Properties

Label 552.2.bb.a.13.18
Level $552$
Weight $2$
Character 552.13
Analytic conductor $4.408$
Analytic rank $0$
Dimension $480$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 552 = 2^{3} \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 552.bb (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.40774219157\)
Analytic rank: \(0\)
Dimension: \(480\)
Relative dimension: \(48\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 13.18
Character \(\chi\) \(=\) 552.13
Dual form 552.2.bb.a.85.18

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.507861 - 1.31988i) q^{2} +(-0.540641 + 0.841254i) q^{3} +(-1.48415 + 1.34063i) q^{4} +(-0.282332 - 0.128937i) q^{5} +(1.38492 + 0.286340i) q^{6} +(-2.03550 - 0.597678i) q^{7} +(2.52321 + 1.27805i) q^{8} +(-0.415415 - 0.909632i) q^{9} +O(q^{10})\) \(q+(-0.507861 - 1.31988i) q^{2} +(-0.540641 + 0.841254i) q^{3} +(-1.48415 + 1.34063i) q^{4} +(-0.282332 - 0.128937i) q^{5} +(1.38492 + 0.286340i) q^{6} +(-2.03550 - 0.597678i) q^{7} +(2.52321 + 1.27805i) q^{8} +(-0.415415 - 0.909632i) q^{9} +(-0.0267952 + 0.438126i) q^{10} +(2.44920 + 2.12224i) q^{11} +(-0.325415 - 1.97335i) q^{12} +(-0.746025 - 2.54073i) q^{13} +(0.244892 + 2.99015i) q^{14} +(0.261109 - 0.167804i) q^{15} +(0.405427 - 3.97940i) q^{16} +(-0.439560 - 3.05721i) q^{17} +(-0.989630 + 1.01026i) q^{18} +(5.09241 + 0.732178i) q^{19} +(0.591881 - 0.187141i) q^{20} +(1.60327 - 1.38925i) q^{21} +(1.55725 - 4.31044i) q^{22} +(-2.97624 - 3.76059i) q^{23} +(-2.43931 + 1.43169i) q^{24} +(-3.21122 - 3.70594i) q^{25} +(-2.97457 + 2.27500i) q^{26} +(0.989821 + 0.142315i) q^{27} +(3.82226 - 1.84181i) q^{28} +(-3.10286 + 0.446125i) q^{29} +(-0.354088 - 0.259410i) q^{30} +(7.94222 - 5.10415i) q^{31} +(-5.45822 + 1.48587i) q^{32} +(-3.10948 + 0.913025i) q^{33} +(-3.81191 + 2.13280i) q^{34} +(0.497625 + 0.431195i) q^{35} +(1.83602 + 0.793117i) q^{36} +(4.16590 - 1.90250i) q^{37} +(-1.61985 - 7.09321i) q^{38} +(2.54073 + 0.746025i) q^{39} +(-0.547596 - 0.686169i) q^{40} +(2.96470 - 6.49179i) q^{41} +(-2.64787 - 1.41058i) q^{42} +(6.68988 - 10.4097i) q^{43} +(-6.48012 + 0.133732i) q^{44} +0.310381i q^{45} +(-3.45200 + 5.83813i) q^{46} -9.79663 q^{47} +(3.12849 + 2.49249i) q^{48} +(-2.10272 - 1.35134i) q^{49} +(-3.26054 + 6.12052i) q^{50} +(2.80953 + 1.28307i) q^{51} +(4.51339 + 2.77069i) q^{52} +(0.793158 - 2.70125i) q^{53} +(-0.314854 - 1.37872i) q^{54} +(-0.417852 - 0.914968i) q^{55} +(-4.37214 - 4.10954i) q^{56} +(-3.36911 + 3.88816i) q^{57} +(2.16465 + 3.86883i) q^{58} +(3.65887 + 12.4610i) q^{59} +(-0.162562 + 0.599098i) q^{60} +(-4.26144 - 6.63092i) q^{61} +(-10.7704 - 7.89055i) q^{62} +(0.301912 + 2.09984i) q^{63} +(4.73319 + 6.44957i) q^{64} +(-0.116966 + 0.813519i) q^{65} +(2.78426 + 3.64044i) q^{66} +(-2.86686 + 2.48415i) q^{67} +(4.75096 + 3.94808i) q^{68} +(4.77268 - 0.470644i) q^{69} +(0.316400 - 0.875792i) q^{70} +(4.09465 + 4.72548i) q^{71} +(0.114374 - 2.82611i) q^{72} +(-1.30557 + 9.08045i) q^{73} +(-4.62677 - 4.53227i) q^{74} +(4.85375 - 0.697864i) q^{75} +(-8.53950 + 5.74037i) q^{76} +(-3.71693 - 5.78366i) q^{77} +(-0.305675 - 3.73233i) q^{78} +(1.58653 - 0.465846i) q^{79} +(-0.627556 + 1.07124i) q^{80} +(-0.654861 + 0.755750i) q^{81} +(-10.0740 - 0.616115i) q^{82} +(-3.67870 + 1.68001i) q^{83} +(-0.517044 + 4.21125i) q^{84} +(-0.270085 + 0.919824i) q^{85} +(-17.1370 - 3.54316i) q^{86} +(1.30223 - 2.85149i) q^{87} +(3.46751 + 8.48505i) q^{88} +(2.05200 + 1.31874i) q^{89} +(0.409664 - 0.157630i) q^{90} +5.61754i q^{91} +(9.45875 + 1.59126i) q^{92} +9.44093i q^{93} +(4.97533 + 12.9304i) q^{94} +(-1.34335 - 0.863317i) q^{95} +(1.70094 - 5.39507i) q^{96} +(5.20118 - 11.3890i) q^{97} +(-0.715709 + 3.46162i) q^{98} +(0.913025 - 3.10948i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480q + 4q^{2} + 4q^{6} + 8q^{7} + 4q^{8} + 48q^{9} + O(q^{10}) \) \( 480q + 4q^{2} + 4q^{6} + 8q^{7} + 4q^{8} + 48q^{9} - 4q^{10} - 4q^{14} - 8q^{15} - 8q^{16} - 4q^{18} + 20q^{20} + 20q^{22} - 8q^{23} - 4q^{24} + 48q^{25} + 16q^{30} + 16q^{31} + 4q^{32} + 6q^{34} - 22q^{36} + 90q^{38} - 74q^{40} + 90q^{42} - 130q^{44} + 96q^{46} - 88q^{48} - 48q^{49} + 142q^{50} - 142q^{52} + 18q^{54} - 82q^{56} + 22q^{58} + 2q^{60} - 40q^{62} - 8q^{63} + 16q^{66} - 44q^{68} + 16q^{71} - 4q^{72} + 10q^{74} - 138q^{76} - 40q^{79} - 170q^{80} - 48q^{81} - 124q^{82} - 8q^{84} - 216q^{86} - 108q^{88} + 4q^{90} - 198q^{92} - 238q^{94} + 80q^{95} + 4q^{96} - 132q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(185\) \(277\) \(415\)
\(\chi(n)\) \(e\left(\frac{7}{11}\right)\) \(1\) \(-1\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.507861 1.31988i −0.359112 0.933294i
\(3\) −0.540641 + 0.841254i −0.312139 + 0.485698i
\(4\) −1.48415 + 1.34063i −0.742077 + 0.670315i
\(5\) −0.282332 0.128937i −0.126263 0.0576623i 0.351282 0.936270i \(-0.385746\pi\)
−0.477545 + 0.878607i \(0.658473\pi\)
\(6\) 1.38492 + 0.286340i 0.565392 + 0.116898i
\(7\) −2.03550 0.597678i −0.769348 0.225901i −0.126574 0.991957i \(-0.540398\pi\)
−0.642774 + 0.766056i \(0.722216\pi\)
\(8\) 2.52321 + 1.27805i 0.892090 + 0.451858i
\(9\) −0.415415 0.909632i −0.138472 0.303211i
\(10\) −0.0267952 + 0.438126i −0.00847340 + 0.138548i
\(11\) 2.44920 + 2.12224i 0.738461 + 0.639880i 0.940615 0.339474i \(-0.110249\pi\)
−0.202155 + 0.979354i \(0.564794\pi\)
\(12\) −0.325415 1.97335i −0.0939392 0.569657i
\(13\) −0.746025 2.54073i −0.206910 0.704671i −0.995916 0.0902853i \(-0.971222\pi\)
0.789006 0.614386i \(-0.210596\pi\)
\(14\) 0.244892 + 2.99015i 0.0654500 + 0.799152i
\(15\) 0.261109 0.167804i 0.0674180 0.0433269i
\(16\) 0.405427 3.97940i 0.101357 0.994850i
\(17\) −0.439560 3.05721i −0.106609 0.741482i −0.971072 0.238786i \(-0.923251\pi\)
0.864463 0.502696i \(-0.167659\pi\)
\(18\) −0.989630 + 1.01026i −0.233258 + 0.238121i
\(19\) 5.09241 + 0.732178i 1.16828 + 0.167973i 0.699030 0.715092i \(-0.253615\pi\)
0.469250 + 0.883066i \(0.344524\pi\)
\(20\) 0.591881 0.187141i 0.132349 0.0418459i
\(21\) 1.60327 1.38925i 0.349863 0.303158i
\(22\) 1.55725 4.31044i 0.332006 0.918990i
\(23\) −2.97624 3.76059i −0.620588 0.784136i
\(24\) −2.43931 + 1.43169i −0.497923 + 0.292244i
\(25\) −3.21122 3.70594i −0.642243 0.741188i
\(26\) −2.97457 + 2.27500i −0.583362 + 0.446164i
\(27\) 0.989821 + 0.142315i 0.190491 + 0.0273885i
\(28\) 3.82226 1.84181i 0.722340 0.348069i
\(29\) −3.10286 + 0.446125i −0.576188 + 0.0828433i −0.424247 0.905546i \(-0.639461\pi\)
−0.151940 + 0.988390i \(0.548552\pi\)
\(30\) −0.354088 0.259410i −0.0646474 0.0473616i
\(31\) 7.94222 5.10415i 1.42646 0.916733i 0.426540 0.904469i \(-0.359732\pi\)
0.999925 0.0122642i \(-0.00390390\pi\)
\(32\) −5.45822 + 1.48587i −0.964887 + 0.262667i
\(33\) −3.10948 + 0.913025i −0.541291 + 0.158937i
\(34\) −3.81191 + 2.13280i −0.653737 + 0.365773i
\(35\) 0.497625 + 0.431195i 0.0841140 + 0.0728852i
\(36\) 1.83602 + 0.793117i 0.306003 + 0.132186i
\(37\) 4.16590 1.90250i 0.684869 0.312769i −0.0424206 0.999100i \(-0.513507\pi\)
0.727290 + 0.686331i \(0.240780\pi\)
\(38\) −1.61985 7.09321i −0.262775 1.15067i
\(39\) 2.54073 + 0.746025i 0.406842 + 0.119460i
\(40\) −0.547596 0.686169i −0.0865826 0.108493i
\(41\) 2.96470 6.49179i 0.463009 1.01385i −0.523783 0.851852i \(-0.675480\pi\)
0.986791 0.161996i \(-0.0517930\pi\)
\(42\) −2.64787 1.41058i −0.408576 0.217658i
\(43\) 6.68988 10.4097i 1.02020 1.58746i 0.231348 0.972871i \(-0.425686\pi\)
0.788849 0.614587i \(-0.210677\pi\)
\(44\) −6.48012 + 0.133732i −0.976915 + 0.0201609i
\(45\) 0.310381i 0.0462688i
\(46\) −3.45200 + 5.83813i −0.508969 + 0.860785i
\(47\) −9.79663 −1.42899 −0.714493 0.699643i \(-0.753342\pi\)
−0.714493 + 0.699643i \(0.753342\pi\)
\(48\) 3.12849 + 2.49249i 0.451559 + 0.359760i
\(49\) −2.10272 1.35134i −0.300389 0.193048i
\(50\) −3.26054 + 6.12052i −0.461110 + 0.865572i
\(51\) 2.80953 + 1.28307i 0.393413 + 0.179666i
\(52\) 4.51339 + 2.77069i 0.625894 + 0.384225i
\(53\) 0.793158 2.70125i 0.108949 0.371045i −0.886912 0.461938i \(-0.847154\pi\)
0.995861 + 0.0908935i \(0.0289723\pi\)
\(54\) −0.314854 1.37872i −0.0428462 0.187620i
\(55\) −0.417852 0.914968i −0.0563432 0.123374i
\(56\) −4.37214 4.10954i −0.584252 0.549160i
\(57\) −3.36911 + 3.88816i −0.446250 + 0.515000i
\(58\) 2.16465 + 3.86883i 0.284233 + 0.508003i
\(59\) 3.65887 + 12.4610i 0.476344 + 1.62228i 0.750695 + 0.660649i \(0.229719\pi\)
−0.274350 + 0.961630i \(0.588463\pi\)
\(60\) −0.162562 + 0.599098i −0.0209867 + 0.0773432i
\(61\) −4.26144 6.63092i −0.545621 0.849003i 0.453486 0.891264i \(-0.350180\pi\)
−0.999107 + 0.0422608i \(0.986544\pi\)
\(62\) −10.7704 7.89055i −1.36784 1.00210i
\(63\) 0.301912 + 2.09984i 0.0380373 + 0.264555i
\(64\) 4.73319 + 6.44957i 0.591648 + 0.806196i
\(65\) −0.116966 + 0.813519i −0.0145079 + 0.100905i
\(66\) 2.78426 + 3.64044i 0.342719 + 0.448107i
\(67\) −2.86686 + 2.48415i −0.350243 + 0.303487i −0.812159 0.583437i \(-0.801708\pi\)
0.461916 + 0.886924i \(0.347162\pi\)
\(68\) 4.75096 + 3.94808i 0.576139 + 0.478775i
\(69\) 4.77268 0.470644i 0.574563 0.0566589i
\(70\) 0.316400 0.875792i 0.0378170 0.104677i
\(71\) 4.09465 + 4.72548i 0.485946 + 0.560811i 0.944778 0.327712i \(-0.106278\pi\)
−0.458832 + 0.888523i \(0.651732\pi\)
\(72\) 0.114374 2.82611i 0.0134791 0.333061i
\(73\) −1.30557 + 9.08045i −0.152806 + 1.06279i 0.758683 + 0.651460i \(0.225843\pi\)
−0.911488 + 0.411326i \(0.865066\pi\)
\(74\) −4.62677 4.53227i −0.537851 0.526865i
\(75\) 4.85375 0.697864i 0.560463 0.0805824i
\(76\) −8.53950 + 5.74037i −0.979548 + 0.658466i
\(77\) −3.71693 5.78366i −0.423584 0.659109i
\(78\) −0.305675 3.73233i −0.0346109 0.422603i
\(79\) 1.58653 0.465846i 0.178498 0.0524118i −0.191262 0.981539i \(-0.561258\pi\)
0.369760 + 0.929127i \(0.379440\pi\)
\(80\) −0.627556 + 1.07124i −0.0701629 + 0.119768i
\(81\) −0.654861 + 0.755750i −0.0727623 + 0.0839722i
\(82\) −10.0740 0.616115i −1.11249 0.0680385i
\(83\) −3.67870 + 1.68001i −0.403790 + 0.184405i −0.606948 0.794741i \(-0.707607\pi\)
0.203159 + 0.979146i \(0.434879\pi\)
\(84\) −0.517044 + 4.21125i −0.0564141 + 0.459485i
\(85\) −0.270085 + 0.919824i −0.0292948 + 0.0997689i
\(86\) −17.1370 3.54316i −1.84793 0.382069i
\(87\) 1.30223 2.85149i 0.139614 0.305712i
\(88\) 3.46751 + 8.48505i 0.369638 + 0.904510i
\(89\) 2.05200 + 1.31874i 0.217512 + 0.139786i 0.644860 0.764301i \(-0.276916\pi\)
−0.427348 + 0.904087i \(0.640552\pi\)
\(90\) 0.409664 0.157630i 0.0431824 0.0166157i
\(91\) 5.61754i 0.588878i
\(92\) 9.45875 + 1.59126i 0.986143 + 0.165900i
\(93\) 9.44093i 0.978979i
\(94\) 4.97533 + 12.9304i 0.513166 + 1.33366i
\(95\) −1.34335 0.863317i −0.137825 0.0885744i
\(96\) 1.70094 5.39507i 0.173602 0.550632i
\(97\) 5.20118 11.3890i 0.528099 1.15638i −0.438182 0.898886i \(-0.644377\pi\)
0.966281 0.257490i \(-0.0828954\pi\)
\(98\) −0.715709 + 3.46162i −0.0722975 + 0.349677i
\(99\) 0.913025 3.10948i 0.0917625 0.312514i
\(100\) 9.73423 + 1.19514i 0.973423 + 0.119514i
\(101\) 3.56977 1.63026i 0.355206 0.162217i −0.229817 0.973234i \(-0.573813\pi\)
0.585023 + 0.811017i \(0.301086\pi\)
\(102\) 0.266644 4.35986i 0.0264017 0.431691i
\(103\) −1.71994 + 1.98492i −0.169471 + 0.195580i −0.834132 0.551566i \(-0.814031\pi\)
0.664661 + 0.747145i \(0.268576\pi\)
\(104\) 1.36479 7.36425i 0.133829 0.722124i
\(105\) −0.631781 + 0.185508i −0.0616555 + 0.0181037i
\(106\) −3.96813 + 0.324987i −0.385419 + 0.0315656i
\(107\) 3.82103 + 5.94564i 0.369393 + 0.574787i 0.975337 0.220720i \(-0.0708408\pi\)
−0.605944 + 0.795507i \(0.707204\pi\)
\(108\) −1.65984 + 1.11577i −0.159718 + 0.107365i
\(109\) −6.31166 + 0.907480i −0.604548 + 0.0869208i −0.437790 0.899077i \(-0.644239\pi\)
−0.166757 + 0.985998i \(0.553330\pi\)
\(110\) −0.995436 + 1.01619i −0.0949111 + 0.0968900i
\(111\) −0.651768 + 4.53314i −0.0618631 + 0.430267i
\(112\) −3.20365 + 7.85777i −0.302716 + 0.742489i
\(113\) 8.79321 + 10.1479i 0.827196 + 0.954635i 0.999538 0.0304024i \(-0.00967886\pi\)
−0.172342 + 0.985037i \(0.555133\pi\)
\(114\) 6.84294 + 2.47217i 0.640900 + 0.231540i
\(115\) 0.355410 + 1.44548i 0.0331421 + 0.134792i
\(116\) 4.00704 4.82191i 0.372044 0.447703i
\(117\) −2.00122 + 1.73406i −0.185013 + 0.160314i
\(118\) 14.5887 11.1577i 1.34300 1.02715i
\(119\) −0.932499 + 6.48568i −0.0854821 + 0.594541i
\(120\) 0.873295 0.0896963i 0.0797205 0.00818812i
\(121\) −0.0708058 0.492465i −0.00643689 0.0447696i
\(122\) −6.58779 + 8.99216i −0.596431 + 0.814112i
\(123\) 3.85840 + 6.00379i 0.347901 + 0.541344i
\(124\) −4.94470 + 18.2229i −0.444047 + 1.63647i
\(125\) 0.866019 + 2.94939i 0.0774591 + 0.263802i
\(126\) 2.61821 1.46492i 0.233248 0.130505i
\(127\) 12.9567 14.9528i 1.14972 1.32685i 0.212887 0.977077i \(-0.431713\pi\)
0.936834 0.349773i \(-0.113741\pi\)
\(128\) 6.10884 9.52271i 0.539951 0.841697i
\(129\) 5.14034 + 11.2558i 0.452582 + 0.991015i
\(130\) 1.13315 0.258773i 0.0993837 0.0226959i
\(131\) 1.82660 6.22083i 0.159591 0.543516i −0.840408 0.541954i \(-0.817685\pi\)
0.999999 0.00156190i \(-0.000497168\pi\)
\(132\) 3.39092 5.52373i 0.295141 0.480779i
\(133\) −9.92802 4.53397i −0.860868 0.393145i
\(134\) 4.73474 + 2.52230i 0.409019 + 0.217894i
\(135\) −0.261109 0.167804i −0.0224727 0.0144423i
\(136\) 2.79816 8.27576i 0.239940 0.709641i
\(137\) −9.47639 −0.809623 −0.404811 0.914400i \(-0.632663\pi\)
−0.404811 + 0.914400i \(0.632663\pi\)
\(138\) −3.04505 6.06033i −0.259212 0.515890i
\(139\) 8.33370i 0.706855i 0.935462 + 0.353427i \(0.114984\pi\)
−0.935462 + 0.353427i \(0.885016\pi\)
\(140\) −1.31663 + 0.0271715i −0.111275 + 0.00229641i
\(141\) 5.29646 8.24145i 0.446042 0.694055i
\(142\) 4.15754 7.80432i 0.348893 0.654924i
\(143\) 3.56487 7.80599i 0.298110 0.652769i
\(144\) −3.78821 + 1.28431i −0.315684 + 0.107026i
\(145\) 0.933560 + 0.274118i 0.0775280 + 0.0227643i
\(146\) 12.6481 2.88841i 1.04677 0.239047i
\(147\) 2.27363 1.03833i 0.187526 0.0856403i
\(148\) −3.63228 + 8.40853i −0.298572 + 0.691177i
\(149\) −16.7180 14.4862i −1.36959 1.18676i −0.961822 0.273676i \(-0.911760\pi\)
−0.407772 0.913084i \(-0.633694\pi\)
\(150\) −3.38613 6.05194i −0.276476 0.494139i
\(151\) 22.6227 6.64263i 1.84101 0.540570i 0.841012 0.541016i \(-0.181960\pi\)
1.00000 0.000446619i \(0.000142163\pi\)
\(152\) 11.9135 + 8.35579i 0.966310 + 0.677744i
\(153\) −2.59834 + 1.66985i −0.210063 + 0.134999i
\(154\) −5.74604 + 7.84319i −0.463029 + 0.632022i
\(155\) −2.90046 + 0.417023i −0.232970 + 0.0334961i
\(156\) −4.77097 + 2.29896i −0.381984 + 0.184064i
\(157\) −2.42589 0.348791i −0.193607 0.0278365i 0.0448290 0.998995i \(-0.485726\pi\)
−0.238436 + 0.971158i \(0.576635\pi\)
\(158\) −1.42059 1.85744i −0.113016 0.147770i
\(159\) 1.84362 + 2.12765i 0.146209 + 0.168734i
\(160\) 1.73262 + 0.284257i 0.136975 + 0.0224725i
\(161\) 3.81052 + 9.43352i 0.300311 + 0.743465i
\(162\) 1.33008 + 0.480520i 0.104501 + 0.0377532i
\(163\) −13.7415 + 11.9070i −1.07631 + 0.932631i −0.997931 0.0642923i \(-0.979521\pi\)
−0.0783825 + 0.996923i \(0.524976\pi\)
\(164\) 4.30301 + 13.6094i 0.336009 + 1.06271i
\(165\) 0.995628 + 0.143150i 0.0775096 + 0.0111442i
\(166\) 4.08567 + 4.00222i 0.317109 + 0.310633i
\(167\) −0.763769 5.31213i −0.0591022 0.411065i −0.997798 0.0663195i \(-0.978874\pi\)
0.938696 0.344745i \(-0.112035\pi\)
\(168\) 5.82092 1.45630i 0.449094 0.112356i
\(169\) 5.03755 3.23744i 0.387504 0.249034i
\(170\) 1.35122 0.110664i 0.103634 0.00848755i
\(171\) −1.44945 4.93638i −0.110842 0.377494i
\(172\) 4.02668 + 24.4182i 0.307031 + 1.86187i
\(173\) −0.491897 0.426231i −0.0373982 0.0324058i 0.635961 0.771721i \(-0.280604\pi\)
−0.673359 + 0.739315i \(0.735149\pi\)
\(174\) −4.42497 0.270626i −0.335456 0.0205161i
\(175\) 4.32148 + 9.46273i 0.326673 + 0.715315i
\(176\) 9.43822 8.88592i 0.711432 0.669802i
\(177\) −12.4610 3.65887i −0.936623 0.275017i
\(178\) 0.698446 3.37813i 0.0523507 0.253202i
\(179\) 8.62260 + 3.93781i 0.644483 + 0.294326i 0.710717 0.703479i \(-0.248371\pi\)
−0.0662333 + 0.997804i \(0.521098\pi\)
\(180\) −0.416105 0.460653i −0.0310147 0.0343350i
\(181\) −2.03281 + 3.16311i −0.151097 + 0.235112i −0.908548 0.417780i \(-0.862808\pi\)
0.757451 + 0.652892i \(0.226445\pi\)
\(182\) 7.41447 2.85293i 0.549597 0.211473i
\(183\) 7.88219 0.582669
\(184\) −2.70346 13.2925i −0.199302 0.979938i
\(185\) −1.42147 −0.104508
\(186\) 12.4609 4.79468i 0.913676 0.351563i
\(187\) 5.41157 8.42056i 0.395733 0.615772i
\(188\) 14.5397 13.1337i 1.06042 0.957870i
\(189\) −1.92973 0.881276i −0.140367 0.0641034i
\(190\) −0.457239 + 2.21150i −0.0331716 + 0.160439i
\(191\) −17.9601 5.27356i −1.29955 0.381581i −0.442476 0.896780i \(-0.645900\pi\)
−0.857071 + 0.515199i \(0.827718\pi\)
\(192\) −7.98468 + 0.494908i −0.576244 + 0.0357169i
\(193\) 1.09583 + 2.39952i 0.0788792 + 0.172721i 0.944963 0.327178i \(-0.106098\pi\)
−0.866084 + 0.499899i \(0.833370\pi\)
\(194\) −17.6735 1.08089i −1.26889 0.0776035i
\(195\) −0.621139 0.538220i −0.0444807 0.0385427i
\(196\) 4.93240 0.813377i 0.352314 0.0580984i
\(197\) 2.65182 + 9.03127i 0.188934 + 0.643451i 0.998414 + 0.0563031i \(0.0179313\pi\)
−0.809479 + 0.587148i \(0.800251\pi\)
\(198\) −4.56782 + 0.374102i −0.324621 + 0.0265863i
\(199\) −10.7606 + 6.91539i −0.762796 + 0.490219i −0.863283 0.504719i \(-0.831596\pi\)
0.100488 + 0.994938i \(0.467960\pi\)
\(200\) −3.36620 13.4550i −0.238027 0.951410i
\(201\) −0.539857 3.75479i −0.0380786 0.264842i
\(202\) −3.96469 3.88372i −0.278955 0.273257i
\(203\) 6.58253 + 0.946425i 0.462003 + 0.0664260i
\(204\) −5.88990 + 1.86227i −0.412376 + 0.130385i
\(205\) −1.67406 + 1.45058i −0.116922 + 0.101313i
\(206\) 3.49334 + 1.26205i 0.243392 + 0.0879311i
\(207\) −2.18438 + 4.26949i −0.151825 + 0.296750i
\(208\) −10.4130 + 1.93865i −0.722014 + 0.134421i
\(209\) 10.9185 + 12.6006i 0.755246 + 0.871600i
\(210\) 0.565704 + 0.739661i 0.0390373 + 0.0510415i
\(211\) −22.1431 3.18369i −1.52439 0.219175i −0.671399 0.741096i \(-0.734306\pi\)
−0.852994 + 0.521921i \(0.825215\pi\)
\(212\) 2.44420 + 5.07240i 0.167869 + 0.348374i
\(213\) −6.18906 + 0.889853i −0.424067 + 0.0609717i
\(214\) 5.90697 8.06286i 0.403792 0.551166i
\(215\) −3.23096 + 2.07641i −0.220349 + 0.141610i
\(216\) 2.31564 + 1.62413i 0.157560 + 0.110508i
\(217\) −19.2170 + 5.64263i −1.30454 + 0.383047i
\(218\) 4.40321 + 7.86975i 0.298223 + 0.533007i
\(219\) −6.93311 6.00758i −0.468496 0.405954i
\(220\) 1.84679 + 0.797769i 0.124511 + 0.0537856i
\(221\) −7.43961 + 3.39756i −0.500443 + 0.228544i
\(222\) 6.31420 1.44195i 0.423782 0.0967776i
\(223\) −12.2796 3.60562i −0.822303 0.241450i −0.156596 0.987663i \(-0.550052\pi\)
−0.665707 + 0.746213i \(0.731870\pi\)
\(224\) 11.9983 + 0.237765i 0.801670 + 0.0158864i
\(225\) −2.03706 + 4.46053i −0.135804 + 0.297369i
\(226\) 8.92827 16.7597i 0.593899 1.11484i
\(227\) −9.00232 + 14.0079i −0.597505 + 0.929736i 0.402393 + 0.915467i \(0.368178\pi\)
−0.999898 + 0.0142690i \(0.995458\pi\)
\(228\) −0.212303 10.2874i −0.0140601 0.681298i
\(229\) 9.55860i 0.631650i 0.948817 + 0.315825i \(0.102281\pi\)
−0.948817 + 0.315825i \(0.897719\pi\)
\(230\) 1.72736 1.20320i 0.113899 0.0793367i
\(231\) 6.87505 0.452345
\(232\) −8.39935 2.83994i −0.551444 0.186452i
\(233\) −0.768576 0.493934i −0.0503511 0.0323587i 0.515223 0.857056i \(-0.327709\pi\)
−0.565574 + 0.824697i \(0.691345\pi\)
\(234\) 3.30509 + 1.76070i 0.216061 + 0.115100i
\(235\) 2.76590 + 1.26315i 0.180428 + 0.0823986i
\(236\) −22.1359 13.5888i −1.44092 0.884556i
\(237\) −0.465846 + 1.58653i −0.0302600 + 0.103056i
\(238\) 9.03388 2.06304i 0.585579 0.133727i
\(239\) 9.22254 + 20.1945i 0.596556 + 1.30628i 0.931398 + 0.364002i \(0.118590\pi\)
−0.334842 + 0.942274i \(0.608683\pi\)
\(240\) −0.561901 1.10709i −0.0362705 0.0714623i
\(241\) −12.4181 + 14.3313i −0.799921 + 0.923158i −0.998377 0.0569516i \(-0.981862\pi\)
0.198456 + 0.980110i \(0.436407\pi\)
\(242\) −0.614034 + 0.343559i −0.0394716 + 0.0220848i
\(243\) −0.281733 0.959493i −0.0180732 0.0615515i
\(244\) 15.2142 + 4.12831i 0.973992 + 0.264288i
\(245\) 0.419429 + 0.652644i 0.0267963 + 0.0416959i
\(246\) 5.96474 8.14171i 0.380298 0.519097i
\(247\) −1.93880 13.4847i −0.123363 0.858008i
\(248\) 26.5632 2.72832i 1.68677 0.173248i
\(249\) 0.575544 4.00300i 0.0364736 0.253680i
\(250\) 3.45302 2.64092i 0.218388 0.167026i
\(251\) 3.17575 2.75180i 0.200451 0.173692i −0.548851 0.835920i \(-0.684934\pi\)
0.749302 + 0.662228i \(0.230389\pi\)
\(252\) −3.26319 2.71174i −0.205562 0.170823i
\(253\) 0.691479 15.5267i 0.0434729 0.976156i
\(254\) −26.3161 9.50730i −1.65122 0.596541i
\(255\) −0.627787 0.724504i −0.0393135 0.0453702i
\(256\) −15.6713 3.22671i −0.979454 0.201669i
\(257\) 0.0190142 0.132247i 0.00118607 0.00824933i −0.989220 0.146438i \(-0.953219\pi\)
0.990406 + 0.138189i \(0.0441281\pi\)
\(258\) 12.2457 12.5010i 0.762382 0.778278i
\(259\) −9.61678 + 1.38268i −0.597557 + 0.0859158i
\(260\) −0.917031 1.36420i −0.0568719 0.0846039i
\(261\) 1.69479 + 2.63714i 0.104905 + 0.163235i
\(262\) −9.13839 + 0.748428i −0.564571 + 0.0462380i
\(263\) −21.2656 + 6.24415i −1.31129 + 0.385031i −0.861344 0.508023i \(-0.830377\pi\)
−0.449951 + 0.893053i \(0.648558\pi\)
\(264\) −9.01276 1.67031i −0.554697 0.102800i
\(265\) −0.572224 + 0.660382i −0.0351514 + 0.0405669i
\(266\) −0.942236 + 15.4064i −0.0577722 + 0.944627i
\(267\) −2.21879 + 1.01329i −0.135788 + 0.0620123i
\(268\) 0.924541 7.53026i 0.0564753 0.459984i
\(269\) 2.75651 9.38781i 0.168067 0.572385i −0.831783 0.555101i \(-0.812680\pi\)
0.999851 0.0172843i \(-0.00550205\pi\)
\(270\) −0.0888743 + 0.429853i −0.00540872 + 0.0261600i
\(271\) −2.04849 + 4.48556i −0.124437 + 0.272478i −0.961590 0.274490i \(-0.911491\pi\)
0.837153 + 0.546968i \(0.184218\pi\)
\(272\) −12.3441 + 0.509713i −0.748469 + 0.0309059i
\(273\) −4.72578 3.03707i −0.286017 0.183812i
\(274\) 4.81269 + 12.5077i 0.290745 + 0.755616i
\(275\) 15.8916i 0.958297i
\(276\) −6.45244 + 7.09691i −0.388391 + 0.427183i
\(277\) 11.8332i 0.710987i −0.934679 0.355494i \(-0.884313\pi\)
0.934679 0.355494i \(-0.115687\pi\)
\(278\) 10.9995 4.23236i 0.659704 0.253840i
\(279\) −7.94222 5.10415i −0.475488 0.305578i
\(280\) 0.704526 + 1.72398i 0.0421035 + 0.103028i
\(281\) 13.3432 29.2175i 0.795986 1.74297i 0.137327 0.990526i \(-0.456149\pi\)
0.658659 0.752442i \(-0.271124\pi\)
\(282\) −13.5676 2.80516i −0.807937 0.167045i
\(283\) 6.37463 21.7100i 0.378933 1.29053i −0.520648 0.853771i \(-0.674310\pi\)
0.899581 0.436755i \(-0.143872\pi\)
\(284\) −12.4122 1.52393i −0.736529 0.0904286i
\(285\) 1.45254 0.663351i 0.0860408 0.0392935i
\(286\) −12.1134 0.740841i −0.716281 0.0438068i
\(287\) −9.91466 + 11.4421i −0.585244 + 0.675407i
\(288\) 3.61902 + 4.34772i 0.213253 + 0.256192i
\(289\) 7.15806 2.10180i 0.421062 0.123635i
\(290\) −0.112317 1.37140i −0.00659547 0.0805314i
\(291\) 6.76906 + 10.5329i 0.396809 + 0.617447i
\(292\) −10.2358 15.2271i −0.599008 0.891097i
\(293\) 7.26497 1.04455i 0.424424 0.0610230i 0.0732066 0.997317i \(-0.476677\pi\)
0.351218 + 0.936294i \(0.385768\pi\)
\(294\) −2.52516 2.47359i −0.147270 0.144263i
\(295\) 0.573660 3.98989i 0.0333998 0.232301i
\(296\) 12.9429 + 0.523805i 0.752292 + 0.0304456i
\(297\) 2.12224 + 2.44920i 0.123145 + 0.142117i
\(298\) −10.6296 + 29.4227i −0.615759 + 1.70441i
\(299\) −7.33428 + 10.3673i −0.424152 + 0.599556i
\(300\) −6.26814 + 7.54282i −0.361891 + 0.435485i
\(301\) −19.8389 + 17.1905i −1.14349 + 0.990844i
\(302\) −20.2567 26.4857i −1.16564 1.52408i
\(303\) −0.558503 + 3.88447i −0.0320851 + 0.223157i
\(304\) 4.97823 19.9679i 0.285521 1.14524i
\(305\) 0.348171 + 2.42158i 0.0199362 + 0.138659i
\(306\) 3.52359 + 2.58143i 0.201430 + 0.147571i
\(307\) −9.32588 14.5113i −0.532256 0.828206i 0.466147 0.884707i \(-0.345642\pi\)
−0.998403 + 0.0565012i \(0.982006\pi\)
\(308\) 13.2702 + 3.60081i 0.756142 + 0.205175i
\(309\) −0.739949 2.52003i −0.0420942 0.143360i
\(310\) 2.02345 + 3.61646i 0.114924 + 0.205401i
\(311\) −5.10731 + 5.89415i −0.289609 + 0.334227i −0.881846 0.471537i \(-0.843699\pi\)
0.592237 + 0.805764i \(0.298245\pi\)
\(312\) 5.45734 + 5.12955i 0.308961 + 0.290404i
\(313\) −9.64947 21.1294i −0.545421 1.19430i −0.958888 0.283785i \(-0.908410\pi\)
0.413467 0.910519i \(-0.364318\pi\)
\(314\) 0.771655 + 3.37902i 0.0435470 + 0.190689i
\(315\) 0.185508 0.631781i 0.0104522 0.0355968i
\(316\) −1.73012 + 2.81833i −0.0973270 + 0.158544i
\(317\) 16.7062 + 7.62945i 0.938312 + 0.428513i 0.825055 0.565053i \(-0.191144\pi\)
0.113257 + 0.993566i \(0.463872\pi\)
\(318\) 1.87194 3.51390i 0.104973 0.197050i
\(319\) −8.54631 5.49238i −0.478502 0.307514i
\(320\) −0.504744 2.43120i −0.0282160 0.135908i
\(321\) −7.06760 −0.394475
\(322\) 10.5159 9.82034i 0.586027 0.547266i
\(323\) 15.8904i 0.884166i
\(324\) −0.0412657 1.99957i −0.00229254 0.111087i
\(325\) −7.02014 + 10.9236i −0.389407 + 0.605930i
\(326\) 22.6946 + 12.0899i 1.25694 + 0.669598i
\(327\) 2.64892 5.80033i 0.146486 0.320759i
\(328\) 15.7774 12.5911i 0.871161 0.695229i
\(329\) 19.9411 + 5.85523i 1.09939 + 0.322809i
\(330\) −0.316701 1.38681i −0.0174338 0.0763413i
\(331\) 5.21621 2.38217i 0.286709 0.130936i −0.266869 0.963733i \(-0.585989\pi\)
0.553578 + 0.832797i \(0.313262\pi\)
\(332\) 3.20749 7.42516i 0.176034 0.407508i
\(333\) −3.46115 2.99910i −0.189670 0.164350i
\(334\) −6.62347 + 3.70591i −0.362420 + 0.202778i
\(335\) 1.12971 0.331711i 0.0617224 0.0181233i
\(336\) −4.87835 6.94331i −0.266136 0.378789i
\(337\) 6.14780 3.95095i 0.334892 0.215222i −0.362377 0.932032i \(-0.618035\pi\)
0.697269 + 0.716810i \(0.254398\pi\)
\(338\) −6.83140 5.00478i −0.371579 0.272224i
\(339\) −13.2909 + 1.91095i −0.721864 + 0.103788i
\(340\) −0.832296 1.72724i −0.0451376 0.0936730i
\(341\) 30.2843 + 4.35422i 1.63999 + 0.235794i
\(342\) −5.77930 + 4.42009i −0.312509 + 0.239011i
\(343\) 13.1971 + 15.2303i 0.712579 + 0.822360i
\(344\) 30.1840 17.7158i 1.62741 0.955170i
\(345\) −1.40817 0.482496i −0.0758131 0.0259767i
\(346\) −0.312758 + 0.865710i −0.0168140 + 0.0465409i
\(347\) 2.40912 2.08752i 0.129329 0.112064i −0.587795 0.809010i \(-0.700004\pi\)
0.717123 + 0.696946i \(0.245458\pi\)
\(348\) 1.89008 + 5.97786i 0.101319 + 0.320447i
\(349\) −1.53362 0.220502i −0.0820929 0.0118032i 0.101146 0.994872i \(-0.467749\pi\)
−0.183239 + 0.983068i \(0.558658\pi\)
\(350\) 10.2949 10.5096i 0.550287 0.561761i
\(351\) −0.376848 2.62104i −0.0201147 0.139901i
\(352\) −16.5216 7.94448i −0.880606 0.423442i
\(353\) 2.30810 1.48333i 0.122848 0.0789495i −0.477774 0.878483i \(-0.658556\pi\)
0.600622 + 0.799533i \(0.294920\pi\)
\(354\) 1.49918 + 18.3051i 0.0796805 + 0.972907i
\(355\) −0.546764 1.86211i −0.0290192 0.0988303i
\(356\) −4.81343 + 0.793758i −0.255111 + 0.0420691i
\(357\) −4.95195 4.29089i −0.262085 0.227098i
\(358\) 0.818343 13.3806i 0.0432508 0.707189i
\(359\) −5.93818 13.0028i −0.313405 0.686261i 0.685730 0.727856i \(-0.259483\pi\)
−0.999135 + 0.0415953i \(0.986756\pi\)
\(360\) −0.396681 + 0.783156i −0.0209069 + 0.0412759i
\(361\) 7.16622 + 2.10419i 0.377169 + 0.110747i
\(362\) 5.20730 + 1.07664i 0.273689 + 0.0565867i
\(363\) 0.452569 + 0.206681i 0.0237537 + 0.0108479i
\(364\) −7.53104 8.33730i −0.394734 0.436993i
\(365\) 1.53941 2.39537i 0.0805763 0.125379i
\(366\) −4.00306 10.4035i −0.209243 0.543801i
\(367\) 12.3509 0.644714 0.322357 0.946618i \(-0.395525\pi\)
0.322357 + 0.946618i \(0.395525\pi\)
\(368\) −16.1715 + 10.3190i −0.842999 + 0.537915i
\(369\) −7.13672 −0.371523
\(370\) 0.721909 + 1.87617i 0.0375303 + 0.0975372i
\(371\) −3.22895 + 5.02434i −0.167639 + 0.260851i
\(372\) −12.6568 14.0118i −0.656224 0.726478i
\(373\) 30.0708 + 13.7329i 1.55701 + 0.711062i 0.993370 0.114959i \(-0.0366736\pi\)
0.563639 + 0.826021i \(0.309401\pi\)
\(374\) −13.8624 2.86613i −0.716809 0.148204i
\(375\) −2.94939 0.866019i −0.152306 0.0447210i
\(376\) −24.7190 12.5206i −1.27478 0.645699i
\(377\) 3.44830 + 7.55071i 0.177596 + 0.388882i
\(378\) −0.183144 + 2.99457i −0.00941991 + 0.154024i
\(379\) 15.2385 + 13.2042i 0.782749 + 0.678256i 0.951584 0.307388i \(-0.0994551\pi\)
−0.168835 + 0.985644i \(0.554001\pi\)
\(380\) 3.15112 0.519635i 0.161649 0.0266567i
\(381\) 5.57420 + 18.9840i 0.285575 + 0.972579i
\(382\) 2.16078 + 26.3834i 0.110555 + 1.34989i
\(383\) −10.2315 + 6.57539i −0.522806 + 0.335987i −0.775281 0.631617i \(-0.782392\pi\)
0.252475 + 0.967603i \(0.418755\pi\)
\(384\) 4.70833 + 10.2875i 0.240271 + 0.524979i
\(385\) 0.303683 + 2.11216i 0.0154771 + 0.107646i
\(386\) 2.61055 2.66498i 0.132873 0.135644i
\(387\) −12.2480 1.76100i −0.622603 0.0895167i
\(388\) 7.54906 + 23.8759i 0.383246 + 1.21211i
\(389\) 0.438711 0.380145i 0.0222435 0.0192741i −0.643668 0.765305i \(-0.722588\pi\)
0.665912 + 0.746031i \(0.268043\pi\)
\(390\) −0.394932 + 1.09317i −0.0199982 + 0.0553547i
\(391\) −10.1887 + 10.7520i −0.515263 + 0.543751i
\(392\) −3.57853 6.09708i −0.180743 0.307949i
\(393\) 4.24576 + 4.89986i 0.214170 + 0.247165i
\(394\) 10.5734 8.08671i 0.532681 0.407403i
\(395\) −0.507992 0.0730382i −0.0255599 0.00367495i
\(396\) 2.81359 + 5.83897i 0.141388 + 0.293419i
\(397\) 17.7178 2.54744i 0.889232 0.127852i 0.317467 0.948269i \(-0.397168\pi\)
0.571766 + 0.820417i \(0.306259\pi\)
\(398\) 14.5923 + 10.6906i 0.731448 + 0.535869i
\(399\) 9.18171 5.90073i 0.459660 0.295406i
\(400\) −16.0493 + 11.2762i −0.802467 + 0.563812i
\(401\) 0.732222 0.215000i 0.0365654 0.0107366i −0.263399 0.964687i \(-0.584843\pi\)
0.299964 + 0.953950i \(0.403025\pi\)
\(402\) −4.68169 + 2.61946i −0.233502 + 0.130647i
\(403\) −18.8934 16.3712i −0.941145 0.815507i
\(404\) −3.11252 + 7.20530i −0.154854 + 0.358477i
\(405\) 0.282332 0.128937i 0.0140292 0.00640692i
\(406\) −2.09385 9.16879i −0.103916 0.455039i
\(407\) 14.2407 + 4.18144i 0.705884 + 0.207266i
\(408\) 5.44922 + 6.82818i 0.269776 + 0.338045i
\(409\) 1.67560 3.66906i 0.0828532 0.181423i −0.863671 0.504056i \(-0.831841\pi\)
0.946524 + 0.322633i \(0.104568\pi\)
\(410\) 2.76478 + 1.47286i 0.136543 + 0.0727395i
\(411\) 5.12332 7.97205i 0.252715 0.393232i
\(412\) −0.108381 5.25173i −0.00533956 0.258734i
\(413\) 27.5512i 1.35570i
\(414\) 6.74456 + 0.714803i 0.331477 + 0.0351307i
\(415\) 1.25523 0.0616168
\(416\) 7.84716 + 12.7594i 0.384739 + 0.625579i
\(417\) −7.01075 4.50554i −0.343318 0.220637i
\(418\) 11.0862 20.8104i 0.542242 1.01787i
\(419\) −31.4574 14.3661i −1.53680 0.701831i −0.546074 0.837737i \(-0.683878\pi\)
−0.990722 + 0.135906i \(0.956605\pi\)
\(420\) 0.688963 1.12231i 0.0336180 0.0547629i
\(421\) −3.52357 + 12.0002i −0.171728 + 0.584853i 0.827981 + 0.560756i \(0.189489\pi\)
−0.999710 + 0.0240970i \(0.992329\pi\)
\(422\) 7.04352 + 30.8430i 0.342873 + 1.50142i
\(423\) 4.06967 + 8.91133i 0.197874 + 0.433284i
\(424\) 5.45363 5.80212i 0.264852 0.281776i
\(425\) −9.91832 + 11.4463i −0.481109 + 0.555229i
\(426\) 4.31768 + 7.71688i 0.209192 + 0.373884i
\(427\) 4.71101 + 16.0442i 0.227982 + 0.776435i
\(428\) −13.6419 3.70166i −0.659406 0.178927i
\(429\) 4.63950 + 7.21920i 0.223997 + 0.348546i
\(430\) 4.38148 + 3.20994i 0.211294 + 0.154797i
\(431\) 4.10694 + 28.5644i 0.197824 + 1.37590i 0.810581 + 0.585627i \(0.199152\pi\)
−0.612757 + 0.790272i \(0.709939\pi\)
\(432\) 0.967628 3.88120i 0.0465550 0.186734i
\(433\) 2.53923 17.6607i 0.122028 0.848721i −0.833226 0.552933i \(-0.813509\pi\)
0.955254 0.295788i \(-0.0955823\pi\)
\(434\) 17.2072 + 22.4985i 0.825971 + 1.07996i
\(435\) −0.735324 + 0.637162i −0.0352561 + 0.0305496i
\(436\) 8.15089 9.80844i 0.390357 0.469739i
\(437\) −12.4028 21.3296i −0.593307 1.02033i
\(438\) −4.40821 + 12.2019i −0.210632 + 0.583028i
\(439\) 20.6780 + 23.8637i 0.986907 + 1.13895i 0.990298 + 0.138957i \(0.0443750\pi\)
−0.00339139 + 0.999994i \(0.501080\pi\)
\(440\) 0.115045 2.84269i 0.00548455 0.135520i
\(441\) −0.355717 + 2.47407i −0.0169389 + 0.117813i
\(442\) 8.26265 + 8.09389i 0.393014 + 0.384987i
\(443\) 35.1878 5.05925i 1.67182 0.240372i 0.759697 0.650278i \(-0.225347\pi\)
0.912128 + 0.409906i \(0.134438\pi\)
\(444\) −5.10994 7.60166i −0.242507 0.360759i
\(445\) −0.409312 0.636902i −0.0194032 0.0301920i
\(446\) 1.47736 + 18.0387i 0.0699551 + 0.854159i
\(447\) 21.2251 6.23224i 1.00391 0.294775i
\(448\) −5.77965 15.9570i −0.273063 0.753899i
\(449\) 2.46783 2.84802i 0.116464 0.134407i −0.694524 0.719470i \(-0.744385\pi\)
0.810988 + 0.585063i \(0.198930\pi\)
\(450\) 6.92189 + 0.423334i 0.326301 + 0.0199562i
\(451\) 21.0383 9.60786i 0.990654 0.452417i
\(452\) −26.6551 3.27262i −1.25375 0.153931i
\(453\) −6.64263 + 22.6227i −0.312098 + 1.06291i
\(454\) 23.0606 + 4.76790i 1.08229 + 0.223769i
\(455\) 0.724308 1.58601i 0.0339561 0.0743534i
\(456\) −13.4702 + 5.50477i −0.630802 + 0.257784i
\(457\) 0.806402 + 0.518243i 0.0377219 + 0.0242424i 0.559366 0.828921i \(-0.311045\pi\)
−0.521644 + 0.853163i \(0.674681\pi\)
\(458\) 12.6162 4.85444i 0.589515 0.226833i
\(459\) 3.08865i 0.144166i
\(460\) −2.46534 1.66884i −0.114947 0.0778102i
\(461\) 23.2407i 1.08243i 0.840886 + 0.541213i \(0.182035\pi\)
−0.840886 + 0.541213i \(0.817965\pi\)
\(462\) −3.49157 9.07422i −0.162443 0.422171i
\(463\) 3.28629 + 2.11197i 0.152727 + 0.0981516i 0.614772 0.788705i \(-0.289248\pi\)
−0.462045 + 0.886856i \(0.652884\pi\)
\(464\) 0.517325 + 12.5284i 0.0240162 + 0.581617i
\(465\) 1.21728 2.66548i 0.0564502 0.123609i
\(466\) −0.261602 + 1.26528i −0.0121185 + 0.0586128i
\(467\) −0.758983 + 2.58486i −0.0351215 + 0.119613i −0.975188 0.221378i \(-0.928944\pi\)
0.940066 + 0.340991i \(0.110763\pi\)
\(468\) 0.645377 5.25651i 0.0298326 0.242982i
\(469\) 7.32023 3.34304i 0.338017 0.154367i
\(470\) 0.262503 4.29216i 0.0121084 0.197983i
\(471\) 1.60496 1.85222i 0.0739525 0.0853458i
\(472\) −6.69361 + 36.1178i −0.308099 + 1.66246i
\(473\) 38.4766 11.2978i 1.76916 0.519472i
\(474\) 2.33061 0.190875i 0.107048 0.00876719i
\(475\) −13.6394 21.2234i −0.625820 0.973795i
\(476\) −7.31091 10.8759i −0.335095 0.498495i
\(477\) −2.78663 + 0.400657i −0.127591 + 0.0183448i
\(478\) 21.9706 22.4286i 1.00491 1.02586i
\(479\) −0.231990 + 1.61352i −0.0105999 + 0.0737238i −0.994435 0.105354i \(-0.966402\pi\)
0.983835 + 0.179078i \(0.0573114\pi\)
\(480\) −1.17585 + 1.30389i −0.0536702 + 0.0595141i
\(481\) −7.94160 9.16509i −0.362106 0.417892i
\(482\) 25.2222 + 9.11210i 1.14884 + 0.415045i
\(483\) −9.99610 1.89453i −0.454838 0.0862040i
\(484\) 0.765300 + 0.635970i 0.0347864 + 0.0289077i
\(485\) −2.93692 + 2.54485i −0.133359 + 0.115556i
\(486\) −1.12333 + 0.859142i −0.0509554 + 0.0389715i
\(487\) 2.21012 15.3717i 0.100150 0.696558i −0.876450 0.481493i \(-0.840095\pi\)
0.976600 0.215065i \(-0.0689963\pi\)
\(488\) −2.27786 22.1775i −0.103114 1.00393i
\(489\) −2.58765 17.9975i −0.117017 0.813874i
\(490\) 0.648398 0.885047i 0.0292917 0.0399823i
\(491\) 22.2407 + 34.6072i 1.00371 + 1.56180i 0.814749 + 0.579814i \(0.196875\pi\)
0.188958 + 0.981985i \(0.439489\pi\)
\(492\) −13.7753 3.73787i −0.621040 0.168516i
\(493\) 2.72779 + 9.29001i 0.122854 + 0.418401i
\(494\) −16.8135 + 9.40731i −0.756473 + 0.423255i
\(495\) −0.658703 + 0.760183i −0.0296065 + 0.0341677i
\(496\) −17.0915 33.6746i −0.767430 1.51204i
\(497\) −5.51036 12.0660i −0.247173 0.541234i
\(498\) −5.57576 + 1.27332i −0.249856 + 0.0570588i
\(499\) 2.78804 9.49519i 0.124810 0.425063i −0.873254 0.487266i \(-0.837994\pi\)
0.998064 + 0.0622027i \(0.0198125\pi\)
\(500\) −5.23935 3.21634i −0.234311 0.143839i
\(501\) 4.88177 + 2.22943i 0.218101 + 0.0996036i
\(502\) −5.24488 2.79407i −0.234090 0.124705i
\(503\) −33.4972 21.5274i −1.49357 0.959857i −0.995703 0.0926025i \(-0.970481\pi\)
−0.497864 0.867255i \(-0.665882\pi\)
\(504\) −1.92191 + 5.68420i −0.0856088 + 0.253195i
\(505\) −1.21806 −0.0542031
\(506\) −20.8445 + 6.97274i −0.926652 + 0.309976i
\(507\) 5.98815i 0.265943i
\(508\) 0.816461 + 39.5625i 0.0362246 + 1.75530i
\(509\) −19.1176 + 29.7475i −0.847371 + 1.31853i 0.0988794 + 0.995099i \(0.468474\pi\)
−0.946250 + 0.323435i \(0.895162\pi\)
\(510\) −0.637429 + 1.19655i −0.0282258 + 0.0529841i
\(511\) 8.08468 17.7030i 0.357645 0.783133i
\(512\) 3.69996 + 22.3229i 0.163517 + 0.986541i
\(513\) 4.93638 + 1.44945i 0.217946 + 0.0639949i
\(514\) −0.184206 + 0.0420666i −0.00812499 + 0.00185548i
\(515\) 0.741523 0.338642i 0.0326754 0.0149224i
\(516\) −22.7189 9.81401i −1.00014 0.432038i
\(517\) −23.9939 20.7908i −1.05525 0.914379i
\(518\) 6.70896 + 11.9908i 0.294775 + 0.526844i
\(519\) 0.624508 0.183372i 0.0274129 0.00804914i
\(520\) −1.33485 + 1.90319i −0.0585369 + 0.0834605i
\(521\) 27.2574 17.5173i 1.19417 0.767445i 0.216231 0.976342i \(-0.430624\pi\)
0.977938 + 0.208897i \(0.0669873\pi\)
\(522\) 2.61998 3.57621i 0.114674 0.156526i
\(523\) −37.6411 + 5.41197i −1.64593 + 0.236649i −0.902040 0.431653i \(-0.857930\pi\)
−0.743890 + 0.668302i \(0.767021\pi\)
\(524\) 5.62887 + 11.6815i 0.245898 + 0.510307i
\(525\) −10.2969 1.48047i −0.449395 0.0646132i
\(526\) 19.0415 + 24.8969i 0.830249 + 1.08555i
\(527\) −19.0956 22.0374i −0.831815 0.959966i
\(528\) 2.37263 + 12.7440i 0.103255 + 0.554612i
\(529\) −5.28402 + 22.3848i −0.229740 + 0.973252i
\(530\) 1.16223 + 0.419884i 0.0504842 + 0.0182386i
\(531\) 9.81494 8.50470i 0.425932 0.369072i
\(532\) 20.8131 6.58067i 0.902361 0.285308i
\(533\) −18.7056 2.68946i −0.810230 0.116493i
\(534\) 2.46426 + 2.41392i 0.106639 + 0.104461i
\(535\) −0.312188 2.17132i −0.0134971 0.0938743i
\(536\) −10.4086 + 2.60405i −0.449581 + 0.112478i
\(537\) −7.97442 + 5.12485i −0.344122 + 0.221154i
\(538\) −13.7907 + 1.12945i −0.594559 + 0.0486940i
\(539\) −2.28211 7.77217i −0.0982976 0.334771i
\(540\) 0.612489 0.101002i 0.0263573 0.00434645i
\(541\) 33.9718 + 29.4368i 1.46056 + 1.26559i 0.898852 + 0.438252i \(0.144402\pi\)
0.561711 + 0.827334i \(0.310143\pi\)
\(542\) 6.96073 + 0.425710i 0.298989 + 0.0182858i
\(543\) −1.56196 3.42021i −0.0670300 0.146775i
\(544\) 6.94183 + 16.0338i 0.297629 + 0.687444i
\(545\) 1.89899 + 0.557595i 0.0813439 + 0.0238847i
\(546\) −1.60853 + 7.77986i −0.0688385 + 0.332947i
\(547\) 0.869522 + 0.397098i 0.0371781 + 0.0169787i 0.433917 0.900953i \(-0.357131\pi\)
−0.396739 + 0.917931i \(0.629858\pi\)
\(548\) 14.0644 12.7043i 0.600802 0.542702i
\(549\) −4.26144 + 6.63092i −0.181874 + 0.283001i
\(550\) −20.9749 + 8.07070i −0.894373 + 0.344136i
\(551\) −16.1277 −0.687064
\(552\) 12.6440 + 4.91218i 0.538164 + 0.209076i
\(553\) −3.50780 −0.149167
\(554\) −15.6184 + 6.00962i −0.663560 + 0.255324i
\(555\) 0.768504 1.19582i 0.0326212 0.0507596i
\(556\) −11.1724 12.3685i −0.473815 0.524541i
\(557\) 38.6047 + 17.6302i 1.63573 + 0.747015i 0.999696 0.0246433i \(-0.00784500\pi\)
0.636038 + 0.771658i \(0.280572\pi\)
\(558\) −2.70331 + 13.0750i −0.114440 + 0.553507i
\(559\) −31.4389 9.23130i −1.32972 0.390442i
\(560\) 1.91765 1.80543i 0.0810354 0.0762935i
\(561\) 4.15811 + 9.10500i 0.175556 + 0.384413i
\(562\) −45.3399 2.77293i −1.91255 0.116969i
\(563\) −32.6901 28.3261i −1.37772 1.19380i −0.958214 0.286053i \(-0.907657\pi\)
−0.419509 0.907751i \(-0.637798\pi\)
\(564\) 3.18797 + 19.3322i 0.134238 + 0.814031i
\(565\) −1.17417 3.99885i −0.0493976 0.168233i
\(566\) −31.8920 + 2.61193i −1.34052 + 0.109788i
\(567\) 1.78467 1.14693i 0.0749489 0.0481667i
\(568\) 4.29228 + 17.1565i 0.180100 + 0.719872i
\(569\) 1.64264 + 11.4248i 0.0688633 + 0.478954i 0.994847 + 0.101390i \(0.0323291\pi\)
−0.925983 + 0.377564i \(0.876762\pi\)
\(570\) −1.61323 1.58028i −0.0675707 0.0661907i
\(571\) 38.4841 + 5.53318i 1.61051 + 0.231557i 0.888014 0.459817i \(-0.152085\pi\)
0.722497 + 0.691374i \(0.242994\pi\)
\(572\) 5.17411 + 16.3645i 0.216340 + 0.684232i
\(573\) 14.1464 12.2579i 0.590973 0.512081i
\(574\) 20.1375 + 7.27512i 0.840522 + 0.303658i
\(575\) −4.37917 + 23.1058i −0.182624 + 0.963579i
\(576\) 3.90050 6.98471i 0.162521 0.291029i
\(577\) 2.83881 + 3.27616i 0.118181 + 0.136388i 0.811757 0.583995i \(-0.198511\pi\)
−0.693576 + 0.720384i \(0.743966\pi\)
\(578\) −6.40942 8.38035i −0.266597 0.348576i
\(579\) −2.61106 0.375413i −0.108512 0.0156016i
\(580\) −1.75304 + 0.844725i −0.0727910 + 0.0350753i
\(581\) 8.49210 1.22098i 0.352312 0.0506548i
\(582\) 10.4643 14.2836i 0.433761 0.592072i
\(583\) 7.67530 4.93261i 0.317878 0.204288i
\(584\) −14.8995 + 21.2433i −0.616545 + 0.879054i
\(585\) 0.788593 0.231552i 0.0326043 0.00957348i
\(586\) −5.06827 9.05839i −0.209368 0.374199i
\(587\) 10.2663 + 8.89577i 0.423734 + 0.367168i 0.840468 0.541861i \(-0.182280\pi\)
−0.416734 + 0.909028i \(0.636825\pi\)
\(588\) −1.98240 + 4.58915i −0.0817529 + 0.189253i
\(589\) 44.1822 20.1773i 1.82050 0.831393i
\(590\) −5.55751 + 1.26915i −0.228799 + 0.0522501i
\(591\) −9.03127 2.65182i −0.371497 0.109081i
\(592\) −5.88185 17.3491i −0.241742 0.713043i
\(593\) 10.3159 22.5886i 0.423622 0.927602i −0.570697 0.821160i \(-0.693327\pi\)
0.994319 0.106441i \(-0.0339457\pi\)
\(594\) 2.15484 4.04495i 0.0884140 0.165966i
\(595\) 1.09952 1.71088i 0.0450758 0.0701393i
\(596\) 44.2328 0.912844i 1.81185 0.0373916i
\(597\) 12.7911i 0.523505i
\(598\) 17.4084 + 4.41520i 0.711881 + 0.180551i
\(599\) 41.7860 1.70733 0.853665 0.520822i \(-0.174375\pi\)
0.853665 + 0.520822i \(0.174375\pi\)
\(600\) 13.1389 + 4.44247i 0.536395 + 0.181363i
\(601\) −11.2430 7.22546i −0.458613 0.294733i 0.290862 0.956765i \(-0.406058\pi\)
−0.749475 + 0.662032i \(0.769694\pi\)
\(602\) 32.7648 + 17.4545i 1.33539 + 0.711393i
\(603\) 3.45060 + 1.57584i 0.140519 + 0.0641730i
\(604\) −24.6703 + 40.1874i −1.00382 + 1.63520i
\(605\) −0.0435061 + 0.148168i −0.00176878 + 0.00602390i
\(606\) 5.41067 1.23562i 0.219793 0.0501935i
\(607\) 5.05949 + 11.0787i 0.205358 + 0.449672i 0.984087 0.177689i \(-0.0568622\pi\)
−0.778728 + 0.627361i \(0.784135\pi\)
\(608\) −28.8834 + 3.57027i −1.17138 + 0.144794i
\(609\) −4.35497 + 5.02590i −0.176472 + 0.203660i
\(610\) 3.01937 1.68937i 0.122251 0.0684005i
\(611\) 7.30853 + 24.8906i 0.295672 + 1.00696i
\(612\) 1.61768 5.96172i 0.0653909 0.240988i
\(613\) 22.1321 + 34.4383i 0.893908 + 1.39095i 0.920265 + 0.391295i \(0.127973\pi\)
−0.0263573 + 0.999653i \(0.508391\pi\)
\(614\) −14.4170 + 19.6788i −0.581821 + 0.794170i
\(615\) −0.315242 2.19255i −0.0127118 0.0884123i
\(616\) −1.98681 19.3438i −0.0800507 0.779384i
\(617\) 2.58789 17.9992i 0.104185 0.724620i −0.869036 0.494748i \(-0.835260\pi\)
0.973221 0.229872i \(-0.0738307\pi\)
\(618\) −2.95034 + 2.25647i −0.118680 + 0.0907685i
\(619\) −21.4873 + 18.6189i −0.863649 + 0.748356i −0.969257 0.246052i \(-0.920867\pi\)
0.105608 + 0.994408i \(0.466321\pi\)
\(620\) 3.74565 4.50736i 0.150429 0.181020i
\(621\) −2.41076 4.14587i −0.0967403 0.166368i
\(622\) 10.3734 + 3.74762i 0.415934 + 0.150266i
\(623\) −3.38867 3.91074i −0.135764 0.156680i
\(624\) 3.99881 9.80811i 0.160081 0.392639i
\(625\) −3.35354 + 23.3244i −0.134142 + 0.932976i
\(626\) −22.9876 + 23.4669i −0.918771 + 0.937927i
\(627\) −16.5032 + 2.37281i −0.659076 + 0.0947608i
\(628\) 4.06800 2.73456i 0.162331 0.109121i
\(629\) −7.64751 11.8998i −0.304926 0.474474i
\(630\) −0.928085 + 0.0760096i −0.0369758 + 0.00302830i
\(631\) −35.5369 + 10.4346i −1.41470 + 0.415394i −0.897707 0.440594i \(-0.854768\pi\)
−0.516996 + 0.855988i \(0.672950\pi\)
\(632\) 4.59851 + 0.852229i 0.182919 + 0.0338999i
\(633\) 14.6497 16.9067i 0.582275 0.671981i
\(634\) 1.58553 25.9248i 0.0629694 1.02961i
\(635\) −5.58607 + 2.55107i −0.221676 + 0.101236i
\(636\) −5.58861 0.686151i −0.221603 0.0272077i
\(637\) −1.86470 + 6.35057i −0.0738819 + 0.251619i
\(638\) −2.90893 + 14.0695i −0.115166 + 0.557015i
\(639\) 2.59747 5.68766i 0.102754 0.225000i
\(640\) −2.95255 + 1.90091i −0.116710 + 0.0751402i
\(641\) −6.61573 4.25167i −0.261305 0.167931i 0.403428 0.915011i \(-0.367819\pi\)
−0.664734 + 0.747081i \(0.731455\pi\)
\(642\) 3.58936 + 9.32837i 0.141661 + 0.368161i
\(643\) 8.68477i 0.342494i 0.985228 + 0.171247i \(0.0547796\pi\)
−0.985228 + 0.171247i \(0.945220\pi\)
\(644\) −18.3022 8.89229i −0.721210 0.350405i
\(645\) 3.84065i 0.151225i
\(646\) −20.9734 + 8.07012i −0.825187 + 0.317515i
\(647\) −5.45157 3.50351i −0.214323 0.137737i 0.429075 0.903269i \(-0.358840\pi\)
−0.643398 + 0.765532i \(0.722476\pi\)
\(648\) −2.61824 + 1.06997i −0.102854 + 0.0420325i
\(649\) −17.4839 + 38.2844i −0.686302 + 1.50279i
\(650\) 17.9830 + 3.71808i 0.705352 + 0.145835i
\(651\) 5.64263 19.2170i 0.221152 0.753175i
\(652\) 4.43151 36.0941i 0.173551 1.41355i
\(653\) 28.6347 13.0770i 1.12056 0.511744i 0.233022 0.972471i \(-0.425139\pi\)
0.887542 + 0.460727i \(0.152411\pi\)
\(654\) −9.00101 0.550490i −0.351967 0.0215259i
\(655\) −1.31780 + 1.52082i −0.0514907 + 0.0594235i
\(656\) −24.6315 14.4297i −0.961697 0.563384i
\(657\) 8.80222 2.58457i 0.343407 0.100833i
\(658\) −2.39911 29.2934i −0.0935272 1.14198i
\(659\) −4.53648 7.05890i −0.176716 0.274976i 0.741584 0.670860i \(-0.234075\pi\)
−0.918301 + 0.395884i \(0.870438\pi\)
\(660\) −1.66958 + 1.12231i −0.0649882 + 0.0436859i
\(661\) −3.27143 + 0.470361i −0.127244 + 0.0182949i −0.205643 0.978627i \(-0.565928\pi\)
0.0783985 + 0.996922i \(0.475019\pi\)
\(662\) −5.79328 5.67495i −0.225162 0.220563i
\(663\) 1.16395 8.09546i 0.0452041 0.314402i
\(664\) −11.4293 0.462547i −0.443541 0.0179503i
\(665\) 2.21840 + 2.56017i 0.0860260 + 0.0992792i
\(666\) −2.20067 + 6.09143i −0.0852741 + 0.236038i
\(667\) 10.9126 + 10.3408i 0.422536 + 0.400398i
\(668\) 8.25515 + 6.86009i 0.319401 + 0.265425i
\(669\) 9.67209 8.38092i 0.373945 0.324025i
\(670\) −1.01155 1.32261i −0.0390797 0.0510969i
\(671\) 3.63532 25.2842i 0.140340 0.976087i
\(672\) −6.68679 + 9.96507i −0.257949 + 0.384411i
\(673\) 1.27214 + 8.84790i 0.0490373 + 0.341062i 0.999540 + 0.0303440i \(0.00966027\pi\)
−0.950502 + 0.310718i \(0.899431\pi\)
\(674\) −8.33700 6.10781i −0.321129 0.235264i
\(675\) −2.65112 4.12522i −0.102042 0.158780i
\(676\) −3.13630 + 11.5583i −0.120627 + 0.444552i
\(677\) 11.0367 + 37.5876i 0.424175 + 1.44461i 0.843676 + 0.536853i \(0.180387\pi\)
−0.419501 + 0.907755i \(0.637795\pi\)
\(678\) 9.27217 + 16.5719i 0.356095 + 0.636440i
\(679\) −17.3940 + 20.0737i −0.667519 + 0.770357i
\(680\) −1.85706 + 1.97573i −0.0712150 + 0.0757657i
\(681\) −6.91716 15.1465i −0.265066 0.580414i
\(682\) −9.63317 42.1829i −0.368873 1.61527i
\(683\) 10.7177 36.5012i 0.410102 1.39668i −0.452937 0.891543i \(-0.649624\pi\)
0.863039 0.505138i \(-0.168558\pi\)
\(684\) 8.76906 + 5.38317i 0.335294 + 0.205831i
\(685\) 2.67549 + 1.22186i 0.102225 + 0.0466847i
\(686\) 13.3998 25.1535i 0.511608 0.960365i
\(687\) −8.04120 5.16777i −0.306791 0.197163i
\(688\) −38.7119 30.8421i −1.47588 1.17584i
\(689\) −7.45485 −0.284007
\(690\) 0.0783162 + 2.10365i 0.00298145 + 0.0800845i
\(691\) 21.6997i 0.825496i −0.910845 0.412748i \(-0.864569\pi\)
0.910845 0.412748i \(-0.135431\pi\)
\(692\) 1.30147 0.0268588i 0.0494744 0.00102102i
\(693\) −3.71693 + 5.78366i −0.141195 + 0.219703i
\(694\) −3.97877 2.11958i −0.151032 0.0804582i
\(695\) 1.07452 2.35287i 0.0407589 0.0892495i
\(696\) 6.93015 5.53059i 0.262686 0.209637i
\(697\) −21.1499 6.21018i −0.801111 0.235227i
\(698\) 0.487832 + 2.13618i 0.0184647 + 0.0808555i
\(699\) 0.831047 0.379527i 0.0314331 0.0143550i
\(700\) −19.0998 8.25064i −0.721903 0.311845i
\(701\) −6.30080 5.45967i −0.237978 0.206209i 0.527704 0.849428i \(-0.323053\pi\)
−0.765682 + 0.643219i \(0.777598\pi\)
\(702\) −3.26806 + 1.82852i −0.123345 + 0.0690129i
\(703\) 22.6074 6.63814i 0.852655 0.250362i
\(704\) −2.09504 + 25.8412i −0.0789598 + 0.973928i
\(705\) −2.55799 + 1.64392i −0.0963394 + 0.0619136i
\(706\) −3.13000 2.29309i −0.117799 0.0863014i
\(707\) −8.24066 + 1.18483i −0.309922 + 0.0445600i
\(708\) 23.3992 11.2752i 0.879395 0.423748i
\(709\) −6.65030 0.956168i −0.249757 0.0359097i 0.0162991 0.999867i \(-0.494812\pi\)
−0.266056 + 0.963958i \(0.585721\pi\)
\(710\) −2.18007 + 1.66735i −0.0818166 + 0.0625746i
\(711\) −1.08282 1.24964i −0.0406087 0.0468650i
\(712\) 3.49222 + 5.95002i 0.130876 + 0.222986i
\(713\) −42.8325 14.6762i −1.60409 0.549629i
\(714\) −3.14855 + 8.71514i −0.117831 + 0.326156i
\(715\) −2.01296 + 1.74424i −0.0752803 + 0.0652308i
\(716\) −18.0764 + 5.71539i −0.675547 + 0.213594i
\(717\) −21.9748 3.15950i −0.820664 0.117994i
\(718\) −14.1463 + 14.4413i −0.527936 + 0.538944i
\(719\) −1.42587 9.91714i −0.0531760 0.369847i −0.998982 0.0451144i \(-0.985635\pi\)
0.945806 0.324733i \(-0.105274\pi\)
\(720\) 1.23513 + 0.125837i 0.0460305 + 0.00468965i
\(721\) 4.68729 3.01234i 0.174564 0.112185i
\(722\) −0.862168 10.5272i −0.0320866 0.391780i
\(723\) −5.34249 18.1949i −0.198689 0.676674i
\(724\) −1.22356 7.41978i −0.0454731 0.275754i
\(725\) 11.6173 + 10.0664i 0.431455 + 0.373858i
\(726\) 0.0429518 0.702301i 0.00159409 0.0260648i
\(727\) 6.96948 + 15.2610i 0.258484 + 0.566000i 0.993731 0.111799i \(-0.0356612\pi\)
−0.735247 + 0.677799i \(0.762934\pi\)
\(728\) −7.17949 + 14.1742i −0.266090 + 0.525332i
\(729\) 0.959493 + 0.281733i 0.0355368 + 0.0104345i
\(730\) −3.94340 0.815317i −0.145952 0.0301763i
\(731\) −34.7651 15.8767i −1.28583 0.587221i
\(732\) −11.6984 + 10.5671i −0.432385 + 0.390571i
\(733\) 8.18962 12.7433i 0.302491 0.470684i −0.656419 0.754397i \(-0.727930\pi\)
0.958910 + 0.283712i \(0.0915660\pi\)
\(734\) −6.27256 16.3017i −0.231525 0.601708i
\(735\) −0.775799 −0.0286158
\(736\) 21.8327 + 16.1038i 0.804764 + 0.593595i
\(737\) −12.2935 −0.452836
\(738\) 3.62446 + 9.41960i 0.133418 + 0.346740i
\(739\) 1.48235 2.30658i 0.0545292 0.0848490i −0.812919 0.582377i \(-0.802123\pi\)
0.867448 + 0.497528i \(0.165759\pi\)
\(740\) 2.10968 1.90566i 0.0775533 0.0700536i
\(741\) 12.3922 + 5.65933i 0.455239 + 0.207901i
\(742\) 8.27138 + 1.71015i 0.303652 + 0.0627816i
\(743\) 21.3307 + 6.26325i 0.782546 + 0.229776i 0.648516 0.761201i \(-0.275390\pi\)
0.134030 + 0.990977i \(0.457208\pi\)
\(744\) −12.0660 + 23.8215i −0.442360 + 0.873337i
\(745\) 2.85223 + 6.24550i 0.104497 + 0.228818i
\(746\) 2.85393 46.6642i 0.104490 1.70850i
\(747\) 3.05637 + 2.64836i 0.111827 + 0.0968985i
\(748\) 3.25725 + 19.7523i 0.119097 + 0.722216i
\(749\) −4.22415 14.3861i −0.154347 0.525657i
\(750\) 0.354842 + 4.33265i 0.0129570 + 0.158206i
\(751\) 25.7966 16.5785i 0.941331 0.604957i 0.0225589 0.999746i \(-0.492819\pi\)
0.918772 + 0.394789i \(0.129182\pi\)
\(752\) −3.97181 + 38.9847i −0.144837 + 1.42163i
\(753\) 0.598024 + 4.15935i 0.0217932 + 0.151575i
\(754\) 8.21476 8.38604i 0.299164 0.305402i
\(755\) −7.24361 1.04147i −0.263622 0.0379031i
\(756\) 4.04548 1.27910i 0.147133 0.0465203i
\(757\) 10.6196 9.20197i 0.385977 0.334451i −0.440161 0.897919i \(-0.645079\pi\)
0.826138 + 0.563468i \(0.190533\pi\)
\(758\) 9.68893 26.8189i 0.351918 0.974105i
\(759\) 12.6881 + 8.97608i 0.460547 + 0.325811i
\(760\) −2.28619 3.89519i −0.0829287 0.141294i
\(761\) 18.3628 + 21.1918i 0.665652 + 0.768203i 0.983689 0.179875i \(-0.0575693\pi\)
−0.318038 + 0.948078i \(0.603024\pi\)
\(762\) 22.2256 16.9985i 0.805149 0.615791i
\(763\) 13.3898 + 1.92516i 0.484743 + 0.0696955i
\(764\) 33.7254 16.2511i 1.22014 0.587942i
\(765\) 0.948899 0.136431i 0.0343075 0.00493267i
\(766\) 13.8749 + 10.1650i 0.501320 + 0.367275i
\(767\) 28.9303 18.5924i 1.04461 0.671332i
\(768\) 11.1870 11.4390i 0.403676 0.412770i
\(769\) 36.6921 10.7738i 1.32315 0.388512i 0.457522 0.889198i \(-0.348737\pi\)
0.865629 + 0.500686i \(0.166919\pi\)
\(770\) 2.63357 1.47351i 0.0949072 0.0531016i
\(771\) 0.100973 + 0.0874938i 0.00363646 + 0.00315101i
\(772\) −4.84324 2.09217i −0.174312 0.0752987i
\(773\) −29.5349 + 13.4881i −1.06230 + 0.485134i −0.868388