Properties

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

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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.a.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} +(3.41032 - 1.17036i) 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} +(5.51740 - 2.92546i) 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} +(-2.71872 - 2.36824i) 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} +(2.97761 + 8.67644i) 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} +(-5.29222 - 3.31548i) 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} +(-2.84470 - 9.10537i) 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 0.0814725 0.996676i \(-0.474038\pi\)
0.903883 + 0.427781i \(0.140704\pi\)
\(6\) −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 \(0.379389\pi\)
−0.989551 + 0.144184i \(0.953944\pi\)
\(12\) 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 \(-0.745296\pi\)
−0.273064 0.961996i \(-0.588037\pi\)
\(20\) 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
\(26\) 3.41032 1.17036i 0.668818 0.229527i
\(27\) 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 −0.865907 0.500205i \(-0.833258\pi\)
0.866144 + 0.499795i \(0.166591\pi\)
\(32\) −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 −0.910605 0.413277i \(-0.864384\pi\)
−0.0973943 + 0.995246i \(0.531051\pi\)
\(38\) −4.22658 + 7.32066i −0.685642 + 1.18757i
\(39\) 5.51740 2.92546i 0.883491 0.468448i
\(40\) 2.20332 1.27209i 0.348376 0.201135i
\(41\) 2.51379i 0.392588i −0.980545 0.196294i \(-0.937109\pi\)
0.980545 0.196294i \(-0.0628907\pi\)
\(42\) −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 −0.206451 0.978457i \(-0.566191\pi\)
0.744143 + 0.668020i \(0.232858\pi\)
\(48\) −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
\(52\) −2.71872 2.36824i −0.377019 0.328416i
\(53\) 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 0.605554 0.795805i \(-0.292952\pi\)
−0.386410 + 0.922327i \(0.626285\pi\)
\(60\) 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
\(65\) 2.97761 + 8.67644i 0.369327 + 1.07618i
\(66\) −4.47948 5.53322i −0.551386 0.681093i
\(67\) 2.80901 + 1.62178i 0.343175 + 0.198132i 0.661675 0.749791i \(-0.269846\pi\)
−0.318500 + 0.947923i \(0.603179\pi\)
\(68\) −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 \(-0.629914\pi\)
−0.396899 + 0.917862i \(0.629914\pi\)
\(72\) −0.624526 + 2.93427i −0.0736011 + 0.345808i
\(73\) 1.31969 2.28578i 0.154458 0.267530i −0.778403 0.627765i \(-0.783970\pi\)
0.932862 + 0.360235i \(0.117303\pi\)
\(74\) 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
\(78\) −5.29222 3.31548i −0.599226 0.375404i
\(79\) −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 \(0.209168\pi\)
−0.791755 + 0.610839i \(0.790832\pi\)
\(84\) −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 −0.313698 0.949523i \(-0.601568\pi\)
0.665462 + 0.746432i \(0.268235\pi\)
\(90\) 5.10869 5.67070i 0.538503 0.597744i
\(91\) −2.84470 9.10537i −0.298205 0.954502i
\(92\) 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 \(-0.563654\pi\)
−0.198646 + 0.980071i \(0.563654\pi\)
\(98\) −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 −0.0114648 0.999934i \(-0.503649\pi\)
−0.871701 + 0.490038i \(0.836983\pi\)
\(110\) 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
\(117\) −9.95131 4.23928i −0.919999 0.391921i
\(118\) 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
\(130\) 6.02522 6.91691i 0.528446 0.606653i
\(131\) 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 \(-0.645130\pi\)
0.997712 0.0676081i \(-0.0215367\pi\)
\(138\) −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
\(143\) −11.1746 9.73404i −0.934468 0.814001i
\(144\) 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 0.903590 0.428398i \(-0.140922\pi\)
−0.822799 + 0.568333i \(0.807589\pi\)
\(150\) 1.60514 + 1.98273i 0.131059 + 0.161889i
\(151\) −8.14145 4.70047i −0.662542 0.382519i 0.130703 0.991422i \(-0.458277\pi\)
−0.793245 + 0.608903i \(0.791610\pi\)
\(152\) −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
\(156\) −0.225177 + 6.24094i −0.0180286 + 0.499675i
\(157\) 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 −0.915939 0.401317i \(-0.868552\pi\)
−0.110418 + 0.993885i \(0.535219\pi\)
\(164\) 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 \(0.388402\pi\)
−0.343458 + 0.939168i \(0.611598\pi\)
\(168\) 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 \(-0.177304\pi\)
\(182\) −6.46313 + 7.01626i −0.479079 + 0.520080i
\(183\) 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 0.924611 0.380912i \(-0.124390\pi\)
0.132427 + 0.991193i \(0.457723\pi\)
\(194\) 1.95644 + 3.38865i 0.140464 + 0.243291i
\(195\) 8.43516 13.4643i 0.604054 0.964202i
\(196\) 3.15799 + 6.24716i 0.225571 + 0.446226i
\(197\) −2.56563 −0.182794 −0.0913969 0.995815i \(-0.529133\pi\)
−0.0913969 + 0.995815i \(0.529133\pi\)
\(198\) −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
\(208\) 3.41032 1.17036i 0.236463 0.0811500i
\(209\) 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
\(221\) −15.5016 13.5032i −1.04275 0.908322i
\(222\) −1.91670 12.1121i −0.128640 0.812913i
\(223\) 21.1582 1.41686 0.708429 0.705782i \(-0.249404\pi\)
0.708429 + 0.705782i \(0.249404\pi\)
\(224\) 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 0.0602614 0.998183i \(-0.480807\pi\)
−0.834321 + 0.551279i \(0.814140\pi\)
\(228\) −9.21254 11.3797i −0.610116 0.753638i
\(229\) 1.12680 + 1.95167i 0.0744607 + 0.128970i 0.900852 0.434127i \(-0.142943\pi\)
−0.826391 + 0.563097i \(0.809610\pi\)
\(230\) 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 \(0.346930\pi\)
\(234\) 1.30433 + 10.7377i 0.0852669 + 0.701947i
\(235\) 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 \(-0.536122\pi\)
−0.113238 + 0.993568i \(0.536122\pi\)
\(240\) 0.688764 + 4.35248i 0.0444595 + 0.280952i
\(241\) 6.59729 11.4268i 0.424969 0.736067i −0.571449 0.820638i \(-0.693618\pi\)
0.996418 + 0.0845704i \(0.0269518\pi\)
\(242\) −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
\(247\) 28.8280 9.89327i 1.83428 0.629494i
\(248\) 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 \(0.118378\pi\)
−0.151123 + 0.988515i \(0.548289\pi\)
\(272\) 5.70178 0.345721
\(273\) −9.15743 + 13.7529i −0.554233 + 0.832362i
\(274\) −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 \(-0.737034\pi\)
−0.677724 + 0.735316i \(0.737034\pi\)
\(282\) 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 \(0.111381\pi\)
−0.939402 + 0.342817i \(0.888619\pi\)
\(294\) 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
\(299\) −1.53074 4.46042i −0.0885249 0.257952i
\(300\) 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 \(-0.783440\pi\)
−0.777357 + 0.629060i \(0.783440\pi\)
\(308\) 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 \(0.140286\pi\)
\(312\) 5.51740 2.92546i 0.312361 0.165622i
\(313\) 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 0.997192 0.0748897i \(-0.0238605\pi\)
−0.563452 + 0.826149i \(0.690527\pi\)
\(318\) −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
\(325\) 4.00422 + 3.48802i 0.222114 + 0.193480i
\(326\) 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 −0.381783 0.924252i \(-0.624690\pi\)
0.609534 + 0.792760i \(0.291357\pi\)
\(332\) −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 \(0.241450\pi\)
\(338\) 1.78289 + 12.8772i 0.0969765 + 0.700425i
\(339\) 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 \(-0.417919\pi\)
0.255018 + 0.966936i \(0.417919\pi\)
\(350\) 3.42749 1.85390i 0.183207 0.0990949i
\(351\) 5.13834 + 18.0166i 0.274264 + 0.961654i
\(352\) −2.05512 3.55958i −0.109538 0.189726i
\(353\) 14.3774 + 8.30082i 0.765234 + 0.441808i 0.831172 0.556016i \(-0.187671\pi\)
−0.0659376 + 0.997824i \(0.521004\pi\)
\(354\) −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 0.997061 0.0766138i \(-0.0244109\pi\)
−0.564880 + 0.825173i \(0.691078\pi\)
\(360\) 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
\(364\) 9.30783 + 2.08910i 0.487863 + 0.109499i
\(365\) 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 \(0.0482455\pi\)
−0.988536 + 0.150988i \(0.951755\pi\)
\(380\) 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 −0.133307 0.991075i \(-0.542560\pi\)
0.791643 + 0.610985i \(0.209226\pi\)
\(384\) −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 \(0.378734\pi\)
\(390\) −15.8780 0.572890i −0.804016 0.0290094i
\(391\) 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 0.630777 0.775964i \(-0.282736\pi\)
−0.987393 + 0.158287i \(0.949403\pi\)
\(398\) 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 \(-0.759167\pi\)
−0.230899 0.972978i \(-0.574167\pi\)
\(402\) −4.36649 + 3.53494i −0.217781 + 0.176307i
\(403\) 0.00715297 + 0.00623085i 0.000356315 + 0.000310381i
\(404\) 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 −0.809672 0.586882i \(-0.800355\pi\)
0.913091 + 0.407755i \(0.133688\pi\)
\(410\) −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
\(416\) −2.71872 2.36824i −0.133296 0.116112i
\(417\) 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 \(0.0551135\pi\)
−0.985048 + 0.172280i \(0.944887\pi\)
\(422\) 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
\(429\) −0.925532 + 25.6518i −0.0446851 + 1.23848i
\(430\) −7.30764 4.21907i −0.352406 0.203462i
\(431\) −1.83652 + 3.18094i −0.0884620 + 0.153221i −0.906861 0.421429i \(-0.861529\pi\)
0.818399 + 0.574650i \(0.194862\pi\)
\(432\) −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 \(-0.470315\pi\)
0.0931240 + 0.995655i \(0.470315\pi\)
\(450\) 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
\(455\) −17.8506 16.4433i −0.836850 0.770876i
\(456\) −5.24882 + 13.6681i −0.245799 + 0.640069i
\(457\) −0.843279 + 0.486868i −0.0394469 + 0.0227747i −0.519594 0.854413i \(-0.673917\pi\)
0.480147 + 0.877188i \(0.340583\pi\)
\(458\) 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 \(0.0764052\pi\)
−0.971330 + 0.237736i \(0.923595\pi\)
\(462\) 17.3892 + 7.23816i 0.809020 + 0.336750i
\(463\) 11.4435i 0.531824i 0.963997 + 0.265912i \(0.0856731\pi\)
−0.963997 + 0.265912i \(0.914327\pi\)
\(464\) 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 \(-0.369553\pi\)
\(468\) 8.64697 6.49845i 0.399707 0.300391i
\(469\) −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 −0.287160 0.957883i \(-0.592711\pi\)
−0.973131 + 0.230254i \(0.926044\pi\)
\(480\) 3.42498 2.77273i 0.156328 0.126557i
\(481\) −8.28612 24.1449i −0.377814 1.10091i
\(482\) −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 0.847252 0.531190i \(-0.178255\pi\)
−0.0363981 + 0.999337i \(0.511588\pi\)
\(488\) −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
\(494\) −22.9818 20.0191i −1.03400 0.900703i
\(495\) −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 −0.787447 0.616382i \(-0.788598\pi\)
0.140079 + 0.990140i \(0.455264\pi\)
\(500\) −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
\(507\) 6.53623 + 21.5471i 0.290284 + 0.956940i
\(508\) 6.03573 10.4542i 0.267792 0.463829i
\(509\) −29.2792 + 16.9043i −1.29778 + 0.749272i −0.980020 0.198900i \(-0.936263\pi\)
−0.317757 + 0.948172i \(0.602930\pi\)
\(510\) −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
\(520\) 2.97761 + 8.67644i 0.130577 + 0.380487i
\(521\) 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 −0.796202 0.605031i \(-0.793161\pi\)
0.125871 + 0.992047i \(0.459827\pi\)
\(542\) 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
\(546\) 16.4891 + 1.05413i 0.705666 + 0.0451125i
\(547\) −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 \(0.382058\pi\)
−0.988307 + 0.152475i \(0.951276\pi\)
\(558\) 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 \(0.0997091\pi\)
\(572\) 14.0172 4.81047i 0.586090 0.201136i
\(573\) −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 −0.989724 0.142988i \(-0.954329\pi\)
0.618694 + 0.785632i \(0.287662\pi\)
\(578\) −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
\(585\) −27.3187 + 3.31845i −1.12949 + 0.137201i
\(586\) 10.1638 5.86808i 0.419863 0.242408i
\(587\) 47.7903i 1.97252i −0.165206 0.986259i \(-0.552829\pi\)
0.165206 0.986259i \(-0.447171\pi\)
\(588\) 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 −0.308763 0.951139i \(-0.599915\pi\)
0.669329 + 0.742966i \(0.266582\pi\)
\(594\) 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
\(598\) −3.09746 + 3.55587i −0.126665 + 0.145410i
\(599\) 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
\(611\) 4.98165 + 14.5160i 0.201536 + 0.587255i
\(612\) 16.2696 5.28146i 0.657659 0.213490i
\(613\) 19.9940 + 11.5435i 0.807549 + 0.466239i 0.846104 0.533018i \(-0.178942\pi\)
−0.0385548 + 0.999256i \(0.512275\pi\)
\(614\) 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 \(-0.405721\pi\)
0.291874 + 0.956457i \(0.405721\pi\)
\(618\) −3.59841 22.7393i −0.144749 0.914709i
\(619\) 11.4323 19.8013i 0.459503 0.795882i −0.539432 0.842029i \(-0.681361\pi\)
0.998935 + 0.0461472i \(0.0146943\pi\)
\(620\) 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
\(624\) −5.29222 3.31548i −0.211858 0.132725i
\(625\) 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 \(0.0649989\pi\)
−0.979224 + 0.202784i \(0.935001\pi\)
\(632\) −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
\(637\) 18.0812 + 17.6088i 0.716403 + 0.697686i
\(638\) 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 \(-0.547001\pi\)
−0.147121 + 0.989118i \(0.547001\pi\)
\(644\) 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 \(-0.411132\pi\)
0.694706 0.719294i \(-0.255535\pi\)
\(662\) −4.14357 2.39229i −0.161044 0.0929790i
\(663\) −1.28391 + 35.5845i −0.0498630 + 1.38199i
\(664\) 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
\(676\) 10.2605 7.98261i 0.394635 0.307023i
\(677\) 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 \(0.340631\pi\)
−0.999737 + 0.0229240i \(0.992702\pi\)
\(684\) −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
\(689\) −12.0198 + 13.7986i −0.457917 + 0.525685i
\(690\) −3.62650 4.47959i −0.138059 0.170535i
\(691\) 15.9012 + 27.5418i 0.604912 + 1.04774i 0.992065 + 0.125723i \(0.0401251\pi\)
−0.387153 + 0.922015i \(0.626542\pi\)
\(692\) −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 \(-0.152170\pi\)
\(702\) 13.0337 13.4582i 0.491924 0.507948i
\(703\) 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 0.400332 0.916370i \(-0.368895\pi\)
0.993766 + 0.111487i \(0.0355613\pi\)
\(710\) 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 \(0.945230\pi\)
\(728\) −2.84470 9.10537i −0.105432 0.337467i
\(729\) 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 \(0.0942878\pi\)
−0.225431 + 0.974259i \(0.572379\pi\)
\(734\) 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 −0.0365171 0.999333i \(-0.511626\pi\)
−0.883706 + 0.468042i \(0.844960\pi\)
\(740\) −9.00633 15.5994i −0.331079 0.573446i
\(741\) −44.7360 28.0263i −1.64342 1.02957i
\(742\) 6.38855 + 11.8112i 0.234531 + 0.433603i
\(743\) 14.2072 0.521211 0.260605 0.965445i \(-0.416078\pi\)
0.260605 + 0.965445i \(0.416078\pi\)
\(744\) −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
\(754\) 7.09461 + 20.6729i 0.258370 + 0.752864i
\(755\) −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 −0.541503 0.840699i \(-0.682144\pi\)
0.457315 + 0.889305i \(0.348811\pi\)
\(762\) 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
\(767\) −4.60309 + 5.28431i −0.166208 + 0.190805i
\(768\) 1.71076 0.270722i 0.0617318 0.00976883i
\(769\) −39.1298 −1.41106 −0.705528 0.708682i \(-0.749290\pi\)
−0.705528 + 0.708682i \(0.749290\pi\)
\(770\) −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 0.000279226 1.00000i \(-0.499911\pi\)
−0.865886 + 0.500242i \(0.833244\pi\)
\(774\) 9.46379 3.07215i 0.340169 0.110426i