Properties

Label 162.3.h.a.5.14
Level $162$
Weight $3$
Character 162.5
Analytic conductor $4.414$
Analytic rank $0$
Dimension $324$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 162 = 2 \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 162.h (of order \(54\), degree \(18\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.41418028264\)
Analytic rank: \(0\)
Dimension: \(324\)
Relative dimension: \(18\) over \(\Q(\zeta_{54})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{54}]$

Embedding invariants

Embedding label 5.14
Character \(\chi\) \(=\) 162.5
Dual form 162.3.h.a.65.14

$q$-expansion

\(f(q)\) \(=\) \(q+(0.326140 + 1.37609i) q^{2} +(-0.0281193 - 2.99987i) q^{3} +(-1.78727 + 0.897598i) q^{4} +(1.73126 - 1.28887i) q^{5} +(4.11893 - 1.01707i) q^{6} +(3.67681 - 2.41828i) q^{7} +(-1.81808 - 2.16670i) q^{8} +(-8.99842 + 0.168708i) q^{9} +O(q^{10})\) \(q+(0.326140 + 1.37609i) q^{2} +(-0.0281193 - 2.99987i) q^{3} +(-1.78727 + 0.897598i) q^{4} +(1.73126 - 1.28887i) q^{5} +(4.11893 - 1.01707i) q^{6} +(3.67681 - 2.41828i) q^{7} +(-1.81808 - 2.16670i) q^{8} +(-8.99842 + 0.168708i) q^{9} +(2.33824 + 1.96202i) q^{10} +(1.53316 - 13.1170i) q^{11} +(2.74293 + 5.33632i) q^{12} +(-2.24917 - 7.51277i) q^{13} +(4.52693 + 4.27094i) q^{14} +(-3.91513 - 5.15730i) q^{15} +(2.38863 - 3.20849i) q^{16} +(32.0200 + 5.64599i) q^{17} +(-3.16690 - 12.3276i) q^{18} +(-4.44548 - 25.2116i) q^{19} +(-1.93732 + 3.85753i) q^{20} +(-7.35791 - 10.9620i) q^{21} +(18.5503 - 2.16822i) q^{22} +(-2.91523 + 4.43240i) q^{23} +(-6.44869 + 5.51492i) q^{24} +(-5.83403 + 19.4870i) q^{25} +(9.60472 - 5.54529i) q^{26} +(0.759131 + 26.9893i) q^{27} +(-4.40080 + 7.62241i) q^{28} +(7.70155 - 7.26604i) q^{29} +(5.82004 - 7.06958i) q^{30} +(-1.26519 + 21.7226i) q^{31} +(5.19421 + 2.24057i) q^{32} +(-39.3925 - 4.23044i) q^{33} +(2.67360 + 45.9039i) q^{34} +(3.24865 - 8.92560i) q^{35} +(15.9311 - 8.37849i) q^{36} +(-43.5271 + 15.8426i) q^{37} +(33.2436 - 14.3399i) q^{38} +(-22.4741 + 6.95848i) q^{39} +(-5.94016 - 1.40784i) q^{40} +(-3.35858 + 14.1709i) q^{41} +(12.6850 - 13.7003i) q^{42} +(5.82117 + 13.4950i) q^{43} +(9.03366 + 24.8198i) q^{44} +(-15.3611 + 11.8899i) q^{45} +(-7.05016 - 2.56605i) q^{46} +(91.8452 - 5.34938i) q^{47} +(-9.69222 - 7.07537i) q^{48} +(-11.7370 + 27.2095i) q^{49} +(-28.7186 - 1.67267i) q^{50} +(16.0369 - 96.2146i) q^{51} +(10.7633 + 11.4085i) q^{52} +(-29.2207 - 16.8706i) q^{53} +(-36.8922 + 9.84694i) q^{54} +(-14.2519 - 24.6850i) q^{55} +(-11.9244 - 3.56994i) q^{56} +(-75.5064 + 14.0448i) q^{57} +(12.5105 + 8.22830i) q^{58} +(3.98204 + 34.0685i) q^{59} +(11.6266 + 5.70324i) q^{60} +(-25.1469 - 12.6293i) q^{61} +(-30.3049 + 5.34357i) q^{62} +(-32.6775 + 22.3810i) q^{63} +(-1.38919 + 7.87846i) q^{64} +(-13.5769 - 10.1076i) q^{65} +(-7.02598 - 55.5874i) q^{66} +(-62.5083 + 66.2549i) q^{67} +(-62.2961 + 18.6502i) q^{68} +(13.3786 + 8.62068i) q^{69} +(13.3420 + 1.55945i) q^{70} +(21.0685 - 25.1084i) q^{71} +(16.7254 + 19.1902i) q^{72} +(-39.6029 + 33.2308i) q^{73} +(-35.9968 - 54.7305i) q^{74} +(58.6225 + 16.9533i) q^{75} +(30.5751 + 41.0695i) q^{76} +(-26.0835 - 51.9365i) q^{77} +(-16.9052 - 28.6570i) q^{78} +(117.544 - 27.8584i) q^{79} -8.63336i q^{80} +(80.9431 - 3.03621i) q^{81} -20.5959 q^{82} +(2.39002 + 10.0843i) q^{83} +(22.9900 + 12.9875i) q^{84} +(62.7118 - 31.4950i) q^{85} +(-16.6718 + 12.4117i) q^{86} +(-22.0137 - 22.8993i) q^{87} +(-31.2081 + 20.5259i) q^{88} +(85.7617 + 102.207i) q^{89} +(-21.3715 - 17.2606i) q^{90} +(-26.4378 - 22.1839i) q^{91} +(1.23178 - 10.5386i) q^{92} +(65.2004 + 3.18460i) q^{93} +(37.3157 + 124.643i) q^{94} +(-40.1908 - 37.9180i) q^{95} +(6.57534 - 15.6450i) q^{96} +(56.0694 - 75.3143i) q^{97} +(-41.2707 - 7.27714i) q^{98} +(-11.5831 + 118.291i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 324 q+O(q^{10}) \) Copy content Toggle raw display \( 324 q + 72 q^{18} + 108 q^{20} + 270 q^{21} + 162 q^{23} - 54 q^{27} - 162 q^{29} - 216 q^{30} - 378 q^{33} - 486 q^{35} - 180 q^{36} - 108 q^{38} + 216 q^{41} + 432 q^{45} + 324 q^{47} + 126 q^{51} - 216 q^{57} - 378 q^{59} - 540 q^{63} - 1728 q^{65} - 1008 q^{66} + 702 q^{67} - 216 q^{68} - 1872 q^{69} + 540 q^{70} - 1296 q^{71} - 576 q^{72} - 864 q^{74} - 900 q^{75} + 108 q^{76} - 864 q^{77} - 288 q^{78} + 108 q^{79} + 144 q^{81} + 432 q^{83} + 144 q^{84} - 540 q^{85} + 864 q^{86} + 2016 q^{87} - 216 q^{88} + 1782 q^{89} + 1440 q^{90} + 864 q^{92} + 2124 q^{93} - 756 q^{94} + 2808 q^{95} + 288 q^{96} - 918 q^{97} + 1296 q^{98} + 1800 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).

\(n\) \(83\)
\(\chi(n)\) \(e\left(\frac{23}{54}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.326140 + 1.37609i 0.163070 + 0.688047i
\(3\) −0.0281193 2.99987i −0.00937309 0.999956i
\(4\) −1.78727 + 0.897598i −0.446816 + 0.224400i
\(5\) 1.73126 1.28887i 0.346251 0.257774i −0.409958 0.912104i \(-0.634457\pi\)
0.756209 + 0.654330i \(0.227049\pi\)
\(6\) 4.11893 1.01707i 0.686488 0.169512i
\(7\) 3.67681 2.41828i 0.525259 0.345468i −0.259025 0.965871i \(-0.583401\pi\)
0.784284 + 0.620402i \(0.213031\pi\)
\(8\) −1.81808 2.16670i −0.227260 0.270838i
\(9\) −8.99842 + 0.168708i −0.999824 + 0.0187454i
\(10\) 2.33824 + 1.96202i 0.233824 + 0.196202i
\(11\) 1.53316 13.1170i 0.139378 1.19246i −0.724687 0.689078i \(-0.758016\pi\)
0.864066 0.503379i \(-0.167910\pi\)
\(12\) 2.74293 + 5.33632i 0.228578 + 0.444693i
\(13\) −2.24917 7.51277i −0.173013 0.577905i −0.999880 0.0155066i \(-0.995064\pi\)
0.826866 0.562399i \(-0.190121\pi\)
\(14\) 4.52693 + 4.27094i 0.323352 + 0.305067i
\(15\) −3.91513 5.15730i −0.261009 0.343820i
\(16\) 2.38863 3.20849i 0.149290 0.200531i
\(17\) 32.0200 + 5.64599i 1.88353 + 0.332117i 0.992541 0.121908i \(-0.0389013\pi\)
0.890989 + 0.454025i \(0.150012\pi\)
\(18\) −3.16690 12.3276i −0.175939 0.684869i
\(19\) −4.44548 25.2116i −0.233973 1.32693i −0.844766 0.535136i \(-0.820260\pi\)
0.610793 0.791790i \(-0.290851\pi\)
\(20\) −1.93732 + 3.85753i −0.0968662 + 0.192876i
\(21\) −7.35791 10.9620i −0.350376 0.521998i
\(22\) 18.5503 2.16822i 0.843194 0.0985553i
\(23\) −2.91523 + 4.43240i −0.126749 + 0.192713i −0.893287 0.449486i \(-0.851607\pi\)
0.766538 + 0.642199i \(0.221978\pi\)
\(24\) −6.44869 + 5.51492i −0.268696 + 0.229788i
\(25\) −5.83403 + 19.4870i −0.233361 + 0.779480i
\(26\) 9.60472 5.54529i 0.369412 0.213280i
\(27\) 0.759131 + 26.9893i 0.0281160 + 0.999605i
\(28\) −4.40080 + 7.62241i −0.157171 + 0.272229i
\(29\) 7.70155 7.26604i 0.265571 0.250553i −0.541925 0.840427i \(-0.682304\pi\)
0.807495 + 0.589874i \(0.200823\pi\)
\(30\) 5.82004 7.06958i 0.194001 0.235653i
\(31\) −1.26519 + 21.7226i −0.0408127 + 0.700728i 0.914401 + 0.404810i \(0.132662\pi\)
−0.955214 + 0.295917i \(0.904375\pi\)
\(32\) 5.19421 + 2.24057i 0.162319 + 0.0700177i
\(33\) −39.3925 4.23044i −1.19371 0.128195i
\(34\) 2.67360 + 45.9039i 0.0786352 + 1.35012i
\(35\) 3.24865 8.92560i 0.0928186 0.255017i
\(36\) 15.9311 8.37849i 0.442531 0.232736i
\(37\) −43.5271 + 15.8426i −1.17641 + 0.428178i −0.854932 0.518739i \(-0.826402\pi\)
−0.321477 + 0.946917i \(0.604179\pi\)
\(38\) 33.2436 14.3399i 0.874833 0.377366i
\(39\) −22.4741 + 6.95848i −0.576258 + 0.178423i
\(40\) −5.94016 1.40784i −0.148504 0.0351961i
\(41\) −3.35858 + 14.1709i −0.0819165 + 0.345633i −0.998534 0.0541331i \(-0.982760\pi\)
0.916617 + 0.399766i \(0.130909\pi\)
\(42\) 12.6850 13.7003i 0.302023 0.326198i
\(43\) 5.82117 + 13.4950i 0.135376 + 0.313837i 0.972396 0.233335i \(-0.0749638\pi\)
−0.837020 + 0.547172i \(0.815704\pi\)
\(44\) 9.03366 + 24.8198i 0.205310 + 0.564086i
\(45\) −15.3611 + 11.8899i −0.341358 + 0.264220i
\(46\) −7.05016 2.56605i −0.153264 0.0557837i
\(47\) 91.8452 5.34938i 1.95415 0.113817i 0.965149 0.261700i \(-0.0842832\pi\)
0.989005 + 0.147884i \(0.0472462\pi\)
\(48\) −9.69222 7.07537i −0.201921 0.147403i
\(49\) −11.7370 + 27.2095i −0.239531 + 0.555295i
\(50\) −28.7186 1.67267i −0.574373 0.0334534i
\(51\) 16.0369 96.2146i 0.314448 1.88656i
\(52\) 10.7633 + 11.4085i 0.206987 + 0.219393i
\(53\) −29.2207 16.8706i −0.551335 0.318313i 0.198326 0.980136i \(-0.436450\pi\)
−0.749660 + 0.661823i \(0.769783\pi\)
\(54\) −36.8922 + 9.84694i −0.683190 + 0.182351i
\(55\) −14.2519 24.6850i −0.259125 0.448818i
\(56\) −11.9244 3.56994i −0.212936 0.0637489i
\(57\) −75.5064 + 14.0448i −1.32467 + 0.246400i
\(58\) 12.5105 + 8.22830i 0.215699 + 0.141867i
\(59\) 3.98204 + 34.0685i 0.0674922 + 0.577433i 0.984096 + 0.177636i \(0.0568451\pi\)
−0.916604 + 0.399796i \(0.869081\pi\)
\(60\) 11.6266 + 5.70324i 0.193776 + 0.0950541i
\(61\) −25.1469 12.6293i −0.412244 0.207037i 0.230575 0.973055i \(-0.425939\pi\)
−0.642820 + 0.766018i \(0.722236\pi\)
\(62\) −30.3049 + 5.34357i −0.488789 + 0.0861866i
\(63\) −32.6775 + 22.3810i −0.518691 + 0.355254i
\(64\) −1.38919 + 7.87846i −0.0217060 + 0.123101i
\(65\) −13.5769 10.1076i −0.208875 0.155502i
\(66\) −7.02598 55.5874i −0.106454 0.842233i
\(67\) −62.5083 + 66.2549i −0.932959 + 0.988879i −0.999961 0.00887408i \(-0.997175\pi\)
0.0670016 + 0.997753i \(0.478657\pi\)
\(68\) −62.2961 + 18.6502i −0.916119 + 0.274268i
\(69\) 13.3786 + 8.62068i 0.193892 + 0.124937i
\(70\) 13.3420 + 1.55945i 0.190600 + 0.0222779i
\(71\) 21.0685 25.1084i 0.296739 0.353640i −0.596988 0.802250i \(-0.703636\pi\)
0.893728 + 0.448610i \(0.148081\pi\)
\(72\) 16.7254 + 19.1902i 0.232297 + 0.266530i
\(73\) −39.6029 + 33.2308i −0.542506 + 0.455216i −0.872394 0.488804i \(-0.837433\pi\)
0.329888 + 0.944020i \(0.392989\pi\)
\(74\) −35.9968 54.7305i −0.486444 0.739602i
\(75\) 58.6225 + 16.9533i 0.781633 + 0.226045i
\(76\) 30.5751 + 41.0695i 0.402304 + 0.540389i
\(77\) −26.0835 51.9365i −0.338746 0.674499i
\(78\) −16.9052 28.6570i −0.216733 0.367397i
\(79\) 117.544 27.8584i 1.48790 0.352638i 0.595304 0.803501i \(-0.297032\pi\)
0.892593 + 0.450863i \(0.148884\pi\)
\(80\) 8.63336i 0.107917i
\(81\) 80.9431 3.03621i 0.999297 0.0374841i
\(82\) −20.5959 −0.251170
\(83\) 2.39002 + 10.0843i 0.0287954 + 0.121497i 0.985544 0.169417i \(-0.0541886\pi\)
−0.956749 + 0.290915i \(0.906040\pi\)
\(84\) 22.9900 + 12.9875i 0.273690 + 0.154613i
\(85\) 62.7118 31.4950i 0.737786 0.370530i
\(86\) −16.6718 + 12.4117i −0.193859 + 0.144322i
\(87\) −22.0137 22.8993i −0.253031 0.263211i
\(88\) −31.2081 + 20.5259i −0.354637 + 0.233249i
\(89\) 85.7617 + 102.207i 0.963615 + 1.14839i 0.988881 + 0.148710i \(0.0475122\pi\)
−0.0252661 + 0.999681i \(0.508043\pi\)
\(90\) −21.3715 17.2606i −0.237461 0.191784i
\(91\) −26.4378 22.1839i −0.290525 0.243779i
\(92\) 1.23178 10.5386i 0.0133889 0.114550i
\(93\) 65.2004 + 3.18460i 0.701079 + 0.0342430i
\(94\) 37.3157 + 124.643i 0.396975 + 1.32599i
\(95\) −40.1908 37.9180i −0.423061 0.399137i
\(96\) 6.57534 15.6450i 0.0684932 0.162968i
\(97\) 56.0694 75.3143i 0.578035 0.776436i −0.412900 0.910776i \(-0.635484\pi\)
0.990935 + 0.134341i \(0.0428916\pi\)
\(98\) −41.2707 7.27714i −0.421129 0.0742565i
\(99\) −11.5831 + 118.291i −0.117001 + 1.19486i
\(100\) −7.06455 40.0651i −0.0706455 0.400651i
\(101\) −25.2263 + 50.2297i −0.249765 + 0.497324i −0.983222 0.182412i \(-0.941609\pi\)
0.733457 + 0.679736i \(0.237906\pi\)
\(102\) 137.631 9.31123i 1.34932 0.0912865i
\(103\) 80.5923 9.41989i 0.782450 0.0914552i 0.284517 0.958671i \(-0.408167\pi\)
0.497933 + 0.867216i \(0.334093\pi\)
\(104\) −12.1887 + 18.5321i −0.117199 + 0.178193i
\(105\) −26.8670 9.49455i −0.255876 0.0904243i
\(106\) 13.6855 45.7126i 0.129108 0.431251i
\(107\) 134.801 77.8276i 1.25983 0.727361i 0.286785 0.957995i \(-0.407413\pi\)
0.973041 + 0.230634i \(0.0740801\pi\)
\(108\) −25.5823 47.5557i −0.236874 0.440330i
\(109\) 31.3514 54.3022i 0.287628 0.498186i −0.685615 0.727964i \(-0.740467\pi\)
0.973243 + 0.229778i \(0.0738001\pi\)
\(110\) 29.3207 27.6627i 0.266552 0.251479i
\(111\) 48.7496 + 130.130i 0.439186 + 1.17234i
\(112\) 1.02353 17.5734i 0.00913870 0.156905i
\(113\) −71.9031 31.0160i −0.636310 0.274477i 0.0533886 0.998574i \(-0.482998\pi\)
−0.689699 + 0.724096i \(0.742257\pi\)
\(114\) −43.9526 99.3233i −0.385549 0.871257i
\(115\) 0.665778 + 11.4310i 0.00578938 + 0.0993997i
\(116\) −7.24273 + 19.8992i −0.0624373 + 0.171545i
\(117\) 21.5065 + 67.2236i 0.183816 + 0.574560i
\(118\) −45.5828 + 16.5908i −0.386295 + 0.140600i
\(119\) 131.385 56.6740i 1.10408 0.476252i
\(120\) −4.05631 + 17.8593i −0.0338026 + 0.148827i
\(121\) −51.9673 12.3165i −0.429482 0.101789i
\(122\) 9.17761 38.7234i 0.0752263 0.317405i
\(123\) 42.6054 + 9.67681i 0.346386 + 0.0786733i
\(124\) −17.2369 39.9596i −0.139007 0.322255i
\(125\) 33.4710 + 91.9607i 0.267768 + 0.735686i
\(126\) −41.4558 37.6680i −0.329014 0.298952i
\(127\) −82.3880 29.9868i −0.648724 0.236116i −0.00336363 0.999994i \(-0.501071\pi\)
−0.645361 + 0.763878i \(0.723293\pi\)
\(128\) −11.2946 + 0.657834i −0.0882388 + 0.00513933i
\(129\) 40.3195 17.8422i 0.312554 0.138312i
\(130\) 9.48106 21.9796i 0.0729312 0.169074i
\(131\) 29.4585 + 1.71576i 0.224874 + 0.0130974i 0.170212 0.985407i \(-0.445555\pi\)
0.0546623 + 0.998505i \(0.482592\pi\)
\(132\) 74.2020 27.7977i 0.562136 0.210589i
\(133\) −77.3138 81.9479i −0.581307 0.616150i
\(134\) −111.559 64.4088i −0.832532 0.480663i
\(135\) 36.1000 + 45.7470i 0.267408 + 0.338867i
\(136\) −45.9817 79.6426i −0.338101 0.585608i
\(137\) 5.68226 + 1.70116i 0.0414763 + 0.0124172i 0.307474 0.951556i \(-0.400516\pi\)
−0.265998 + 0.963974i \(0.585701\pi\)
\(138\) −7.49957 + 21.2217i −0.0543447 + 0.153781i
\(139\) −143.402 94.3168i −1.03167 0.678538i −0.0835641 0.996502i \(-0.526630\pi\)
−0.948103 + 0.317965i \(0.897001\pi\)
\(140\) 2.20540 + 18.8684i 0.0157529 + 0.134774i
\(141\) −18.6300 275.373i −0.132128 1.95300i
\(142\) 41.4228 + 20.8033i 0.291710 + 0.146502i
\(143\) −101.993 + 17.9842i −0.713241 + 0.125764i
\(144\) −20.9526 + 29.2743i −0.145504 + 0.203294i
\(145\) 3.96836 22.5057i 0.0273680 0.155212i
\(146\) −58.6448 43.6594i −0.401676 0.299037i
\(147\) 81.9549 + 34.4444i 0.557516 + 0.234316i
\(148\) 63.5743 67.3848i 0.429556 0.455303i
\(149\) −271.364 + 81.2410i −1.82123 + 0.545241i −0.999690 0.0249042i \(-0.992072\pi\)
−0.821544 + 0.570146i \(0.806887\pi\)
\(150\) −4.21024 + 86.1992i −0.0280683 + 0.574661i
\(151\) 146.432 + 17.1154i 0.969747 + 0.113347i 0.586193 0.810171i \(-0.300626\pi\)
0.383554 + 0.923519i \(0.374700\pi\)
\(152\) −46.5437 + 55.4687i −0.306209 + 0.364925i
\(153\) −289.082 45.4030i −1.88942 0.296751i
\(154\) 62.9625 52.8318i 0.408848 0.343064i
\(155\) 25.8072 + 39.2380i 0.166498 + 0.253148i
\(156\) 33.9212 32.6093i 0.217444 0.209034i
\(157\) −1.61395 2.16791i −0.0102799 0.0138083i 0.796954 0.604041i \(-0.206444\pi\)
−0.807233 + 0.590232i \(0.799036\pi\)
\(158\) 76.6715 + 152.666i 0.485263 + 0.966238i
\(159\) −49.7879 + 88.1327i −0.313131 + 0.554294i
\(160\) 11.8803 2.81569i 0.0742520 0.0175980i
\(161\) 23.3469i 0.145012i
\(162\) 30.5769 + 110.395i 0.188746 + 0.681451i
\(163\) 93.2650 0.572178 0.286089 0.958203i \(-0.407645\pi\)
0.286089 + 0.958203i \(0.407645\pi\)
\(164\) −6.71715 28.3419i −0.0409582 0.172816i
\(165\) −73.6509 + 43.4479i −0.446369 + 0.263320i
\(166\) −13.0974 + 6.57778i −0.0789002 + 0.0396252i
\(167\) −30.7108 + 22.8634i −0.183897 + 0.136906i −0.685171 0.728382i \(-0.740272\pi\)
0.501274 + 0.865289i \(0.332865\pi\)
\(168\) −10.3740 + 35.8721i −0.0617502 + 0.213524i
\(169\) 89.8146 59.0720i 0.531447 0.349538i
\(170\) 63.7929 + 76.0255i 0.375253 + 0.447209i
\(171\) 44.2557 + 226.114i 0.258805 + 1.32231i
\(172\) −22.5171 18.8941i −0.130913 0.109849i
\(173\) 31.0395 265.560i 0.179419 1.53503i −0.540721 0.841202i \(-0.681849\pi\)
0.720140 0.693828i \(-0.244077\pi\)
\(174\) 24.3320 37.7613i 0.139839 0.217019i
\(175\) 25.6744 + 85.7584i 0.146711 + 0.490048i
\(176\) −38.4237 36.2509i −0.218317 0.205971i
\(177\) 102.089 12.9036i 0.576775 0.0729016i
\(178\) −112.676 + 151.350i −0.633010 + 0.850280i
\(179\) 257.476 + 45.4000i 1.43841 + 0.253631i 0.837830 0.545931i \(-0.183824\pi\)
0.600583 + 0.799562i \(0.294935\pi\)
\(180\) 16.7821 35.0385i 0.0932336 0.194658i
\(181\) −10.2587 58.1801i −0.0566780 0.321437i 0.943266 0.332039i \(-0.107736\pi\)
−0.999944 + 0.0106017i \(0.996625\pi\)
\(182\) 21.9047 43.6159i 0.120356 0.239648i
\(183\) −37.1790 + 75.7925i −0.203164 + 0.414167i
\(184\) 14.9038 1.74200i 0.0809989 0.00946741i
\(185\) −54.9375 + 83.5285i −0.296960 + 0.451505i
\(186\) 16.8822 + 90.7604i 0.0907643 + 0.487959i
\(187\) 123.150 411.351i 0.658558 2.19974i
\(188\) −159.350 + 92.0009i −0.847607 + 0.489366i
\(189\) 68.0589 + 97.3989i 0.360100 + 0.515338i
\(190\) 39.0709 67.6728i 0.205637 0.356173i
\(191\) −275.934 + 260.330i −1.44468 + 1.36299i −0.641748 + 0.766916i \(0.721791\pi\)
−0.802932 + 0.596070i \(0.796728\pi\)
\(192\) 23.6734 + 3.94584i 0.123299 + 0.0205512i
\(193\) −11.8335 + 203.173i −0.0613134 + 1.05271i 0.817618 + 0.575762i \(0.195294\pi\)
−0.878931 + 0.476949i \(0.841743\pi\)
\(194\) 121.926 + 52.5937i 0.628484 + 0.271102i
\(195\) −29.9398 + 41.0131i −0.153537 + 0.210324i
\(196\) −3.44601 59.1657i −0.0175817 0.301866i
\(197\) −33.5986 + 92.3115i −0.170551 + 0.468586i −0.995292 0.0969255i \(-0.969099\pi\)
0.824740 + 0.565512i \(0.191321\pi\)
\(198\) −166.557 + 22.6401i −0.841199 + 0.114344i
\(199\) −356.022 + 129.582i −1.78906 + 0.651164i −0.789770 + 0.613403i \(0.789800\pi\)
−0.999287 + 0.0377611i \(0.987977\pi\)
\(200\) 52.8292 22.7883i 0.264146 0.113942i
\(201\) 200.514 + 185.653i 0.997580 + 0.923649i
\(202\) −77.3481 18.3318i −0.382911 0.0907516i
\(203\) 10.7459 45.3404i 0.0529353 0.223351i
\(204\) 57.6999 + 186.356i 0.282843 + 0.913508i
\(205\) 12.4500 + 28.8623i 0.0607316 + 0.140792i
\(206\) 39.2470 + 107.830i 0.190520 + 0.523448i
\(207\) 25.4847 40.3764i 0.123114 0.195055i
\(208\) −29.4771 10.7288i −0.141717 0.0515807i
\(209\) −337.517 + 19.6581i −1.61491 + 0.0940579i
\(210\) 4.30299 40.0680i 0.0204904 0.190800i
\(211\) 104.003 241.107i 0.492907 1.14269i −0.472357 0.881408i \(-0.656597\pi\)
0.965263 0.261279i \(-0.0841442\pi\)
\(212\) 67.3682 + 3.92375i 0.317775 + 0.0185083i
\(213\) −75.9145 62.4967i −0.356406 0.293412i
\(214\) 151.062 + 160.117i 0.705898 + 0.748208i
\(215\) 27.4712 + 15.8605i 0.127773 + 0.0737699i
\(216\) 57.0976 50.7135i 0.264341 0.234785i
\(217\) 47.8793 + 82.9294i 0.220642 + 0.382163i
\(218\) 84.9499 + 25.4323i 0.389678 + 0.116662i
\(219\) 100.802 + 117.869i 0.460281 + 0.538215i
\(220\) 47.6291 + 31.3261i 0.216496 + 0.142391i
\(221\) −29.6016 253.258i −0.133944 1.14596i
\(222\) −163.172 + 109.525i −0.735010 + 0.493355i
\(223\) −252.349 126.735i −1.13161 0.568317i −0.218423 0.975854i \(-0.570091\pi\)
−0.913189 + 0.407537i \(0.866388\pi\)
\(224\) 24.5165 4.32291i 0.109449 0.0192987i
\(225\) 49.2094 176.336i 0.218708 0.783718i
\(226\) 19.2304 109.061i 0.0850901 0.482570i
\(227\) −19.3048 14.3719i −0.0850432 0.0633124i 0.553797 0.832652i \(-0.313178\pi\)
−0.638841 + 0.769339i \(0.720586\pi\)
\(228\) 122.343 92.8762i 0.536594 0.407352i
\(229\) −248.633 + 263.536i −1.08573 + 1.15081i −0.0979162 + 0.995195i \(0.531218\pi\)
−0.987818 + 0.155616i \(0.950264\pi\)
\(230\) −15.5129 + 4.64427i −0.0674476 + 0.0201925i
\(231\) −155.069 + 79.7074i −0.671295 + 0.345054i
\(232\) −29.7453 3.47673i −0.128213 0.0149859i
\(233\) −130.776 + 155.852i −0.561269 + 0.668895i −0.969815 0.243843i \(-0.921592\pi\)
0.408545 + 0.912738i \(0.366036\pi\)
\(234\) −85.4918 + 51.5192i −0.365349 + 0.220168i
\(235\) 152.113 127.638i 0.647289 0.543140i
\(236\) −37.6968 57.3152i −0.159732 0.242861i
\(237\) −86.8768 351.833i −0.366569 1.48453i
\(238\) 120.839 + 162.315i 0.507726 + 0.681994i
\(239\) −49.7415 99.0435i −0.208123 0.414408i 0.765217 0.643772i \(-0.222632\pi\)
−0.973341 + 0.229364i \(0.926335\pi\)
\(240\) −25.8990 + 0.242764i −0.107912 + 0.00101152i
\(241\) 332.145 78.7198i 1.37820 0.326638i 0.526277 0.850313i \(-0.323588\pi\)
0.851918 + 0.523675i \(0.175439\pi\)
\(242\) 75.5288i 0.312102i
\(243\) −11.3843 242.733i −0.0468490 0.998902i
\(244\) 56.2802 0.230657
\(245\) 14.7497 + 62.2341i 0.0602030 + 0.254017i
\(246\) 0.579142 + 61.7850i 0.00235424 + 0.251159i
\(247\) −179.410 + 90.1031i −0.726357 + 0.364790i
\(248\) 49.3665 36.7520i 0.199058 0.148194i
\(249\) 30.1843 7.45330i 0.121222 0.0299329i
\(250\) −115.630 + 76.0513i −0.462521 + 0.304205i
\(251\) 112.734 + 134.351i 0.449138 + 0.535262i 0.942342 0.334652i \(-0.108619\pi\)
−0.493204 + 0.869914i \(0.664174\pi\)
\(252\) 38.3143 69.3321i 0.152041 0.275127i
\(253\) 53.6703 + 45.0347i 0.212136 + 0.178003i
\(254\) 14.3946 123.153i 0.0566715 0.484856i
\(255\) −96.2444 187.241i −0.377429 0.734280i
\(256\) −4.58885 15.3278i −0.0179252 0.0598743i
\(257\) −211.946 199.960i −0.824691 0.778056i 0.152973 0.988230i \(-0.451115\pi\)
−0.977664 + 0.210174i \(0.932597\pi\)
\(258\) 37.7024 + 49.6643i 0.146133 + 0.192497i
\(259\) −121.729 + 163.511i −0.469998 + 0.631317i
\(260\) 33.3381 + 5.87840i 0.128223 + 0.0226092i
\(261\) −68.0759 + 66.6822i −0.260827 + 0.255487i
\(262\) 7.24656 + 41.0973i 0.0276586 + 0.156860i
\(263\) 201.909 402.033i 0.767714 1.52864i −0.0791674 0.996861i \(-0.525226\pi\)
0.846881 0.531782i \(-0.178478\pi\)
\(264\) 62.4525 + 93.0429i 0.236562 + 0.352435i
\(265\) −72.3326 + 8.45447i −0.272953 + 0.0319037i
\(266\) 87.5528 133.118i 0.329146 0.500442i
\(267\) 304.195 260.148i 1.13931 0.974336i
\(268\) 52.2486 174.522i 0.194957 0.651203i
\(269\) −23.2637 + 13.4313i −0.0864821 + 0.0499304i −0.542617 0.839980i \(-0.682567\pi\)
0.456135 + 0.889910i \(0.349233\pi\)
\(270\) −51.1785 + 64.5969i −0.189550 + 0.239248i
\(271\) −50.6698 + 87.7627i −0.186974 + 0.323848i −0.944240 0.329259i \(-0.893201\pi\)
0.757266 + 0.653106i \(0.226535\pi\)
\(272\) 94.5992 89.2498i 0.347791 0.328124i
\(273\) −65.8054 + 79.9336i −0.241045 + 0.292797i
\(274\) −0.487738 + 8.37413i −0.00178006 + 0.0305625i
\(275\) 246.667 + 106.402i 0.896971 + 0.386916i
\(276\) −31.6490 3.39885i −0.114670 0.0123147i
\(277\) 6.72033 + 115.384i 0.0242611 + 0.416547i 0.988471 + 0.151408i \(0.0483808\pi\)
−0.964210 + 0.265139i \(0.914582\pi\)
\(278\) 83.0196 228.095i 0.298632 0.820484i
\(279\) 7.71998 195.682i 0.0276702 0.701369i
\(280\) −25.2454 + 9.18858i −0.0901622 + 0.0328163i
\(281\) −35.9607 + 15.5119i −0.127974 + 0.0552026i −0.459104 0.888383i \(-0.651829\pi\)
0.331130 + 0.943585i \(0.392570\pi\)
\(282\) 372.863 115.447i 1.32221 0.409386i
\(283\) −230.497 54.6288i −0.814477 0.193035i −0.197792 0.980244i \(-0.563377\pi\)
−0.616686 + 0.787209i \(0.711525\pi\)
\(284\) −15.1177 + 63.7865i −0.0532313 + 0.224600i
\(285\) −112.619 + 121.633i −0.395154 + 0.426783i
\(286\) −58.0121 134.487i −0.202840 0.470235i
\(287\) 21.9204 + 60.2259i 0.0763778 + 0.209846i
\(288\) −47.1177 19.2852i −0.163603 0.0669626i
\(289\) 721.833 + 262.726i 2.49769 + 0.909085i
\(290\) 32.2642 1.87917i 0.111256 0.00647991i
\(291\) −227.510 166.083i −0.781820 0.570732i
\(292\) 40.9530 94.9397i 0.140250 0.325136i
\(293\) 227.966 + 13.2775i 0.778042 + 0.0453158i 0.442569 0.896734i \(-0.354067\pi\)
0.335472 + 0.942050i \(0.391104\pi\)
\(294\) −20.6699 + 124.011i −0.0703059 + 0.421807i
\(295\) 50.8039 + 53.8490i 0.172217 + 0.182539i
\(296\) 113.462 + 65.5073i 0.383317 + 0.221308i
\(297\) 355.184 + 31.4214i 1.19590 + 0.105796i
\(298\) −200.298 346.926i −0.672140 1.16418i
\(299\) 39.8564 + 11.9322i 0.133299 + 0.0399071i
\(300\) −119.991 + 22.3193i −0.399971 + 0.0743977i
\(301\) 54.0380 + 35.5413i 0.179528 + 0.118078i
\(302\) 24.2049 + 207.086i 0.0801485 + 0.685715i
\(303\) 151.392 + 74.2632i 0.499643 + 0.245093i
\(304\) −91.5098 45.9580i −0.301019 0.151178i
\(305\) −59.8132 + 10.5467i −0.196109 + 0.0345793i
\(306\) −31.8025 412.612i −0.103930 1.34840i
\(307\) −73.5716 + 417.245i −0.239647 + 1.35910i 0.592956 + 0.805235i \(0.297961\pi\)
−0.832603 + 0.553870i \(0.813150\pi\)
\(308\) 93.2362 + 69.4118i 0.302715 + 0.225363i
\(309\) −30.5246 241.501i −0.0987852 0.781558i
\(310\) −45.5783 + 48.3102i −0.147027 + 0.155839i
\(311\) −312.086 + 93.4323i −1.00349 + 0.300425i −0.746065 0.665873i \(-0.768059\pi\)
−0.257426 + 0.966298i \(0.582874\pi\)
\(312\) 55.9365 + 36.0435i 0.179284 + 0.115524i
\(313\) 296.125 + 34.6120i 0.946086 + 0.110582i 0.575124 0.818066i \(-0.304954\pi\)
0.370962 + 0.928648i \(0.379028\pi\)
\(314\) 2.45687 2.92798i 0.00782443 0.00932479i
\(315\) −27.7269 + 80.8643i −0.0880219 + 0.256712i
\(316\) −185.076 + 155.298i −0.585685 + 0.491448i
\(317\) 31.0563 + 47.2188i 0.0979694 + 0.148955i 0.881146 0.472844i \(-0.156772\pi\)
−0.783177 + 0.621799i \(0.786402\pi\)
\(318\) −137.517 39.7692i −0.432442 0.125060i
\(319\) −83.5011 112.161i −0.261759 0.351603i
\(320\) 7.74929 + 15.4301i 0.0242165 + 0.0482191i
\(321\) −237.263 402.198i −0.739137 1.25295i
\(322\) −32.1276 + 7.61437i −0.0997750 + 0.0236471i
\(323\) 832.375i 2.57701i
\(324\) −141.941 + 78.0809i −0.438091 + 0.240990i
\(325\) 159.523 0.490840
\(326\) 30.4175 + 128.341i 0.0933051 + 0.393685i
\(327\) −163.781 92.5231i −0.500860 0.282945i
\(328\) 36.8104 18.4869i 0.112227 0.0563624i
\(329\) 324.762 241.776i 0.987117 0.734881i
\(330\) −83.8088 87.1804i −0.253966 0.264183i
\(331\) −167.488 + 110.159i −0.506007 + 0.332806i −0.776712 0.629856i \(-0.783114\pi\)
0.270705 + 0.962662i \(0.412743\pi\)
\(332\) −13.3232 15.8780i −0.0401302 0.0478253i
\(333\) 389.003 149.902i 1.16818 0.450155i
\(334\) −41.4781 34.8043i −0.124186 0.104204i
\(335\) −22.8237 + 195.269i −0.0681305 + 0.582893i
\(336\) −52.7467 2.57632i −0.156984 0.00766761i
\(337\) 97.9025 + 327.017i 0.290512 + 0.970377i 0.971292 + 0.237889i \(0.0764556\pi\)
−0.680780 + 0.732488i \(0.738359\pi\)
\(338\) 110.581 + 104.327i 0.327162 + 0.308661i
\(339\) −91.0219 + 216.572i −0.268501 + 0.638855i
\(340\) −83.8127 + 112.580i −0.246508 + 0.331118i
\(341\) 282.996 + 49.8997i 0.829899 + 0.146334i
\(342\) −296.721 + 134.645i −0.867605 + 0.393699i
\(343\) 60.0906 + 340.791i 0.175191 + 0.993559i
\(344\) 18.6563 37.1477i 0.0542333 0.107987i
\(345\) 34.2727 2.31868i 0.0993411 0.00672080i
\(346\) 375.559 43.8965i 1.08543 0.126869i
\(347\) 7.64878 11.6294i 0.0220426 0.0335141i −0.824298 0.566156i \(-0.808430\pi\)
0.846341 + 0.532641i \(0.178801\pi\)
\(348\) 59.8987 + 21.1677i 0.172123 + 0.0608267i
\(349\) −167.484 + 559.435i −0.479896 + 1.60296i 0.284809 + 0.958584i \(0.408070\pi\)
−0.764705 + 0.644381i \(0.777115\pi\)
\(350\) −109.638 + 63.2996i −0.313252 + 0.180856i
\(351\) 201.057 66.4069i 0.572812 0.189193i
\(352\) 37.3531 64.6975i 0.106117 0.183800i
\(353\) −369.498 + 348.604i −1.04674 + 0.987545i −0.999935 0.0113588i \(-0.996384\pi\)
−0.0468015 + 0.998904i \(0.514903\pi\)
\(354\) 51.0519 + 136.276i 0.144214 + 0.384960i
\(355\) 4.11336 70.6237i 0.0115869 0.198940i
\(356\) −245.020 105.691i −0.688257 0.296885i
\(357\) −173.709 392.545i −0.486580 1.09956i
\(358\) 21.4987 + 369.118i 0.0600521 + 1.03105i
\(359\) 21.1885 58.2148i 0.0590208 0.162158i −0.906678 0.421824i \(-0.861390\pi\)
0.965699 + 0.259665i \(0.0836123\pi\)
\(360\) 53.6895 + 11.6662i 0.149138 + 0.0324061i
\(361\) −276.633 + 100.686i −0.766296 + 0.278909i
\(362\) 76.7154 33.0918i 0.211921 0.0914138i
\(363\) −35.4865 + 156.241i −0.0977591 + 0.430417i
\(364\) 67.1635 + 15.9180i 0.184515 + 0.0437309i
\(365\) −25.7325 + 108.574i −0.0705001 + 0.297463i
\(366\) −116.423 26.4428i −0.318096 0.0722480i
\(367\) −34.0832 79.0138i −0.0928699 0.215297i 0.865449 0.500997i \(-0.167033\pi\)
−0.958319 + 0.285700i \(0.907774\pi\)
\(368\) 7.25788 + 19.9409i 0.0197225 + 0.0541872i
\(369\) 27.8311 128.083i 0.0754231 0.347108i
\(370\) −132.860 48.3572i −0.359082 0.130695i
\(371\) −148.237 + 8.63382i −0.399561 + 0.0232718i
\(372\) −119.389 + 52.8320i −0.320938 + 0.142022i
\(373\) 138.833 321.850i 0.372205 0.862869i −0.624444 0.781070i \(-0.714674\pi\)
0.996649 0.0817989i \(-0.0260665\pi\)
\(374\) 606.222 + 35.3084i 1.62091 + 0.0944075i
\(375\) 274.929 102.994i 0.733144 0.274652i
\(376\) −178.572 189.276i −0.474926 0.503392i
\(377\) −71.9102 41.5174i −0.190743 0.110126i
\(378\) −111.833 + 125.421i −0.295855 + 0.331802i
\(379\) 61.1837 + 105.973i 0.161435 + 0.279613i 0.935383 0.353635i \(-0.115055\pi\)
−0.773949 + 0.633248i \(0.781721\pi\)
\(380\) 105.867 + 31.6944i 0.278597 + 0.0834064i
\(381\) −87.6397 + 247.996i −0.230025 + 0.650909i
\(382\) −448.232 294.807i −1.17338 0.771745i
\(383\) −81.3808 696.257i −0.212482 1.81790i −0.506652 0.862151i \(-0.669117\pi\)
0.294170 0.955753i \(-0.404957\pi\)
\(384\) 2.29101 + 33.8637i 0.00596617 + 0.0881868i
\(385\) −112.097 56.2970i −0.291160 0.146226i
\(386\) −283.445 + 49.9789i −0.734313 + 0.129479i
\(387\) −54.6580 120.451i −0.141235 0.311244i
\(388\) −32.6089 + 184.934i −0.0840436 + 0.476635i
\(389\) 409.214 + 304.649i 1.05197 + 0.783159i 0.976831 0.214014i \(-0.0686539\pi\)
0.0751347 + 0.997173i \(0.476061\pi\)
\(390\) −66.2024 27.8239i −0.169750 0.0713433i
\(391\) −118.371 + 125.466i −0.302739 + 0.320885i
\(392\) 80.2936 24.0383i 0.204831 0.0613223i
\(393\) 4.31871 88.4200i 0.0109891 0.224987i
\(394\) −137.987 16.1284i −0.350221 0.0409350i
\(395\) 167.593 199.729i 0.424285 0.505643i
\(396\) −85.4759 221.815i −0.215848 0.560138i
\(397\) 184.904 155.153i 0.465752 0.390812i −0.379490 0.925196i \(-0.623901\pi\)
0.845242 + 0.534383i \(0.179456\pi\)
\(398\) −294.429 447.658i −0.739773 1.12477i
\(399\) −243.659 + 234.236i −0.610674 + 0.587057i
\(400\) 48.5886 + 65.2658i 0.121471 + 0.163164i
\(401\) 260.353 + 518.405i 0.649259 + 1.29278i 0.941686 + 0.336492i \(0.109241\pi\)
−0.292428 + 0.956288i \(0.594463\pi\)
\(402\) −190.081 + 336.474i −0.472838 + 0.837001i
\(403\) 166.042 39.3527i 0.412015 0.0976494i
\(404\) 112.417i 0.278260i
\(405\) 136.220 109.582i 0.336345 0.270572i
\(406\) 65.8972 0.162308
\(407\) 141.074 + 595.236i 0.346618 + 1.46250i
\(408\) −237.624 + 140.179i −0.582413 + 0.343575i
\(409\) 360.845 181.223i 0.882262 0.443089i 0.0508251 0.998708i \(-0.483815\pi\)
0.831437 + 0.555619i \(0.187519\pi\)
\(410\) −35.6568 + 26.5455i −0.0869678 + 0.0647451i
\(411\) 4.94346 17.0939i 0.0120279 0.0415909i
\(412\) −135.585 + 89.1754i −0.329089 + 0.216445i
\(413\) 97.0284 + 115.634i 0.234936 + 0.279985i
\(414\) 63.8732 + 21.9010i 0.154283 + 0.0529009i
\(415\) 17.1351 + 14.3780i 0.0412893 + 0.0346459i
\(416\) 5.15015 44.0623i 0.0123802 0.105919i
\(417\) −278.905 + 432.838i −0.668838 + 1.03798i
\(418\) −137.129 458.043i −0.328060 1.09580i
\(419\) 191.423 + 180.598i 0.456857 + 0.431023i 0.879952 0.475063i \(-0.157575\pi\)
−0.423095 + 0.906086i \(0.639056\pi\)
\(420\) 56.5407 7.14647i 0.134621 0.0170154i
\(421\) −451.125 + 605.966i −1.07156 + 1.43935i −0.181562 + 0.983380i \(0.558115\pi\)
−0.889995 + 0.455971i \(0.849292\pi\)
\(422\) 365.705 + 64.4837i 0.866600 + 0.152805i
\(423\) −825.559 + 63.6310i −1.95168 + 0.150428i
\(424\) 16.5720 + 93.9847i 0.0390850 + 0.221662i
\(425\) −296.829 + 591.035i −0.698421 + 1.39067i
\(426\) 61.2425 124.848i 0.143762 0.293071i
\(427\) −123.002 + 14.3768i −0.288060 + 0.0336694i
\(428\) −171.068 + 260.096i −0.399691 + 0.607701i
\(429\) 56.8182 + 305.461i 0.132443 + 0.712031i
\(430\) −12.8661 + 42.9758i −0.0299212 + 0.0999436i
\(431\) −247.815 + 143.076i −0.574977 + 0.331963i −0.759135 0.650933i \(-0.774378\pi\)
0.184157 + 0.982897i \(0.441044\pi\)
\(432\) 88.4083 + 62.0320i 0.204649 + 0.143593i
\(433\) 231.637 401.208i 0.534959 0.926576i −0.464206 0.885727i \(-0.653660\pi\)
0.999165 0.0408491i \(-0.0130063\pi\)
\(434\) −98.5032 + 92.9330i −0.226966 + 0.214131i
\(435\) −67.6257 11.2717i −0.155461 0.0259120i
\(436\) −7.29169 + 125.193i −0.0167241 + 0.287141i
\(437\) 124.707 + 53.7935i 0.285371 + 0.123097i
\(438\) −129.323 + 177.154i −0.295259 + 0.404462i
\(439\) −27.8689 478.490i −0.0634826 1.08995i −0.868174 0.496261i \(-0.834706\pi\)
0.804691 0.593694i \(-0.202331\pi\)
\(440\) −27.5739 + 75.7587i −0.0626680 + 0.172179i
\(441\) 101.024 246.822i 0.229080 0.559688i
\(442\) 338.852 123.332i 0.766633 0.279032i
\(443\) 527.535 227.556i 1.19082 0.513671i 0.293892 0.955839i \(-0.405050\pi\)
0.896933 + 0.442167i \(0.145790\pi\)
\(444\) −203.933 188.820i −0.459309 0.425270i
\(445\) 280.207 + 66.4103i 0.629678 + 0.149237i
\(446\) 92.0974 388.590i 0.206497 0.871277i
\(447\) 251.343 + 811.771i 0.562288 + 1.81604i
\(448\) 13.9445 + 32.3271i 0.0311262 + 0.0721586i
\(449\) −267.102 733.857i −0.594882 1.63442i −0.761323 0.648373i \(-0.775450\pi\)
0.166441 0.986051i \(-0.446773\pi\)
\(450\) 258.705 + 10.2063i 0.574899 + 0.0226807i
\(451\) 180.731 + 65.7809i 0.400735 + 0.145856i
\(452\) 156.350 9.10633i 0.345906 0.0201468i
\(453\) 47.2265 439.757i 0.104253 0.970767i
\(454\) 13.4810 31.2525i 0.0296938 0.0688381i
\(455\) −74.3627 4.33114i −0.163435 0.00951898i
\(456\) 167.707 + 138.065i 0.367780 + 0.302775i
\(457\) −591.006 626.430i −1.29323 1.37074i −0.890209 0.455552i \(-0.849442\pi\)
−0.403020 0.915191i \(-0.632040\pi\)
\(458\) −443.739 256.193i −0.968862 0.559373i
\(459\) −128.074 + 868.485i −0.279029 + 1.89212i
\(460\) −11.4503 19.8326i −0.0248920 0.0431143i
\(461\) −581.343 174.043i −1.26105 0.377533i −0.414600 0.910004i \(-0.636078\pi\)
−0.846448 + 0.532471i \(0.821264\pi\)
\(462\) −160.259 187.394i −0.346881 0.405614i
\(463\) −545.233 358.605i −1.17761 0.774525i −0.198948 0.980010i \(-0.563753\pi\)
−0.978660 + 0.205485i \(0.934123\pi\)
\(464\) −4.91684 42.0663i −0.0105966 0.0906601i
\(465\) 116.983 78.5216i 0.251576 0.168864i
\(466\) −257.119 129.130i −0.551757 0.277103i
\(467\) −634.988 + 111.966i −1.35972 + 0.239755i −0.805490 0.592610i \(-0.798098\pi\)
−0.554228 + 0.832365i \(0.686987\pi\)
\(468\) −98.7775 100.842i −0.211063 0.215475i
\(469\) −69.6085 + 394.769i −0.148419 + 0.841725i
\(470\) 225.252 + 167.694i 0.479259 + 0.356795i
\(471\) −6.45805 + 4.90259i −0.0137114 + 0.0104089i
\(472\) 66.5767 70.5671i 0.141052 0.149507i
\(473\) 185.939 55.6665i 0.393105 0.117688i
\(474\) 455.821 234.297i 0.961647 0.494298i
\(475\) 517.233 + 60.4559i 1.08891 + 0.127276i
\(476\) −183.950 + 219.223i −0.386449 + 0.460552i
\(477\) 265.787 + 146.879i 0.557205 + 0.307922i
\(478\) 120.070 100.751i 0.251193 0.210776i
\(479\) 91.9986 + 139.877i 0.192064 + 0.292019i 0.918663 0.395043i \(-0.129270\pi\)
−0.726599 + 0.687062i \(0.758900\pi\)
\(480\) −8.78075 35.5602i −0.0182932 0.0740838i
\(481\) 216.922 + 291.377i 0.450981 + 0.605773i
\(482\) 216.652 + 431.389i 0.449485 + 0.894998i
\(483\) 70.0377 0.656499i 0.145006 0.00135921i
\(484\) 103.935 24.6330i 0.214741 0.0508946i
\(485\) 202.655i 0.417844i
\(486\) 330.311 94.8309i 0.679651 0.195125i
\(487\) −633.629 −1.30109 −0.650543 0.759470i \(-0.725458\pi\)
−0.650543 + 0.759470i \(0.725458\pi\)
\(488\) 18.3552 + 77.4468i 0.0376132 + 0.158702i
\(489\) −2.62254 279.783i −0.00536307 0.572153i
\(490\) −80.8294 + 40.5940i −0.164958 + 0.0828450i
\(491\) 62.7659 46.7275i 0.127833 0.0951680i −0.531343 0.847157i \(-0.678313\pi\)
0.659176 + 0.751989i \(0.270905\pi\)
\(492\) −84.8331 + 20.9475i −0.172425 + 0.0425763i
\(493\) 287.628 189.176i 0.583423 0.383724i
\(494\) −182.503 217.499i −0.369440 0.440281i
\(495\) 132.409 + 219.721i 0.267493 + 0.443881i
\(496\) 66.6746 + 55.9466i 0.134425 + 0.112796i
\(497\) 16.7457 143.269i 0.0336935 0.288267i
\(498\) 20.1008 + 39.1056i 0.0403630 + 0.0785253i
\(499\) 33.9526 + 113.409i 0.0680412 + 0.227273i 0.985246 0.171142i \(-0.0547456\pi\)
−0.917205 + 0.398415i \(0.869560\pi\)
\(500\) −142.365 134.315i −0.284731 0.268629i
\(501\) 69.4506 + 91.4855i 0.138624 + 0.182606i
\(502\) −148.112 + 198.949i −0.295044 + 0.396313i
\(503\) −20.1434 3.55183i −0.0400466 0.00706130i 0.153589 0.988135i \(-0.450917\pi\)
−0.193636 + 0.981074i \(0.562028\pi\)
\(504\) 107.903 + 30.1120i 0.214094 + 0.0597461i
\(505\) 21.0665 + 119.474i 0.0417158 + 0.236582i
\(506\) −44.4680 + 88.5430i −0.0878814 + 0.174986i
\(507\) −179.734 267.771i −0.354504 0.528148i
\(508\) 174.165 20.3570i 0.342845 0.0400728i
\(509\) 102.204 155.394i 0.200794 0.305293i −0.721028 0.692906i \(-0.756330\pi\)
0.921822 + 0.387613i \(0.126700\pi\)
\(510\) 226.273 193.508i 0.443672 0.379428i
\(511\) −65.2512 + 217.954i −0.127693 + 0.426525i
\(512\) 19.5959 11.3137i 0.0382733 0.0220971i
\(513\) 677.069 139.120i 1.31982 0.271188i
\(514\) 206.040 356.872i 0.400856 0.694304i
\(515\) 127.385 120.181i 0.247349 0.233362i
\(516\) −56.0465 + 68.0795i −0.108617 + 0.131937i
\(517\) 70.6456 1212.94i 0.136645 2.34611i
\(518\) −264.707 114.184i −0.511018 0.220432i
\(519\) −797.518 85.6472i −1.53664 0.165023i
\(520\) 2.78365 + 47.7935i 0.00535318 + 0.0919106i
\(521\) −38.9405 + 106.988i −0.0747418 + 0.205351i −0.971437 0.237297i \(-0.923739\pi\)
0.896695 + 0.442648i \(0.145961\pi\)
\(522\) −113.963 71.9311i −0.218320 0.137799i
\(523\) 141.887 51.6426i 0.271294 0.0987431i −0.202791 0.979222i \(-0.565001\pi\)
0.474085 + 0.880479i \(0.342779\pi\)
\(524\) −54.1903 + 23.3754i −0.103417 + 0.0446096i
\(525\) 256.542 79.4312i 0.488651 0.151298i
\(526\) 619.086 + 146.726i 1.17697 + 0.278947i
\(527\) −163.157 + 688.413i −0.309596 + 1.30629i
\(528\) −107.668 + 116.285i −0.203916 + 0.220238i
\(529\) 198.379 + 459.893i 0.375007 + 0.869364i
\(530\) −35.2247 96.7791i −0.0664617 0.182602i
\(531\) −41.5797 305.891i −0.0783045 0.576066i
\(532\) 211.737 + 77.0658i 0.398001 + 0.144861i
\(533\) 114.017 6.64074i 0.213916 0.0124592i
\(534\) 457.198 + 333.757i 0.856176 + 0.625012i
\(535\) 133.066 308.481i 0.248721 0.576600i
\(536\) 257.199 + 14.9802i 0.479850 + 0.0279481i
\(537\) 128.954 773.671i 0.240138 1.44073i
\(538\) −26.0699 27.6325i −0.0484571 0.0513615i
\(539\) 338.913 + 195.671i 0.628780 + 0.363026i
\(540\) −105.583 49.3587i −0.195524 0.0914050i
\(541\) −169.549 293.668i −0.313399 0.542823i 0.665697 0.746222i \(-0.268134\pi\)
−0.979096 + 0.203399i \(0.934801\pi\)
\(542\) −137.295 41.1035i −0.253312 0.0758367i
\(543\) −174.244 + 32.4108i −0.320892 + 0.0596884i
\(544\) 153.669 + 101.069i 0.282479 + 0.185789i
\(545\) −15.7113 134.419i −0.0288281 0.246640i
\(546\) −131.458 64.4848i −0.240765 0.118104i
\(547\) −655.167 329.037i −1.19775 0.601531i −0.265766 0.964038i \(-0.585625\pi\)
−0.931981 + 0.362507i \(0.881921\pi\)
\(548\) −11.6827 + 2.05997i −0.0213187 + 0.00375907i
\(549\) 228.413 + 109.401i 0.416053 + 0.199273i
\(550\) −65.9707 + 374.139i −0.119947 + 0.680252i
\(551\) −217.425 161.867i −0.394602 0.293770i
\(552\) −5.64487 44.6604i −0.0102262 0.0809066i
\(553\) 364.818 386.684i 0.659706 0.699248i
\(554\) −156.587 + 46.8790i −0.282648 + 0.0846192i
\(555\) 252.119 + 162.457i 0.454269 + 0.292715i
\(556\) 340.955 + 39.8520i 0.613229 + 0.0716762i
\(557\) −59.1902 + 70.5401i −0.106266 + 0.126643i −0.816556 0.577266i \(-0.804119\pi\)
0.710290 + 0.703909i \(0.248564\pi\)
\(558\) 271.795 53.1964i 0.487087 0.0953340i
\(559\) 88.2919 74.0857i 0.157946 0.132533i
\(560\) −20.8779 31.7433i −0.0372819 0.0566844i
\(561\) −1237.46 357.868i −2.20581 0.637911i
\(562\) −33.0741 44.4262i −0.0588507 0.0790503i
\(563\) −200.106 398.444i −0.355429 0.707716i 0.642873 0.765973i \(-0.277742\pi\)
−0.998302 + 0.0582563i \(0.981446\pi\)
\(564\) 280.471 + 475.443i 0.497290 + 0.842983i
\(565\) −164.458 + 38.9773i −0.291076 + 0.0689864i
\(566\) 335.002i 0.591876i
\(567\) 290.270 206.906i 0.511940 0.364914i
\(568\) −92.7067 −0.163216
\(569\) 54.3957 + 229.514i 0.0955988 + 0.403363i 0.999714 0.0239263i \(-0.00761670\pi\)
−0.904115 + 0.427289i \(0.859469\pi\)
\(570\) −204.108 115.305i −0.358085 0.202289i
\(571\) 624.870 313.822i 1.09434 0.549600i 0.192340 0.981328i \(-0.438392\pi\)
0.902004 + 0.431729i \(0.142096\pi\)
\(572\) 166.147 123.692i 0.290466 0.216244i
\(573\) 788.716 + 820.445i 1.37647 + 1.43184i
\(574\) −75.7273 + 49.8066i −0.131929 + 0.0867712i
\(575\) −69.3666 82.6679i −0.120638 0.143770i
\(576\) 11.1713 71.1281i 0.0193946 0.123486i
\(577\) −638.414 535.693i −1.10644 0.928410i −0.108595 0.994086i \(-0.534635\pi\)
−0.997841 + 0.0656761i \(0.979080\pi\)
\(578\) −126.116 + 1078.99i −0.218194 + 1.86677i
\(579\) 609.826 + 29.7858i 1.05324 + 0.0514436i
\(580\) 13.1086 + 43.7856i 0.0226009 + 0.0754924i
\(581\) 33.1742 + 31.2983i 0.0570985 + 0.0538697i
\(582\) 154.346 367.241i 0.265199 0.630998i
\(583\) −266.092 + 357.424i −0.456419 + 0.613077i
\(584\) 144.002 + 25.3915i 0.246579 + 0.0434786i
\(585\) 123.876 + 88.6621i 0.211753 + 0.151559i
\(586\) 56.0778 + 318.033i 0.0956959 + 0.542719i
\(587\) −219.768 + 437.593i −0.374391 + 0.745474i −0.999382 0.0351583i \(-0.988806\pi\)
0.624991 + 0.780632i \(0.285103\pi\)
\(588\) −177.392 + 12.0013i −0.301688 + 0.0204103i
\(589\) 553.285 64.6697i 0.939362 0.109796i
\(590\) −57.5320 + 87.4732i −0.0975119 + 0.148260i
\(591\) 277.867 + 98.1958i 0.470164 + 0.166152i
\(592\) −53.1396 + 177.499i −0.0897629 + 0.299829i
\(593\) 353.306 203.982i 0.595795 0.343982i −0.171591 0.985168i \(-0.554891\pi\)
0.767386 + 0.641186i \(0.221557\pi\)
\(594\) 72.6008 + 499.013i 0.122224 + 0.840090i
\(595\) 154.416 267.456i 0.259522 0.449506i
\(596\) 412.077 388.775i 0.691405 0.652307i
\(597\) 398.739 + 1064.38i 0.667904 + 1.78288i
\(598\) −3.42108 + 58.7377i −0.00572087 + 0.0982236i
\(599\) 251.363 + 108.428i 0.419638 + 0.181014i 0.595420 0.803415i \(-0.296986\pi\)
−0.175781 + 0.984429i \(0.556245\pi\)
\(600\) −69.8474 157.840i −0.116412 0.263067i
\(601\) 34.8267 + 597.951i 0.0579479 + 0.994928i 0.894508 + 0.447052i \(0.147526\pi\)
−0.836560 + 0.547875i \(0.815437\pi\)
\(602\) −31.2843 + 85.9528i −0.0519672 + 0.142779i
\(603\) 551.298 606.735i 0.914258 1.00619i
\(604\) −277.075 + 100.847i −0.458734 + 0.166965i
\(605\) −105.843 + 45.6562i −0.174947 + 0.0754649i
\(606\) −52.8181 + 232.550i −0.0871586 + 0.383745i
\(607\) −1113.98 264.018i −1.83522 0.434955i −0.840881 0.541221i \(-0.817962\pi\)
−0.994338 + 0.106266i \(0.966111\pi\)
\(608\) 33.3974 140.915i 0.0549300 0.231768i
\(609\) −136.317 30.9612i −0.223838 0.0508395i
\(610\) −34.0207 78.8689i −0.0557716 0.129293i
\(611\) −246.765 677.980i −0.403870 1.10962i
\(612\) 557.420 178.332i 0.910817 0.291393i
\(613\) 172.449 + 62.7663i 0.281320 + 0.102392i 0.478827 0.877910i \(-0.341062\pi\)
−0.197507 + 0.980301i \(0.563284\pi\)
\(614\) −598.163 + 34.8390i −0.974207 + 0.0567411i
\(615\) 86.2330 38.1599i 0.140216 0.0620486i
\(616\) −65.1090 + 150.940i −0.105696 + 0.245032i
\(617\) −689.541 40.1612i −1.11757 0.0650911i −0.510603 0.859817i \(-0.670578\pi\)
−0.606969 + 0.794726i \(0.707615\pi\)
\(618\) 322.373 120.768i 0.521639 0.195418i
\(619\) 446.707 + 473.482i 0.721659 + 0.764914i 0.979537 0.201264i \(-0.0645048\pi\)
−0.257878 + 0.966177i \(0.583023\pi\)
\(620\) −81.3443 46.9641i −0.131200 0.0757486i
\(621\) −121.840 75.3154i −0.196200 0.121281i
\(622\) −230.355 398.987i −0.370346 0.641458i
\(623\) 562.494 + 168.400i 0.902880 + 0.270305i
\(624\) −31.3561 + 88.7291i −0.0502501 + 0.142194i
\(625\) −248.406 163.379i −0.397449 0.261407i
\(626\) 48.9488 + 418.784i 0.0781930 + 0.668984i
\(627\) 68.4625 + 1011.95i 0.109191 + 1.61396i
\(628\) 4.83046 + 2.42595i 0.00769182 + 0.00386298i
\(629\) −1483.19 + 261.526i −2.35801 + 0.415780i
\(630\) −120.320 11.7817i −0.190984 0.0187011i
\(631\) 156.956 890.143i 0.248742 1.41069i −0.562897 0.826527i \(-0.690313\pi\)
0.811639 0.584159i \(-0.198576\pi\)
\(632\) −274.065 204.034i −0.433647 0.322838i
\(633\) −726.213 305.217i −1.14726 0.482175i
\(634\) −54.8488 + 58.1363i −0.0865123 + 0.0916977i
\(635\) −181.284 + 54.2728i −0.285486 + 0.0854690i
\(636\) 9.87639 202.206i 0.0155289 0.317934i
\(637\) 230.817 + 26.9786i 0.362350 + 0.0423527i
\(638\) 127.112 151.486i 0.199234 0.237438i
\(639\) −185.347 + 229.491i −0.290058 + 0.359140i
\(640\) −18.7059 + 15.6961i −0.0292280 + 0.0245252i
\(641\) −422.978 643.108i −0.659873 1.00329i −0.998063 0.0622102i \(-0.980185\pi\)
0.338190 0.941078i \(-0.390185\pi\)
\(642\) 476.081 457.669i 0.741559 0.712880i
\(643\) −360.136 483.746i −0.560087 0.752327i 0.428407 0.903586i \(-0.359075\pi\)
−0.988494 + 0.151259i \(0.951667\pi\)
\(644\) −20.9562 41.7272i −0.0325406 0.0647937i
\(645\) 46.8070 82.8561i 0.0725690 0.128459i
\(646\) 1145.43 271.471i 1.77310 0.420233i
\(647\) 149.653i 0.231303i −0.993290 0.115652i \(-0.963104\pi\)
0.993290 0.115652i \(-0.0368956\pi\)
\(648\) −153.739 169.859i −0.237252 0.262129i
\(649\) 452.983 0.697971
\(650\) 52.0269 + 219.519i 0.0800413 + 0.337721i
\(651\) 247.431 145.963i 0.380078 0.224214i
\(652\) −166.689 + 83.7145i −0.255658 + 0.128397i
\(653\) 463.849 345.323i 0.710335 0.528825i −0.180262 0.983619i \(-0.557694\pi\)
0.890597 + 0.454794i \(0.150287\pi\)
\(654\) 73.9049 255.554i 0.113004 0.390755i
\(655\) 53.2117 34.9979i 0.0812392 0.0534318i
\(656\) 37.4450 + 44.6252i 0.0570808 + 0.0680262i
\(657\) 350.757 305.706i 0.533877 0.465306i
\(658\) 438.624 + 368.049i 0.666602 + 0.559345i
\(659\) 65.6569 561.731i 0.0996311 0.852399i −0.847334 0.531061i \(-0.821793\pi\)
0.946965 0.321338i \(-0.104132\pi\)
\(660\) 92.6350 143.762i 0.140356 0.217821i
\(661\) 287.347 + 959.806i 0.434716 + 1.45205i 0.842362 + 0.538912i \(0.181164\pi\)
−0.407646 + 0.913140i \(0.633650\pi\)
\(662\) −206.213 194.552i −0.311501 0.293886i
\(663\) −758.907 + 95.9223i −1.14466 + 0.144679i
\(664\) 17.5044 23.5125i 0.0263620 0.0354103i
\(665\) −239.470 42.2251i −0.360106 0.0634964i
\(666\) 333.148 + 486.415i 0.500222 + 0.730353i
\(667\) 9.75414 + 55.3185i 0.0146239 + 0.0829363i
\(668\) 34.3663 68.4289i 0.0514465 0.102438i
\(669\) −373.091 + 760.579i −0.557685 + 1.13689i
\(670\) −276.152 + 32.2776i −0.412168 + 0.0481755i
\(671\) −204.212 + 310.490i −0.304340 + 0.462727i
\(672\) −13.6576 73.4246i −0.0203238 0.109263i
\(673\) 98.3301 328.445i 0.146107 0.488032i −0.853337 0.521359i \(-0.825425\pi\)
0.999444 + 0.0333275i \(0.0106104\pi\)
\(674\) −418.076 + 241.376i −0.620291 + 0.358125i
\(675\) −530.370 142.663i −0.785733 0.211353i
\(676\) −107.500 + 186.195i −0.159023 + 0.275436i
\(677\) −64.9235 + 61.2521i −0.0958988 + 0.0904758i −0.732698 0.680554i \(-0.761739\pi\)
0.636800 + 0.771029i \(0.280258\pi\)
\(678\) −327.709 54.6219i −0.483347 0.0805632i
\(679\) 24.0258 412.508i 0.0353842 0.607523i
\(680\) −182.255 78.6172i −0.268022 0.115614i
\(681\) −42.5710 + 58.3160i −0.0625125 + 0.0856329i
\(682\) 23.6295 + 405.703i 0.0346473 + 0.594872i
\(683\) 57.5999 158.254i 0.0843336 0.231705i −0.890357 0.455263i \(-0.849545\pi\)
0.974691 + 0.223559i \(0.0717674\pi\)
\(684\) −282.057 364.403i −0.412364 0.532752i
\(685\) 12.0300 4.37857i 0.0175621 0.00639207i
\(686\) −449.362 + 193.836i −0.655046 + 0.282559i
\(687\) 797.564 + 738.456i 1.16094 + 1.07490i
\(688\) 57.2032 + 13.5574i 0.0831442 + 0.0197055i
\(689\) −61.0223 + 257.473i −0.0885665 + 0.373692i
\(690\) 14.3684 + 46.4062i 0.0208238 + 0.0672553i
\(691\) −463.541 1074.61i −0.670827 1.55515i −0.823775 0.566917i \(-0.808136\pi\)
0.152948 0.988234i \(-0.451123\pi\)
\(692\) 182.891 + 502.488i 0.264293 + 0.726138i
\(693\) 243.472 + 462.946i 0.351331 + 0.668031i
\(694\) 18.4977 + 6.73262i 0.0266538 + 0.00970118i
\(695\) −369.827 + 21.5400i −0.532125 + 0.0309928i
\(696\) −9.59332 + 89.3299i −0.0137835 + 0.128348i
\(697\) −187.551 + 434.791i −0.269083 + 0.623804i
\(698\) −824.458 48.0192i −1.18117 0.0687954i
\(699\) 471.214 + 387.928i 0.674126 + 0.554975i
\(700\) −122.863 130.228i −0.175519 0.186040i
\(701\) 448.402 + 258.885i 0.639660 + 0.369308i 0.784484 0.620150i \(-0.212928\pi\)
−0.144824 + 0.989457i \(0.546261\pi\)
\(702\) 156.955 + 255.015i 0.223582 + 0.363270i
\(703\) 592.916 + 1026.96i 0.843408 + 1.46083i
\(704\) 101.212 + 30.3009i 0.143767 + 0.0430411i
\(705\) −387.174 452.730i −0.549183 0.642170i
\(706\) −600.219 394.770i −0.850169 0.559165i
\(707\) 28.7170 + 245.689i 0.0406181 + 0.347510i
\(708\) −170.878 + 114.697i −0.241353 + 0.162002i
\(709\) −1167.91 586.544i −1.64726 0.827283i −0.997758 0.0669205i \(-0.978683\pi\)
−0.649498 0.760363i \(-0.725021\pi\)
\(710\) 98.5264 17.3729i 0.138770 0.0244688i
\(711\) −1053.01 + 270.512i −1.48103 + 0.380467i
\(712\) 65.5301 371.640i 0.0920367 0.521966i
\(713\) −92.5946 68.9341i −0.129866 0.0966818i
\(714\) 483.525 367.064i 0.677205 0.514096i
\(715\) −153.397 + 162.592i −0.214542 + 0.227401i
\(716\) −500.929 + 149.968i −0.699621 + 0.209453i
\(717\) −295.719 + 152.003i −0.412439 + 0.211999i
\(718\) 87.0195 + 10.1711i 0.121197 + 0.0141659i
\(719\) 488.032 581.614i 0.678765 0.808920i −0.311184 0.950350i \(-0.600725\pi\)
0.989948 + 0.141430i \(0.0451699\pi\)
\(720\) 1.45652 + 77.6866i 0.00202294 + 0.107898i
\(721\) 273.543 229.530i 0.379394 0.318349i
\(722\) −228.775 347.835i −0.316862 0.481766i
\(723\) −245.489 994.178i −0.339542 1.37507i
\(724\) 70.5574 + 94.7750i 0.0974550 + 0.130905i
\(725\) 96.6623 + 192.470i 0.133327 + 0.265476i
\(726\) −226.576 + 2.12381i −0.312089 + 0.00292536i
\(727\) −1123.86 + 266.359i −1.54588 + 0.366381i −0.913030 0.407891i \(-0.866264\pi\)
−0.632852 + 0.774272i \(0.718116\pi\)
\(728\) 97.6148i 0.134086i
\(729\) −727.847 + 40.9769i −0.998419 + 0.0562097i
\(730\) −157.800 −0.216165
\(731\) 110.201 + 464.976i 0.150754 + 0.636082i
\(732\) −1.58256 168.833i −0.00216196 0.230646i
\(733\) −1028.36 + 516.464i −1.40295 + 0.704589i −0.979521 0.201340i \(-0.935470\pi\)
−0.423430 + 0.905929i \(0.639174\pi\)
\(734\) 97.6145 72.6713i 0.132990 0.0990072i
\(735\) 186.279 45.9973i 0.253441 0.0625813i
\(736\) −25.0734 + 16.4910i −0.0340671 + 0.0224063i
\(737\) 773.232 + 921.502i 1.04916 + 1.25034i
\(738\) 185.331 3.47470i 0.251126 0.00470826i
\(739\) 226.663 + 190.193i 0.306716 + 0.257365i 0.783133 0.621854i \(-0.213620\pi\)
−0.476417 + 0.879219i \(0.658065\pi\)
\(740\) 23.2129 198.599i 0.0313688 0.268378i
\(741\) 275.342 + 535.673i 0.371582 + 0.722906i
\(742\) −60.2270 201.172i −0.0811684 0.271121i
\(743\) 182.348 + 172.037i 0.245422 + 0.231544i 0.799116 0.601176i \(-0.205301\pi\)
−0.553695 + 0.832720i \(0.686783\pi\)
\(744\) −111.639 147.060i −0.150053 0.197661i
\(745\) −365.091 + 490.402i −0.490055 + 0.658258i
\(746\) 488.175 + 86.0784i 0.654390 + 0.115387i
\(747\) −23.2077 90.3394i −0.0310679 0.120936i
\(748\) 149.126 + 845.733i 0.199366 + 1.13066i
\(749\) 307.431 612.145i 0.410455 0.817283i
\(750\) 231.395 + 344.737i 0.308527 + 0.459650i
\(751\) −284.535 + 33.2574i −0.378875 + 0.0442841i −0.303399 0.952864i \(-0.598122\pi\)
−0.0754756 + 0.997148i \(0.524047\pi\)
\(752\) 202.221 307.462i 0.268911 0.408860i
\(753\) 399.864 341.964i 0.531028 0.454135i
\(754\) 33.6790 112.496i 0.0446671 0.149198i
\(755\) 275.570 159.101i 0.364994 0.210729i
\(756\) −209.064 112.988i −0.276540 0.149455i
\(757\) −277.511 + 480.663i −0.366593 + 0.634957i −0.989030 0.147712i \(-0.952809\pi\)
0.622438 + 0.782669i \(0.286142\pi\)
\(758\) −125.875 + 118.757i −0.166062 + 0.156671i
\(759\) 133.589 162.270i 0.176007 0.213795i
\(760\) −9.08709 + 156.019i −0.0119567 + 0.205289i
\(761\) 679.954 + 293.304i 0.893501 + 0.385419i 0.792788 0.609497i \(-0.208629\pi\)
0.100713 + 0.994916i \(0.467888\pi\)
\(762\) −369.849 39.7188i −0.485366 0.0521245i
\(763\) −16.0446 275.476i −0.0210283 0.361043i
\(764\) 259.495 712.957i 0.339653 0.933190i
\(765\) −558.993 + 293.986i −0.730710 + 0.384295i
\(766\) 931.573 339.065i 1.21615 0.442644i
\(767\) 246.993 106.542i 0.322024 0.138908i
\(768\) −45.8524 + 14.1970i −0.0597037 + 0.0184856i
\(769\) 1077.19 + 255.299i 1.40077 + 0.331988i 0.860477 0.509490i \(-0.170166\pi\)
0.540291 + 0.841478i \(0.318314\pi\)
\(770\) 40.9108 172.616i 0.0531309 0.224177i
\(771\) −593.895 + 641.432i −0.770292 + 0.831948i