Properties

Label 546.2.bg.b.311.6
Level $546$
Weight $2$
Character 546.311
Analytic conductor $4.360$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bg (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(18\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 311.6
Character \(\chi\) \(=\) 546.311
Dual form 546.2.bg.b.467.6

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 + 0.866025i) q^{2} +(-1.08983 - 1.34620i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-2.20332 + 1.27209i) q^{5} +(0.620929 - 1.61693i) q^{6} +(2.32714 - 1.25873i) q^{7} -1.00000 q^{8} +(-0.624526 + 2.93427i) q^{9} +O(q^{10})\) \(q+(0.500000 + 0.866025i) q^{2} +(-1.08983 - 1.34620i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-2.20332 + 1.27209i) q^{5} +(0.620929 - 1.61693i) q^{6} +(2.32714 - 1.25873i) q^{7} -1.00000 q^{8} +(-0.624526 + 2.93427i) q^{9} +(-2.20332 - 1.27209i) q^{10} +(2.05512 - 3.55958i) q^{11} +(1.71076 - 0.270722i) q^{12} +(0.691594 + 3.53860i) q^{13} +(2.25366 + 1.38600i) q^{14} +(4.11374 + 1.57975i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-2.85089 + 4.93789i) q^{17} +(-2.85342 + 0.926282i) q^{18} +(4.22658 + 7.32066i) q^{19} -2.54418i q^{20} +(-4.23070 - 1.76101i) q^{21} +4.11024 q^{22} +(-1.13269 + 0.653959i) q^{23} +(1.08983 + 1.34620i) q^{24} +(0.736416 - 1.27551i) q^{25} +(-2.71872 + 2.36824i) q^{26} +(4.63076 - 2.35713i) q^{27} +(-0.0734817 + 2.64473i) q^{28} +6.06189i q^{29} +(0.688764 + 4.35248i) q^{30} +(-0.00131550 + 0.00227852i) q^{31} +(0.500000 - 0.866025i) q^{32} +(-7.03165 + 1.11273i) q^{33} -5.70178 q^{34} +(-3.52623 + 5.73372i) q^{35} +(-2.22889 - 2.00799i) q^{36} +(6.13142 - 3.53998i) q^{37} +(-4.22658 + 7.32066i) q^{38} +(4.00995 - 4.78751i) q^{39} +(2.20332 - 1.27209i) q^{40} +2.51379i q^{41} +(-0.590277 - 4.54440i) q^{42} +3.31665 q^{43} +(2.05512 + 3.55958i) q^{44} +(-2.35662 - 7.25960i) q^{45} +(-1.13269 - 0.653959i) q^{46} +(-3.68624 + 2.12825i) q^{47} +(-0.620929 + 1.61693i) q^{48} +(3.83121 - 5.85849i) q^{49} +1.47283 q^{50} +(9.75440 - 1.54360i) q^{51} +(-3.41032 - 1.17036i) q^{52} +(4.39543 + 2.53770i) q^{53} +(4.35672 + 2.83179i) q^{54} +10.4572i q^{55} +(-2.32714 + 1.25873i) q^{56} +(5.24882 - 13.6681i) q^{57} +(-5.24975 + 3.03094i) q^{58} +(-1.68327 - 0.971837i) q^{59} +(-3.42498 + 2.77273i) q^{60} +(-3.15576 + 1.82198i) q^{61} -0.00263100 q^{62} +(2.24009 + 7.61459i) q^{63} +1.00000 q^{64} +(-6.02522 - 6.91691i) q^{65} +(-4.47948 - 5.53322i) q^{66} +(-2.80901 - 1.62178i) q^{67} +(-2.85089 - 4.93789i) q^{68} +(2.11481 + 0.812125i) q^{69} +(-6.72866 - 0.186950i) q^{70} +6.68865 q^{71} +(0.624526 - 2.93427i) q^{72} +(-1.31969 + 2.28578i) q^{73} +(6.13142 + 3.53998i) q^{74} +(-2.51967 + 0.398728i) q^{75} -8.45317 q^{76} +(0.302028 - 10.8705i) q^{77} +(6.15108 + 1.07897i) q^{78} +(-7.07859 - 12.2605i) q^{79} +(2.20332 + 1.27209i) q^{80} +(-8.21993 - 3.66506i) q^{81} +(-2.17701 + 1.25689i) q^{82} -11.1300i q^{83} +(3.64043 - 2.78339i) q^{84} -14.5063i q^{85} +(1.65832 + 2.87230i) q^{86} +(8.16053 - 6.60645i) q^{87} +(-2.05512 + 3.55958i) q^{88} +(-3.31853 + 1.91595i) q^{89} +(5.10869 - 5.67070i) q^{90} +(6.06358 + 7.36431i) q^{91} -1.30792i q^{92} +(0.00450102 - 0.000712270i) q^{93} +(-3.68624 - 2.12825i) q^{94} +(-18.6250 - 10.7532i) q^{95} +(-1.71076 + 0.270722i) q^{96} +3.91287 q^{97} +(6.98920 + 0.388679i) q^{98} +(9.16129 + 8.25334i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q + 18q^{2} - 18q^{4} - 36q^{8} + 4q^{9} + O(q^{10}) \) \( 36q + 18q^{2} - 18q^{4} - 36q^{8} + 4q^{9} + 14q^{15} - 18q^{16} - 4q^{18} - 23q^{21} + 14q^{25} + 6q^{26} + 7q^{30} + 18q^{32} - 24q^{33} - 8q^{36} + 10q^{39} - 16q^{42} - 16q^{43} + 9q^{45} - 72q^{47} + 12q^{49} + 28q^{50} - 3q^{51} + 6q^{52} - 9q^{54} + 8q^{57} - 24q^{59} - 7q^{60} - 36q^{61} + 39q^{63} + 36q^{64} - 18q^{65} - 24q^{66} + 72q^{71} - 4q^{72} + 54q^{75} + 20q^{78} + 20q^{79} - 20q^{81} - 24q^{82} + 7q^{84} - 8q^{86} - 24q^{87} + 72q^{89} - 2q^{91} + 14q^{93} - 72q^{94} + 12q^{98} - 72q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.500000 + 0.866025i 0.353553 + 0.612372i
\(3\) −1.08983 1.34620i −0.629216 0.777231i
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) −2.20332 + 1.27209i −0.985355 + 0.568895i −0.903883 0.427781i \(-0.859296\pi\)
−0.0814725 + 0.996676i \(0.525962\pi\)
\(6\) 0.620929 1.61693i 0.253493 0.660107i
\(7\) 2.32714 1.25873i 0.879578 0.475755i
\(8\) −1.00000 −0.353553
\(9\) −0.624526 + 2.93427i −0.208175 + 0.978092i
\(10\) −2.20332 1.27209i −0.696751 0.402270i
\(11\) 2.05512 3.55958i 0.619643 1.07325i −0.369908 0.929068i \(-0.620611\pi\)
0.989551 0.144184i \(-0.0460558\pi\)
\(12\) 1.71076 0.270722i 0.493855 0.0781507i
\(13\) 0.691594 + 3.53860i 0.191814 + 0.981431i
\(14\) 2.25366 + 1.38600i 0.602317 + 0.370425i
\(15\) 4.11374 + 1.57975i 1.06216 + 0.407891i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) −2.85089 + 4.93789i −0.691443 + 1.19761i 0.279922 + 0.960023i \(0.409691\pi\)
−0.971365 + 0.237591i \(0.923642\pi\)
\(18\) −2.85342 + 0.926282i −0.672557 + 0.218327i
\(19\) 4.22658 + 7.32066i 0.969645 + 1.67947i 0.696581 + 0.717478i \(0.254704\pi\)
0.273064 + 0.961996i \(0.411963\pi\)
\(20\) 2.54418i 0.568895i
\(21\) −4.23070 1.76101i −0.923215 0.384283i
\(22\) 4.11024 0.876307
\(23\) −1.13269 + 0.653959i −0.236182 + 0.136360i −0.613421 0.789756i \(-0.710207\pi\)
0.377238 + 0.926116i \(0.376874\pi\)
\(24\) 1.08983 + 1.34620i 0.222461 + 0.274793i
\(25\) 0.736416 1.27551i 0.147283 0.255102i
\(26\) −2.71872 + 2.36824i −0.533185 + 0.464450i
\(27\) 4.63076 2.35713i 0.891190 0.453630i
\(28\) −0.0734817 + 2.64473i −0.0138867 + 0.499807i
\(29\) 6.06189i 1.12566i 0.826571 + 0.562832i \(0.190288\pi\)
−0.826571 + 0.562832i \(0.809712\pi\)
\(30\) 0.688764 + 4.35248i 0.125751 + 0.794651i
\(31\) −0.00131550 + 0.00227852i −0.000236271 + 0.000409234i −0.866144 0.499795i \(-0.833409\pi\)
0.865907 + 0.500205i \(0.166742\pi\)
\(32\) 0.500000 0.866025i 0.0883883 0.153093i
\(33\) −7.03165 + 1.11273i −1.22405 + 0.193702i
\(34\) −5.70178 −0.977848
\(35\) −3.52623 + 5.73372i −0.596042 + 0.969175i
\(36\) −2.22889 2.00799i −0.371482 0.334665i
\(37\) 6.13142 3.53998i 1.00800 0.581969i 0.0973943 0.995246i \(-0.468949\pi\)
0.910605 + 0.413277i \(0.135616\pi\)
\(38\) −4.22658 + 7.32066i −0.685642 + 1.18757i
\(39\) 4.00995 4.78751i 0.642106 0.766615i
\(40\) 2.20332 1.27209i 0.348376 0.201135i
\(41\) 2.51379i 0.392588i 0.980545 + 0.196294i \(0.0628907\pi\)
−0.980545 + 0.196294i \(0.937109\pi\)
\(42\) −0.590277 4.54440i −0.0910817 0.701216i
\(43\) 3.31665 0.505784 0.252892 0.967494i \(-0.418618\pi\)
0.252892 + 0.967494i \(0.418618\pi\)
\(44\) 2.05512 + 3.55958i 0.309821 + 0.536626i
\(45\) −2.35662 7.25960i −0.351305 1.08220i
\(46\) −1.13269 0.653959i −0.167006 0.0964211i
\(47\) −3.68624 + 2.12825i −0.537693 + 0.310437i −0.744143 0.668020i \(-0.767142\pi\)
0.206451 + 0.978457i \(0.433809\pi\)
\(48\) −0.620929 + 1.61693i −0.0896234 + 0.233383i
\(49\) 3.83121 5.85849i 0.547315 0.836927i
\(50\) 1.47283 0.208290
\(51\) 9.75440 1.54360i 1.36589 0.216147i
\(52\) −3.41032 1.17036i −0.472926 0.162300i
\(53\) 4.39543 + 2.53770i 0.603758 + 0.348580i 0.770519 0.637417i \(-0.219997\pi\)
−0.166760 + 0.985997i \(0.553331\pi\)
\(54\) 4.35672 + 2.83179i 0.592874 + 0.385358i
\(55\) 10.4572i 1.41005i
\(56\) −2.32714 + 1.25873i −0.310978 + 0.168205i
\(57\) 5.24882 13.6681i 0.695223 1.81039i
\(58\) −5.24975 + 3.03094i −0.689326 + 0.397982i
\(59\) −1.68327 0.971837i −0.219143 0.126522i 0.386410 0.922327i \(-0.373715\pi\)
−0.605554 + 0.795805i \(0.707048\pi\)
\(60\) −3.42498 + 2.77273i −0.442163 + 0.357958i
\(61\) −3.15576 + 1.82198i −0.404054 + 0.233281i −0.688232 0.725491i \(-0.741613\pi\)
0.284178 + 0.958772i \(0.408279\pi\)
\(62\) −0.00263100 −0.000334138
\(63\) 2.24009 + 7.61459i 0.282225 + 0.959348i
\(64\) 1.00000 0.125000
\(65\) −6.02522 6.91691i −0.747336 0.857937i
\(66\) −4.47948 5.53322i −0.551386 0.681093i
\(67\) −2.80901 1.62178i −0.343175 0.198132i 0.318500 0.947923i \(-0.396821\pi\)
−0.661675 + 0.749791i \(0.730154\pi\)
\(68\) −2.85089 4.93789i −0.345721 0.598807i
\(69\) 2.11481 + 0.812125i 0.254593 + 0.0977684i
\(70\) −6.72866 0.186950i −0.804229 0.0223448i
\(71\) 6.68865 0.793797 0.396899 0.917862i \(-0.370086\pi\)
0.396899 + 0.917862i \(0.370086\pi\)
\(72\) 0.624526 2.93427i 0.0736011 0.345808i
\(73\) −1.31969 + 2.28578i −0.154458 + 0.267530i −0.932862 0.360235i \(-0.882697\pi\)
0.778403 + 0.627765i \(0.216030\pi\)
\(74\) 6.13142 + 3.53998i 0.712763 + 0.411514i
\(75\) −2.51967 + 0.398728i −0.290946 + 0.0460411i
\(76\) −8.45317 −0.969645
\(77\) 0.302028 10.8705i 0.0344192 1.23881i
\(78\) 6.15108 + 1.07897i 0.696473 + 0.122169i
\(79\) −7.07859 12.2605i −0.796404 1.37941i −0.921944 0.387323i \(-0.873400\pi\)
0.125540 0.992088i \(-0.459934\pi\)
\(80\) 2.20332 + 1.27209i 0.246339 + 0.142224i
\(81\) −8.21993 3.66506i −0.913326 0.407229i
\(82\) −2.17701 + 1.25689i −0.240410 + 0.138801i
\(83\) 11.1300i 1.22168i −0.791755 0.610839i \(-0.790832\pi\)
0.791755 0.610839i \(-0.209168\pi\)
\(84\) 3.64043 2.78339i 0.397203 0.303693i
\(85\) 14.5063i 1.57343i
\(86\) 1.65832 + 2.87230i 0.178822 + 0.309728i
\(87\) 8.16053 6.60645i 0.874901 0.708286i
\(88\) −2.05512 + 3.55958i −0.219077 + 0.379452i
\(89\) −3.31853 + 1.91595i −0.351763 + 0.203091i −0.665462 0.746432i \(-0.731765\pi\)
0.313698 + 0.949523i \(0.398432\pi\)
\(90\) 5.10869 5.67070i 0.538503 0.597744i
\(91\) 6.06358 + 7.36431i 0.635636 + 0.771989i
\(92\) 1.30792i 0.136360i
\(93\) 0.00450102 0.000712270i 0.000466735 7.38590e-5i
\(94\) −3.68624 2.12825i −0.380206 0.219512i
\(95\) −18.6250 10.7532i −1.91089 1.10325i
\(96\) −1.71076 + 0.270722i −0.174604 + 0.0276304i
\(97\) 3.91287 0.397292 0.198646 0.980071i \(-0.436346\pi\)
0.198646 + 0.980071i \(0.436346\pi\)
\(98\) 6.98920 + 0.388679i 0.706016 + 0.0392625i
\(99\) 9.16129 + 8.25334i 0.920745 + 0.829492i
\(100\) 0.736416 + 1.27551i 0.0736416 + 0.127551i
\(101\) 7.74790 13.4198i 0.770945 1.33532i −0.166100 0.986109i \(-0.553117\pi\)
0.937045 0.349208i \(-0.113549\pi\)
\(102\) 6.21399 + 7.67576i 0.615277 + 0.760013i
\(103\) −11.5111 + 6.64596i −1.13423 + 0.654846i −0.944994 0.327087i \(-0.893933\pi\)
−0.189231 + 0.981933i \(0.560600\pi\)
\(104\) −0.691594 3.53860i −0.0678164 0.346988i
\(105\) 11.5618 1.50177i 1.12831 0.146558i
\(106\) 5.07540i 0.492967i
\(107\) −12.3570 + 7.13432i −1.19460 + 0.689701i −0.959346 0.282234i \(-0.908925\pi\)
−0.235251 + 0.971935i \(0.575591\pi\)
\(108\) −0.274044 + 5.18892i −0.0263699 + 0.499304i
\(109\) 9.22052 + 5.32347i 0.883166 + 0.509896i 0.871701 0.490038i \(-0.163017\pi\)
0.0114648 + 0.999934i \(0.496351\pi\)
\(110\) −9.05619 + 5.22859i −0.863474 + 0.498527i
\(111\) −11.4478 4.39615i −1.08657 0.417264i
\(112\) −2.25366 1.38600i −0.212951 0.130965i
\(113\) 0.854272i 0.0803632i 0.999192 + 0.0401816i \(0.0127936\pi\)
−0.999192 + 0.0401816i \(0.987206\pi\)
\(114\) 14.4614 2.28846i 1.35443 0.214334i
\(115\) 1.66379 2.88177i 0.155149 0.268726i
\(116\) −5.24975 3.03094i −0.487427 0.281416i
\(117\) −10.8151 0.180622i −0.999861 0.0166985i
\(118\) 1.94367i 0.178930i
\(119\) −0.418977 + 15.0797i −0.0384075 + 1.38235i
\(120\) −4.11374 1.57975i −0.375532 0.144211i
\(121\) −2.94705 5.10444i −0.267914 0.464040i
\(122\) −3.15576 1.82198i −0.285709 0.164954i
\(123\) 3.38407 2.73961i 0.305131 0.247022i
\(124\) −0.00131550 0.00227852i −0.000118136 0.000204617i
\(125\) 8.97374i 0.802635i
\(126\) −5.47438 + 5.74727i −0.487697 + 0.512008i
\(127\) −12.0715 −1.07117 −0.535584 0.844482i \(-0.679908\pi\)
−0.535584 + 0.844482i \(0.679908\pi\)
\(128\) 0.500000 + 0.866025i 0.0441942 + 0.0765466i
\(129\) −3.61459 4.46488i −0.318247 0.393111i
\(130\) 2.97761 8.67644i 0.261154 0.760974i
\(131\) 8.61673 + 14.9246i 0.752847 + 1.30397i 0.946438 + 0.322887i \(0.104653\pi\)
−0.193591 + 0.981082i \(0.562013\pi\)
\(132\) 2.55217 6.64596i 0.222138 0.578456i
\(133\) 19.0506 + 11.7161i 1.65190 + 1.01592i
\(134\) 3.24356i 0.280201i
\(135\) −7.20457 + 11.0843i −0.620071 + 0.953980i
\(136\) 2.85089 4.93789i 0.244462 0.423421i
\(137\) −6.52427 + 11.3004i −0.557406 + 0.965456i 0.440306 + 0.897848i \(0.354870\pi\)
−0.997712 + 0.0676081i \(0.978463\pi\)
\(138\) 0.354082 + 2.23754i 0.0301415 + 0.190472i
\(139\) 0.623348i 0.0528717i 0.999651 + 0.0264359i \(0.00841577\pi\)
−0.999651 + 0.0264359i \(0.991584\pi\)
\(140\) −3.20243 5.92067i −0.270654 0.500388i
\(141\) 6.88244 + 2.64299i 0.579606 + 0.222580i
\(142\) 3.34433 + 5.79254i 0.280650 + 0.486099i
\(143\) 14.0172 + 4.81047i 1.17218 + 0.402272i
\(144\) 2.85342 0.926282i 0.237785 0.0771901i
\(145\) −7.71125 13.3563i −0.640385 1.10918i
\(146\) −2.63939 −0.218437
\(147\) −12.0621 + 1.22719i −0.994864 + 0.101217i
\(148\) 7.07996i 0.581969i
\(149\) −0.986187 1.70813i −0.0807916 0.139935i 0.822799 0.568333i \(-0.192411\pi\)
−0.903590 + 0.428398i \(0.859078\pi\)
\(150\) −1.60514 1.98273i −0.131059 0.161889i
\(151\) 8.14145 + 4.70047i 0.662542 + 0.382519i 0.793245 0.608903i \(-0.208390\pi\)
−0.130703 + 0.991422i \(0.541723\pi\)
\(152\) −4.22658 7.32066i −0.342821 0.593784i
\(153\) −12.7087 11.4491i −1.02743 0.925608i
\(154\) 9.56513 5.17368i 0.770780 0.416907i
\(155\) 0.00669374i 0.000537654i
\(156\) 2.14113 + 5.86648i 0.171428 + 0.469694i
\(157\) 6.32327 + 3.65074i 0.504652 + 0.291361i 0.730633 0.682771i \(-0.239225\pi\)
−0.225980 + 0.974132i \(0.572559\pi\)
\(158\) 7.07859 12.2605i 0.563142 0.975391i
\(159\) −1.37402 8.68281i −0.108967 0.688592i
\(160\) 2.54418i 0.201135i
\(161\) −1.81278 + 2.94761i −0.142867 + 0.232304i
\(162\) −0.935930 8.95120i −0.0735336 0.703273i
\(163\) 13.1037 7.56540i 1.02636 0.592568i 0.110418 0.993885i \(-0.464781\pi\)
0.915939 + 0.401317i \(0.131448\pi\)
\(164\) −2.17701 1.25689i −0.169996 0.0981470i
\(165\) 14.0775 11.3966i 1.09593 0.887223i
\(166\) 9.63888 5.56501i 0.748122 0.431929i
\(167\) 24.2735i 1.87834i −0.343458 0.939168i \(-0.611598\pi\)
0.343458 0.939168i \(-0.388402\pi\)
\(168\) 4.23070 + 1.76101i 0.326406 + 0.135865i
\(169\) −12.0434 + 4.89455i −0.926415 + 0.376504i
\(170\) 12.5629 7.25317i 0.963527 0.556293i
\(171\) −24.1204 + 7.83001i −1.84454 + 0.598776i
\(172\) −1.65832 + 2.87230i −0.126446 + 0.219011i
\(173\) 0.204681 + 0.354517i 0.0155616 + 0.0269535i 0.873701 0.486463i \(-0.161713\pi\)
−0.858140 + 0.513416i \(0.828380\pi\)
\(174\) 9.80162 + 3.76400i 0.743059 + 0.285348i
\(175\) 0.108226 3.89524i 0.00818113 0.294453i
\(176\) −4.11024 −0.309821
\(177\) 0.526195 + 3.32517i 0.0395512 + 0.249935i
\(178\) −3.31853 1.91595i −0.248734 0.143607i
\(179\) 20.4933 + 11.8318i 1.53174 + 0.884352i 0.999282 + 0.0378964i \(0.0120657\pi\)
0.532460 + 0.846455i \(0.321268\pi\)
\(180\) 7.46531 + 1.58890i 0.556431 + 0.118430i
\(181\) 14.2247i 1.05732i −0.848835 0.528658i \(-0.822696\pi\)
0.848835 0.528658i \(-0.177304\pi\)
\(182\) −3.34589 + 8.93337i −0.248014 + 0.662185i
\(183\) 5.89201 + 2.26264i 0.435550 + 0.167259i
\(184\) 1.13269 0.653959i 0.0835031 0.0482105i
\(185\) −9.00633 + 15.5994i −0.662158 + 1.14689i
\(186\) 0.00286736 + 0.00354187i 0.000210245 + 0.000259702i
\(187\) 11.7179 + 20.2959i 0.856895 + 1.48419i
\(188\) 4.25650i 0.310437i
\(189\) 7.80946 11.3143i 0.568055 0.822991i
\(190\) 21.5063i 1.56023i
\(191\) 13.8603 8.00228i 1.00290 0.579024i 0.0937947 0.995592i \(-0.470100\pi\)
0.909105 + 0.416567i \(0.136767\pi\)
\(192\) −1.08983 1.34620i −0.0786520 0.0971538i
\(193\) −14.6848 8.47830i −1.05704 0.610281i −0.132427 0.991193i \(-0.542277\pi\)
−0.924611 + 0.380912i \(0.875610\pi\)
\(194\) 1.95644 + 3.38865i 0.140464 + 0.243291i
\(195\) −2.74508 + 15.6494i −0.196579 + 1.12068i
\(196\) 3.15799 + 6.24716i 0.225571 + 0.446226i
\(197\) 2.56563 0.182794 0.0913969 0.995815i \(-0.470867\pi\)
0.0913969 + 0.995815i \(0.470867\pi\)
\(198\) −2.56695 + 12.0606i −0.182426 + 0.857108i
\(199\) 18.7467 + 10.8234i 1.32892 + 0.767249i 0.985132 0.171800i \(-0.0549582\pi\)
0.343783 + 0.939049i \(0.388292\pi\)
\(200\) −0.736416 + 1.27551i −0.0520725 + 0.0901922i
\(201\) 0.878102 + 5.54896i 0.0619366 + 0.391394i
\(202\) 15.4958 1.09028
\(203\) 7.63027 + 14.1069i 0.535540 + 0.990110i
\(204\) −3.54041 + 9.21936i −0.247878 + 0.645484i
\(205\) −3.19776 5.53868i −0.223341 0.386839i
\(206\) −11.5111 6.64596i −0.802019 0.463046i
\(207\) −1.21150 3.73204i −0.0842052 0.259395i
\(208\) 2.71872 2.36824i 0.188509 0.164208i
\(209\) 34.7446 2.40333
\(210\) 7.08145 + 9.26189i 0.488666 + 0.639131i
\(211\) −7.00715 −0.482392 −0.241196 0.970476i \(-0.577540\pi\)
−0.241196 + 0.970476i \(0.577540\pi\)
\(212\) −4.39543 + 2.53770i −0.301879 + 0.174290i
\(213\) −7.28952 9.00429i −0.499470 0.616964i
\(214\) −12.3570 7.13432i −0.844707 0.487692i
\(215\) −7.30764 + 4.21907i −0.498377 + 0.287738i
\(216\) −4.63076 + 2.35713i −0.315083 + 0.160382i
\(217\) −0.000193331 0.00695830i −1.31241e−5 0.000472360i
\(218\) 10.6469i 0.721102i
\(219\) 4.51536 0.714539i 0.305120 0.0482841i
\(220\) −9.05619 5.22859i −0.610568 0.352512i
\(221\) −19.4449 6.67315i −1.30800 0.448885i
\(222\) −1.91670 12.1121i −0.128640 0.812913i
\(223\) −21.1582 −1.41686 −0.708429 0.705782i \(-0.750596\pi\)
−0.708429 + 0.705782i \(0.750596\pi\)
\(224\) 0.0734817 2.64473i 0.00490970 0.176709i
\(225\) 3.28279 + 2.95744i 0.218852 + 0.197162i
\(226\) −0.739822 + 0.427136i −0.0492122 + 0.0284127i
\(227\) 11.6624 + 6.73328i 0.774059 + 0.446903i 0.834321 0.551279i \(-0.185860\pi\)
−0.0602614 + 0.998183i \(0.519193\pi\)
\(228\) 9.21254 + 11.3797i 0.610116 + 0.753638i
\(229\) −1.12680 1.95167i −0.0744607 0.128970i 0.826391 0.563097i \(-0.190390\pi\)
−0.900852 + 0.434127i \(0.857057\pi\)
\(230\) 3.32758 0.219414
\(231\) −14.9630 + 11.4404i −0.984496 + 0.752725i
\(232\) 6.06189i 0.397982i
\(233\) −1.12902 + 0.651840i −0.0739645 + 0.0427034i −0.536526 0.843884i \(-0.680264\pi\)
0.462562 + 0.886587i \(0.346930\pi\)
\(234\) −5.25115 9.45650i −0.343278 0.618191i
\(235\) 5.41464 9.37843i 0.353212 0.611782i
\(236\) 1.68327 0.971837i 0.109572 0.0632612i
\(237\) −8.79061 + 22.8911i −0.571012 + 1.48694i
\(238\) −13.2689 + 7.17700i −0.860093 + 0.465216i
\(239\) 3.50122 0.226475 0.113238 0.993568i \(-0.463878\pi\)
0.113238 + 0.993568i \(0.463878\pi\)
\(240\) −0.688764 4.35248i −0.0444595 0.280952i
\(241\) −6.59729 + 11.4268i −0.424969 + 0.736067i −0.996418 0.0845704i \(-0.973048\pi\)
0.571449 + 0.820638i \(0.306382\pi\)
\(242\) 2.94705 5.10444i 0.189444 0.328126i
\(243\) 4.02444 + 15.0600i 0.258168 + 0.966100i
\(244\) 3.64396i 0.233281i
\(245\) −0.988867 + 17.7818i −0.0631764 + 1.13603i
\(246\) 4.06461 + 1.56089i 0.259150 + 0.0995184i
\(247\) −22.9818 + 20.0191i −1.46230 + 1.27379i
\(248\) 0.00131550 0.00227852i 8.35345e−5 0.000144686i
\(249\) −14.9833 + 12.1299i −0.949526 + 0.768699i
\(250\) 7.77148 4.48687i 0.491512 0.283774i
\(251\) −28.4357 −1.79485 −0.897424 0.441169i \(-0.854564\pi\)
−0.897424 + 0.441169i \(0.854564\pi\)
\(252\) −7.71447 1.86732i −0.485966 0.117630i
\(253\) 5.37586i 0.337978i
\(254\) −6.03573 10.4542i −0.378715 0.655954i
\(255\) −19.5285 + 15.8095i −1.22292 + 0.990029i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −9.54939 16.5400i −0.595675 1.03174i −0.993451 0.114257i \(-0.963551\pi\)
0.397776 0.917482i \(-0.369782\pi\)
\(258\) 2.05940 5.36277i 0.128213 0.333872i
\(259\) 9.81284 15.9558i 0.609740 0.991448i
\(260\) 9.00282 1.75954i 0.558331 0.109122i
\(261\) −17.7872 3.78581i −1.10100 0.234336i
\(262\) −8.61673 + 14.9246i −0.532343 + 0.922045i
\(263\) 4.49853 + 2.59723i 0.277391 + 0.160152i 0.632242 0.774771i \(-0.282135\pi\)
−0.354851 + 0.934923i \(0.615468\pi\)
\(264\) 7.03165 1.11273i 0.432768 0.0684840i
\(265\) −12.9127 −0.793222
\(266\) −0.621153 + 22.3564i −0.0380853 + 1.37076i
\(267\) 6.19590 + 2.37934i 0.379183 + 0.145613i
\(268\) 2.80901 1.62178i 0.171587 0.0990660i
\(269\) 3.10207 5.37294i 0.189136 0.327594i −0.755826 0.654772i \(-0.772765\pi\)
0.944963 + 0.327179i \(0.106098\pi\)
\(270\) −13.2015 0.697216i −0.803419 0.0424312i
\(271\) −12.8489 22.2550i −0.780518 1.35190i −0.931640 0.363382i \(-0.881622\pi\)
0.151123 0.988515i \(-0.451711\pi\)
\(272\) 5.70178 0.345721
\(273\) 3.30557 16.1887i 0.200062 0.979783i
\(274\) −13.0485 −0.788292
\(275\) −3.02685 5.24266i −0.182526 0.316144i
\(276\) −1.76072 + 1.42541i −0.105983 + 0.0857998i
\(277\) −12.1581 + 21.0584i −0.730507 + 1.26528i 0.226159 + 0.974090i \(0.427383\pi\)
−0.956667 + 0.291186i \(0.905950\pi\)
\(278\) −0.539835 + 0.311674i −0.0323772 + 0.0186930i
\(279\) −0.00586423 0.00528304i −0.000351082 0.000316287i
\(280\) 3.52623 5.73372i 0.210733 0.342655i
\(281\) 22.7215 1.35545 0.677724 0.735316i \(-0.262966\pi\)
0.677724 + 0.735316i \(0.262966\pi\)
\(282\) 1.15233 + 7.28186i 0.0686201 + 0.433628i
\(283\) 16.6217 + 9.59655i 0.988059 + 0.570456i 0.904693 0.426063i \(-0.140100\pi\)
0.0833652 + 0.996519i \(0.473433\pi\)
\(284\) −3.34433 + 5.79254i −0.198449 + 0.343724i
\(285\) 5.82224 + 36.7923i 0.344880 + 2.17939i
\(286\) 2.84262 + 14.5445i 0.168088 + 0.860035i
\(287\) 3.16418 + 5.84995i 0.186775 + 0.345312i
\(288\) 2.22889 + 2.00799i 0.131339 + 0.118322i
\(289\) −7.75517 13.4323i −0.456186 0.790138i
\(290\) 7.71125 13.3563i 0.452820 0.784308i
\(291\) −4.26438 5.26752i −0.249982 0.308787i
\(292\) −1.31969 2.28578i −0.0772292 0.133765i
\(293\) 11.7362i 0.685634i −0.939402 0.342817i \(-0.888619\pi\)
0.939402 0.342817i \(-0.111381\pi\)
\(294\) −7.09382 9.83248i −0.413720 0.573442i
\(295\) 4.94505 0.287912
\(296\) −6.13142 + 3.53998i −0.356382 + 0.205757i
\(297\) 1.12639 21.3277i 0.0653596 1.23756i
\(298\) 0.986187 1.70813i 0.0571283 0.0989491i
\(299\) −3.09746 3.55587i −0.179131 0.205641i
\(300\) 0.914525 2.38146i 0.0528001 0.137494i
\(301\) 7.71832 4.17476i 0.444877 0.240629i
\(302\) 9.40094i 0.540963i
\(303\) −26.5097 + 4.19505i −1.52294 + 0.241000i
\(304\) 4.22658 7.32066i 0.242411 0.419869i
\(305\) 4.63544 8.02882i 0.265425 0.459729i
\(306\) 3.56091 16.7306i 0.203564 0.956425i
\(307\) 27.2408 1.55471 0.777357 0.629060i \(-0.216560\pi\)
0.777357 + 0.629060i \(0.216560\pi\)
\(308\) 9.26310 + 5.69681i 0.527814 + 0.324606i
\(309\) 21.4920 + 8.25334i 1.22264 + 0.469516i
\(310\) 0.00579695 0.00334687i 0.000329245 0.000190089i
\(311\) 1.45991 2.52863i 0.0827837 0.143386i −0.821661 0.569977i \(-0.806952\pi\)
0.904445 + 0.426591i \(0.140286\pi\)
\(312\) −4.00995 + 4.78751i −0.227019 + 0.271039i
\(313\) 5.81374 3.35656i 0.328612 0.189724i −0.326613 0.945158i \(-0.605907\pi\)
0.655225 + 0.755434i \(0.272574\pi\)
\(314\) 7.30149i 0.412047i
\(315\) −14.6221 13.9278i −0.823860 0.784742i
\(316\) 14.1572 0.796404
\(317\) −7.72251 13.3758i −0.433740 0.751259i 0.563452 0.826149i \(-0.309473\pi\)
−0.997192 + 0.0748897i \(0.976140\pi\)
\(318\) 6.83252 5.53134i 0.383149 0.310182i
\(319\) 21.5777 + 12.4579i 1.20812 + 0.697509i
\(320\) −2.20332 + 1.27209i −0.123169 + 0.0711119i
\(321\) 23.0713 + 8.85982i 1.28772 + 0.494507i
\(322\) −3.45909 0.0961081i −0.192768 0.00535589i
\(323\) −48.1981 −2.68182
\(324\) 7.28400 5.28614i 0.404667 0.293674i
\(325\) 5.02282 + 1.72375i 0.278616 + 0.0956163i
\(326\) 13.1037 + 7.56540i 0.725744 + 0.419009i
\(327\) −2.88236 18.2144i −0.159395 1.00726i
\(328\) 2.51379i 0.138801i
\(329\) −5.89952 + 9.59271i −0.325251 + 0.528863i
\(330\) 16.9085 + 6.49317i 0.930781 + 0.357437i
\(331\) −4.14357 + 2.39229i −0.227751 + 0.131492i −0.609534 0.792760i \(-0.708643\pi\)
0.381783 + 0.924252i \(0.375310\pi\)
\(332\) 9.63888 + 5.56501i 0.529002 + 0.305420i
\(333\) 6.55804 + 20.2021i 0.359378 + 1.10707i
\(334\) 21.0214 12.1367i 1.15024 0.664092i
\(335\) 8.25219 0.450865
\(336\) 0.590277 + 4.54440i 0.0322022 + 0.247917i
\(337\) 26.6494 1.45169 0.725843 0.687860i \(-0.241450\pi\)
0.725843 + 0.687860i \(0.241450\pi\)
\(338\) −10.2605 7.98261i −0.558098 0.434197i
\(339\) 1.15002 0.931015i 0.0624607 0.0505658i
\(340\) 12.5629 + 7.25317i 0.681317 + 0.393358i
\(341\) 0.00540703 + 0.00936526i 0.000292807 + 0.000507157i
\(342\) −18.8412 16.9739i −1.01882 0.917843i
\(343\) 1.54153 18.4560i 0.0832347 0.996530i
\(344\) −3.31665 −0.178822
\(345\) −5.69269 + 0.900847i −0.306484 + 0.0485000i
\(346\) −0.204681 + 0.354517i −0.0110037 + 0.0190590i
\(347\) −5.45892 3.15171i −0.293050 0.169193i 0.346266 0.938136i \(-0.387449\pi\)
−0.639317 + 0.768944i \(0.720783\pi\)
\(348\) 1.64109 + 10.3705i 0.0879714 + 0.555915i
\(349\) −9.52826 −0.510036 −0.255018 0.966936i \(-0.582081\pi\)
−0.255018 + 0.966936i \(0.582081\pi\)
\(350\) 3.42749 1.85390i 0.183207 0.0990949i
\(351\) 11.5436 + 14.7562i 0.616149 + 0.787629i
\(352\) −2.05512 3.55958i −0.109538 0.189726i
\(353\) −14.3774 8.30082i −0.765234 0.441808i 0.0659376 0.997824i \(-0.478996\pi\)
−0.831172 + 0.556016i \(0.812329\pi\)
\(354\) −2.61658 + 2.11828i −0.139070 + 0.112585i
\(355\) −14.7373 + 8.50856i −0.782172 + 0.451587i
\(356\) 3.83190i 0.203091i
\(357\) 20.7569 15.8703i 1.09857 0.839946i
\(358\) 23.6636i 1.25066i
\(359\) −8.18866 14.1832i −0.432181 0.748559i 0.564880 0.825173i \(-0.308922\pi\)
−0.997061 + 0.0766138i \(0.975589\pi\)
\(360\) 2.35662 + 7.25960i 0.124205 + 0.382615i
\(361\) −26.2280 + 45.4283i −1.38042 + 2.39096i
\(362\) 12.3190 7.11236i 0.647471 0.373817i
\(363\) −3.65982 + 9.53032i −0.192091 + 0.500212i
\(364\) −9.40947 + 1.56906i −0.493190 + 0.0822410i
\(365\) 6.71506i 0.351482i
\(366\) 0.986500 + 6.23395i 0.0515652 + 0.325854i
\(367\) −26.9853 15.5800i −1.40862 0.813269i −0.413368 0.910564i \(-0.635648\pi\)
−0.995256 + 0.0972954i \(0.968981\pi\)
\(368\) 1.13269 + 0.653959i 0.0590456 + 0.0340900i
\(369\) −7.37615 1.56993i −0.383987 0.0817271i
\(370\) −18.0127 −0.936434
\(371\) 13.4231 + 0.372949i 0.696891 + 0.0193626i
\(372\) −0.00163367 + 0.00425414i −8.47018e−5 + 0.000220567i
\(373\) −11.8848 20.5851i −0.615372 1.06585i −0.990319 0.138809i \(-0.955673\pi\)
0.374948 0.927046i \(-0.377661\pi\)
\(374\) −11.7179 + 20.2959i −0.605916 + 1.04948i
\(375\) −12.0805 + 9.77988i −0.623833 + 0.505031i
\(376\) 3.68624 2.12825i 0.190103 0.109756i
\(377\) −21.4506 + 4.19237i −1.10476 + 0.215918i
\(378\) 13.7032 + 1.10606i 0.704815 + 0.0568898i
\(379\) 5.87885i 0.301976i −0.988536 0.150988i \(-0.951755\pi\)
0.988536 0.150988i \(-0.0482455\pi\)
\(380\) 18.6250 10.7532i 0.955445 0.551626i
\(381\) 13.1559 + 16.2506i 0.673996 + 0.832545i
\(382\) 13.8603 + 8.00228i 0.709157 + 0.409432i
\(383\) −12.8839 + 7.43851i −0.658336 + 0.380090i −0.791643 0.610985i \(-0.790774\pi\)
0.133307 + 0.991075i \(0.457440\pi\)
\(384\) 0.620929 1.61693i 0.0316867 0.0825134i
\(385\) 13.1628 + 24.3354i 0.670836 + 1.24025i
\(386\) 16.9566i 0.863068i
\(387\) −2.07133 + 9.73196i −0.105292 + 0.494703i
\(388\) −1.95644 + 3.38865i −0.0993229 + 0.172032i
\(389\) 26.8563 + 15.5055i 1.36167 + 0.786158i 0.989846 0.142146i \(-0.0454004\pi\)
0.371821 + 0.928305i \(0.378734\pi\)
\(390\) −14.9254 + 5.44741i −0.755775 + 0.275840i
\(391\) 7.45747i 0.377140i
\(392\) −3.83121 + 5.85849i −0.193505 + 0.295898i
\(393\) 10.7008 27.8652i 0.539782 1.40561i
\(394\) 1.28282 + 2.22190i 0.0646273 + 0.111938i
\(395\) 31.1928 + 18.0092i 1.56948 + 0.906140i
\(396\) −11.7282 + 3.80724i −0.589367 + 0.191321i
\(397\) 7.10552 + 12.3071i 0.356616 + 0.617677i 0.987393 0.158287i \(-0.0505972\pi\)
−0.630777 + 0.775964i \(0.717264\pi\)
\(398\) 21.6468i 1.08505i
\(399\) −4.98971 38.4146i −0.249798 1.92313i
\(400\) −1.47283 −0.0736416
\(401\) 19.1854 + 33.2301i 0.958073 + 1.65943i 0.727174 + 0.686453i \(0.240833\pi\)
0.230899 + 0.972978i \(0.425833\pi\)
\(402\) −4.36649 + 3.53494i −0.217781 + 0.176307i
\(403\) −0.00897256 0.00307923i −0.000446955 0.000153387i
\(404\) 7.74790 + 13.4198i 0.385473 + 0.667658i
\(405\) 22.7734 2.38117i 1.13162 0.118321i
\(406\) −8.40179 + 13.6615i −0.416974 + 0.678006i
\(407\) 29.1004i 1.44245i
\(408\) −9.75440 + 1.54360i −0.482915 + 0.0764195i
\(409\) −2.09152 + 3.62262i −0.103419 + 0.179127i −0.913091 0.407755i \(-0.866312\pi\)
0.809672 + 0.586882i \(0.199645\pi\)
\(410\) 3.19776 5.53868i 0.157926 0.273536i
\(411\) 22.3230 3.53253i 1.10111 0.174247i
\(412\) 13.2919i 0.654846i
\(413\) −5.14050 0.142824i −0.252947 0.00702793i
\(414\) 2.62629 2.91521i 0.129075 0.143275i
\(415\) 14.1584 + 24.5230i 0.695007 + 1.20379i
\(416\) 3.41032 + 1.17036i 0.167204 + 0.0573817i
\(417\) 0.839153 0.679346i 0.0410935 0.0332677i
\(418\) 17.3723 + 30.0897i 0.849706 + 1.47173i
\(419\) 24.4059 1.19231 0.596154 0.802870i \(-0.296695\pi\)
0.596154 + 0.802870i \(0.296695\pi\)
\(420\) −4.48031 + 10.7637i −0.218617 + 0.525213i
\(421\) 7.06979i 0.344560i −0.985048 0.172280i \(-0.944887\pi\)
0.985048 0.172280i \(-0.0551135\pi\)
\(422\) −3.50357 6.06837i −0.170551 0.295404i
\(423\) −3.94272 12.1456i −0.191701 0.590538i
\(424\) −4.39543 2.53770i −0.213461 0.123242i
\(425\) 4.19888 + 7.27268i 0.203676 + 0.352777i
\(426\) 4.15318 10.8151i 0.201222 0.523991i
\(427\) −5.05054 + 8.21226i −0.244413 + 0.397419i
\(428\) 14.2686i 0.689701i
\(429\) −8.80057 24.1127i −0.424895 1.16417i
\(430\) −7.30764 4.21907i −0.352406 0.203462i
\(431\) 1.83652 3.18094i 0.0884620 0.153221i −0.818399 0.574650i \(-0.805138\pi\)
0.906861 + 0.421429i \(0.138471\pi\)
\(432\) −4.35672 2.83179i −0.209613 0.136245i
\(433\) 30.9079i 1.48534i −0.669658 0.742669i \(-0.733559\pi\)
0.669658 0.742669i \(-0.266441\pi\)
\(434\) −0.00612273 + 0.00331172i −0.000293900 + 0.000158968i
\(435\) −9.57629 + 24.9370i −0.459148 + 1.19564i
\(436\) −9.22052 + 5.32347i −0.441583 + 0.254948i
\(437\) −9.57483 5.52803i −0.458026 0.264441i
\(438\) 2.87649 + 3.55315i 0.137444 + 0.169776i
\(439\) 31.8737 18.4023i 1.52125 0.878294i 0.521564 0.853212i \(-0.325349\pi\)
0.999685 0.0250815i \(-0.00798452\pi\)
\(440\) 10.4572i 0.498527i
\(441\) 14.7977 + 14.9006i 0.704653 + 0.709552i
\(442\) −3.94332 20.1763i −0.187565 0.959690i
\(443\) 31.8442 18.3852i 1.51296 0.873509i 0.513077 0.858342i \(-0.328505\pi\)
0.999885 0.0151669i \(-0.00482798\pi\)
\(444\) 9.53106 7.71597i 0.452324 0.366184i
\(445\) 4.87452 8.44292i 0.231074 0.400233i
\(446\) −10.5791 18.3235i −0.500935 0.867645i
\(447\) −1.22470 + 3.18918i −0.0579265 + 0.150843i
\(448\) 2.32714 1.25873i 0.109947 0.0594693i
\(449\) −3.94653 −0.186248 −0.0931240 0.995655i \(-0.529685\pi\)
−0.0931240 + 0.995655i \(0.529685\pi\)
\(450\) −0.919822 + 4.32169i −0.0433608 + 0.203727i
\(451\) 8.94802 + 5.16614i 0.421346 + 0.243264i
\(452\) −0.739822 0.427136i −0.0347983 0.0200908i
\(453\) −2.54504 16.0828i −0.119576 0.755635i
\(454\) 13.4666i 0.632017i
\(455\) −22.7281 8.51253i −1.06551 0.399074i
\(456\) −5.24882 + 13.6681i −0.245799 + 0.640069i
\(457\) 0.843279 0.486868i 0.0394469 0.0227747i −0.480147 0.877188i \(-0.659417\pi\)
0.519594 + 0.854413i \(0.326083\pi\)
\(458\) 1.12680 1.95167i 0.0526517 0.0911954i
\(459\) −1.56254 + 29.5861i −0.0729331 + 1.38096i
\(460\) 1.66379 + 2.88177i 0.0775745 + 0.134363i
\(461\) 10.2088i 0.475471i −0.971330 0.237736i \(-0.923595\pi\)
0.971330 0.237736i \(-0.0764052\pi\)
\(462\) −17.3892 7.23816i −0.809020 0.336750i
\(463\) 11.4435i 0.531824i −0.963997 0.265912i \(-0.914327\pi\)
0.963997 0.265912i \(-0.0856731\pi\)
\(464\) 5.24975 3.03094i 0.243713 0.140708i
\(465\) −0.00901113 + 0.00729506i −0.000417881 + 0.000338300i
\(466\) −1.12902 0.651840i −0.0523008 0.0301959i
\(467\) −12.8601 22.2744i −0.595097 1.03074i −0.993533 0.113542i \(-0.963780\pi\)
0.398437 0.917196i \(-0.369553\pi\)
\(468\) 5.56400 9.27588i 0.257196 0.428778i
\(469\) −8.57834 0.238342i −0.396111 0.0110056i
\(470\) 10.8293 0.499518
\(471\) −1.97667 12.4911i −0.0910803 0.575560i
\(472\) 1.68327 + 0.971837i 0.0774789 + 0.0447324i
\(473\) 6.81612 11.8059i 0.313405 0.542834i
\(474\) −24.2196 + 3.83266i −1.11244 + 0.176040i
\(475\) 12.4501 0.571250
\(476\) −12.8499 7.90269i −0.588974 0.362219i
\(477\) −10.1914 + 11.3125i −0.466631 + 0.517965i
\(478\) 1.75061 + 3.03215i 0.0800711 + 0.138687i
\(479\) 27.5828 + 15.9249i 1.26029 + 0.727629i 0.973131 0.230254i \(-0.0739557\pi\)
0.287160 + 0.957883i \(0.407289\pi\)
\(480\) 3.42498 2.77273i 0.156328 0.126557i
\(481\) 16.7670 + 19.2484i 0.764511 + 0.877653i
\(482\) −13.1946 −0.600996
\(483\) 5.94371 0.772034i 0.270448 0.0351288i
\(484\) 5.89410 0.267914
\(485\) −8.62131 + 4.97752i −0.391474 + 0.226017i
\(486\) −11.0301 + 11.0153i −0.500337 + 0.499663i
\(487\) −17.8940 10.3311i −0.810854 0.468147i 0.0363981 0.999337i \(-0.488412\pi\)
−0.847252 + 0.531190i \(0.821745\pi\)
\(488\) 3.15576 1.82198i 0.142855 0.0824772i
\(489\) −24.4654 9.39516i −1.10636 0.424864i
\(490\) −15.8939 + 8.03450i −0.718013 + 0.362962i
\(491\) 9.08674i 0.410079i −0.978754 0.205039i \(-0.934268\pi\)
0.978754 0.205039i \(-0.0657322\pi\)
\(492\) 0.680538 + 4.30050i 0.0306810 + 0.193881i
\(493\) −29.9329 17.2818i −1.34811 0.778332i
\(494\) −28.8280 9.89327i −1.29703 0.445119i
\(495\) −30.6842 6.53079i −1.37915 0.293537i
\(496\) 0.00263100 0.000118136
\(497\) 15.5655 8.41920i 0.698207 0.377653i
\(498\) −17.9964 6.91096i −0.806438 0.309687i
\(499\) 14.4611 8.34913i 0.647368 0.373758i −0.140079 0.990140i \(-0.544736\pi\)
0.787447 + 0.616382i \(0.211402\pi\)
\(500\) 7.77148 + 4.48687i 0.347551 + 0.200659i
\(501\) −32.6770 + 26.4540i −1.45990 + 1.18188i
\(502\) −14.2179 24.6261i −0.634575 1.09912i
\(503\) 29.9262 1.33434 0.667171 0.744904i \(-0.267505\pi\)
0.667171 + 0.744904i \(0.267505\pi\)
\(504\) −2.24009 7.61459i −0.0997816 0.339181i
\(505\) 39.4241i 1.75435i
\(506\) −4.65564 + 2.68793i −0.206968 + 0.119493i
\(507\) 19.7144 + 10.8786i 0.875545 + 0.483136i
\(508\) 6.03573 10.4542i 0.267792 0.463829i
\(509\) 29.2792 16.9043i 1.29778 0.749272i 0.317757 0.948172i \(-0.397070\pi\)
0.980020 + 0.198900i \(0.0637369\pi\)
\(510\) −23.4557 9.00741i −1.03863 0.398855i
\(511\) −0.193947 + 6.98046i −0.00857969 + 0.308798i
\(512\) −1.00000 −0.0441942
\(513\) 36.8280 + 23.9376i 1.62600 + 1.05687i
\(514\) 9.54939 16.5400i 0.421206 0.729550i
\(515\) 16.9085 29.2864i 0.745077 1.29051i
\(516\) 5.67400 0.897889i 0.249784 0.0395274i
\(517\) 17.4952i 0.769440i
\(518\) 18.7246 + 0.520247i 0.822711 + 0.0228583i
\(519\) 0.254185 0.661907i 0.0111575 0.0290545i
\(520\) 6.02522 + 6.91691i 0.264223 + 0.303326i
\(521\) 12.3261 21.3495i 0.540017 0.935338i −0.458885 0.888496i \(-0.651751\pi\)
0.998902 0.0468419i \(-0.0149157\pi\)
\(522\) −5.61502 17.2971i −0.245763 0.757074i
\(523\) −9.97765 + 5.76060i −0.436292 + 0.251893i −0.702024 0.712154i \(-0.747720\pi\)
0.265732 + 0.964047i \(0.414387\pi\)
\(524\) −17.2335 −0.752847
\(525\) −5.36174 + 4.09947i −0.234005 + 0.178916i
\(526\) 5.19445i 0.226489i
\(527\) −0.00750071 0.0129916i −0.000326736 0.000565923i
\(528\) 4.47948 + 5.53322i 0.194944 + 0.240803i
\(529\) −10.6447 + 18.4371i −0.462812 + 0.801614i
\(530\) −6.45636 11.1827i −0.280446 0.485747i
\(531\) 3.90288 4.33224i 0.169371 0.188003i
\(532\) −19.6717 + 10.6402i −0.852878 + 0.461313i
\(533\) −8.89530 + 1.73852i −0.385298 + 0.0753037i
\(534\) 1.03738 + 6.55548i 0.0448918 + 0.283683i
\(535\) 18.1510 31.4384i 0.784735 1.35920i
\(536\) 2.80901 + 1.62178i 0.121331 + 0.0700502i
\(537\) −6.40626 40.4829i −0.276451 1.74696i
\(538\) 6.20413 0.267479
\(539\) −12.9801 25.6774i −0.559094 1.10600i
\(540\) −5.99696 11.7815i −0.258068 0.506994i
\(541\) 15.5915 9.00176i 0.670331 0.387016i −0.125871 0.992047i \(-0.540173\pi\)
0.796202 + 0.605031i \(0.206839\pi\)
\(542\) 12.8489 22.2550i 0.551909 0.955935i
\(543\) −19.1494 + 15.5026i −0.821778 + 0.665279i
\(544\) 2.85089 + 4.93789i 0.122231 + 0.211710i
\(545\) −27.0877 −1.16031
\(546\) 15.6726 5.23163i 0.670725 0.223893i
\(547\) −31.6765 −1.35439 −0.677194 0.735804i \(-0.736804\pi\)
−0.677194 + 0.735804i \(0.736804\pi\)
\(548\) −6.52427 11.3004i −0.278703 0.482728i
\(549\) −3.37534 10.3978i −0.144056 0.443765i
\(550\) 3.02685 5.24266i 0.129065 0.223548i
\(551\) −44.3770 + 25.6211i −1.89052 + 1.09149i
\(552\) −2.11481 0.812125i −0.0900121 0.0345663i
\(553\) −31.9055 19.6219i −1.35676 0.834407i
\(554\) −24.3161 −1.03309
\(555\) 30.8154 4.87642i 1.30804 0.206992i
\(556\) −0.539835 0.311674i −0.0228941 0.0132179i
\(557\) 14.7789 25.5978i 0.626201 1.08461i −0.362106 0.932137i \(-0.617942\pi\)
0.988307 0.152475i \(-0.0487244\pi\)
\(558\) 0.00164313 0.00772009i 6.95593e−5 0.000326817i
\(559\) 2.29377 + 11.7363i 0.0970163 + 0.496392i
\(560\) 6.72866 + 0.186950i 0.284338 + 0.00790009i
\(561\) 14.5519 37.8938i 0.614383 1.59988i
\(562\) 11.3607 + 19.6774i 0.479224 + 0.830040i
\(563\) 11.5996 20.0912i 0.488866 0.846741i −0.511052 0.859550i \(-0.670744\pi\)
0.999918 + 0.0128088i \(0.00407729\pi\)
\(564\) −5.73011 + 4.63887i −0.241281 + 0.195332i
\(565\) −1.08671 1.88224i −0.0457182 0.0791863i
\(566\) 19.1931i 0.806747i
\(567\) −23.7423 + 1.81753i −0.997083 + 0.0763292i
\(568\) −6.68865 −0.280650
\(569\) −15.1314 + 8.73610i −0.634340 + 0.366236i −0.782431 0.622738i \(-0.786020\pi\)
0.148091 + 0.988974i \(0.452687\pi\)
\(570\) −28.9519 + 23.4383i −1.21266 + 0.981724i
\(571\) 4.98953 8.64212i 0.208805 0.361662i −0.742533 0.669809i \(-0.766376\pi\)
0.951339 + 0.308148i \(0.0997091\pi\)
\(572\) −11.1746 + 9.73404i −0.467234 + 0.407001i
\(573\) −25.8782 9.93770i −1.08108 0.415153i
\(574\) −3.48412 + 5.66523i −0.145424 + 0.236462i
\(575\) 1.92634i 0.0803341i
\(576\) −0.624526 + 2.93427i −0.0260219 + 0.122261i
\(577\) 8.91246 15.4368i 0.371031 0.642644i −0.618694 0.785632i \(-0.712338\pi\)
0.989724 + 0.142988i \(0.0456712\pi\)
\(578\) 7.75517 13.4323i 0.322572 0.558712i
\(579\) 4.59052 + 29.0087i 0.190776 + 1.20556i
\(580\) 15.4225 0.640385
\(581\) −14.0097 25.9012i −0.581219 1.07456i
\(582\) 2.42962 6.32682i 0.100711 0.262255i
\(583\) 18.0663 10.4306i 0.748229 0.431990i
\(584\) 1.31969 2.28578i 0.0546093 0.0945860i
\(585\) 24.0590 13.3598i 0.994717 0.552362i
\(586\) 10.1638 5.86808i 0.419863 0.242408i
\(587\) 47.7903i 1.97252i 0.165206 + 0.986259i \(0.447171\pi\)
−0.165206 + 0.986259i \(0.552829\pi\)
\(588\) 4.96826 11.0597i 0.204888 0.456093i
\(589\) −0.0222403 −0.000916396
\(590\) 2.47253 + 4.28254i 0.101792 + 0.176309i
\(591\) −2.79611 3.45386i −0.115017 0.142073i
\(592\) −6.13142 3.53998i −0.252000 0.145492i
\(593\) −8.78037 + 5.06935i −0.360566 + 0.208173i −0.669329 0.742966i \(-0.733418\pi\)
0.308763 + 0.951139i \(0.400085\pi\)
\(594\) 19.0335 9.68838i 0.780956 0.397519i
\(595\) −18.2595 33.7584i −0.748568 1.38396i
\(596\) 1.97237 0.0807916
\(597\) −5.86025 37.0325i −0.239844 1.51564i
\(598\) 1.53074 4.46042i 0.0625966 0.182400i
\(599\) 10.0365 + 5.79458i 0.410081 + 0.236760i 0.690824 0.723023i \(-0.257248\pi\)
−0.280744 + 0.959783i \(0.590581\pi\)
\(600\) 2.51967 0.398728i 0.102865 0.0162780i
\(601\) 4.44714i 0.181403i 0.995878 + 0.0907013i \(0.0289109\pi\)
−0.995878 + 0.0907013i \(0.971089\pi\)
\(602\) 7.47461 + 4.59688i 0.304642 + 0.187355i
\(603\) 6.51304 7.22955i 0.265232 0.294410i
\(604\) −8.14145 + 4.70047i −0.331271 + 0.191259i
\(605\) 12.9866 + 7.49782i 0.527981 + 0.304830i
\(606\) −16.8879 20.8605i −0.686022 0.847400i
\(607\) 5.35667 3.09268i 0.217421 0.125528i −0.387335 0.921939i \(-0.626604\pi\)
0.604755 + 0.796411i \(0.293271\pi\)
\(608\) 8.45317 0.342821
\(609\) 10.6750 25.6461i 0.432574 1.03923i
\(610\) 9.27088 0.375367
\(611\) −10.0804 11.5722i −0.407810 0.468162i
\(612\) 16.2696 5.28146i 0.657659 0.213490i
\(613\) −19.9940 11.5435i −0.807549 0.466239i 0.0385548 0.999256i \(-0.487725\pi\)
−0.846104 + 0.533018i \(0.821058\pi\)
\(614\) 13.6204 + 23.5912i 0.549674 + 0.952064i
\(615\) −3.97117 + 10.3411i −0.160133 + 0.416993i
\(616\) −0.302028 + 10.8705i −0.0121690 + 0.437984i
\(617\) −14.5000 −0.583749 −0.291874 0.956457i \(-0.594279\pi\)
−0.291874 + 0.956457i \(0.594279\pi\)
\(618\) 3.59841 + 22.7393i 0.144749 + 0.914709i
\(619\) −11.4323 + 19.8013i −0.459503 + 0.795882i −0.998935 0.0461472i \(-0.985306\pi\)
0.539432 + 0.842029i \(0.318639\pi\)
\(620\) 0.00579695 + 0.00334687i 0.000232811 + 0.000134414i
\(621\) −3.70375 + 5.69823i −0.148626 + 0.228662i
\(622\) 2.91981 0.117074
\(623\) −5.31103 + 8.63582i −0.212782 + 0.345987i
\(624\) −6.15108 1.07897i −0.246240 0.0431932i
\(625\) 15.0975 + 26.1496i 0.603899 + 1.04598i
\(626\) 5.81374 + 3.35656i 0.232364 + 0.134155i
\(627\) −37.8658 46.7733i −1.51221 1.86794i
\(628\) −6.32327 + 3.65074i −0.252326 + 0.145681i
\(629\) 40.3684i 1.60959i
\(630\) 4.75079 19.6270i 0.189276 0.781958i
\(631\) 10.1877i 0.405568i −0.979224 0.202784i \(-0.935001\pi\)
0.979224 0.202784i \(-0.0649989\pi\)
\(632\) 7.07859 + 12.2605i 0.281571 + 0.487696i
\(633\) 7.63662 + 9.43304i 0.303529 + 0.374930i
\(634\) 7.72251 13.3758i 0.306700 0.531220i
\(635\) 26.5973 15.3559i 1.05548 0.609382i
\(636\) 8.20655 + 3.15147i 0.325411 + 0.124964i
\(637\) 23.3805 + 9.50541i 0.926369 + 0.376618i
\(638\) 24.9158i 0.986427i
\(639\) −4.17724 + 19.6263i −0.165249 + 0.776406i
\(640\) −2.20332 1.27209i −0.0870939 0.0502837i
\(641\) 24.5592 + 14.1793i 0.970030 + 0.560047i 0.899245 0.437445i \(-0.144116\pi\)
0.0707844 + 0.997492i \(0.477450\pi\)
\(642\) 3.86283 + 24.4103i 0.152454 + 0.963396i
\(643\) 7.46124 0.294243 0.147121 0.989118i \(-0.452999\pi\)
0.147121 + 0.989118i \(0.452999\pi\)
\(644\) −1.64631 3.04372i −0.0648739 0.119939i
\(645\) 13.6438 + 5.23949i 0.537226 + 0.206305i
\(646\) −24.0991 41.7408i −0.948165 1.64227i
\(647\) −12.5324 + 21.7068i −0.492701 + 0.853382i −0.999965 0.00840826i \(-0.997324\pi\)
0.507264 + 0.861791i \(0.330657\pi\)
\(648\) 8.21993 + 3.66506i 0.322910 + 0.143977i
\(649\) −6.91866 + 3.99449i −0.271581 + 0.156797i
\(650\) 1.01860 + 5.21177i 0.0399529 + 0.204422i
\(651\) 0.00957798 0.00732312i 0.000375391 0.000287016i
\(652\) 15.1308i 0.592568i
\(653\) −9.06026 + 5.23094i −0.354555 + 0.204703i −0.666690 0.745335i \(-0.732289\pi\)
0.312134 + 0.950038i \(0.398956\pi\)
\(654\) 14.3329 11.6034i 0.560463 0.453729i
\(655\) −37.9708 21.9225i −1.48364 0.856582i
\(656\) 2.17701 1.25689i 0.0849978 0.0490735i
\(657\) −5.88291 5.29987i −0.229514 0.206768i
\(658\) −11.2573 0.312775i −0.438855 0.0121932i
\(659\) 24.8852i 0.969389i 0.874684 + 0.484694i \(0.161069\pi\)
−0.874684 + 0.484694i \(0.838931\pi\)
\(660\) 2.83099 + 17.8898i 0.110196 + 0.696358i
\(661\) −24.9458 + 43.2074i −0.970280 + 1.68057i −0.275574 + 0.961280i \(0.588868\pi\)
−0.694706 + 0.719294i \(0.744465\pi\)
\(662\) −4.14357 2.39229i −0.161044 0.0929790i
\(663\) 12.2083 + 33.4494i 0.474130 + 1.29907i
\(664\) 11.1300i 0.431929i
\(665\) −56.8785 1.58032i −2.20565 0.0612823i
\(666\) −14.2165 + 15.7805i −0.550878 + 0.611481i
\(667\) −3.96423 6.86624i −0.153496 0.265862i
\(668\) 21.0214 + 12.1367i 0.813343 + 0.469584i
\(669\) 23.0589 + 28.4832i 0.891509 + 1.10123i
\(670\) 4.12609 + 7.14660i 0.159405 + 0.276097i
\(671\) 14.9776i 0.578203i
\(672\) −3.64043 + 2.78339i −0.140433 + 0.107372i
\(673\) 14.9301 0.575513 0.287756 0.957704i \(-0.407091\pi\)
0.287756 + 0.957704i \(0.407091\pi\)
\(674\) 13.3247 + 23.0791i 0.513249 + 0.888973i
\(675\) 0.403621 7.64241i 0.0155354 0.294156i
\(676\) 1.78289 12.8772i 0.0685728 0.495275i
\(677\) 17.9807 + 31.1435i 0.691056 + 1.19694i 0.971492 + 0.237071i \(0.0761874\pi\)
−0.280437 + 0.959873i \(0.590479\pi\)
\(678\) 1.38129 + 0.530443i 0.0530483 + 0.0203715i
\(679\) 9.10582 4.92524i 0.349449 0.189013i
\(680\) 14.5063i 0.556293i
\(681\) −3.64569 23.0381i −0.139703 0.882821i
\(682\) −0.00540703 + 0.00936526i −0.000207046 + 0.000358614i
\(683\) 13.5825 23.5256i 0.519721 0.900184i −0.480016 0.877260i \(-0.659369\pi\)
0.999737 0.0229240i \(-0.00729756\pi\)
\(684\) 5.27922 24.8039i 0.201856 0.948401i
\(685\) 33.1978i 1.26842i
\(686\) 16.7541 7.89299i 0.639675 0.301356i
\(687\) −1.39932 + 3.64389i −0.0533874 + 0.139023i
\(688\) −1.65832 2.87230i −0.0632230 0.109505i
\(689\) −5.94006 + 17.3087i −0.226298 + 0.659410i
\(690\) −3.62650 4.47959i −0.138059 0.170535i
\(691\) −15.9012 27.5418i −0.604912 1.04774i −0.992065 0.125723i \(-0.959875\pi\)
0.387153 0.922015i \(-0.373458\pi\)
\(692\) −0.409361 −0.0155616
\(693\) 31.7084 + 7.67514i 1.20450 + 0.291554i
\(694\) 6.30342i 0.239275i
\(695\) −0.792954 1.37344i −0.0300785 0.0520974i
\(696\) −8.16053 + 6.60645i −0.309324 + 0.250417i
\(697\) −12.4128 7.16654i −0.470169 0.271452i
\(698\) −4.76413 8.25172i −0.180325 0.312332i
\(699\) 2.10795 + 0.809493i 0.0797301 + 0.0306178i
\(700\) 3.31927 + 2.04135i 0.125457 + 0.0771557i
\(701\) 24.3611i 0.920107i −0.887891 0.460053i \(-0.847830\pi\)
0.887891 0.460053i \(-0.152170\pi\)
\(702\) −7.00749 + 17.3751i −0.264481 + 0.655782i
\(703\) 51.8299 + 29.9240i 1.95480 + 1.12861i
\(704\) 2.05512 3.55958i 0.0774553 0.134157i
\(705\) −18.5263 + 2.93172i −0.697742 + 0.110415i
\(706\) 16.6016i 0.624811i
\(707\) 1.13866 40.9822i 0.0428236 1.54130i
\(708\) −3.14278 1.20688i −0.118113 0.0453575i
\(709\) −37.1207 + 21.4317i −1.39410 + 0.804883i −0.993766 0.111487i \(-0.964439\pi\)
−0.400332 + 0.916370i \(0.631105\pi\)
\(710\) −14.7373 8.50856i −0.553079 0.319320i
\(711\) 40.3964 13.1135i 1.51498 0.491796i
\(712\) 3.31853 1.91595i 0.124367 0.0718034i
\(713\) 0.00344114i 0.000128872i
\(714\) 24.1226 + 10.0409i 0.902764 + 0.375770i
\(715\) −37.0038 + 7.23213i −1.38386 + 0.270466i
\(716\) −20.4933 + 11.8318i −0.765871 + 0.442176i
\(717\) −3.81575 4.71336i −0.142502 0.176023i
\(718\) 8.18866 14.1832i 0.305598 0.529311i
\(719\) 14.3834 + 24.9128i 0.536410 + 0.929090i 0.999094 + 0.0425664i \(0.0135534\pi\)
−0.462683 + 0.886524i \(0.653113\pi\)
\(720\) −5.10869 + 5.67070i −0.190390 + 0.211334i
\(721\) −18.4226 + 29.9555i −0.686094 + 1.11560i
\(722\) −52.4560 −1.95221
\(723\) 22.5728 3.57206i 0.839491 0.132846i
\(724\) 12.3190 + 7.11236i 0.457831 + 0.264329i
\(725\) 7.73200 + 4.46407i 0.287159 + 0.165791i
\(726\) −10.0834 + 1.59566i −0.374231 + 0.0592206i
\(727\) 9.23311i 0.342437i 0.985233 + 0.171219i \(0.0547704\pi\)
−0.985233 + 0.171219i \(0.945230\pi\)
\(728\) −6.06358 7.36431i −0.224731 0.272939i
\(729\) 15.8879 21.8306i 0.588439 0.808541i
\(730\) 5.81541 3.35753i 0.215238 0.124268i
\(731\) −9.45541 + 16.3772i −0.349721 + 0.605734i
\(732\) −4.90551 + 3.97131i −0.181313 + 0.146784i
\(733\) −19.7916 34.2800i −0.731018 1.26616i −0.956449 0.291901i \(-0.905712\pi\)
0.225431 0.974259i \(-0.427621\pi\)
\(734\) 31.1600i 1.15014i
\(735\) 25.0156 18.0479i 0.922713 0.665708i
\(736\) 1.30792i 0.0482105i
\(737\) −11.5457 + 6.66591i −0.425291 + 0.245542i
\(738\) −2.32848 7.17289i −0.0857124 0.264038i
\(739\) 25.0159 + 14.4429i 0.920224 + 0.531291i 0.883706 0.468042i \(-0.155040\pi\)
0.0365171 + 0.999333i \(0.488374\pi\)
\(740\) −9.00633 15.5994i −0.331079 0.573446i
\(741\) 51.9961 + 9.12068i 1.91013 + 0.335056i
\(742\) 6.38855 + 11.8112i 0.234531 + 0.433603i
\(743\) −14.2072 −0.521211 −0.260605 0.965445i \(-0.583922\pi\)
−0.260605 + 0.965445i \(0.583922\pi\)
\(744\) −0.00450102 0.000712270i −0.000165016 2.61131e-5i
\(745\) 4.34577 + 2.50903i 0.159217 + 0.0919238i
\(746\) 11.8848 20.5851i 0.435133 0.753673i
\(747\) 32.6585 + 6.95099i 1.19491 + 0.254323i
\(748\) −23.4357 −0.856895
\(749\) −19.7764 + 32.1567i −0.722613 + 1.17498i
\(750\) −14.5099 5.57206i −0.529825 0.203463i
\(751\) −8.05134 13.9453i −0.293798 0.508873i 0.680907 0.732370i \(-0.261586\pi\)
−0.974704 + 0.223498i \(0.928253\pi\)
\(752\) 3.68624 + 2.12825i 0.134423 + 0.0776093i
\(753\) 30.9902 + 38.2803i 1.12935 + 1.39501i
\(754\) −14.3560 16.4806i −0.522815 0.600187i
\(755\) −23.9176 −0.870452
\(756\) 5.89370 + 12.4203i 0.214352 + 0.451723i
\(757\) 24.7260 0.898684 0.449342 0.893360i \(-0.351659\pi\)
0.449342 + 0.893360i \(0.351659\pi\)
\(758\) 5.09123 2.93942i 0.184922 0.106765i
\(759\) 7.23701 5.85880i 0.262687 0.212661i
\(760\) 18.6250 + 10.7532i 0.675601 + 0.390059i
\(761\) 2.32242 1.34085i 0.0841876 0.0486057i −0.457315 0.889305i \(-0.651189\pi\)
0.541503 + 0.840699i \(0.317856\pi\)
\(762\) −7.49552 + 19.5186i −0.271534 + 0.707085i
\(763\) 28.1583 + 0.782355i 1.01940 + 0.0283232i
\(764\) 16.0046i 0.579024i
\(765\) 42.5656 + 9.05959i 1.53896 + 0.327550i
\(766\) −12.8839 7.43851i −0.465514 0.268764i
\(767\) 2.27480 6.62854i 0.0821384 0.239343i
\(768\) 1.71076 0.270722i 0.0617318 0.00976883i
\(769\) 39.1298 1.41106 0.705528 0.708682i \(-0.250710\pi\)
0.705528 + 0.708682i \(0.250710\pi\)
\(770\) −14.4937 + 23.5670i −0.522316 + 0.849295i
\(771\) −11.8590 + 30.8813i −0.427091 + 1.11216i
\(772\) 14.6848 8.47830i 0.528519 0.305141i
\(773\) 24.0664 + 13.8947i 0.865607 + 0.499758i 0.865886 0.500242i \(-0.166756\pi\)
−0.000279226 1.00000i \(0.500089\pi\)
\(774\) −9.46379 + 3.07215i −0.340169 + 0.110426i
\(775\) 0.00193751