Properties

Label 462.2.bc.b.107.1
Level $462$
Weight $2$
Character 462.107
Analytic conductor $3.689$
Analytic rank $0$
Dimension $128$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 462.bc (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.68908857338\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(16\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 107.1
Character \(\chi\) \(=\) 462.107
Dual form 462.2.bc.b.95.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.104528 - 0.994522i) q^{2} +(-1.72793 + 0.119419i) q^{3} +(-0.978148 + 0.207912i) q^{4} +(-1.30191 - 2.92414i) q^{5} +(0.299383 + 1.70598i) q^{6} +(-2.04556 - 1.67800i) q^{7} +(0.309017 + 0.951057i) q^{8} +(2.97148 - 0.412695i) q^{9} +O(q^{10})\) \(q+(-0.104528 - 0.994522i) q^{2} +(-1.72793 + 0.119419i) q^{3} +(-0.978148 + 0.207912i) q^{4} +(-1.30191 - 2.92414i) q^{5} +(0.299383 + 1.70598i) q^{6} +(-2.04556 - 1.67800i) q^{7} +(0.309017 + 0.951057i) q^{8} +(2.97148 - 0.412695i) q^{9} +(-2.77204 + 1.60044i) q^{10} +(0.980906 - 3.16825i) q^{11} +(1.66534 - 0.476066i) q^{12} +(-0.203849 - 0.280574i) q^{13} +(-1.45499 + 2.20975i) q^{14} +(2.59881 + 4.89724i) q^{15} +(0.913545 - 0.406737i) q^{16} +(-0.764996 + 7.27845i) q^{17} +(-0.721038 - 2.91206i) q^{18} +(-1.45757 + 6.85733i) q^{19} +(1.88143 + 2.58956i) q^{20} +(3.73497 + 2.65518i) q^{21} +(-3.25343 - 0.644360i) q^{22} +(-6.50747 - 3.75709i) q^{23} +(-0.647534 - 1.60646i) q^{24} +(-3.50999 + 3.89823i) q^{25} +(-0.257729 + 0.232060i) q^{26} +(-5.08522 + 1.06796i) q^{27} +(2.34974 + 1.21603i) q^{28} +(0.673371 - 2.07242i) q^{29} +(4.59876 - 3.09648i) q^{30} +(-0.996173 - 0.443525i) q^{31} +(-0.500000 - 0.866025i) q^{32} +(-1.31659 + 5.59165i) q^{33} +7.31854 q^{34} +(-2.24357 + 8.16612i) q^{35} +(-2.82074 + 1.02148i) q^{36} +(0.821546 + 0.912419i) q^{37} +(6.97212 + 0.732799i) q^{38} +(0.385742 + 0.460468i) q^{39} +(2.37871 - 2.14180i) q^{40} +(1.62090 + 4.98861i) q^{41} +(2.25023 - 3.99205i) q^{42} -1.84972i q^{43} +(-0.300754 + 3.30296i) q^{44} +(-5.07538 - 8.15174i) q^{45} +(-3.05629 + 6.86454i) q^{46} +(0.790295 - 3.71805i) q^{47} +(-1.52997 + 0.811907i) q^{48} +(1.36864 + 6.86490i) q^{49} +(4.24377 + 3.08328i) q^{50} +(0.452673 - 12.6680i) q^{51} +(0.257729 + 0.232060i) q^{52} +(2.42620 - 5.44933i) q^{53} +(1.59366 + 4.94573i) q^{54} +(-10.5415 + 1.25648i) q^{55} +(0.963758 - 2.46397i) q^{56} +(1.69968 - 12.0230i) q^{57} +(-2.13146 - 0.453055i) q^{58} +(-1.23315 - 5.80153i) q^{59} +(-3.56021 - 4.24990i) q^{60} +(0.0447633 + 0.100540i) q^{61} +(-0.336967 + 1.03708i) q^{62} +(-6.77084 - 4.14194i) q^{63} +(-0.809017 + 0.587785i) q^{64} +(-0.555045 + 0.961366i) q^{65} +(5.69864 + 0.724887i) q^{66} +(5.60173 + 9.70248i) q^{67} +(-0.764996 - 7.27845i) q^{68} +(11.6931 + 5.71487i) q^{69} +(8.35590 + 1.37768i) q^{70} +(-3.42260 + 4.71081i) q^{71} +(1.31073 + 2.69851i) q^{72} +(-0.794456 - 3.73762i) q^{73} +(0.821546 - 0.912419i) q^{74} +(5.59948 - 7.15503i) q^{75} -7.01052i q^{76} +(-7.32283 + 4.83490i) q^{77} +(0.417625 - 0.431761i) q^{78} +(-6.66607 + 0.700632i) q^{79} +(-2.37871 - 2.14180i) q^{80} +(8.65937 - 2.45263i) q^{81} +(4.79185 - 2.13347i) q^{82} +(-9.88760 - 7.18376i) q^{83} +(-4.20540 - 1.82062i) q^{84} +(22.2792 - 7.23895i) q^{85} +(-1.83959 + 0.193349i) q^{86} +(-0.916051 + 3.66142i) q^{87} +(3.31630 - 0.0461467i) q^{88} +(-1.06962 - 0.617544i) q^{89} +(-7.57656 + 5.89967i) q^{90} +(-0.0538172 + 0.915989i) q^{91} +(7.14641 + 2.32201i) q^{92} +(1.77428 + 0.647417i) q^{93} +(-3.78029 - 0.397324i) q^{94} +(21.9494 - 4.66550i) q^{95} +(0.967384 + 1.43672i) q^{96} +(-8.00898 + 5.81887i) q^{97} +(6.68423 - 2.07872i) q^{98} +(1.60722 - 9.81921i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128 q + 16 q^{2} + 16 q^{4} - 32 q^{8} + 16 q^{9} + O(q^{10}) \) \( 128 q + 16 q^{2} + 16 q^{4} - 32 q^{8} + 16 q^{9} - 6 q^{11} - 12 q^{15} + 16 q^{16} - 2 q^{17} - 4 q^{18} + 2 q^{22} - 12 q^{25} - 18 q^{27} - 5 q^{28} + 38 q^{29} + 6 q^{30} - 3 q^{31} - 64 q^{32} + 28 q^{33} - 16 q^{34} - 31 q^{35} + 8 q^{36} + 2 q^{37} - 2 q^{39} + 5 q^{40} + 16 q^{41} - 13 q^{42} - q^{44} + 28 q^{45} + 38 q^{49} + 34 q^{50} + 4 q^{51} + 25 q^{53} - 6 q^{54} - 42 q^{55} - 100 q^{57} - 19 q^{58} + 40 q^{59} - 4 q^{60} + 40 q^{61} - 4 q^{62} - 106 q^{63} - 32 q^{64} + 20 q^{65} - 7 q^{66} + 16 q^{67} - 2 q^{68} - 68 q^{69} - 21 q^{70} + 80 q^{71} - 4 q^{72} + 10 q^{73} + 2 q^{74} - 14 q^{75} + q^{77} - 16 q^{78} - 5 q^{80} + 32 q^{81} - 8 q^{82} - 92 q^{83} + 8 q^{84} - 100 q^{85} - 40 q^{86} - 38 q^{87} - q^{88} + 4 q^{90} + 12 q^{91} - 20 q^{92} - 33 q^{93} + 40 q^{94} + 38 q^{95} - 16 q^{97} + 18 q^{98} + 2 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).

\(n\) \(155\) \(199\) \(211\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{3}{10}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.104528 0.994522i −0.0739128 0.703233i
\(3\) −1.72793 + 0.119419i −0.997620 + 0.0689466i
\(4\) −0.978148 + 0.207912i −0.489074 + 0.103956i
\(5\) −1.30191 2.92414i −0.582233 1.30772i −0.929109 0.369806i \(-0.879424\pi\)
0.346876 0.937911i \(-0.387242\pi\)
\(6\) 0.299383 + 1.70598i 0.122222 + 0.696464i
\(7\) −2.04556 1.67800i −0.773150 0.634224i
\(8\) 0.309017 + 0.951057i 0.109254 + 0.336249i
\(9\) 2.97148 0.412695i 0.990493 0.137565i
\(10\) −2.77204 + 1.60044i −0.876595 + 0.506103i
\(11\) 0.980906 3.16825i 0.295754 0.955264i
\(12\) 1.66534 0.476066i 0.480743 0.137428i
\(13\) −0.203849 0.280574i −0.0565375 0.0778172i 0.779812 0.626014i \(-0.215315\pi\)
−0.836350 + 0.548196i \(0.815315\pi\)
\(14\) −1.45499 + 2.20975i −0.388862 + 0.590582i
\(15\) 2.59881 + 4.89724i 0.671010 + 1.26446i
\(16\) 0.913545 0.406737i 0.228386 0.101684i
\(17\) −0.764996 + 7.27845i −0.185539 + 1.76528i 0.365507 + 0.930809i \(0.380896\pi\)
−0.551046 + 0.834475i \(0.685771\pi\)
\(18\) −0.721038 2.91206i −0.169950 0.686380i
\(19\) −1.45757 + 6.85733i −0.334389 + 1.57318i 0.414226 + 0.910174i \(0.364052\pi\)
−0.748616 + 0.663004i \(0.769281\pi\)
\(20\) 1.88143 + 2.58956i 0.420700 + 0.579043i
\(21\) 3.73497 + 2.65518i 0.815037 + 0.579409i
\(22\) −3.25343 0.644360i −0.693633 0.137378i
\(23\) −6.50747 3.75709i −1.35690 0.783407i −0.367696 0.929946i \(-0.619853\pi\)
−0.989205 + 0.146539i \(0.953187\pi\)
\(24\) −0.647534 1.60646i −0.132177 0.327916i
\(25\) −3.50999 + 3.89823i −0.701997 + 0.779647i
\(26\) −0.257729 + 0.232060i −0.0505448 + 0.0455107i
\(27\) −5.08522 + 1.06796i −0.978651 + 0.205529i
\(28\) 2.34974 + 1.21603i 0.444058 + 0.229809i
\(29\) 0.673371 2.07242i 0.125042 0.384840i −0.868867 0.495046i \(-0.835151\pi\)
0.993909 + 0.110206i \(0.0351512\pi\)
\(30\) 4.59876 3.09648i 0.839615 0.565336i
\(31\) −0.996173 0.443525i −0.178918 0.0796594i 0.315323 0.948984i \(-0.397887\pi\)
−0.494241 + 0.869325i \(0.664554\pi\)
\(32\) −0.500000 0.866025i −0.0883883 0.153093i
\(33\) −1.31659 + 5.59165i −0.229188 + 0.973382i
\(34\) 7.31854 1.25512
\(35\) −2.24357 + 8.16612i −0.379232 + 1.38033i
\(36\) −2.82074 + 1.02148i −0.470123 + 0.170247i
\(37\) 0.821546 + 0.912419i 0.135061 + 0.150001i 0.806881 0.590714i \(-0.201154\pi\)
−0.671820 + 0.740715i \(0.734487\pi\)
\(38\) 6.97212 + 0.732799i 1.13103 + 0.118876i
\(39\) 0.385742 + 0.460468i 0.0617682 + 0.0737339i
\(40\) 2.37871 2.14180i 0.376107 0.338649i
\(41\) 1.62090 + 4.98861i 0.253141 + 0.779089i 0.994190 + 0.107638i \(0.0343287\pi\)
−0.741049 + 0.671451i \(0.765671\pi\)
\(42\) 2.25023 3.99205i 0.347218 0.615987i
\(43\) 1.84972i 0.282080i −0.990004 0.141040i \(-0.954955\pi\)
0.990004 0.141040i \(-0.0450446\pi\)
\(44\) −0.300754 + 3.30296i −0.0453404 + 0.497940i
\(45\) −5.07538 8.15174i −0.756594 1.21519i
\(46\) −3.05629 + 6.86454i −0.450626 + 1.01212i
\(47\) 0.790295 3.71805i 0.115276 0.542333i −0.882171 0.470929i \(-0.843919\pi\)
0.997447 0.0714039i \(-0.0227479\pi\)
\(48\) −1.52997 + 0.811907i −0.220832 + 0.117189i
\(49\) 1.36864 + 6.86490i 0.195520 + 0.980700i
\(50\) 4.24377 + 3.08328i 0.600160 + 0.436042i
\(51\) 0.452673 12.6680i 0.0633870 1.77387i
\(52\) 0.257729 + 0.232060i 0.0357406 + 0.0321809i
\(53\) 2.42620 5.44933i 0.333264 0.748524i −0.666731 0.745299i \(-0.732307\pi\)
0.999995 0.00322489i \(-0.00102652\pi\)
\(54\) 1.59366 + 4.94573i 0.216870 + 0.673029i
\(55\) −10.5415 + 1.25648i −1.42141 + 0.169423i
\(56\) 0.963758 2.46397i 0.128788 0.329262i
\(57\) 1.69968 12.0230i 0.225128 1.59249i
\(58\) −2.13146 0.453055i −0.279874 0.0594891i
\(59\) −1.23315 5.80153i −0.160543 0.755295i −0.982577 0.185856i \(-0.940494\pi\)
0.822034 0.569438i \(-0.192839\pi\)
\(60\) −3.56021 4.24990i −0.459622 0.548660i
\(61\) 0.0447633 + 0.100540i 0.00573135 + 0.0128728i 0.916388 0.400290i \(-0.131091\pi\)
−0.910657 + 0.413163i \(0.864424\pi\)
\(62\) −0.336967 + 1.03708i −0.0427948 + 0.131709i
\(63\) −6.77084 4.14194i −0.853046 0.521836i
\(64\) −0.809017 + 0.587785i −0.101127 + 0.0734732i
\(65\) −0.555045 + 0.961366i −0.0688448 + 0.119243i
\(66\) 5.69864 + 0.724887i 0.701455 + 0.0892274i
\(67\) 5.60173 + 9.70248i 0.684361 + 1.18535i 0.973637 + 0.228102i \(0.0732519\pi\)
−0.289277 + 0.957245i \(0.593415\pi\)
\(68\) −0.764996 7.27845i −0.0927694 0.882642i
\(69\) 11.6931 + 5.71487i 1.40769 + 0.687989i
\(70\) 8.35590 + 1.37768i 0.998722 + 0.164665i
\(71\) −3.42260 + 4.71081i −0.406188 + 0.559070i −0.962284 0.272048i \(-0.912299\pi\)
0.556095 + 0.831119i \(0.312299\pi\)
\(72\) 1.31073 + 2.69851i 0.154471 + 0.318023i
\(73\) −0.794456 3.73762i −0.0929841 0.437456i −0.999871 0.0160809i \(-0.994881\pi\)
0.906887 0.421375i \(-0.138452\pi\)
\(74\) 0.821546 0.912419i 0.0955028 0.106067i
\(75\) 5.59948 7.15503i 0.646573 0.826192i
\(76\) 7.01052i 0.804162i
\(77\) −7.32283 + 4.83490i −0.834513 + 0.550987i
\(78\) 0.417625 0.431761i 0.0472867 0.0488873i
\(79\) −6.66607 + 0.700632i −0.749991 + 0.0788273i −0.471809 0.881701i \(-0.656399\pi\)
−0.278183 + 0.960528i \(0.589732\pi\)
\(80\) −2.37871 2.14180i −0.265948 0.239461i
\(81\) 8.65937 2.45263i 0.962152 0.272514i
\(82\) 4.79185 2.13347i 0.529171 0.235602i
\(83\) −9.88760 7.18376i −1.08530 0.788520i −0.106705 0.994291i \(-0.534030\pi\)
−0.978600 + 0.205771i \(0.934030\pi\)
\(84\) −4.20540 1.82062i −0.458846 0.198646i
\(85\) 22.2792 7.23895i 2.41652 0.785174i
\(86\) −1.83959 + 0.193349i −0.198368 + 0.0208493i
\(87\) −0.916051 + 3.66142i −0.0982110 + 0.392545i
\(88\) 3.31630 0.0461467i 0.353519 0.00491926i
\(89\) −1.06962 0.617544i −0.113379 0.0654595i 0.442238 0.896898i \(-0.354185\pi\)
−0.555617 + 0.831438i \(0.687518\pi\)
\(90\) −7.57656 + 5.89967i −0.798639 + 0.621880i
\(91\) −0.0538172 + 0.915989i −0.00564158 + 0.0960217i
\(92\) 7.14641 + 2.32201i 0.745064 + 0.242086i
\(93\) 1.77428 + 0.647417i 0.183984 + 0.0671340i
\(94\) −3.78029 0.397324i −0.389907 0.0409809i
\(95\) 21.9494 4.66550i 2.25196 0.478670i
\(96\) 0.967384 + 1.43672i 0.0987333 + 0.146635i
\(97\) −8.00898 + 5.81887i −0.813189 + 0.590816i −0.914753 0.404013i \(-0.867615\pi\)
0.101564 + 0.994829i \(0.467615\pi\)
\(98\) 6.68423 2.07872i 0.675209 0.209983i
\(99\) 1.60722 9.81921i 0.161532 0.986868i
\(100\) 2.62280 4.54282i 0.262280 0.454282i
\(101\) −6.49419 2.89140i −0.646196 0.287705i 0.0573507 0.998354i \(-0.481735\pi\)
−0.703547 + 0.710649i \(0.748401\pi\)
\(102\) −12.6459 + 0.873973i −1.25213 + 0.0865362i
\(103\) −4.83164 5.36608i −0.476076 0.528736i 0.456493 0.889727i \(-0.349105\pi\)
−0.932569 + 0.360991i \(0.882439\pi\)
\(104\) 0.203849 0.280574i 0.0199890 0.0275125i
\(105\) 2.90153 14.3784i 0.283161 1.40319i
\(106\) −5.67309 1.84330i −0.551019 0.179037i
\(107\) −14.5556 3.09389i −1.40715 0.299098i −0.559135 0.829077i \(-0.688867\pi\)
−0.848011 + 0.529979i \(0.822200\pi\)
\(108\) 4.75205 2.10190i 0.457267 0.202255i
\(109\) 13.8199 7.97890i 1.32370 0.764240i 0.339385 0.940647i \(-0.389781\pi\)
0.984317 + 0.176407i \(0.0564476\pi\)
\(110\) 2.35148 + 10.3524i 0.224205 + 0.987062i
\(111\) −1.52853 1.47849i −0.145082 0.140332i
\(112\) −2.55122 0.700923i −0.241067 0.0662310i
\(113\) −10.0711 + 3.27230i −0.947409 + 0.307832i −0.741662 0.670774i \(-0.765962\pi\)
−0.205747 + 0.978605i \(0.565962\pi\)
\(114\) −12.1348 0.433621i −1.13653 0.0406124i
\(115\) −2.51411 + 23.9202i −0.234442 + 2.23057i
\(116\) −0.227775 + 2.16714i −0.0211484 + 0.201214i
\(117\) −0.721524 0.749592i −0.0667049 0.0692998i
\(118\) −5.64085 + 1.83282i −0.519282 + 0.168725i
\(119\) 13.7781 13.6049i 1.26303 1.24715i
\(120\) −3.85447 + 3.98495i −0.351864 + 0.363774i
\(121\) −9.07565 6.21552i −0.825059 0.565047i
\(122\) 0.0953101 0.0550273i 0.00862898 0.00498194i
\(123\) −3.39653 8.42639i −0.306255 0.759782i
\(124\) 1.06662 + 0.226717i 0.0957851 + 0.0203598i
\(125\) 0.747634 + 0.242921i 0.0668704 + 0.0217275i
\(126\) −3.41151 + 7.16670i −0.303921 + 0.638461i
\(127\) −11.1208 + 15.3064i −0.986808 + 1.35823i −0.0537288 + 0.998556i \(0.517111\pi\)
−0.933080 + 0.359670i \(0.882889\pi\)
\(128\) 0.669131 + 0.743145i 0.0591433 + 0.0656853i
\(129\) 0.220892 + 3.19619i 0.0194485 + 0.281409i
\(130\) 1.01412 + 0.451514i 0.0889440 + 0.0396004i
\(131\) 5.64476 9.77700i 0.493185 0.854221i −0.506785 0.862073i \(-0.669166\pi\)
0.999969 + 0.00785196i \(0.00249938\pi\)
\(132\) 0.125246 5.74320i 0.0109012 0.499881i
\(133\) 14.4881 11.5813i 1.25628 1.00422i
\(134\) 9.06379 6.58523i 0.782992 0.568877i
\(135\) 9.74338 + 13.4795i 0.838576 + 1.16013i
\(136\) −7.15861 + 1.52161i −0.613846 + 0.130477i
\(137\) −15.8434 1.66520i −1.35359 0.142268i −0.600204 0.799847i \(-0.704914\pi\)
−0.753385 + 0.657579i \(0.771580\pi\)
\(138\) 4.46130 12.2264i 0.379771 1.04078i
\(139\) −2.90927 0.945281i −0.246761 0.0801777i 0.183025 0.983108i \(-0.441411\pi\)
−0.429786 + 0.902931i \(0.641411\pi\)
\(140\) 0.496707 8.45414i 0.0419794 0.714505i
\(141\) −0.921569 + 6.51890i −0.0776101 + 0.548990i
\(142\) 5.04276 + 2.91144i 0.423179 + 0.244323i
\(143\) −1.08889 + 0.370628i −0.0910572 + 0.0309935i
\(144\) 2.54672 1.58562i 0.212227 0.132135i
\(145\) −6.93674 + 0.729080i −0.576065 + 0.0605468i
\(146\) −3.63410 + 1.18079i −0.300761 + 0.0977230i
\(147\) −3.18472 11.6986i −0.262671 0.964885i
\(148\) −0.993296 0.721672i −0.0816484 0.0593210i
\(149\) −3.09258 + 1.37691i −0.253354 + 0.112801i −0.529484 0.848320i \(-0.677615\pi\)
0.276130 + 0.961120i \(0.410948\pi\)
\(150\) −7.70114 4.82090i −0.628796 0.393625i
\(151\) 0.746498 + 0.672150i 0.0607491 + 0.0546988i 0.698946 0.715174i \(-0.253653\pi\)
−0.638197 + 0.769873i \(0.720319\pi\)
\(152\) −6.97212 + 0.732799i −0.565513 + 0.0594379i
\(153\) 0.730613 + 21.9435i 0.0590665 + 1.77402i
\(154\) 5.57385 + 6.77733i 0.449154 + 0.546133i
\(155\) 3.49038i 0.280354i
\(156\) −0.473050 0.370206i −0.0378743 0.0296402i
\(157\) −0.0390587 + 0.0433791i −0.00311723 + 0.00346203i −0.744701 0.667398i \(-0.767408\pi\)
0.741584 + 0.670860i \(0.234075\pi\)
\(158\) 1.39359 + 6.55632i 0.110868 + 0.521593i
\(159\) −3.54155 + 9.70580i −0.280863 + 0.769720i
\(160\) −1.88143 + 2.58956i −0.148740 + 0.204723i
\(161\) 7.00704 + 18.6049i 0.552232 + 1.46627i
\(162\) −3.34434 8.35556i −0.262756 0.656475i
\(163\) −1.00407 9.55311i −0.0786450 0.748257i −0.960790 0.277278i \(-0.910568\pi\)
0.882145 0.470979i \(-0.156099\pi\)
\(164\) −2.62266 4.54259i −0.204796 0.354717i
\(165\) 18.0649 3.42996i 1.40635 0.267022i
\(166\) −6.11087 + 10.5843i −0.474296 + 0.821504i
\(167\) −10.6721 + 7.75371i −0.825830 + 0.600000i −0.918376 0.395708i \(-0.870499\pi\)
0.0925466 + 0.995708i \(0.470499\pi\)
\(168\) −1.37106 + 4.37266i −0.105780 + 0.337358i
\(169\) 3.98005 12.2493i 0.306158 0.942257i
\(170\) −9.52810 21.4005i −0.730772 1.64134i
\(171\) −1.50115 + 20.9779i −0.114796 + 1.60422i
\(172\) 0.384579 + 1.80930i 0.0293239 + 0.137958i
\(173\) 4.08955 + 0.869261i 0.310923 + 0.0660887i 0.360730 0.932670i \(-0.382527\pi\)
−0.0498075 + 0.998759i \(0.515861\pi\)
\(174\) 3.73711 + 0.528311i 0.283310 + 0.0400511i
\(175\) 13.7211 2.08433i 1.03722 0.157560i
\(176\) −0.392542 3.29331i −0.0295890 0.248243i
\(177\) 2.82361 + 9.87737i 0.212236 + 0.742429i
\(178\) −0.502355 + 1.12831i −0.0376531 + 0.0845703i
\(179\) 10.1448 + 9.13442i 0.758258 + 0.682739i 0.954631 0.297790i \(-0.0962497\pi\)
−0.196373 + 0.980529i \(0.562916\pi\)
\(180\) 6.65932 + 6.91837i 0.496356 + 0.515665i
\(181\) −18.7407 13.6159i −1.39299 1.01206i −0.995530 0.0944427i \(-0.969893\pi\)
−0.397456 0.917621i \(-0.630107\pi\)
\(182\) 0.916597 0.0422245i 0.0679427 0.00312989i
\(183\) −0.0893541 0.168380i −0.00660525 0.0124470i
\(184\) 1.56229 7.34997i 0.115173 0.541847i
\(185\) 1.59846 3.59021i 0.117521 0.263957i
\(186\) 0.458408 1.83224i 0.0336121 0.134346i
\(187\) 22.3096 + 9.56318i 1.63144 + 0.699329i
\(188\) 3.80111i 0.277225i
\(189\) 12.1942 + 6.34842i 0.886995 + 0.461779i
\(190\) −6.93428 21.3415i −0.503065 1.54828i
\(191\) −13.6384 + 12.2801i −0.986839 + 0.888554i −0.993773 0.111422i \(-0.964459\pi\)
0.00693423 + 0.999976i \(0.497793\pi\)
\(192\) 1.32773 1.11226i 0.0958208 0.0802707i
\(193\) 11.4479 + 1.20322i 0.824036 + 0.0866097i 0.507154 0.861855i \(-0.330697\pi\)
0.316882 + 0.948465i \(0.397364\pi\)
\(194\) 6.62416 + 7.35687i 0.475587 + 0.528193i
\(195\) 0.844273 1.72746i 0.0604596 0.123706i
\(196\) −2.76603 6.43033i −0.197573 0.459309i
\(197\) 13.7636 0.980618 0.490309 0.871549i \(-0.336884\pi\)
0.490309 + 0.871549i \(0.336884\pi\)
\(198\) −9.93342 0.572027i −0.705937 0.0406522i
\(199\) −11.2114 19.4186i −0.794752 1.37655i −0.922996 0.384808i \(-0.874268\pi\)
0.128244 0.991743i \(-0.459066\pi\)
\(200\) −4.79209 2.13357i −0.338852 0.150866i
\(201\) −10.8381 16.0963i −0.764458 1.13534i
\(202\) −2.19673 + 6.76084i −0.154562 + 0.475691i
\(203\) −4.85495 + 3.10935i −0.340750 + 0.218234i
\(204\) 2.19104 + 12.4853i 0.153404 + 0.874145i
\(205\) 12.4771 11.2345i 0.871441 0.784649i
\(206\) −4.83164 + 5.36608i −0.336637 + 0.373873i
\(207\) −20.8873 8.47851i −1.45177 0.589297i
\(208\) −0.300345 0.173404i −0.0208252 0.0120234i
\(209\) 20.2960 + 11.3443i 1.40390 + 0.784704i
\(210\) −14.6029 1.38269i −1.00770 0.0954144i
\(211\) 15.4237 + 21.2289i 1.06181 + 1.46146i 0.878102 + 0.478474i \(0.158810\pi\)
0.183708 + 0.982981i \(0.441190\pi\)
\(212\) −1.24020 + 5.83469i −0.0851774 + 0.400728i
\(213\) 5.35146 8.54867i 0.366676 0.585745i
\(214\) −1.55547 + 14.7993i −0.106330 + 1.01166i
\(215\) −5.40886 + 2.40818i −0.368881 + 0.164236i
\(216\) −2.58711 4.50631i −0.176030 0.306616i
\(217\) 1.29350 + 2.57883i 0.0878084 + 0.175063i
\(218\) −9.37976 12.9101i −0.635278 0.874385i
\(219\) 1.81911 + 6.36347i 0.122924 + 0.430004i
\(220\) 10.0499 3.42072i 0.677563 0.230625i
\(221\) 2.19809 1.26907i 0.147859 0.0853666i
\(222\) −1.31061 + 1.67470i −0.0879626 + 0.112399i
\(223\) 1.06351 + 3.27315i 0.0712179 + 0.219186i 0.980330 0.197365i \(-0.0632386\pi\)
−0.909112 + 0.416552i \(0.863239\pi\)
\(224\) −0.430409 + 2.61051i −0.0287579 + 0.174422i
\(225\) −8.82106 + 13.0321i −0.588071 + 0.868805i
\(226\) 4.30709 + 9.67387i 0.286503 + 0.643497i
\(227\) 18.1882 3.86603i 1.20720 0.256597i 0.439993 0.898001i \(-0.354981\pi\)
0.767203 + 0.641404i \(0.221648\pi\)
\(228\) 0.837190 + 12.1137i 0.0554442 + 0.802248i
\(229\) 0.210429 + 2.00209i 0.0139055 + 0.132302i 0.999272 0.0381459i \(-0.0121452\pi\)
−0.985367 + 0.170448i \(0.945479\pi\)
\(230\) 24.0519 1.58594
\(231\) 12.0759 9.22884i 0.794539 0.607213i
\(232\) 2.17908 0.143063
\(233\) −1.16626 11.0963i −0.0764045 0.726940i −0.963925 0.266173i \(-0.914241\pi\)
0.887521 0.460767i \(-0.152426\pi\)
\(234\) −0.670066 + 0.795925i −0.0438036 + 0.0520312i
\(235\) −11.9010 + 2.52964i −0.776336 + 0.165015i
\(236\) 2.41241 + 5.41837i 0.157035 + 0.352706i
\(237\) 11.4348 2.00670i 0.742772 0.130349i
\(238\) −14.9705 12.2805i −0.970395 0.796027i
\(239\) 5.83958 + 17.9724i 0.377731 + 1.16254i 0.941617 + 0.336685i \(0.109306\pi\)
−0.563886 + 0.825853i \(0.690694\pi\)
\(240\) 4.36602 + 3.41682i 0.281825 + 0.220555i
\(241\) 20.1296 11.6218i 1.29666 0.748629i 0.316837 0.948480i \(-0.397379\pi\)
0.979826 + 0.199851i \(0.0640458\pi\)
\(242\) −5.23280 + 9.67563i −0.336377 + 0.621973i
\(243\) −14.6699 + 5.27206i −0.941073 + 0.338203i
\(244\) −0.0646885 0.0890361i −0.00414126 0.00569995i
\(245\) 18.2921 12.9396i 1.16864 0.826681i
\(246\) −8.02520 + 4.25872i −0.511668 + 0.271526i
\(247\) 2.22111 0.988902i 0.141326 0.0629223i
\(248\) 0.113983 1.08447i 0.00723791 0.0688641i
\(249\) 17.9429 + 11.2323i 1.13709 + 0.711816i
\(250\) 0.163441 0.768930i 0.0103369 0.0486314i
\(251\) 15.7226 + 21.6403i 0.992400 + 1.36592i 0.929874 + 0.367878i \(0.119915\pi\)
0.0625255 + 0.998043i \(0.480085\pi\)
\(252\) 7.48404 + 2.64369i 0.471450 + 0.166537i
\(253\) −18.2866 + 16.9320i −1.14967 + 1.06450i
\(254\) 16.3850 + 9.45989i 1.02809 + 0.593566i
\(255\) −37.6324 + 15.1689i −2.35663 + 0.949916i
\(256\) 0.669131 0.743145i 0.0418207 0.0464466i
\(257\) −4.41774 + 3.97775i −0.275571 + 0.248125i −0.795314 0.606197i \(-0.792694\pi\)
0.519743 + 0.854322i \(0.326028\pi\)
\(258\) 3.15559 0.553775i 0.196459 0.0344765i
\(259\) −0.149485 3.24496i −0.00928852 0.201632i
\(260\) 0.343037 1.05576i 0.0212742 0.0654753i
\(261\) 1.14563 6.43606i 0.0709127 0.398382i
\(262\) −10.3135 4.59186i −0.637169 0.283686i
\(263\) −9.09839 15.7589i −0.561031 0.971734i −0.997407 0.0719694i \(-0.977072\pi\)
0.436376 0.899764i \(-0.356262\pi\)
\(264\) −5.72483 + 0.475768i −0.352339 + 0.0292815i
\(265\) −19.0933 −1.17289
\(266\) −13.0323 13.1982i −0.799059 0.809233i
\(267\) 1.92197 + 0.939339i 0.117623 + 0.0574866i
\(268\) −7.49658 8.32580i −0.457927 0.508579i
\(269\) 2.03144 + 0.213513i 0.123859 + 0.0130181i 0.166255 0.986083i \(-0.446833\pi\)
−0.0423962 + 0.999101i \(0.513499\pi\)
\(270\) 12.3872 11.0990i 0.753862 0.675463i
\(271\) 12.0678 10.8659i 0.733066 0.660056i −0.215547 0.976493i \(-0.569153\pi\)
0.948613 + 0.316438i \(0.102487\pi\)
\(272\) 2.26155 + 6.96035i 0.137127 + 0.422033i
\(273\) −0.0163942 1.58919i −0.000992222 0.0961822i
\(274\) 15.9306i 0.962404i
\(275\) 8.90762 + 14.9443i 0.537150 + 0.901177i
\(276\) −12.6258 3.15885i −0.759983 0.190140i
\(277\) 0.0916738 0.205903i 0.00550814 0.0123715i −0.910770 0.412913i \(-0.864511\pi\)
0.916279 + 0.400542i \(0.131178\pi\)
\(278\) −0.636000 + 2.99215i −0.0381448 + 0.179457i
\(279\) −3.14315 0.906808i −0.188175 0.0542892i
\(280\) −8.45974 + 0.389712i −0.505566 + 0.0232898i
\(281\) −3.41644 2.48219i −0.203808 0.148075i 0.481200 0.876611i \(-0.340201\pi\)
−0.685008 + 0.728536i \(0.740201\pi\)
\(282\) 6.57952 + 0.235110i 0.391805 + 0.0140006i
\(283\) −22.0978 19.8969i −1.31358 1.18275i −0.969856 0.243677i \(-0.921646\pi\)
−0.343720 0.939072i \(-0.611687\pi\)
\(284\) 2.36838 5.31947i 0.140537 0.315652i
\(285\) −37.3699 + 10.6828i −2.21360 + 0.632796i
\(286\) 0.482417 + 1.04418i 0.0285259 + 0.0617436i
\(287\) 5.05523 12.9244i 0.298401 0.762901i
\(288\) −1.84314 2.36703i −0.108608 0.139478i
\(289\) −35.7621 7.60147i −2.10365 0.447145i
\(290\) 1.45017 + 6.82253i 0.0851571 + 0.400633i
\(291\) 13.1441 11.0110i 0.770519 0.645477i
\(292\) 1.55419 + 3.49077i 0.0909521 + 0.204282i
\(293\) −3.12179 + 9.60789i −0.182377 + 0.561299i −0.999893 0.0146066i \(-0.995350\pi\)
0.817516 + 0.575906i \(0.195350\pi\)
\(294\) −11.3016 + 4.39011i −0.659125 + 0.256036i
\(295\) −15.3590 + 11.1590i −0.894238 + 0.649702i
\(296\) −0.613891 + 1.06329i −0.0356817 + 0.0618025i
\(297\) −1.60456 + 17.1588i −0.0931060 + 0.995656i
\(298\) 1.69263 + 2.93172i 0.0980513 + 0.169830i
\(299\) 0.272399 + 2.59170i 0.0157532 + 0.149882i
\(300\) −3.98951 + 8.16288i −0.230334 + 0.471284i
\(301\) −3.10383 + 3.78372i −0.178902 + 0.218090i
\(302\) 0.590437 0.812667i 0.0339758 0.0467637i
\(303\) 11.5668 + 4.22060i 0.664494 + 0.242467i
\(304\) 1.45757 + 6.85733i 0.0835973 + 0.393295i
\(305\) 0.235715 0.261788i 0.0134970 0.0149900i
\(306\) 21.7469 3.02033i 1.24319 0.172661i
\(307\) 17.8891i 1.02098i −0.859883 0.510491i \(-0.829463\pi\)
0.859883 0.510491i \(-0.170537\pi\)
\(308\) 6.15757 6.25174i 0.350860 0.356226i
\(309\) 8.98955 + 8.69522i 0.511398 + 0.494654i
\(310\) 3.47126 0.364844i 0.197154 0.0207218i
\(311\) −13.0736 11.7715i −0.741336 0.667502i 0.209285 0.977855i \(-0.432886\pi\)
−0.950622 + 0.310353i \(0.899553\pi\)
\(312\) −0.318730 + 0.509155i −0.0180446 + 0.0288252i
\(313\) 20.4749 9.11601i 1.15731 0.515267i 0.263917 0.964545i \(-0.414985\pi\)
0.893392 + 0.449278i \(0.148319\pi\)
\(314\) 0.0472242 + 0.0343104i 0.00266502 + 0.00193625i
\(315\) −3.29659 + 25.1914i −0.185742 + 1.41937i
\(316\) 6.37473 2.07128i 0.358607 0.116518i
\(317\) −11.7788 + 1.23800i −0.661564 + 0.0695332i −0.429359 0.903134i \(-0.641261\pi\)
−0.232205 + 0.972667i \(0.574594\pi\)
\(318\) 10.0228 + 2.50761i 0.562052 + 0.140620i
\(319\) −5.90545 4.16626i −0.330642 0.233266i
\(320\) 2.77204 + 1.60044i 0.154962 + 0.0894671i
\(321\) 25.5206 + 3.60781i 1.42442 + 0.201368i
\(322\) 17.7705 8.91339i 0.990313 0.496724i
\(323\) −48.7957 15.8547i −2.71506 0.882178i
\(324\) −7.96021 + 4.19942i −0.442234 + 0.233301i
\(325\) 1.80925 + 0.190160i 0.100359 + 0.0105482i
\(326\) −9.39582 + 1.99714i −0.520386 + 0.110612i
\(327\) −22.9269 + 15.4373i −1.26786 + 0.853686i
\(328\) −4.24356 + 3.08313i −0.234311 + 0.170237i
\(329\) −7.85548 + 6.27938i −0.433086 + 0.346193i
\(330\) −5.29946 17.6074i −0.291726 0.969255i
\(331\) 5.81463 10.0712i 0.319601 0.553566i −0.660804 0.750559i \(-0.729784\pi\)
0.980405 + 0.196993i \(0.0631177\pi\)
\(332\) 11.1651 + 4.97103i 0.612765 + 0.272821i
\(333\) 2.81776 + 2.37219i 0.154412 + 0.129995i
\(334\) 8.82677 + 9.80313i 0.482980 + 0.536403i
\(335\) 21.0785 29.0121i 1.15164 1.58510i
\(336\) 4.49203 + 0.906482i 0.245060 + 0.0494526i
\(337\) 5.37493 + 1.74642i 0.292791 + 0.0951337i 0.451730 0.892155i \(-0.350807\pi\)
−0.158938 + 0.987288i \(0.550807\pi\)
\(338\) −12.5983 2.67785i −0.685256 0.145656i
\(339\) 17.0114 6.85698i 0.923930 0.372420i
\(340\) −20.2873 + 11.7129i −1.10023 + 0.635219i
\(341\) −2.38235 + 2.72107i −0.129011 + 0.147354i
\(342\) 21.0199 0.699863i 1.13663 0.0378442i
\(343\) 8.71965 16.3391i 0.470817 0.882231i
\(344\) 1.75919 0.571596i 0.0948492 0.0308184i
\(345\) 1.48768 41.6326i 0.0800942 2.24142i
\(346\) 0.437025 4.15801i 0.0234946 0.223536i
\(347\) 0.703447 6.69285i 0.0377630 0.359291i −0.959281 0.282454i \(-0.908851\pi\)
0.997044 0.0768364i \(-0.0244819\pi\)
\(348\) 0.134782 3.77186i 0.00722509 0.202193i
\(349\) 0.797395 0.259089i 0.0426836 0.0138687i −0.287597 0.957751i \(-0.592856\pi\)
0.330281 + 0.943883i \(0.392856\pi\)
\(350\) −3.50716 13.4281i −0.187465 0.717761i
\(351\) 1.33626 + 1.20908i 0.0713242 + 0.0645358i
\(352\) −3.23424 + 0.734637i −0.172386 + 0.0391563i
\(353\) −22.8385 + 13.1858i −1.21557 + 0.701811i −0.963968 0.266019i \(-0.914292\pi\)
−0.251605 + 0.967830i \(0.580958\pi\)
\(354\) 9.52811 3.84061i 0.506414 0.204126i
\(355\) 18.2310 + 3.87512i 0.967602 + 0.205670i
\(356\) 1.17464 + 0.381663i 0.0622557 + 0.0202281i
\(357\) −22.1829 + 25.1536i −1.17404 + 1.33127i
\(358\) 8.02396 11.0440i 0.424080 0.583696i
\(359\) 6.28209 + 6.97696i 0.331556 + 0.368230i 0.885754 0.464155i \(-0.153642\pi\)
−0.554198 + 0.832385i \(0.686975\pi\)
\(360\) 6.18438 7.34600i 0.325946 0.387168i
\(361\) −27.5410 12.2621i −1.44953 0.645372i
\(362\) −11.5824 + 20.0613i −0.608757 + 1.05440i
\(363\) 16.4243 + 9.65617i 0.862053 + 0.506817i
\(364\) −0.137804 0.907162i −0.00722287 0.0475482i
\(365\) −9.89503 + 7.18916i −0.517930 + 0.376298i
\(366\) −0.158118 + 0.106465i −0.00826495 + 0.00556502i
\(367\) 21.7579 4.62479i 1.13575 0.241412i 0.398592 0.917128i \(-0.369499\pi\)
0.737162 + 0.675716i \(0.236166\pi\)
\(368\) −7.47301 0.785445i −0.389558 0.0409442i
\(369\) 6.87523 + 14.1546i 0.357910 + 0.736859i
\(370\) −3.73763 1.21443i −0.194310 0.0631351i
\(371\) −14.1069 + 7.07579i −0.732395 + 0.367357i
\(372\) −1.87011 0.264376i −0.0969609 0.0137072i
\(373\) 1.91568 + 1.10602i 0.0991902 + 0.0572675i 0.548775 0.835970i \(-0.315095\pi\)
−0.449584 + 0.893238i \(0.648428\pi\)
\(374\) 7.17880 23.1870i 0.371207 1.19897i
\(375\) −1.32087 0.330468i −0.0682093 0.0170653i
\(376\) 3.78029 0.397324i 0.194953 0.0204904i
\(377\) −0.718734 + 0.233531i −0.0370167 + 0.0120275i
\(378\) 5.03900 12.7910i 0.259178 0.657896i
\(379\) 12.9776 + 9.42879i 0.666615 + 0.484324i 0.868890 0.495004i \(-0.164834\pi\)
−0.202275 + 0.979329i \(0.564834\pi\)
\(380\) −20.4998 + 9.12709i −1.05162 + 0.468210i
\(381\) 17.3880 27.7764i 0.890815 1.42303i
\(382\) 13.6384 + 12.2801i 0.697800 + 0.628302i
\(383\) 17.0563 1.79269i 0.871537 0.0916023i 0.341809 0.939770i \(-0.388960\pi\)
0.529728 + 0.848167i \(0.322294\pi\)
\(384\) −1.24496 1.20419i −0.0635314 0.0614513i
\(385\) 23.6716 + 15.1184i 1.20642 + 0.770504i
\(386\) 11.5109i 0.585891i
\(387\) −0.763372 5.49641i −0.0388044 0.279398i
\(388\) 6.62416 7.35687i 0.336291 0.373489i
\(389\) 5.69708 + 26.8026i 0.288853 + 1.35895i 0.848052 + 0.529914i \(0.177776\pi\)
−0.559198 + 0.829034i \(0.688891\pi\)
\(390\) −1.80624 0.659080i −0.0914626 0.0333738i
\(391\) 32.3240 44.4901i 1.63469 2.24996i
\(392\) −6.10597 + 3.42303i −0.308398 + 0.172889i
\(393\) −8.58618 + 17.5681i −0.433115 + 0.886191i
\(394\) −1.43869 13.6882i −0.0724802 0.689603i
\(395\) 10.7274 + 18.5804i 0.539754 + 0.934881i
\(396\) 0.469431 + 9.93879i 0.0235898 + 0.499443i
\(397\) −12.3272 + 21.3513i −0.618683 + 1.07159i 0.371043 + 0.928616i \(0.379000\pi\)
−0.989726 + 0.142975i \(0.954333\pi\)
\(398\) −18.1404 + 13.1797i −0.909294 + 0.660641i
\(399\) −23.6514 + 21.7418i −1.18405 + 1.08845i
\(400\) −1.62098 + 4.98885i −0.0810489 + 0.249443i
\(401\) −13.4144 30.1293i −0.669884 1.50458i −0.853229 0.521536i \(-0.825359\pi\)
0.183345 0.983049i \(-0.441307\pi\)
\(402\) −14.8752 + 12.4612i −0.741907 + 0.621508i
\(403\) 0.0786272 + 0.369912i 0.00391670 + 0.0184266i
\(404\) 6.95343 + 1.47800i 0.345946 + 0.0735331i
\(405\) −18.4456 22.1281i −0.916568 1.09956i
\(406\) 3.59980 + 4.50334i 0.178655 + 0.223497i
\(407\) 3.69663 1.70787i 0.183235 0.0846558i
\(408\) 12.1879 3.48411i 0.603389 0.172489i
\(409\) −11.7883 + 26.4769i −0.582892 + 1.30920i 0.345787 + 0.938313i \(0.387612\pi\)
−0.928679 + 0.370884i \(0.879055\pi\)
\(410\) −12.4771 11.2345i −0.616202 0.554830i
\(411\) 27.5750 + 0.985356i 1.36018 + 0.0486040i
\(412\) 5.84173 + 4.24427i 0.287801 + 0.209100i
\(413\) −7.21247 + 13.9366i −0.354902 + 0.685776i
\(414\) −6.24874 + 21.6592i −0.307109 + 1.06449i
\(415\) −8.13356 + 38.2654i −0.399261 + 1.87837i
\(416\) −0.141060 + 0.316825i −0.00691602 + 0.0155336i
\(417\) 5.13990 + 1.28596i 0.251702 + 0.0629735i
\(418\) 9.16068 21.3706i 0.448064 1.04527i
\(419\) 23.8655i 1.16590i −0.812506 0.582952i \(-0.801897\pi\)
0.812506 0.582952i \(-0.198103\pi\)
\(420\) 0.151311 + 14.6675i 0.00738320 + 0.715699i
\(421\) −5.71242 17.5810i −0.278406 0.856847i −0.988298 0.152536i \(-0.951256\pi\)
0.709892 0.704311i \(-0.248744\pi\)
\(422\) 19.5004 17.5582i 0.949263 0.854720i
\(423\) 0.813925 11.3742i 0.0395744 0.553035i
\(424\) 5.93236 + 0.623516i 0.288101 + 0.0302806i
\(425\) −25.6880 28.5294i −1.24605 1.38388i
\(426\) −9.06122 4.42856i −0.439017 0.214564i
\(427\) 0.0771399 0.280773i 0.00373306 0.0135876i
\(428\) 14.8808 0.719291
\(429\) 1.83726 0.770452i 0.0887036 0.0371978i
\(430\) 2.96036 + 5.12750i 0.142761 + 0.247270i
\(431\) −8.66387 3.85740i −0.417324 0.185805i 0.187323 0.982298i \(-0.440019\pi\)
−0.604647 + 0.796494i \(0.706686\pi\)
\(432\) −4.21120 + 3.04397i −0.202612 + 0.146453i
\(433\) −1.63950 + 5.04587i −0.0787895 + 0.242489i −0.982691 0.185251i \(-0.940690\pi\)
0.903902 + 0.427740i \(0.140690\pi\)
\(434\) 2.42950 1.55597i 0.116620 0.0746892i
\(435\) 11.8991 2.08818i 0.570519 0.100120i
\(436\) −11.8590 + 10.6779i −0.567941 + 0.511376i
\(437\) 35.2487 39.1476i 1.68617 1.87268i
\(438\) 6.13846 2.47431i 0.293307 0.118227i
\(439\) −35.1312 20.2830i −1.67672 0.968056i −0.963728 0.266887i \(-0.914005\pi\)
−0.712995 0.701169i \(-0.752662\pi\)
\(440\) −4.45248 9.63727i −0.212264 0.459439i
\(441\) 6.90000 + 19.8341i 0.328571 + 0.944479i
\(442\) −1.49188 2.05339i −0.0709613 0.0976699i
\(443\) 4.11953 19.3809i 0.195725 0.920812i −0.765155 0.643846i \(-0.777338\pi\)
0.960880 0.276966i \(-0.0893289\pi\)
\(444\) 1.80253 + 1.12838i 0.0855441 + 0.0535505i
\(445\) −0.413239 + 3.93170i −0.0195894 + 0.186381i
\(446\) 3.14405 1.39982i 0.148875 0.0662834i
\(447\) 5.17934 2.74851i 0.244974 0.130000i
\(448\) 2.64120 + 0.155179i 0.124785 + 0.00733150i
\(449\) −21.0414 28.9611i −0.993007 1.36676i −0.929519 0.368774i \(-0.879778\pi\)
−0.0634877 0.997983i \(-0.520222\pi\)
\(450\) 13.8827 + 7.41052i 0.654438 + 0.349335i
\(451\) 17.3951 0.242055i 0.819104 0.0113979i
\(452\) 9.17067 5.29469i 0.431352 0.249041i
\(453\) −1.37016 1.07228i −0.0643759 0.0503802i
\(454\) −5.74604 17.6845i −0.269675 0.829974i
\(455\) 2.74855 1.03517i 0.128854 0.0485294i
\(456\) 11.9598 2.09883i 0.560070 0.0982866i
\(457\) 7.05936 + 15.8556i 0.330223 + 0.741693i 1.00000 0.000869771i \(-0.000276857\pi\)
−0.669777 + 0.742563i \(0.733610\pi\)
\(458\) 1.96913 0.418552i 0.0920114 0.0195576i
\(459\) −3.88291 37.8295i −0.181239 1.76573i
\(460\) −2.51411 23.9202i −0.117221 1.11528i
\(461\) −21.4592 −0.999457 −0.499728 0.866182i \(-0.666567\pi\)
−0.499728 + 0.866182i \(0.666567\pi\)
\(462\) −10.4406 11.0451i −0.485739 0.513865i
\(463\) −8.82749 −0.410248 −0.205124 0.978736i \(-0.565760\pi\)
−0.205124 + 0.978736i \(0.565760\pi\)
\(464\) −0.227775 2.16714i −0.0105742 0.100607i
\(465\) −0.416818 6.03113i −0.0193295 0.279687i
\(466\) −10.9136 + 2.31975i −0.505561 + 0.107460i
\(467\) −8.37593 18.8126i −0.387592 0.870545i −0.996979 0.0776725i \(-0.975251\pi\)
0.609387 0.792873i \(-0.291416\pi\)
\(468\) 0.861606 + 0.583198i 0.0398277 + 0.0269583i
\(469\) 4.82207 29.2467i 0.222662 1.35049i
\(470\) 3.75977 + 11.5714i 0.173425 + 0.533748i
\(471\) 0.0623104 0.0796204i 0.00287111 0.00366872i
\(472\) 5.13652 2.96557i 0.236427 0.136501i
\(473\) −5.86039 1.81440i −0.269461 0.0834264i
\(474\) −3.19097 11.1624i −0.146566 0.512707i
\(475\) −21.6154 29.7511i −0.991783 1.36507i
\(476\) −10.6484 + 16.1722i −0.488068 + 0.741251i
\(477\) 4.96049 17.1939i 0.227125 0.787253i
\(478\) 17.2635 7.68622i 0.789616 0.351560i
\(479\) −3.13898 + 29.8654i −0.143424 + 1.36458i 0.651857 + 0.758342i \(0.273990\pi\)
−0.795280 + 0.606242i \(0.792676\pi\)
\(480\) 2.94173 4.69926i 0.134271 0.214491i
\(481\) 0.0885298 0.416500i 0.00403661 0.0189908i
\(482\) −13.6623 18.8045i −0.622301 0.856523i
\(483\) −14.3294 31.3111i −0.652012 1.42471i
\(484\) 10.1696 + 4.19276i 0.462255 + 0.190580i
\(485\) 27.4422 + 15.8438i 1.24609 + 0.719428i
\(486\) 6.77660 + 14.0384i 0.307393 + 0.636796i
\(487\) 2.50287 2.77972i 0.113416 0.125961i −0.683763 0.729704i \(-0.739658\pi\)
0.797179 + 0.603743i \(0.206325\pi\)
\(488\) −0.0817866 + 0.0736410i −0.00370230 + 0.00333357i
\(489\) 2.87579 + 16.3872i 0.130048 + 0.741054i
\(490\) −14.7808 16.8393i −0.667727 0.760723i
\(491\) 6.49039 19.9754i 0.292907 0.901476i −0.691009 0.722846i \(-0.742834\pi\)
0.983916 0.178630i \(-0.0571665\pi\)
\(492\) 5.07425 + 7.53608i 0.228765 + 0.339753i
\(493\) 14.5689 + 6.48650i 0.656151 + 0.292137i
\(494\) −1.21565 2.10557i −0.0546948 0.0947343i
\(495\) −30.8052 + 8.08401i −1.38459 + 0.363349i
\(496\) −1.09045 −0.0489625
\(497\) 14.9059 3.89313i 0.668620 0.174631i
\(498\) 9.29518 19.0187i 0.416527 0.852250i
\(499\) 15.2981 + 16.9903i 0.684839 + 0.760590i 0.980886 0.194583i \(-0.0623353\pi\)
−0.296048 + 0.955173i \(0.595669\pi\)
\(500\) −0.781802 0.0821707i −0.0349633 0.00367479i
\(501\) 17.5146 14.6723i 0.782497 0.655511i
\(502\) 19.8783 17.8985i 0.887210 0.798847i
\(503\) 7.56056 + 23.2690i 0.337109 + 1.03751i 0.965674 + 0.259757i \(0.0836425\pi\)
−0.628565 + 0.777757i \(0.716357\pi\)
\(504\) 1.84692 7.71938i 0.0822682 0.343849i
\(505\) 22.7543i 1.01255i
\(506\) 18.7507 + 16.4166i 0.833569 + 0.729806i
\(507\) −5.41445 + 21.6413i −0.240464 + 0.961124i
\(508\) 7.69537 17.2841i 0.341427 0.766857i
\(509\) 1.60028 7.52872i 0.0709312 0.333705i −0.928346 0.371717i \(-0.878769\pi\)
0.999277 + 0.0380121i \(0.0121025\pi\)
\(510\) 19.0195 + 35.8407i 0.842198 + 1.58705i
\(511\) −4.64662 + 8.97863i −0.205554 + 0.397191i
\(512\) −0.809017 0.587785i −0.0357538 0.0259767i
\(513\) 0.0887192 36.4276i 0.00391705 1.60832i
\(514\) 4.41774 + 3.97775i 0.194858 + 0.175451i
\(515\) −9.40082 + 21.1146i −0.414250 + 0.930420i
\(516\) −0.880590 3.08042i −0.0387658 0.135608i
\(517\) −11.0045 6.15091i −0.483978 0.270517i
\(518\) −3.21156 + 0.487857i −0.141108 + 0.0214352i
\(519\) −7.17026 1.01365i −0.314740 0.0444943i
\(520\) −1.08583 0.230801i −0.0476169 0.0101213i
\(521\) 5.50931 + 25.9192i 0.241367 + 1.13554i 0.917181 + 0.398471i \(0.130459\pi\)
−0.675814 + 0.737072i \(0.736208\pi\)
\(522\) −6.52055 0.466602i −0.285397 0.0204226i
\(523\) −2.84477 6.38945i −0.124393 0.279391i 0.840605 0.541649i \(-0.182200\pi\)
−0.964998 + 0.262258i \(0.915533\pi\)
\(524\) −3.48865 + 10.7370i −0.152402 + 0.469046i
\(525\) −23.4602 + 5.24013i −1.02389 + 0.228698i
\(526\) −14.7215 + 10.6958i −0.641888 + 0.466359i
\(527\) 3.99024 6.91130i 0.173818 0.301061i
\(528\) 1.07157 + 5.64373i 0.0466341 + 0.245612i
\(529\) 16.7314 + 28.9797i 0.727454 + 1.25999i
\(530\) 1.99580 + 18.9887i 0.0866919 + 0.824818i
\(531\) −6.05855 16.7302i −0.262919 0.726029i
\(532\) −11.7636 + 14.3405i −0.510019 + 0.621737i
\(533\) 1.06925 1.47170i 0.0463145 0.0637465i
\(534\) 0.733293 2.00963i 0.0317327 0.0869651i
\(535\) 9.90317 + 46.5907i 0.428151 + 2.01429i
\(536\) −7.49658 + 8.32580i −0.323803 + 0.359620i
\(537\) −18.6203 14.5722i −0.803526 0.628835i
\(538\) 2.04263i 0.0880639i
\(539\) 23.0922 + 2.39762i 0.994653 + 0.103273i
\(540\) −12.3330 11.1592i −0.530728 0.480216i
\(541\) −9.63592 + 1.01278i −0.414281 + 0.0435426i −0.309376 0.950940i \(-0.600120\pi\)
−0.104904 + 0.994482i \(0.533454\pi\)
\(542\) −12.0678 10.8659i −0.518356 0.466730i
\(543\) 34.0086 + 21.2894i 1.45945 + 0.913614i
\(544\) 6.68582 2.97672i 0.286652 0.127626i
\(545\) −41.3237 30.0234i −1.77011 1.28606i
\(546\) −1.57877 + 0.182420i −0.0675652 + 0.00780686i
\(547\) 30.5840 9.93733i 1.30768 0.424890i 0.429430 0.903100i \(-0.358714\pi\)
0.878245 + 0.478210i \(0.158714\pi\)
\(548\) 15.8434 1.66520i 0.676794 0.0711340i
\(549\) 0.174505 + 0.280279i 0.00744771 + 0.0119620i
\(550\) 13.9314 10.4209i 0.594035 0.444350i
\(551\) 13.2298 + 7.63823i 0.563608 + 0.325400i
\(552\) −1.82179 + 12.8868i −0.0775406 + 0.548499i
\(553\) 14.8115 + 9.75247i 0.629850 + 0.414717i
\(554\) −0.214357 0.0696489i −0.00910717 0.00295910i
\(555\) −2.33329 + 6.39451i −0.0990428 + 0.271432i
\(556\) 3.04223 + 0.319752i 0.129019 + 0.0135605i
\(557\) −0.113199 + 0.0240611i −0.00479637 + 0.00101950i −0.210309 0.977635i \(-0.567447\pi\)
0.205513 + 0.978654i \(0.434114\pi\)
\(558\) −0.573292 + 3.22072i −0.0242694 + 0.136344i
\(559\) −0.518984 + 0.377064i −0.0219507 + 0.0159481i
\(560\) 1.27186 + 8.37266i 0.0537459 + 0.353810i
\(561\) −39.6914 13.8603i −1.67577 0.585182i
\(562\) −2.11148 + 3.65718i −0.0890672 + 0.154269i
\(563\) 24.2189 + 10.7829i 1.02070 + 0.454447i 0.847701 0.530474i \(-0.177986\pi\)
0.173003 + 0.984921i \(0.444653\pi\)
\(564\) −0.453925 6.56805i −0.0191137 0.276565i
\(565\) 22.6803 + 25.1891i 0.954169 + 1.05971i
\(566\) −17.4781 + 24.0565i −0.734659 + 1.01117i
\(567\) −21.8288 9.51340i −0.916722 0.399525i
\(568\) −5.53789 1.79937i −0.232365 0.0754998i
\(569\) 20.2079 + 4.29532i 0.847158 + 0.180069i 0.610985 0.791642i \(-0.290774\pi\)
0.236173 + 0.971711i \(0.424107\pi\)
\(570\) 14.5305 + 36.0485i 0.608617 + 1.50991i
\(571\) −6.31699 + 3.64712i −0.264358 + 0.152627i −0.626321 0.779565i \(-0.715440\pi\)
0.361963 + 0.932192i \(0.382107\pi\)
\(572\) 0.988033 0.588921i 0.0413117 0.0246240i
\(573\) 22.0997 22.8478i 0.923228 0.954479i
\(574\) −13.3820 3.67657i −0.558553 0.153457i
\(575\) 37.4871 12.1803i 1.56332 0.507954i
\(576\) −2.16140 + 2.08047i −0.0900583 + 0.0866862i
\(577\) 1.22504 11.6555i 0.0509992 0.485225i −0.938976 0.343983i \(-0.888224\pi\)
0.989975 0.141242i \(-0.0451095\pi\)
\(578\) −3.82167 + 36.3608i −0.158961 + 1.51241i
\(579\) −19.9248 0.711985i −0.828047 0.0295891i
\(580\) 6.63357 2.15538i 0.275444 0.0894972i
\(581\) 8.17135 + 31.2862i 0.339005 + 1.29797i
\(582\) −12.3246 11.9211i −0.510872 0.494146i
\(583\) −14.8850 13.0321i −0.616473 0.539734i
\(584\) 3.30919 1.91056i 0.136935 0.0790596i
\(585\) −1.25255 + 3.08574i −0.0517867 + 0.127580i
\(586\) 9.88157 + 2.10039i 0.408204 + 0.0867664i
\(587\) −12.4049 4.03060i −0.512006 0.166361i 0.0416085 0.999134i \(-0.486752\pi\)
−0.553614 + 0.832773i \(0.686752\pi\)
\(588\) 5.54740 + 10.7808i 0.228771 + 0.444594i
\(589\) 4.49338 6.18461i 0.185147 0.254833i
\(590\) 12.7033 + 14.1085i 0.522988 + 0.580837i
\(591\) −23.7826 + 1.64364i −0.978285 + 0.0676103i
\(592\) 1.12163 + 0.499384i 0.0460989 + 0.0205245i
\(593\) 6.76636 11.7197i 0.277861 0.481270i −0.692992 0.720946i \(-0.743708\pi\)
0.970853 + 0.239676i \(0.0770411\pi\)
\(594\) 17.2326 0.197816i 0.707060 0.00811650i
\(595\) −57.7204 22.5767i −2.36631 0.925556i
\(596\) 2.73873 1.98980i 0.112183 0.0815055i
\(597\) 21.6914 + 32.2152i 0.887769 + 1.31848i
\(598\) 2.54903 0.541814i 0.104238 0.0221564i
\(599\) 15.0296 + 1.57967i 0.614092 + 0.0645437i 0.406468 0.913665i \(-0.366760\pi\)
0.207624 + 0.978209i \(0.433427\pi\)
\(600\) 8.53518 + 3.11440i 0.348447 + 0.127145i
\(601\) 21.8028 + 7.08415i 0.889354 + 0.288969i 0.717836 0.696212i \(-0.245133\pi\)
0.171518 + 0.985181i \(0.445133\pi\)
\(602\) 4.08743 + 2.69132i 0.166591 + 0.109690i
\(603\) 20.6496 + 26.5189i 0.840916 + 1.07993i
\(604\) −0.869933 0.502256i −0.0353971 0.0204365i
\(605\) −6.35936 + 34.6306i −0.258545 + 1.40793i
\(606\) 2.98842 11.9446i 0.121396 0.485216i
\(607\) −2.97486 + 0.312671i −0.120746 + 0.0126909i −0.164709 0.986342i \(-0.552668\pi\)
0.0439627 + 0.999033i \(0.486002\pi\)
\(608\) 6.66740 2.16637i 0.270399 0.0878579i
\(609\) 8.01769 5.95252i 0.324893 0.241208i
\(610\) −0.284993 0.207060i −0.0115390 0.00838360i
\(611\) −1.20429 + 0.536183i −0.0487203 + 0.0216917i
\(612\) −5.27695 21.3120i −0.213308 0.861488i
\(613\) −21.5858 19.4359i −0.871841 0.785009i 0.105998 0.994366i \(-0.466196\pi\)
−0.977839 + 0.209357i \(0.932863\pi\)
\(614\) −17.7911 + 1.86992i −0.717989 + 0.0754637i
\(615\) −20.2180 + 20.9024i −0.815268 + 0.842864i
\(616\) −6.86114 5.47036i −0.276443 0.220407i
\(617\) 27.1148i 1.09160i 0.837916 + 0.545800i \(0.183774\pi\)
−0.837916 + 0.545800i \(0.816226\pi\)
\(618\) 7.70792 9.84920i 0.310058 0.396193i
\(619\) −32.8535 + 36.4875i −1.32049 + 1.46656i −0.539554 + 0.841951i \(0.681407\pi\)
−0.780940 + 0.624606i \(0.785260\pi\)
\(620\) −0.725691 3.41411i −0.0291445 0.137114i
\(621\) 37.1043 + 12.1559i 1.48895 + 0.487800i
\(622\) −10.3405 + 14.2324i −0.414615 + 0.570669i
\(623\) 1.15173 + 3.05804i 0.0461431 + 0.122518i
\(624\) 0.539682 + 0.263763i 0.0216046 + 0.0105590i
\(625\) 2.47855 + 23.5818i 0.0991420 + 0.943273i
\(626\) −11.2063 19.4098i −0.447893 0.775773i
\(627\) −36.4248 17.1785i −1.45467 0.686043i
\(628\) 0.0291862 0.0505520i 0.00116466 0.00201724i
\(629\) −7.26948 + 5.28158i −0.289853 + 0.210591i
\(630\) 25.3979 + 0.645316i 1.01188 + 0.0257100i
\(631\) 5.32433 16.3866i 0.211958 0.652341i −0.787397 0.616446i \(-0.788572\pi\)
0.999356 0.0358949i \(-0.0114281\pi\)
\(632\) −2.72627 6.12330i −0.108445 0.243572i
\(633\) −29.1861 34.8401i −1.16005 1.38477i
\(634\) 2.46244 + 11.5849i 0.0977961 + 0.460094i
\(635\) 59.2364 + 12.5911i 2.35073 + 0.499662i
\(636\) 1.44621 10.2300i 0.0573459 0.405647i
\(637\) 1.64711 1.78341i 0.0652611 0.0706611i
\(638\) −3.52615 + 6.30859i −0.139602 + 0.249760i
\(639\) −8.22606 + 15.4106i −0.325418 + 0.609632i
\(640\) 1.30191 2.92414i 0.0514626 0.115587i
\(641\) −10.0703 9.06731i −0.397752 0.358137i 0.445849 0.895108i \(-0.352902\pi\)
−0.843601 + 0.536971i \(0.819569\pi\)
\(642\) 0.920422 25.7579i 0.0363262 1.01658i
\(643\) 8.50492 + 6.17919i 0.335401 + 0.243683i 0.742719 0.669603i \(-0.233536\pi\)
−0.407318 + 0.913287i \(0.633536\pi\)
\(644\) −10.7221 16.7415i −0.422509 0.659706i
\(645\) 9.05854 4.80708i 0.356680 0.189279i
\(646\) −10.6673 + 50.1856i −0.419699 + 1.97453i
\(647\) 4.09139 9.18942i 0.160849 0.361273i −0.815084 0.579343i \(-0.803309\pi\)
0.975933 + 0.218070i \(0.0699760\pi\)
\(648\) 5.00848 + 7.47764i 0.196752 + 0.293750i
\(649\) −19.5903 1.78382i −0.768987 0.0700209i
\(650\) 1.81922i 0.0713555i
\(651\) −2.54304 4.30157i −0.0996694 0.168592i
\(652\) 2.96833 + 9.13559i 0.116249 + 0.357777i
\(653\) 18.4484 16.6110i 0.721941 0.650039i −0.223921 0.974607i \(-0.571886\pi\)
0.945862 + 0.324569i \(0.105219\pi\)
\(654\) 17.7493 + 21.1877i 0.694052 + 0.828504i
\(655\) −35.9383 3.77727i −1.40423 0.147590i
\(656\) 3.50981 + 3.89804i 0.137035 + 0.152193i
\(657\) −3.90321 10.7784i −0.152279 0.420505i
\(658\) 7.06610 + 7.15607i 0.275465 + 0.278973i
\(659\) 4.79076 0.186621 0.0933107 0.995637i \(-0.470255\pi\)
0.0933107 + 0.995637i \(0.470255\pi\)
\(660\) −16.9570 + 7.11090i −0.660050 + 0.276792i
\(661\) −18.4155 31.8966i −0.716281 1.24063i −0.962464 0.271411i \(-0.912510\pi\)
0.246183 0.969223i \(-0.420824\pi\)
\(662\) −10.6239 4.73005i −0.412908 0.183839i
\(663\) −3.64659 + 2.45535i −0.141622 + 0.0953579i
\(664\) 3.77673 11.6236i 0.146565 0.451082i
\(665\) −52.7276 27.2876i −2.04469 1.05817i
\(666\) 2.06465 3.05028i 0.0800037 0.118196i
\(667\) −12.1682 + 10.9563i −0.471156 + 0.424230i
\(668\) 8.82677 9.80313i 0.341518 0.379294i
\(669\) −2.22855 5.52876i −0.0861605 0.213754i
\(670\) −31.0564 17.9304i −1.19981 0.692713i
\(671\) 0.362444 0.0432011i 0.0139920 0.00166776i
\(672\) 0.431971 4.56217i 0.0166637 0.175990i
\(673\) −8.44748 11.6270i −0.325626 0.448186i 0.614548 0.788879i \(-0.289338\pi\)
−0.940175 + 0.340693i \(0.889338\pi\)
\(674\) 1.17502 5.52804i 0.0452601 0.212932i
\(675\) 13.6859 23.5719i 0.526770 0.907283i
\(676\) −1.34630 + 12.8092i −0.0517807 + 0.492660i
\(677\) 8.40774 3.74336i 0.323136 0.143869i −0.238757 0.971079i \(-0.576740\pi\)
0.561893 + 0.827210i \(0.310073\pi\)
\(678\) −8.59758 16.2014i −0.330188 0.622212i
\(679\) 26.1469 + 1.53621i 1.00343 + 0.0589544i
\(680\) 13.7693 + 18.9518i 0.528028 + 0.726769i
\(681\) −30.9663 + 8.85225i −1.18663 + 0.339219i
\(682\) 2.95519 + 2.08487i 0.113160 + 0.0798338i
\(683\) −14.8962 + 8.60034i −0.569988 + 0.329083i −0.757145 0.653247i \(-0.773406\pi\)
0.187157 + 0.982330i \(0.440073\pi\)
\(684\) −2.89321 20.8316i −0.110625 0.796517i
\(685\) 15.7574 + 48.4962i 0.602058 + 1.85294i
\(686\) −17.1611 6.96397i −0.655214 0.265886i
\(687\) −0.602694 3.43435i −0.0229942 0.131028i
\(688\) −0.752350 1.68981i −0.0286831 0.0644232i
\(689\) −2.02352 + 0.430112i −0.0770899 + 0.0163860i
\(690\) −41.5600 + 2.87226i −1.58216 + 0.109345i
\(691\) −3.04268 28.9492i −0.115749 1.10128i −0.886047 0.463595i \(-0.846559\pi\)
0.770298 0.637684i \(-0.220108\pi\)
\(692\) −4.18091 −0.158935
\(693\) −19.7643 + 17.3889i −0.750783 + 0.660549i
\(694\) −6.72971 −0.255456
\(695\) 1.02349 + 9.73781i 0.0388230 + 0.369376i
\(696\) −3.76529 + 0.260223i −0.142723 + 0.00986373i
\(697\) −37.5493 + 7.98135i −1.42228 + 0.302315i
\(698\) −0.341021 0.765945i −0.0129078 0.0289914i
\(699\) 3.34032 + 19.0343i 0.126343 + 0.719942i
\(700\) −12.9879 + 4.89156i −0.490898 + 0.184884i
\(701\) −1.46579 4.51124i −0.0553622 0.170387i 0.919552 0.392968i \(-0.128552\pi\)
−0.974914 + 0.222581i \(0.928552\pi\)
\(702\) 1.06278 1.45532i 0.0401119 0.0549275i
\(703\) −7.45422 + 4.30369i −0.281141 + 0.162317i
\(704\) 1.06868 + 3.13973i 0.0402775 + 0.118333i
\(705\) 20.2620 5.79224i 0.763111 0.218148i
\(706\) 15.5009 + 21.3351i 0.583383 + 0.802958i
\(707\) 8.43250 + 16.8118i 0.317137 + 0.632272i
\(708\) −4.81553 9.07446i −0.180979 0.341039i
\(709\) −36.2745 + 16.1505i −1.36232 + 0.606543i −0.952196 0.305487i \(-0.901181\pi\)
−0.410122 + 0.912030i \(0.634514\pi\)
\(710\) 1.94823 18.5362i 0.0731159 0.695651i
\(711\) −19.5189 + 4.83297i −0.732017 + 0.181250i
\(712\) 0.256789 1.20810i 0.00962358 0.0452754i
\(713\) 4.81620 + 6.62893i 0.180368 + 0.248255i
\(714\) 27.3345 + 19.4321i 1.02297 + 0.727227i
\(715\) 2.50140 + 2.70153i 0.0935472 + 0.101032i
\(716\) −11.8223 6.82559i −0.441819 0.255084i
\(717\) −12.2366 30.3577i −0.456985 1.13373i
\(718\) 6.28209 6.97696i 0.234445 0.260378i
\(719\) 1.57133 1.41483i 0.0586008 0.0527644i −0.639310 0.768949i \(-0.720780\pi\)
0.697911 + 0.716185i \(0.254113\pi\)
\(720\) −7.95220 5.38264i −0.296361 0.200599i
\(721\) 0.879143 + 19.0841i 0.0327410 + 0.710731i
\(722\) −9.31606 + 28.6719i −0.346708 + 1.06706i
\(723\) −33.3947 + 22.4856i −1.24196 + 0.836248i
\(724\) 21.1621 + 9.42197i 0.786483 + 0.350165i
\(725\) 5.71527 + 9.89914i 0.212260 + 0.367645i
\(726\) 7.88646 17.3437i 0.292694 0.643685i
\(727\) −3.15728 −0.117097 −0.0585486 0.998285i \(-0.518647\pi\)
−0.0585486 + 0.998285i \(0.518647\pi\)
\(728\) −0.887788 + 0.231873i −0.0329036 + 0.00859378i
\(729\) 24.7189 10.8616i 0.915516 0.402282i
\(730\) 8.18409 + 9.08935i 0.302907 + 0.336412i
\(731\) 13.4631 + 1.41503i 0.497951 + 0.0523368i
\(732\) 0.122410 + 0.146123i 0.00452440 + 0.00540086i
\(733\) −29.0301 + 26.1388i −1.07225 + 0.965460i −0.999491 0.0318893i \(-0.989848\pi\)
−0.0727607 + 0.997349i \(0.523181\pi\)
\(734\) −6.87377 21.1553i −0.253716 0.780856i
\(735\) −30.0622 + 24.5431i −1.10886 + 0.905287i
\(736\) 7.51418i 0.276976i
\(737\) 36.2347 8.23048i 1.33472 0.303173i
\(738\) 13.3584 8.31713i 0.491729 0.306158i
\(739\) −7.04919 + 15.8328i −0.259309 + 0.582417i −0.995543 0.0943098i \(-0.969936\pi\)
0.736234 + 0.676727i \(0.236602\pi\)
\(740\) −0.817087 + 3.84409i −0.0300367 + 0.141312i
\(741\) −3.71983 + 1.97400i −0.136651 + 0.0725165i
\(742\) 8.51160 + 13.2900i 0.312471 + 0.487892i
\(743\) 27.5929 + 20.0474i 1.01229 + 0.735469i 0.964687 0.263398i \(-0.0848431\pi\)
0.0475989 + 0.998867i \(0.484843\pi\)
\(744\) −0.0674474 + 1.88750i −0.00247274 + 0.0691993i
\(745\) 8.05255 + 7.25055i 0.295023 + 0.265639i
\(746\) 0.899717 2.02080i 0.0329410 0.0739866i
\(747\) −32.3455 17.2658i −1.18346 0.631723i
\(748\) −23.8104 4.71578i −0.870593 0.172426i
\(749\) 24.5829 + 30.7531i 0.898239 + 1.12369i
\(750\) −0.190590 + 1.34817i −0.00695936 + 0.0492284i
\(751\) 21.3815 + 4.54477i 0.780221 + 0.165841i 0.580771 0.814067i \(-0.302751\pi\)
0.199450 + 0.979908i \(0.436084\pi\)
\(752\) −0.790295 3.71805i −0.0288191 0.135583i
\(753\) −29.7517 35.5153i −1.08421 1.29425i
\(754\) 0.307380 + 0.690386i 0.0111941 + 0.0251424i
\(755\) 0.993587 3.05795i 0.0361603 0.111290i
\(756\) −13.2476 3.67438i −0.481811 0.133636i
\(757\) −9.32957 + 6.77833i −0.339089 + 0.246363i −0.744277 0.667871i \(-0.767206\pi\)
0.405188 + 0.914233i \(0.367206\pi\)
\(758\) 8.02060 13.8921i 0.291321 0.504584i
\(759\) 29.5760 31.4410i 1.07354 1.14124i
\(760\) 11.2199 + 19.4334i 0.406988 + 0.704925i
\(761\) −0.0732676 0.697095i −0.00265595 0.0252697i 0.993114 0.117155i \(-0.0373774\pi\)
−0.995770 + 0.0918852i \(0.970711\pi\)
\(762\) −29.4418 14.3893i −1.06656 0.521271i
\(763\) −41.6580 6.86838i −1.50812 0.248652i
\(764\) 10.7872 14.8473i 0.390267 0.537156i
\(765\) 63.2147 30.7049i 2.28553 1.11014i
\(766\) −3.56574 16.7755i −0.128835 0.606123i
\(767\) −1.37638 + 1.52863i −0.0496982 + 0.0551955i
\(768\) −1.06746 + 1.36401i −0.0385188 + 0.0492194i
\(769\) 3.10127i 0.111835i −0.998435 0.0559174i \(-0.982192\pi\)
0.998435 0.0559174i \(-0.0178084\pi\)
\(770\) 12.5612 25.1222i 0.452674 0.905342i
\(771\) 7.15853 7.40084i 0.257808 0.266535i
\(772\) −11.4479 + 1.20322i −0.412018 + 0.0433049i