Properties

Label 225.2.q.a.16.3
Level $225$
Weight $2$
Character 225.16
Analytic conductor $1.797$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 225.q (of order \(15\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.79663404548\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(28\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 16.3
Character \(\chi\) \(=\) 225.16
Dual form 225.2.q.a.211.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.13701 + 0.951457i) q^{2} +(-0.620400 + 1.61713i) q^{3} +(2.32327 - 2.58025i) q^{4} +(-1.69271 + 1.46108i) q^{5} +(-0.212829 - 4.04610i) q^{6} +(-0.915602 + 1.58587i) q^{7} +(-1.06411 + 3.27499i) q^{8} +(-2.23021 - 2.00653i) q^{9} +O(q^{10})\) \(q+(-2.13701 + 0.951457i) q^{2} +(-0.620400 + 1.61713i) q^{3} +(2.32327 - 2.58025i) q^{4} +(-1.69271 + 1.46108i) q^{5} +(-0.212829 - 4.04610i) q^{6} +(-0.915602 + 1.58587i) q^{7} +(-1.06411 + 3.27499i) q^{8} +(-2.23021 - 2.00653i) q^{9} +(2.22718 - 4.73287i) q^{10} +(-1.75350 + 0.780708i) q^{11} +(2.73124 + 5.35781i) q^{12} +(-0.319779 - 0.142375i) q^{13} +(0.447762 - 4.26017i) q^{14} +(-1.31259 - 3.64378i) q^{15} +(-0.116144 - 1.10504i) q^{16} +(-0.815069 + 2.50853i) q^{17} +(6.67510 + 2.16603i) q^{18} +(1.57929 - 4.86056i) q^{19} +(-0.162673 + 7.76208i) q^{20} +(-1.99652 - 2.46452i) q^{21} +(3.00443 - 3.33676i) q^{22} +(0.789361 - 7.51027i) q^{23} +(-4.63591 - 3.75261i) q^{24} +(0.730517 - 4.94635i) q^{25} +0.818832 q^{26} +(4.62844 - 2.36168i) q^{27} +(1.96475 + 6.04688i) q^{28} +(7.09948 + 1.50904i) q^{29} +(6.27191 + 6.53790i) q^{30} +(-6.88248 + 1.46292i) q^{31} +(-2.14393 - 3.71340i) q^{32} +(-0.174634 - 3.31998i) q^{33} +(-0.644945 - 6.13624i) q^{34} +(-0.767228 - 4.02218i) q^{35} +(-10.3587 + 1.09278i) q^{36} +(-4.22488 + 3.06955i) q^{37} +(1.24966 + 11.8897i) q^{38} +(0.428629 - 0.428794i) q^{39} +(-2.98378 - 7.09835i) q^{40} +(-2.49525 - 1.11096i) q^{41} +(6.61145 + 3.36710i) q^{42} +(-3.95848 + 6.85628i) q^{43} +(-2.05942 + 6.33826i) q^{44} +(6.70678 + 0.137972i) q^{45} +(5.45883 + 16.8005i) q^{46} +(-10.9951 - 2.33709i) q^{47} +(1.85904 + 0.497745i) q^{48} +(1.82334 + 3.15813i) q^{49} +(3.14511 + 11.2654i) q^{50} +(-3.55094 - 2.87436i) q^{51} +(-1.11029 + 0.494334i) q^{52} +(0.727074 + 2.23770i) q^{53} +(-7.64398 + 9.45069i) q^{54} +(1.82749 - 3.88350i) q^{55} +(-4.21941 - 4.68613i) q^{56} +(6.88036 + 5.56941i) q^{57} +(-16.6074 + 3.53002i) q^{58} +(-5.30179 - 2.36051i) q^{59} +(-12.4514 - 5.07866i) q^{60} +(-7.48156 + 3.33100i) q^{61} +(13.3160 - 9.67464i) q^{62} +(5.22408 - 1.69963i) q^{63} +(9.91258 + 7.20191i) q^{64} +(0.749312 - 0.226222i) q^{65} +(3.53201 + 6.92867i) q^{66} +(4.64929 - 0.988236i) q^{67} +(4.57900 + 7.93106i) q^{68} +(11.6553 + 5.93587i) q^{69} +(5.46650 + 7.86544i) q^{70} +(4.20239 + 12.9336i) q^{71} +(8.94456 - 5.16874i) q^{72} +(-10.4569 - 7.59738i) q^{73} +(6.10804 - 10.5794i) q^{74} +(7.54566 + 4.25005i) q^{75} +(-8.87235 - 15.3674i) q^{76} +(0.367406 - 3.49564i) q^{77} +(-0.508004 + 1.32416i) q^{78} +(-6.36493 - 1.35291i) q^{79} +(1.81114 + 1.70081i) q^{80} +(0.947652 + 8.94997i) q^{81} +6.38940 q^{82} +(-6.26629 - 6.95942i) q^{83} +(-10.9975 - 0.574231i) q^{84} +(-2.28547 - 5.43708i) q^{85} +(1.93584 - 18.4182i) q^{86} +(-6.84483 + 10.5446i) q^{87} +(-0.690898 - 6.57345i) q^{88} +(-8.55403 - 6.21487i) q^{89} +(-14.4637 + 6.08637i) q^{90} +(0.518578 - 0.376769i) q^{91} +(-17.5445 - 19.4851i) q^{92} +(1.90417 - 12.0374i) q^{93} +(25.7203 - 5.46703i) q^{94} +(4.42837 + 10.5350i) q^{95} +(7.33515 - 1.16322i) q^{96} +(13.4736 + 2.86389i) q^{97} +(-6.90132 - 5.01410i) q^{98} +(5.47718 + 1.77731i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9} - 20 q^{10} - 11 q^{11} - 4 q^{12} - 3 q^{13} + q^{14} - 48 q^{15} + 23 q^{16} - 24 q^{17} - 12 q^{19} + q^{20} + 15 q^{21} - 11 q^{22} + q^{23} - 30 q^{24} - 16 q^{25} - 136 q^{26} + 7 q^{27} + 4 q^{28} - 15 q^{29} - 24 q^{30} + 3 q^{31} + 12 q^{32} - 5 q^{33} + q^{34} + 14 q^{35} + 38 q^{36} - 24 q^{37} + 55 q^{38} + 20 q^{39} + q^{40} - 19 q^{41} - 38 q^{42} - 8 q^{43} + 4 q^{44} - 38 q^{45} - 20 q^{46} - 10 q^{47} - 25 q^{48} - 72 q^{49} - 3 q^{50} - 26 q^{51} - 25 q^{52} - 12 q^{53} + 53 q^{54} - 20 q^{55} - 60 q^{56} + 38 q^{57} - 23 q^{58} - 30 q^{59} - 33 q^{60} - 3 q^{61} - 44 q^{62} + 46 q^{63} - 44 q^{64} + 51 q^{65} - 134 q^{66} - 12 q^{67} - 156 q^{68} + 4 q^{69} - 16 q^{70} + 42 q^{71} + 74 q^{72} - 12 q^{73} + 90 q^{74} + 67 q^{75} - 8 q^{76} + 31 q^{77} - 92 q^{78} - 15 q^{79} + 298 q^{80} - 104 q^{81} + 8 q^{82} + 59 q^{83} + 115 q^{84} - 11 q^{85} + 9 q^{86} - 59 q^{87} - 23 q^{88} + 106 q^{89} + 107 q^{90} + 30 q^{91} + 11 q^{92} + 32 q^{93} + 25 q^{94} + 7 q^{95} + 35 q^{96} - 21 q^{97} + 146 q^{98} - 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{1}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.13701 + 0.951457i −1.51109 + 0.672782i −0.984185 0.177142i \(-0.943315\pi\)
−0.526907 + 0.849923i \(0.676648\pi\)
\(3\) −0.620400 + 1.61713i −0.358188 + 0.933649i
\(4\) 2.32327 2.58025i 1.16163 1.29012i
\(5\) −1.69271 + 1.46108i −0.757002 + 0.653413i
\(6\) −0.212829 4.04610i −0.0868869 1.65181i
\(7\) −0.915602 + 1.58587i −0.346065 + 0.599402i −0.985547 0.169404i \(-0.945816\pi\)
0.639482 + 0.768806i \(0.279149\pi\)
\(8\) −1.06411 + 3.27499i −0.376219 + 1.15788i
\(9\) −2.23021 2.00653i −0.743403 0.668844i
\(10\) 2.22718 4.73287i 0.704295 1.49666i
\(11\) −1.75350 + 0.780708i −0.528700 + 0.235392i −0.653686 0.756766i \(-0.726778\pi\)
0.124986 + 0.992159i \(0.460111\pi\)
\(12\) 2.73124 + 5.35781i 0.788441 + 1.54667i
\(13\) −0.319779 0.142375i −0.0886906 0.0394876i 0.361912 0.932212i \(-0.382124\pi\)
−0.450602 + 0.892725i \(0.648791\pi\)
\(14\) 0.447762 4.26017i 0.119669 1.13858i
\(15\) −1.31259 3.64378i −0.338909 0.940819i
\(16\) −0.116144 1.10504i −0.0290360 0.276259i
\(17\) −0.815069 + 2.50853i −0.197683 + 0.608407i 0.802251 + 0.596986i \(0.203635\pi\)
−0.999935 + 0.0114205i \(0.996365\pi\)
\(18\) 6.67510 + 2.16603i 1.57334 + 0.510538i
\(19\) 1.57929 4.86056i 0.362315 1.11509i −0.589331 0.807892i \(-0.700609\pi\)
0.951646 0.307198i \(-0.0993914\pi\)
\(20\) −0.162673 + 7.76208i −0.0363747 + 1.73565i
\(21\) −1.99652 2.46452i −0.435675 0.537802i
\(22\) 3.00443 3.33676i 0.640546 0.711399i
\(23\) 0.789361 7.51027i 0.164593 1.56600i −0.530880 0.847447i \(-0.678138\pi\)
0.695473 0.718552i \(-0.255195\pi\)
\(24\) −4.63591 3.75261i −0.946301 0.765998i
\(25\) 0.730517 4.94635i 0.146103 0.989269i
\(26\) 0.818832 0.160586
\(27\) 4.62844 2.36168i 0.890744 0.454505i
\(28\) 1.96475 + 6.04688i 0.371303 + 1.14275i
\(29\) 7.09948 + 1.50904i 1.31834 + 0.280222i 0.812781 0.582570i \(-0.197953\pi\)
0.505560 + 0.862792i \(0.331286\pi\)
\(30\) 6.27191 + 6.53790i 1.14509 + 1.19365i
\(31\) −6.88248 + 1.46292i −1.23613 + 0.262747i −0.779211 0.626761i \(-0.784380\pi\)
−0.456918 + 0.889509i \(0.651047\pi\)
\(32\) −2.14393 3.71340i −0.378998 0.656443i
\(33\) −0.174634 3.31998i −0.0303999 0.577935i
\(34\) −0.644945 6.13624i −0.110607 1.05236i
\(35\) −0.767228 4.02218i −0.129685 0.679872i
\(36\) −10.3587 + 1.09278i −1.72645 + 0.182130i
\(37\) −4.22488 + 3.06955i −0.694565 + 0.504631i −0.878158 0.478371i \(-0.841227\pi\)
0.183592 + 0.983002i \(0.441227\pi\)
\(38\) 1.24966 + 11.8897i 0.202721 + 1.92876i
\(39\) 0.428629 0.428794i 0.0686355 0.0686619i
\(40\) −2.98378 7.09835i −0.471778 1.12235i
\(41\) −2.49525 1.11096i −0.389693 0.173502i 0.202531 0.979276i \(-0.435083\pi\)
−0.592224 + 0.805773i \(0.701750\pi\)
\(42\) 6.61145 + 3.36710i 1.02017 + 0.519555i
\(43\) −3.95848 + 6.85628i −0.603662 + 1.04557i 0.388599 + 0.921407i \(0.372959\pi\)
−0.992261 + 0.124167i \(0.960374\pi\)
\(44\) −2.05942 + 6.33826i −0.310470 + 0.955528i
\(45\) 6.70678 + 0.137972i 0.999788 + 0.0205676i
\(46\) 5.45883 + 16.8005i 0.804860 + 2.47710i
\(47\) −10.9951 2.33709i −1.60381 0.340900i −0.682848 0.730560i \(-0.739259\pi\)
−0.920959 + 0.389660i \(0.872592\pi\)
\(48\) 1.85904 + 0.497745i 0.268330 + 0.0718433i
\(49\) 1.82334 + 3.15813i 0.260478 + 0.451161i
\(50\) 3.14511 + 11.2654i 0.444786 + 1.59317i
\(51\) −3.55094 2.87436i −0.497231 0.402491i
\(52\) −1.11029 + 0.494334i −0.153970 + 0.0685518i
\(53\) 0.727074 + 2.23770i 0.0998713 + 0.307372i 0.988493 0.151269i \(-0.0483361\pi\)
−0.888621 + 0.458642i \(0.848336\pi\)
\(54\) −7.64398 + 9.45069i −1.04021 + 1.28608i
\(55\) 1.82749 3.88350i 0.246418 0.523651i
\(56\) −4.21941 4.68613i −0.563842 0.626210i
\(57\) 6.88036 + 5.56941i 0.911326 + 0.737687i
\(58\) −16.6074 + 3.53002i −2.18066 + 0.463514i
\(59\) −5.30179 2.36051i −0.690235 0.307312i 0.0314785 0.999504i \(-0.489978\pi\)
−0.721713 + 0.692192i \(0.756645\pi\)
\(60\) −12.4514 5.07866i −1.60746 0.655652i
\(61\) −7.48156 + 3.33100i −0.957916 + 0.426491i −0.825312 0.564678i \(-0.809001\pi\)
−0.132604 + 0.991169i \(0.542334\pi\)
\(62\) 13.3160 9.67464i 1.69113 1.22868i
\(63\) 5.22408 1.69963i 0.658173 0.214134i
\(64\) 9.91258 + 7.20191i 1.23907 + 0.900239i
\(65\) 0.749312 0.226222i 0.0929407 0.0280594i
\(66\) 3.53201 + 6.92867i 0.434761 + 0.852860i
\(67\) 4.64929 0.988236i 0.568001 0.120732i 0.0850451 0.996377i \(-0.472897\pi\)
0.482956 + 0.875645i \(0.339563\pi\)
\(68\) 4.57900 + 7.93106i 0.555285 + 0.961782i
\(69\) 11.6553 + 5.93587i 1.40314 + 0.714595i
\(70\) 5.46650 + 7.86544i 0.653372 + 0.940100i
\(71\) 4.20239 + 12.9336i 0.498732 + 1.53494i 0.811059 + 0.584964i \(0.198891\pi\)
−0.312328 + 0.949974i \(0.601109\pi\)
\(72\) 8.94456 5.16874i 1.05413 0.609142i
\(73\) −10.4569 7.59738i −1.22389 0.889206i −0.227470 0.973785i \(-0.573045\pi\)
−0.996417 + 0.0845796i \(0.973045\pi\)
\(74\) 6.10804 10.5794i 0.710046 1.22984i
\(75\) 7.54566 + 4.25005i 0.871298 + 0.490754i
\(76\) −8.87235 15.3674i −1.01773 1.76276i
\(77\) 0.367406 3.49564i 0.0418698 0.398365i
\(78\) −0.508004 + 1.32416i −0.0575201 + 0.149931i
\(79\) −6.36493 1.35291i −0.716111 0.152214i −0.164574 0.986365i \(-0.552625\pi\)
−0.551537 + 0.834151i \(0.685958\pi\)
\(80\) 1.81114 + 1.70081i 0.202492 + 0.190156i
\(81\) 0.947652 + 8.94997i 0.105295 + 0.994441i
\(82\) 6.38940 0.705591
\(83\) −6.26629 6.95942i −0.687815 0.763896i 0.293572 0.955937i \(-0.405156\pi\)
−0.981387 + 0.192041i \(0.938489\pi\)
\(84\) −10.9975 0.574231i −1.19993 0.0626538i
\(85\) −2.28547 5.43708i −0.247894 0.589734i
\(86\) 1.93584 18.4182i 0.208747 1.98609i
\(87\) −6.84483 + 10.5446i −0.733843 + 1.13050i
\(88\) −0.690898 6.57345i −0.0736499 0.700732i
\(89\) −8.55403 6.21487i −0.906726 0.658775i 0.0334588 0.999440i \(-0.489348\pi\)
−0.940185 + 0.340665i \(0.889348\pi\)
\(90\) −14.4637 + 6.08637i −1.52461 + 0.641560i
\(91\) 0.518578 0.376769i 0.0543617 0.0394961i
\(92\) −17.5445 19.4851i −1.82914 2.03146i
\(93\) 1.90417 12.0374i 0.197453 1.24822i
\(94\) 25.7203 5.46703i 2.65285 0.563881i
\(95\) 4.42837 + 10.5350i 0.454341 + 1.08087i
\(96\) 7.33515 1.16322i 0.748640 0.118721i
\(97\) 13.4736 + 2.86389i 1.36803 + 0.290784i 0.832638 0.553817i \(-0.186829\pi\)
0.535395 + 0.844602i \(0.320163\pi\)
\(98\) −6.90132 5.01410i −0.697139 0.506501i
\(99\) 5.47718 + 1.77731i 0.550477 + 0.178627i
\(100\) −11.0656 13.3766i −1.10656 1.33766i
\(101\) 3.06658 5.31147i 0.305136 0.528511i −0.672155 0.740410i \(-0.734631\pi\)
0.977292 + 0.211899i \(0.0679647\pi\)
\(102\) 10.3232 + 2.76396i 1.02215 + 0.273673i
\(103\) −5.33351 + 5.92347i −0.525527 + 0.583657i −0.946211 0.323551i \(-0.895123\pi\)
0.420684 + 0.907207i \(0.361790\pi\)
\(104\) 0.806555 0.895770i 0.0790892 0.0878375i
\(105\) 6.98037 + 1.25465i 0.681214 + 0.122442i
\(106\) −3.68284 4.09021i −0.357709 0.397276i
\(107\) −12.9593 −1.25282 −0.626412 0.779492i \(-0.715477\pi\)
−0.626412 + 0.779492i \(0.715477\pi\)
\(108\) 4.65939 17.4293i 0.448350 1.67714i
\(109\) 4.11285 2.98816i 0.393939 0.286214i −0.373129 0.927780i \(-0.621715\pi\)
0.767068 + 0.641566i \(0.221715\pi\)
\(110\) −0.210367 + 10.0378i −0.0200577 + 0.957071i
\(111\) −2.34275 8.73652i −0.222364 0.829234i
\(112\) 1.85879 + 0.827585i 0.175639 + 0.0781995i
\(113\) 12.2106 + 5.43653i 1.14868 + 0.511426i 0.890640 0.454708i \(-0.150256\pi\)
0.258041 + 0.966134i \(0.416923\pi\)
\(114\) −20.0024 5.35551i −1.87340 0.501589i
\(115\) 9.63691 + 13.8660i 0.898647 + 1.29301i
\(116\) 20.3877 14.8125i 1.89295 1.37531i
\(117\) 0.427493 + 0.959171i 0.0395218 + 0.0886754i
\(118\) 13.5759 1.24976
\(119\) −3.23192 3.58941i −0.296269 0.329040i
\(120\) 13.3301 0.421347i 1.21686 0.0384635i
\(121\) −4.89518 + 5.43665i −0.445017 + 0.494241i
\(122\) 12.8188 14.2368i 1.16056 1.28894i
\(123\) 3.34461 3.34590i 0.301574 0.301690i
\(124\) −12.2151 + 21.1573i −1.09695 + 1.89998i
\(125\) 5.99043 + 9.44006i 0.535801 + 0.844345i
\(126\) −9.54678 + 8.60262i −0.850494 + 0.766382i
\(127\) −9.17993 6.66961i −0.814587 0.591832i 0.100570 0.994930i \(-0.467933\pi\)
−0.915157 + 0.403098i \(0.867933\pi\)
\(128\) −19.6472 4.17615i −1.73659 0.369123i
\(129\) −8.63165 10.6550i −0.759975 0.938121i
\(130\) −1.38604 + 1.19638i −0.121564 + 0.104929i
\(131\) 4.59865 0.977473i 0.401786 0.0854022i −0.00258661 0.999997i \(-0.500823\pi\)
0.404372 + 0.914594i \(0.367490\pi\)
\(132\) −8.97211 7.26261i −0.780922 0.632129i
\(133\) 6.26222 + 6.95489i 0.543003 + 0.603066i
\(134\) −8.99529 + 6.53546i −0.777075 + 0.564578i
\(135\) −4.38401 + 10.7601i −0.377315 + 0.926085i
\(136\) −7.34808 5.33869i −0.630092 0.457789i
\(137\) 1.03584 + 9.85536i 0.0884978 + 0.842000i 0.945267 + 0.326299i \(0.105802\pi\)
−0.856769 + 0.515701i \(0.827532\pi\)
\(138\) −30.5553 1.59543i −2.60104 0.135812i
\(139\) −0.971177 + 9.24013i −0.0823742 + 0.783738i 0.872877 + 0.487941i \(0.162252\pi\)
−0.955251 + 0.295797i \(0.904415\pi\)
\(140\) −12.1607 7.36495i −1.02777 0.622452i
\(141\) 10.6008 16.3306i 0.892746 1.37529i
\(142\) −21.2863 23.6408i −1.78631 1.98390i
\(143\) 0.671884 0.0561858
\(144\) −1.95827 + 2.69751i −0.163189 + 0.224792i
\(145\) −14.2222 + 7.81851i −1.18109 + 0.649292i
\(146\) 29.5750 + 6.28636i 2.44765 + 0.520263i
\(147\) −6.23830 + 0.989281i −0.514526 + 0.0815945i
\(148\) −1.89531 + 18.0326i −0.155793 + 1.48227i
\(149\) 6.77464 + 11.7340i 0.555000 + 0.961288i 0.997904 + 0.0647191i \(0.0206151\pi\)
−0.442903 + 0.896569i \(0.646052\pi\)
\(150\) −20.1689 1.90302i −1.64678 0.155381i
\(151\) −0.919523 + 1.59266i −0.0748297 + 0.129609i −0.901012 0.433794i \(-0.857175\pi\)
0.826182 + 0.563403i \(0.190508\pi\)
\(152\) 14.2378 + 10.3443i 1.15484 + 0.839037i
\(153\) 6.85121 3.95907i 0.553888 0.320072i
\(154\) 2.54080 + 7.81977i 0.204743 + 0.630135i
\(155\) 9.51259 12.5321i 0.764070 1.00660i
\(156\) −0.110576 2.10217i −0.00885318 0.168308i
\(157\) 0.169592 + 0.293742i 0.0135349 + 0.0234432i 0.872714 0.488233i \(-0.162358\pi\)
−0.859179 + 0.511676i \(0.829025\pi\)
\(158\) 14.8891 3.16478i 1.18452 0.251777i
\(159\) −4.06973 0.212500i −0.322751 0.0168523i
\(160\) 9.05461 + 3.15326i 0.715830 + 0.249287i
\(161\) 11.1876 + 8.12824i 0.881704 + 0.640595i
\(162\) −10.5406 18.2245i −0.828152 1.43185i
\(163\) 14.9764 10.8810i 1.17304 0.852264i 0.181671 0.983359i \(-0.441849\pi\)
0.991370 + 0.131095i \(0.0418493\pi\)
\(164\) −8.66368 + 3.85732i −0.676520 + 0.301206i
\(165\) 5.14635 + 5.36461i 0.400643 + 0.417634i
\(166\) 20.0127 + 8.91022i 1.55329 + 0.691568i
\(167\) −9.71158 + 2.06426i −0.751504 + 0.159737i −0.567711 0.823228i \(-0.692171\pi\)
−0.183793 + 0.982965i \(0.558838\pi\)
\(168\) 10.1958 3.91605i 0.786623 0.302130i
\(169\) −8.61671 9.56983i −0.662824 0.736140i
\(170\) 10.0572 + 9.44455i 0.771353 + 0.724364i
\(171\) −13.2750 + 7.67116i −1.01517 + 0.586628i
\(172\) 8.49433 + 26.1428i 0.647686 + 1.99337i
\(173\) 8.63521 3.84464i 0.656523 0.292303i −0.0513101 0.998683i \(-0.516340\pi\)
0.707833 + 0.706380i \(0.249673\pi\)
\(174\) 4.59476 29.0464i 0.348328 2.20200i
\(175\) 7.17540 + 5.68739i 0.542409 + 0.429926i
\(176\) 1.06637 + 1.84701i 0.0803806 + 0.139223i
\(177\) 7.10648 7.10922i 0.534156 0.534362i
\(178\) 24.1932 + 5.14243i 1.81336 + 0.385441i
\(179\) −2.63484 8.10919i −0.196937 0.606109i −0.999949 0.0101460i \(-0.996770\pi\)
0.803012 0.595963i \(-0.203230\pi\)
\(180\) 15.9377 16.9846i 1.18792 1.26596i
\(181\) 0.994944 3.06212i 0.0739536 0.227606i −0.907246 0.420600i \(-0.861820\pi\)
0.981200 + 0.192994i \(0.0618197\pi\)
\(182\) −0.749725 + 1.29856i −0.0555733 + 0.0962558i
\(183\) −0.745102 14.1652i −0.0550796 1.04712i
\(184\) 23.7561 + 10.5769i 1.75132 + 0.779739i
\(185\) 2.66663 11.3687i 0.196055 0.835845i
\(186\) 7.38389 + 27.5358i 0.541413 + 2.01902i
\(187\) −0.529203 5.03503i −0.0386991 0.368198i
\(188\) −31.5749 + 22.9405i −2.30284 + 1.67311i
\(189\) −0.492497 + 9.50246i −0.0358239 + 0.691203i
\(190\) −19.4870 18.2999i −1.41374 1.32762i
\(191\) 0.939890 + 8.94245i 0.0680080 + 0.647053i 0.974432 + 0.224684i \(0.0721349\pi\)
−0.906424 + 0.422370i \(0.861198\pi\)
\(192\) −17.7962 + 11.5618i −1.28433 + 0.834405i
\(193\) 0.925754 + 1.60345i 0.0666372 + 0.115419i 0.897419 0.441179i \(-0.145440\pi\)
−0.830782 + 0.556598i \(0.812106\pi\)
\(194\) −31.5180 + 6.69935i −2.26286 + 0.480986i
\(195\) −0.0990428 + 1.35208i −0.00709260 + 0.0968245i
\(196\) 12.3849 + 2.63249i 0.884634 + 0.188035i
\(197\) 5.40845 + 16.6455i 0.385336 + 1.18594i 0.936236 + 0.351371i \(0.114285\pi\)
−0.550900 + 0.834571i \(0.685715\pi\)
\(198\) −13.3958 + 1.41317i −0.951999 + 0.100430i
\(199\) −20.1811 −1.43060 −0.715300 0.698817i \(-0.753710\pi\)
−0.715300 + 0.698817i \(0.753710\pi\)
\(200\) 15.4219 + 7.65589i 1.09049 + 0.541353i
\(201\) −1.28631 + 8.13159i −0.0907295 + 0.573558i
\(202\) −1.49967 + 14.2684i −0.105516 + 1.00392i
\(203\) −8.89344 + 9.87717i −0.624197 + 0.693241i
\(204\) −15.6663 + 2.48440i −1.09686 + 0.173943i
\(205\) 5.84692 1.76522i 0.408367 0.123289i
\(206\) 5.76183 17.7331i 0.401446 1.23552i
\(207\) −16.8300 + 15.1656i −1.16977 + 1.05408i
\(208\) −0.120189 + 0.369903i −0.00833360 + 0.0256482i
\(209\) 1.02539 + 9.75595i 0.0709279 + 0.674833i
\(210\) −16.1108 + 3.96032i −1.11175 + 0.273288i
\(211\) 0.0863484 0.821550i 0.00594447 0.0565578i −0.991148 0.132765i \(-0.957614\pi\)
0.997092 + 0.0762073i \(0.0242811\pi\)
\(212\) 7.46302 + 3.32275i 0.512563 + 0.228208i
\(213\) −23.5225 1.22822i −1.61173 0.0841561i
\(214\) 27.6941 12.3302i 1.89313 0.842877i
\(215\) −3.31700 17.3893i −0.226218 1.18594i
\(216\) 2.80931 + 17.6712i 0.191149 + 1.20237i
\(217\) 3.98162 12.2542i 0.270290 0.831867i
\(218\) −5.94608 + 10.2989i −0.402719 + 0.697530i
\(219\) 18.7734 12.1967i 1.26859 0.824178i
\(220\) −5.77467 13.7378i −0.389328 0.926202i
\(221\) 0.617792 0.686127i 0.0415572 0.0461539i
\(222\) 13.3189 + 16.4410i 0.893905 + 1.10345i
\(223\) −4.47037 + 1.99034i −0.299358 + 0.133283i −0.550919 0.834559i \(-0.685723\pi\)
0.251561 + 0.967841i \(0.419056\pi\)
\(224\) 7.85196 0.524631
\(225\) −11.5542 + 9.56557i −0.770281 + 0.637705i
\(226\) −31.2669 −2.07984
\(227\) −15.2860 + 6.80578i −1.01457 + 0.451716i −0.845550 0.533897i \(-0.820727\pi\)
−0.169021 + 0.985613i \(0.554060\pi\)
\(228\) 30.3554 4.81382i 2.01033 0.318803i
\(229\) 2.47511 2.74889i 0.163560 0.181652i −0.655794 0.754940i \(-0.727666\pi\)
0.819354 + 0.573289i \(0.194333\pi\)
\(230\) −33.7870 20.4626i −2.22785 1.34927i
\(231\) 5.42496 + 2.76284i 0.356936 + 0.181781i
\(232\) −12.4967 + 21.6450i −0.820450 + 1.42106i
\(233\) 0.0866930 0.266814i 0.00567945 0.0174795i −0.948177 0.317744i \(-0.897075\pi\)
0.953856 + 0.300264i \(0.0970748\pi\)
\(234\) −1.82617 1.64301i −0.119380 0.107407i
\(235\) 22.0262 12.1087i 1.43683 0.789886i
\(236\) −18.4082 + 8.19586i −1.19827 + 0.533505i
\(237\) 6.13663 9.45356i 0.398617 0.614075i
\(238\) 10.3218 + 4.59556i 0.669062 + 0.297886i
\(239\) −1.97184 + 18.7608i −0.127548 + 1.21354i 0.724202 + 0.689588i \(0.242208\pi\)
−0.851750 + 0.523949i \(0.824458\pi\)
\(240\) −3.87406 + 1.87366i −0.250069 + 0.120945i
\(241\) −1.59183 15.1453i −0.102539 0.975592i −0.917946 0.396704i \(-0.870154\pi\)
0.815408 0.578887i \(-0.196513\pi\)
\(242\) 5.28830 16.2757i 0.339945 1.04624i
\(243\) −15.0612 4.02009i −0.966175 0.257889i
\(244\) −8.78684 + 27.0431i −0.562520 + 1.73126i
\(245\) −7.70065 2.68174i −0.491976 0.171330i
\(246\) −3.96398 + 10.3325i −0.252734 + 0.658774i
\(247\) −1.19704 + 1.32945i −0.0761661 + 0.0845910i
\(248\) 2.53267 24.0968i 0.160825 1.53015i
\(249\) 15.1419 5.81577i 0.959578 0.368559i
\(250\) −21.7834 14.4738i −1.37770 0.915406i
\(251\) 8.19742 0.517417 0.258708 0.965956i \(-0.416703\pi\)
0.258708 + 0.965956i \(0.416703\pi\)
\(252\) 7.75147 17.4281i 0.488296 1.09787i
\(253\) 4.47918 + 13.7855i 0.281604 + 0.866687i
\(254\) 25.9634 + 5.51870i 1.62909 + 0.346274i
\(255\) 10.2104 0.322737i 0.639397 0.0202105i
\(256\) 21.9899 4.67410i 1.37437 0.292132i
\(257\) 8.09787 + 14.0259i 0.505131 + 0.874913i 0.999982 + 0.00593500i \(0.00188918\pi\)
−0.494851 + 0.868978i \(0.664777\pi\)
\(258\) 28.5837 + 14.5572i 1.77954 + 0.906290i
\(259\) −0.999604 9.51059i −0.0621123 0.590959i
\(260\) 1.15714 2.45899i 0.0717629 0.152500i
\(261\) −12.8054 17.6108i −0.792633 1.09008i
\(262\) −8.89732 + 6.46428i −0.549678 + 0.399365i
\(263\) −1.80260 17.1506i −0.111153 1.05755i −0.897877 0.440247i \(-0.854891\pi\)
0.786724 0.617305i \(-0.211776\pi\)
\(264\) 11.0587 + 2.96090i 0.680619 + 0.182231i
\(265\) −4.50018 2.72547i −0.276444 0.167424i
\(266\) −19.9997 8.90443i −1.22626 0.545966i
\(267\) 15.3572 9.97727i 0.939843 0.610599i
\(268\) 8.25164 14.2923i 0.504049 0.873039i
\(269\) −5.23420 + 16.1092i −0.319135 + 0.982196i 0.654884 + 0.755729i \(0.272717\pi\)
−0.974019 + 0.226467i \(0.927283\pi\)
\(270\) −0.869148 27.1657i −0.0528947 1.65325i
\(271\) −4.11591 12.6675i −0.250024 0.769494i −0.994769 0.102146i \(-0.967429\pi\)
0.744746 0.667349i \(-0.232571\pi\)
\(272\) 2.86668 + 0.609332i 0.173818 + 0.0369462i
\(273\) 0.287558 + 1.07235i 0.0174038 + 0.0649018i
\(274\) −11.5905 20.0754i −0.700210 1.21280i
\(275\) 2.58069 + 9.24373i 0.155621 + 0.557418i
\(276\) 42.3945 16.2831i 2.55185 0.980127i
\(277\) 17.7559 7.90542i 1.06685 0.474991i 0.203225 0.979132i \(-0.434858\pi\)
0.863621 + 0.504141i \(0.168191\pi\)
\(278\) −6.71617 20.6703i −0.402809 1.23972i
\(279\) 18.2847 + 10.5473i 1.09468 + 0.631451i
\(280\) 13.9890 + 1.76737i 0.836003 + 0.105621i
\(281\) −10.1495 11.2721i −0.605466 0.672438i 0.360004 0.932951i \(-0.382775\pi\)
−0.965471 + 0.260512i \(0.916109\pi\)
\(282\) −7.11602 + 44.9848i −0.423753 + 2.67881i
\(283\) 19.8178 4.21241i 1.17805 0.250402i 0.423036 0.906113i \(-0.360964\pi\)
0.755012 + 0.655711i \(0.227631\pi\)
\(284\) 43.1352 + 19.2050i 2.55961 + 1.13961i
\(285\) −19.7838 + 0.625340i −1.17189 + 0.0370419i
\(286\) −1.43582 + 0.639269i −0.0849019 + 0.0378007i
\(287\) 4.04649 2.93995i 0.238857 0.173540i
\(288\) −2.66965 + 12.5835i −0.157310 + 0.741492i
\(289\) 8.12493 + 5.90310i 0.477937 + 0.347241i
\(290\) 22.9539 30.2400i 1.34790 1.77575i
\(291\) −12.9903 + 20.0117i −0.761504 + 1.17311i
\(292\) −43.8973 + 9.33065i −2.56889 + 0.546035i
\(293\) −8.88207 15.3842i −0.518896 0.898754i −0.999759 0.0219583i \(-0.993010\pi\)
0.480863 0.876796i \(-0.340323\pi\)
\(294\) 12.3900 8.04957i 0.722601 0.469460i
\(295\) 12.4233 3.75067i 0.723311 0.218372i
\(296\) −5.55703 17.1028i −0.322996 0.994079i
\(297\) −6.27218 + 7.75466i −0.363949 + 0.449971i
\(298\) −25.6419 18.6299i −1.48539 1.07920i
\(299\) −1.32169 + 2.28924i −0.0764354 + 0.132390i
\(300\) 28.4968 9.59569i 1.64526 0.554007i
\(301\) −7.24878 12.5553i −0.417813 0.723673i
\(302\) 0.449680 4.27841i 0.0258761 0.246195i
\(303\) 6.68683 + 8.25429i 0.384148 + 0.474197i
\(304\) −5.55453 1.18065i −0.318574 0.0677150i
\(305\) 7.79724 16.5695i 0.446469 0.948769i
\(306\) −10.8742 + 14.9792i −0.621637 + 0.856303i
\(307\) 8.60655 0.491202 0.245601 0.969371i \(-0.421015\pi\)
0.245601 + 0.969371i \(0.421015\pi\)
\(308\) −8.16604 9.06930i −0.465303 0.516771i
\(309\) −6.27009 12.2999i −0.356693 0.699717i
\(310\) −8.40471 + 35.8320i −0.477356 + 2.03512i
\(311\) −1.67359 + 15.9231i −0.0949005 + 0.902918i 0.838698 + 0.544597i \(0.183317\pi\)
−0.933598 + 0.358321i \(0.883349\pi\)
\(312\) 0.948188 + 1.86004i 0.0536806 + 0.105304i
\(313\) −0.888904 8.45736i −0.0502438 0.478038i −0.990494 0.137554i \(-0.956076\pi\)
0.940250 0.340484i \(-0.110591\pi\)
\(314\) −0.641902 0.466369i −0.0362246 0.0263187i
\(315\) −6.35955 + 10.5098i −0.358320 + 0.592158i
\(316\) −18.2783 + 13.2799i −1.02823 + 0.747055i
\(317\) 12.6616 + 14.0621i 0.711146 + 0.789807i 0.985109 0.171933i \(-0.0550013\pi\)
−0.273963 + 0.961740i \(0.588335\pi\)
\(318\) 8.89923 3.41806i 0.499044 0.191675i
\(319\) −13.6270 + 2.89652i −0.762968 + 0.162174i
\(320\) −27.3016 + 2.29230i −1.52621 + 0.128143i
\(321\) 8.03996 20.9569i 0.448747 1.16970i
\(322\) −31.6416 6.72563i −1.76332 0.374804i
\(323\) 10.9056 + 7.92339i 0.606805 + 0.440869i
\(324\) 25.2948 + 18.3480i 1.40527 + 1.01933i
\(325\) −0.937838 + 1.47773i −0.0520219 + 0.0819696i
\(326\) −21.6519 + 37.5021i −1.19919 + 2.07705i
\(327\) 2.28062 + 8.50485i 0.126119 + 0.470319i
\(328\) 6.29360 6.98975i 0.347506 0.385944i
\(329\) 13.7735 15.2970i 0.759358 0.843352i
\(330\) −16.1020 6.56767i −0.886385 0.361538i
\(331\) −3.12999 3.47621i −0.172040 0.191070i 0.650959 0.759113i \(-0.274367\pi\)
−0.822998 + 0.568044i \(0.807701\pi\)
\(332\) −32.5153 −1.78451
\(333\) 15.5815 + 1.63161i 0.853861 + 0.0894119i
\(334\) 18.7897 13.6515i 1.02812 0.746976i
\(335\) −6.42599 + 8.46575i −0.351090 + 0.462534i
\(336\) −2.49150 + 2.49246i −0.135923 + 0.135975i
\(337\) −22.7914 10.1474i −1.24153 0.552764i −0.322356 0.946618i \(-0.604475\pi\)
−0.919173 + 0.393854i \(0.871142\pi\)
\(338\) 27.5192 + 12.2524i 1.49685 + 0.666440i
\(339\) −16.3671 + 16.3734i −0.888936 + 0.889279i
\(340\) −19.3388 6.73470i −1.04879 0.365240i
\(341\) 10.9263 7.93842i 0.591692 0.429890i
\(342\) 21.0700 29.0239i 1.13934 1.56944i
\(343\) −19.4963 −1.05270
\(344\) −18.2420 20.2598i −0.983544 1.09234i
\(345\) −28.4018 + 6.98165i −1.52910 + 0.375880i
\(346\) −14.7955 + 16.4321i −0.795410 + 0.883393i
\(347\) 22.2680 24.7312i 1.19541 1.32764i 0.263626 0.964625i \(-0.415081\pi\)
0.931784 0.363013i \(-0.118252\pi\)
\(348\) 11.3052 + 42.1592i 0.606024 + 2.25997i
\(349\) −5.88580 + 10.1945i −0.315060 + 0.545700i −0.979450 0.201686i \(-0.935358\pi\)
0.664390 + 0.747386i \(0.268691\pi\)
\(350\) −20.7452 5.32691i −1.10888 0.284736i
\(351\) −1.81632 + 0.0962417i −0.0969480 + 0.00513700i
\(352\) 6.65847 + 4.83766i 0.354898 + 0.257848i
\(353\) −8.12194 1.72637i −0.432287 0.0918855i −0.0133714 0.999911i \(-0.504256\pi\)
−0.418916 + 0.908025i \(0.637590\pi\)
\(354\) −8.42249 + 21.9540i −0.447650 + 1.16684i
\(355\) −26.0104 15.7528i −1.38049 0.836073i
\(356\) −35.9092 + 7.63274i −1.90319 + 0.404535i
\(357\) 7.80961 2.99955i 0.413328 0.158753i
\(358\) 13.3462 + 14.8225i 0.705369 + 0.783392i
\(359\) −18.6157 + 13.5251i −0.982499 + 0.713828i −0.958266 0.285879i \(-0.907715\pi\)
−0.0242336 + 0.999706i \(0.507715\pi\)
\(360\) −7.58861 + 21.8178i −0.399955 + 1.14990i
\(361\) −5.75958 4.18458i −0.303136 0.220241i
\(362\) 0.787276 + 7.49043i 0.0413783 + 0.393688i
\(363\) −5.75479 11.2890i −0.302048 0.592521i
\(364\) 0.232637 2.21339i 0.0121935 0.116013i
\(365\) 28.8008 2.41817i 1.50750 0.126573i
\(366\) 15.0699 + 29.5622i 0.787714 + 1.54524i
\(367\) 23.6129 + 26.2247i 1.23258 + 1.36892i 0.905736 + 0.423842i \(0.139319\pi\)
0.326845 + 0.945078i \(0.394014\pi\)
\(368\) −8.39081 −0.437401
\(369\) 3.33576 + 7.48447i 0.173652 + 0.389626i
\(370\) 5.11823 + 26.8322i 0.266084 + 1.39494i
\(371\) −4.21442 0.895802i −0.218802 0.0465077i
\(372\) −26.6357 32.8794i −1.38100 1.70472i
\(373\) −2.06339 + 19.6318i −0.106838 + 1.01650i 0.801424 + 0.598096i \(0.204076\pi\)
−0.908262 + 0.418401i \(0.862591\pi\)
\(374\) 5.92152 + 10.2564i 0.306195 + 0.530344i
\(375\) −18.9823 + 3.83069i −0.980239 + 0.197816i
\(376\) 19.3540 33.5221i 0.998106 1.72877i
\(377\) −2.05541 1.49334i −0.105859 0.0769112i
\(378\) −7.98871 20.7754i −0.410895 1.06857i
\(379\) −3.23744 9.96380i −0.166296 0.511806i 0.832834 0.553524i \(-0.186717\pi\)
−0.999129 + 0.0417174i \(0.986717\pi\)
\(380\) 37.4712 + 13.0493i 1.92223 + 0.669413i
\(381\) 16.4808 10.7073i 0.844339 0.548552i
\(382\) −10.5169 18.2158i −0.538092 0.932003i
\(383\) −12.3836 + 2.63221i −0.632770 + 0.134500i −0.513120 0.858317i \(-0.671511\pi\)
−0.119650 + 0.992816i \(0.538177\pi\)
\(384\) 18.9425 29.1812i 0.966656 1.48915i
\(385\) 4.48548 + 6.45390i 0.228601 + 0.328921i
\(386\) −3.50396 2.54578i −0.178347 0.129577i
\(387\) 22.5856 7.34812i 1.14809 0.373526i
\(388\) 38.6923 28.1116i 1.96430 1.42715i
\(389\) 1.65129 0.735200i 0.0837236 0.0372761i −0.364448 0.931224i \(-0.618742\pi\)
0.448171 + 0.893948i \(0.352076\pi\)
\(390\) −1.07479 2.98364i −0.0544242 0.151083i
\(391\) 18.1963 + 8.10152i 0.920227 + 0.409712i
\(392\) −12.2831 + 2.61085i −0.620389 + 0.131868i
\(393\) −1.27230 + 8.04303i −0.0641792 + 0.405717i
\(394\) −27.3954 30.4256i −1.38016 1.53282i
\(395\) 12.7507 7.00957i 0.641556 0.352690i
\(396\) 17.3109 10.0033i 0.869904 0.502686i
\(397\) 8.63713 + 26.5824i 0.433485 + 1.33413i 0.894631 + 0.446806i \(0.147439\pi\)
−0.461146 + 0.887324i \(0.652561\pi\)
\(398\) 43.1272 19.2015i 2.16177 0.962482i
\(399\) −15.1320 + 5.81199i −0.757549 + 0.290963i
\(400\) −5.55074 0.232760i −0.277537 0.0116380i
\(401\) 9.31544 + 16.1348i 0.465191 + 0.805734i 0.999210 0.0397380i \(-0.0126523\pi\)
−0.534019 + 0.845472i \(0.679319\pi\)
\(402\) −4.98800 18.6011i −0.248779 0.927741i
\(403\) 2.40915 + 0.512081i 0.120008 + 0.0255086i
\(404\) −6.58044 20.2525i −0.327389 1.00760i
\(405\) −14.6807 13.7651i −0.729489 0.683993i
\(406\) 9.60765 29.5693i 0.476820 1.46750i
\(407\) 5.01189 8.68085i 0.248430 0.430294i
\(408\) 13.1921 8.57066i 0.653106 0.424311i
\(409\) −32.3359 14.3969i −1.59891 0.711879i −0.602624 0.798025i \(-0.705878\pi\)
−0.996283 + 0.0861459i \(0.972545\pi\)
\(410\) −10.8154 + 9.33539i −0.534133 + 0.461042i
\(411\) −16.5800 4.43918i −0.817832 0.218969i
\(412\) 2.89285 + 27.5236i 0.142520 + 1.35599i
\(413\) 8.59780 6.24667i 0.423070 0.307378i
\(414\) 21.5365 48.4220i 1.05846 2.37981i
\(415\) 20.7752 + 2.62474i 1.01982 + 0.128843i
\(416\) 0.156890 + 1.49271i 0.00769216 + 0.0731860i
\(417\) −14.3400 7.30310i −0.702231 0.357634i
\(418\) −11.4736 19.8729i −0.561194 0.972017i
\(419\) −2.54495 + 0.540947i −0.124329 + 0.0264270i −0.269656 0.962957i \(-0.586910\pi\)
0.145327 + 0.989384i \(0.453577\pi\)
\(420\) 19.4546 15.0962i 0.949286 0.736619i
\(421\) 6.57273 + 1.39708i 0.320335 + 0.0680893i 0.365273 0.930900i \(-0.380976\pi\)
−0.0449378 + 0.998990i \(0.514309\pi\)
\(422\) 0.597142 + 1.83781i 0.0290684 + 0.0894634i
\(423\) 19.8320 + 27.2743i 0.964265 + 1.32612i
\(424\) −8.10215 −0.393475
\(425\) 11.8126 + 5.86414i 0.572996 + 0.284452i
\(426\) 51.4363 19.7559i 2.49210 0.957177i
\(427\) 1.56759 14.9147i 0.0758612 0.721771i
\(428\) −30.1079 + 33.4383i −1.45532 + 1.61630i
\(429\) −0.416837 + 1.08652i −0.0201251 + 0.0524578i
\(430\) 23.6336 + 34.0051i 1.13972 + 1.63987i
\(431\) −8.85920 + 27.2658i −0.426732 + 1.31335i 0.474593 + 0.880205i \(0.342595\pi\)
−0.901326 + 0.433142i \(0.857405\pi\)
\(432\) −3.14731 4.84031i −0.151425 0.232879i
\(433\) −5.20231 + 16.0111i −0.250007 + 0.769443i 0.744765 + 0.667327i \(0.232561\pi\)
−0.994772 + 0.102116i \(0.967439\pi\)
\(434\) 3.15056 + 29.9756i 0.151232 + 1.43887i
\(435\) −3.82010 27.8497i −0.183160 1.33529i
\(436\) 1.84505 17.5545i 0.0883618 0.840706i
\(437\) −35.2575 15.6976i −1.68659 0.750920i
\(438\) −28.5142 + 43.9265i −1.36246 + 2.09889i
\(439\) 7.10691 3.16420i 0.339194 0.151019i −0.230069 0.973174i \(-0.573895\pi\)
0.569263 + 0.822155i \(0.307229\pi\)
\(440\) 10.7738 + 10.1175i 0.513621 + 0.482332i
\(441\) 2.27045 10.7019i 0.108116 0.509613i
\(442\) −0.667405 + 2.05406i −0.0317452 + 0.0977017i
\(443\) 6.75591 11.7016i 0.320983 0.555959i −0.659708 0.751522i \(-0.729320\pi\)
0.980691 + 0.195563i \(0.0626534\pi\)
\(444\) −27.9852 14.2524i −1.32812 0.676389i
\(445\) 23.5599 1.97813i 1.11685 0.0937725i
\(446\) 7.65950 8.50673i 0.362688 0.402806i
\(447\) −23.1784 + 3.67568i −1.09630 + 0.173853i
\(448\) −20.4973 + 9.12598i −0.968405 + 0.431162i
\(449\) −32.5272 −1.53506 −0.767528 0.641016i \(-0.778513\pi\)
−0.767528 + 0.641016i \(0.778513\pi\)
\(450\) 15.5902 31.4350i 0.734929 1.48186i
\(451\) 5.24275 0.246872
\(452\) 42.3962 18.8760i 1.99415 0.887853i
\(453\) −2.00507 2.47507i −0.0942062 0.116289i
\(454\) 26.1910 29.0880i 1.22920 1.36517i
\(455\) −0.327313 + 1.39544i −0.0153447 + 0.0654192i
\(456\) −25.5612 + 16.6067i −1.19701 + 0.777678i
\(457\) −1.62771 + 2.81927i −0.0761410 + 0.131880i −0.901582 0.432608i \(-0.857593\pi\)
0.825441 + 0.564489i \(0.190927\pi\)
\(458\) −2.67388 + 8.22935i −0.124942 + 0.384532i
\(459\) 2.15183 + 13.5355i 0.100439 + 0.631783i
\(460\) 58.1669 + 7.34880i 2.71204 + 0.342639i
\(461\) −23.3371 + 10.3904i −1.08692 + 0.483927i −0.870397 0.492351i \(-0.836138\pi\)
−0.216521 + 0.976278i \(0.569471\pi\)
\(462\) −14.2219 0.742591i −0.661662 0.0345485i
\(463\) 30.0355 + 13.3727i 1.39587 + 0.621481i 0.960375 0.278711i \(-0.0899072\pi\)
0.435494 + 0.900192i \(0.356574\pi\)
\(464\) 0.842984 8.02046i 0.0391346 0.372340i
\(465\) 14.3644 + 23.1580i 0.666134 + 1.07393i
\(466\) 0.0685981 + 0.652668i 0.00317775 + 0.0302342i
\(467\) −3.22065 + 9.91215i −0.149034 + 0.458680i −0.997508 0.0705580i \(-0.977522\pi\)
0.848474 + 0.529238i \(0.177522\pi\)
\(468\) 3.46808 + 1.12537i 0.160312 + 0.0520203i
\(469\) −2.68968 + 8.27799i −0.124198 + 0.382242i
\(470\) −35.5493 + 46.8334i −1.63977 + 2.16027i
\(471\) −0.580233 + 0.0920145i −0.0267357 + 0.00423980i
\(472\) 13.3723 14.8515i 0.615512 0.683595i
\(473\) 1.58843 15.1129i 0.0730361 0.694892i
\(474\) −4.11936 + 26.0411i −0.189208 + 1.19611i
\(475\) −22.8883 11.3625i −1.05019 0.521345i
\(476\) −16.7702 −0.768659
\(477\) 2.86850 6.44944i 0.131340 0.295300i
\(478\) −13.6363 41.9682i −0.623709 1.91958i
\(479\) 25.2389 + 5.36469i 1.15319 + 0.245119i 0.744545 0.667572i \(-0.232666\pi\)
0.408650 + 0.912691i \(0.366000\pi\)
\(480\) −10.7167 + 12.6862i −0.489148 + 0.579043i
\(481\) 1.78805 0.380062i 0.0815281 0.0173293i
\(482\) 17.8118 + 30.8510i 0.811306 + 1.40522i
\(483\) −20.0852 + 13.0490i −0.913907 + 0.593749i
\(484\) 2.65510 + 25.2616i 0.120686 + 1.14825i
\(485\) −26.9912 + 14.8382i −1.22561 + 0.673766i
\(486\) 36.0108 5.73910i 1.63348 0.260331i
\(487\) −2.52369 + 1.83357i −0.114359 + 0.0830868i −0.643495 0.765450i \(-0.722516\pi\)
0.529136 + 0.848537i \(0.322516\pi\)
\(488\) −2.94782 28.0466i −0.133441 1.26961i
\(489\) 8.30459 + 30.9693i 0.375547 + 1.40048i
\(490\) 19.0079 1.59594i 0.858689 0.0720972i
\(491\) −3.78904 1.68699i −0.170997 0.0761328i 0.319453 0.947602i \(-0.396501\pi\)
−0.490450 + 0.871469i \(0.663168\pi\)
\(492\) −0.862832 16.4034i −0.0388995 0.739521i
\(493\) −9.57204 + 16.5793i −0.431103 + 0.746692i
\(494\) 1.29318 3.97999i 0.0581827 0.179068i
\(495\) −11.8681 + 4.99411i −0.533429 + 0.224468i
\(496\) 2.41594 + 7.43548i 0.108479 + 0.333863i
\(497\) −24.3588 5.17761i −1.09264 0.232248i
\(498\) −26.8248 + 26.8352i −1.20205 + 1.20251i
\(499\) −5.49337 9.51479i −0.245917 0.425941i 0.716472 0.697616i \(-0.245756\pi\)
−0.962389 + 0.271675i \(0.912422\pi\)
\(500\) 38.2751 + 6.47497i 1.71171 + 0.289569i
\(501\) 2.68689 16.9855i 0.120041 0.758858i
\(502\) −17.5179 + 7.79949i −0.781864 + 0.348108i
\(503\) −0.0760290 0.233993i −0.00338996 0.0104332i 0.949347 0.314229i \(-0.101746\pi\)
−0.952737 + 0.303796i \(0.901746\pi\)
\(504\) 0.00728756 + 18.9174i 0.000324614 + 0.842649i
\(505\) 2.56964 + 13.4713i 0.114347 + 0.599464i
\(506\) −22.6884 25.1980i −1.00862 1.12019i
\(507\) 20.8214 7.99721i 0.924713 0.355168i
\(508\) −38.5367 + 8.19123i −1.70979 + 0.363427i
\(509\) 14.0356 + 6.24904i 0.622115 + 0.276984i 0.693490 0.720466i \(-0.256072\pi\)
−0.0713749 + 0.997450i \(0.522739\pi\)
\(510\) −21.5125 + 10.4044i −0.952591 + 0.460715i
\(511\) 21.6228 9.62709i 0.956536 0.425877i
\(512\) −10.0453 + 7.29837i −0.443946 + 0.322546i
\(513\) −4.16942 26.2266i −0.184085 1.15793i
\(514\) −30.6503 22.2687i −1.35192 0.982231i
\(515\) 0.373447 17.8194i 0.0164560 0.785215i
\(516\) −47.5462 2.48261i −2.09311 0.109291i
\(517\) 21.1046 4.48591i 0.928177 0.197290i
\(518\) 11.1851 + 19.3731i 0.491444 + 0.851206i
\(519\) 0.859996 + 16.3495i 0.0377497 + 0.717661i
\(520\) −0.0564741 + 2.69471i −0.00247655 + 0.118171i
\(521\) −3.21801 9.90401i −0.140983 0.433902i 0.855489 0.517821i \(-0.173257\pi\)
−0.996473 + 0.0839183i \(0.973257\pi\)
\(522\) 44.1211 + 25.4507i 1.93113 + 1.11395i
\(523\) 8.70698 + 6.32599i 0.380730 + 0.276616i 0.761646 0.647993i \(-0.224391\pi\)
−0.380916 + 0.924609i \(0.624391\pi\)
\(524\) 8.16176 14.1366i 0.356548 0.617560i
\(525\) −13.6489 + 8.07508i −0.595685 + 0.352425i
\(526\) 20.1702 + 34.9359i 0.879464 + 1.52328i
\(527\) 1.93993 18.4572i 0.0845049 0.804010i
\(528\) −3.64842 + 0.578574i −0.158777 + 0.0251792i
\(529\) −33.2836 7.07466i −1.44712 0.307594i
\(530\) 12.2101 + 1.54262i 0.530372 + 0.0670071i
\(531\) 7.08766 + 15.9027i 0.307578 + 0.690116i
\(532\) 32.4942 1.40880
\(533\) 0.639756 + 0.710521i 0.0277109 + 0.0307761i
\(534\) −23.3254 + 35.9332i −1.00939 + 1.55498i
\(535\) 21.9363 18.9345i 0.948390 0.818611i
\(536\) −1.71088 + 16.2780i −0.0738989 + 0.703101i
\(537\) 14.7483 + 0.770075i 0.636434 + 0.0332312i
\(538\) −4.14170 39.4056i −0.178561 1.69890i
\(539\) −5.66281 4.11427i −0.243914 0.177214i
\(540\) 17.5786 + 36.3105i 0.756463 + 1.56256i
\(541\) −18.6252 + 13.5320i −0.800760 + 0.581786i −0.911137 0.412104i \(-0.864794\pi\)
0.110377 + 0.993890i \(0.464794\pi\)
\(542\) 20.8483 + 23.1544i 0.895511 + 0.994566i
\(543\) 4.33458 + 3.50869i 0.186015 + 0.150572i
\(544\) 11.0626 2.35143i 0.474306 0.100817i
\(545\) −2.59592 + 11.0673i −0.111197 + 0.474069i
\(546\) −1.63481 2.01803i −0.0699634 0.0863636i
\(547\) −19.2259 4.08660i −0.822041 0.174730i −0.222355 0.974966i \(-0.571374\pi\)
−0.599686 + 0.800235i \(0.704708\pi\)
\(548\) 27.8358 + 20.2239i 1.18909 + 0.863922i
\(549\) 23.3692 + 7.58316i 0.997373 + 0.323641i
\(550\) −14.3100 17.2985i −0.610179 0.737611i
\(551\) 18.5469 32.1243i 0.790126 1.36854i
\(552\) −31.8425 + 31.8548i −1.35531 + 1.35583i
\(553\) 7.97328 8.85522i 0.339058 0.376562i
\(554\) −30.4227 + 33.7879i −1.29254 + 1.43551i
\(555\) 16.7303 + 11.3654i 0.710161 + 0.482436i
\(556\) 21.5855 + 23.9732i 0.915431 + 1.01669i
\(557\) 31.2358 1.32350 0.661751 0.749724i \(-0.269814\pi\)
0.661751 + 0.749724i \(0.269814\pi\)
\(558\) −49.1099 5.14253i −2.07899 0.217701i
\(559\) 2.24200 1.62891i 0.0948264 0.0688954i
\(560\) −4.35555 + 1.31497i −0.184055 + 0.0555675i
\(561\) 8.47060 + 2.26794i 0.357629 + 0.0957526i
\(562\) 32.4144 + 14.4318i 1.36732 + 0.608770i
\(563\) −15.3024 6.81308i −0.644921 0.287137i 0.0580954 0.998311i \(-0.481497\pi\)
−0.703016 + 0.711174i \(0.748164\pi\)
\(564\) −17.5087 65.2931i −0.737249 2.74933i
\(565\) −28.6122 + 8.63822i −1.20373 + 0.363413i
\(566\) −38.3429 + 27.8578i −1.61167 + 1.17095i
\(567\) −15.0612 6.69176i −0.632509 0.281028i
\(568\) −46.8293 −1.96491
\(569\) 13.1713 + 14.6283i 0.552171 + 0.613249i 0.953024 0.302894i \(-0.0979528\pi\)
−0.400853 + 0.916142i \(0.631286\pi\)
\(570\) 41.6831 20.1598i 1.74591 0.844399i
\(571\) 0.969716 1.07698i 0.0405813 0.0450701i −0.722512 0.691358i \(-0.757013\pi\)
0.763094 + 0.646288i \(0.223679\pi\)
\(572\) 1.56097 1.73363i 0.0652673 0.0724867i
\(573\) −15.0442 4.02798i −0.628481 0.168271i
\(574\) −5.85015 + 10.1328i −0.244180 + 0.422933i
\(575\) −36.5717 9.39083i −1.52515 0.391625i
\(576\) −7.65624 35.9517i −0.319010 1.49799i
\(577\) 31.9709 + 23.2282i 1.33097 + 0.967004i 0.999725 + 0.0234587i \(0.00746783\pi\)
0.331243 + 0.943546i \(0.392532\pi\)
\(578\) −22.9796 4.88446i −0.955824 0.203167i
\(579\) −3.16733 + 0.502281i −0.131630 + 0.0208741i
\(580\) −12.8682 + 54.8612i −0.534322 + 2.27799i
\(581\) 16.7742 3.56546i 0.695910 0.147920i
\(582\) 8.72004 55.1249i 0.361457 2.28500i
\(583\) −3.02192 3.35618i −0.125155 0.138999i
\(584\) 36.0086 26.1618i 1.49005 1.08258i
\(585\) −2.12504 0.998996i −0.0878597 0.0413034i
\(586\) 33.6184 + 24.4252i 1.38876 + 1.00900i
\(587\) −1.25291 11.9206i −0.0517130 0.492016i −0.989471 0.144728i \(-0.953769\pi\)
0.937758 0.347288i \(-0.112897\pi\)
\(588\) −11.9406 + 18.3947i −0.492424 + 0.758586i
\(589\) −3.75885 + 35.7631i −0.154881 + 1.47359i
\(590\) −22.9800 + 19.8354i −0.946072 + 0.816611i
\(591\) −30.2733 1.58071i −1.24528 0.0650217i
\(592\) 3.88266 + 4.31214i 0.159577 + 0.177228i
\(593\) −23.8651 −0.980022 −0.490011 0.871716i \(-0.663007\pi\)
−0.490011 + 0.871716i \(0.663007\pi\)
\(594\) 6.02548 22.5395i 0.247228 0.924806i
\(595\) 10.7151 + 1.35374i 0.439275 + 0.0554980i
\(596\) 46.0160 + 9.78100i 1.88489 + 0.400646i
\(597\) 12.5204 32.6354i 0.512424 1.33568i
\(598\) 0.646354 6.14965i 0.0264314 0.251478i
\(599\) −20.3323 35.2166i −0.830757 1.43891i −0.897439 0.441138i \(-0.854575\pi\)
0.0666825 0.997774i \(-0.478759\pi\)
\(600\) −21.9483 + 20.1895i −0.896036 + 0.824231i
\(601\) 10.9275 18.9269i 0.445741 0.772046i −0.552363 0.833604i \(-0.686274\pi\)
0.998104 + 0.0615580i \(0.0196069\pi\)
\(602\) 27.4365 + 19.9338i 1.11823 + 0.812440i
\(603\) −12.3518 7.12497i −0.503004 0.290151i
\(604\) 1.97317 + 6.07278i 0.0802870 + 0.247098i
\(605\) 0.342755 16.3549i 0.0139350 0.664921i
\(606\) −22.1434 11.2773i −0.899514 0.458107i
\(607\) −12.4376 21.5426i −0.504827 0.874385i −0.999984 0.00558229i \(-0.998223\pi\)
0.495158 0.868803i \(-0.335110\pi\)
\(608\) −21.4351 + 4.55618i −0.869309 + 0.184777i
\(609\) −10.4552 20.5096i −0.423664 0.831092i
\(610\) −0.897560 + 42.8280i −0.0363412 + 1.73405i
\(611\) 3.18327 + 2.31278i 0.128781 + 0.0935651i
\(612\) 5.70181 26.8758i 0.230482 1.08639i
\(613\) −6.49407 + 4.71822i −0.262293 + 0.190567i −0.711157 0.703033i \(-0.751829\pi\)
0.448864 + 0.893600i \(0.351829\pi\)
\(614\) −18.3923 + 8.18876i −0.742251 + 0.330472i
\(615\) −0.772837 + 10.5504i −0.0311638 + 0.425432i
\(616\) 11.0572 + 4.92299i 0.445508 + 0.198353i
\(617\) 7.88641 1.67631i 0.317495 0.0674857i −0.0464078 0.998923i \(-0.514777\pi\)
0.363903 + 0.931437i \(0.381444\pi\)
\(618\) 25.1021 + 20.3192i 1.00975 + 0.817360i
\(619\) 23.9530 + 26.6025i 0.962751 + 1.06924i 0.997558 + 0.0698494i \(0.0222519\pi\)
−0.0348064 + 0.999394i \(0.511081\pi\)
\(620\) −10.2357 53.6603i −0.411075 2.15505i
\(621\) −14.0833 36.6251i −0.565145 1.46971i
\(622\) −11.5737 35.6202i −0.464063 1.42824i
\(623\) 17.6881 7.87524i 0.708658 0.315515i
\(624\) −0.523616 0.423849i −0.0209614 0.0169675i
\(625\) −23.9327 7.22678i −0.957308 0.289071i
\(626\) 9.94640 + 17.2277i 0.397538 + 0.688556i
\(627\) −16.4128 4.39440i −0.655463 0.175496i
\(628\) 1.15194 + 0.244851i 0.0459672 + 0.00977063i
\(629\) −4.25648 13.1001i −0.169717 0.522336i
\(630\) 3.59083 28.5103i 0.143062 1.13588i
\(631\) −5.23845 + 16.1223i −0.208539 + 0.641818i 0.791010 + 0.611803i \(0.209555\pi\)
−0.999549 + 0.0300148i \(0.990445\pi\)
\(632\) 11.2037 19.4054i 0.445661 0.771907i
\(633\) 1.27498 + 0.649326i 0.0506760 + 0.0258084i
\(634\) −40.4374 18.0039i −1.60597 0.715026i
\(635\) 25.2837 2.12287i 1.00335 0.0842436i
\(636\) −10.0034 + 10.0072i −0.396660 + 0.396813i
\(637\) −0.133430 1.26950i −0.00528668 0.0502994i
\(638\) 26.3652 19.1554i 1.04381 0.758371i
\(639\) 16.5795 37.2769i 0.655876 1.47465i
\(640\) 39.3587 21.6371i 1.55579 0.855281i
\(641\) 1.42670 + 13.5742i 0.0563514 + 0.536148i 0.985887 + 0.167415i \(0.0535418\pi\)
−0.929535 + 0.368733i \(0.879792\pi\)
\(642\) 2.75811 + 52.4346i 0.108854 + 2.06943i
\(643\) 7.28773 + 12.6227i 0.287400 + 0.497792i 0.973188 0.230009i \(-0.0738757\pi\)
−0.685788 + 0.727801i \(0.740542\pi\)
\(644\) 46.9646 9.98264i 1.85066 0.393371i
\(645\) 30.1786 + 5.42431i 1.18828 + 0.213582i
\(646\) −30.8441 6.55612i −1.21355 0.257947i
\(647\) 5.64337 + 17.3685i 0.221864 + 0.682826i 0.998595 + 0.0529938i \(0.0168763\pi\)
−0.776731 + 0.629832i \(0.783124\pi\)
\(648\) −30.3195 6.42019i −1.19106 0.252209i
\(649\) 11.1396 0.437266
\(650\) 0.598171 4.05023i 0.0234622 0.158863i
\(651\) 17.3464 + 14.0413i 0.679857 + 0.550321i
\(652\) 6.71850 63.9223i 0.263117 2.50339i
\(653\) −2.34266 + 2.60179i −0.0916755 + 0.101816i −0.787237 0.616651i \(-0.788489\pi\)
0.695561 + 0.718467i \(0.255156\pi\)
\(654\) −12.9657 16.0050i −0.506999 0.625846i
\(655\) −6.35600 + 8.37355i −0.248350 + 0.327182i
\(656\) −0.937841 + 2.88638i −0.0366165 + 0.112694i
\(657\) 8.07665 + 37.9258i 0.315100 + 1.47963i
\(658\) −14.8796 + 45.7947i −0.580068 + 1.78527i
\(659\) −3.96337 37.7090i −0.154391 1.46893i −0.747742 0.663989i \(-0.768862\pi\)
0.593351 0.804944i \(-0.297804\pi\)
\(660\) 25.7984 0.815454i 1.00420 0.0317415i
\(661\) −4.01695 + 38.2188i −0.156241 + 1.48654i 0.582656 + 0.812719i \(0.302014\pi\)
−0.738897 + 0.673818i \(0.764653\pi\)
\(662\) 9.99628 + 4.45063i 0.388516 + 0.172979i
\(663\) 0.726278 + 1.42472i 0.0282063 + 0.0553316i
\(664\) 29.4601 13.1165i 1.14327 0.509017i
\(665\) −20.7617 2.62303i −0.805105 0.101717i
\(666\) −34.8502 + 11.3384i −1.35042 + 0.439353i
\(667\) 16.9374 52.1278i 0.655817 2.01840i
\(668\) −17.2363 + 29.8541i −0.666892 + 1.15509i
\(669\) −0.445213 8.46397i −0.0172129 0.327236i
\(670\) 5.67760 24.2054i 0.219345 0.935137i
\(671\) 10.5184 11.6818i 0.406057 0.450972i
\(672\) −4.87136 + 12.6976i −0.187917 + 0.489822i
\(673\) −3.09220 + 1.37674i −0.119196 + 0.0530693i −0.465468 0.885065i \(-0.654114\pi\)
0.346272 + 0.938134i \(0.387447\pi\)
\(674\) 58.3603 2.24795
\(675\) −8.30052 24.6191i −0.319487 0.947591i
\(676\) −44.7115 −1.71967
\(677\) −37.2359 + 16.5785i −1.43109 + 0.637162i −0.968410 0.249363i \(-0.919779\pi\)
−0.462680 + 0.886525i \(0.653112\pi\)
\(678\) 19.3980 50.5625i 0.744974 1.94184i
\(679\) −16.8782 + 18.7451i −0.647726 + 0.719372i
\(680\) 20.2384 1.69925i 0.776106 0.0651634i
\(681\) −1.52237 28.9418i −0.0583372 1.10905i
\(682\) −15.7965 + 27.3604i −0.604880 + 1.04768i
\(683\) 8.88733 27.3524i 0.340064 1.04661i −0.624109 0.781337i \(-0.714538\pi\)
0.964173 0.265273i \(-0.0854622\pi\)
\(684\) −11.0479 + 52.0751i −0.422428 + 1.99114i
\(685\) −16.1528 15.1688i −0.617167 0.579570i
\(686\) 41.6637 18.5499i 1.59073 0.708237i
\(687\) 2.90974 + 5.70798i 0.111014 + 0.217773i
\(688\) 8.03620 + 3.57795i 0.306377 + 0.136408i
\(689\) 0.0860895 0.819087i 0.00327975 0.0312047i
\(690\) 54.0522 41.9430i 2.05773 1.59674i
\(691\) 0.128443 + 1.22205i 0.00488620 + 0.0464891i 0.996693 0.0812554i \(-0.0258929\pi\)
−0.991807 + 0.127744i \(0.959226\pi\)
\(692\) 10.1418 31.2131i 0.385532 1.18655i
\(693\) −7.83351 + 7.05879i −0.297570 + 0.268141i
\(694\) −24.0563 + 74.0377i −0.913165 + 2.81043i
\(695\) −11.8566 17.0598i −0.449747 0.647115i
\(696\) −27.2497 33.6373i −1.03290 1.27502i
\(697\) 4.82067 5.35389i 0.182596 0.202793i
\(698\) 2.87837 27.3858i 0.108948 1.03657i
\(699\) 0.377688 + 0.305725i 0.0142855 + 0.0115636i
\(700\) 31.3453 5.30099i 1.18474 0.200359i
\(701\) 1.48967 0.0562639 0.0281319 0.999604i \(-0.491044\pi\)
0.0281319 + 0.999604i \(0.491044\pi\)
\(702\) 3.78992 1.93382i 0.143041 0.0729873i
\(703\) 8.24744 + 25.3830i 0.311058 + 0.957338i
\(704\) −23.0043 4.88971i −0.867007 0.184288i
\(705\) 5.91629 + 43.1315i 0.222820 + 1.62443i
\(706\) 18.9992 4.03841i 0.715045 0.151987i
\(707\) 5.61554 + 9.72640i 0.211194 + 0.365799i
\(708\) −1.83331 34.8531i −0.0688999 1.30986i
\(709\) 0.602510 + 5.73250i 0.0226277 + 0.215289i 0.999993 + 0.00372988i \(0.00118726\pi\)
−0.977365 + 0.211559i \(0.932146\pi\)
\(710\) 70.5726 + 8.91613i 2.64854 + 0.334616i
\(711\) 11.4805 + 15.7887i 0.430551 + 0.592123i
\(712\) 29.4561 21.4011i 1.10391 0.802040i
\(713\) 5.55413 + 52.8440i 0.208004 + 1.97902i
\(714\) −13.8352 + 13.8406i −0.517771 + 0.517971i
\(715\) −1.13730 + 0.981673i −0.0425327 + 0.0367125i
\(716\) −27.0452 12.0413i −1.01073 0.450004i
\(717\) −29.1153 14.8279i −1.08733 0.553760i
\(718\) 26.9133 46.6153i 1.00440 1.73967i
\(719\) 13.2328 40.7262i 0.493498 1.51883i −0.325786 0.945444i \(-0.605629\pi\)
0.819284 0.573388i \(-0.194371\pi\)
\(720\) −0.626490 7.42727i −0.0233479 0.276798i
\(721\) −4.51047 13.8818i −0.167979 0.516985i
\(722\) 16.2897 + 3.46249i 0.606240 + 0.128860i
\(723\) 25.4794 + 6.82192i 0.947589 + 0.253710i
\(724\) −5.58952 9.68134i −0.207733 0.359804i
\(725\) 12.6505 34.0141i 0.469829 1.26325i
\(726\) 23.0391 + 18.6493i 0.855060 + 0.692141i
\(727\) −4.04978 + 1.80308i −0.150198 + 0.0668726i −0.480459 0.877017i \(-0.659530\pi\)
0.330261 + 0.943890i \(0.392863\pi\)
\(728\) 0.682091 + 2.09926i 0.0252800 + 0.0778038i
\(729\) 15.8449 21.8618i 0.586850 0.809696i
\(730\) −59.2467 + 32.5704i −2.19282 + 1.20548i
\(731\) −13.9727 15.5183i −0.516800 0.573965i
\(732\) −38.2808 30.9870i −1.41490 1.14531i
\(733\) −10.5947 + 2.25196i −0.391323 + 0.0831782i −0.399371 0.916789i \(-0.630771\pi\)
0.00804825 + 0.999968i \(0.497438\pi\)
\(734\) −75.4126 33.5758i −2.78353 1.23931i
\(735\) 9.11420 10.7892i 0.336182 0.397965i
\(736\) −29.5810 + 13.1703i −1.09037 + 0.485464i
\(737\) −7.38099 + 5.36261i −0.271882 + 0.197534i
\(738\) −14.2497 12.8205i −0.524538 0.471930i
\(739\) −5.09046 3.69843i −0.187256 0.136049i 0.490208 0.871605i \(-0.336921\pi\)
−0.677463 + 0.735556i \(0.736921\pi\)
\(740\) −23.1388 33.2931i −0.850600 1.22388i
\(741\) −1.40725 2.76057i −0.0516966 0.101412i
\(742\) 9.85856 2.09550i 0.361919 0.0769283i
\(743\) 2.22447 + 3.85289i 0.0816077 + 0.141349i 0.903941 0.427658i \(-0.140661\pi\)
−0.822333 + 0.569007i \(0.807328\pi\)
\(744\) 37.3963 + 19.0453i 1.37101 + 0.698234i
\(745\) −28.6118 9.96401i −1.04825 0.365053i
\(746\) −14.2694 43.9166i −0.522438 1.60790i
\(747\) 0.0108228 + 28.0945i 0.000395987 + 1.02792i
\(748\) −14.2211 10.3322i −0.519975 0.377784i
\(749\) 11.8656 20.5518i 0.433559 0.750946i
\(750\) 36.9205 26.2470i 1.34814 0.958405i
\(751\) −7.46181 12.9242i −0.272285 0.471612i 0.697161 0.716914i \(-0.254446\pi\)
−0.969447 + 0.245302i \(0.921113\pi\)
\(752\) −1.30555 + 12.4215i −0.0476085 + 0.452965i
\(753\) −5.08568 + 13.2563i −0.185332 + 0.483086i
\(754\) 5.81328 + 1.23565i 0.211707 + 0.0449998i
\(755\) −0.770514 4.03940i −0.0280419 0.147009i
\(756\) 23.3745 + 23.3475i 0.850123 + 0.849142i
\(757\) −7.36085 −0.267535 −0.133767 0.991013i \(-0.542707\pi\)
−0.133767 + 0.991013i \(0.542707\pi\)
\(758\) 16.3985 + 18.2124i 0.595622 + 0.661505i
\(759\) −25.0718 1.30912i −0.910049 0.0475179i
\(760\) −39.2142 + 3.29250i −1.42245 + 0.119432i
\(761\) 4.50351 42.8480i 0.163252 1.55324i −0.539611 0.841914i \(-0.681429\pi\)
0.702863 0.711325i \(-0.251905\pi\)
\(762\) −25.0322 + 38.5624i −0.906819 + 1.39697i
\(763\) 0.973097 + 9.25840i 0.0352285 + 0.335177i
\(764\) 25.2574 + 18.3506i 0.913780 + 0.663900i
\(765\) −5.81260 + 16.7117i −0.210155 + 0.604212i
\(766\) 23.9593 17.4075i 0.865686 0.628957i
\(767\) 1.35932 + 1.50968i 0.0490823 + 0.0545114i
\(768\) −6.08393 + 38.4604i −0.219535 + 1.38782i
\(769\) 24.6957 5.24924i 0.890550 0.189292i 0.260155 0.965567i \(-0.416226\pi\)
0.630395 + 0.776274i \(0.282893\pi\)
\(770\) −15.7261 9.52429i −0.566730 0.343232i
\(771\) −27.7056 + 4.39361i −0.997794