 1.75329 0.482400i
\(467\) 189.198 + 101.128i 0.405134 + 0.216549i 0.661361 0.750068i \(-0.269979\pi\)
−0.256227 + 0.966617i \(0.582479\pi\)
\(468\) −23.8067 14.3654i −0.0508690 0.0306954i
\(469\) 80.0545 97.5467i 0.170692 0.207989i
\(470\) 135.029 + 213.935i 0.287295 + 0.455182i
\(471\) −116.642 174.567i −0.247648 0.370632i
\(472\) 150.582 49.0028i 0.319030 0.103820i
\(473\) −388.582 + 581.553i −0.821526 + 1.22950i
\(474\) −338.945 + 321.745i −0.715074 + 0.678786i
\(475\) −438.289 + 234.270i −0.922713 + 0.493201i
\(476\) −55.8047 61.9397i −0.117237 0.130125i
\(477\) −10.0552 0.990346i −0.0210800 0.00207620i
\(478\) 233.968 270.421i 0.489473 0.565735i
\(479\) −475.879 + 475.879i −0.993484 + 0.993484i −0.999979 0.00649522i \(-0.997932\pi\)
0.00649522 + 0.999979i \(0.497932\pi\)
\(480\) −198.945 + 75.0499i −0.414469 + 0.156354i
\(481\) −0.133847 + 0.133847i −0.000278267 + 0.000278267i
\(482\) −415.663 + 30.0408i −0.862372 + 0.0623252i
\(483\) −196.257 19.3297i −0.406330 0.0400200i
\(484\) 669.224 + 318.955i 1.38269 + 0.658997i
\(485\) −359.170 + 191.980i −0.740556 + 0.395836i
\(486\) −5.83325 + 224.061i −0.0120026 + 0.461030i
\(487\) −523.675 + 783.734i −1.07531 + 1.60931i −0.328198 + 0.944609i \(0.606441\pi\)
−0.747109 + 0.664702i \(0.768559\pi\)
\(488\) −92.6124 + 328.951i −0.189780 + 0.674080i
\(489\) −268.804 402.293i −0.549700 0.822685i
\(490\) 46.2091 204.359i 0.0943042 0.417058i
\(491\) 192.251 234.258i 0.391550 0.477105i −0.539506 0.841982i \(-0.681389\pi\)
0.931056 + 0.364877i \(0.118889\pi\)
\(492\) −315.429 + 232.490i −0.641117 + 0.472540i
\(493\) −3.66301 1.95792i −0.00743004 0.00397144i
\(494\) 86.5359 152.230i 0.175174 0.308158i
\(495\) −87.0184 36.0442i −0.175795 0.0728166i
\(496\) 314.431 579.949i 0.633934 1.16925i
\(497\) −69.3919 167.527i −0.139622 0.337076i
\(498\) 0.286028 2.29105i 0.000574354 0.00460050i
\(499\) −140.822 + 42.7177i −0.282207 + 0.0856067i −0.428215 0.903677i \(-0.640858\pi\)
0.146008 + 0.989283i \(0.453358\pi\)
\(500\) −20.3635 441.240i −0.0407271 0.882480i
\(501\) −567.482 + 55.8921i −1.13270 + 0.111561i
\(502\) 344.383 + 243.307i 0.686022 + 0.484676i
\(503\) 414.693 + 82.4876i 0.824439 + 0.163991i 0.589242 0.807957i \(-0.299426\pi\)
0.235197 + 0.971948i \(0.424426\pi\)
\(504\) 38.5596 26.9006i 0.0765071 0.0533742i
\(505\) 351.374 69.8926i 0.695790 0.138401i
\(506\) −888.066 + 341.051i −1.75507 + 0.674014i
\(507\) −120.488 + 397.196i −0.237649 + 0.783425i
\(508\) −156.531 + 209.754i −0.308133 + 0.412901i
\(509\) −323.135 393.741i −0.634843 0.773558i 0.351867 0.936050i \(-0.385547\pi\)
−0.986710 + 0.162492i \(0.948047\pi\)
\(510\) −94.9944 31.5384i −0.186263 0.0618400i
\(511\) 216.949i 0.424558i
\(512\) −129.951 495.234i −0.253811 0.967254i
\(513\) −780.249 −1.52095
\(514\) −8.16361 + 24.5890i −0.0158825 + 0.0478385i
\(515\) 207.077 169.943i 0.402090 0.329987i
\(516\) −335.930 250.692i −0.651027 0.485838i
\(517\) 836.082 + 253.623i 1.61718 + 0.490566i
\(518\) −0.114747 0.298791i −0.000221520 0.000576817i
\(519\) −72.1076 362.510i −0.138936 0.698477i
\(520\) 37.9641 + 54.4182i 0.0730080 + 0.104650i
\(521\) −18.2252 + 91.6241i −0.0349811 + 0.175862i −0.994326 0.106374i \(-0.966076\pi\)
0.959345 + 0.282236i \(0.0910760\pi\)
\(522\) 1.35154 1.91300i 0.00258916 0.00366476i
\(523\) 81.4263 + 826.735i 0.155691 + 1.58076i 0.682573 + 0.730817i \(0.260861\pi\)
−0.526882 + 0.849938i \(0.676639\pi\)
\(524\) 651.582 30.0710i 1.24348 0.0573874i
\(525\) −39.1364 129.015i −0.0745455 0.245744i
\(526\) −121.957 15.2258i −0.231857 0.0289464i
\(527\) 286.907 118.841i 0.544416 0.225505i
\(528\) −350.004 + 645.561i −0.662887 + 1.22265i
\(529\) 80.1906 193.597i 0.151589 0.365968i
\(530\) 20.9610 + 11.9154i 0.0395491 + 0.0224819i
\(531\) −19.8164 + 37.0740i −0.0373191 + 0.0698191i
\(532\) 175.673 + 238.344i 0.330213 + 0.448014i
\(533\) 94.5227 + 77.5728i 0.177341 + 0.145540i
\(534\) 97.0677 + 21.9487i 0.181775 + 0.0411025i
\(535\) −407.632 + 272.371i −0.761929 + 0.509105i
\(536\) 351.154 + 98.8633i 0.655138 + 0.184446i
\(537\) 294.085 + 196.501i 0.547644 + 0.365924i
\(538\) −387.010 10.0755i −0.719349 0.0187277i
\(539\) −341.097 638.148i −0.632833 1.18395i
\(540\) 127.202 266.893i 0.235559 0.494246i
\(541\) 53.9348 547.610i 0.0996947 1.01222i −0.807034 0.590504i \(-0.798929\pi\)
0.906729 0.421713i \(-0.138571\pi\)
\(542\) 55.2402 + 764.339i 0.101919 + 1.41022i
\(543\) 406.352 + 406.352i 0.748346 + 0.748346i
\(544\) 99.3031 219.609i 0.182542 0.403693i
\(545\) 283.937 + 283.937i 0.520986 + 0.520986i
\(546\) 35.9243 + 31.0816i 0.0657954 + 0.0569261i
\(547\) 54.0206 548.481i 0.0987580 1.00271i −0.810294 0.586024i \(-0.800692\pi\)
0.909052 0.416683i \(-0.136808\pi\)
\(548\) 30.8092 27.7577i 0.0562213 0.0506527i
\(549\) −42.7651 80.0079i −0.0778964 0.145734i
\(550\) −447.749 471.686i −0.814090 0.857611i
\(551\) 12.2649 + 8.19513i 0.0222593 + 0.0148732i
\(552\) −176.419 542.124i −0.319600 0.982108i
\(553\) −205.034 + 136.999i −0.370766 + 0.247738i
\(554\) −817.436 + 515.937i −1.47552 + 0.931294i
\(555\) −0.297041 0.243775i −0.000535209 0.000439235i
\(556\) −60.1264 + 99.6426i −0.108141 + 0.179213i
\(557\) 366.652 685.958i 0.658263 1.23152i −0.302235 0.953234i \(-0.597733\pi\)
0.960497 0.278289i \(-0.0897674\pi\)
\(558\) 46.4583 + 168.853i 0.0832585 + 0.302605i
\(559\) −50.0553 + 120.844i −0.0895444 + 0.216179i
\(560\) −110.168 + 21.2343i −0.196728 + 0.0379185i
\(561\) −319.367 + 132.286i −0.569281 + 0.235804i
\(562\) −462.368 + 359.733i −0.822720 + 0.640094i
\(563\) −218.971 721.852i −0.388937 1.28215i −0.904930 0.425560i \(-0.860077\pi\)
0.515993 0.856593i \(-0.327423\pi\)
\(564\) −177.859 + 492.469i −0.315354 + 0.873171i
\(565\) −24.6497 250.272i −0.0436277 0.442960i
\(566\) 4.42858 0.761661i 0.00782435 0.00134569i
\(567\) 30.9759 155.726i 0.0546313 0.274650i
\(568\) 363.150 378.042i 0.639348 0.665567i
\(569\) −67.9157 341.435i −0.119360 0.600062i −0.993447 0.114293i \(-0.963540\pi\)
0.874087 0.485769i \(-0.161460\pi\)
\(570\) 324.767 + 144.536i 0.569766 + 0.253573i
\(571\) 487.424 + 147.859i 0.853633 + 0.258947i 0.686628 0.727009i \(-0.259090\pi\)
0.167005 + 0.985956i \(0.446590\pi\)
\(572\) 222.119 + 56.3395i 0.388321 + 0.0984956i
\(573\) 179.858 147.606i 0.313888 0.257602i
\(574\) −184.822 + 92.6881i −0.321990 + 0.161478i
\(575\) 504.910 0.878104
\(576\) 115.954 + 70.9117i 0.201309 + 0.123111i
\(577\) 1016.60i 1.76188i 0.473228 + 0.880940i \(0.343089\pi\)
−0.473228 + 0.880940i \(0.656911\pi\)
\(578\) −415.252 + 208.248i −0.718429 + 0.360291i
\(579\) 466.340 + 568.237i 0.805423 + 0.981411i
\(580\) −4.80274 + 2.85930i −0.00828059 + 0.00492983i
\(581\) 0.353644 1.16581i 0.000608682 0.00200656i
\(582\) −770.083 342.723i −1.32317 0.588871i
\(583\) 81.6696 16.2451i 0.140085 0.0278647i
\(584\) 574.500 251.603i 0.983732 0.430826i
\(585\) −17.2758 3.43636i −0.0295312 0.00587412i
\(586\) −483.509 + 83.1575i −0.825101 + 0.141907i
\(587\) 375.288 36.9626i 0.639332 0.0629687i 0.226843 0.973931i \(-0.427160\pi\)
0.412489 + 0.910963i \(0.364660\pi\)
\(588\) 392.554 184.240i 0.667609 0.313333i
\(589\) −1055.41 + 320.154i −1.79186 + 0.543555i
\(590\) 79.1753 61.6001i 0.134195 0.104407i
\(591\) 363.622 + 877.861i 0.615265 + 1.48538i
\(592\) 0.658149 0.650378i 0.00111174 0.00109861i
\(593\) −568.621 235.530i −0.958888 0.397185i −0.152324 0.988331i \(-0.548676\pi\)
−0.806565 + 0.591146i \(0.798676\pi\)
\(594\) −270.871 984.487i −0.456012 1.65739i
\(595\) −46.5782 24.8966i −0.0782827 0.0418430i
\(596\) 187.542 + 758.257i 0.314668 + 1.27224i
\(597\) −607.160 + 739.827i −1.01702 + 1.23924i
\(598\) −150.444 + 94.9550i −0.251579 + 0.158788i
\(599\) 572.935 + 857.457i 0.956485 + 1.43148i 0.901394 + 0.433000i \(0.142545\pi\)
0.0550915 + 0.998481i \(0.482455\pi\)
\(600\) 296.256 253.260i 0.493761 0.422100i
\(601\) 112.001 167.622i 0.186358 0.278905i −0.726513 0.687153i \(-0.758860\pi\)
0.912871 + 0.408248i \(0.133860\pi\)
\(602\) −152.269 160.409i −0.252939 0.266461i
\(603\) −85.4080 + 45.6515i −0.141639 + 0.0757074i
\(604\) 677.301 + 35.2900i 1.12136 + 0.0584271i
\(605\) 467.372 + 46.0322i 0.772516 + 0.0760862i
\(606\) 560.741 + 485.152i 0.925315 + 0.800582i
\(607\) −482.164 + 482.164i −0.794340 + 0.794340i −0.982196 0.187857i \(-0.939846\pi\)
0.187857 + 0.982196i \(0.439846\pi\)
\(608\) −427.421 + 741.612i −0.702995 + 1.21976i
\(609\) −2.82962 + 2.82962i −0.00464634 + 0.00464634i
\(610\) 15.6053 + 215.925i 0.0255824 + 0.353975i
\(611\) 162.605 + 16.0152i 0.266130 + 0.0262115i
\(612\) 21.3758 + 60.3053i 0.0349278 + 0.0985381i
\(613\) −174.685 + 93.3709i −0.284967 + 0.152318i −0.607687 0.794176i \(-0.707903\pi\)
0.322720 + 0.946494i \(0.395403\pi\)
\(614\) 239.096 + 6.22468i 0.389407 + 0.0101379i
\(615\) −137.911 + 206.398i −0.224245 + 0.335607i
\(616\) −239.746 + 304.401i −0.389198 + 0.494157i
\(617\) 7.73494 + 11.5761i 0.0125364 + 0.0187620i 0.837685 0.546154i \(-0.183909\pi\)
−0.825149 + 0.564916i \(0.808909\pi\)
\(618\) 540.786 + 122.281i 0.875059 + 0.197866i
\(619\) −177.591 + 216.395i −0.286899 + 0.349588i −0.896439 0.443168i \(-0.853854\pi\)
0.609539 + 0.792756i \(0.291354\pi\)
\(620\) 62.5479 413.207i 0.100884 0.666462i
\(621\) 699.111 + 373.683i 1.12578 + 0.601743i
\(622\) 415.885 + 236.412i 0.668626 + 0.380084i
\(623\) 48.5141 + 20.0952i 0.0778717 + 0.0322555i
\(624\) −40.6443 + 131.177i −0.0651352 + 0.210219i
\(625\) 70.6660 + 170.603i 0.113066 + 0.272964i
\(626\) −53.1025 6.62962i −0.0848283 0.0105904i
\(627\) 1174.81 356.374i 1.87370 0.568380i
\(628\) 215.776 236.656i 0.343592 0.376841i
\(629\) 0.433468 0.0426929i 0.000689139 6.78742e-5i
\(630\) 17.1860 24.3254i 0.0272793 0.0386118i
\(631\) −1139.11 226.582i −1.80524 0.359085i −0.826300 0.563230i \(-0.809558\pi\)
−0.978941 + 0.204146i \(0.934558\pi\)
\(632\) −600.570 384.065i −0.950269 0.607698i
\(633\) 790.044 157.149i 1.24809 0.248261i
\(634\) −319.742 832.579i −0.504325 1.31322i
\(635\) −48.1287 + 158.659i −0.0757932 + 0.249857i
\(636\) 7.17564 + 49.3841i 0.0112825 + 0.0776480i
\(637\) −85.8455 104.603i −0.134765 0.164212i
\(638\) −6.08241 + 18.3204i −0.00953356 + 0.0287153i
\(639\) 139.159i 0.217776i
\(640\) −183.995 267.107i −0.287492 0.417355i
\(641\) 604.251 0.942669 0.471334 0.881955i \(-0.343772\pi\)
0.471334 + 0.881955i \(0.343772\pi\)
\(642\) −962.996 319.717i −1.49999 0.498002i
\(643\) 282.336 231.707i 0.439091 0.360353i −0.388724 0.921354i \(-0.627084\pi\)
0.827815 + 0.561002i \(0.189584\pi\)
\(644\) −43.2556 297.693i −0.0671670 0.462256i
\(645\) −254.100 77.0803i −0.393953 0.119504i
\(646\) −376.150 + 144.456i −0.582275 + 0.223616i
\(647\) 34.9923 + 175.918i 0.0540839 + 0.271898i 0.998359 0.0572579i \(-0.0182357\pi\)
−0.944275 + 0.329156i \(0.893236\pi\)
\(648\) 448.301 98.5740i 0.691822 0.152120i
\(649\) 67.5891 339.793i 0.104143 0.523564i
\(650\) −99.3342 70.1799i −0.152822 0.107969i
\(651\) −29.3267 297.759i −0.0450487 0.457387i
\(652\) 497.258 545.377i 0.762666 0.836467i
\(653\) −209.919 692.010i −0.321469 1.05974i −0.957586 0.288148i \(-0.906961\pi\)
0.636117 0.771592i \(-0.280539\pi\)
\(654\) −102.958 + 824.683i −0.157428 + 1.26098i
\(655\) 381.755 158.128i 0.582833 0.241417i
\(656\) −459.791 381.932i −0.700900 0.582214i
\(657\) −63.7146 + 153.821i −0.0969781 + 0.234126i
\(658\) −136.535 + 240.186i −0.207500 + 0.365024i
\(659\) 82.1706 153.730i 0.124690 0.233278i −0.811829 0.583895i \(-0.801528\pi\)
0.936519 + 0.350617i \(0.114028\pi\)
\(660\) −69.6243 + 459.955i −0.105491 + 0.696901i
\(661\) 598.406 + 491.099i 0.905304 + 0.742964i 0.966905 0.255137i \(-0.0821206\pi\)
−0.0616009 + 0.998101i \(0.519621\pi\)
\(662\) 48.7433 215.566i 0.0736304 0.325629i
\(663\) −53.7512 + 35.9154i −0.0810726 + 0.0541710i
\(664\) 3.49730 0.415545i 0.00526701 0.000625820i
\(665\) 155.958 + 104.208i 0.234523 + 0.156703i
\(666\) −0.00639265 + 0.245548i −9.59858e−6 + 0.000368690i
\(667\) −7.06458 13.2169i −0.0105916 0.0198154i
\(668\) −290.602 819.845i −0.435033 1.22731i
\(669\) 85.9833 873.003i 0.128525 1.30494i
\(670\) 230.499 16.6586i 0.344028 0.0248635i
\(671\) 528.676 + 528.676i 0.787893 + 0.787893i
\(672\) −174.701 152.975i −0.259972 0.227641i
\(673\) −136.795 136.795i −0.203262 0.203262i 0.598134 0.801396i \(-0.295909\pi\)
−0.801396 + 0.598134i \(0.795909\pi\)
\(674\) 269.104 311.031i 0.399263 0.461470i
\(675\) −53.1194 + 539.330i −0.0786954 + 0.799008i
\(676\) −632.288 32.9446i −0.935337 0.0487347i
\(677\) −279.688 523.259i −0.413128 0.772908i 0.586177 0.810183i \(-0.300632\pi\)
−0.999305 + 0.0372749i \(0.988132\pi\)
\(678\) 377.500 358.343i 0.556784 0.528529i
\(679\) −369.806 247.096i −0.544633 0.363912i
\(680\) 11.9101 152.216i 0.0175148 0.223848i
\(681\) −167.183 + 111.708i −0.245496 + 0.164035i
\(682\) −770.352 1220.52i −1.12955 1.78963i
\(683\) −1011.01 829.717i −1.48025 1.21481i −0.923191 0.384342i \(-0.874428\pi\)
−0.557063 0.830471i \(-0.688072\pi\)
\(684\) −54.5574 220.582i −0.0797623 0.322489i
\(685\) 12.3837 23.1683i 0.0180784 0.0338224i
\(686\) 482.092 132.643i 0.702758 0.193357i
\(687\) −395.502 + 954.827i −0.575695 + 1.38985i
\(688\) 248.187 589.253i 0.360736 0.856473i
\(689\) 14.3870 5.95928i 0.0208809 0.00864917i
\(690\) −221.772 285.046i −0.321408 0.413110i
\(691\) −195.920 645.863i −0.283532 0.934679i −0.976828 0.214026i \(-0.931342\pi\)
0.693296 0.720653i \(-0.256158\pi\)
\(692\) 510.387 239.543i 0.737554 0.346161i
\(693\) −10.0822 102.366i −0.0145486 0.147715i
\(694\) −173.569 1009.20i −0.250100 1.45418i
\(695\) −14.3829 + 72.3075i −0.0206948 + 0.104040i
\(696\) −10.7747 4.21148i −0.0154809 0.00605097i
\(697\) −54.8931 275.966i −0.0787563 0.395935i
\(698\) −447.232 + 1004.91i −0.640733 + 1.43970i
\(699\) 1063.21 + 322.520i 1.52104 + 0.461402i
\(700\) 176.710 105.204i 0.252442 0.150291i
\(701\) −562.956 + 462.006i −0.803076 + 0.659067i −0.943629 0.331006i \(-0.892612\pi\)
0.140553 + 0.990073i \(0.455112\pi\)
\(702\) −85.6007 170.690i −0.121938 0.243148i
\(703\) −1.54690 −0.00220042
\(704\) −1084.12 281.845i −1.53994 0.400348i
\(705\) 331.696i 0.470491i
\(706\) 337.891 + 673.764i 0.478599 + 0.954339i
\(707\) 248.206 + 302.439i 0.351069 + 0.427778i
\(708\) 201.251 + 51.0464i 0.284253 + 0.0720994i
\(709\) 134.346 442.880i 0.189487 0.624654i −0.809793 0.586715i \(-0.800421\pi\)
0.999280 0.0379389i \(-0.0120792\pi\)
\(710\) 135.023 303.390i 0.190173 0.427310i
\(711\) 185.607 36.9196i 0.261051 0.0519262i
\(712\) 3.04951 + 151.774i 0.00428301 + 0.213166i
\(713\) 1098.98 + 218.602i 1.54135 + 0.306594i
\(714\) −18.5280 107.729i −0.0259495 0.150880i
\(715\) 144.467 14.2287i 0.202052 0.0199003i
\(716\) −183.267 + 507.443i −0.255960 + 0.708719i
\(717\) 448.656 136.098i 0.625741 0.189816i
\(718\) −194.282 249.714i −0.270588 0.347790i
\(719\) 515.678 + 1244.96i 0.717216 + 1.73151i 0.681129 + 0.732163i \(0.261489\pi\)
0.0360865 + 0.999349i \(0.488511\pi\)
\(720\) 84.3469 + 17.2990i 0.117149 + 0.0240264i
\(721\) 270.283 + 111.955i 0.374872 + 0.155277i
\(722\) 683.607 188.087i 0.946825 0.260509i
\(723\) −481.892 257.577i −0.666517 0.356261i
\(724\) −452.892 + 750.542i −0.625542 + 1.03666i
\(725\) 6.49970 7.91990i 0.00896510 0.0109240i
\(726\) 518.799 + 821.971i 0.714599 + 1.13219i
\(727\) −12.8063 19.1660i −0.0176153 0.0263632i 0.822557 0.568682i \(-0.192546\pi\)
−0.840173 + 0.542319i \(0.817546\pi\)
\(728\) −32.8679 + 64.5794i −0.0451482 + 0.0887080i
\(729\) −450.156 + 673.706i −0.617498 + 0.924151i
\(730\) 288.158 273.534i 0.394736 0.374705i
\(731\) 265.443 141.882i 0.363124 0.194094i
\(732\) −332.887 + 299.916i −0.454764 + 0.409721i
\(733\) −1104.50 108.783i −1.50681 0.148408i −0.689368 0.724412i \(-0.742111\pi\)
−0.817447 + 0.576003i \(0.804611\pi\)
\(734\) 346.119 400.045i 0.471552 0.545021i
\(735\) 194.246 194.246i 0.264281 0.264281i
\(736\) 738.152 459.788i 1.00292 0.624712i
\(737\) 564.359 564.359i 0.765752 0.765752i
\(738\) 158.263 11.4380i 0.214449 0.0154986i
\(739\) −382.330 37.6562i −0.517361 0.0509556i −0.164032 0.986455i \(-0.552450\pi\)
−0.353328 + 0.935499i \(0.614950\pi\)
\(740\) 0.252187 0.529133i 0.000340793 0.000715045i
\(741\) 202.479 108.227i 0.273251 0.146056i
\(742\) −0.685285 + 26.3224i −0.000923565 + 0.0354750i
\(743\) 586.641 877.970i 0.789557 1.18166i −0.190255 0.981735i \(-0.560932\pi\)
0.979812 0.199920i \(-0.0640684\pi\)
\(744\) 754.480 422.980i 1.01409 0.568521i
\(745\) 274.908 + 411.429i 0.369004 + 0.552253i
\(746\) −98.4802 + 435.526i −0.132011 + 0.583815i
\(747\) −0.593120 + 0.722719i −0.000794003 + 0.000967496i
\(748\) −312.853 424.462i −0.418253 0.567462i
\(749\) −472.182 252.386i −0.630416 0.336964i
\(750\) 286.205 503.478i 0.381606 0.671304i
\(751\) −744.704 308.466i −0.991616 0.410741i −0.172900 0.984939i \(-0.555314\pi\)
−0.818716 + 0.574198i \(0.805314\pi\)
\(752\) −794.377 83.0055i −1.05635 0.110380i
\(753\) 211.568 +