Properties

Label 731.2.n.a.208.20
Level 731
Weight 2
Character 731.208
Analytic conductor 5.837
Analytic rank 0
Dimension 256
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.n (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(256\)
Relative dimension: \(64\) over \(\Q(\zeta_{12})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 208.20
Character \(\chi\) = 731.208
Dual form 731.2.n.a.608.45

$q$-expansion

\(f(q)\) \(=\) \(q-1.24128i q^{2} +(2.55087 + 0.683505i) q^{3} +0.459214 q^{4} +(1.75642 + 0.470632i) q^{5} +(0.848423 - 3.16636i) q^{6} +(-1.74616 + 0.467882i) q^{7} -3.05258i q^{8} +(3.44170 + 1.98707i) q^{9} +O(q^{10})\) \(q-1.24128i q^{2} +(2.55087 + 0.683505i) q^{3} +0.459214 q^{4} +(1.75642 + 0.470632i) q^{5} +(0.848423 - 3.16636i) q^{6} +(-1.74616 + 0.467882i) q^{7} -3.05258i q^{8} +(3.44170 + 1.98707i) q^{9} +(0.584188 - 2.18022i) q^{10} +(1.36614 + 1.36614i) q^{11} +(1.17140 + 0.313875i) q^{12} +(-1.50484 + 2.60646i) q^{13} +(0.580775 + 2.16748i) q^{14} +(4.15874 + 2.40105i) q^{15} -2.87069 q^{16} +(1.26930 - 3.92286i) q^{17} +(2.46651 - 4.27213i) q^{18} +(0.780862 - 0.450831i) q^{19} +(0.806575 + 0.216121i) q^{20} -4.77403 q^{21} +(1.69577 - 1.69577i) q^{22} +(-0.978224 + 3.65078i) q^{23} +(2.08645 - 7.78675i) q^{24} +(-1.46660 - 0.846740i) q^{25} +(3.23535 + 1.86793i) q^{26} +(1.81907 + 1.81907i) q^{27} +(-0.801862 + 0.214858i) q^{28} +(0.0319814 + 0.119356i) q^{29} +(2.98038 - 5.16217i) q^{30} +(-9.88434 - 2.64850i) q^{31} -2.54182i q^{32} +(2.55110 + 4.41863i) q^{33} +(-4.86939 - 1.57557i) q^{34} -3.28720 q^{35} +(1.58048 + 0.912489i) q^{36} +(3.88326 + 1.04052i) q^{37} +(-0.559609 - 0.969272i) q^{38} +(-5.62018 + 5.62018i) q^{39} +(1.43664 - 5.36163i) q^{40} +(2.90950 + 2.90950i) q^{41} +5.92593i q^{42} +(6.20731 - 2.11406i) q^{43} +(0.627353 + 0.627353i) q^{44} +(5.10991 + 5.10991i) q^{45} +(4.53165 + 1.21425i) q^{46} +0.665590 q^{47} +(-7.32278 - 1.96213i) q^{48} +(-3.23202 + 1.86601i) q^{49} +(-1.05105 + 1.82046i) q^{50} +(5.91913 - 9.13916i) q^{51} +(-0.691043 + 1.19692i) q^{52} +(-9.31899 + 5.38032i) q^{53} +(2.25798 - 2.25798i) q^{54} +(1.75658 + 3.04248i) q^{55} +(1.42825 + 5.33030i) q^{56} +(2.30003 - 0.616290i) q^{57} +(0.148155 - 0.0396980i) q^{58} +1.34567i q^{59} +(1.90975 + 1.10259i) q^{60} +(9.86029 - 2.64206i) q^{61} +(-3.28754 + 12.2693i) q^{62} +(-6.93948 - 1.85943i) q^{63} -8.89651 q^{64} +(-3.86982 + 3.86982i) q^{65} +(5.48477 - 3.16663i) q^{66} +(0.292776 + 0.507103i) q^{67} +(0.582883 - 1.80143i) q^{68} +(-4.99065 + 8.64406i) q^{69} +4.08035i q^{70} +(-2.34176 - 8.73958i) q^{71} +(6.06569 - 10.5061i) q^{72} +(0.204708 + 0.763979i) q^{73} +(1.29158 - 4.82023i) q^{74} +(-3.16235 - 3.16235i) q^{75} +(0.358583 - 0.207028i) q^{76} +(-3.02470 - 1.74631i) q^{77} +(6.97623 + 6.97623i) q^{78} +(-10.3200 + 2.76525i) q^{79} +(-5.04216 - 1.35104i) q^{80} +(-2.56433 - 4.44155i) q^{81} +(3.61152 - 3.61152i) q^{82} +(2.42626 - 1.40080i) q^{83} -2.19230 q^{84} +(4.07566 - 6.29284i) q^{85} +(-2.62415 - 7.70504i) q^{86} +0.326322i q^{87} +(4.17027 - 4.17027i) q^{88} +(-1.76806 - 3.06237i) q^{89} +(6.34285 - 6.34285i) q^{90} +(1.40817 - 5.25538i) q^{91} +(-0.449214 + 1.67649i) q^{92} +(-23.4034 - 13.5120i) q^{93} -0.826186i q^{94} +(1.58370 - 0.424351i) q^{95} +(1.73735 - 6.48386i) q^{96} +(2.19312 - 2.19312i) q^{97} +(2.31624 + 4.01185i) q^{98} +(1.98724 + 7.41648i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 256q - 6q^{3} - 264q^{4} + 2q^{5} - 2q^{6} + O(q^{10}) \) \( 256q - 6q^{3} - 264q^{4} + 2q^{5} - 2q^{6} + 2q^{10} + 4q^{11} + 8q^{12} - 8q^{13} - 6q^{14} + 248q^{16} - 2q^{17} + 16q^{18} - 14q^{20} - 16q^{21} - 4q^{22} + 8q^{23} + 12q^{24} - 12q^{27} - 14q^{28} + 2q^{29} + 8q^{30} - 24q^{31} + 20q^{33} + 16q^{34} + 40q^{35} + 18q^{37} + 8q^{38} + 36q^{39} - 10q^{40} + 8q^{41} - 80q^{44} - 4q^{45} + 2q^{46} + 24q^{47} + 24q^{48} + 92q^{50} - 20q^{51} + 4q^{52} - 88q^{54} - 80q^{55} + 60q^{56} - 44q^{57} + 34q^{58} - 8q^{61} + 24q^{62} - 26q^{63} - 200q^{64} - 8q^{65} + 44q^{67} - 58q^{68} + 40q^{69} - 26q^{71} - 48q^{72} + 36q^{73} + 90q^{74} - 156q^{75} - 24q^{78} + 22q^{79} + 30q^{80} + 132q^{81} + 156q^{82} - 160q^{84} - 28q^{85} + 52q^{86} + 28q^{88} - 20q^{89} + 28q^{90} + 34q^{91} - 70q^{92} + 40q^{95} - 16q^{96} - 92q^{98} + 30q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.24128i 0.877720i −0.898555 0.438860i \(-0.855382\pi\)
0.898555 0.438860i \(-0.144618\pi\)
\(3\) 2.55087 + 0.683505i 1.47275 + 0.394622i 0.903872 0.427802i \(-0.140712\pi\)
0.568875 + 0.822424i \(0.307379\pi\)
\(4\) 0.459214 0.229607
\(5\) 1.75642 + 0.470632i 0.785497 + 0.210473i 0.629207 0.777238i \(-0.283380\pi\)
0.156290 + 0.987711i \(0.450047\pi\)
\(6\) 0.848423 3.16636i 0.346367 1.29266i
\(7\) −1.74616 + 0.467882i −0.659987 + 0.176843i −0.573240 0.819388i \(-0.694314\pi\)
−0.0867466 + 0.996230i \(0.527647\pi\)
\(8\) 3.05258i 1.07925i
\(9\) 3.44170 + 1.98707i 1.14723 + 0.662356i
\(10\) 0.584188 2.18022i 0.184737 0.689446i
\(11\) 1.36614 + 1.36614i 0.411908 + 0.411908i 0.882403 0.470495i \(-0.155925\pi\)
−0.470495 + 0.882403i \(0.655925\pi\)
\(12\) 1.17140 + 0.313875i 0.338153 + 0.0906079i
\(13\) −1.50484 + 2.60646i −0.417367 + 0.722901i −0.995674 0.0929187i \(-0.970380\pi\)
0.578307 + 0.815819i \(0.303714\pi\)
\(14\) 0.580775 + 2.16748i 0.155219 + 0.579284i
\(15\) 4.15874 + 2.40105i 1.07378 + 0.619948i
\(16\) −2.87069 −0.717674
\(17\) 1.26930 3.92286i 0.307852 0.951434i
\(18\) 2.46651 4.27213i 0.581363 1.00695i
\(19\) 0.780862 0.450831i 0.179142 0.103428i −0.407747 0.913095i \(-0.633686\pi\)
0.586890 + 0.809667i \(0.300352\pi\)
\(20\) 0.806575 + 0.216121i 0.180356 + 0.0483261i
\(21\) −4.77403 −1.04178
\(22\) 1.69577 1.69577i 0.361540 0.361540i
\(23\) −0.978224 + 3.65078i −0.203974 + 0.761240i 0.785786 + 0.618498i \(0.212259\pi\)
−0.989760 + 0.142742i \(0.954408\pi\)
\(24\) 2.08645 7.78675i 0.425896 1.58946i
\(25\) −1.46660 0.846740i −0.293319 0.169348i
\(26\) 3.23535 + 1.86793i 0.634505 + 0.366331i
\(27\) 1.81907 + 1.81907i 0.350080 + 0.350080i
\(28\) −0.801862 + 0.214858i −0.151538 + 0.0406044i
\(29\) 0.0319814 + 0.119356i 0.00593880 + 0.0221639i 0.968832 0.247720i \(-0.0796813\pi\)
−0.962893 + 0.269884i \(0.913015\pi\)
\(30\) 2.98038 5.16217i 0.544141 0.942479i
\(31\) −9.88434 2.64850i −1.77528 0.475685i −0.785570 0.618773i \(-0.787630\pi\)
−0.989710 + 0.143088i \(0.954297\pi\)
\(32\) 2.54182i 0.449334i
\(33\) 2.55110 + 4.41863i 0.444089 + 0.769184i
\(34\) −4.86939 1.57557i −0.835093 0.270208i
\(35\) −3.28720 −0.555638
\(36\) 1.58048 + 0.912489i 0.263413 + 0.152082i
\(37\) 3.88326 + 1.04052i 0.638404 + 0.171060i 0.563480 0.826130i \(-0.309462\pi\)
0.0749234 + 0.997189i \(0.476129\pi\)
\(38\) −0.559609 0.969272i −0.0907806 0.157237i
\(39\) −5.62018 + 5.62018i −0.899948 + 0.899948i
\(40\) 1.43664 5.36163i 0.227153 0.847748i
\(41\) 2.90950 + 2.90950i 0.454388 + 0.454388i 0.896808 0.442420i \(-0.145880\pi\)
−0.442420 + 0.896808i \(0.645880\pi\)
\(42\) 5.92593i 0.914391i
\(43\) 6.20731 2.11406i 0.946606 0.322392i
\(44\) 0.627353 + 0.627353i 0.0945770 + 0.0945770i
\(45\) 5.10991 + 5.10991i 0.761740 + 0.761740i
\(46\) 4.53165 + 1.21425i 0.668156 + 0.179032i
\(47\) 0.665590 0.0970863 0.0485431 0.998821i \(-0.484542\pi\)
0.0485431 + 0.998821i \(0.484542\pi\)
\(48\) −7.32278 1.96213i −1.05695 0.283209i
\(49\) −3.23202 + 1.86601i −0.461717 + 0.266572i
\(50\) −1.05105 + 1.82046i −0.148640 + 0.257452i
\(51\) 5.91913 9.13916i 0.828844 1.27974i
\(52\) −0.691043 + 1.19692i −0.0958304 + 0.165983i
\(53\) −9.31899 + 5.38032i −1.28006 + 0.739044i −0.976859 0.213883i \(-0.931389\pi\)
−0.303202 + 0.952926i \(0.598056\pi\)
\(54\) 2.25798 2.25798i 0.307272 0.307272i
\(55\) 1.75658 + 3.04248i 0.236857 + 0.410248i
\(56\) 1.42825 + 5.33030i 0.190858 + 0.712291i
\(57\) 2.30003 0.616290i 0.304646 0.0816296i
\(58\) 0.148155 0.0396980i 0.0194537 0.00521261i
\(59\) 1.34567i 0.175192i 0.996156 + 0.0875960i \(0.0279184\pi\)
−0.996156 + 0.0875960i \(0.972082\pi\)
\(60\) 1.90975 + 1.10259i 0.246548 + 0.142344i
\(61\) 9.86029 2.64206i 1.26248 0.338281i 0.435335 0.900268i \(-0.356630\pi\)
0.827146 + 0.561988i \(0.189963\pi\)
\(62\) −3.28754 + 12.2693i −0.417518 + 1.55820i
\(63\) −6.93948 1.85943i −0.874292 0.234266i
\(64\) −8.89651 −1.11206
\(65\) −3.86982 + 3.86982i −0.479991 + 0.479991i
\(66\) 5.48477 3.16663i 0.675129 0.389786i
\(67\) 0.292776 + 0.507103i 0.0357683 + 0.0619525i 0.883355 0.468704i \(-0.155279\pi\)
−0.847587 + 0.530656i \(0.821945\pi\)
\(68\) 0.582883 1.80143i 0.0706849 0.218456i
\(69\) −4.99065 + 8.64406i −0.600804 + 1.04062i
\(70\) 4.08035i 0.487695i
\(71\) −2.34176 8.73958i −0.277916 1.03720i −0.953862 0.300246i \(-0.902931\pi\)
0.675946 0.736951i \(-0.263735\pi\)
\(72\) 6.06569 10.5061i 0.714848 1.23815i
\(73\) 0.204708 + 0.763979i 0.0239592 + 0.0894170i 0.976870 0.213833i \(-0.0685949\pi\)
−0.952911 + 0.303250i \(0.901928\pi\)
\(74\) 1.29158 4.82023i 0.150143 0.560340i
\(75\) −3.16235 3.16235i −0.365157 0.365157i
\(76\) 0.358583 0.207028i 0.0411323 0.0237477i
\(77\) −3.02470 1.74631i −0.344697 0.199011i
\(78\) 6.97623 + 6.97623i 0.789903 + 0.789903i
\(79\) −10.3200 + 2.76525i −1.16110 + 0.311115i −0.787403 0.616438i \(-0.788575\pi\)
−0.373692 + 0.927553i \(0.621908\pi\)
\(80\) −5.04216 1.35104i −0.563730 0.151051i
\(81\) −2.56433 4.44155i −0.284925 0.493505i
\(82\) 3.61152 3.61152i 0.398826 0.398826i
\(83\) 2.42626 1.40080i 0.266317 0.153758i −0.360896 0.932606i \(-0.617529\pi\)
0.627213 + 0.778848i \(0.284196\pi\)
\(84\) −2.19230 −0.239200
\(85\) 4.07566 6.29284i 0.442068 0.682554i
\(86\) −2.62415 7.70504i −0.282970 0.830856i
\(87\) 0.326322i 0.0349854i
\(88\) 4.17027 4.17027i 0.444552 0.444552i
\(89\) −1.76806 3.06237i −0.187414 0.324611i 0.756973 0.653446i \(-0.226677\pi\)
−0.944387 + 0.328835i \(0.893344\pi\)
\(90\) 6.34285 6.34285i 0.668595 0.668595i
\(91\) 1.40817 5.25538i 0.147617 0.550913i
\(92\) −0.449214 + 1.67649i −0.0468338 + 0.174786i
\(93\) −23.4034 13.5120i −2.42682 1.40113i
\(94\) 0.826186i 0.0852146i
\(95\) 1.58370 0.424351i 0.162484 0.0435375i
\(96\) 1.73735 6.48386i 0.177317 0.661756i
\(97\) 2.19312 2.19312i 0.222677 0.222677i −0.586948 0.809625i \(-0.699671\pi\)
0.809625 + 0.586948i \(0.199671\pi\)
\(98\) 2.31624 + 4.01185i 0.233976 + 0.405258i
\(99\) 1.98724 + 7.41648i 0.199725 + 0.745385i
\(100\) −0.673482 0.388835i −0.0673482 0.0388835i
\(101\) 1.42732 2.47218i 0.142023 0.245991i −0.786235 0.617927i \(-0.787973\pi\)
0.928258 + 0.371936i \(0.121306\pi\)
\(102\) −11.3443 7.34732i −1.12325 0.727493i
\(103\) −6.76282 + 11.7136i −0.666361 + 1.15417i 0.312554 + 0.949900i \(0.398816\pi\)
−0.978914 + 0.204271i \(0.934518\pi\)
\(104\) 7.95642 + 4.59364i 0.780191 + 0.450444i
\(105\) −8.38523 2.24681i −0.818314 0.219267i
\(106\) 6.67850 + 11.5675i 0.648674 + 1.12354i
\(107\) −9.66677 + 9.66677i −0.934522 + 0.934522i −0.997984 0.0634626i \(-0.979786\pi\)
0.0634626 + 0.997984i \(0.479786\pi\)
\(108\) 0.835342 + 0.835342i 0.0803809 + 0.0803809i
\(109\) 4.33271 16.1699i 0.414998 1.54880i −0.369840 0.929095i \(-0.620588\pi\)
0.784839 0.619700i \(-0.212746\pi\)
\(110\) 3.77658 2.18041i 0.360083 0.207894i
\(111\) 9.19450 + 5.30845i 0.872704 + 0.503856i
\(112\) 5.01269 1.34315i 0.473655 0.126915i
\(113\) 9.49835 + 9.49835i 0.893530 + 0.893530i 0.994853 0.101324i \(-0.0323079\pi\)
−0.101324 + 0.994853i \(0.532308\pi\)
\(114\) −0.764991 2.85498i −0.0716480 0.267394i
\(115\) −3.43635 + 5.95193i −0.320441 + 0.555021i
\(116\) 0.0146863 + 0.0548101i 0.00136359 + 0.00508899i
\(117\) −10.3584 + 5.98043i −0.957635 + 0.552891i
\(118\) 1.67036 0.153770
\(119\) −0.380970 + 7.44384i −0.0349235 + 0.682375i
\(120\) 7.32940 12.6949i 0.669079 1.15888i
\(121\) 7.26730i 0.660664i
\(122\) −3.27954 12.2394i −0.296916 1.10811i
\(123\) 5.43312 + 9.41043i 0.489888 + 0.848510i
\(124\) −4.53903 1.21623i −0.407617 0.109221i
\(125\) −8.60642 8.60642i −0.769782 0.769782i
\(126\) −2.30808 + 8.61386i −0.205620 + 0.767384i
\(127\) 17.5790i 1.55988i −0.625852 0.779942i \(-0.715248\pi\)
0.625852 0.779942i \(-0.284752\pi\)
\(128\) 5.95945i 0.526746i
\(129\) 17.2790 1.14998i 1.52133 0.101250i
\(130\) 4.80354 + 4.80354i 0.421298 + 0.421298i
\(131\) 0.135929 0.135929i 0.0118761 0.0118761i −0.701144 0.713020i \(-0.747327\pi\)
0.713020 + 0.701144i \(0.247327\pi\)
\(132\) 1.17150 + 2.02910i 0.101966 + 0.176610i
\(133\) −1.15257 + 1.15257i −0.0999409 + 0.0999409i
\(134\) 0.629459 0.363418i 0.0543770 0.0313946i
\(135\) 2.33894 + 4.05117i 0.201304 + 0.348669i
\(136\) −11.9749 3.87466i −1.02684 0.332249i
\(137\) −6.58109 −0.562260 −0.281130 0.959670i \(-0.590709\pi\)
−0.281130 + 0.959670i \(0.590709\pi\)
\(138\) 10.7297 + 6.19481i 0.913375 + 0.527337i
\(139\) 17.0860 + 4.57817i 1.44921 + 0.388315i 0.895749 0.444559i \(-0.146640\pi\)
0.553462 + 0.832874i \(0.313306\pi\)
\(140\) −1.50953 −0.127578
\(141\) 1.69784 + 0.454934i 0.142984 + 0.0383123i
\(142\) −10.8483 + 2.90679i −0.910369 + 0.243933i
\(143\) −5.61662 + 1.50497i −0.469685 + 0.125852i
\(144\) −9.88007 5.70426i −0.823339 0.475355i
\(145\) 0.224692i 0.0186596i
\(146\) 0.948315 0.254100i 0.0784831 0.0210295i
\(147\) −9.51989 + 2.55085i −0.785187 + 0.210390i
\(148\) 1.78325 + 0.477820i 0.146582 + 0.0392765i
\(149\) 9.63796 + 16.6934i 0.789572 + 1.36758i 0.926229 + 0.376961i \(0.123031\pi\)
−0.136657 + 0.990618i \(0.543636\pi\)
\(150\) −3.92538 + 3.92538i −0.320506 + 0.320506i
\(151\) 0.211529i 0.0172140i −0.999963 0.00860699i \(-0.997260\pi\)
0.999963 0.00860699i \(-0.00273972\pi\)
\(152\) −1.37620 2.38365i −0.111624 0.193339i
\(153\) 12.1636 10.9791i 0.983366 0.887611i
\(154\) −2.16767 + 3.75451i −0.174676 + 0.302547i
\(155\) −16.1146 9.30378i −1.29436 0.747298i
\(156\) −2.58086 + 2.58086i −0.206634 + 0.206634i
\(157\) −9.11806 + 15.7929i −0.727700 + 1.26041i 0.230153 + 0.973155i \(0.426077\pi\)
−0.957853 + 0.287259i \(0.907256\pi\)
\(158\) 3.43246 + 12.8101i 0.273072 + 1.01912i
\(159\) −27.4490 + 7.35495i −2.17685 + 0.583285i
\(160\) 1.19626 4.46451i 0.0945729 0.352951i
\(161\) 6.83254i 0.538480i
\(162\) −5.51322 + 3.18306i −0.433160 + 0.250085i
\(163\) 2.13803 0.572884i 0.167464 0.0448717i −0.174113 0.984726i \(-0.555706\pi\)
0.341577 + 0.939854i \(0.389039\pi\)
\(164\) 1.33609 + 1.33609i 0.104331 + 0.104331i
\(165\) 2.40126 + 8.96161i 0.186938 + 0.697660i
\(166\) −1.73880 3.01168i −0.134957 0.233752i
\(167\) −5.11733 1.37118i −0.395991 0.106105i 0.0553281 0.998468i \(-0.482380\pi\)
−0.451319 + 0.892363i \(0.649046\pi\)
\(168\) 14.5731i 1.12434i
\(169\) 1.97093 + 3.41374i 0.151610 + 0.262596i
\(170\) −7.81120 5.05906i −0.599092 0.388012i
\(171\) 3.58333 0.274024
\(172\) 2.85049 0.970808i 0.217348 0.0740234i
\(173\) −9.09700 + 9.09700i −0.691632 + 0.691632i −0.962591 0.270959i \(-0.912659\pi\)
0.270959 + 0.962591i \(0.412659\pi\)
\(174\) 0.405059 0.0307074
\(175\) 2.95709 + 0.792350i 0.223535 + 0.0598960i
\(176\) −3.92178 3.92178i −0.295615 0.295615i
\(177\) −0.919775 + 3.43265i −0.0691345 + 0.258014i
\(178\) −3.80127 + 2.19466i −0.284917 + 0.164497i
\(179\) −9.52452 5.49898i −0.711896 0.411013i 0.0998666 0.995001i \(-0.468158\pi\)
−0.811763 + 0.583987i \(0.801492\pi\)
\(180\) 2.34654 + 2.34654i 0.174901 + 0.174901i
\(181\) 22.7198 6.08775i 1.68875 0.452499i 0.718682 0.695339i \(-0.244746\pi\)
0.970066 + 0.242841i \(0.0780793\pi\)
\(182\) −6.52341 1.74794i −0.483548 0.129566i
\(183\) 26.9582 1.99281
\(184\) 11.1443 + 2.98611i 0.821569 + 0.220139i
\(185\) 6.33095 + 3.65517i 0.465460 + 0.268734i
\(186\) −16.7722 + 29.0503i −1.22980 + 2.13007i
\(187\) 7.09325 3.62515i 0.518710 0.265097i
\(188\) 0.305648 0.0222917
\(189\) −4.02750 2.32528i −0.292957 0.169139i
\(190\) −0.526740 1.96582i −0.0382138 0.142616i
\(191\) 8.38238 + 14.5187i 0.606528 + 1.05054i 0.991808 + 0.127738i \(0.0407715\pi\)
−0.385280 + 0.922800i \(0.625895\pi\)
\(192\) −22.6939 6.08080i −1.63779 0.438844i
\(193\) 7.74865 + 7.74865i 0.557760 + 0.557760i 0.928669 0.370909i \(-0.120954\pi\)
−0.370909 + 0.928669i \(0.620954\pi\)
\(194\) −2.72228 2.72228i −0.195449 0.195449i
\(195\) −12.5164 + 7.22637i −0.896321 + 0.517491i
\(196\) −1.48419 + 0.856896i −0.106013 + 0.0612069i
\(197\) 0.571977 0.153261i 0.0407517 0.0109194i −0.238386 0.971171i \(-0.576618\pi\)
0.279137 + 0.960251i \(0.409952\pi\)
\(198\) 9.20596 2.46673i 0.654239 0.175303i
\(199\) −2.33258 + 2.33258i −0.165353 + 0.165353i −0.784933 0.619581i \(-0.787303\pi\)
0.619581 + 0.784933i \(0.287303\pi\)
\(200\) −2.58475 + 4.47691i −0.182769 + 0.316565i
\(201\) 0.400228 + 1.49367i 0.0282299 + 0.105355i
\(202\) −3.06868 1.77170i −0.215912 0.124657i
\(203\) −0.111689 0.193452i −0.00783906 0.0135777i
\(204\) 2.71815 4.19683i 0.190308 0.293837i
\(205\) 3.74101 + 6.47963i 0.261284 + 0.452557i
\(206\) 14.5398 + 8.39458i 1.01304 + 0.584878i
\(207\) −10.6211 + 10.6211i −0.738217 + 0.738217i
\(208\) 4.31993 7.48234i 0.299533 0.518807i
\(209\) 1.68267 + 0.450870i 0.116393 + 0.0311873i
\(210\) −2.78894 + 10.4084i −0.192455 + 0.718251i
\(211\) −4.78338 4.78338i −0.329302 0.329302i 0.523019 0.852321i \(-0.324806\pi\)
−0.852321 + 0.523019i \(0.824806\pi\)
\(212\) −4.27941 + 2.47072i −0.293911 + 0.169690i
\(213\) 23.8942i 1.63720i
\(214\) 11.9992 + 11.9992i 0.820249 + 0.820249i
\(215\) 11.8976 0.791831i 0.811411 0.0540024i
\(216\) 5.55286 5.55286i 0.377824 0.377824i
\(217\) 18.4988 1.25578
\(218\) −20.0714 5.37813i −1.35941 0.364253i
\(219\) 2.08873i 0.141143i
\(220\) 0.806645 + 1.39715i 0.0543840 + 0.0941958i
\(221\) 8.31467 + 9.21166i 0.559306 + 0.619643i
\(222\) 6.58929 11.4130i 0.442244 0.765990i
\(223\) 18.0375i 1.20788i 0.797028 + 0.603942i \(0.206404\pi\)
−0.797028 + 0.603942i \(0.793596\pi\)
\(224\) 1.18927 + 4.43842i 0.0794616 + 0.296555i
\(225\) −3.36506 5.82846i −0.224337 0.388564i
\(226\) 11.7901 11.7901i 0.784269 0.784269i
\(227\) 0.405895 1.51482i 0.0269402 0.100542i −0.951147 0.308739i \(-0.900093\pi\)
0.978087 + 0.208197i \(0.0667596\pi\)
\(228\) 1.05620 0.283009i 0.0699488 0.0187427i
\(229\) 0.0553946 + 0.0319821i 0.00366058 + 0.00211344i 0.501829 0.864967i \(-0.332661\pi\)
−0.498169 + 0.867080i \(0.665994\pi\)
\(230\) 7.38804 + 4.26549i 0.487153 + 0.281258i
\(231\) −6.52202 6.52202i −0.429117 0.429117i
\(232\) 0.364345 0.0976260i 0.0239204 0.00640946i
\(233\) 0.842595 + 3.14461i 0.0552002 + 0.206010i 0.988018 0.154338i \(-0.0493245\pi\)
−0.932818 + 0.360348i \(0.882658\pi\)
\(234\) 7.42341 + 12.8577i 0.485283 + 0.840536i
\(235\) 1.16906 + 0.313248i 0.0762609 + 0.0204341i
\(236\) 0.617953i 0.0402253i
\(237\) −28.2152 −1.83277
\(238\) 9.23991 + 0.472892i 0.598935 + 0.0306531i
\(239\) 3.63475 + 6.29558i 0.235113 + 0.407227i 0.959305 0.282371i \(-0.0911208\pi\)
−0.724193 + 0.689598i \(0.757787\pi\)
\(240\) −11.9385 6.89267i −0.770624 0.444920i
\(241\) −6.57707 24.5460i −0.423666 1.58114i −0.766818 0.641865i \(-0.778161\pi\)
0.343152 0.939280i \(-0.388506\pi\)
\(242\) −9.02078 −0.579878
\(243\) −5.50294 20.5372i −0.353014 1.31746i
\(244\) 4.52798 1.21327i 0.289875 0.0776716i
\(245\) −6.55499 + 1.75640i −0.418783 + 0.112213i
\(246\) 11.6810 6.74404i 0.744755 0.429984i
\(247\) 2.71371i 0.172669i
\(248\) −8.08477 + 30.1728i −0.513383 + 1.91597i
\(249\) 7.14655 1.91491i 0.452894 0.121353i
\(250\) −10.6830 + 10.6830i −0.675653 + 0.675653i
\(251\) 2.84451 4.92683i 0.179544 0.310979i −0.762181 0.647364i \(-0.775871\pi\)
0.941724 + 0.336386i \(0.109205\pi\)
\(252\) −3.18671 0.853875i −0.200744 0.0537891i
\(253\) −6.32389 + 3.65110i −0.397579 + 0.229543i
\(254\) −21.8205 −1.36914
\(255\) 14.6977 13.2665i 0.920405 0.830780i
\(256\) −10.3956 −0.649728
\(257\) 24.2807i 1.51459i 0.653074 + 0.757294i \(0.273479\pi\)
−0.653074 + 0.757294i \(0.726521\pi\)
\(258\) −1.42746 21.4482i −0.0888696 1.33531i
\(259\) −7.26763 −0.451589
\(260\) −1.77707 + 1.77707i −0.110209 + 0.110209i
\(261\) −0.127099 + 0.474338i −0.00786720 + 0.0293608i
\(262\) −0.168726 0.168726i −0.0104239 0.0104239i
\(263\) −3.83619 + 2.21482i −0.236550 + 0.136572i −0.613590 0.789625i \(-0.710275\pi\)
0.377040 + 0.926197i \(0.376942\pi\)
\(264\) 13.4882 7.78743i 0.830143 0.479283i
\(265\) −18.9002 + 5.06430i −1.16103 + 0.311098i
\(266\) 1.43067 + 1.43067i 0.0877202 + 0.0877202i
\(267\) −2.41695 9.02020i −0.147915 0.552027i
\(268\) 0.134447 + 0.232869i 0.00821266 + 0.0142247i
\(269\) −3.53116 + 3.53116i −0.215299 + 0.215299i −0.806514 0.591215i \(-0.798648\pi\)
0.591215 + 0.806514i \(0.298648\pi\)
\(270\) 5.02865 2.90329i 0.306034 0.176689i
\(271\) −1.59843 + 2.76857i −0.0970978 + 0.168178i −0.910482 0.413548i \(-0.864289\pi\)
0.813384 + 0.581727i \(0.197623\pi\)
\(272\) −3.64378 + 11.2613i −0.220937 + 0.682819i
\(273\) 7.18415 12.4433i 0.434804 0.753103i
\(274\) 8.16900i 0.493507i
\(275\) −0.846814 3.16035i −0.0510648 0.190576i
\(276\) −2.29178 + 3.96947i −0.137949 + 0.238934i
\(277\) 14.3293 + 3.83951i 0.860962 + 0.230694i 0.662176 0.749349i \(-0.269633\pi\)
0.198786 + 0.980043i \(0.436300\pi\)
\(278\) 5.68281 21.2085i 0.340832 1.27200i
\(279\) −28.7562 28.7562i −1.72159 1.72159i
\(280\) 10.0344i 0.599673i
\(281\) −3.47217 + 2.00466i −0.207132 + 0.119588i −0.599978 0.800016i \(-0.704824\pi\)
0.392846 + 0.919604i \(0.371491\pi\)
\(282\) 0.564702 2.10750i 0.0336275 0.125500i
\(283\) 22.8391 6.11972i 1.35764 0.363780i 0.494693 0.869068i \(-0.335280\pi\)
0.862951 + 0.505288i \(0.168614\pi\)
\(284\) −1.07537 4.01334i −0.0638115 0.238148i
\(285\) 4.32987 0.256479
\(286\) 1.86809 + 6.97182i 0.110463 + 0.412252i
\(287\) −6.44176 3.71915i −0.380245 0.219535i
\(288\) 5.05077 8.74819i 0.297619 0.515492i
\(289\) −13.7777 9.95862i −0.810455 0.585801i
\(290\) 0.278906 0.0163779
\(291\) 7.09337 4.09536i 0.415821 0.240074i
\(292\) 0.0940046 + 0.350830i 0.00550120 + 0.0205308i
\(293\) −2.75033 −0.160676 −0.0803381 0.996768i \(-0.525600\pi\)
−0.0803381 + 0.996768i \(0.525600\pi\)
\(294\) 3.16632 + 11.8169i 0.184664 + 0.689175i
\(295\) −0.633318 + 2.36358i −0.0368732 + 0.137613i
\(296\) 3.17626 11.8540i 0.184616 0.688998i
\(297\) 4.97022i 0.288402i
\(298\) 20.7213 11.9634i 1.20035 0.693024i
\(299\) −8.04353 8.04353i −0.465169 0.465169i
\(300\) −1.45220 1.45220i −0.0838427 0.0838427i
\(301\) −9.84983 + 6.59579i −0.567735 + 0.380175i
\(302\) −0.262567 −0.0151091
\(303\) 5.33065 5.33065i 0.306238 0.306238i
\(304\) −2.24162 + 1.29420i −0.128566 + 0.0742273i
\(305\) 18.5623 1.06287
\(306\) −13.6282 15.0984i −0.779074 0.863120i
\(307\) −0.486041 0.841848i −0.0277398 0.0480468i 0.851822 0.523831i \(-0.175498\pi\)
−0.879562 + 0.475784i \(0.842164\pi\)
\(308\) −1.38899 0.801931i −0.0791448 0.0456943i
\(309\) −25.2574 + 25.2574i −1.43684 + 1.43684i
\(310\) −11.5486 + 20.0028i −0.655918 + 1.13608i
\(311\) 10.5154 + 2.81760i 0.596276 + 0.159772i 0.544320 0.838878i \(-0.316788\pi\)
0.0519559 + 0.998649i \(0.483454\pi\)
\(312\) 17.1561 + 17.1561i 0.971270 + 0.971270i
\(313\) 7.60327 28.3758i 0.429762 1.60389i −0.323536 0.946216i \(-0.604872\pi\)
0.753298 0.657679i \(-0.228462\pi\)
\(314\) 19.6035 + 11.3181i 1.10629 + 0.638717i
\(315\) −11.3136 6.53188i −0.637447 0.368030i
\(316\) −4.73911 + 1.26984i −0.266596 + 0.0714341i
\(317\) 20.3102 + 20.3102i 1.14074 + 1.14074i 0.988316 + 0.152422i \(0.0487072\pi\)
0.152422 + 0.988316i \(0.451293\pi\)
\(318\) 9.12958 + 34.0720i 0.511961 + 1.91067i
\(319\) −0.119367 + 0.206749i −0.00668325 + 0.0115757i
\(320\) −15.6260 4.18698i −0.873522 0.234060i
\(321\) −31.2660 + 18.0514i −1.74510 + 1.00753i
\(322\) −8.48112 −0.472635
\(323\) −0.777397 3.63546i −0.0432555 0.202282i
\(324\) −1.17758 2.03962i −0.0654209 0.113312i
\(325\) 4.41398 2.54841i 0.244844 0.141361i
\(326\) −0.711112 2.65390i −0.0393848 0.146986i
\(327\) 22.1044 38.2859i 1.22238 2.11722i
\(328\) 8.88150 8.88150i 0.490399 0.490399i
\(329\) −1.16223 + 0.311418i −0.0640756 + 0.0171690i
\(330\) 11.1239 2.98064i 0.612351 0.164079i
\(331\) 8.54218 + 4.93183i 0.469521 + 0.271078i 0.716039 0.698060i \(-0.245953\pi\)
−0.246518 + 0.969138i \(0.579287\pi\)
\(332\) 1.11417 0.643269i 0.0611483 0.0353040i
\(333\) 11.2974 + 11.2974i 0.619096 + 0.619096i
\(334\) −1.70203 + 6.35205i −0.0931308 + 0.347569i
\(335\) 0.275580 + 1.02848i 0.0150565 + 0.0561918i
\(336\) 13.7048 0.747658
\(337\) −5.98376 22.3317i −0.325956 1.21649i −0.913347 0.407182i \(-0.866511\pi\)
0.587390 0.809304i \(-0.300155\pi\)
\(338\) 4.23743 2.44648i 0.230486 0.133071i
\(339\) 17.7369 + 30.7213i 0.963337 + 1.66855i
\(340\) 1.87160 2.88976i 0.101502 0.156719i
\(341\) −9.88520 17.1217i −0.535314 0.927191i
\(342\) 4.44793i 0.240516i
\(343\) 13.7185 13.7185i 0.740729 0.740729i
\(344\) −6.45336 18.9483i −0.347942 1.02163i
\(345\) −12.8339 + 12.8339i −0.690952 + 0.690952i
\(346\) 11.2920 + 11.2920i 0.607060 + 0.607060i
\(347\) 3.93289 14.6777i 0.211129 0.787943i −0.776365 0.630284i \(-0.782939\pi\)
0.987494 0.157659i \(-0.0503947\pi\)
\(348\) 0.149852i 0.00803290i
\(349\) −0.0915090 + 0.0528327i −0.00489836 + 0.00282807i −0.502447 0.864608i \(-0.667567\pi\)
0.497549 + 0.867436i \(0.334234\pi\)
\(350\) 0.983531 3.67059i 0.0525719 0.196201i
\(351\) −7.47873 + 2.00392i −0.399185 + 0.106961i
\(352\) 3.47249 3.47249i 0.185084 0.185084i
\(353\) 2.52275 4.36952i 0.134272 0.232566i −0.791047 0.611755i \(-0.790464\pi\)
0.925319 + 0.379189i \(0.123797\pi\)
\(354\) 4.26089 + 1.14170i 0.226464 + 0.0606808i
\(355\) 16.4525i 0.873209i
\(356\) −0.811918 1.40628i −0.0430316 0.0745329i
\(357\) −6.05970 + 18.7279i −0.320713 + 0.991185i
\(358\) −6.82580 + 11.8226i −0.360755 + 0.624846i
\(359\) −19.0083 10.9745i −1.00322 0.579210i −0.0940218 0.995570i \(-0.529972\pi\)
−0.909200 + 0.416360i \(0.863306\pi\)
\(360\) 15.5984 15.5984i 0.822109 0.822109i
\(361\) −9.09350 + 15.7504i −0.478605 + 0.828969i
\(362\) −7.55662 28.2017i −0.397167 1.48225i
\(363\) 4.96723 18.5380i 0.260712 0.972991i
\(364\) 0.646653 2.41334i 0.0338938 0.126494i
\(365\) 1.43821i 0.0752795i
\(366\) 33.4628i 1.74913i
\(367\) −5.22214 + 19.4893i −0.272594 + 1.01733i 0.684843 + 0.728690i \(0.259871\pi\)
−0.957437 + 0.288643i \(0.906796\pi\)
\(368\) 2.80818 10.4803i 0.146387 0.546322i
\(369\) 4.23226 + 15.7950i 0.220323 + 0.822256i
\(370\) 4.53711 7.85850i 0.235873 0.408544i
\(371\) 13.7551 13.7551i 0.714129 0.714129i
\(372\) −10.7472 6.20489i −0.557216 0.321709i
\(373\) 12.5496 21.7365i 0.649793 1.12547i −0.333380 0.942793i \(-0.608189\pi\)
0.983172 0.182681i \(-0.0584776\pi\)
\(374\) −4.49984 8.80474i −0.232681 0.455282i
\(375\) −16.0714 27.8364i −0.829922 1.43747i
\(376\) 2.03177i 0.104780i
\(377\) −0.359224 0.0962537i −0.0185010 0.00495732i
\(378\) −2.88633 + 4.99927i −0.148457 + 0.257135i
\(379\) 14.6078 14.6078i 0.750352 0.750352i −0.224192 0.974545i \(-0.571974\pi\)
0.974545 + 0.224192i \(0.0719744\pi\)
\(380\) 0.727258 0.194868i 0.0373075 0.00999652i
\(381\) 12.0153 44.8418i 0.615564 2.29732i
\(382\) 18.0218 10.4049i 0.922078 0.532362i
\(383\) 1.39259i 0.0711578i 0.999367 + 0.0355789i \(0.0113275\pi\)
−0.999367 + 0.0355789i \(0.988672\pi\)
\(384\) −4.07331 + 15.2018i −0.207865 + 0.775764i
\(385\) −4.49079 4.49079i −0.228872 0.228872i
\(386\) 9.61828 9.61828i 0.489558 0.489558i
\(387\) 25.5645 + 5.05837i 1.29952 + 0.257131i
\(388\) 1.00711 1.00711i 0.0511283 0.0511283i
\(389\) 13.2268i 0.670624i 0.942107 + 0.335312i \(0.108842\pi\)
−0.942107 + 0.335312i \(0.891158\pi\)
\(390\) 8.96998 + 15.5365i 0.454213 + 0.786719i
\(391\) 13.0799 + 8.47139i 0.661477 + 0.428417i
\(392\) 5.69614 + 9.86600i 0.287698 + 0.498308i
\(393\) 0.439644 0.253829i 0.0221771 0.0128040i
\(394\) −0.190240 0.709986i −0.00958416 0.0357686i
\(395\) −19.4278 −0.977518
\(396\) 0.912569 + 3.40575i 0.0458583 + 0.171146i
\(397\) 2.95693 11.0354i 0.148404 0.553852i −0.851176 0.524880i \(-0.824110\pi\)
0.999580 0.0289717i \(-0.00922328\pi\)
\(398\) 2.89540 + 2.89540i 0.145133 + 0.145133i
\(399\) −3.72786 + 2.15228i −0.186627 + 0.107749i
\(400\) 4.21015 + 2.43073i 0.210508 + 0.121537i
\(401\) 5.90958 1.58347i 0.295111 0.0790746i −0.108226 0.994126i \(-0.534517\pi\)
0.403337 + 0.915052i \(0.367850\pi\)
\(402\) 1.85407 0.496796i 0.0924726 0.0247779i
\(403\) 21.7775 21.7775i 1.08482 1.08482i
\(404\) 0.655443 1.13526i 0.0326095 0.0564814i
\(405\) −2.41371 9.00809i −0.119938 0.447616i
\(406\) −0.240129 + 0.138638i −0.0119174 + 0.00688050i
\(407\) 3.88360 + 6.72659i 0.192503 + 0.333424i
\(408\) −27.8980 18.0686i −1.38116 0.894531i
\(409\) 9.04464 0.447229 0.223614 0.974678i \(-0.428214\pi\)
0.223614 + 0.974678i \(0.428214\pi\)
\(410\) 8.04306 4.64366i 0.397218 0.229334i
\(411\) −16.7875 4.49821i −0.828068 0.221880i
\(412\) −3.10558 + 5.37903i −0.153001 + 0.265006i
\(413\) −0.629617 2.34976i −0.0309814 0.115624i
\(414\) 13.1838 + 13.1838i 0.647948 + 0.647948i
\(415\) 4.92081 1.31853i 0.241553 0.0647240i
\(416\) 6.62514 + 3.82503i 0.324824 + 0.187537i
\(417\) 40.4549 + 23.3567i 1.98109 + 1.14378i
\(418\) 0.559658 2.08867i 0.0273738 0.102160i
\(419\) −3.69724 3.69724i −0.180622 0.180622i 0.611005 0.791627i \(-0.290766\pi\)
−0.791627 + 0.611005i \(0.790766\pi\)
\(420\) −3.85061 1.03177i −0.187891 0.0503452i
\(421\) 12.9058 22.3535i 0.628990 1.08944i −0.358765 0.933428i \(-0.616802\pi\)
0.987755 0.156014i \(-0.0498645\pi\)
\(422\) −5.93753 + 5.93753i −0.289035 + 0.289035i
\(423\) 2.29076 + 1.32257i 0.111381 + 0.0643057i
\(424\) 16.4239 + 28.4470i 0.797614 + 1.38151i
\(425\) −5.18321 + 4.67849i −0.251422 + 0.226940i
\(426\) −29.6594 −1.43700
\(427\) −15.9815 + 9.22691i −0.773398 + 0.446521i
\(428\) −4.43912 + 4.43912i −0.214573 + 0.214573i
\(429\) −15.3559 −0.741392
\(430\) −0.982887 14.7683i −0.0473990 0.712192i
\(431\) 14.9987 + 14.9987i 0.722464 + 0.722464i 0.969107 0.246642i \(-0.0793273\pi\)
−0.246642 + 0.969107i \(0.579327\pi\)
\(432\) −5.22199 5.22199i −0.251243 0.251243i
\(433\) 12.4709 7.20008i 0.599313 0.346014i −0.169458 0.985537i \(-0.554202\pi\)
0.768771 + 0.639524i \(0.220868\pi\)
\(434\) 22.9623i 1.10223i
\(435\) −0.153578 + 0.573160i −0.00736350 + 0.0274809i
\(436\) 1.98964 7.42545i 0.0952866 0.355614i
\(437\) 0.882027 + 3.29177i 0.0421931 + 0.157467i
\(438\) 2.59271 0.123884
\(439\) −1.26098 4.70606i −0.0601835 0.224608i 0.929283 0.369368i \(-0.120426\pi\)
−0.989467 + 0.144760i \(0.953759\pi\)
\(440\) 9.28742 5.36210i 0.442761 0.255628i
\(441\) −14.8315 −0.706262
\(442\) 11.4343 10.3209i 0.543874 0.490914i
\(443\) −8.35059 + 14.4636i −0.396748 + 0.687188i −0.993323 0.115370i \(-0.963195\pi\)
0.596574 + 0.802558i \(0.296528\pi\)
\(444\) 4.22225 + 2.43771i 0.200379 + 0.115689i
\(445\) −1.66421 6.21093i −0.0788912 0.294426i
\(446\) 22.3897 1.06018
\(447\) 13.1752 + 49.1704i 0.623164 + 2.32568i
\(448\) 15.5347 4.16252i 0.733947 0.196661i
\(449\) 2.57986 9.62817i 0.121751 0.454381i −0.877952 0.478749i \(-0.841090\pi\)
0.999703 + 0.0243674i \(0.00775715\pi\)
\(450\) −7.23477 + 4.17700i −0.341050 + 0.196905i
\(451\) 7.94960i 0.374332i
\(452\) 4.36178 + 4.36178i 0.205161 + 0.205161i
\(453\) 0.144581 0.539584i 0.00679301 0.0253518i
\(454\) −1.88032 0.503831i −0.0882479 0.0236460i
\(455\) 4.94670 8.56794i 0.231905 0.401671i
\(456\) −1.88128 7.02102i −0.0880988 0.328789i
\(457\) 29.1999i 1.36591i 0.730458 + 0.682957i \(0.239307\pi\)
−0.730458 + 0.682957i \(0.760693\pi\)
\(458\) 0.0396988 0.0687604i 0.00185501 0.00321296i
\(459\) 9.44492 4.82701i 0.440851 0.225306i
\(460\) −1.57802 + 2.73321i −0.0735756 + 0.127437i
\(461\) 18.2639 10.5446i 0.850633 0.491113i −0.0102316 0.999948i \(-0.503257\pi\)
0.860864 + 0.508835i \(0.169924\pi\)
\(462\) −8.09568 + 8.09568i −0.376645 + 0.376645i
\(463\) −6.58580 11.4069i −0.306068 0.530125i 0.671431 0.741067i \(-0.265680\pi\)
−0.977499 + 0.210942i \(0.932347\pi\)
\(464\) −0.0918089 0.342636i −0.00426212 0.0159065i
\(465\) −34.7472 34.7472i −1.61136 1.61136i
\(466\) 3.90335 1.04590i 0.180819 0.0484503i
\(467\) 16.4500 9.49741i 0.761215 0.439488i −0.0685169 0.997650i \(-0.521827\pi\)
0.829732 + 0.558162i \(0.188493\pi\)
\(468\) −4.75673 + 2.74630i −0.219880 + 0.126948i
\(469\) −0.748499 0.748499i −0.0345625 0.0345625i
\(470\) 0.388830 1.45113i 0.0179354 0.0669358i
\(471\) −34.0536 + 34.0536i −1.56911 + 1.56911i
\(472\) 4.10778 0.189076
\(473\) 11.3682 + 5.59197i 0.522711 + 0.257119i
\(474\) 35.0231i 1.60866i
\(475\) −1.52695 −0.0700611
\(476\) −0.174947 + 3.41831i −0.00801868 + 0.156678i
\(477\) −42.7642 −1.95804
\(478\) 7.81460 4.51176i 0.357431 0.206363i
\(479\) −12.9278 3.46400i −0.590688 0.158274i −0.0489204 0.998803i \(-0.515578\pi\)
−0.541768 + 0.840528i \(0.682245\pi\)
\(480\) 6.10303 10.5708i 0.278564 0.482487i
\(481\) −8.55573 + 8.55573i −0.390108 + 0.390108i
\(482\) −30.4685 + 8.16401i −1.38780 + 0.371861i
\(483\) 4.67007 17.4289i 0.212496 0.793045i
\(484\) 3.33725i 0.151693i
\(485\) 4.88420 2.81989i 0.221780 0.128045i
\(486\) −25.4925 + 6.83071i −1.15637 + 0.309847i
\(487\) −34.1445 + 9.14899i −1.54724 + 0.414581i −0.928595 0.371094i \(-0.878983\pi\)
−0.618640 + 0.785674i \(0.712316\pi\)
\(488\) −8.06510 30.0994i −0.365090 1.36253i
\(489\) 5.84542 0.264339
\(490\) 2.18020 + 8.13661i 0.0984913 + 0.367574i
\(491\) 2.67050 + 1.54182i 0.120518 + 0.0695811i 0.559047 0.829136i \(-0.311167\pi\)
−0.438529 + 0.898717i \(0.644500\pi\)
\(492\) 2.49496 + 4.32140i 0.112482 + 0.194824i
\(493\) 0.508813 + 0.0260407i 0.0229158 + 0.00117281i
\(494\) 3.36848 0.151555
\(495\) 13.9617i 0.627534i
\(496\) 28.3749 + 7.60304i 1.27407 + 0.341386i
\(497\) 8.17819 + 14.1650i 0.366842 + 0.635389i
\(498\) −2.37695 8.87089i −0.106514 0.397514i
\(499\) 26.0092 6.96914i 1.16433 0.311982i 0.375637 0.926767i \(-0.377424\pi\)
0.788695 + 0.614785i \(0.210757\pi\)
\(500\) −3.95219 3.95219i −0.176747 0.176747i
\(501\) −12.1164 6.99543i −0.541323 0.312533i
\(502\) −6.11560 3.53084i −0.272952 0.157589i
\(503\) −42.2991 + 11.3340i −1.88602 + 0.505358i −0.886970 + 0.461828i \(0.847194\pi\)
−0.999052 + 0.0435301i \(0.986140\pi\)
\(504\) −5.67606 + 21.1833i −0.252832 + 0.943580i
\(505\) 3.67046 3.67046i 0.163333 0.163333i
\(506\) 4.53205 + 7.84974i 0.201474 + 0.348963i
\(507\) 2.69427 + 10.0552i 0.119657 + 0.446566i
\(508\) 8.07253i 0.358160i
\(509\) 20.4769 35.4670i 0.907622 1.57205i 0.0902642 0.995918i \(-0.471229\pi\)
0.817358 0.576130i \(-0.195438\pi\)
\(510\) −16.4675 18.2440i −0.729193 0.807858i
\(511\) −0.714904 1.23825i −0.0316255 0.0547770i
\(512\) 24.8229i 1.09703i
\(513\) 2.24054 + 0.600350i 0.0989220 + 0.0265061i
\(514\) 30.1392 1.32939
\(515\) −17.3912 + 17.3912i −0.766346 + 0.766346i
\(516\) 7.93478 0.528089i 0.349309 0.0232478i
\(517\) 0.909292 + 0.909292i 0.0399906 + 0.0399906i
\(518\) 9.02119i 0.396368i
\(519\) −29.4232 + 16.9875i −1.29153 + 0.745667i
\(520\) 11.8129 + 11.8129i 0.518031 + 0.518031i
\(521\) −2.98907 + 11.1554i −0.130954 + 0.488726i −0.999982 0.00603702i \(-0.998078\pi\)
0.869028 + 0.494763i \(0.164745\pi\)
\(522\) 0.588788 + 0.157765i 0.0257706 + 0.00690520i
\(523\) −7.52346 + 13.0310i −0.328978 + 0.569806i −0.982309 0.187266i \(-0.940037\pi\)
0.653332 + 0.757072i \(0.273371\pi\)
\(524\) 0.0624203 0.0624203i 0.00272684 0.00272684i
\(525\) 7.00159 + 4.04237i 0.305574 + 0.176423i
\(526\) 2.74923 + 4.76180i 0.119872 + 0.207624i
\(527\) −22.9359 + 35.4132i −0.999106 + 1.54262i
\(528\) −7.32342 12.6845i −0.318711 0.552023i
\(529\) 7.54731 + 4.35744i 0.328144 + 0.189454i
\(530\) 6.28624 + 23.4606i 0.273057 + 1.01906i
\(531\) −2.67395 + 4.63141i −0.116039 + 0.200986i
\(532\) −0.529279 + 0.529279i −0.0229471 + 0.0229471i
\(533\) −11.9618 + 3.20516i −0.518124 + 0.138831i
\(534\) −11.1966 + 3.00013i −0.484525 + 0.129828i
\(535\) −21.5284 + 12.4294i −0.930755 + 0.537372i
\(536\) 1.54797 0.893724i 0.0668623 0.0386030i
\(537\) −20.5373 20.5373i −0.886249 0.886249i
\(538\) 4.38318 + 4.38318i 0.188972 + 0.188972i
\(539\) −6.96463 1.86617i −0.299988 0.0803815i
\(540\) 1.07408 + 1.86035i 0.0462209 + 0.0800569i
\(541\) 1.21075 + 4.51857i 0.0520541 + 0.194268i 0.987057 0.160373i \(-0.0512697\pi\)
−0.935002 + 0.354641i \(0.884603\pi\)
\(542\) 3.43658 + 1.98411i 0.147614 + 0.0852247i
\(543\) 62.1163 2.66566
\(544\) −9.97121 3.22634i −0.427512 0.138328i
\(545\) 15.2202 26.3621i 0.651960 1.12923i
\(546\) −15.4457 8.91757i −0.661014 0.381637i
\(547\) −34.4994 9.24409i −1.47509 0.395249i −0.570416 0.821356i \(-0.693218\pi\)
−0.904673 + 0.426107i \(0.859885\pi\)
\(548\) −3.02213 −0.129099
\(549\) 39.1861 + 10.4999i 1.67242 + 0.448124i
\(550\) −3.92290 + 1.05114i −0.167273 + 0.0448206i
\(551\) 0.0787826 + 0.0787826i 0.00335625 + 0.00335625i
\(552\) 26.3867 + 15.2344i 1.12309 + 0.648418i
\(553\) 16.7266 9.65713i 0.711289 0.410663i
\(554\) 4.76593 17.7867i 0.202485 0.755684i
\(555\) 13.6511 + 13.6511i 0.579458 + 0.579458i
\(556\) 7.84611 + 2.10236i 0.332749 + 0.0891599i
\(557\) 12.8069 0.542648 0.271324 0.962488i \(-0.412539\pi\)
0.271324 + 0.962488i \(0.412539\pi\)
\(558\) −35.6946 + 35.6946i −1.51107 + 1.51107i
\(559\) −3.83078 + 19.3604i −0.162025 + 0.818858i
\(560\) 9.43654 0.398767
\(561\) 20.5718 4.39902i 0.868542 0.185727i
\(562\) 2.48835 + 4.30995i 0.104965 + 0.181804i
\(563\) 2.15301i 0.0907387i −0.998970 0.0453694i \(-0.985554\pi\)
0.998970 0.0453694i \(-0.0144465\pi\)
\(564\) 0.779670 + 0.208912i 0.0328300 + 0.00879678i
\(565\) 12.2129 + 21.1534i 0.513800 + 0.889928i
\(566\) −7.59631 28.3498i −0.319297 1.19163i
\(567\) 6.55585 + 6.55585i 0.275320 + 0.275320i
\(568\) −26.6783 + 7.14843i −1.11940 + 0.299941i
\(569\) 14.9229 8.61574i 0.625600 0.361191i −0.153446 0.988157i \(-0.549037\pi\)
0.779046 + 0.626967i \(0.215704\pi\)
\(570\) 5.37459i 0.225117i
\(571\) −1.10769 + 4.13394i −0.0463552 + 0.173000i −0.985223 0.171279i \(-0.945210\pi\)
0.938867 + 0.344279i \(0.111877\pi\)
\(572\) −2.57923 + 0.691103i −0.107843 + 0.0288965i
\(573\) 11.4588 + 42.7648i 0.478698 + 1.78653i
\(574\) −4.61653 + 7.99606i −0.192690 + 0.333749i
\(575\) 4.52592 4.52592i 0.188744 0.188744i
\(576\) −30.6191 17.6780i −1.27580 0.736582i
\(577\) 12.7081 22.0111i 0.529046 0.916335i −0.470380 0.882464i \(-0.655883\pi\)
0.999426 0.0338710i \(-0.0107835\pi\)
\(578\) −12.3615 + 17.1021i −0.514170 + 0.711353i
\(579\) 14.4696 + 25.0621i 0.601336 + 1.04154i
\(580\) 0.103182i 0.00428439i
\(581\) −3.58123 + 3.58123i −0.148575 + 0.148575i
\(582\) −5.08351 8.80489i −0.210718 0.364975i
\(583\) −20.0814 5.38079i −0.831686 0.222849i
\(584\) 2.33211 0.624887i 0.0965034 0.0258580i
\(585\) −21.0083 + 5.62917i −0.868588 + 0.232737i
\(586\) 3.41394i 0.141029i
\(587\) −0.373838 0.215836i −0.0154300 0.00890849i 0.492265 0.870445i \(-0.336169\pi\)
−0.507695 + 0.861537i \(0.669502\pi\)
\(588\) −4.37167 + 1.17138i −0.180284 + 0.0483071i
\(589\) −8.91233 + 2.38805i −0.367226 + 0.0983980i
\(590\) 2.93387 + 0.786128i 0.120785 + 0.0323644i
\(591\) 1.56380 0.0643260
\(592\) −11.1476 2.98700i −0.458165 0.122765i
\(593\) 1.80595 + 1.04267i 0.0741615 + 0.0428171i 0.536622 0.843823i \(-0.319700\pi\)
−0.462461 + 0.886640i \(0.653033\pi\)
\(594\) 6.16946 0.253136
\(595\) −4.17246 + 12.8952i −0.171054 + 0.528653i
\(596\) 4.42589 + 7.66586i 0.181291 + 0.314006i
\(597\) −7.54446 + 4.35580i −0.308774 + 0.178271i
\(598\) −9.98430 + 9.98430i −0.408288 + 0.408288i
\(599\) 12.5405 + 21.7208i 0.512391 + 0.887488i 0.999897 + 0.0143680i \(0.00457363\pi\)
−0.487505 + 0.873120i \(0.662093\pi\)
\(600\) −9.65335 + 9.65335i −0.394096 + 0.394096i
\(601\) −7.06532 7.06532i −0.288201 0.288201i 0.548168 0.836368i \(-0.315326\pi\)
−0.836368 + 0.548168i \(0.815326\pi\)
\(602\) 8.18724 + 12.2264i 0.333687 + 0.498312i
\(603\) 2.32706i 0.0947654i
\(604\) 0.0971371i 0.00395245i
\(605\) 3.42023 12.7645i 0.139052 0.518949i
\(606\) −6.61685 6.61685i −0.268791 0.268791i
\(607\) −29.8425 7.99627i −1.21127 0.324558i −0.404009 0.914755i \(-0.632384\pi\)
−0.807260 + 0.590197i \(0.799050\pi\)
\(608\) −1.14593 1.98481i −0.0464736 0.0804947i
\(609\) −0.152680 0.569811i −0.00618692 0.0230899i
\(610\) 23.0411i 0.932906i
\(611\) −1.00161 + 1.73483i −0.0405206 + 0.0701837i
\(612\) 5.58568 5.04177i 0.225788 0.203802i
\(613\) 29.6381 1.19707 0.598535 0.801096i \(-0.295750\pi\)
0.598535 + 0.801096i \(0.295750\pi\)
\(614\) −1.04497 + 0.603315i −0.0421716 + 0.0243478i
\(615\) 5.11400 + 19.0857i 0.206216 + 0.769610i
\(616\) −5.33076 + 9.23315i −0.214783 + 0.372014i
\(617\) −0.126305 0.471375i −0.00508483 0.0189768i 0.963337 0.268295i \(-0.0864602\pi\)
−0.968422 + 0.249318i \(0.919794\pi\)
\(618\) 31.3516 + 31.3516i 1.26115 + 1.26115i
\(619\) −43.9760 + 11.7833i −1.76755 + 0.473612i −0.988224 0.153012i \(-0.951103\pi\)
−0.779321 + 0.626624i \(0.784436\pi\)
\(620\) −7.40006 4.27243i −0.297194 0.171585i
\(621\) −8.42048 + 4.86157i −0.337902 + 0.195088i
\(622\) 3.49744 13.0526i 0.140235 0.523363i
\(623\) 4.52015 + 4.52015i 0.181096 + 0.181096i
\(624\) 16.1338 16.1338i 0.645869 0.645869i
\(625\) −6.83236 11.8340i −0.273294 0.473360i
\(626\) −35.2224 9.43782i −1.40777 0.377211i
\(627\) 3.98411 + 2.30023i 0.159110 + 0.0918622i
\(628\) −4.18714 + 7.25234i −0.167085 + 0.289400i
\(629\) 9.01084 13.9128i 0.359286 0.554738i
\(630\) −8.10792 + 14.0433i −0.323027 + 0.559500i
\(631\) −12.9767 7.49210i −0.516594 0.298256i 0.218946 0.975737i \(-0.429738\pi\)
−0.735540 + 0.677481i \(0.763072\pi\)
\(632\) 8.44115 + 31.5028i 0.335771 + 1.25311i
\(633\) −8.93234 15.4713i −0.355029 0.614928i
\(634\) 25.2108 25.2108i 1.00125 1.00125i
\(635\) 8.27325 30.8762i 0.328314 1.22528i
\(636\) −12.6050 + 3.37750i −0.499820 + 0.133926i
\(637\) 11.2321i 0.445034i
\(638\) 0.256635 + 0.148168i 0.0101603 + 0.00586603i
\(639\) 9.30648 34.7323i 0.368159 1.37399i
\(640\) −2.80471 + 10.4673i −0.110866 + 0.413757i
\(641\) −9.84020 + 9.84020i −0.388665 + 0.388665i −0.874211 0.485546i \(-0.838621\pi\)
0.485546 + 0.874211i \(0.338621\pi\)
\(642\) 22.4069 + 38.8100i 0.884331 + 1.53171i
\(643\) 15.5568 15.5568i 0.613501 0.613501i −0.330356 0.943856i \(-0.607169\pi\)
0.943856 + 0.330356i \(0.107169\pi\)
\(644\) 3.13760i 0.123639i
\(645\) 30.8905 + 6.11222i 1.21631 + 0.240668i
\(646\) −4.51264 + 0.964970i −0.177547 + 0.0379663i
\(647\) 13.1594 0.517349 0.258675 0.965964i \(-0.416714\pi\)
0.258675 + 0.965964i \(0.416714\pi\)
\(648\) −13.5582 + 7.82783i −0.532616 + 0.307506i
\(649\) −1.83839 + 1.83839i −0.0721630 + 0.0721630i
\(650\) −3.16330 5.47900i −0.124075 0.214904i
\(651\) 47.1882 + 12.6440i 1.84945 + 0.495559i
\(652\) 0.981814 0.263076i 0.0384508 0.0103029i
\(653\) 22.5036 + 22.5036i 0.880632 + 0.880632i 0.993599 0.112967i \(-0.0360353\pi\)
−0.112967 + 0.993599i \(0.536035\pi\)
\(654\) −47.5237 27.4378i −1.85832 1.07290i
\(655\) 0.302720 0.174776i 0.0118283 0.00682905i
\(656\) −8.35229 8.35229i −0.326102 0.326102i
\(657\) −0.813535 + 3.03616i −0.0317390 + 0.118452i
\(658\) 0.386558 + 1.44265i 0.0150696 + 0.0562405i
\(659\) 10.4037 18.0198i 0.405272 0.701951i −0.589081 0.808074i \(-0.700510\pi\)
0.994353 + 0.106122i \(0.0338436\pi\)
\(660\) 1.10269 + 4.11530i 0.0429222 + 0.160188i
\(661\) 15.2805i 0.594343i −0.954824 0.297171i \(-0.903957\pi\)
0.954824 0.297171i \(-0.0960433\pi\)
\(662\) 6.12180 10.6033i 0.237931 0.412108i
\(663\) 14.9135 + 29.1809i 0.579191 + 1.13329i
\(664\) −4.27607 7.40637i −0.165944 0.287423i
\(665\) −2.56685 + 1.48197i −0.0995381 + 0.0574684i
\(666\) 14.0233 14.0233i 0.543393 0.543393i
\(667\) −0.467029 −0.0180834
\(668\) −2.34995 0.629667i −0.0909222 0.0243625i
\(669\) −12.3287 + 46.0115i −0.476657 + 1.77891i
\(670\) 1.27663 0.342073i 0.0493207 0.0132154i
\(671\) 17.0800 + 9.86115i 0.659367 + 0.380685i
\(672\) 12.1347i 0.468108i
\(673\) −34.3036 + 9.19161i −1.32230 + 0.354311i −0.849841 0.527039i \(-0.823302\pi\)
−0.472464 + 0.881350i \(0.656635\pi\)
\(674\) −27.7200 + 7.42755i −1.06773 + 0.286099i
\(675\) −1.12756 4.20812i −0.0433999 0.161971i
\(676\) 0.905077 + 1.56764i 0.0348107 + 0.0602938i
\(677\) 2.22505 2.22505i 0.0855158 0.0855158i −0.663055 0.748571i \(-0.730740\pi\)
0.748571 + 0.663055i \(0.230740\pi\)
\(678\) 38.1338 22.0166i 1.46452 0.845541i
\(679\) −2.80342 + 4.85566i −0.107585 + 0.186343i
\(680\) −19.2094 12.4413i −0.736647 0.477102i
\(681\) 2.07077 3.58669i 0.0793522 0.137442i
\(682\) −21.2529 + 12.2703i −0.813814 + 0.469856i
\(683\) 47.6086 + 12.7567i 1.82169 + 0.488121i 0.996996 0.0774527i \(-0.0246787\pi\)
0.824698 + 0.565574i \(0.191345\pi\)
\(684\) 1.64551 0.0629178
\(685\) −11.5592 3.09727i −0.441654 0.118341i
\(686\) −17.0285 17.0285i −0.650153 0.650153i
\(687\) 0.119445 + 0.119445i 0.00455710 + 0.00455710i
\(688\) −17.8193 + 6.06883i −0.679354 + 0.231372i
\(689\) 32.3860i 1.23381i
\(690\) 15.9305 + 15.9305i 0.606463 + 0.606463i
\(691\) 8.08169 30.1613i 0.307442 1.14739i −0.623381 0.781919i \(-0.714241\pi\)
0.930823 0.365471i \(-0.119092\pi\)
\(692\) −4.17747 + 4.17747i −0.158804 + 0.158804i
\(693\) −6.94008 12.0206i −0.263632 0.456624i
\(694\) −18.2193 4.88183i −0.691593 0.185312i
\(695\) 27.8555 + 16.0824i 1.05662 + 0.610040i
\(696\) 0.996126 0.0377581
\(697\) 15.1066 7.72054i 0.572205 0.292436i
\(698\) 0.0655804 + 0.113589i 0.00248226 + 0.00429939i
\(699\) 8.59741i 0.325184i
\(700\) 1.35794 + 0.363858i 0.0513252 + 0.0137525i
\(701\) 3.99201 6.91436i 0.150776 0.261152i −0.780737 0.624860i \(-0.785156\pi\)
0.931513 + 0.363708i \(0.118489\pi\)
\(702\) 2.48743 + 9.28322i 0.0938821 + 0.350373i
\(703\) 3.50139 0.938193i 0.132057 0.0353846i
\(704\) −12.1539 12.1539i −0.458068 0.458068i
\(705\) 2.76801 + 1.59811i 0.104249 + 0.0601884i
\(706\) −5.42382 3.13144i −0.204128 0.117853i
\(707\) −1.33563 + 4.98464i −0.0502316 + 0.187467i
\(708\) −0.422374 + 1.57632i −0.0158738 + 0.0592417i
\(709\) 15.5967 15.5967i 0.585747 0.585747i −0.350729 0.936477i \(-0.614066\pi\)
0.936477 + 0.350729i \(0.114066\pi\)
\(710\) −20.4222 −0.766433
\(711\) −41.0133 10.9895i −1.53812 0.412137i
\(712\) −9.34814 + 5.39715i −0.350336 + 0.202267i
\(713\) 19.3382 33.4947i 0.724221 1.25439i
\(714\) 23.2466 + 7.52181i 0.869983 + 0.281497i
\(715\) −10.5735 −0.395425
\(716\) −4.37379 2.52521i −0.163456 0.0943716i
\(717\) 4.96874 + 18.5436i 0.185561 + 0.692523i
\(718\) −13.6224 + 23.5947i −0.508385 + 0.880548i
\(719\) −23.8031 6.37801i −0.887704 0.237860i −0.213976 0.976839i \(-0.568641\pi\)
−0.673728 + 0.738979i \(0.735308\pi\)
\(720\) −14.6690 14.6690i −0.546681 0.546681i
\(721\) 6.32841 23.6179i 0.235682 0.879578i
\(722\) 19.5507 + 11.2876i 0.727603 + 0.420082i
\(723\) 67.1091i 2.49581i
\(724\) 10.4332 2.79558i 0.387748 0.103897i
\(725\) 0.0541599 0.202128i 0.00201145 0.00750683i
\(726\) −23.0109 6.16575i −0.854014 0.228832i
\(727\) −38.2448 −1.41842 −0.709211 0.704996i \(-0.750949\pi\)
−0.709211 + 0.704996i \(0.750949\pi\)
\(728\) −16.0425 4.29857i −0.594574 0.159316i
\(729\) 40.7632i 1.50975i
\(730\) 1.78523 0.0660743
\(731\) −0.414218 27.0338i −0.0153204 0.999883i
\(732\) 12.3796 0.457563
\(733\) 24.0861i 0.889642i −0.895620 0.444821i \(-0.853267\pi\)
0.895620 0.444821i \(-0.146733\pi\)
\(734\) 24.1917 + 6.48216i 0.892934 + 0.239261i
\(735\) −17.9215 −0.661043
\(736\) 9.27962 + 2.48647i 0.342051 + 0.0916524i
\(737\) −0.292802 + 1.09275i −0.0107855 + 0.0402520i
\(738\) 19.6061 5.25344i 0.721711 0.193382i
\(739\) 37.2339i 1.36967i 0.728698 + 0.684836i \(0.240126\pi\)
−0.728698 + 0.684836i \(0.759874\pi\)
\(740\) 2.90726 + 1.67851i 0.106873 + 0.0617032i
\(741\) −1.85483 + 6.92233i −0.0681390 + 0.254298i
\(742\) −17.0740 17.0740i −0.626805 0.626805i
\(743\) 34.9770 + 9.37207i 1.28318 + 0.343828i 0.835067 0.550148i \(-0.185429\pi\)
0.448115 + 0.893976i \(0.352095\pi\)
\(744\) −41.2465 + 71.4410i −1.51217 + 2.61915i
\(745\) 9.07187 + 33.8567i 0.332368 + 1.24041i
\(746\) −26.9812 15.5776i −0.987851 0.570336i
\(747\) 11.1340 0.407371
\(748\) 3.25732 1.66472i 0.119099 0.0608681i
\(749\) 12.3568 21.4026i 0.451508 0.782035i
\(750\) −34.5529 + 19.9491i −1.26169 + 0.728439i
\(751\) 8.10708 + 2.17229i 0.295832 + 0.0792679i 0.403682 0.914899i \(-0.367730\pi\)
−0.107851 + 0.994167i \(0.534397\pi\)
\(752\) −1.91071 −0.0696763
\(753\) 10.6235 10.6235i 0.387142 0.387142i
\(754\) −0.119478 + 0.445899i −0.00435114 + 0.0162387i
\(755\) 0.0995524 0.371534i 0.00362308 0.0135215i
\(756\) −1.84948 1.06780i −0.0672651 0.0388355i
\(757\) 37.3420 + 21.5594i 1.35722 + 0.783591i 0.989248