Properties

Label 354.3.h.a.5.17
Level 354
Weight 3
Character 354.5
Analytic conductor 9.646
Analytic rank 0
Dimension 1120
CM no
Inner twists 4

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) = \( 354 = 2 \cdot 3 \cdot 59 \)
Weight: \( k \) = \( 3 \)
Character orbit: \([\chi]\) = 354.h (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.64580135835\)
Analytic rank: \(0\)
Dimension: \(1120\)
Relative dimension: \(40\) over \(\Q(\zeta_{58})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 5.17
Character \(\chi\) = 354.5
Dual form 354.3.h.a.71.17

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.451561 + 1.34018i) q^{2} +(2.75259 + 1.19300i) q^{3} +(-1.59219 - 1.21035i) q^{4} +(7.91048 + 3.15182i) q^{5} +(-2.84180 + 3.15027i) q^{6} +(-1.21658 + 0.562850i) q^{7} +(2.34106 - 1.58728i) q^{8} +(6.15350 + 6.56768i) q^{9} +O(q^{10})\) \(q+(-0.451561 + 1.34018i) q^{2} +(2.75259 + 1.19300i) q^{3} +(-1.59219 - 1.21035i) q^{4} +(7.91048 + 3.15182i) q^{5} +(-2.84180 + 3.15027i) q^{6} +(-1.21658 + 0.562850i) q^{7} +(2.34106 - 1.58728i) q^{8} +(6.15350 + 6.56768i) q^{9} +(-7.79609 + 9.17826i) q^{10} +(-7.84262 - 2.17749i) q^{11} +(-2.93869 - 5.23107i) q^{12} +(-11.2647 + 21.2475i) q^{13} +(-0.204963 - 1.88460i) q^{14} +(18.0142 + 18.1129i) q^{15} +(1.07011 + 3.85420i) q^{16} +(10.7892 - 23.3205i) q^{17} +(-11.5806 + 5.28112i) q^{18} +(19.4801 - 4.28789i) q^{19} +(-8.78015 - 14.5927i) q^{20} +(-4.02023 + 0.0979154i) q^{21} +(6.45966 - 9.52728i) q^{22} +(1.45536 + 0.238594i) q^{23} +(8.33759 - 1.57624i) q^{24} +(34.4918 + 32.6724i) q^{25} +(-23.3889 - 24.6913i) q^{26} +(9.10283 + 25.4193i) q^{27} +(2.61827 + 0.576324i) q^{28} +(1.33519 + 3.96270i) q^{29} +(-32.4091 + 15.9633i) q^{30} +(-39.1142 - 8.60968i) q^{31} +(-5.64856 - 0.306256i) q^{32} +(-18.9898 - 15.3500i) q^{33} +(26.3817 + 24.9901i) q^{34} +(-11.3977 + 0.617968i) q^{35} +(-1.84834 - 17.9048i) q^{36} +(2.99323 - 4.41468i) q^{37} +(-3.04987 + 28.0431i) q^{38} +(-56.3554 + 45.0469i) q^{39} +(23.5217 - 5.17752i) q^{40} +(61.6482 - 10.1067i) q^{41} +(1.68415 - 5.43206i) q^{42} +(-12.3353 - 44.4278i) q^{43} +(9.85138 + 12.9593i) q^{44} +(27.9770 + 71.3483i) q^{45} +(-0.976942 + 1.84271i) q^{46} +(-13.4703 + 5.36706i) q^{47} +(-1.65248 + 11.8857i) q^{48} +(-30.5587 + 35.9764i) q^{49} +(-59.3622 + 31.4718i) q^{50} +(57.5195 - 51.3201i) q^{51} +(43.6524 - 20.1958i) q^{52} +(-26.9737 + 22.9116i) q^{53} +(-38.1770 + 0.721141i) q^{54} +(-55.1758 - 41.9436i) q^{55} +(-1.95469 + 3.24871i) q^{56} +(58.7361 + 11.4369i) q^{57} -5.91366 q^{58} +(28.2628 - 51.7901i) q^{59} +(-6.75904 - 50.6425i) q^{60} +(-38.9554 - 13.1256i) q^{61} +(29.2010 - 48.5324i) q^{62} +(-11.1829 - 4.52661i) q^{63} +(2.96111 - 7.43181i) q^{64} +(-156.078 + 132.574i) q^{65} +(29.1468 - 18.5183i) q^{66} +(7.84598 + 11.5720i) q^{67} +(-45.4043 + 24.0718i) q^{68} +(3.72136 + 2.39299i) q^{69} +(4.31858 - 15.5541i) q^{70} +(-48.5988 + 19.3635i) q^{71} +(24.8304 + 5.60800i) q^{72} +(60.2504 - 6.55263i) q^{73} +(4.56486 + 6.00497i) q^{74} +(55.9637 + 131.082i) q^{75} +(-36.2058 - 16.7506i) q^{76} +(10.7668 - 1.76512i) q^{77} +(-34.9232 - 95.8681i) q^{78} +(35.8146 - 21.5489i) q^{79} +(-3.68265 + 33.8614i) q^{80} +(-5.26879 + 80.8285i) q^{81} +(-14.2931 + 87.1838i) q^{82} +(-33.1821 + 1.79908i) q^{83} +(6.51946 + 4.70998i) q^{84} +(158.850 - 150.470i) q^{85} +(65.1116 + 3.53025i) q^{86} +(-1.05227 + 12.5006i) q^{87} +(-21.8163 + 7.35077i) q^{88} +(-33.8017 - 100.320i) q^{89} +(-108.253 + 5.27629i) q^{90} +(1.74527 - 32.1897i) q^{91} +(-2.02842 - 2.14138i) q^{92} +(-97.3939 - 70.3621i) q^{93} +(-1.11019 - 20.4762i) q^{94} +(167.611 + 27.4785i) q^{95} +(-15.1828 - 7.58172i) q^{96} +(46.1540 + 5.01955i) q^{97} +(-34.4160 - 57.1998i) q^{98} +(-33.9585 - 64.9070i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1120q + 80q^{4} - 8q^{6} - 8q^{7} + 24q^{9} + O(q^{10}) \) \( 1120q + 80q^{4} - 8q^{6} - 8q^{7} + 24q^{9} + 16q^{10} - 34q^{15} - 160q^{16} - 16q^{18} - 24q^{19} + 18q^{21} + 16q^{22} + 16q^{24} + 216q^{25} + 30q^{27} + 16q^{28} + 64q^{30} - 96q^{31} - 76q^{33} - 80q^{34} - 48q^{36} + 200q^{37} + 28q^{39} - 32q^{40} - 48q^{42} + 104q^{43} + 696q^{45} - 32q^{46} - 288q^{49} + 1800q^{51} + 852q^{54} - 360q^{55} + 76q^{57} + 128q^{58} - 280q^{60} + 32q^{61} - 1318q^{63} + 320q^{64} - 1512q^{66} + 344q^{67} - 2640q^{69} - 192q^{70} + 32q^{72} - 40q^{73} - 1014q^{75} + 48q^{76} - 96q^{78} - 32q^{79} - 336q^{81} + 80q^{82} - 36q^{84} - 168q^{85} + 162q^{87} - 32q^{88} - 112q^{90} - 88q^{91} + 316q^{93} + 400q^{94} - 32q^{96} + 184q^{97} + 148q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{3}{29}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.451561 + 1.34018i −0.225780 + 0.670092i
\(3\) 2.75259 + 1.19300i 0.917530 + 0.397667i
\(4\) −1.59219 1.21035i −0.398047 0.302587i
\(5\) 7.91048 + 3.15182i 1.58210 + 0.630365i 0.985116 0.171891i \(-0.0549877\pi\)
0.596980 + 0.802256i \(0.296367\pi\)
\(6\) −2.84180 + 3.15027i −0.473633 + 0.525044i
\(7\) −1.21658 + 0.562850i −0.173797 + 0.0804072i −0.504859 0.863202i \(-0.668455\pi\)
0.331061 + 0.943609i \(0.392593\pi\)
\(8\) 2.34106 1.58728i 0.292632 0.198410i
\(9\) 6.15350 + 6.56768i 0.683723 + 0.729742i
\(10\) −7.79609 + 9.17826i −0.779609 + 0.917826i
\(11\) −7.84262 2.17749i −0.712965 0.197954i −0.107937 0.994158i \(-0.534424\pi\)
−0.605028 + 0.796204i \(0.706838\pi\)
\(12\) −2.93869 5.23107i −0.244891 0.435923i
\(13\) −11.2647 + 21.2475i −0.866517 + 1.63442i −0.0974644 + 0.995239i \(0.531073\pi\)
−0.769053 + 0.639185i \(0.779272\pi\)
\(14\) −0.204963 1.88460i −0.0146402 0.134614i
\(15\) 18.0142 + 18.1129i 1.20095 + 1.20753i
\(16\) 1.07011 + 3.85420i 0.0668821 + 0.240887i
\(17\) 10.7892 23.3205i 0.634658 1.37179i −0.277011 0.960867i \(-0.589344\pi\)
0.911669 0.410925i \(-0.134794\pi\)
\(18\) −11.5806 + 5.28112i −0.643365 + 0.293396i
\(19\) 19.4801 4.28789i 1.02527 0.225678i 0.329659 0.944100i \(-0.393066\pi\)
0.695608 + 0.718422i \(0.255135\pi\)
\(20\) −8.78015 14.5927i −0.439008 0.729636i
\(21\) −4.02023 + 0.0979154i −0.191439 + 0.00466264i
\(22\) 6.45966 9.52728i 0.293621 0.433058i
\(23\) 1.45536 + 0.238594i 0.0632765 + 0.0103737i 0.193337 0.981132i \(-0.438069\pi\)
−0.130061 + 0.991506i \(0.541517\pi\)
\(24\) 8.33759 1.57624i 0.347400 0.0656767i
\(25\) 34.4918 + 32.6724i 1.37967 + 1.30690i
\(26\) −23.3889 24.6913i −0.899572 0.949667i
\(27\) 9.10283 + 25.4193i 0.337142 + 0.941454i
\(28\) 2.61827 + 0.576324i 0.0935095 + 0.0205830i
\(29\) 1.33519 + 3.96270i 0.0460410 + 0.136645i 0.968208 0.250148i \(-0.0804793\pi\)
−0.922167 + 0.386793i \(0.873583\pi\)
\(30\) −32.4091 + 15.9633i −1.08030 + 0.532109i
\(31\) −39.1142 8.60968i −1.26175 0.277732i −0.466774 0.884376i \(-0.654584\pi\)
−0.794973 + 0.606645i \(0.792515\pi\)
\(32\) −5.64856 0.306256i −0.176517 0.00957050i
\(33\) −18.9898 15.3500i −0.575447 0.465151i
\(34\) 26.3817 + 24.9901i 0.775933 + 0.735003i
\(35\) −11.3977 + 0.617968i −0.325650 + 0.0176562i
\(36\) −1.84834 17.9048i −0.0513429 0.497357i
\(37\) 2.99323 4.41468i 0.0808980 0.119316i −0.785087 0.619385i \(-0.787382\pi\)
0.865985 + 0.500070i \(0.166692\pi\)
\(38\) −3.04987 + 28.0431i −0.0802599 + 0.737977i
\(39\) −56.3554 + 45.0469i −1.44501 + 1.15505i
\(40\) 23.5217 5.17752i 0.588043 0.129438i
\(41\) 61.6482 10.1067i 1.50362 0.246505i 0.647012 0.762480i \(-0.276018\pi\)
0.856604 + 0.515975i \(0.172570\pi\)
\(42\) 1.68415 5.43206i 0.0400988 0.129335i
\(43\) −12.3353 44.4278i −0.286868 1.03321i −0.956791 0.290775i \(-0.906087\pi\)
0.669923 0.742430i \(-0.266327\pi\)
\(44\) 9.85138 + 12.9593i 0.223895 + 0.294529i
\(45\) 27.9770 + 71.3483i 0.621711 + 1.58552i
\(46\) −0.976942 + 1.84271i −0.0212379 + 0.0400589i
\(47\) −13.4703 + 5.36706i −0.286602 + 0.114193i −0.509009 0.860761i \(-0.669988\pi\)
0.222407 + 0.974954i \(0.428609\pi\)
\(48\) −1.65248 + 11.8857i −0.0344266 + 0.247618i
\(49\) −30.5587 + 35.9764i −0.623646 + 0.734213i
\(50\) −59.3622 + 31.4718i −1.18724 + 0.629437i
\(51\) 57.5195 51.3201i 1.12783 1.00628i
\(52\) 43.6524 20.1958i 0.839470 0.388380i
\(53\) −26.9737 + 22.9116i −0.508937 + 0.432295i −0.864706 0.502279i \(-0.832495\pi\)
0.355768 + 0.934574i \(0.384219\pi\)
\(54\) −38.1770 + 0.721141i −0.706981 + 0.0133545i
\(55\) −55.1758 41.9436i −1.00320 0.762610i
\(56\) −1.95469 + 3.24871i −0.0349051 + 0.0580128i
\(57\) 58.7361 + 11.4369i 1.03046 + 0.200648i
\(58\) −5.91366 −0.101960
\(59\) 28.2628 51.7901i 0.479030 0.877798i
\(60\) −6.75904 50.6425i −0.112651 0.844042i
\(61\) −38.9554 13.1256i −0.638613 0.215174i −0.0186761 0.999826i \(-0.505945\pi\)
−0.619937 + 0.784652i \(0.712842\pi\)
\(62\) 29.2010 48.5324i 0.470983 0.782781i
\(63\) −11.1829 4.52661i −0.177506 0.0718509i
\(64\) 2.96111 7.43181i 0.0462673 0.116122i
\(65\) −156.078 + 132.574i −2.40120 + 2.03960i
\(66\) 29.1468 18.5183i 0.441619 0.280581i
\(67\) 7.84598 + 11.5720i 0.117104 + 0.172716i 0.881724 0.471766i \(-0.156383\pi\)
−0.764619 + 0.644482i \(0.777073\pi\)
\(68\) −45.4043 + 24.0718i −0.667710 + 0.353997i
\(69\) 3.72136 + 2.39299i 0.0539328 + 0.0346811i
\(70\) 4.31858 15.5541i 0.0616940 0.222202i
\(71\) −48.5988 + 19.3635i −0.684490 + 0.272726i −0.686349 0.727273i \(-0.740788\pi\)
0.00185875 + 0.999998i \(0.499408\pi\)
\(72\) 24.8304 + 5.60800i 0.344867 + 0.0778889i
\(73\) 60.2504 6.55263i 0.825348 0.0897620i 0.314310 0.949320i \(-0.398227\pi\)
0.511038 + 0.859558i \(0.329261\pi\)
\(74\) 4.56486 + 6.00497i 0.0616873 + 0.0811482i
\(75\) 55.9637 + 131.082i 0.746183 + 1.74777i
\(76\) −36.2058 16.7506i −0.476391 0.220402i
\(77\) 10.7668 1.76512i 0.139828 0.0229237i
\(78\) −34.9232 95.8681i −0.447734 1.22908i
\(79\) 35.8146 21.5489i 0.453349 0.272771i −0.270512 0.962716i \(-0.587193\pi\)
0.723861 + 0.689946i \(0.242366\pi\)
\(80\) −3.68265 + 33.8614i −0.0460331 + 0.423267i
\(81\) −5.26879 + 80.8285i −0.0650468 + 0.997882i
\(82\) −14.2931 + 87.1838i −0.174306 + 1.06322i
\(83\) −33.1821 + 1.79908i −0.399785 + 0.0216757i −0.252935 0.967483i \(-0.581396\pi\)
−0.146849 + 0.989159i \(0.546913\pi\)
\(84\) 6.51946 + 4.70998i 0.0776126 + 0.0560711i
\(85\) 158.850 150.470i 1.86882 1.77024i
\(86\) 65.1116 + 3.53025i 0.757112 + 0.0410494i
\(87\) −1.05227 + 12.5006i −0.0120951 + 0.143685i
\(88\) −21.8163 + 7.35077i −0.247913 + 0.0835315i
\(89\) −33.8017 100.320i −0.379794 1.12719i −0.951742 0.306899i \(-0.900709\pi\)
0.571948 0.820290i \(-0.306188\pi\)
\(90\) −108.253 + 5.27629i −1.20281 + 0.0586254i
\(91\) 1.74527 32.1897i 0.0191788 0.353733i
\(92\) −2.02842 2.14138i −0.0220480 0.0232758i
\(93\) −97.3939 70.3621i −1.04725 0.756582i
\(94\) −1.11019 20.4762i −0.0118105 0.217832i
\(95\) 167.611 + 27.4785i 1.76433 + 0.289247i
\(96\) −15.1828 7.58172i −0.158154 0.0789763i
\(97\) 46.1540 + 5.01955i 0.475815 + 0.0517480i 0.342885 0.939377i \(-0.388596\pi\)
0.132930 + 0.991125i \(0.457561\pi\)
\(98\) −34.4160 57.1998i −0.351183 0.583671i
\(99\) −33.9585 64.9070i −0.343015 0.655626i
\(100\) −15.3724 93.7677i −0.153724 0.937677i
\(101\) 69.3467 149.890i 0.686601 1.48406i −0.179272 0.983800i \(-0.557374\pi\)
0.865873 0.500264i \(-0.166764\pi\)
\(102\) 42.8049 + 100.261i 0.419656 + 0.982950i
\(103\) 123.870 94.1634i 1.20262 0.914208i 0.204709 0.978823i \(-0.434375\pi\)
0.997910 + 0.0646151i \(0.0205820\pi\)
\(104\) 7.35433 + 67.6219i 0.0707147 + 0.650211i
\(105\) −32.1105 11.8965i −0.305815 0.113300i
\(106\) −18.5256 46.4957i −0.174770 0.438638i
\(107\) −36.6904 10.1870i −0.342901 0.0952060i 0.0918086 0.995777i \(-0.470735\pi\)
−0.434710 + 0.900571i \(0.643149\pi\)
\(108\) 16.2727 51.4898i 0.150674 0.476757i
\(109\) 40.0488 + 75.5401i 0.367421 + 0.693029i 0.996435 0.0843650i \(-0.0268862\pi\)
−0.629014 + 0.777394i \(0.716541\pi\)
\(110\) 81.1273 55.0057i 0.737521 0.500052i
\(111\) 13.5058 8.58088i 0.121674 0.0773052i
\(112\) −3.47122 4.08663i −0.0309930 0.0364878i
\(113\) 18.2422 + 7.26836i 0.161435 + 0.0643217i 0.449456 0.893302i \(-0.351618\pi\)
−0.288021 + 0.957624i \(0.592997\pi\)
\(114\) −41.8505 + 73.5527i −0.367110 + 0.645200i
\(115\) 10.7606 + 6.47443i 0.0935703 + 0.0562994i
\(116\) 2.67038 7.92540i 0.0230205 0.0683224i
\(117\) −208.864 + 56.7636i −1.78517 + 0.485159i
\(118\) 56.6459 + 61.2637i 0.480050 + 0.519184i
\(119\) 34.4439i 0.289445i
\(120\) 70.9224 + 13.8098i 0.591020 + 0.115082i
\(121\) −46.9146 28.2276i −0.387724 0.233286i
\(122\) 35.1814 46.2804i 0.288372 0.379347i
\(123\) 181.750 + 45.7267i 1.47764 + 0.371762i
\(124\) 51.8563 + 61.0500i 0.418196 + 0.492339i
\(125\) 80.4827 + 173.961i 0.643862 + 1.39168i
\(126\) 11.1162 12.9430i 0.0882240 0.102723i
\(127\) −103.587 195.386i −0.815647 1.53847i −0.842414 0.538831i \(-0.818866\pi\)
0.0267672 0.999642i \(-0.491479\pi\)
\(128\) 8.62288 + 7.32434i 0.0673662 + 0.0572214i
\(129\) 19.0483 137.008i 0.147661 1.06207i
\(130\) −107.195 269.038i −0.824573 2.06952i
\(131\) 191.035 + 101.280i 1.45828 + 0.773132i 0.993665 0.112381i \(-0.0358477\pi\)
0.464616 + 0.885512i \(0.346192\pi\)
\(132\) 11.6564 + 47.4243i 0.0883061 + 0.359275i
\(133\) −21.2856 + 16.1809i −0.160042 + 0.121661i
\(134\) −19.0515 + 5.28962i −0.142175 + 0.0394748i
\(135\) −8.10920 + 229.769i −0.0600682 + 1.70199i
\(136\) −11.7579 71.7200i −0.0864551 0.527353i
\(137\) 5.92090 + 26.8989i 0.0432183 + 0.196343i 0.993283 0.115710i \(-0.0369144\pi\)
−0.950065 + 0.312053i \(0.898983\pi\)
\(138\) −4.88747 + 3.90673i −0.0354165 + 0.0283096i
\(139\) 143.973 + 15.6580i 1.03577 + 0.112647i 0.610177 0.792265i \(-0.291098\pi\)
0.425597 + 0.904913i \(0.360064\pi\)
\(140\) 18.8953 + 12.8113i 0.134966 + 0.0915094i
\(141\) −43.4811 1.29675i −0.308377 0.00919684i
\(142\) −4.00539 73.8751i −0.0282070 0.520247i
\(143\) 134.611 142.107i 0.941337 0.993757i
\(144\) −18.7282 + 30.7450i −0.130057 + 0.213507i
\(145\) −1.92774 + 35.5551i −0.0132948 + 0.245208i
\(146\) −18.4250 + 83.7056i −0.126199 + 0.573326i
\(147\) −127.035 + 62.5719i −0.864186 + 0.425659i
\(148\) −10.1091 + 3.40614i −0.0683045 + 0.0230145i
\(149\) 28.6653 130.228i 0.192385 0.874013i −0.777199 0.629255i \(-0.783360\pi\)
0.969584 0.244759i \(-0.0787087\pi\)
\(150\) −200.946 + 15.8100i −1.33964 + 0.105400i
\(151\) 34.4604 32.6426i 0.228214 0.216176i −0.565045 0.825060i \(-0.691141\pi\)
0.793259 + 0.608884i \(0.208383\pi\)
\(152\) 38.7979 40.9585i 0.255250 0.269464i
\(153\) 219.553 72.6426i 1.43498 0.474788i
\(154\) −2.49626 + 15.2265i −0.0162095 + 0.0988735i
\(155\) −282.276 191.388i −1.82113 1.23476i
\(156\) 144.251 3.51333i 0.924685 0.0225213i
\(157\) −135.231 + 81.3660i −0.861346 + 0.518255i −0.876373 0.481632i \(-0.840044\pi\)
0.0150270 + 0.999887i \(0.495217\pi\)
\(158\) 12.7071 + 57.7287i 0.0804244 + 0.365372i
\(159\) −101.581 + 30.8868i −0.638874 + 0.194256i
\(160\) −43.7176 20.2259i −0.273235 0.126412i
\(161\) −1.90485 + 0.528880i −0.0118314 + 0.00328497i
\(162\) −105.946 43.5601i −0.653987 0.268889i
\(163\) 129.551 14.0895i 0.794792 0.0864389i 0.298291 0.954475i \(-0.403583\pi\)
0.496501 + 0.868036i \(0.334618\pi\)
\(164\) −110.388 58.5241i −0.673098 0.356854i
\(165\) −101.838 181.278i −0.617198 1.09866i
\(166\) 12.5726 45.2826i 0.0757388 0.272787i
\(167\) −215.282 182.862i −1.28911 1.09498i −0.990045 0.140749i \(-0.955049\pi\)
−0.299067 0.954232i \(-0.596675\pi\)
\(168\) −9.25617 + 6.61044i −0.0550962 + 0.0393478i
\(169\) −229.722 338.815i −1.35930 2.00482i
\(170\) 129.928 + 280.834i 0.764281 + 1.65197i
\(171\) 148.032 + 101.553i 0.865685 + 0.593879i
\(172\) −34.1330 + 85.6674i −0.198448 + 0.498066i
\(173\) −76.1666 + 100.195i −0.440269 + 0.579164i −0.961691 0.274135i \(-0.911609\pi\)
0.521422 + 0.853299i \(0.325402\pi\)
\(174\) −16.2779 7.05500i −0.0935511 0.0405460i
\(175\) −60.3518 20.3349i −0.344867 0.116199i
\(176\) 32.5572i 0.184984i
\(177\) 139.581 108.839i 0.788596 0.614912i
\(178\) 149.710 0.841070
\(179\) 72.2592 214.458i 0.403683 1.19809i −0.532456 0.846458i \(-0.678731\pi\)
0.936139 0.351630i \(-0.114373\pi\)
\(180\) 41.8116 147.462i 0.232287 0.819231i
\(181\) 31.6045 + 24.0251i 0.174611 + 0.132736i 0.688829 0.724924i \(-0.258125\pi\)
−0.514219 + 0.857659i \(0.671918\pi\)
\(182\) 42.3520 + 16.8746i 0.232703 + 0.0927174i
\(183\) −91.5693 82.6031i −0.500379 0.451383i
\(184\) 3.78579 1.75149i 0.0205750 0.00951899i
\(185\) 37.5922 25.4881i 0.203201 0.137774i
\(186\) 138.277 98.7530i 0.743427 0.530930i
\(187\) −135.396 + 159.400i −0.724040 + 0.852406i
\(188\) 27.9433 + 7.75841i 0.148634 + 0.0412681i
\(189\) −25.3816 25.8010i −0.134294 0.136513i
\(190\) −112.513 + 212.222i −0.592174 + 1.11696i
\(191\) −17.0448 156.724i −0.0892397 0.820545i −0.950151 0.311790i \(-0.899071\pi\)
0.860911 0.508755i \(-0.169894\pi\)
\(192\) 17.0169 16.9241i 0.0886295 0.0881466i
\(193\) 99.4960 + 358.352i 0.515524 + 1.85675i 0.515735 + 0.856748i \(0.327519\pi\)
−0.000211882 1.00000i \(0.500067\pi\)
\(194\) −27.5685 + 59.5883i −0.142105 + 0.307156i
\(195\) −587.779 + 178.720i −3.01425 + 0.916514i
\(196\) 92.1991 20.2946i 0.470404 0.103544i
\(197\) 31.1469 + 51.7666i 0.158106 + 0.262775i 0.925777 0.378070i \(-0.123412\pi\)
−0.767671 + 0.640844i \(0.778584\pi\)
\(198\) 102.322 16.2012i 0.516776 0.0818243i
\(199\) −97.2455 + 143.426i −0.488671 + 0.720736i −0.989456 0.144836i \(-0.953735\pi\)
0.500785 + 0.865572i \(0.333045\pi\)
\(200\) 132.608 + 21.7399i 0.663038 + 0.108700i
\(201\) 7.79143 + 41.2131i 0.0387633 + 0.205040i
\(202\) 169.567 + 160.622i 0.839438 + 0.795158i
\(203\) −3.85477 4.06943i −0.0189890 0.0200465i
\(204\) −153.697 + 12.0926i −0.753417 + 0.0592773i
\(205\) 519.522 + 114.355i 2.53425 + 0.557831i
\(206\) 70.2615 + 208.529i 0.341075 + 1.01228i
\(207\) 7.38855 + 11.0265i 0.0356935 + 0.0532682i
\(208\) −93.9467 20.6792i −0.451667 0.0994194i
\(209\) −162.112 8.78944i −0.775654 0.0420547i
\(210\) 30.4433 37.6621i 0.144968 0.179343i
\(211\) 86.7156 + 82.1414i 0.410974 + 0.389296i 0.865065 0.501660i \(-0.167277\pi\)
−0.454091 + 0.890956i \(0.650036\pi\)
\(212\) 70.6782 3.83206i 0.333388 0.0180757i
\(213\) −156.873 4.67849i −0.736494 0.0219647i
\(214\) 30.2204 44.5718i 0.141217 0.208280i
\(215\) 42.4503 390.324i 0.197443 1.81546i
\(216\) 61.6577 + 45.0592i 0.285452 + 0.208608i
\(217\) 52.4315 11.5410i 0.241620 0.0531845i
\(218\) −119.322 + 19.5619i −0.547349 + 0.0897334i
\(219\) 173.662 + 53.8420i 0.792977 + 0.245854i
\(220\) 37.0838 + 133.564i 0.168563 + 0.607109i
\(221\) 373.965 + 491.942i 1.69215 + 2.22598i
\(222\) 5.40126 + 21.9751i 0.0243300 + 0.0989869i
\(223\) −0.284818 + 0.537224i −0.00127721 + 0.00240908i −0.884150 0.467203i \(-0.845262\pi\)
0.882873 + 0.469613i \(0.155606\pi\)
\(224\) 7.04430 2.80671i 0.0314478 0.0125299i
\(225\) −2.33618 + 427.581i −0.0103830 + 1.90036i
\(226\) −17.9784 + 21.1658i −0.0795504 + 0.0936540i
\(227\) −315.254 + 167.137i −1.38879 + 0.736288i −0.984007 0.178127i \(-0.942996\pi\)
−0.404778 + 0.914415i \(0.632651\pi\)
\(228\) −79.6762 89.3009i −0.349457 0.391671i
\(229\) −366.526 + 169.573i −1.60055 + 0.740493i −0.998326 0.0578351i \(-0.981580\pi\)
−0.602223 + 0.798328i \(0.705718\pi\)
\(230\) −13.5360 + 11.4976i −0.0588521 + 0.0499894i
\(231\) 31.7423 + 7.98610i 0.137413 + 0.0345719i
\(232\) 9.41565 + 7.15759i 0.0405847 + 0.0308517i
\(233\) −154.432 + 256.667i −0.662797 + 1.10158i 0.324983 + 0.945720i \(0.394642\pi\)
−0.987780 + 0.155857i \(0.950186\pi\)
\(234\) 18.2412 305.549i 0.0779539 1.30576i
\(235\) −123.473 −0.525416
\(236\) −107.684 + 48.2517i −0.456287 + 0.204456i
\(237\) 124.291 16.5885i 0.524433 0.0699939i
\(238\) −46.1612 15.5535i −0.193954 0.0653509i
\(239\) −159.902 + 265.759i −0.669045 + 1.11196i 0.317467 + 0.948269i \(0.397168\pi\)
−0.986512 + 0.163692i \(0.947660\pi\)
\(240\) −50.5334 + 88.8131i −0.210556 + 0.370055i
\(241\) 129.884 325.983i 0.538936 1.35263i −0.367398 0.930064i \(-0.619751\pi\)
0.906334 0.422563i \(-0.138869\pi\)
\(242\) 59.0149 50.1277i 0.243863 0.207139i
\(243\) −110.931 + 216.202i −0.456507 + 0.889720i
\(244\) 46.1377 + 68.0480i 0.189089 + 0.278885i
\(245\) −355.125 + 188.275i −1.44949 + 0.768471i
\(246\) −143.353 + 222.930i −0.582736 + 0.906218i
\(247\) −128.331 + 462.205i −0.519557 + 1.87128i
\(248\) −105.234 + 41.9293i −0.424333 + 0.169070i
\(249\) −93.4831 34.6341i −0.375434 0.139093i
\(250\) −269.482 + 29.3079i −1.07793 + 0.117232i
\(251\) −271.292 356.878i −1.08084 1.42182i −0.898706 0.438551i \(-0.855492\pi\)
−0.182137 0.983273i \(-0.558301\pi\)
\(252\) 12.3264 + 20.7423i 0.0489143 + 0.0823109i
\(253\) −10.8943 5.04023i −0.0430604 0.0199219i
\(254\) 308.629 50.5972i 1.21508 0.199201i
\(255\) 616.759 224.676i 2.41866 0.881081i
\(256\) −13.7097 + 8.24886i −0.0535536 + 0.0322221i
\(257\) −18.1237 + 166.645i −0.0705203 + 0.648424i 0.904525 + 0.426420i \(0.140225\pi\)
−0.975046 + 0.222004i \(0.928740\pi\)
\(258\) 175.014 + 87.3955i 0.678349 + 0.338742i
\(259\) −1.15670 + 7.05555i −0.00446602 + 0.0272415i
\(260\) 408.965 22.1735i 1.57294 0.0852825i
\(261\) −17.8096 + 33.1536i −0.0682362 + 0.127025i
\(262\) −221.998 + 210.288i −0.847320 + 0.802624i
\(263\) 288.160 + 15.6236i 1.09567 + 0.0594053i 0.593097 0.805131i \(-0.297905\pi\)
0.502570 + 0.864537i \(0.332388\pi\)
\(264\) −68.8208 5.79319i −0.260685 0.0219439i
\(265\) −285.588 + 96.2259i −1.07769 + 0.363116i
\(266\) −12.0737 35.8333i −0.0453897 0.134712i
\(267\) 26.6393 316.465i 0.0997727 1.18526i
\(268\) 1.51384 27.9211i 0.00564865 0.104183i
\(269\) 174.514 + 184.232i 0.648751 + 0.684878i 0.964536 0.263953i \(-0.0850262\pi\)
−0.315784 + 0.948831i \(0.602268\pi\)
\(270\) −304.271 114.622i −1.12693 0.424528i
\(271\) −26.7723 493.786i −0.0987907 1.82209i −0.458135 0.888883i \(-0.651482\pi\)
0.359344 0.933205i \(-0.383000\pi\)
\(272\) 101.427 + 16.6282i 0.372895 + 0.0611330i
\(273\) 43.2063 86.5228i 0.158265 0.316933i
\(274\) −38.7232 4.21140i −0.141325 0.0153701i
\(275\) −199.362 331.343i −0.724954 1.20488i
\(276\) −3.02875 8.31424i −0.0109737 0.0301241i
\(277\) 78.3252 + 477.762i 0.282762 + 1.72477i 0.621084 + 0.783744i \(0.286692\pi\)
−0.338322 + 0.941030i \(0.609859\pi\)
\(278\) −85.9969 + 185.879i −0.309341 + 0.668630i
\(279\) −184.144 309.869i −0.660013 1.11064i
\(280\) −25.7019 + 19.5381i −0.0917925 + 0.0697788i
\(281\) −40.9646 376.663i −0.145782 1.34044i −0.807136 0.590366i \(-0.798984\pi\)
0.661354 0.750074i \(-0.269982\pi\)
\(282\) 21.3723 57.6872i 0.0757882 0.204564i
\(283\) 118.798 + 298.161i 0.419782 + 1.05357i 0.975066 + 0.221913i \(0.0712301\pi\)
−0.555284 + 0.831660i \(0.687391\pi\)
\(284\) 100.815 + 27.9911i 0.354982 + 0.0985603i
\(285\) 428.584 + 275.598i 1.50380 + 0.967009i
\(286\) 129.665 + 244.574i 0.453374 + 0.855153i
\(287\) −69.3115 + 46.9944i −0.241503 + 0.163743i
\(288\) −32.7470 38.9825i −0.113705 0.135356i
\(289\) −240.342 282.953i −0.831634 0.979075i
\(290\) −46.7799 18.6388i −0.161310 0.0642718i
\(291\) 121.055 + 68.8785i 0.415996 + 0.236696i
\(292\) −103.861 62.4910i −0.355688 0.214010i
\(293\) 39.6872 117.787i 0.135451 0.402004i −0.858366 0.513039i \(-0.828520\pi\)
0.993817 + 0.111034i \(0.0354163\pi\)
\(294\) −26.4937 198.506i −0.0901147 0.675190i
\(295\) 386.806 320.605i 1.31121 1.08680i
\(296\) 15.0861i 0.0509665i
\(297\) −16.0398 219.175i −0.0540062 0.737962i
\(298\) 161.585 + 97.2227i 0.542233 + 0.326251i
\(299\) −21.4637 + 28.2351i −0.0717851 + 0.0944317i
\(300\) 69.5508 276.443i 0.231836 0.921478i
\(301\) 40.0131 + 47.1071i 0.132934 + 0.156502i
\(302\) 28.1861 + 60.9233i 0.0933316 + 0.201733i
\(303\) 369.702 329.856i 1.22014 1.08863i
\(304\) 37.3723 + 70.4916i 0.122935 + 0.231880i
\(305\) −266.786 226.610i −0.874709 0.742984i
\(306\) −1.78687 + 327.043i −0.00583945 + 1.06877i
\(307\) −53.6911 134.755i −0.174890 0.438940i 0.815235 0.579130i \(-0.196608\pi\)
−0.990125 + 0.140190i \(0.955229\pi\)
\(308\) −19.2791 10.2211i −0.0625946 0.0331855i
\(309\) 453.300 111.417i 1.46699 0.360571i
\(310\) 383.959 291.878i 1.23858 0.941543i
\(311\) −381.331 + 105.876i −1.22615 + 0.340438i −0.819463 0.573132i \(-0.805728\pi\)
−0.406682 + 0.913570i \(0.633314\pi\)
\(312\) −60.4295 + 194.909i −0.193684 + 0.624709i
\(313\) −86.1166 525.288i −0.275133 1.67824i −0.656900 0.753978i \(-0.728133\pi\)
0.381767 0.924259i \(-0.375316\pi\)
\(314\) −47.9803 217.977i −0.152803 0.694193i
\(315\) −74.1947 71.0540i −0.235539 0.225568i
\(316\) −83.1051 9.03823i −0.262991 0.0286020i
\(317\) 178.796 + 121.227i 0.564027 + 0.382419i 0.809621 0.586953i \(-0.199673\pi\)
−0.245594 + 0.969373i \(0.578983\pi\)
\(318\) 4.47603 150.085i 0.0140756 0.471964i
\(319\) −1.84263 33.9853i −0.00577627 0.106537i
\(320\) 46.8475 49.4563i 0.146399 0.154551i
\(321\) −88.8405 71.8124i −0.276762 0.223715i
\(322\) 0.151360 2.79168i 0.000470063 0.00866980i
\(323\) 110.179 500.547i 0.341111 1.54968i
\(324\) 106.219 122.317i 0.327838 0.377521i
\(325\) −1082.75 + 364.820i −3.33153 + 1.12252i
\(326\) −39.6176 + 179.985i −0.121526 + 0.552100i
\(327\) 20.1187 + 255.709i 0.0615251 + 0.781986i
\(328\) 128.280 121.513i 0.391097 0.370467i
\(329\) 13.3669 14.1112i 0.0406288 0.0428913i
\(330\) 288.932 54.6232i 0.875551 0.165525i
\(331\) −62.8571 + 383.411i −0.189901 + 1.15834i 0.704041 + 0.710159i \(0.251377\pi\)
−0.893942 + 0.448183i \(0.852071\pi\)
\(332\) 55.0097 + 37.2975i 0.165692 + 0.112342i
\(333\) 47.4130 7.50719i 0.142381 0.0225441i
\(334\) 342.281 205.944i 1.02479 0.616598i
\(335\) 25.5927 + 116.269i 0.0763962 + 0.347071i
\(336\) −4.67948 15.3900i −0.0139270 0.0458035i
\(337\) 231.361 + 107.039i 0.686530 + 0.317622i 0.731962 0.681345i \(-0.238605\pi\)
−0.0454328 + 0.998967i \(0.514467\pi\)
\(338\) 557.808 154.875i 1.65032 0.458209i
\(339\) 41.5422 + 41.7697i 0.122543 + 0.123215i
\(340\) −435.040 + 47.3134i −1.27953 + 0.139157i
\(341\) 288.010 + 152.693i 0.844604 + 0.447781i
\(342\) −202.946 + 152.533i −0.593408 + 0.446003i
\(343\) 34.4998 124.257i 0.100583 0.362266i
\(344\) −99.3970 84.4286i −0.288945 0.245432i
\(345\) 21.8955 + 30.6588i 0.0634652 + 0.0888661i
\(346\) −99.8865 147.322i −0.288689 0.425785i
\(347\) −112.789 243.790i −0.325041 0.702565i 0.674315 0.738444i \(-0.264439\pi\)
−0.999356 + 0.0358787i \(0.988577\pi\)
\(348\) 16.8055 18.6296i 0.0482915 0.0535334i
\(349\) −120.794 + 303.171i −0.346115 + 0.868684i 0.648127 + 0.761532i \(0.275553\pi\)
−0.994243 + 0.107152i \(0.965827\pi\)
\(350\) 54.5050 71.7000i 0.155728 0.204857i
\(351\) −642.637 92.9281i −1.83087 0.264753i
\(352\) 43.6326 + 14.7015i 0.123956 + 0.0417657i
\(353\) 145.375i 0.411828i 0.978570 + 0.205914i \(0.0660167\pi\)
−0.978570 + 0.205914i \(0.933983\pi\)
\(354\) 82.8354 + 236.212i 0.233998 + 0.667267i
\(355\) −445.470 −1.25485
\(356\) −67.6033 + 200.640i −0.189897 + 0.563594i
\(357\) −41.0916 + 94.8099i −0.115102 + 0.265574i
\(358\) 254.783 + 193.681i 0.711685 + 0.541009i
\(359\) −56.9475 22.6900i −0.158628 0.0632033i 0.289473 0.957186i \(-0.406520\pi\)
−0.448101 + 0.893983i \(0.647899\pi\)
\(360\) 178.745 + 122.623i 0.496515 + 0.340620i
\(361\) 33.4528 15.4769i 0.0926669 0.0428723i
\(362\) −46.4695 + 31.5071i −0.128369 + 0.0870361i
\(363\) −95.4611 133.668i −0.262978 0.368231i
\(364\) −41.7395 + 49.1395i −0.114669 + 0.134999i
\(365\) 497.263 + 138.064i 1.36236 + 0.378258i
\(366\) 152.052 85.4194i 0.415444 0.233386i
\(367\) −35.1628 + 66.3241i −0.0958115 + 0.180720i −0.926785 0.375592i \(-0.877439\pi\)
0.830973 + 0.556312i \(0.187784\pi\)
\(368\) 0.637810 + 5.86457i 0.00173318 + 0.0159363i
\(369\) 445.730 + 342.694i 1.20794 + 0.928710i
\(370\) 17.1836 + 61.8898i 0.0464422 + 0.167270i
\(371\) 19.9198 43.0560i 0.0536922 0.116054i
\(372\) 69.9066 + 229.910i 0.187921 + 0.618038i
\(373\) 146.981 32.3530i 0.394051 0.0867372i −0.0135249 0.999909i \(-0.504305\pi\)
0.407576 + 0.913171i \(0.366374\pi\)
\(374\) −152.486 253.434i −0.407717 0.677630i
\(375\) 14.0011 + 574.858i 0.0373362 + 1.53295i
\(376\) −23.0158 + 33.9457i −0.0612121 + 0.0902812i
\(377\) −99.2380 16.2693i −0.263231 0.0431545i
\(378\) 46.0394 22.3652i 0.121797 0.0591673i
\(379\) −99.5737 94.3212i −0.262727 0.248869i 0.544984 0.838446i \(-0.316536\pi\)
−0.807712 + 0.589578i \(0.799294\pi\)
\(380\) −233.610 246.619i −0.614763 0.648998i
\(381\) −52.0374 661.397i −0.136581 1.73595i
\(382\) 217.736 + 47.9273i 0.569989 + 0.125464i
\(383\) −78.4843 232.933i −0.204920 0.608180i −0.999999 0.00167403i \(-0.999467\pi\)
0.795079 0.606506i \(-0.207429\pi\)
\(384\) 14.9973 + 30.4480i 0.0390555 + 0.0792917i
\(385\) 90.7337 + 19.9720i 0.235672 + 0.0518753i
\(386\) −525.187 28.4748i −1.36059 0.0737689i
\(387\) 215.882 354.401i 0.557835 0.915766i
\(388\) −67.4104 63.8545i −0.173738 0.164574i
\(389\) −119.682 + 6.48898i −0.307666 + 0.0166812i −0.207326 0.978272i \(-0.566476\pi\)
−0.100341 + 0.994953i \(0.531993\pi\)
\(390\) 25.8996 868.434i 0.0664093 2.22675i
\(391\) 21.2663 31.3654i 0.0543894 0.0802184i
\(392\) −14.4350 + 132.728i −0.0368241 + 0.338592i
\(393\) 405.013 + 506.687i 1.03057 + 1.28928i
\(394\) −83.4415 + 18.3669i −0.211780 + 0.0466164i
\(395\) 351.229 57.5810i 0.889187 0.145775i
\(396\) −24.4918 + 144.446i −0.0618480 + 0.364762i
\(397\) −11.4338 41.1809i −0.0288005 0.103730i 0.947753 0.319006i \(-0.103349\pi\)
−0.976553 + 0.215275i \(0.930935\pi\)
\(398\) −148.306 195.093i −0.372627 0.490183i
\(399\) −77.8945 + 19.1457i −0.195224 + 0.0479842i
\(400\) −89.0158 + 167.902i −0.222540 + 0.419754i
\(401\) −162.814 + 64.8709i −0.406019 + 0.161773i −0.564201 0.825637i \(-0.690816\pi\)
0.158182 + 0.987410i \(0.449437\pi\)
\(402\) −58.7515 8.16826i −0.146148 0.0203191i
\(403\) 623.545 734.093i 1.54726 1.82157i
\(404\) −291.833 + 154.720i −0.722358 + 0.382970i
\(405\) −296.436 + 622.786i −0.731940 + 1.53774i
\(406\) 7.19445 3.32851i 0.0177203 0.00819829i
\(407\) −33.0877 + 28.1049i −0.0812964 + 0.0690538i
\(408\) 53.1972 211.443i 0.130385 0.518242i
\(409\) 585.264 + 444.906i 1.43096 + 1.08779i 0.980838 + 0.194825i \(0.0624139\pi\)
0.450126 + 0.892965i \(0.351379\pi\)
\(410\) −387.853 + 644.617i −0.945983 + 1.57224i
\(411\) −15.7926 + 81.1054i −0.0384248 + 0.197337i
\(412\) −311.194 −0.755326
\(413\) −5.23389 + 78.9145i −0.0126729 + 0.191076i
\(414\) −18.1139 + 4.92287i −0.0437535 + 0.0118910i
\(415\) −268.157 90.3526i −0.646162 0.217717i
\(416\) 70.1366 116.568i 0.168598 0.280211i
\(417\) 377.618 + 214.859i 0.905558 + 0.515250i
\(418\) 84.9827 213.290i 0.203308 0.510264i
\(419\) −286.909 + 243.703i −0.684747 + 0.581630i −0.920764 0.390119i \(-0.872434\pi\)
0.236017 + 0.971749i \(0.424158\pi\)
\(420\) 36.7271 + 57.8064i 0.0874454 + 0.137634i
\(421\) 251.326 + 370.679i 0.596975 + 0.880472i 0.999388 0.0349866i \(-0.0111388\pi\)
−0.402413 + 0.915458i \(0.631828\pi\)
\(422\) −149.242 + 79.1230i −0.353654 + 0.187495i
\(423\) −118.139 55.4424i −0.279288 0.131070i
\(424\) −26.7798 + 96.4522i −0.0631599 + 0.227481i
\(425\) 1134.07 451.856i 2.66841 1.06319i
\(426\) 77.1078 208.126i 0.181004 0.488560i
\(427\) 54.7801 5.95769i 0.128291 0.0139524i
\(428\) 46.0881 + 60.6278i 0.107682 + 0.141654i
\(429\) 540.063 230.572i 1.25889 0.537464i
\(430\) 503.938 + 233.146i 1.17195 + 0.542201i
\(431\) 302.220 49.5465i 0.701207 0.114957i 0.199376 0.979923i \(-0.436108\pi\)
0.501831 + 0.864966i \(0.332660\pi\)
\(432\) −88.2298 + 62.2856i −0.204236 + 0.144180i
\(433\) −140.673 + 84.6399i −0.324879 + 0.195473i −0.668644 0.743582i \(-0.733125\pi\)
0.343765 + 0.939056i \(0.388298\pi\)
\(434\) −8.20887 + 75.4793i −0.0189145 + 0.173916i
\(435\) −47.7236 + 95.5689i −0.109709 + 0.219699i
\(436\) 27.6647 168.747i 0.0634511 0.387034i
\(437\) 29.3736 1.59259i 0.0672164 0.00364437i
\(438\) −150.577 + 208.426i −0.343783 + 0.475859i
\(439\) −518.294 + 490.954i −1.18062 + 1.11835i −0.189993 + 0.981786i \(0.560846\pi\)
−0.990632 + 0.136561i \(0.956395\pi\)
\(440\) −195.746 10.6130i −0.444877 0.0241205i
\(441\) −424.324 + 20.6817i −0.962187 + 0.0468973i
\(442\) −828.160 + 279.040i −1.87367 + 0.631311i
\(443\) 73.3445 + 217.679i 0.165563 + 0.491374i 0.998033 0.0626968i \(-0.0199701\pi\)
−0.832469 + 0.554071i \(0.813074\pi\)
\(444\) −31.8897 2.68440i −0.0718236 0.00604596i
\(445\) 48.8028 900.115i 0.109669 2.02273i
\(446\) −0.591367 0.624298i −0.00132593 0.00139977i
\(447\) 234.266 324.267i 0.524085 0.725428i
\(448\) 0.580574 + 10.7081i 0.00129592 + 0.0239019i
\(449\) −537.991 88.1992i −1.19820 0.196435i −0.470543 0.882377i \(-0.655942\pi\)
−0.727656 + 0.685942i \(0.759390\pi\)
\(450\) −571.982 196.210i −1.27107 0.436021i
\(451\) −505.491 54.9754i −1.12082 0.121897i
\(452\) −20.2477 33.6520i −0.0447959 0.0744513i
\(453\) 133.798 48.7405i 0.295360 0.107595i
\(454\) −81.6383 497.971i −0.179820 1.09685i
\(455\) 115.262 249.135i 0.253323 0.547549i
\(456\) 155.658 66.4560i 0.341356 0.145737i
\(457\) 242.333 184.217i 0.530270 0.403101i −0.305490 0.952195i \(-0.598820\pi\)
0.835760 + 0.549094i \(0.185027\pi\)
\(458\) −61.7503 567.784i −0.134826 1.23970i
\(459\) 691.001 + 61.9709i 1.50545 + 0.135013i
\(460\) −9.29654 23.3325i −0.0202099 0.0507229i
\(461\) −264.467 73.4289i −0.573681 0.159282i −0.0314415 0.999506i \(-0.510010\pi\)
−0.542240 + 0.840224i \(0.682424\pi\)
\(462\) −25.0364 + 38.9343i −0.0541914 + 0.0842734i
\(463\) 80.9128 + 152.618i 0.174758 + 0.329628i 0.955382 0.295372i \(-0.0954437\pi\)
−0.780625 + 0.625000i \(0.785099\pi\)
\(464\) −13.8442 + 9.38662i −0.0298367 + 0.0202298i
\(465\) −548.664 863.567i −1.17992 1.85713i
\(466\) −274.246 322.868i −0.588512 0.692849i
\(467\) −172.461 68.7149i −0.369296 0.147141i 0.178105 0.984012i \(-0.443003\pi\)
−0.547401 + 0.836870i \(0.684383\pi\)
\(468\) 401.255 + 162.420i 0.857382 + 0.347052i
\(469\) −16.0585 9.66211i −0.0342400 0.0206015i
\(470\) 55.7554 165.476i 0.118628 0.352077i
\(471\) −469.306 + 62.6363i −0.996404 + 0.132986i
\(472\) −16.0404 166.105i −0.0339839 0.351916i
\(473\) 375.291i 0.793426i
\(474\) −33.8930 + 174.063i −0.0715043 + 0.367222i
\(475\) 811.999 + 488.564i 1.70947 + 1.02856i
\(476\) 41.6891 54.8411i 0.0875822 0.115212i
\(477\) −316.459 36.1675i −0.663436 0.0758229i
\(478\) −283.960 334.304i −0.594059 0.699380i
\(479\) −285.959 618.090i −0.596991 1.29038i −0.936795 0.349879i \(-0.886223\pi\)
0.339803 0.940497i \(-0.389640\pi\)
\(480\) −96.2070 107.829i −0.200431 0.224643i
\(481\) 60.0831 + 113.329i 0.124913 + 0.235611i
\(482\) 378.227 + 321.269i 0.784703 + 0.666533i
\(483\) −5.87424 0.816700i −0.0121620 0.00169089i
\(484\) 40.5315 + 101.726i 0.0837428 + 0.210179i
\(485\) 349.280 + 185.176i 0.720165 + 0.381807i
\(486\) −239.658 246.296i −0.493124 0.506783i
\(487\) −503.128 + 382.468i −1.03312 + 0.785356i −0.977037 0.213070i \(-0.931654\pi\)
−0.0560810 + 0.998426i \(0.517861\pi\)
\(488\) −112.031 + 31.1052i −0.229571 + 0.0637401i
\(489\) 373.410 + 115.772i 0.763620 + 0.236752i
\(490\) −91.9632 560.951i −0.187680 1.14480i
\(491\) 67.1308 + 304.978i 0.136723 + 0.621137i 0.994285 + 0.106757i \(0.0340468\pi\)
−0.857562 + 0.514380i \(0.828022\pi\)
\(492\) −234.034 292.786i −0.475679 0.595093i
\(493\) 106.818 + 11.6171i 0.216668 + 0.0235641i
\(494\) −561.491 380.700i −1.13662 0.770648i
\(495\) −64.0527 620.477i −0.129399 1.25349i
\(496\) −8.67317 159.967i −0.0174862 0.322514i
\(497\) 48.2256 50.9111i 0.0970334 0.102437i
\(498\) 88.6294 109.645i 0.177971 0.220171i
\(499\) 13.7307 253.248i 0.0275164 0.507510i −0.951994 0.306117i \(-0.900970\pi\)
0.979510 0.201393i \(-0.0645470\pi\)
\(500\) 82.4094 374.390i 0.164819 0.748780i
\(501\) −374.428 760.175i −0.747361 1.51732i
\(502\) 600.787 202.429i 1.19679 0.403244i
\(503\) −119.040 + 540.803i −0.236660 + 1.07516i 0.697021 + 0.717050i \(0.254508\pi\)
−0.933681 + 0.358106i \(0.883423\pi\)
\(504\) −33.3647 + 7.15322i −0.0661998 + 0.0141929i
\(505\) 1020.99 967.137i 2.02177 1.91512i
\(506\) 11.6743 12.3244i 0.0230717 0.0243565i
\(507\) −228.125 1206.68i −0.449951 2.38004i
\(508\) −71.5552 + 436.467i −0.140857 + 0.859188i
\(509\) −60.0220 40.6959i −0.117921 0.0799527i 0.500801 0.865563i \(-0.333039\pi\)
−0.618722 + 0.785610i \(0.712349\pi\)
\(510\) 22.6027 + 928.025i 0.0443190 + 1.81966i
\(511\) −69.6113 + 41.8838i −0.136226 + 0.0819643i
\(512\) −4.86423 22.0984i −0.00950044 0.0431609i
\(513\) 286.319 + 456.137i 0.558127 + 0.889156i
\(514\) −215.151 99.5394i −0.418581 0.193656i
\(515\) 1276.66 354.462i 2.47894 0.688276i
\(516\) −196.155 + 195.087i −0.380146 + 0.378075i
\(517\) 117.329 12.7603i 0.226942 0.0246815i
\(518\) −8.93342 4.73620i −0.0172460 0.00914324i
\(519\) −329.188 + 184.930i −0.634274 + 0.356320i
\(520\) −154.956 + 558.101i −0.297992 + 1.07327i
\(521\) 55.9313 + 47.5085i 0.107354 + 0.0911871i 0.699456 0.714676i \(-0.253426\pi\)
−0.592102 + 0.805863i \(0.701702\pi\)
\(522\) −36.3898 38.8390i −0.0697122 0.0744043i
\(523\) −316.683 467.073i −0.605513 0.893064i 0.394150 0.919046i \(-0.371039\pi\)
−0.999662 + 0.0259819i \(0.991729\pi\)
\(524\) −181.579 392.476i −0.346524 0.748999i
\(525\) −141.864 127.973i −0.270217 0.243759i
\(526\) −151.060 + 379.133i −0.287187 + 0.720785i
\(527\) −622.792 + 819.269i −1.18177 + 1.55459i
\(528\) 38.8407 89.6166i 0.0735619 0.169728i
\(529\) −499.247 168.216i −0.943757 0.317989i
\(530\) 426.192i 0.804137i
\(531\) 514.056 133.070i 0.968090 0.250602i
\(532\) 53.4753 0.100517
\(533\) −479.708 + 1423.72i −0.900014 + 2.67115i
\(534\) 412.091 + 178.605i 0.771707 + 0.334465i
\(535\) −258.131 196.226i −0.482488 0.366778i
\(536\) 36.7358 + 14.6369i 0.0685369 + 0.0273076i
\(537\) 454.748 504.109i 0.846831 0.938750i
\(538\) −325.709 + 150.689i −0.605407 + 0.280091i
\(539\) 317.998 215.608i 0.589978 0.400015i
\(540\) 291.012 356.020i 0.538911 0.659297i
\(541\) −301.033 + 354.403i −0.556438 + 0.655089i −0.966409 0.257009i \(-0.917263\pi\)
0.409971 + 0.912098i \(0.365539\pi\)
\(542\) 673.853 + 187.094i 1.24327 + 0.345193i
\(543\) 58.3323 + 103.836i 0.107426 + 0.191226i
\(544\) −68.0854 + 128.423i −0.125157 + 0.236071i
\(545\) 78.7164 + 723.786i 0.144434 + 1.32805i
\(546\) 96.4463 + 96.9747i 0.176642 + 0.177609i
\(547\) 188.475 + 678.825i 0.344561 + 1.24100i 0.909444 + 0.415826i \(0.136507\pi\)
−0.564884 + 0.825171i \(0.691079\pi\)
\(548\) 23.1299 49.9945i 0.0422079 0.0912308i
\(549\) −153.507 336.615i −0.279613 0.613142i
\(550\) 534.085 117.561i 0.971063 0.213747i
\(551\) 43.0012 + 71.4685i 0.0780421 + 0.129707i
\(552\) 12.5103 0.304696i 0.0226635 0.000551986i
\(553\) −31.4425 + 46.3742i −0.0568580 + 0.0838593i
\(554\) −675.658 110.769i −1.21960 0.199943i
\(555\) 133.883 25.3109i 0.241231 0.0456052i
\(556\) −210.280 199.187i −0.378201 0.358251i
\(557\) 621.307 + 655.905i 1.11545 + 1.17757i 0.982464 + 0.186450i \(0.0596983\pi\)
0.132987 + 0.991118i \(0.457543\pi\)
\(558\) 498.433 106.862i 0.893250 0.191508i
\(559\) 1082.94 + 238.372i 1.93727 + 0.426426i
\(560\) −14.5786 43.2679i −0.0260333 0.0772641i
\(561\) −562.853 + 277.236i −1.00330 + 0.494182i
\(562\) 523.296 + 115.186i 0.931132 + 0.204958i
\(563\) 765.365 + 41.4969i 1.35944 + 0.0737067i 0.719379 0.694618i \(-0.244426\pi\)
0.640061 + 0.768324i \(0.278909\pi\)
\(564\) 67.6606 + 54.6920i 0.119966 + 0.0969717i
\(565\) 121.396 + 114.992i 0.214860 + 0.203526i
\(566\) −453.236 + 24.5737i −0.800770 + 0.0434165i
\(567\) −39.0844 101.300i −0.0689319 0.178659i
\(568\) −83.0373 + 122.471i −0.146192 + 0.215618i
\(569\) −49.9941 + 459.688i −0.0878630 + 0.807887i 0.864441 + 0.502735i \(0.167673\pi\)
−0.952304 + 0.305152i \(0.901293\pi\)
\(570\) −562.883 + 449.932i −0.987514 + 0.789355i
\(571\) −263.872 + 58.0826i −0.462123 + 0.101721i −0.439928 0.898033i \(-0.644996\pi\)
−0.0221941 + 0.999754i \(0.507065\pi\)
\(572\) −386.325 + 63.3348i −0.675394 + 0.110725i
\(573\) 140.055 451.732i 0.244423 0.788362i
\(574\) −31.6827 114.111i −0.0551964 0.198800i
\(575\) 42.4026 + 55.7796i 0.0737436 + 0.0970080i
\(576\) 67.0309 26.2841i 0.116373 0.0456321i
\(577\) −469.509 + 885.588i −0.813707 + 1.53481i 0.0309586 + 0.999521i \(0.490144\pi\)
−0.844666 + 0.535294i \(0.820201\pi\)
\(578\) 487.738 194.332i 0.843837 0.336215i
\(579\) −153.642 + 1105.10i −0.265358 + 1.90863i
\(580\) 46.1034 54.2772i 0.0794887 0.0935813i
\(581\) 39.3561 20.8653i 0.0677386 0.0359127i
\(582\) −146.973 + 131.133i −0.252532 + 0.225314i
\(583\) 261.434 120.952i 0.448429 0.207465i
\(584\) 130.649 110.974i 0.223714 0.190024i
\(585\) −1831.13 209.276i −3.13013 0.357737i
\(586\) 139.935 + 106.376i 0.238798 + 0.181529i
\(587\) 86.7332 144.152i 0.147757 0.245574i −0.774136 0.633020i \(-0.781815\pi\)
0.921892 + 0.387446i \(0.126643\pi\)
\(588\) 277.998 + 54.1309i 0.472785 + 0.0920594i
\(589\) −798.865 −1.35631
\(590\) 255.004 + 663.163i 0.432210 + 1.12401i
\(591\) 23.9772 + 179.651i 0.0405705 + 0.303977i
\(592\) 20.2181 + 6.81229i 0.0341523 + 0.0115072i
\(593\) −39.5796 + 65.7817i −0.0667446 + 0.110930i −0.888432 0.459007i \(-0.848205\pi\)
0.821688 + 0.569938i \(0.193033\pi\)
\(594\) 300.978 + 77.4744i 0.506696 + 0.130428i
\(595\) −108.561 + 272.468i −0.182456 + 0.457929i
\(596\) −203.262 + 172.652i −0.341043 + 0.289685i
\(597\) −438.785 + 278.780i −0.734983 + 0.466969i
\(598\) −28.1480 41.5152i −0.0470702 0.0694234i
\(599\) −886.070 + 469.764i −1.47925 + 0.784248i −0.995838 0.0911462i \(-0.970947\pi\)
−0.483410 + 0.875394i \(0.660602\pi\)
\(600\) 339.079 + 218.042i 0.565131 + 0.363403i
\(601\) −79.0740 + 284.799i −0.131571 + 0.473875i −0.999750 0.0223763i \(-0.992877\pi\)
0.868179 + 0.496251i \(0.165291\pi\)
\(602\) −81.2005 + 32.3532i −0.134885 + 0.0537429i
\(603\) −27.7206 + 122.738i −0.0459712 + 0.203546i
\(604\) −94.3762 + 10.2640i −0.156252 + 0.0169934i
\(605\) −282.148 371.160i −0.466361 0.613488i
\(606\) 275.125 + 644.419i 0.454002 + 1.06340i
\(607\) −44.6501 20.6573i −0.0735586 0.0340318i 0.382765 0.923846i \(-0.374972\pi\)
−0.456323 + 0.889814i \(0.650834\pi\)
\(608\) −111.348 + 18.2545i −0.183137 + 0.0300239i
\(609\) −5.75577 15.8002i −0.00945118 0.0259445i
\(610\) 424.170 255.214i 0.695360 0.418384i
\(611\) 37.7025 346.669i 0.0617063 0.567380i
\(612\) −437.491 150.075i −0.714855 0.245220i
\(613\) 95.5757 582.986i 0.155915 0.951038i −0.786744 0.617279i \(-0.788235\pi\)
0.942659 0.333758i \(-0.108317\pi\)
\(614\) 204.841 11.1061i 0.333617 0.0180882i
\(615\) 1293.60 + 934.563i 2.10342 + 1.51961i
\(616\) 22.4039 21.2221i 0.0363700 0.0344515i
\(617\) −101.845 5.52187i −0.165065 0.00894955i −0.0285787 0.999592i \(-0.509098\pi\)
−0.136486 + 0.990642i \(0.543581\pi\)
\(618\) −55.3736 + 657.816i −0.0896013 + 1.06443i
\(619\) 199.879 67.3470i 0.322906 0.108800i −0.153180 0.988198i \(-0.548952\pi\)
0.476086 + 0.879399i \(0.342055\pi\)
\(620\) 217.790 + 646.377i 0.351274 + 1.04254i
\(621\) 7.18301 + 39.1660i 0.0115668 + 0.0630693i
\(622\) 30.3007 558.864i 0.0487149 0.898494i
\(623\) 97.5874 + 103.022i 0.156641 + 0.165364i
\(624\) −233.926 169.000i −0.374882 0.270833i
\(625\) 24.0610 + 443.778i 0.0384975 + 0.710046i
\(626\) 742.869 + 121.787i 1.18669 + 0.194548i
\(627\) −435.741 217.593i −0.694962 0.347038i
\(628\) 313.795 + 34.1272i 0.499673 + 0.0543427i
\(629\) −70.6578 117.434i −0.112334 0.186700i
\(630\) 128.729 67.3493i 0.204332 0.106904i
\(631\) 58.0510 + 354.096i 0.0919984 + 0.561166i 0.992096 + 0.125478i \(0.0400465\pi\)
−0.900098 + 0.435688i \(0.856505\pi\)
\(632\) 49.6399 107.295i 0.0785441 0.169770i
\(633\) 140.698 + 329.553i 0.222271 + 0.520621i
\(634\) −243.204 + 184.879i −0.383602 + 0.291607i
\(635\) −203.602 1872.09i −0.320632 2.94817i
\(636\) 199.120 + 73.7709i 0.313081 + 0.115992i
\(637\) −420.175 1054.56i −0.659616 1.65551i
\(638\) 46.3786 + 12.8770i 0.0726937 + 0.0201833i
\(639\) −426.226 200.028i −0.667021 0.313032i
\(640\) 45.1261 + 85.1169i 0.0705095 + 0.132995i
\(641\) 811.693 550.342i 1.26629 0.858567i 0.271696 0.962383i \(-0.412416\pi\)
0.994597 + 0.103816i \(0.0331053\pi\)
\(642\) 136.359 86.6350i 0.212397 0.134945i
\(643\) 345.031 + 406.202i 0.536595 + 0.631729i 0.961926 0.273309i \(-0.0881182\pi\)
−0.425331 + 0.905038i \(0.639842\pi\)
\(644\) 3.67301 + 1.46346i 0.00570343 + 0.00227246i
\(645\) 582.505 1023.76i 0.903109 1.58722i
\(646\) 621.073 + 373.687i 0.961413 + 0.578463i
\(647\) −198.815 + 590.063i −0.307288 + 0.911998i 0.677085 + 0.735904i \(0.263243\pi\)
−0.984373 + 0.176094i \(0.943654\pi\)
\(648\) 115.963 + 197.587i 0.178955 + 0.304918i
\(649\) −334.427 + 344.628i −0.515295 + 0.531014i
\(650\) 1615.82i 2.48588i
\(651\) 158.091 + 30.7830i 0.242843 + 0.0472857i
\(652\) −223.323 134.369i −0.342520 0.206087i
\(653\) −72.2988 + 95.1074i −0.110718 + 0.145647i −0.848114 0.529813i \(-0.822262\pi\)
0.737396 + 0.675460i \(0.236055\pi\)
\(654\) −351.782 88.5055i −0.537893 0.135329i
\(655\) 1191.96 + 1403.28i 1.81979 + 2.14242i
\(656\) 104.924 + 226.789i 0.159945 + 0.345715i
\(657\) 413.787 + 355.384i 0.629812 + 0.540919i
\(658\) 12.8757 + 24.2861i 0.0195679 + 0.0369090i
\(659\) 568.838 + 483.175i 0.863184 + 0.733195i 0.965179 0.261590i \(-0.0842469\pi\)
−0.101995 + 0.994785i \(0.532523\pi\)
\(660\) −57.2651 + 411.888i −0.0867653 + 0.624072i
\(661\) −9.13705 22.9323i −0.0138231 0.0346933i 0.921903 0.387420i \(-0.126634\pi\)
−0.935726 + 0.352727i \(0.885254\pi\)
\(662\) −485.458 257.374i −0.733320 0.388782i
\(663\) 442.484 + 1800.25i 0.667397 + 2.71532i
\(664\) −74.8257 + 56.8810i −0.112689 + 0.0856641i
\(665\) −219.379 + 60.9103i −0.329893 + 0.0915945i
\(666\) −11.3488 + 66.9321i −0.0170403 + 0.100499i
\(667\) 0.997703 + 6.08572i 0.00149581 + 0.00912401i
\(668\) 121.442 + 551.716i 0.181799 + 0.825922i
\(669\) −1.42490 + 1.13897i −0.00212989 + 0.00170250i
\(670\) −167.378 18.2035i −0.249819 0.0271694i
\(671\) 276.931 + 187.764i 0.412714 + 0.279827i
\(672\) 22.7385 + 0.678138i 0.0338370 + 0.00100913i
\(673\) −60.7645 1120.73i −0.0902889 1.66528i −0.596305 0.802758i \(-0.703365\pi\)
0.506016 0.862524i \(-0.331118\pi\)
\(674\) −247.925 + 261.731i −0.367841 + 0.388325i
\(675\) −516.535 + 1174.17i −0.765236 + 1.73951i
\(676\) −44.3236 + 817.501i −0.0655675 + 1.20932i
\(677\) 246.893 1121.65i 0.364687 1.65679i −0.334909 0.942251i \(-0.608705\pi\)
0.699596 0.714539i \(-0.253364\pi\)
\(678\) −74.7379 + 36.8126i −0.110233 + 0.0542958i
\(679\) −58.9753 + 19.8711i −0.0868562 + 0.0292653i
\(680\) 133.038 604.398i 0.195644 0.888821i
\(681\) −1067.16 + 83.9621i −1.56705 + 0.123292i
\(682\) −334.691 + 317.036i −0.490749 + 0.464862i
\(683\) 128.287 135.431i 0.187828 0.198288i −0.625280 0.780401i \(-0.715015\pi\)
0.813108 + 0.582113i \(0.197774\pi\)
\(684\) −112.780 340.862i −0.164883 0.498337i
\(685\) −37.9435 + 231.445i −0.0553920 + 0.337876i
\(686\) 150.949 + 102.346i 0.220042 + 0.149192i
\(687\) −1211.20 + 29.4995i −1.76302 + 0.0429396i
\(688\) 158.034 95.0856i 0.229700 0.138206i
\(689\) −182.965 831.217i −0.265551 1.20641i
\(690\) −50.9756 + 15.4997i −0.0738777 + 0.0224633i
\(691\) −786.009 363.647i −1.13750 0.526261i −0.241533 0.970393i \(-0.577650\pi\)
−0.895962 + 0.444131i \(0.853512\pi\)
\(692\) 242.543 67.3417i 0.350495 0.0973145i
\(693\) 77.8462 + 59.8510i 0.112332 + 0.0863651i
\(694\) 377.655 41.0724i 0.544171 0.0591822i
\(695\) 1089.54 + 577.638i 1.56769 + 0.831134i
\(696\) 17.3784 + 30.9348i 0.0249690 + 0.0444465i
\(697\) 429.441 1546.71i 0.616128 2.21909i
\(698\) −351.759 298.787i −0.503952 0.428061i
\(699\) −731.291 + 522.263i −1.04620 + 0.747158i
\(700\) 71.4790 + 105.424i 0.102113 + 0.150605i
\(701\) −320.956 693.736i −0.457855 0.989637i −0.989748 0.142826i \(-0.954381\pi\)
0.531893 0.846812i \(-0.321481\pi\)
\(702\) 414.730 819.289i 0.590784 1.16708i
\(703\) 39.3786 98.8329i 0.0560151 0.140587i
\(704\) −39.4055 + 51.8371i −0.0559738 + 0.0736322i
\(705\) −339.870 147.303i −0.482085 0.208940i
\(706\) −194.830 65.6457i −0.275963 0.0929826i
\(707\) 221.386i 0.313134i
\(708\) −353.973 + 4.35046i −0.499962 + 0.00614471i
\(709\) 351.148 0.495273 0.247636 0.968853i \(-0.420346\pi\)
0.247636 + 0.968853i \(0.420346\pi\)
\(710\) 201.157 597.012i 0.283319 0.840862i
\(711\) 361.911 + 102.617i 0.509017 + 0.144328i
\(712\) −238.367 181.202i −0.334785 0.254497i
\(713\) −54.8709 21.8626i −0.0769578 0.0306628i
\(714\) −108.507 97.8827i −0.151971 0.137091i
\(715\) 1512.74 699.866i 2.11572 0.978834i
\(716\) −374.619 + 253.998i −0.523210 + 0.354745i
\(717\) −757.194 + 540.762i −1.05606 + 0.754201i
\(718\) 56.1240 66.0743i 0.0781671 0.0920255i
\(719\) −57.7913 16.0457i −0.0803773 0.0223167i 0.227107 0.973870i \(-0.427073\pi\)
−0.307484 + 0.951553i \(0.599487\pi\)
\(720\) −245.052 + 184.180i −0.340350 + 0.255805i
\(721\) −97.6977 + 184.277i −0.135503 + 0.255586i
\(722\) 5.63594 + 51.8216i 0.00780601 + 0.0717751i
\(723\) 746.414 742.347i 1.03238 1.02676i
\(724\) −21.2415 76.5050i −0.0293391 0.105670i
\(725\) −83.4178 + 180.305i −0.115059 + 0.248696i
\(726\) 222.246 67.5762i 0.306124 0.0930802i
\(727\) −1028.10 + 226.301i −1.41416 + 0.311281i −0.855366 0.518024i \(-0.826668\pi\)
−0.558797 + 0.829304i \(0.688737\pi\)
\(728\) −47.0081 78.1281i −0.0645716 0.107319i
\(729\) −563.277 + 462.775i −0.772671 + 0.634807i
\(730\) −409.576 + 604.079i −0.561063 + 0.827505i
\(731\) −1169.17 191.675i −1.59941 0.262209i
\(732\) 45.8169 + 242.350i 0.0625914 + 0.331080i
\(733\) −35.1147 33.2624i −0.0479054 0.0453784i 0.663372 0.748289i \(-0.269125\pi\)
−0.711278 + 0.702911i \(0.751883\pi\)
\(734\) −73.0084 77.0740i −0.0994665 0.105005i
\(735\) −1202.13 + 94.5809i −1.63555 + 0.128681i
\(736\) −8.14761 1.79342i −0.0110701 0.00243672i
\(737\) −36.3352 107.839i −0.0493015 0.146322i
\(738\) −660.547 + 442.614i −0.895051 + 0.599747i
\(739\) −319.258 70.2740i −0.432013 0.0950933i −0.00636030 0.999980i \(-0.502025\pi\)
−0.425653 + 0.904886i \(0.639956\pi\)
\(740\) −90.7032 4.91778i −0.122572 0.00664566i
\(741\) −904.652 + 1119.16i −1.22085 + 1.51034i
\(742\) 48.7079 + 46.1386i 0.0656441 + 0.0621814i
\(743\) 37.5760 2.03731i 0.0505734 0.00274201i −0.0288348 0.999584i \(-0.509180\pi\)
0.0794082 + 0.996842i \(0.474697\pi\)
\(744\) −339.689 10.1307i −0.456571 0.0136165i
\(745\) 637.212 939.818i 0.855319 1.26150i
\(746\) −23.0119 + 211.591i −0.0308470 + 0.283634i
\(747\) −216.002 206.859i −0.289160 0.276920i
\(748\) 408.504 89.9186i 0.546129 0.120212i
\(749\) 50.3706 8.25784i 0.0672505 0.0110252i
\(750\) −776.738 240.819i −1.03565 0.321092i
\(751\) 335.827 + 1209.54i 0.447173 + 1.61057i