Properties

Label 570.2.q.c.349.6
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 349.6
Root \(-0.627868 + 2.34324i\) of defining polynomial
Character \(\chi\) \(=\) 570.349
Dual form 570.2.q.c.49.6

$q$-expansion

\(f(q)\) \(=\) \(q+(0.866025 - 0.500000i) q^{2} +(-0.866025 + 0.500000i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-2.09991 - 0.768349i) q^{5} +(-0.500000 + 0.866025i) q^{6} +2.51805i q^{7} -1.00000i q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})\) \(q+(0.866025 - 0.500000i) q^{2} +(-0.866025 + 0.500000i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-2.09991 - 0.768349i) q^{5} +(-0.500000 + 0.866025i) q^{6} +2.51805i q^{7} -1.00000i q^{8} +(0.500000 - 0.866025i) q^{9} +(-2.20275 + 0.384547i) q^{10} +2.88497 q^{11} +1.00000i q^{12} +(4.03244 + 2.32813i) q^{13} +(1.25902 + 2.18069i) q^{14} +(2.20275 - 0.384547i) 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} +(3.81928 + 3.22694i) 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} +(1.93474 - 5.28768i) q^{35} +(-0.500000 - 0.866025i) q^{36} +3.26480i q^{37} +(2.84303 - 3.30411i) q^{38} -4.65626 q^{39} +(-0.768349 + 2.09991i) 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} +(-6.05819 - 2.21666i) q^{55} +2.51805 q^{56} +(-2.84303 + 3.30411i) q^{57} -4.41917i q^{58} +(4.73274 + 8.19734i) q^{59} +(0.768349 - 2.09991i) 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} +(-0.968307 - 5.54663i) 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} +(0.384547 + 2.20275i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(7.76596 + 4.48368i) q^{82} +7.14523i q^{83} -2.51805 q^{84} +(-16.0536 + 2.80257i) q^{85} +(-3.37689 + 5.84894i) q^{86} +4.41917i q^{87} -2.88497i q^{88} +(2.37111 - 4.10688i) q^{89} +(-0.768349 + 2.09991i) q^{90} +(-5.86233 + 10.1539i) q^{91} +(-1.48237 + 0.855848i) q^{92} +(7.98528 - 4.61030i) q^{93} +4.59667 q^{94} +(-9.74583 - 0.137412i) 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
\(5\) −2.09991 0.768349i −0.939110 0.343616i
\(6\) −0.500000 + 0.866025i −0.204124 + 0.353553i
\(7\) 2.51805i 0.951732i 0.879518 + 0.475866i \(0.157865\pi\)
−0.879518 + 0.475866i \(0.842135\pi\)
\(8\) 1.00000i 0.353553i
\(9\) 0.500000 0.866025i 0.166667 0.288675i
\(10\) −2.20275 + 0.384547i −0.696572 + 0.121604i
\(11\) 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 0.940991 0.338431i \(-0.109896\pi\)
0.177406 + 0.984138i \(0.443230\pi\)
\(14\) 1.25902 + 2.18069i 0.336488 + 0.582814i
\(15\) 2.20275 0.384547i 0.568749 0.0992896i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) 6.31158 3.64399i 1.53078 0.883798i 0.531457 0.847085i \(-0.321645\pi\)
0.999326 0.0367122i \(-0.0116885\pi\)
\(18\) 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 0.337426 0.941352i \(-0.390444\pi\)
−0.646522 + 0.762895i \(0.723777\pi\)
\(24\) 0.500000 + 0.866025i 0.102062 + 0.176777i
\(25\) 3.81928 + 3.22694i 0.763856 + 0.645387i
\(26\) 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
\(35\) 1.93474 5.28768i 0.327031 0.893781i
\(36\) −0.500000 0.866025i −0.0833333 0.144338i
\(37\) 3.26480i 0.536730i 0.963317 + 0.268365i \(0.0864834\pi\)
−0.963317 + 0.268365i \(0.913517\pi\)
\(38\) 2.84303 3.30411i 0.461201 0.535998i
\(39\) −4.65626 −0.745598
\(40\) −0.768349 + 2.09991i −0.121487 + 0.332026i
\(41\) 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 −0.874582 0.484878i \(-0.838864\pi\)
−0.0173738 + 0.999849i \(0.505531\pi\)
\(44\) 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 0.761397 0.648286i \(-0.224514\pi\)
−0.180733 + 0.983532i \(0.557847\pi\)
\(48\) 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 −0.310193 0.950673i \(-0.600394\pi\)
−0.978404 + 0.206701i \(0.933727\pi\)
\(54\) 0.500000 + 0.866025i 0.0680414 + 0.117851i
\(55\) −6.05819 2.21666i −0.816886 0.298895i
\(56\) 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 \(0.622025\pi\)
\(60\) 0.768349 2.09991i 0.0991935 0.271098i
\(61\) 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 0.943369 0.331744i \(-0.107637\pi\)
0.184386 + 0.982854i \(0.440970\pi\)
\(68\) 7.28798i 0.883798i
\(69\) 1.71170 0.206064
\(70\) −0.968307 5.54663i −0.115735 0.662950i
\(71\) −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 −0.997567 0.0697187i \(-0.977790\pi\)
−0.438405 + 0.898777i \(0.644457\pi\)
\(74\) 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 \(0.679915\pi\)
\(80\) 0.384547 + 2.20275i 0.0429937 + 0.246275i
\(81\) −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 \(0.128267\pi\)
−0.919903 + 0.392146i \(0.871733\pi\)
\(84\) −2.51805 −0.274741
\(85\) −16.0536 + 2.80257i −1.74126 + 0.303982i
\(86\) −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 \(0.0857964\pi\)
\(90\) −0.768349 + 2.09991i −0.0809911 + 0.221350i
\(91\) −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
\(95\) −9.74583 0.137412i −0.999901 0.0140982i
\(96\) 1.00000 0.102062
\(97\) −1.98898 + 1.14834i −0.201950 + 0.116596i −0.597565 0.801821i \(-0.703865\pi\)
0.395615 + 0.918417i \(0.370532\pi\)
\(98\) 0.571097 0.329723i 0.0576895 0.0333070i
\(99\) 1.44248 2.49846i 0.144975 0.251104i
\(100\) 4.70425 1.69412i 0.470425 0.169412i
\(101\) 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 \(-0.817930\pi\)
0.840826 0.541305i \(-0.182070\pi\)
\(104\) 2.32813 4.03244i 0.228292 0.395413i
\(105\) 0.968307 + 5.54663i 0.0944971 + 0.541296i
\(106\) −10.8324 −1.05214
\(107\) 3.35775i 0.324605i −0.986741 0.162303i \(-0.948108\pi\)
0.986741 0.162303i \(-0.0518921\pi\)
\(108\) 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 \(0.768355\pi\)
\(110\) −6.35487 + 1.10941i −0.605914 + 0.105778i
\(111\) −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 \(-0.654708\pi\)
0.467118 0.884195i \(-0.345292\pi\)
\(114\) −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
\(120\) −0.384547 2.20275i −0.0351042 0.201083i
\(121\) −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 −0.247968 0.968768i \(-0.579763\pi\)
−0.962962 + 0.269637i \(0.913096\pi\)
\(128\) −0.866025 + 0.500000i −0.0765466 + 0.0441942i
\(129\) 3.37689 5.84894i 0.297318 0.514971i
\(130\) −9.77774 3.57763i −0.857565 0.313779i
\(131\) 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
\(135\) 0.768349 2.09991i 0.0661290 0.180732i
\(136\) −3.64399 6.31158i −0.312470 0.541213i
\(137\) −12.5023 7.21818i −1.06814 0.616691i −0.140467 0.990085i \(-0.544861\pi\)
−0.927673 + 0.373394i \(0.878194\pi\)
\(138\) 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 \(0.996742\pi\)
\(150\) −4.70425 + 1.69412i −0.384100 + 0.138325i
\(151\) −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
\(155\) 19.3625 + 7.08464i 1.55523 + 0.569052i
\(156\) −2.32813 + 4.03244i −0.186399 + 0.322853i
\(157\) 10.6341 6.13962i 0.848696 0.489995i −0.0115149 0.999934i \(-0.503665\pi\)
0.860211 + 0.509939i \(0.170332\pi\)
\(158\) 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 \(-0.956760\pi\)
0.990787 0.135426i \(-0.0432403\pi\)
\(164\) 8.96736 0.700233
\(165\) 6.35487 1.10941i 0.494726 0.0863671i
\(166\) 3.57262 + 6.18795i 0.277289 + 0.480278i
\(167\) 5.37144 + 3.10120i 0.415654 + 0.239978i 0.693216 0.720730i \(-0.256193\pi\)
−0.277562 + 0.960708i \(0.589526\pi\)
\(168\) −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 −0.892512 0.451025i \(-0.851059\pi\)
−0.0556571 + 0.998450i \(0.517725\pi\)
\(174\) 2.20959 + 3.82712i 0.167508 + 0.290133i
\(175\) −8.12557 + 9.61712i −0.614235 + 0.726986i
\(176\) −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 \(0.523119\pi\)
\(180\) 0.384547 + 2.20275i 0.0286624 + 0.164184i
\(181\) −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
\(185\) 2.50851 6.85581i 0.184429 0.504049i
\(186\) 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
\(190\) −8.50884 + 4.75391i −0.617296 + 0.344885i
\(191\) −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 \(0.691721\pi\)
−0.996904 + 0.0786292i \(0.974946\pi\)
\(194\) −1.14834 + 1.98898i −0.0824458 + 0.142800i
\(195\) 9.77774 + 3.57763i 0.700198 + 0.256200i
\(196\) 0.329723 0.571097i 0.0235516 0.0407926i
\(197\) 3.62439i 0.258227i −0.991630 0.129113i \(-0.958787\pi\)
0.991630 0.129113i \(-0.0412131\pi\)
\(198\) 2.88497i 0.205026i
\(199\) 0.298493 0.517005i 0.0211596 0.0366495i −0.855252 0.518213i \(-0.826598\pi\)
0.876411 + 0.481563i \(0.159931\pi\)
\(200\) 3.22694 3.81928i 0.228179 0.270064i
\(201\) −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
\(205\) −3.44837 19.7529i −0.240845 1.37960i
\(206\) −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
\(215\) 14.8769 2.59715i 1.01460 0.177124i
\(216\) 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 −0.789318 0.613985i \(-0.789565\pi\)
0.137068 + 0.990562i \(0.456232\pi\)
\(224\) 1.25902 2.18069i 0.0841220 0.145704i
\(225\) 4.70425 1.69412i 0.313616 0.112942i
\(226\) −9.39912 16.2798i −0.625220 1.08291i
\(227\) 8.82814i 0.585944i 0.956121 + 0.292972i \(0.0946443\pi\)
−0.956121 + 0.292972i \(0.905356\pi\)
\(228\) 1.43993 + 4.11420i 0.0953616 + 0.272469i
\(229\) 22.2817 1.47241 0.736207 0.676756i \(-0.236615\pi\)
0.736207 + 0.676756i \(0.236615\pi\)
\(230\) 3.59442 + 1.31518i 0.237009 + 0.0867205i
\(231\) −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 −0.314294 0.949326i \(-0.601768\pi\)
0.664993 + 0.746850i \(0.268435\pi\)
\(234\) 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
\(245\) −1.38478 0.506685i −0.0884703 0.0323709i
\(246\) −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
\(250\) −9.65384 5.63945i −0.610562 0.356670i
\(251\) 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 0.648826 0.760937i \(-0.275260\pi\)
−0.334577 + 0.942368i \(0.608594\pi\)
\(258\) 6.75378i 0.420472i
\(259\) −8.22092 −0.510823
\(260\) −10.2566 + 1.79055i −0.636087 + 0.111045i
\(261\) −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 −0.884434 0.466665i \(-0.845456\pi\)
−0.0380737 + 0.999275i \(0.512122\pi\)
\(264\) 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 \(0.928431\pi\)
\(270\) −0.384547 2.20275i −0.0234028 0.134055i
\(271\) −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
\(275\) 11.0185 + 9.30961i 0.664440 + 0.561390i
\(276\) 0.855848 1.48237i 0.0515160 0.0892284i
\(277\) 11.1309i 0.668791i −0.942433 0.334396i \(-0.891468\pi\)
0.942433 0.334396i \(-0.108532\pi\)
\(278\) 6.19455i 0.371525i
\(279\) −4.61030 + 7.98528i −0.276012 + 0.478066i
\(280\) −5.28768 1.93474i −0.315999 0.115623i
\(281\) −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 −0.302779 0.953061i \(-0.597914\pi\)
0.673985 + 0.738745i \(0.264581\pi\)
\(284\) −10.7608 −0.638536
\(285\) 8.50884 4.75391i 0.504020 0.281597i
\(286\) 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
\(290\) −3.39547 + 9.27989i −0.199389 + 0.544934i
\(291\) 1.14834 1.98898i 0.0673167 0.116596i
\(292\) 14.1670i 0.829059i
\(293\) 9.26719i 0.541395i 0.962664 + 0.270697i \(0.0872543\pi\)
−0.962664 + 0.270697i \(0.912746\pi\)
\(294\) −0.329723 + 0.571097i −0.0192298 + 0.0333070i
\(295\) −3.63992 20.8501i −0.211924 1.21394i
\(296\) 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
\(300\) −3.22694 + 3.81928i −0.186307 + 0.220506i
\(301\) −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 −0.224175 0.974549i \(-0.571969\pi\)
0.731897 + 0.681415i \(0.238635\pi\)
\(308\) 6.29123 + 3.63224i 0.358476 + 0.206966i
\(309\) 5.49365 + 9.51527i 0.312523 + 0.541305i
\(310\) 20.3107 3.54576i 1.15357 0.201385i
\(311\) −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 0.593749 0.804650i \(-0.297647\pi\)
−0.399973 + 0.916527i \(0.630981\pi\)
\(314\) 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 −0.139958 0.990157i \(-0.544697\pi\)
−0.927480 + 0.373872i \(0.878030\pi\)
\(318\) 9.38113 5.41620i 0.526068 0.303725i
\(319\) 6.37459 11.0411i 0.356908 0.618184i
\(320\) 2.09991 + 0.768349i 0.117389 + 0.0429520i
\(321\) 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
\(325\) 7.88828 + 21.9042i 0.437563 + 1.21503i
\(326\) −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 −0.606167 0.795338i \(-0.707294\pi\)
0.385699 + 0.922625i \(0.373960\pi\)
\(338\) 7.51773 + 4.34036i 0.408911 + 0.236085i
\(339\) 9.39912 + 16.2798i 0.510490 + 0.884195i
\(340\) −5.59972 + 15.3041i −0.303687 + 0.829983i
\(341\) −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
\(345\) −3.59442 1.31518i −0.193517 0.0708070i
\(346\) −7.20026 + 12.4712i −0.387088 + 0.670456i
\(347\) −11.8564 + 6.84531i −0.636486 + 0.367475i −0.783260 0.621695i \(-0.786444\pi\)
0.146774 + 0.989170i \(0.453111\pi\)
\(348\) 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 \(-0.974061\pi\)
0.996681 0.0814008i \(-0.0259394\pi\)
\(354\) −9.46547 −0.503084
\(355\) 4.13803 + 23.7034i 0.219624 + 1.25805i
\(356\) −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
\(365\) 31.2063 5.44786i 1.63341 0.285154i
\(366\) 7.50173 + 12.9934i 0.392121 + 0.679174i
\(367\) −4.66821 2.69519i −0.243679 0.140688i 0.373188 0.927756i \(-0.378265\pi\)
−0.616866 + 0.787068i \(0.711598\pi\)
\(368\) 1.71170i 0.0892284i
\(369\) 8.96736 0.466822
\(370\) −1.25547 7.19156i −0.0652688 0.373871i
\(371\) 13.6382 23.6221i 0.708062 1.22640i
\(372\) 9.22060i 0.478066i
\(373\) 3.85586i 0.199649i 0.995005 + 0.0998244i \(0.0318281\pi\)
−0.995005 + 0.0998244i \(0.968172\pi\)
\(374\) 10.5128 18.2087i 0.543604 0.941550i
\(375\) 9.65384 + 5.63945i 0.498522 + 0.291220i
\(376\) 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 \(0.614072\pi\)
\(380\) −4.99192 + 8.37143i −0.256080 + 0.429445i
\(381\) 15.7576 0.807287
\(382\) −3.99564 + 2.30688i −0.204435 + 0.118030i
\(383\) 6.30771 3.64176i 0.322309 0.186085i −0.330112 0.943942i \(-0.607087\pi\)
0.652421 + 0.757857i \(0.273753\pi\)
\(384\) 0.500000 0.866025i 0.0255155 0.0441942i
\(385\) 5.58166 15.2548i 0.284468 0.777456i
\(386\) −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 \(0.332435\pi\)
\(390\) 10.2566 1.79055i 0.519362 0.0906680i
\(391\) −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
\(395\) −3.16865 18.1506i −0.159432 0.913255i
\(396\) −1.44248 2.49846i −0.0724876 0.125552i
\(397\) 10.0280 5.78964i 0.503288 0.290574i −0.226782 0.973946i \(-0.572821\pi\)
0.730071 + 0.683372i \(0.239487\pi\)
\(398\) 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
\(405\) 0.384547 + 2.20275i 0.0191083 + 0.109456i
\(406\) 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
\(415\) 5.49003 15.0044i 0.269495 0.736536i
\(416\) −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 \(0.718592\pi\)
\(420\) 5.28768 + 1.93474i 0.258012 + 0.0944056i
\(421\) 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 0.715746 0.698360i \(-0.246087\pi\)
−0.246925 + 0.969035i \(0.579420\pi\)
\(434\) −11.6089 20.1073i −0.557247 0.965181i
\(435\) 3.39547 9.27989i 0.162800 0.444936i
\(436\) 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 \(0.956360\pi\)
\(440\) −2.21666 + 6.05819i −0.105675 + 0.288813i
\(441\) 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 0.637735 0.770256i \(-0.279872\pi\)
−0.348194 + 0.937423i \(0.613205\pi\)
\(444\) −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 \(0.626393\pi\)
\(450\) 3.22694 3.81928i 0.152119 0.180043i
\(451\) 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 \(-0.912562\pi\)
0.962508 0.271254i \(-0.0874383\pi\)
\(458\) 19.2965 11.1408i 0.901666 0.520577i
\(459\) 3.64399 + 6.31158i 0.170087 + 0.294599i
\(460\) 3.77045 0.658228i 0.175798 0.0306900i
\(461\) 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 \(-0.908847\pi\)
0.959277 0.282467i \(-0.0911527\pi\)
\(464\) −4.41917 −0.205155
\(465\) −20.3107 + 3.54576i −0.941887 + 0.164430i
\(466\) 3.09066 5.35318i 0.143172 0.247981i
\(467\) 1.60463i 0.0742533i −0.999311 0.0371266i \(-0.988180\pi\)
0.999311 0.0371266i \(-0.0118205\pi\)
\(468\) 4.65626i 0.215236i
\(469\) −13.4201 + 23.2443i −0.619682 + 1.07332i
\(470\) −9.65260 3.53184i −0.445241 0.162912i
\(471\) −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
\(475\) 20.3598 + 7.77675i 0.934172 + 0.356822i
\(476\) 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 \(0.876652\pi\)
\(480\) −2.09991 0.768349i −0.0958475 0.0350702i
\(481\) −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
\(485\) 5.05901 0.883179i 0.229718 0.0401031i
\(486\) 1.00000 0.0453609
\(487\) 24.3737i 1.10448i 0.833687 + 0.552238i \(0.186226\pi\)
−0.833687 + 0.552238i \(0.813774\pi\)
\(488\) −12.9934 7.50173i −0.588182 0.339587i
\(489\) 1.72900 + 2.99472i 0.0781882 + 0.135426i
\(490\) −1.45260 + 0.253588i −0.0656216 + 0.0114559i
\(491\) 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 \(0.913224\pi\)
\(500\) −11.1802 0.0569884i −0.499994 0.00254860i
\(501\) −6.20240 −0.277103
\(502\) 21.2635i 0.949034i
\(503\) −17.0870 9.86519i −0.761872 0.439867i 0.0680955 0.997679i \(-0.478308\pi\)
−0.829967 + 0.557812i \(0.811641\pi\)
\(504\) 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 \(0.901656\pi\)
\(510\) 5.59972 15.3041i 0.247960 0.677679i
\(511\) −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
\(515\) −8.44208 + 23.0724i −0.372002 + 1.01669i
\(516\) −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 0.666989 0.745068i \(-0.267583\pi\)
−0.311753 + 0.950163i \(0.600916\pi\)
\(524\) 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
\(530\) 22.7471 + 8.32306i 0.988071 + 0.361531i
\(531\) 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
\(535\) −2.57992 + 7.05098i −0.111540 + 0.304840i
\(536\) 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
\(545\) −1.62776 9.32410i −0.0697256 0.399401i
\(546\) −5.86233 10.1539i −0.250885 0.434545i
\(547\) −5.07734 2.93141i −0.217092 0.125338i 0.387511 0.921865i \(-0.373335\pi\)
−0.604603 + 0.796527i \(0.706668\pi\)
\(548\) −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
\(555\) 1.25547 + 7.19156i 0.0532917 + 0.305265i
\(556\) 3.09728 + 5.36464i 0.131354 + 0.227511i
\(557\) 18.3570 + 10.5984i 0.777809 + 0.449068i 0.835653 0.549257i \(-0.185089\pi\)
−0.0578442 + 0.998326i \(0.518423\pi\)
\(558\) 9.22060i 0.390339i
\(559\) −31.4473 −1.33008
\(560\) −5.54663 + 0.968307i −0.234388 + 0.0409184i
\(561\) −10.5128 + 18.2087i −0.443851 + 0.768772i
\(562\) 5.68717i 0.239899i
\(563\) 26.4882i 1.11634i 0.829725 + 0.558172i \(0.188497\pi\)
−0.829725 + 0.558172i \(0.811503\pi\)
\(564\) −2.29833 + 3.98083i −0.0967773 + 0.167623i
\(565\) −14.4436 + 39.4747i −0.607647 + 1.66071i
\(566\) 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 \(0.651705\pi\)
\(570\) 4.99192 8.37143i 0.209088 0.350640i
\(571\) −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
\(575\) −2.89983 8.05225i −0.120931 0.335802i
\(576\) −0.500000 + 0.866025i −0.0208333 + 0.0360844i
\(577\) 27.9608i 1.16402i −0.813180 0.582012i \(-0.802266\pi\)
0.813180 0.582012i \(-0.197734\pi\)
\(578\) 36.1147i 1.50217i
\(579\) 12.5401 21.7202i 0.521150 0.902659i
\(580\) 1.69938 + 9.73435i 0.0705629 + 0.404197i
\(581\) −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
\(585\) −10.2566 + 1.79055i −0.424058 + 0.0740301i
\(586\) 4.63359 + 8.02562i 0.191412 + 0.331535i
\(587\) 9.03637 5.21715i 0.372971 0.215335i −0.301785 0.953376i \(-0.597582\pi\)
0.674756 + 0.738041i \(0.264249\pi\)
\(588\) 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 0.594859 0.803830i \(-0.297208\pi\)
−0.398708 + 0.917078i \(0.630541\pi\)
\(594\) 1.44248 + 2.49846i 0.0591858 + 0.102513i
\(595\) −7.05700 40.4238i −0.289309 1.65721i
\(596\) −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
\(605\) 5.62138 + 2.05684i 0.228542 + 0.0836224i
\(606\) 1.68398 + 2.91673i 0.0684069 + 0.118484i
\(607\) 6.78955i 0.275579i −0.990462 0.137790i \(-0.956000\pi\)
0.990462 0.137790i \(-0.0439998\pi\)
\(608\) −4.28296 0.810083i −0.173697 0.0328532i
\(609\) −11.1277 −0.450916
\(610\) −11.5279 + 31.5060i −0.466751 + 1.27564i
\(611\) 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 −0.858460 0.512880i \(-0.828579\pi\)
0.0149366 + 0.999888i \(0.495245\pi\)
\(614\) 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 −0.364712 0.931121i \(-0.618832\pi\)
−0.988730 + 0.149711i \(0.952166\pi\)
\(618\) 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
\(625\) 4.17378 + 24.6491i 0.166951 + 0.985965i
\(626\) 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
\(630\) −5.28768 1.93474i −0.210666 0.0770818i
\(631\) 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
\(640\) 2.20275 0.384547i 0.0870715 0.0152006i
\(641\) 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 0.420320 0.907376i \(-0.361918\pi\)
0.995971 + 0.0896801i \(0.0285845\pi\)
\(644\) −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 \(-0.928315\pi\)
0.974748 0.223306i \(-0.0716848\pi\)
\(648\) −0.866025 + 0.500000i −0.0340207 + 0.0196419i
\(649\) 13.6538 + 23.6491i 0.535958 + 0.928307i
\(650\) 17.7835 + 15.0254i 0.697528 + 0.589346i
\(651\) 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 \(-0.910844\pi\)
0.961030 0.276444i \(-0.0891562\pi\)
\(654\) −4.23293 −0.165521
\(655\) −2.52538 14.4658i −0.0986746 0.565226i
\(656\) 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 \(0.973291\pi\)
\(660\) 2.21666 6.05819i 0.0862835 0.235815i
\(661\) 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
\(665\) 0.346010 24.5404i 0.0134177 0.951637i
\(666\) 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
\(670\) −22.3832 8.18993i −0.864740 0.316405i
\(671\) 21.6422 37.4855i 0.835489 1.44711i
\(672\) 2.51805i 0.0971357i
\(673\) 29.7678i 1.14747i 0.819042 + 0.573733i \(0.194505\pi\)
−0.819042 + 0.573733i \(0.805495\pi\)
\(674\) −2.33668 + 4.04725i −0.0900055 + 0.155894i
\(675\) −3.22694 + 3.81928i −0.124205 + 0.147004i
\(676\) 8.68073 0.333874
\(677\) 14.3460i 0.551360i −0.961249 0.275680i \(-0.911097\pi\)
0.961249 0.275680i \(-0.0889031\pi\)
\(678\) 16.2798 + 9.39912i 0.625220 + 0.360971i
\(679\) −2.89157 5.00834i −0.110968 0.192202i
\(680\) 2.80257 + 16.0536i 0.107474 + 0.615629i
\(681\) −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 \(-0.726789\pi\)
0.653712 0.756744i \(-0.273211\pi\)
\(684\) −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
\(690\) −3.77045 + 0.658228i −0.143538 + 0.0250583i
\(691\) −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
\(700\) 4.26588 + 11.8455i 0.161235 + 0.447718i
\(701\) 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
\(705\) 9.65260 + 3.53184i 0.363538 + 0.133017i
\(706\) −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 \(-0.349530\pi\)
\(720\) 2.09991 + 0.768349i 0.0782592 + 0.0286347i
\(721\) 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
\(725\) 20.7889 7.48663i 0.772080 0.278047i
\(726\) 1.33848 2.31831i 0.0496756 0.0860407i
\(727\) 15.6863 9.05647i 0.581771 0.335886i −0.180066 0.983655i \(-0.557631\pi\)
0.761837 + 0.647769i \(0.224298\pi\)
\(728\) 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 \(0.0490545\pi\)
−0.988149 + 0.153500i \(0.950946\pi\)
\(734\) −5.39039 −0.198963
\(735\) 1.45260 0.253588i 0.0535798 0.00935373i
\(736\) 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 0.137528 0.990498i \(-0.456084\pi\)
0.926560 + 0.376147i \(0.122751\pi\)
\(744\) −4.61030 7.98528i −0.169022 0.292754i
\(745\) 4.61053 + 26.4099i 0.168917 + 0.967585i
\(746\) 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
\(750\) 11.1802 + 0.0569884i 0.408243 + 0.00208092i
\(751\) −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
\(755\) 11.5817 + 4.23771i 0.421503 + 0.154226i
\(756\) −1.25902 + 2.18069i −0.0457902 + 0.0793110i
\(757\) 26.9406 15.5542i 0.979174 0.565327i 0.0771537 0.997019i \(-0.475417\pi\)
0.902021 + 0.431693i \(0.142083\pi\)
\(758\) −11.8270 + 6.82832i −0.429576 + 0.248016i
\(759\) 4.93819 0.179245
\(760\) −0.137412 + 9.74583i −0.00498446 + 0.353518i
\(761\) 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
\(765\) −5.59972 + 15.3041i −0.202458 + 0.553322i
\(766\) 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 \(0.0324147\pi\)
\(770\) −2.79354 16.0019i −0.100672 0.576667i
\(771\) −5.81714 −0.209499
\(772\) 25.0803i 0.902659i
\(773\) −11.9910 6.92302i −0.431287 0.249004i 0.268608 0.963250i \(-0.413437\pi\)
−0.699895 + 0.714246i \(0.746770\pi\)
\(774\) 3.37689 + 5.84894i 0.121380 + 0.210236i
\(775\) −35.2161 29.7543i −1.26500 1.06881i