Properties

Label 570.2.q.c.349.3
Level $570$
Weight $2$
Character 570.349
Analytic conductor $4.551$
Analytic rank $0$
Dimension $20$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.q (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(20\)
Relative dimension: \(10\) over \(\Q(\zeta_{6})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{20} - \cdots)\)
Defining polynomial: \(x^{20} - 49 x^{16} - 8 x^{15} + 72 x^{13} + 2145 x^{12} - 648 x^{11} + 32 x^{10} - 7056 x^{9} - 11968 x^{8} + 10368 x^{7} + 9344 x^{6} + 18176 x^{5} + 56320 x^{4} + 28160 x^{3} + 8192 x^{2} + 4096 x + 1024\)
Coefficient ring: \(\Z[a_1, \ldots, a_{19}]\)
Coefficient ring index: \( 2^{2} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 349.3
Root \(2.34324 + 0.627868i\) of defining polynomial
Character \(\chi\) \(=\) 570.349
Dual form 570.2.q.c.49.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 + 0.500000i) q^{2} +(0.866025 - 0.500000i) q^{3} +(0.500000 - 0.866025i) q^{4} +(0.384547 - 2.20275i) q^{5} +(-0.500000 + 0.866025i) q^{6} -2.51805i q^{7} +1.00000i q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})\) \(q+(-0.866025 + 0.500000i) q^{2} +(0.866025 - 0.500000i) q^{3} +(0.500000 - 0.866025i) q^{4} +(0.384547 - 2.20275i) q^{5} +(-0.500000 + 0.866025i) q^{6} -2.51805i q^{7} +1.00000i q^{8} +(0.500000 - 0.866025i) q^{9} +(0.768349 + 2.09991i) q^{10} +2.88497 q^{11} -1.00000i q^{12} +(-4.03244 - 2.32813i) q^{13} +(1.25902 + 2.18069i) q^{14} +(-0.768349 - 2.09991i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-6.31158 + 3.64399i) q^{17} +1.00000i q^{18} +(4.11420 - 1.43993i) q^{19} +(-1.71537 - 1.43440i) q^{20} +(-1.25902 - 2.18069i) q^{21} +(-2.49846 + 1.44248i) q^{22} +(1.48237 + 0.855848i) q^{23} +(0.500000 + 0.866025i) q^{24} +(-4.70425 - 1.69412i) q^{25} +4.65626 q^{26} -1.00000i q^{27} +(-2.18069 - 1.25902i) q^{28} +(2.20959 - 3.82712i) q^{29} +(1.71537 + 1.43440i) q^{30} -9.22060 q^{31} +(0.866025 + 0.500000i) q^{32} +(2.49846 - 1.44248i) q^{33} +(3.64399 - 6.31158i) q^{34} +(-5.54663 - 0.968307i) q^{35} +(-0.500000 - 0.866025i) q^{36} -3.26480i q^{37} +(-2.84303 + 3.30411i) q^{38} -4.65626 q^{39} +(2.20275 + 0.384547i) q^{40} +(4.48368 + 7.76596i) q^{41} +(2.18069 + 1.25902i) q^{42} +(5.84894 - 3.37689i) q^{43} +(1.44248 - 2.49846i) q^{44} +(-1.71537 - 1.43440i) q^{45} -1.71170 q^{46} +(-3.98083 - 2.29833i) q^{47} +(-0.866025 - 0.500000i) q^{48} +0.659446 q^{49} +(4.92106 - 0.884968i) q^{50} +(-3.64399 + 6.31158i) q^{51} +(-4.03244 + 2.32813i) q^{52} +(9.38113 + 5.41620i) q^{53} +(0.500000 + 0.866025i) q^{54} +(1.10941 - 6.35487i) q^{55} +2.51805 q^{56} +(2.84303 - 3.30411i) q^{57} +4.41917i q^{58} +(4.73274 + 8.19734i) q^{59} +(-2.20275 - 0.384547i) q^{60} +(7.50173 - 12.9934i) q^{61} +(7.98528 - 4.61030i) q^{62} +(-2.18069 - 1.25902i) q^{63} -1.00000 q^{64} +(-6.67896 + 7.98719i) q^{65} +(-1.44248 + 2.49846i) q^{66} +(-9.23107 - 5.32956i) q^{67} +7.28798i q^{68} +1.71170 q^{69} +(5.28768 - 1.93474i) q^{70} +(-5.38040 - 9.31912i) q^{71} +(0.866025 + 0.500000i) q^{72} +(12.2689 - 7.08348i) q^{73} +(1.63240 + 2.82740i) q^{74} +(-4.92106 + 0.884968i) q^{75} +(0.810083 - 4.28296i) q^{76} -7.26448i q^{77} +(4.03244 - 2.32813i) q^{78} +(4.11998 + 7.13601i) q^{79} +(-2.09991 + 0.768349i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(-7.76596 - 4.48368i) q^{82} -7.14523i q^{83} -2.51805 q^{84} +(5.59972 + 15.3041i) q^{85} +(-3.37689 + 5.84894i) q^{86} -4.41917i q^{87} +2.88497i q^{88} +(2.37111 - 4.10688i) q^{89} +(2.20275 + 0.384547i) q^{90} +(-5.86233 + 10.1539i) q^{91} +(1.48237 - 0.855848i) q^{92} +(-7.98528 + 4.61030i) q^{93} +4.59667 q^{94} +(-1.58971 - 9.61628i) q^{95} +1.00000 q^{96} +(1.98898 - 1.14834i) q^{97} +(-0.571097 + 0.329723i) q^{98} +(1.44248 - 2.49846i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 20q + 10q^{4} - 10q^{6} + 10q^{9} + O(q^{10}) \) \( 20q + 10q^{4} - 10q^{6} + 10q^{9} - 2q^{10} + 12q^{11} + 10q^{14} + 2q^{15} - 10q^{16} + 6q^{19} - 10q^{21} + 10q^{24} + 14q^{25} + 8q^{29} + 40q^{31} + 12q^{34} + 2q^{35} - 10q^{36} + 2q^{40} - 14q^{41} + 6q^{44} + 44q^{46} - 8q^{49} - 8q^{50} - 12q^{51} + 10q^{54} + 20q^{56} + 8q^{59} - 2q^{60} + 16q^{61} - 20q^{64} + 40q^{65} - 6q^{66} - 44q^{69} + 8q^{70} - 4q^{71} + 26q^{74} + 8q^{75} + 8q^{79} - 10q^{81} - 20q^{84} - 16q^{85} - 20q^{86} - 2q^{89} + 2q^{90} - 44q^{91} - 32q^{94} - 80q^{95} + 20q^{96} + 6q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 + 0.500000i −0.612372 + 0.353553i
\(3\) 0.866025 0.500000i 0.500000 0.288675i
\(4\) 0.500000 0.866025i 0.250000 0.433013i
\(5\) 0.384547 2.20275i 0.171975 0.985101i
\(6\) −0.500000 + 0.866025i −0.204124 + 0.353553i
\(7\) 2.51805i 0.951732i −0.879518 0.475866i \(-0.842135\pi\)
0.879518 0.475866i \(-0.157865\pi\)
\(8\) 1.00000i 0.353553i
\(9\) 0.500000 0.866025i 0.166667 0.288675i
\(10\) 0.768349 + 2.09991i 0.242973 + 0.664051i
\(11\) 2.88497 0.869851 0.434925 0.900467i \(-0.356775\pi\)
0.434925 + 0.900467i \(0.356775\pi\)
\(12\) 1.00000i 0.288675i
\(13\) −4.03244 2.32813i −1.11840 0.645707i −0.177406 0.984138i \(-0.556770\pi\)
−0.940991 + 0.338431i \(0.890104\pi\)
\(14\) 1.25902 + 2.18069i 0.336488 + 0.582814i
\(15\) −0.768349 2.09991i −0.198387 0.542195i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) −6.31158 + 3.64399i −1.53078 + 0.883798i −0.531457 + 0.847085i \(0.678355\pi\)
−0.999326 + 0.0367122i \(0.988312\pi\)
\(18\) 1.00000i 0.235702i
\(19\) 4.11420 1.43993i 0.943861 0.330342i
\(20\) −1.71537 1.43440i −0.383568 0.320743i
\(21\) −1.25902 2.18069i −0.274741 0.475866i
\(22\) −2.49846 + 1.44248i −0.532673 + 0.307539i
\(23\) 1.48237 + 0.855848i 0.309096 + 0.178457i 0.646522 0.762895i \(-0.276223\pi\)
−0.337426 + 0.941352i \(0.609556\pi\)
\(24\) 0.500000 + 0.866025i 0.102062 + 0.176777i
\(25\) −4.70425 1.69412i −0.940849 0.338825i
\(26\) 4.65626 0.913167
\(27\) 1.00000i 0.192450i
\(28\) −2.18069 1.25902i −0.412112 0.237933i
\(29\) 2.20959 3.82712i 0.410310 0.710678i −0.584613 0.811312i \(-0.698754\pi\)
0.994923 + 0.100634i \(0.0320872\pi\)
\(30\) 1.71537 + 1.43440i 0.313182 + 0.261885i
\(31\) −9.22060 −1.65607 −0.828035 0.560677i \(-0.810541\pi\)
−0.828035 + 0.560677i \(0.810541\pi\)
\(32\) 0.866025 + 0.500000i 0.153093 + 0.0883883i
\(33\) 2.49846 1.44248i 0.434925 0.251104i
\(34\) 3.64399 6.31158i 0.624939 1.08243i
\(35\) −5.54663 0.968307i −0.937552 0.163674i
\(36\) −0.500000 0.866025i −0.0833333 0.144338i
\(37\) 3.26480i 0.536730i −0.963317 0.268365i \(-0.913517\pi\)
0.963317 0.268365i \(-0.0864834\pi\)
\(38\) −2.84303 + 3.30411i −0.461201 + 0.535998i
\(39\) −4.65626 −0.745598
\(40\) 2.20275 + 0.384547i 0.348286 + 0.0608022i
\(41\) 4.48368 + 7.76596i 0.700233 + 1.21284i 0.968384 + 0.249463i \(0.0802540\pi\)
−0.268151 + 0.963377i \(0.586413\pi\)
\(42\) 2.18069 + 1.25902i 0.336488 + 0.194271i
\(43\) 5.84894 3.37689i 0.891955 0.514971i 0.0173738 0.999849i \(-0.494469\pi\)
0.874582 + 0.484878i \(0.161136\pi\)
\(44\) 1.44248 2.49846i 0.217463 0.376656i
\(45\) −1.71537 1.43440i −0.255712 0.213828i
\(46\) −1.71170 −0.252376
\(47\) −3.98083 2.29833i −0.580664 0.335246i 0.180733 0.983532i \(-0.442153\pi\)
−0.761397 + 0.648286i \(0.775486\pi\)
\(48\) −0.866025 0.500000i −0.125000 0.0721688i
\(49\) 0.659446 0.0942065
\(50\) 4.92106 0.884968i 0.695943 0.125153i
\(51\) −3.64399 + 6.31158i −0.510261 + 0.883798i
\(52\) −4.03244 + 2.32813i −0.559198 + 0.322853i
\(53\) 9.38113 + 5.41620i 1.28860 + 0.743972i 0.978404 0.206701i \(-0.0662729\pi\)
0.310193 + 0.950673i \(0.399606\pi\)
\(54\) 0.500000 + 0.866025i 0.0680414 + 0.117851i
\(55\) 1.10941 6.35487i 0.149592 0.856891i
\(56\) 2.51805 0.336488
\(57\) 2.84303 3.30411i 0.376569 0.437640i
\(58\) 4.41917i 0.580266i
\(59\) 4.73274 + 8.19734i 0.616150 + 1.06720i 0.990182 + 0.139787i \(0.0446418\pi\)
−0.374032 + 0.927416i \(0.622025\pi\)
\(60\) −2.20275 0.384547i −0.284374 0.0496448i
\(61\) 7.50173 12.9934i 0.960498 1.66363i 0.239244 0.970959i \(-0.423100\pi\)
0.721254 0.692671i \(-0.243566\pi\)
\(62\) 7.98528 4.61030i 1.01413 0.585509i
\(63\) −2.18069 1.25902i −0.274741 0.158622i
\(64\) −1.00000 −0.125000
\(65\) −6.67896 + 7.98719i −0.828422 + 0.990689i
\(66\) −1.44248 + 2.49846i −0.177558 + 0.307539i
\(67\) −9.23107 5.32956i −1.12776 0.651110i −0.184386 0.982854i \(-0.559030\pi\)
−0.943369 + 0.331744i \(0.892363\pi\)
\(68\) 7.28798i 0.883798i
\(69\) 1.71170 0.206064
\(70\) 5.28768 1.93474i 0.631999 0.231246i
\(71\) −5.38040 9.31912i −0.638536 1.10598i −0.985754 0.168192i \(-0.946207\pi\)
0.347218 0.937784i \(-0.387126\pi\)
\(72\) 0.866025 + 0.500000i 0.102062 + 0.0589256i
\(73\) 12.2689 7.08348i 1.43597 0.829059i 0.438405 0.898777i \(-0.355543\pi\)
0.997567 + 0.0697187i \(0.0222102\pi\)
\(74\) 1.63240 + 2.82740i 0.189763 + 0.328679i
\(75\) −4.92106 + 0.884968i −0.568235 + 0.102187i
\(76\) 0.810083 4.28296i 0.0929229 0.491289i
\(77\) 7.26448i 0.827865i
\(78\) 4.03244 2.32813i 0.456584 0.263609i
\(79\) 4.11998 + 7.13601i 0.463533 + 0.802864i 0.999134 0.0416079i \(-0.0132480\pi\)
−0.535601 + 0.844471i \(0.679915\pi\)
\(80\) −2.09991 + 0.768349i −0.234778 + 0.0859041i
\(81\) −0.500000 0.866025i −0.0555556 0.0962250i
\(82\) −7.76596 4.48368i −0.857607 0.495140i
\(83\) 7.14523i 0.784291i −0.919903 0.392146i \(-0.871733\pi\)
0.919903 0.392146i \(-0.128267\pi\)
\(84\) −2.51805 −0.274741
\(85\) 5.59972 + 15.3041i 0.607375 + 1.65997i
\(86\) −3.37689 + 5.84894i −0.364139 + 0.630708i
\(87\) 4.41917i 0.473785i
\(88\) 2.88497i 0.307539i
\(89\) 2.37111 4.10688i 0.251337 0.435328i −0.712557 0.701614i \(-0.752463\pi\)
0.963894 + 0.266286i \(0.0857964\pi\)
\(90\) 2.20275 + 0.384547i 0.232191 + 0.0405348i
\(91\) −5.86233 + 10.1539i −0.614540 + 1.06441i
\(92\) 1.48237 0.855848i 0.154548 0.0892284i
\(93\) −7.98528 + 4.61030i −0.828035 + 0.478066i
\(94\) 4.59667 0.474110
\(95\) −1.58971 9.61628i −0.163100 0.986609i
\(96\) 1.00000 0.102062
\(97\) 1.98898 1.14834i 0.201950 0.116596i −0.395615 0.918417i \(-0.629468\pi\)
0.597565 + 0.801821i \(0.296135\pi\)
\(98\) −0.571097 + 0.329723i −0.0576895 + 0.0333070i
\(99\) 1.44248 2.49846i 0.144975 0.251104i
\(100\) −3.81928 + 3.22694i −0.381928 + 0.322694i
\(101\) 1.68398 2.91673i 0.167562 0.290226i −0.770000 0.638044i \(-0.779744\pi\)
0.937562 + 0.347818i \(0.113077\pi\)
\(102\) 7.28798i 0.721618i
\(103\) 10.9873i 1.08261i 0.840826 + 0.541305i \(0.182070\pi\)
−0.840826 + 0.541305i \(0.817930\pi\)
\(104\) 2.32813 4.03244i 0.228292 0.395413i
\(105\) −5.28768 + 1.93474i −0.516025 + 0.188811i
\(106\) −10.8324 −1.05214
\(107\) 3.35775i 0.324605i 0.986741 + 0.162303i \(0.0518921\pi\)
−0.986741 + 0.162303i \(0.948108\pi\)
\(108\) −0.866025 0.500000i −0.0833333 0.0481125i
\(109\) 2.11647 + 3.66583i 0.202721 + 0.351122i 0.949404 0.314057i \(-0.101688\pi\)
−0.746683 + 0.665180i \(0.768355\pi\)
\(110\) 2.21666 + 6.05819i 0.211351 + 0.577625i
\(111\) −1.63240 2.82740i −0.154941 0.268365i
\(112\) −2.18069 + 1.25902i −0.206056 + 0.118966i
\(113\) 18.7982i 1.76839i 0.467118 + 0.884195i \(0.345292\pi\)
−0.467118 + 0.884195i \(0.654708\pi\)
\(114\) −0.810083 + 4.28296i −0.0758712 + 0.401136i
\(115\) 2.45527 2.93619i 0.228955 0.273801i
\(116\) −2.20959 3.82712i −0.205155 0.355339i
\(117\) −4.03244 + 2.32813i −0.372799 + 0.215236i
\(118\) −8.19734 4.73274i −0.754626 0.435684i
\(119\) 9.17574 + 15.8928i 0.841138 + 1.45689i
\(120\) 2.09991 0.768349i 0.191695 0.0701404i
\(121\) −2.67696 −0.243360
\(122\) 15.0035i 1.35835i
\(123\) 7.76596 + 4.48368i 0.700233 + 0.404280i
\(124\) −4.61030 + 7.98528i −0.414017 + 0.717099i
\(125\) −5.54074 + 9.71083i −0.495579 + 0.868563i
\(126\) 2.51805 0.224325
\(127\) 13.6465 + 7.87880i 1.21093 + 0.699131i 0.962962 0.269637i \(-0.0869038\pi\)
0.247968 + 0.968768i \(0.420237\pi\)
\(128\) 0.866025 0.500000i 0.0765466 0.0441942i
\(129\) 3.37689 5.84894i 0.297318 0.514971i
\(130\) 1.79055 10.2566i 0.157042 0.899562i
\(131\) 3.28357 + 5.68732i 0.286887 + 0.496903i 0.973065 0.230531i \(-0.0740462\pi\)
−0.686178 + 0.727434i \(0.740713\pi\)
\(132\) 2.88497i 0.251104i
\(133\) −3.62581 10.3597i −0.314397 0.898303i
\(134\) 10.6591 0.920808
\(135\) −2.20275 0.384547i −0.189583 0.0330965i
\(136\) −3.64399 6.31158i −0.312470 0.541213i
\(137\) 12.5023 + 7.21818i 1.06814 + 0.616691i 0.927673 0.373394i \(-0.121806\pi\)
0.140467 + 0.990085i \(0.455139\pi\)
\(138\) −1.48237 + 0.855848i −0.126188 + 0.0728547i
\(139\) −3.09728 + 5.36464i −0.262708 + 0.455023i −0.966960 0.254926i \(-0.917949\pi\)
0.704253 + 0.709949i \(0.251282\pi\)
\(140\) −3.61190 + 4.31937i −0.305261 + 0.365054i
\(141\) −4.59667 −0.387109
\(142\) 9.31912 + 5.38040i 0.782043 + 0.451513i
\(143\) −11.6335 6.71658i −0.972838 0.561668i
\(144\) −1.00000 −0.0833333
\(145\) −7.58051 6.33888i −0.629527 0.526416i
\(146\) −7.08348 + 12.2689i −0.586233 + 1.01539i
\(147\) 0.571097 0.329723i 0.0471033 0.0271951i
\(148\) −2.82740 1.63240i −0.232411 0.134183i
\(149\) −5.99475 10.3832i −0.491109 0.850626i 0.508838 0.860862i \(-0.330075\pi\)
−0.999948 + 0.0102357i \(0.996742\pi\)
\(150\) 3.81928 3.22694i 0.311843 0.263478i
\(151\) −5.51534 −0.448832 −0.224416 0.974493i \(-0.572047\pi\)
−0.224416 + 0.974493i \(0.572047\pi\)
\(152\) 1.43993 + 4.11420i 0.116794 + 0.333705i
\(153\) 7.28798i 0.589198i
\(154\) 3.63224 + 6.29123i 0.292694 + 0.506961i
\(155\) −3.54576 + 20.3107i −0.284802 + 1.63140i
\(156\) −2.32813 + 4.03244i −0.186399 + 0.322853i
\(157\) −10.6341 + 6.13962i −0.848696 + 0.489995i −0.860211 0.509939i \(-0.829668\pi\)
0.0115149 + 0.999934i \(0.496335\pi\)
\(158\) −7.13601 4.11998i −0.567710 0.327768i
\(159\) 10.8324 0.859065
\(160\) 1.43440 1.71537i 0.113400 0.135612i
\(161\) 2.15507 3.73268i 0.169843 0.294177i
\(162\) 0.866025 + 0.500000i 0.0680414 + 0.0392837i
\(163\) 3.45801i 0.270852i 0.990787 + 0.135426i \(0.0432403\pi\)
−0.990787 + 0.135426i \(0.956760\pi\)
\(164\) 8.96736 0.700233
\(165\) −2.21666 6.05819i −0.172567 0.471629i
\(166\) 3.57262 + 6.18795i 0.277289 + 0.480278i
\(167\) −5.37144 3.10120i −0.415654 0.239978i 0.277562 0.960708i \(-0.410474\pi\)
−0.693216 + 0.720730i \(0.743807\pi\)
\(168\) 2.18069 1.25902i 0.168244 0.0971357i
\(169\) 4.34036 + 7.51773i 0.333874 + 0.578287i
\(170\) −12.5016 10.4539i −0.958826 0.801779i
\(171\) 0.810083 4.28296i 0.0619486 0.327526i
\(172\) 6.75378i 0.514971i
\(173\) 12.4712 7.20026i 0.948169 0.547425i 0.0556571 0.998450i \(-0.482275\pi\)
0.892512 + 0.451025i \(0.148941\pi\)
\(174\) 2.20959 + 3.82712i 0.167508 + 0.290133i
\(175\) −4.26588 + 11.8455i −0.322471 + 0.895436i
\(176\) −1.44248 2.49846i −0.108731 0.188328i
\(177\) 8.19734 + 4.73274i 0.616150 + 0.355734i
\(178\) 4.74222i 0.355444i
\(179\) −1.94176 −0.145134 −0.0725670 0.997364i \(-0.523119\pi\)
−0.0725670 + 0.997364i \(0.523119\pi\)
\(180\) −2.09991 + 0.768349i −0.156518 + 0.0572694i
\(181\) −8.81480 + 15.2677i −0.655199 + 1.13484i 0.326645 + 0.945147i \(0.394082\pi\)
−0.981844 + 0.189691i \(0.939251\pi\)
\(182\) 11.7247i 0.869090i
\(183\) 15.0035i 1.10909i
\(184\) −0.855848 + 1.48237i −0.0630940 + 0.109282i
\(185\) −7.19156 1.25547i −0.528734 0.0923040i
\(186\) 4.61030 7.98528i 0.338044 0.585509i
\(187\) −18.2087 + 10.5128i −1.33155 + 0.768772i
\(188\) −3.98083 + 2.29833i −0.290332 + 0.167623i
\(189\) −2.51805 −0.183161
\(190\) 6.18487 + 7.53309i 0.448697 + 0.546508i
\(191\) −4.61377 −0.333840 −0.166920 0.985970i \(-0.553382\pi\)
−0.166920 + 0.985970i \(0.553382\pi\)
\(192\) −0.866025 + 0.500000i −0.0625000 + 0.0360844i
\(193\) 21.7202 12.5401i 1.56345 0.902659i 0.566547 0.824030i \(-0.308279\pi\)
0.996904 0.0786292i \(-0.0250543\pi\)
\(194\) −1.14834 + 1.98898i −0.0824458 + 0.142800i
\(195\) −1.79055 + 10.2566i −0.128224 + 0.734489i
\(196\) 0.329723 0.571097i 0.0235516 0.0407926i
\(197\) 3.62439i 0.258227i 0.991630 + 0.129113i \(0.0412131\pi\)
−0.991630 + 0.129113i \(0.958787\pi\)
\(198\) 2.88497i 0.205026i
\(199\) 0.298493 0.517005i 0.0211596 0.0366495i −0.855252 0.518213i \(-0.826598\pi\)
0.876411 + 0.481563i \(0.159931\pi\)
\(200\) 1.69412 4.70425i 0.119793 0.332641i
\(201\) −10.6591 −0.751837
\(202\) 3.36795i 0.236968i
\(203\) −9.63686 5.56384i −0.676375 0.390505i
\(204\) 3.64399 + 6.31158i 0.255130 + 0.441899i
\(205\) 18.8307 6.89006i 1.31519 0.481223i
\(206\) −5.49365 9.51527i −0.382760 0.662961i
\(207\) 1.48237 0.855848i 0.103032 0.0594856i
\(208\) 4.65626i 0.322853i
\(209\) 11.8693 4.15415i 0.821018 0.287349i
\(210\) 3.61190 4.31937i 0.249244 0.298065i
\(211\) 11.4644 + 19.8569i 0.789242 + 1.36701i 0.926432 + 0.376462i \(0.122859\pi\)
−0.137191 + 0.990545i \(0.543807\pi\)
\(212\) 9.38113 5.41620i 0.644299 0.371986i
\(213\) −9.31912 5.38040i −0.638536 0.368659i
\(214\) −1.67887 2.90789i −0.114765 0.198779i
\(215\) −5.18926 14.1824i −0.353905 0.967228i
\(216\) 1.00000 0.0680414
\(217\) 23.2179i 1.57613i
\(218\) −3.66583 2.11647i −0.248281 0.143345i
\(219\) 7.08348 12.2689i 0.478657 0.829059i
\(220\) −4.94878 4.13821i −0.333647 0.278998i
\(221\) 33.9347 2.28270
\(222\) 2.82740 + 1.63240i 0.189763 + 0.109560i
\(223\) 9.74016 5.62349i 0.652250 0.376576i −0.137068 0.990562i \(-0.543768\pi\)
0.789318 + 0.613985i \(0.210435\pi\)
\(224\) 1.25902 2.18069i 0.0841220 0.145704i
\(225\) −3.81928 + 3.22694i −0.254619 + 0.215129i
\(226\) −9.39912 16.2798i −0.625220 1.08291i
\(227\) 8.82814i 0.585944i −0.956121 0.292972i \(-0.905356\pi\)
0.956121 0.292972i \(-0.0946443\pi\)
\(228\) −1.43993 4.11420i −0.0953616 0.272469i
\(229\) 22.2817 1.47241 0.736207 0.676756i \(-0.236615\pi\)
0.736207 + 0.676756i \(0.236615\pi\)
\(230\) −0.658228 + 3.77045i −0.0434023 + 0.248616i
\(231\) −3.63224 6.29123i −0.238984 0.413932i
\(232\) 3.82712 + 2.20959i 0.251263 + 0.145066i
\(233\) −5.35318 + 3.09066i −0.350699 + 0.202476i −0.664993 0.746850i \(-0.731565\pi\)
0.314294 + 0.949326i \(0.398232\pi\)
\(234\) 2.32813 4.03244i 0.152195 0.263609i
\(235\) −6.59348 + 7.88497i −0.430111 + 0.514359i
\(236\) 9.46547 0.616150
\(237\) 7.13601 + 4.11998i 0.463533 + 0.267621i
\(238\) −15.8928 9.17574i −1.03018 0.594775i
\(239\) −18.1898 −1.17660 −0.588299 0.808644i \(-0.700202\pi\)
−0.588299 + 0.808644i \(0.700202\pi\)
\(240\) −1.43440 + 1.71537i −0.0925904 + 0.110726i
\(241\) −1.24768 + 2.16104i −0.0803699 + 0.139205i −0.903409 0.428780i \(-0.858943\pi\)
0.823039 + 0.567985i \(0.192277\pi\)
\(242\) 2.31831 1.33848i 0.149027 0.0860407i
\(243\) −0.866025 0.500000i −0.0555556 0.0320750i
\(244\) −7.50173 12.9934i −0.480249 0.831815i
\(245\) 0.253588 1.45260i 0.0162011 0.0928030i
\(246\) −8.96736 −0.571738
\(247\) −19.9426 3.77195i −1.26892 0.240004i
\(248\) 9.22060i 0.585509i
\(249\) −3.57262 6.18795i −0.226405 0.392146i
\(250\) −0.0569884 11.1802i −0.00360426 0.707098i
\(251\) 10.6317 18.4147i 0.671069 1.16232i −0.306533 0.951860i \(-0.599169\pi\)
0.977601 0.210465i \(-0.0674977\pi\)
\(252\) −2.18069 + 1.25902i −0.137371 + 0.0793110i
\(253\) 4.27660 + 2.46910i 0.268867 + 0.155231i
\(254\) −15.7576 −0.988720
\(255\) 12.5016 + 10.4539i 0.782878 + 0.654649i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −5.03779 2.90857i −0.314249 0.181432i 0.334577 0.942368i \(-0.391406\pi\)
−0.648826 + 0.760937i \(0.724740\pi\)
\(258\) 6.75378i 0.420472i
\(259\) −8.22092 −0.510823
\(260\) 3.57763 + 9.77774i 0.221875 + 0.606390i
\(261\) −2.20959 3.82712i −0.136770 0.236893i
\(262\) −5.68732 3.28357i −0.351364 0.202860i
\(263\) 14.9606 8.63749i 0.922508 0.532610i 0.0380737 0.999275i \(-0.487878\pi\)
0.884434 + 0.466665i \(0.154544\pi\)
\(264\) 1.44248 + 2.49846i 0.0887788 + 0.153769i
\(265\) 15.5380 18.5815i 0.954494 1.14145i
\(266\) 8.31991 + 7.15889i 0.510126 + 0.438940i
\(267\) 4.74222i 0.290219i
\(268\) −9.23107 + 5.32956i −0.563878 + 0.325555i
\(269\) −4.82743 8.36136i −0.294334 0.509801i 0.680496 0.732752i \(-0.261764\pi\)
−0.974830 + 0.222951i \(0.928431\pi\)
\(270\) 2.09991 0.768349i 0.127797 0.0467602i
\(271\) −3.21818 5.57406i −0.195491 0.338600i 0.751571 0.659653i \(-0.229297\pi\)
−0.947061 + 0.321053i \(0.895963\pi\)
\(272\) 6.31158 + 3.64399i 0.382696 + 0.220949i
\(273\) 11.7247i 0.709609i
\(274\) −14.4364 −0.872133
\(275\) −13.5716 4.88750i −0.818399 0.294727i
\(276\) 0.855848 1.48237i 0.0515160 0.0892284i
\(277\) 11.1309i 0.668791i 0.942433 + 0.334396i \(0.108532\pi\)
−0.942433 + 0.334396i \(0.891468\pi\)
\(278\) 6.19455i 0.371525i
\(279\) −4.61030 + 7.98528i −0.276012 + 0.478066i
\(280\) 0.968307 5.54663i 0.0578674 0.331475i
\(281\) −2.84358 + 4.92523i −0.169634 + 0.293815i −0.938291 0.345846i \(-0.887592\pi\)
0.768657 + 0.639661i \(0.220925\pi\)
\(282\) 3.98083 2.29833i 0.237055 0.136864i
\(283\) −6.24466 + 3.60536i −0.371207 + 0.214316i −0.673985 0.738745i \(-0.735419\pi\)
0.302779 + 0.953061i \(0.402086\pi\)
\(284\) −10.7608 −0.638536
\(285\) −6.18487 7.53309i −0.366360 0.446222i
\(286\) 13.4332 0.794319
\(287\) 19.5550 11.2901i 1.15430 0.666434i
\(288\) 0.866025 0.500000i 0.0510310 0.0294628i
\(289\) 18.0573 31.2762i 1.06220 1.83978i
\(290\) 9.73435 + 1.69938i 0.571621 + 0.0997910i
\(291\) 1.14834 1.98898i 0.0673167 0.116596i
\(292\) 14.1670i 0.829059i
\(293\) 9.26719i 0.541395i −0.962664 0.270697i \(-0.912746\pi\)
0.962664 0.270697i \(-0.0872543\pi\)
\(294\) −0.329723 + 0.571097i −0.0192298 + 0.0333070i
\(295\) 19.8767 7.27279i 1.15727 0.423438i
\(296\) 3.26480 0.189763
\(297\) 2.88497i 0.167403i
\(298\) 10.3832 + 5.99475i 0.601484 + 0.347267i
\(299\) −3.98505 6.90231i −0.230461 0.399171i
\(300\) −1.69412 + 4.70425i −0.0978103 + 0.271600i
\(301\) −8.50316 14.7279i −0.490114 0.848902i
\(302\) 4.77643 2.75767i 0.274852 0.158686i
\(303\) 3.36795i 0.193484i
\(304\) −3.30411 2.84303i −0.189504 0.163059i
\(305\) −25.7364 21.5210i −1.47366 1.23229i
\(306\) −3.64399 6.31158i −0.208313 0.360809i
\(307\) −8.89602 + 5.13612i −0.507722 + 0.293134i −0.731897 0.681415i \(-0.761365\pi\)
0.224175 + 0.974549i \(0.428031\pi\)
\(308\) −6.29123 3.63224i −0.358476 0.206966i
\(309\) 5.49365 + 9.51527i 0.312523 + 0.541305i
\(310\) −7.08464 19.3625i −0.402381 1.09971i
\(311\) −11.4317 −0.648232 −0.324116 0.946017i \(-0.605067\pi\)
−0.324116 + 0.946017i \(0.605067\pi\)
\(312\) 4.65626i 0.263609i
\(313\) −3.42825 1.97930i −0.193776 0.111877i 0.399973 0.916527i \(-0.369019\pi\)
−0.593749 + 0.804650i \(0.702353\pi\)
\(314\) 6.13962 10.6341i 0.346479 0.600118i
\(315\) −3.61190 + 4.31937i −0.203507 + 0.243369i
\(316\) 8.23995 0.463533
\(317\) 19.0052 + 10.9727i 1.06744 + 0.616286i 0.927480 0.373872i \(-0.121970\pi\)
0.139958 + 0.990157i \(0.455303\pi\)
\(318\) −9.38113 + 5.41620i −0.526068 + 0.303725i
\(319\) 6.37459 11.0411i 0.356908 0.618184i
\(320\) −0.384547 + 2.20275i −0.0214968 + 0.123138i
\(321\) 1.67887 + 2.90789i 0.0937055 + 0.162303i
\(322\) 4.31013i 0.240194i
\(323\) −20.7200 + 24.0803i −1.15289 + 1.33986i
\(324\) −1.00000 −0.0555556
\(325\) 15.0254 + 17.7835i 0.833461 + 0.986453i
\(326\) −1.72900 2.99472i −0.0957606 0.165862i
\(327\) 3.66583 + 2.11647i 0.202721 + 0.117041i
\(328\) −7.76596 + 4.48368i −0.428803 + 0.247570i
\(329\) −5.78731 + 10.0239i −0.319065 + 0.552636i
\(330\) 4.94878 + 4.13821i 0.272421 + 0.227801i
\(331\) 7.44789 0.409373 0.204687 0.978828i \(-0.434382\pi\)
0.204687 + 0.978828i \(0.434382\pi\)
\(332\) −6.18795 3.57262i −0.339608 0.196073i
\(333\) −2.82740 1.63240i −0.154941 0.0894551i
\(334\) 6.20240 0.339380
\(335\) −15.2895 + 18.2843i −0.835354 + 0.998979i
\(336\) −1.25902 + 2.18069i −0.0686853 + 0.118966i
\(337\) 4.04725 2.33668i 0.220468 0.127287i −0.385699 0.922625i \(-0.626040\pi\)
0.606167 + 0.795338i \(0.292706\pi\)
\(338\) −7.51773 4.34036i −0.408911 0.236085i
\(339\) 9.39912 + 16.2798i 0.510490 + 0.884195i
\(340\) 16.0536 + 2.80257i 0.870630 + 0.151991i
\(341\) −26.6011 −1.44053
\(342\) 1.43993 + 4.11420i 0.0778624 + 0.222470i
\(343\) 19.2868i 1.04139i
\(344\) 3.37689 + 5.84894i 0.182070 + 0.315354i
\(345\) 0.658228 3.77045i 0.0354378 0.202994i
\(346\) −7.20026 + 12.4712i −0.387088 + 0.670456i
\(347\) 11.8564 6.84531i 0.636486 0.367475i −0.146774 0.989170i \(-0.546889\pi\)
0.783260 + 0.621695i \(0.213556\pi\)
\(348\) −3.82712 2.20959i −0.205155 0.118446i
\(349\) 34.7901 1.86227 0.931137 0.364671i \(-0.118818\pi\)
0.931137 + 0.364671i \(0.118818\pi\)
\(350\) −2.22839 12.3915i −0.119113 0.662351i
\(351\) −2.32813 + 4.03244i −0.124266 + 0.215236i
\(352\) 2.49846 + 1.44248i 0.133168 + 0.0768847i
\(353\) 3.05876i 0.162802i 0.996681 + 0.0814008i \(0.0259394\pi\)
−0.996681 + 0.0814008i \(0.974061\pi\)
\(354\) −9.46547 −0.503084
\(355\) −22.5967 + 8.26805i −1.19931 + 0.438823i
\(356\) −2.37111 4.10688i −0.125668 0.217664i
\(357\) 15.8928 + 9.17574i 0.841138 + 0.485631i
\(358\) 1.68161 0.970880i 0.0888760 0.0513126i
\(359\) 8.49408 + 14.7122i 0.448300 + 0.776479i 0.998276 0.0587020i \(-0.0186962\pi\)
−0.549975 + 0.835181i \(0.685363\pi\)
\(360\) 1.43440 1.71537i 0.0755997 0.0904078i
\(361\) 14.8532 11.8483i 0.781748 0.623595i
\(362\) 17.6296i 0.926592i
\(363\) −2.31831 + 1.33848i −0.121680 + 0.0702519i
\(364\) 5.86233 + 10.1539i 0.307270 + 0.532207i
\(365\) −10.8852 29.7494i −0.569756 1.55715i
\(366\) 7.50173 + 12.9934i 0.392121 + 0.679174i
\(367\) 4.66821 + 2.69519i 0.243679 + 0.140688i 0.616866 0.787068i \(-0.288402\pi\)
−0.373188 + 0.927756i \(0.621735\pi\)
\(368\) 1.71170i 0.0892284i
\(369\) 8.96736 0.466822
\(370\) 6.85581 2.50851i 0.356416 0.130411i
\(371\) 13.6382 23.6221i 0.708062 1.22640i
\(372\) 9.22060i 0.478066i
\(373\) 3.85586i 0.199649i −0.995005 0.0998244i \(-0.968172\pi\)
0.995005 0.0998244i \(-0.0318281\pi\)
\(374\) 10.5128 18.2087i 0.543604 0.941550i
\(375\) 0.0569884 + 11.1802i 0.00294287 + 0.577343i
\(376\) 2.29833 3.98083i 0.118527 0.205296i
\(377\) −17.8200 + 10.2884i −0.917779 + 0.529880i
\(378\) 2.18069 1.25902i 0.112163 0.0647571i
\(379\) −13.6566 −0.701495 −0.350747 0.936470i \(-0.614072\pi\)
−0.350747 + 0.936470i \(0.614072\pi\)
\(380\) −9.12280 3.43141i −0.467990 0.176028i
\(381\) 15.7576 0.807287
\(382\) 3.99564 2.30688i 0.204435 0.118030i
\(383\) −6.30771 + 3.64176i −0.322309 + 0.186085i −0.652421 0.757857i \(-0.726247\pi\)
0.330112 + 0.943942i \(0.392913\pi\)
\(384\) 0.500000 0.866025i 0.0255155 0.0441942i
\(385\) −16.0019 2.79354i −0.815531 0.142372i
\(386\) −12.5401 + 21.7202i −0.638276 + 1.10553i
\(387\) 6.75378i 0.343314i
\(388\) 2.29667i 0.116596i
\(389\) −9.81327 + 16.9971i −0.497553 + 0.861786i −0.999996 0.00282365i \(-0.999101\pi\)
0.502443 + 0.864610i \(0.332435\pi\)
\(390\) −3.57763 9.77774i −0.181160 0.495115i
\(391\) −12.4748 −0.630879
\(392\) 0.659446i 0.0333070i
\(393\) 5.68732 + 3.28357i 0.286887 + 0.165634i
\(394\) −1.81219 3.13881i −0.0912969 0.158131i
\(395\) 17.3032 6.33116i 0.870618 0.318555i
\(396\) −1.44248 2.49846i −0.0724876 0.125552i
\(397\) −10.0280 + 5.78964i −0.503288 + 0.290574i −0.730071 0.683372i \(-0.760513\pi\)
0.226782 + 0.973946i \(0.427179\pi\)
\(398\) 0.596986i 0.0299242i
\(399\) −8.31991 7.15889i −0.416516 0.358393i
\(400\) 0.884968 + 4.92106i 0.0442484 + 0.246053i
\(401\) 0.738065 + 1.27837i 0.0368572 + 0.0638386i 0.883866 0.467741i \(-0.154932\pi\)
−0.847008 + 0.531580i \(0.821599\pi\)
\(402\) 9.23107 5.32956i 0.460404 0.265814i
\(403\) 37.1815 + 21.4667i 1.85214 + 1.06933i
\(404\) −1.68398 2.91673i −0.0837810 0.145113i
\(405\) −2.09991 + 0.768349i −0.104346 + 0.0381796i
\(406\) 11.1277 0.552258
\(407\) 9.41885i 0.466875i
\(408\) −6.31158 3.64399i −0.312470 0.180404i
\(409\) 0.325761 0.564235i 0.0161078 0.0278996i −0.857859 0.513885i \(-0.828206\pi\)
0.873967 + 0.485985i \(0.161539\pi\)
\(410\) −12.8628 + 15.3823i −0.635249 + 0.759678i
\(411\) 14.4364 0.712093
\(412\) 9.51527 + 5.49365i 0.468784 + 0.270653i
\(413\) 20.6413 11.9172i 1.01569 0.586409i
\(414\) −0.855848 + 1.48237i −0.0420627 + 0.0728547i
\(415\) −15.7392 2.74768i −0.772606 0.134878i
\(416\) −2.32813 4.03244i −0.114146 0.197706i
\(417\) 6.19455i 0.303349i
\(418\) −8.20206 + 9.53226i −0.401176 + 0.466238i
\(419\) −25.9557 −1.26802 −0.634010 0.773325i \(-0.718592\pi\)
−0.634010 + 0.773325i \(0.718592\pi\)
\(420\) −0.968307 + 5.54663i −0.0472485 + 0.270648i
\(421\) 14.9470 + 25.8890i 0.728473 + 1.26175i 0.957528 + 0.288339i \(0.0931032\pi\)
−0.229055 + 0.973414i \(0.573564\pi\)
\(422\) −19.8569 11.4644i −0.966620 0.558078i
\(423\) −3.98083 + 2.29833i −0.193555 + 0.111749i
\(424\) −5.41620 + 9.38113i −0.263034 + 0.455588i
\(425\) 35.8646 6.44963i 1.73969 0.312853i
\(426\) 10.7608 0.521362
\(427\) −32.7179 18.8897i −1.58333 0.914136i
\(428\) 2.90789 + 1.67887i 0.140558 + 0.0811514i
\(429\) −13.4332 −0.648559
\(430\) 11.5852 + 9.68765i 0.558688 + 0.467180i
\(431\) −13.7123 + 23.7503i −0.660496 + 1.14401i 0.319989 + 0.947421i \(0.396321\pi\)
−0.980485 + 0.196592i \(0.937013\pi\)
\(432\) −0.866025 + 0.500000i −0.0416667 + 0.0240563i
\(433\) −9.75555 5.63237i −0.468822 0.270674i 0.246925 0.969035i \(-0.420580\pi\)
−0.715746 + 0.698360i \(0.753913\pi\)
\(434\) −11.6089 20.1073i −0.557247 0.965181i
\(435\) −9.73435 1.69938i −0.466726 0.0814790i
\(436\) 4.23293 0.202721
\(437\) 7.33113 + 1.38662i 0.350696 + 0.0663308i
\(438\) 14.1670i 0.676924i
\(439\) −7.89796 13.6797i −0.376949 0.652895i 0.613668 0.789564i \(-0.289693\pi\)
−0.990617 + 0.136670i \(0.956360\pi\)
\(440\) 6.35487 + 1.10941i 0.302957 + 0.0528889i
\(441\) 0.329723 0.571097i 0.0157011 0.0271951i
\(442\) −29.3883 + 16.9674i −1.39786 + 0.807055i
\(443\) −6.09413 3.51845i −0.289541 0.167167i 0.348194 0.937423i \(-0.386795\pi\)
−0.637735 + 0.770256i \(0.720128\pi\)
\(444\) −3.26480 −0.154941
\(445\) −8.13464 6.80226i −0.385619 0.322458i
\(446\) −5.62349 + 9.74016i −0.266280 + 0.461210i
\(447\) −10.3832 5.99475i −0.491109 0.283542i
\(448\) 2.51805i 0.118966i
\(449\) −16.3890 −0.773444 −0.386722 0.922196i \(-0.626393\pi\)
−0.386722 + 0.922196i \(0.626393\pi\)
\(450\) 1.69412 4.70425i 0.0798618 0.221760i
\(451\) 12.9353 + 22.4046i 0.609098 + 1.05499i
\(452\) 16.2798 + 9.39912i 0.765735 + 0.442097i
\(453\) −4.77643 + 2.75767i −0.224416 + 0.129567i
\(454\) 4.41407 + 7.64539i 0.207163 + 0.358816i
\(455\) 20.1121 + 16.8179i 0.942870 + 0.788436i
\(456\) 3.30411 + 2.84303i 0.154729 + 0.133137i
\(457\) 11.5975i 0.542508i 0.962508 + 0.271254i \(0.0874383\pi\)
−0.962508 + 0.271254i \(0.912562\pi\)
\(458\) −19.2965 + 11.1408i −0.901666 + 0.520577i
\(459\) 3.64399 + 6.31158i 0.170087 + 0.294599i
\(460\) −1.31518 3.59442i −0.0613206 0.167591i
\(461\) 2.39232 + 4.14363i 0.111422 + 0.192988i 0.916344 0.400393i \(-0.131126\pi\)
−0.804922 + 0.593381i \(0.797793\pi\)
\(462\) 6.29123 + 3.63224i 0.292694 + 0.168987i
\(463\) 12.1559i 0.564934i 0.959277 + 0.282467i \(0.0911527\pi\)
−0.959277 + 0.282467i \(0.908847\pi\)
\(464\) −4.41917 −0.205155
\(465\) 7.08464 + 19.3625i 0.328542 + 0.897913i
\(466\) 3.09066 5.35318i 0.143172 0.247981i
\(467\) 1.60463i 0.0742533i 0.999311 + 0.0371266i \(0.0118205\pi\)
−0.999311 + 0.0371266i \(0.988180\pi\)
\(468\) 4.65626i 0.215236i
\(469\) −13.4201 + 23.2443i −0.619682 + 1.07332i
\(470\) 1.76763 10.1253i 0.0815349 0.467046i
\(471\) −6.13962 + 10.6341i −0.282899 + 0.489995i
\(472\) −8.19734 + 4.73274i −0.377313 + 0.217842i
\(473\) 16.8740 9.74222i 0.775868 0.447948i
\(474\) −8.23995 −0.378473
\(475\) −21.7936 0.196179i −0.999959 0.00900132i
\(476\) 18.3515 0.841138
\(477\) 9.38113 5.41620i 0.429532 0.247991i
\(478\) 15.7528 9.09488i 0.720516 0.415990i
\(479\) −17.2940 + 29.9541i −0.790184 + 1.36864i 0.135669 + 0.990754i \(0.456682\pi\)
−0.925853 + 0.377884i \(0.876652\pi\)
\(480\) 0.384547 2.20275i 0.0175521 0.100541i
\(481\) −7.60088 + 13.1651i −0.346570 + 0.600277i
\(482\) 2.49535i 0.113660i
\(483\) 4.31013i 0.196118i
\(484\) −1.33848 + 2.31831i −0.0608399 + 0.105378i
\(485\) −1.76465 4.82282i −0.0801286 0.218993i
\(486\) 1.00000 0.0453609
\(487\) 24.3737i 1.10448i −0.833687 0.552238i \(-0.813774\pi\)
0.833687 0.552238i \(-0.186226\pi\)
\(488\) 12.9934 + 7.50173i 0.588182 + 0.339587i
\(489\) 1.72900 + 2.99472i 0.0781882 + 0.135426i
\(490\) 0.506685 + 1.38478i 0.0228897 + 0.0625579i
\(491\) 5.45453 + 9.44752i 0.246159 + 0.426360i 0.962457 0.271434i \(-0.0874980\pi\)
−0.716298 + 0.697795i \(0.754165\pi\)
\(492\) 7.76596 4.48368i 0.350117 0.202140i
\(493\) 32.2069i 1.45052i
\(494\) 19.1568 6.70468i 0.861903 0.301658i
\(495\) −4.94878 4.13821i −0.222431 0.185999i
\(496\) 4.61030 + 7.98528i 0.207009 + 0.358549i
\(497\) −23.4660 + 13.5481i −1.05259 + 0.607715i
\(498\) 6.18795 + 3.57262i 0.277289 + 0.160093i
\(499\) −5.54788 9.60920i −0.248357 0.430167i 0.714713 0.699418i \(-0.246557\pi\)
−0.963070 + 0.269251i \(0.913224\pi\)
\(500\) 5.63945 + 9.65384i 0.252204 + 0.431733i
\(501\) −6.20240 −0.277103
\(502\) 21.2635i 0.949034i
\(503\) 17.0870 + 9.86519i 0.761872 + 0.439867i 0.829967 0.557812i \(-0.188359\pi\)
−0.0680955 + 0.997679i \(0.521692\pi\)
\(504\) 1.25902 2.18069i 0.0560813 0.0971357i
\(505\) −5.77728 4.83101i −0.257085 0.214977i
\(506\) −4.93819 −0.219529
\(507\) 7.51773 + 4.34036i 0.333874 + 0.192762i
\(508\) 13.6465 7.87880i 0.605465 0.349565i
\(509\) −16.6873 + 28.9033i −0.739653 + 1.28112i 0.212999 + 0.977052i \(0.431677\pi\)
−0.952652 + 0.304064i \(0.901656\pi\)
\(510\) −16.0536 2.80257i −0.710867 0.124100i
\(511\) −17.8365 30.8938i −0.789042 1.36666i
\(512\) 1.00000i 0.0441942i
\(513\) −1.43993 4.11420i −0.0635744 0.181646i
\(514\) 5.81714 0.256583
\(515\) 24.2023 + 4.22513i 1.06648 + 0.186181i
\(516\) −3.37689 5.84894i −0.148659 0.257485i
\(517\) −11.4846 6.63062i −0.505091 0.291614i
\(518\) 7.11953 4.11046i 0.312814 0.180603i
\(519\) 7.20026 12.4712i 0.316056 0.547425i
\(520\) −7.98719 6.67896i −0.350261 0.292892i
\(521\) −32.4955 −1.42366 −0.711828 0.702354i \(-0.752132\pi\)
−0.711828 + 0.702354i \(0.752132\pi\)
\(522\) 3.82712 + 2.20959i 0.167508 + 0.0967110i
\(523\) −8.12396 4.69037i −0.355236 0.205096i 0.311753 0.950163i \(-0.399084\pi\)
−0.666989 + 0.745068i \(0.732417\pi\)
\(524\) 6.56715 0.286887
\(525\) 2.22839 + 12.3915i 0.0972550 + 0.540807i
\(526\) −8.63749 + 14.9606i −0.376612 + 0.652312i
\(527\) 58.1966 33.5998i 2.53508 1.46363i
\(528\) −2.49846 1.44248i −0.108731 0.0627761i
\(529\) −10.0350 17.3812i −0.436306 0.755705i
\(530\) −4.16557 + 23.8611i −0.180941 + 1.03646i
\(531\) 9.46547 0.410767
\(532\) −10.7847 2.03983i −0.467576 0.0884376i
\(533\) 41.7543i 1.80858i
\(534\) 2.37111 + 4.10688i 0.102608 + 0.177722i
\(535\) 7.39629 + 1.29121i 0.319769 + 0.0558239i
\(536\) 5.32956 9.23107i 0.230202 0.398722i
\(537\) −1.68161 + 0.970880i −0.0725670 + 0.0418966i
\(538\) 8.36136 + 4.82743i 0.360484 + 0.208125i
\(539\) 1.90248 0.0819456
\(540\) −1.43440 + 1.71537i −0.0617269 + 0.0738176i
\(541\) 18.8739 32.6906i 0.811453 1.40548i −0.100394 0.994948i \(-0.532010\pi\)
0.911847 0.410530i \(-0.134656\pi\)
\(542\) 5.57406 + 3.21818i 0.239426 + 0.138233i
\(543\) 17.6296i 0.756559i
\(544\) −7.28798 −0.312470
\(545\) 8.88879 3.25237i 0.380754 0.139316i
\(546\) −5.86233 10.1539i −0.250885 0.434545i
\(547\) 5.07734 + 2.93141i 0.217092 + 0.125338i 0.604603 0.796527i \(-0.293332\pi\)
−0.387511 + 0.921865i \(0.626665\pi\)
\(548\) 12.5023 7.21818i 0.534070 0.308345i
\(549\) −7.50173 12.9934i −0.320166 0.554544i
\(550\) 14.1971 2.55311i 0.605366 0.108865i
\(551\) 3.57990 18.9272i 0.152509 0.806324i
\(552\) 1.71170i 0.0728547i
\(553\) 17.9688 10.3743i 0.764111 0.441160i
\(554\) −5.56545 9.63965i −0.236453 0.409549i
\(555\) −6.85581 + 2.50851i −0.291013 + 0.106480i
\(556\) 3.09728 + 5.36464i 0.131354 + 0.227511i
\(557\) −18.3570 10.5984i −0.777809 0.449068i 0.0578442 0.998326i \(-0.481577\pi\)
−0.835653 + 0.549257i \(0.814911\pi\)
\(558\) 9.22060i 0.390339i
\(559\) −31.4473 −1.33008
\(560\) 1.93474 + 5.28768i 0.0817576 + 0.223445i
\(561\) −10.5128 + 18.2087i −0.443851 + 0.768772i
\(562\) 5.68717i 0.239899i
\(563\) 26.4882i 1.11634i −0.829725 0.558172i \(-0.811503\pi\)
0.829725 0.558172i \(-0.188497\pi\)
\(564\) −2.29833 + 3.98083i −0.0967773 + 0.167623i
\(565\) 41.4079 + 7.22881i 1.74204 + 0.304118i
\(566\) 3.60536 6.24466i 0.151544 0.262483i
\(567\) −2.18069 + 1.25902i −0.0915804 + 0.0528740i
\(568\) 9.31912 5.38040i 0.391022 0.225757i
\(569\) −21.8861 −0.917514 −0.458757 0.888562i \(-0.651705\pi\)
−0.458757 + 0.888562i \(0.651705\pi\)
\(570\) 9.12280 + 3.43141i 0.382112 + 0.143726i
\(571\) −14.0325 −0.587242 −0.293621 0.955922i \(-0.594860\pi\)
−0.293621 + 0.955922i \(0.594860\pi\)
\(572\) −11.6335 + 6.71658i −0.486419 + 0.280834i
\(573\) −3.99564 + 2.30688i −0.166920 + 0.0963714i
\(574\) −11.2901 + 19.5550i −0.471240 + 0.816212i
\(575\) −5.52353 6.53745i −0.230347 0.272630i
\(576\) −0.500000 + 0.866025i −0.0208333 + 0.0360844i
\(577\) 27.9608i 1.16402i 0.813180 + 0.582012i \(0.197734\pi\)
−0.813180 + 0.582012i \(0.802266\pi\)
\(578\) 36.1147i 1.50217i
\(579\) 12.5401 21.7202i 0.521150 0.902659i
\(580\) −9.27989 + 3.39547i −0.385326 + 0.140989i
\(581\) −17.9920 −0.746435
\(582\) 2.29667i 0.0952002i
\(583\) 27.0643 + 15.6256i 1.12089 + 0.647145i
\(584\) 7.08348 + 12.2689i 0.293117 + 0.507693i
\(585\) 3.57763 + 9.77774i 0.147917 + 0.404260i
\(586\) 4.63359 + 8.02562i 0.191412 + 0.331535i
\(587\) −9.03637 + 5.21715i −0.372971 + 0.215335i −0.674756 0.738041i \(-0.735751\pi\)
0.301785 + 0.953376i \(0.402418\pi\)
\(588\) 0.659446i 0.0271951i
\(589\) −37.9354 + 13.2770i −1.56310 + 0.547070i
\(590\) −13.5773 + 16.2368i −0.558969 + 0.668457i
\(591\) 1.81219 + 3.13881i 0.0745436 + 0.129113i
\(592\) −2.82740 + 1.63240i −0.116206 + 0.0670913i
\(593\) −4.77660 2.75777i −0.196152 0.113248i 0.398708 0.917078i \(-0.369459\pi\)
−0.594859 + 0.803830i \(0.702792\pi\)
\(594\) 1.44248 + 2.49846i 0.0591858 + 0.102513i
\(595\) 38.5365 14.1003i 1.57984 0.578058i
\(596\) −11.9895 −0.491109
\(597\) 0.596986i 0.0244330i
\(598\) 6.90231 + 3.98505i 0.282256 + 0.162961i
\(599\) 22.5946 39.1349i 0.923189 1.59901i 0.128741 0.991678i \(-0.458907\pi\)
0.794448 0.607332i \(-0.207760\pi\)
\(600\) −0.884968 4.92106i −0.0361287 0.200901i
\(601\) −10.2025 −0.416167 −0.208083 0.978111i \(-0.566723\pi\)
−0.208083 + 0.978111i \(0.566723\pi\)
\(602\) 14.7279 + 8.50316i 0.600265 + 0.346563i
\(603\) −9.23107 + 5.32956i −0.375918 + 0.217037i
\(604\) −2.75767 + 4.77643i −0.112208 + 0.194350i
\(605\) −1.02942 + 5.89668i −0.0418517 + 0.239734i
\(606\) 1.68398 + 2.91673i 0.0684069 + 0.118484i
\(607\) 6.78955i 0.275579i 0.990462 + 0.137790i \(0.0439998\pi\)
−0.990462 + 0.137790i \(0.956000\pi\)
\(608\) 4.28296 + 0.810083i 0.173697 + 0.0328532i
\(609\) −11.1277 −0.450916
\(610\) 33.0489 + 5.76953i 1.33811 + 0.233602i
\(611\) 10.7016 + 18.5358i 0.432942 + 0.749877i
\(612\) 6.31158 + 3.64399i 0.255130 + 0.147300i
\(613\) 20.8847 12.0578i 0.843524 0.487009i −0.0149366 0.999888i \(-0.504755\pi\)
0.858460 + 0.512880i \(0.171421\pi\)
\(614\) 5.13612 8.89602i 0.207277 0.359014i
\(615\) 12.8628 15.3823i 0.518679 0.620275i
\(616\) 7.26448 0.292694
\(617\) 33.6188 + 19.4098i 1.35344 + 0.781410i 0.988730 0.149711i \(-0.0478343\pi\)
0.364712 + 0.931121i \(0.381168\pi\)
\(618\) −9.51527 5.49365i −0.382760 0.220987i
\(619\) −43.0532 −1.73046 −0.865228 0.501379i \(-0.832826\pi\)
−0.865228 + 0.501379i \(0.832826\pi\)
\(620\) 15.8167 + 13.2261i 0.635215 + 0.531172i
\(621\) 0.855848 1.48237i 0.0343440 0.0594856i
\(622\) 9.90014 5.71585i 0.396959 0.229185i
\(623\) −10.3413 5.97056i −0.414316 0.239205i
\(624\) 2.32813 + 4.03244i 0.0931997 + 0.161427i
\(625\) 19.2599 + 15.9392i 0.770395 + 0.637567i
\(626\) 3.95860 0.158217
\(627\) 8.20206 9.53226i 0.327559 0.380682i
\(628\) 12.2792i 0.489995i
\(629\) 11.8969 + 20.6061i 0.474361 + 0.821617i
\(630\) 0.968307 5.54663i 0.0385783 0.220983i
\(631\) 20.9642 36.3110i 0.834571 1.44552i −0.0598078 0.998210i \(-0.519049\pi\)
0.894379 0.447310i \(-0.147618\pi\)
\(632\) −7.13601 + 4.11998i −0.283855 + 0.163884i
\(633\) 19.8569 + 11.4644i 0.789242 + 0.455669i
\(634\) −21.9453 −0.871560
\(635\) 22.6028 27.0301i 0.896964 1.07266i
\(636\) 5.41620 9.38113i 0.214766 0.371986i
\(637\) −2.65917 1.53527i −0.105360 0.0608298i
\(638\) 12.7492i 0.504745i
\(639\) −10.7608 −0.425691
\(640\) −0.768349 2.09991i −0.0303717 0.0830064i
\(641\) 0.126170 + 0.218532i 0.00498340 + 0.00863150i 0.868506 0.495678i \(-0.165080\pi\)
−0.863523 + 0.504310i \(0.831747\pi\)
\(642\) −2.90789 1.67887i −0.114765 0.0662598i
\(643\) −35.9135 + 20.7347i −1.41629 + 0.817696i −0.995971 0.0896801i \(-0.971416\pi\)
−0.420320 + 0.907376i \(0.638082\pi\)
\(644\) −2.15507 3.73268i −0.0849215 0.147088i
\(645\) −11.5852 9.68765i −0.456167 0.381451i
\(646\) 5.90387 31.2142i 0.232285 1.22810i
\(647\) 11.3601i 0.446612i 0.974748 + 0.223306i \(0.0716848\pi\)
−0.974748 + 0.223306i \(0.928315\pi\)
\(648\) 0.866025 0.500000i 0.0340207 0.0196419i
\(649\) 13.6538 + 23.6491i 0.535958 + 0.928307i
\(650\) −21.9042 7.88828i −0.859153 0.309404i
\(651\) 11.6089 + 20.1073i 0.454991 + 0.788067i
\(652\) 2.99472 + 1.72900i 0.117282 + 0.0677130i
\(653\) 14.1285i 0.552889i 0.961030 + 0.276444i \(0.0891562\pi\)
−0.961030 + 0.276444i \(0.910844\pi\)
\(654\) −4.23293 −0.165521
\(655\) 13.7904 5.04586i 0.538837 0.197158i
\(656\) 4.48368 7.76596i 0.175058 0.303210i
\(657\) 14.1670i 0.552706i
\(658\) 11.5746i 0.451225i
\(659\) −14.6536 + 25.3808i −0.570823 + 0.988695i 0.425658 + 0.904884i \(0.360043\pi\)
−0.996482 + 0.0838112i \(0.973291\pi\)
\(660\) −6.35487 1.10941i −0.247363 0.0431836i
\(661\) 0.0305882 0.0529803i 0.00118974 0.00206070i −0.865430 0.501030i \(-0.832955\pi\)
0.866620 + 0.498969i \(0.166288\pi\)
\(662\) −6.45007 + 3.72395i −0.250689 + 0.144735i
\(663\) 29.3883 16.9674i 1.14135 0.658958i
\(664\) 7.14523 0.277289
\(665\) −24.2142 + 4.00295i −0.938988 + 0.155228i
\(666\) 3.26480 0.126509
\(667\) 6.55086 3.78214i 0.253650 0.146445i
\(668\) −5.37144 + 3.10120i −0.207827 + 0.119989i
\(669\) 5.62349 9.74016i 0.217417 0.376576i
\(670\) 4.09894 23.4794i 0.158356 0.907089i
\(671\) 21.6422 37.4855i 0.835489 1.44711i
\(672\) 2.51805i 0.0971357i
\(673\) 29.7678i 1.14747i −0.819042 0.573733i \(-0.805495\pi\)
0.819042 0.573733i \(-0.194505\pi\)
\(674\) −2.33668 + 4.04725i −0.0900055 + 0.155894i
\(675\) −1.69412 + 4.70425i −0.0652069 + 0.181067i
\(676\) 8.68073 0.333874
\(677\) 14.3460i 0.551360i 0.961249 + 0.275680i \(0.0889031\pi\)
−0.961249 + 0.275680i \(0.911097\pi\)
\(678\) −16.2798 9.39912i −0.625220 0.360971i
\(679\) −2.89157 5.00834i −0.110968 0.192202i
\(680\) −15.3041 + 5.59972i −0.586887 + 0.214739i
\(681\) −4.41407 7.64539i −0.169148 0.292972i
\(682\) 23.0373 13.3006i 0.882143 0.509305i
\(683\) 39.5539i 1.51349i 0.653712 + 0.756744i \(0.273211\pi\)
−0.653712 + 0.756744i \(0.726789\pi\)
\(684\) −3.30411 2.84303i −0.126336 0.108706i
\(685\) 20.7076 24.7637i 0.791196 0.946171i
\(686\) 9.64342 + 16.7029i 0.368187 + 0.637719i
\(687\) 19.2965 11.1408i 0.736207 0.425049i
\(688\) −5.84894 3.37689i −0.222989 0.128743i
\(689\) −25.2192 43.6810i −0.960775 1.66411i
\(690\) 1.31518 + 3.59442i 0.0500681 + 0.136837i
\(691\) −32.4212 −1.23336 −0.616681 0.787213i \(-0.711523\pi\)
−0.616681 + 0.787213i \(0.711523\pi\)
\(692\) 14.4005i 0.547425i
\(693\) −6.29123 3.63224i −0.238984 0.137977i
\(694\) −6.84531 + 11.8564i −0.259844 + 0.450064i
\(695\) 10.6259 + 8.88550i 0.403065 + 0.337046i
\(696\) 4.41917 0.167508
\(697\) −56.5982 32.6770i −2.14381 1.23773i
\(698\) −30.1291 + 17.3951i −1.14040 + 0.658413i
\(699\) −3.09066 + 5.35318i −0.116900 + 0.202476i
\(700\) 8.12557 + 9.61712i 0.307118 + 0.363493i
\(701\) 10.1662 + 17.6084i 0.383972 + 0.665059i 0.991626 0.129143i \(-0.0412226\pi\)
−0.607654 + 0.794202i \(0.707889\pi\)
\(702\) 4.65626i 0.175739i
\(703\) −4.70108 13.4320i −0.177305 0.506599i
\(704\) −2.88497 −0.108731
\(705\) −1.76763 + 10.1253i −0.0665730 + 0.381342i
\(706\) −1.52938 2.64897i −0.0575590 0.0996952i
\(707\) −7.34447 4.24033i −0.276217 0.159474i
\(708\) 8.19734 4.73274i 0.308075 0.177867i
\(709\) 20.1591 34.9165i 0.757089 1.31132i −0.187240 0.982314i \(-0.559954\pi\)
0.944329 0.329003i \(-0.106712\pi\)
\(710\) 15.4353 18.4587i 0.579278 0.692743i
\(711\) 8.23995 0.309022
\(712\) 4.10688 + 2.37111i 0.153912 + 0.0888610i
\(713\) −13.6684 7.89144i −0.511885 0.295537i
\(714\) −18.3515 −0.686787
\(715\) −19.2686 + 23.0428i −0.720604 + 0.861752i
\(716\) −0.970880 + 1.68161i −0.0362835 + 0.0628448i
\(717\) −15.7528 + 9.09488i −0.588299 + 0.339655i
\(718\) −14.7122 8.49408i −0.549054 0.316996i
\(719\) −14.5708 25.2374i −0.543401 0.941198i −0.998706 0.0508623i \(-0.983803\pi\)
0.455305 0.890336i \(-0.349530\pi\)
\(720\) −0.384547 + 2.20275i −0.0143312 + 0.0820918i
\(721\) 27.6665 1.03035
\(722\) −6.93911 + 17.6875i −0.258247 + 0.658262i
\(723\) 2.49535i 0.0928031i
\(724\) 8.81480 + 15.2677i 0.327600 + 0.567419i
\(725\) −16.8781 + 14.2604i −0.626835 + 0.529618i
\(726\) 1.33848 2.31831i 0.0496756 0.0860407i
\(727\) −15.6863 + 9.05647i −0.581771 + 0.335886i −0.761837 0.647769i \(-0.775702\pi\)
0.180066 + 0.983655i \(0.442369\pi\)
\(728\) −10.1539 5.86233i −0.376327 0.217273i
\(729\) −1.00000 −0.0370370
\(730\) 24.3015 + 20.3212i 0.899440 + 0.752120i
\(731\) −24.6107 + 42.6270i −0.910260 + 1.57662i
\(732\) −12.9934 7.50173i −0.480249 0.277272i
\(733\) 8.31171i 0.307000i −0.988149 0.153500i \(-0.950946\pi\)
0.988149 0.153500i \(-0.0490545\pi\)
\(734\) −5.39039 −0.198963
\(735\) −0.506685 1.38478i −0.0186893 0.0510784i
\(736\) 0.855848 + 1.48237i 0.0315470 + 0.0546410i
\(737\) −26.6314 15.3756i −0.980979 0.566368i
\(738\) −7.76596 + 4.48368i −0.285869 + 0.165047i
\(739\) 7.63311 + 13.2209i 0.280788 + 0.486340i 0.971579 0.236715i \(-0.0760708\pi\)
−0.690791 + 0.723055i \(0.742737\pi\)
\(740\) −4.68305 + 5.60034i −0.172152 + 0.205872i
\(741\) −19.1568 + 6.70468i −0.703741 + 0.246303i
\(742\) 27.2765i 1.00135i
\(743\) −29.0049 + 16.7460i −1.06409 + 0.614351i −0.926560 0.376147i \(-0.877249\pi\)
−0.137528 + 0.990498i \(0.543916\pi\)
\(744\) −4.61030 7.98528i −0.169022 0.292754i
\(745\) −25.1769 + 9.21213i −0.922412 + 0.337506i
\(746\) 1.92793 + 3.33927i 0.0705865 + 0.122259i
\(747\) −6.18795 3.57262i −0.226405 0.130715i
\(748\) 21.0256i 0.768772i
\(749\) 8.45496 0.308937
\(750\) −5.63945 9.65384i −0.205924 0.352508i
\(751\) −10.0737 + 17.4481i −0.367594 + 0.636691i −0.989189 0.146648i \(-0.953152\pi\)
0.621595 + 0.783339i \(0.286485\pi\)
\(752\) 4.59667i 0.167623i
\(753\) 21.2635i 0.774883i
\(754\) 10.2884 17.8200i 0.374682 0.648968i
\(755\) −2.12091 + 12.1489i −0.0771878 + 0.442145i
\(756\) −1.25902 + 2.18069i −0.0457902 + 0.0793110i
\(757\) −26.9406 + 15.5542i −0.979174 + 0.565327i −0.902021 0.431693i \(-0.857917\pi\)
−0.0771537 + 0.997019i \(0.524583\pi\)
\(758\) 11.8270 6.82832i 0.429576 0.248016i
\(759\) 4.93819 0.179245
\(760\) 9.61628 1.58971i 0.348819 0.0576647i
\(761\) 2.73496 0.0991421 0.0495710 0.998771i \(-0.484215\pi\)
0.0495710 + 0.998771i \(0.484215\pi\)
\(762\) −13.6465 + 7.87880i −0.494360 + 0.285419i
\(763\) 9.23072 5.32936i 0.334174 0.192936i
\(764\) −2.30688 + 3.99564i −0.0834601 + 0.144557i
\(765\) 16.0536 + 2.80257i 0.580420 + 0.101327i
\(766\) 3.64176 6.30771i 0.131582 0.227907i
\(767\) 44.0737i 1.59141i
\(768\) 1.00000i 0.0360844i
\(769\) 11.3522 19.6626i 0.409371 0.709052i −0.585448 0.810710i \(-0.699081\pi\)
0.994819 + 0.101658i \(0.0324147\pi\)
\(770\) 15.2548 5.58166i 0.549744 0.201149i
\(771\) −5.81714 −0.209499
\(772\) 25.0803i 0.902659i
\(773\) 11.9910 + 6.92302i 0.431287 + 0.249004i 0.699895 0.714246i \(-0.253230\pi\)
−0.268608 + 0.963250i \(0.586563\pi\)
\(774\) 3.37689 + 5.84894i 0.121380 + 0.210236i
\(775\) 43.3760 + 15.6209i 1.55811 +