Properties

Label 770.2.n.k.631.2
Level $770$
Weight $2$
Character 770.631
Analytic conductor $6.148$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 770.n (of order \(5\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.14848095564\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(4\) over \(\Q(\zeta_{5})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} - \cdots)\)
Defining polynomial: \(x^{16} - 5 x^{15} + 18 x^{14} - 35 x^{13} + 89 x^{12} - 185 x^{11} + 837 x^{10} - 1660 x^{9} + 4196 x^{8} - 8420 x^{7} + 13485 x^{6} - 14630 x^{5} + 11615 x^{4} - 5200 x^{3} + 1425 x^{2} - 225 x + 25\)
Coefficient ring: \(\Z[a_1, \ldots, a_{11}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label 631.2
Root \(0.347506 + 1.06951i\) of defining polynomial
Character \(\chi\) \(=\) 770.631
Dual form 770.2.n.k.421.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.809017 - 0.587785i) q^{2} +(-0.347506 + 1.06951i) q^{3} +(0.309017 + 0.951057i) q^{4} +(0.809017 - 0.587785i) q^{5} +(0.909784 - 0.660997i) q^{6} +(-0.309017 - 0.951057i) q^{7} +(0.309017 - 0.951057i) q^{8} +(1.40395 + 1.02003i) q^{9} +O(q^{10})\) \(q+(-0.809017 - 0.587785i) q^{2} +(-0.347506 + 1.06951i) q^{3} +(0.309017 + 0.951057i) q^{4} +(0.809017 - 0.587785i) q^{5} +(0.909784 - 0.660997i) q^{6} +(-0.309017 - 0.951057i) q^{7} +(0.309017 - 0.951057i) q^{8} +(1.40395 + 1.02003i) q^{9} -1.00000 q^{10} +(-2.21655 - 2.46717i) q^{11} -1.12455 q^{12} +(-5.71931 - 4.15532i) q^{13} +(-0.309017 + 0.951057i) q^{14} +(0.347506 + 1.06951i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(-2.78688 + 2.02478i) q^{17} +(-0.536261 - 1.65044i) q^{18} +(1.06183 - 3.26798i) q^{19} +(0.809017 + 0.587785i) q^{20} +1.12455 q^{21} +(0.343063 + 3.29883i) q^{22} +3.63913 q^{23} +(0.909784 + 0.660997i) q^{24} +(0.309017 - 0.951057i) q^{25} +(2.18458 + 6.72345i) q^{26} +(-4.30817 + 3.13007i) q^{27} +(0.809017 - 0.587785i) q^{28} +(-2.68628 - 8.26751i) q^{29} +(0.347506 - 1.06951i) q^{30} +(3.65793 + 2.65764i) q^{31} +1.00000 q^{32} +(3.40894 - 1.51328i) q^{33} +3.44477 q^{34} +(-0.809017 - 0.587785i) q^{35} +(-0.536261 + 1.65044i) q^{36} +(-0.241211 - 0.742372i) q^{37} +(-2.77991 + 2.01972i) q^{38} +(6.43167 - 4.67288i) q^{39} +(-0.309017 - 0.951057i) q^{40} +(-1.55091 + 4.77322i) q^{41} +(-0.909784 - 0.660997i) q^{42} -5.39500 q^{43} +(1.66146 - 2.87046i) q^{44} +1.73538 q^{45} +(-2.94412 - 2.13903i) q^{46} +(3.03694 - 9.34674i) q^{47} +(-0.347506 - 1.06951i) q^{48} +(-0.809017 + 0.587785i) q^{49} +(-0.809017 + 0.587785i) q^{50} +(-1.19708 - 3.68423i) q^{51} +(2.18458 - 6.72345i) q^{52} +(-9.19999 - 6.68419i) q^{53} +5.32519 q^{54} +(-3.24339 - 0.693123i) q^{55} -1.00000 q^{56} +(3.12616 + 2.27129i) q^{57} +(-2.68628 + 8.26751i) q^{58} +(-3.25231 - 10.0096i) q^{59} +(-0.909784 + 0.660997i) q^{60} +(-0.369102 + 0.268168i) q^{61} +(-1.39720 - 4.30015i) q^{62} +(0.536261 - 1.65044i) q^{63} +(-0.809017 - 0.587785i) q^{64} -7.06945 q^{65} +(-3.64737 - 0.779455i) q^{66} +10.4937 q^{67} +(-2.78688 - 2.02478i) q^{68} +(-1.26462 + 3.89211i) q^{69} +(0.309017 + 0.951057i) q^{70} +(5.51245 - 4.00503i) q^{71} +(1.40395 - 1.02003i) q^{72} +(-4.67084 - 14.3754i) q^{73} +(-0.241211 + 0.742372i) q^{74} +(0.909784 + 0.660997i) q^{75} +3.43616 q^{76} +(-1.66146 + 2.87046i) q^{77} -7.94999 q^{78} +(13.1358 + 9.54373i) q^{79} +(-0.309017 + 0.951057i) q^{80} +(-0.241755 - 0.744045i) q^{81} +(4.06034 - 2.95001i) q^{82} +(-5.98951 + 4.35163i) q^{83} +(0.347506 + 1.06951i) q^{84} +(-1.06449 + 3.27617i) q^{85} +(4.36464 + 3.17110i) q^{86} +9.77573 q^{87} +(-3.03137 + 1.34567i) q^{88} -4.97143 q^{89} +(-1.40395 - 1.02003i) q^{90} +(-2.18458 + 6.72345i) q^{91} +(1.12455 + 3.46102i) q^{92} +(-4.11354 + 2.98866i) q^{93} +(-7.95082 + 5.77661i) q^{94} +(-1.06183 - 3.26798i) q^{95} +(-0.347506 + 1.06951i) q^{96} +(-2.33800 - 1.69866i) q^{97} +1.00000 q^{98} +(-0.595344 - 5.72472i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16q - 4q^{2} - 5q^{3} - 4q^{4} + 4q^{5} + 5q^{6} + 4q^{7} - 4q^{8} + q^{9} + O(q^{10}) \) \( 16q - 4q^{2} - 5q^{3} - 4q^{4} + 4q^{5} + 5q^{6} + 4q^{7} - 4q^{8} + q^{9} - 16q^{10} - 2q^{11} + 8q^{13} + 4q^{14} + 5q^{15} - 4q^{16} - 13q^{17} - 9q^{18} + 15q^{19} + 4q^{20} - 2q^{22} + 20q^{23} + 5q^{24} - 4q^{25} - 7q^{26} + 10q^{27} + 4q^{28} - 14q^{29} + 5q^{30} - 6q^{31} + 16q^{32} - 25q^{33} + 12q^{34} - 4q^{35} - 9q^{36} + 28q^{37} - 20q^{38} + 15q^{39} + 4q^{40} + 2q^{41} - 5q^{42} - 10q^{43} + 3q^{44} - 16q^{45} - 10q^{46} - 10q^{47} - 5q^{48} - 4q^{49} - 4q^{50} - 42q^{51} - 7q^{52} - 2q^{53} - 3q^{55} - 16q^{56} + 21q^{57} - 14q^{58} + 7q^{59} - 5q^{60} + 4q^{61} + 14q^{62} + 9q^{63} - 4q^{64} + 2q^{65} - 10q^{66} + 66q^{67} - 13q^{68} - 64q^{69} - 4q^{70} + 2q^{71} + q^{72} + 12q^{73} + 28q^{74} + 5q^{75} + 10q^{76} - 3q^{77} + 70q^{78} + 2q^{79} + 4q^{80} - 30q^{81} - 13q^{82} - 5q^{83} + 5q^{84} - 7q^{85} + 5q^{86} - 24q^{87} - 2q^{88} + 2q^{89} - q^{90} + 7q^{91} - 38q^{93} + 25q^{94} - 15q^{95} - 5q^{96} + 22q^{97} + 16q^{98} - 18q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).

\(n\) \(211\) \(617\) \(661\)
\(\chi(n)\) \(e\left(\frac{1}{5}\right)\) \(1\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.809017 0.587785i −0.572061 0.415627i
\(3\) −0.347506 + 1.06951i −0.200633 + 0.617485i 0.799232 + 0.601023i \(0.205240\pi\)
−0.999865 + 0.0164615i \(0.994760\pi\)
\(4\) 0.309017 + 0.951057i 0.154508 + 0.475528i
\(5\) 0.809017 0.587785i 0.361803 0.262866i
\(6\) 0.909784 0.660997i 0.371418 0.269851i
\(7\) −0.309017 0.951057i −0.116797 0.359466i
\(8\) 0.309017 0.951057i 0.109254 0.336249i
\(9\) 1.40395 + 1.02003i 0.467983 + 0.340010i
\(10\) −1.00000 −0.316228
\(11\) −2.21655 2.46717i −0.668315 0.743878i
\(12\) −1.12455 −0.324631
\(13\) −5.71931 4.15532i −1.58625 1.15248i −0.909056 0.416675i \(-0.863195\pi\)
−0.677195 0.735804i \(-0.736805\pi\)
\(14\) −0.309017 + 0.951057i −0.0825883 + 0.254181i
\(15\) 0.347506 + 1.06951i 0.0897258 + 0.276148i
\(16\) −0.809017 + 0.587785i −0.202254 + 0.146946i
\(17\) −2.78688 + 2.02478i −0.675917 + 0.491082i −0.872001 0.489505i \(-0.837178\pi\)
0.196084 + 0.980587i \(0.437178\pi\)
\(18\) −0.536261 1.65044i −0.126398 0.389013i
\(19\) 1.06183 3.26798i 0.243601 0.749726i −0.752263 0.658863i \(-0.771038\pi\)
0.995863 0.0908627i \(-0.0289624\pi\)
\(20\) 0.809017 + 0.587785i 0.180902 + 0.131433i
\(21\) 1.12455 0.245398
\(22\) 0.343063 + 3.29883i 0.0731413 + 0.703314i
\(23\) 3.63913 0.758812 0.379406 0.925230i \(-0.376128\pi\)
0.379406 + 0.925230i \(0.376128\pi\)
\(24\) 0.909784 + 0.660997i 0.185709 + 0.134925i
\(25\) 0.309017 0.951057i 0.0618034 0.190211i
\(26\) 2.18458 + 6.72345i 0.428432 + 1.31858i
\(27\) −4.30817 + 3.13007i −0.829108 + 0.602382i
\(28\) 0.809017 0.587785i 0.152890 0.111081i
\(29\) −2.68628 8.26751i −0.498829 1.53524i −0.810903 0.585181i \(-0.801023\pi\)
0.312073 0.950058i \(-0.398977\pi\)
\(30\) 0.347506 1.06951i 0.0634457 0.195266i
\(31\) 3.65793 + 2.65764i 0.656983 + 0.477326i 0.865643 0.500662i \(-0.166910\pi\)
−0.208660 + 0.977988i \(0.566910\pi\)
\(32\) 1.00000 0.176777
\(33\) 3.40894 1.51328i 0.593420 0.263428i
\(34\) 3.44477 0.590773
\(35\) −0.809017 0.587785i −0.136749 0.0993538i
\(36\) −0.536261 + 1.65044i −0.0893768 + 0.275074i
\(37\) −0.241211 0.742372i −0.0396549 0.122045i 0.929269 0.369403i \(-0.120438\pi\)
−0.968924 + 0.247358i \(0.920438\pi\)
\(38\) −2.77991 + 2.01972i −0.450961 + 0.327642i
\(39\) 6.43167 4.67288i 1.02989 0.748260i
\(40\) −0.309017 0.951057i −0.0488599 0.150375i
\(41\) −1.55091 + 4.77322i −0.242212 + 0.745451i 0.753871 + 0.657023i \(0.228185\pi\)
−0.996083 + 0.0884286i \(0.971815\pi\)
\(42\) −0.909784 0.660997i −0.140383 0.101994i
\(43\) −5.39500 −0.822729 −0.411365 0.911471i \(-0.634948\pi\)
−0.411365 + 0.911471i \(0.634948\pi\)
\(44\) 1.66146 2.87046i 0.250475 0.432738i
\(45\) 1.73538 0.258695
\(46\) −2.94412 2.13903i −0.434087 0.315383i
\(47\) 3.03694 9.34674i 0.442983 1.36336i −0.441697 0.897164i \(-0.645623\pi\)
0.884680 0.466198i \(-0.154377\pi\)
\(48\) −0.347506 1.06951i −0.0501582 0.154371i
\(49\) −0.809017 + 0.587785i −0.115574 + 0.0839693i
\(50\) −0.809017 + 0.587785i −0.114412 + 0.0831254i
\(51\) −1.19708 3.68423i −0.167625 0.515896i
\(52\) 2.18458 6.72345i 0.302947 0.932375i
\(53\) −9.19999 6.68419i −1.26372 0.918144i −0.264782 0.964308i \(-0.585300\pi\)
−0.998934 + 0.0461646i \(0.985300\pi\)
\(54\) 5.32519 0.724667
\(55\) −3.24339 0.693123i −0.437339 0.0934607i
\(56\) −1.00000 −0.133631
\(57\) 3.12616 + 2.27129i 0.414070 + 0.300839i
\(58\) −2.68628 + 8.26751i −0.352726 + 1.08558i
\(59\) −3.25231 10.0096i −0.423415 1.30314i −0.904504 0.426465i \(-0.859759\pi\)
0.481089 0.876671i \(-0.340241\pi\)
\(60\) −0.909784 + 0.660997i −0.117453 + 0.0853343i
\(61\) −0.369102 + 0.268168i −0.0472586 + 0.0343354i −0.611164 0.791504i \(-0.709298\pi\)
0.563905 + 0.825840i \(0.309298\pi\)
\(62\) −1.39720 4.30015i −0.177445 0.546120i
\(63\) 0.536261 1.65044i 0.0675625 0.207936i
\(64\) −0.809017 0.587785i −0.101127 0.0734732i
\(65\) −7.06945 −0.876858
\(66\) −3.64737 0.779455i −0.448960 0.0959443i
\(67\) 10.4937 1.28201 0.641006 0.767536i \(-0.278517\pi\)
0.641006 + 0.767536i \(0.278517\pi\)
\(68\) −2.78688 2.02478i −0.337958 0.245541i
\(69\) −1.26462 + 3.89211i −0.152243 + 0.468555i
\(70\) 0.309017 + 0.951057i 0.0369346 + 0.113673i
\(71\) 5.51245 4.00503i 0.654207 0.475309i −0.210494 0.977595i \(-0.567507\pi\)
0.864702 + 0.502286i \(0.167507\pi\)
\(72\) 1.40395 1.02003i 0.165457 0.120212i
\(73\) −4.67084 14.3754i −0.546680 1.68251i −0.716962 0.697112i \(-0.754468\pi\)
0.170282 0.985395i \(-0.445532\pi\)
\(74\) −0.241211 + 0.742372i −0.0280402 + 0.0862990i
\(75\) 0.909784 + 0.660997i 0.105053 + 0.0763253i
\(76\) 3.43616 0.394154
\(77\) −1.66146 + 2.87046i −0.189341 + 0.327119i
\(78\) −7.94999 −0.900159
\(79\) 13.1358 + 9.54373i 1.47790 + 1.07375i 0.978227 + 0.207537i \(0.0665447\pi\)
0.499668 + 0.866217i \(0.333455\pi\)
\(80\) −0.309017 + 0.951057i −0.0345492 + 0.106331i
\(81\) −0.241755 0.744045i −0.0268616 0.0826716i
\(82\) 4.06034 2.95001i 0.448390 0.325774i
\(83\) −5.98951 + 4.35163i −0.657434 + 0.477654i −0.865795 0.500398i \(-0.833187\pi\)
0.208361 + 0.978052i \(0.433187\pi\)
\(84\) 0.347506 + 1.06951i 0.0379161 + 0.116694i
\(85\) −1.06449 + 3.27617i −0.115460 + 0.355350i
\(86\) 4.36464 + 3.17110i 0.470652 + 0.341948i
\(87\) 9.77573 1.04807
\(88\) −3.03137 + 1.34567i −0.323145 + 0.143449i
\(89\) −4.97143 −0.526970 −0.263485 0.964663i \(-0.584872\pi\)
−0.263485 + 0.964663i \(0.584872\pi\)
\(90\) −1.40395 1.02003i −0.147989 0.107521i
\(91\) −2.18458 + 6.72345i −0.229006 + 0.704809i
\(92\) 1.12455 + 3.46102i 0.117243 + 0.360837i
\(93\) −4.11354 + 2.98866i −0.426554 + 0.309910i
\(94\) −7.95082 + 5.77661i −0.820064 + 0.595811i
\(95\) −1.06183 3.26798i −0.108942 0.335288i
\(96\) −0.347506 + 1.06951i −0.0354672 + 0.109157i
\(97\) −2.33800 1.69866i −0.237388 0.172472i 0.462731 0.886499i \(-0.346870\pi\)
−0.700119 + 0.714026i \(0.746870\pi\)
\(98\) 1.00000 0.101015
\(99\) −0.595344 5.72472i −0.0598343 0.575356i
\(100\) 1.00000 0.100000
\(101\) −9.89152 7.18661i −0.984243 0.715094i −0.0255899 0.999673i \(-0.508146\pi\)
−0.958653 + 0.284578i \(0.908146\pi\)
\(102\) −1.19708 + 3.68423i −0.118529 + 0.364793i
\(103\) 1.14532 + 3.52493i 0.112852 + 0.347322i 0.991493 0.130161i \(-0.0415493\pi\)
−0.878641 + 0.477483i \(0.841549\pi\)
\(104\) −5.71931 + 4.15532i −0.560824 + 0.407463i
\(105\) 0.909784 0.660997i 0.0887858 0.0645067i
\(106\) 3.51408 + 10.8152i 0.341318 + 1.05047i
\(107\) −0.881029 + 2.71153i −0.0851723 + 0.262133i −0.984568 0.175002i \(-0.944007\pi\)
0.899396 + 0.437135i \(0.144007\pi\)
\(108\) −4.30817 3.13007i −0.414554 0.301191i
\(109\) 9.80121 0.938786 0.469393 0.882989i \(-0.344473\pi\)
0.469393 + 0.882989i \(0.344473\pi\)
\(110\) 2.21655 + 2.46717i 0.211340 + 0.235235i
\(111\) 0.877800 0.0833171
\(112\) 0.809017 + 0.587785i 0.0764449 + 0.0555405i
\(113\) 3.33837 10.2745i 0.314048 0.966539i −0.662097 0.749418i \(-0.730333\pi\)
0.976145 0.217121i \(-0.0696667\pi\)
\(114\) −1.19409 3.67502i −0.111836 0.344197i
\(115\) 2.94412 2.13903i 0.274541 0.199466i
\(116\) 7.03277 5.10961i 0.652976 0.474415i
\(117\) −3.79107 11.6677i −0.350485 1.07868i
\(118\) −3.25231 + 10.0096i −0.299399 + 0.921457i
\(119\) 2.78688 + 2.02478i 0.255473 + 0.185612i
\(120\) 1.12455 0.102657
\(121\) −1.17381 + 10.9372i −0.106710 + 0.994290i
\(122\) 0.456235 0.0413055
\(123\) −4.56608 3.31745i −0.411709 0.299124i
\(124\) −1.39720 + 4.30015i −0.125473 + 0.386165i
\(125\) −0.309017 0.951057i −0.0276393 0.0850651i
\(126\) −1.40395 + 1.02003i −0.125074 + 0.0908714i
\(127\) −17.2005 + 12.4969i −1.52630 + 1.10892i −0.568042 + 0.822999i \(0.692299\pi\)
−0.958254 + 0.285919i \(0.907701\pi\)
\(128\) 0.309017 + 0.951057i 0.0273135 + 0.0840623i
\(129\) 1.87480 5.77003i 0.165067 0.508023i
\(130\) 5.71931 + 4.15532i 0.501616 + 0.364446i
\(131\) 10.2637 0.896747 0.448373 0.893846i \(-0.352003\pi\)
0.448373 + 0.893846i \(0.352003\pi\)
\(132\) 2.49263 + 2.77446i 0.216956 + 0.241486i
\(133\) −3.43616 −0.297953
\(134\) −8.48960 6.16805i −0.733389 0.532839i
\(135\) −1.64557 + 5.06456i −0.141628 + 0.435888i
\(136\) 1.06449 + 3.27617i 0.0912794 + 0.280929i
\(137\) 0.615590 0.447252i 0.0525934 0.0382113i −0.561178 0.827695i \(-0.689652\pi\)
0.613771 + 0.789484i \(0.289652\pi\)
\(138\) 3.31083 2.40546i 0.281836 0.204766i
\(139\) 5.45036 + 16.7745i 0.462294 + 1.42279i 0.862355 + 0.506305i \(0.168989\pi\)
−0.400061 + 0.916489i \(0.631011\pi\)
\(140\) 0.309017 0.951057i 0.0261167 0.0803789i
\(141\) 8.94113 + 6.49611i 0.752979 + 0.547071i
\(142\) −6.81376 −0.571798
\(143\) 2.42527 + 23.3210i 0.202811 + 1.95020i
\(144\) −1.73538 −0.144615
\(145\) −7.03277 5.10961i −0.584040 0.424330i
\(146\) −4.67084 + 14.3754i −0.386561 + 1.18971i
\(147\) −0.347506 1.06951i −0.0286618 0.0882121i
\(148\) 0.631499 0.458811i 0.0519089 0.0377140i
\(149\) −0.629561 + 0.457403i −0.0515756 + 0.0374719i −0.613274 0.789870i \(-0.710148\pi\)
0.561699 + 0.827342i \(0.310148\pi\)
\(150\) −0.347506 1.06951i −0.0283738 0.0873255i
\(151\) 4.14558 12.7588i 0.337362 1.03829i −0.628184 0.778064i \(-0.716202\pi\)
0.965547 0.260230i \(-0.0837983\pi\)
\(152\) −2.77991 2.01972i −0.225480 0.163821i
\(153\) −5.97797 −0.483290
\(154\) 3.03137 1.34567i 0.244274 0.108437i
\(155\) 4.52145 0.363171
\(156\) 6.43167 + 4.67288i 0.514946 + 0.374130i
\(157\) −7.42757 + 22.8597i −0.592785 + 1.82440i −0.0273272 + 0.999627i \(0.508700\pi\)
−0.565458 + 0.824777i \(0.691300\pi\)
\(158\) −5.01744 15.4421i −0.399166 1.22851i
\(159\) 10.3459 7.51673i 0.820483 0.596116i
\(160\) 0.809017 0.587785i 0.0639584 0.0464685i
\(161\) −1.12455 3.46102i −0.0886273 0.272767i
\(162\) −0.241755 + 0.744045i −0.0189940 + 0.0584577i
\(163\) −0.732477 0.532176i −0.0573720 0.0416832i 0.558730 0.829350i \(-0.311289\pi\)
−0.616102 + 0.787667i \(0.711289\pi\)
\(164\) −5.01886 −0.391907
\(165\) 1.86840 3.22799i 0.145455 0.251299i
\(166\) 7.40344 0.574618
\(167\) 2.94548 + 2.14002i 0.227928 + 0.165600i 0.695888 0.718150i \(-0.255011\pi\)
−0.467960 + 0.883750i \(0.655011\pi\)
\(168\) 0.347506 1.06951i 0.0268107 0.0825149i
\(169\) 11.4266 + 35.1674i 0.878967 + 2.70518i
\(170\) 2.78688 2.02478i 0.213744 0.155294i
\(171\) 4.82419 3.50498i 0.368915 0.268033i
\(172\) −1.66715 5.13095i −0.127119 0.391231i
\(173\) −0.982471 + 3.02373i −0.0746959 + 0.229890i −0.981433 0.191807i \(-0.938565\pi\)
0.906737 + 0.421697i \(0.138565\pi\)
\(174\) −7.90873 5.74603i −0.599559 0.435605i
\(175\) −1.00000 −0.0755929
\(176\) 3.24339 + 0.693123i 0.244480 + 0.0522461i
\(177\) 11.8356 0.889618
\(178\) 4.02197 + 2.92213i 0.301459 + 0.219023i
\(179\) 1.38482 4.26203i 0.103506 0.318559i −0.885871 0.463932i \(-0.846438\pi\)
0.989377 + 0.145373i \(0.0464381\pi\)
\(180\) 0.536261 + 1.65044i 0.0399705 + 0.123017i
\(181\) 7.30491 5.30733i 0.542970 0.394491i −0.282217 0.959351i \(-0.591070\pi\)
0.825187 + 0.564860i \(0.191070\pi\)
\(182\) 5.71931 4.15532i 0.423943 0.308013i
\(183\) −0.158545 0.487950i −0.0117199 0.0360703i
\(184\) 1.12455 3.46102i 0.0829033 0.255150i
\(185\) −0.631499 0.458811i −0.0464288 0.0337325i
\(186\) 5.08461 0.372822
\(187\) 11.1727 + 2.38765i 0.817031 + 0.174602i
\(188\) 9.82775 0.716762
\(189\) 4.30817 + 3.13007i 0.313373 + 0.227679i
\(190\) −1.06183 + 3.26798i −0.0770333 + 0.237084i
\(191\) 0.898838 + 2.76634i 0.0650377 + 0.200165i 0.978295 0.207219i \(-0.0664411\pi\)
−0.913257 + 0.407384i \(0.866441\pi\)
\(192\) 0.909784 0.660997i 0.0656580 0.0477033i
\(193\) 6.28865 4.56897i 0.452667 0.328882i −0.337981 0.941153i \(-0.609744\pi\)
0.790648 + 0.612271i \(0.209744\pi\)
\(194\) 0.893036 + 2.74848i 0.0641163 + 0.197330i
\(195\) 2.45668 7.56089i 0.175927 0.541446i
\(196\) −0.809017 0.587785i −0.0577869 0.0419847i
\(197\) 26.2257 1.86851 0.934254 0.356609i \(-0.116067\pi\)
0.934254 + 0.356609i \(0.116067\pi\)
\(198\) −2.88326 + 4.98133i −0.204905 + 0.354008i
\(199\) 5.64963 0.400491 0.200246 0.979746i \(-0.435826\pi\)
0.200246 + 0.979746i \(0.435826\pi\)
\(200\) −0.809017 0.587785i −0.0572061 0.0415627i
\(201\) −3.64663 + 11.2232i −0.257214 + 0.791623i
\(202\) 3.77822 + 11.6282i 0.265835 + 0.818156i
\(203\) −7.03277 + 5.10961i −0.493604 + 0.358624i
\(204\) 3.13399 2.27698i 0.219423 0.159421i
\(205\) 1.55091 + 4.77322i 0.108320 + 0.333376i
\(206\) 1.14532 3.52493i 0.0797983 0.245594i
\(207\) 5.10916 + 3.71202i 0.355111 + 0.258003i
\(208\) 7.06945 0.490178
\(209\) −10.4162 + 4.62393i −0.720507 + 0.319844i
\(210\) −1.12455 −0.0776016
\(211\) −6.01078 4.36709i −0.413799 0.300643i 0.361339 0.932435i \(-0.382320\pi\)
−0.775138 + 0.631792i \(0.782320\pi\)
\(212\) 3.51408 10.8152i 0.241348 0.742794i
\(213\) 2.36783 + 7.28742i 0.162241 + 0.499326i
\(214\) 2.30656 1.67582i 0.157673 0.114556i
\(215\) −4.36464 + 3.17110i −0.297666 + 0.216267i
\(216\) 1.64557 + 5.06456i 0.111967 + 0.344599i
\(217\) 1.39720 4.30015i 0.0948483 0.291913i
\(218\) −7.92934 5.76101i −0.537043 0.390185i
\(219\) 16.9978 1.14860
\(220\) −0.343063 3.29883i −0.0231293 0.222407i
\(221\) 24.3526 1.63814
\(222\) −0.710155 0.515958i −0.0476625 0.0346288i
\(223\) 0.467132 1.43769i 0.0312815 0.0962745i −0.934197 0.356758i \(-0.883882\pi\)
0.965478 + 0.260484i \(0.0838820\pi\)
\(224\) −0.309017 0.951057i −0.0206471 0.0635451i
\(225\) 1.40395 1.02003i 0.0935966 0.0680019i
\(226\) −8.73997 + 6.34996i −0.581374 + 0.422393i
\(227\) 4.28167 + 13.1776i 0.284185 + 0.874630i 0.986642 + 0.162904i \(0.0520862\pi\)
−0.702457 + 0.711726i \(0.747914\pi\)
\(228\) −1.19409 + 3.67502i −0.0790803 + 0.243384i
\(229\) −16.6223 12.0768i −1.09844 0.798060i −0.117631 0.993057i \(-0.537530\pi\)
−0.980804 + 0.194998i \(0.937530\pi\)
\(230\) −3.63913 −0.239957
\(231\) −2.49263 2.77446i −0.164003 0.182546i
\(232\) −8.69298 −0.570722
\(233\) −13.1340 9.54242i −0.860438 0.625145i 0.0675664 0.997715i \(-0.478477\pi\)
−0.928004 + 0.372570i \(0.878477\pi\)
\(234\) −3.79107 + 11.6677i −0.247830 + 0.762743i
\(235\) −3.03694 9.34674i −0.198108 0.609714i
\(236\) 8.51466 6.18626i 0.554257 0.402691i
\(237\) −14.7719 + 10.7324i −0.959541 + 0.697147i
\(238\) −1.06449 3.27617i −0.0690008 0.212363i
\(239\) −0.121419 + 0.373690i −0.00785397 + 0.0241720i −0.954907 0.296906i \(-0.904045\pi\)
0.947053 + 0.321078i \(0.104045\pi\)
\(240\) −0.909784 0.660997i −0.0587263 0.0426671i
\(241\) −3.32681 −0.214298 −0.107149 0.994243i \(-0.534172\pi\)
−0.107149 + 0.994243i \(0.534172\pi\)
\(242\) 7.37835 8.15843i 0.474299 0.524443i
\(243\) −15.0958 −0.968395
\(244\) −0.369102 0.268168i −0.0236293 0.0171677i
\(245\) −0.309017 + 0.951057i −0.0197424 + 0.0607608i
\(246\) 1.74409 + 5.36774i 0.111199 + 0.342235i
\(247\) −19.6524 + 14.2783i −1.25045 + 0.908509i
\(248\) 3.65793 2.65764i 0.232279 0.168760i
\(249\) −2.57274 7.91809i −0.163041 0.501789i
\(250\) −0.309017 + 0.951057i −0.0195440 + 0.0601501i
\(251\) −13.9762 10.1543i −0.882169 0.640934i 0.0516551 0.998665i \(-0.483550\pi\)
−0.933825 + 0.357731i \(0.883550\pi\)
\(252\) 1.73538 0.109318
\(253\) −8.06632 8.97835i −0.507126 0.564464i
\(254\) 21.2610 1.33403
\(255\) −3.13399 2.27698i −0.196258 0.142590i
\(256\) 0.309017 0.951057i 0.0193136 0.0594410i
\(257\) −0.138608 0.426591i −0.00864613 0.0266100i 0.946640 0.322292i \(-0.104453\pi\)
−0.955287 + 0.295682i \(0.904453\pi\)
\(258\) −4.90828 + 3.56607i −0.305576 + 0.222014i
\(259\) −0.631499 + 0.458811i −0.0392395 + 0.0285091i
\(260\) −2.18458 6.72345i −0.135482 0.416971i
\(261\) 4.66171 14.3473i 0.288552 0.888073i
\(262\) −8.30354 6.03287i −0.512994 0.372712i
\(263\) 26.1440 1.61211 0.806053 0.591843i \(-0.201600\pi\)
0.806053 + 0.591843i \(0.201600\pi\)
\(264\) −0.385793 3.70972i −0.0237439 0.228317i
\(265\) −11.3718 −0.698565
\(266\) 2.77991 + 2.01972i 0.170447 + 0.123837i
\(267\) 1.72760 5.31701i 0.105728 0.325396i
\(268\) 3.24274 + 9.98012i 0.198082 + 0.609633i
\(269\) −11.4570 + 8.32403i −0.698549 + 0.507525i −0.879459 0.475974i \(-0.842096\pi\)
0.180911 + 0.983500i \(0.442096\pi\)
\(270\) 4.30817 3.13007i 0.262187 0.190490i
\(271\) −0.288687 0.888488i −0.0175365 0.0539718i 0.941905 0.335878i \(-0.109033\pi\)
−0.959442 + 0.281907i \(0.909033\pi\)
\(272\) 1.06449 3.27617i 0.0645443 0.198647i
\(273\) −6.43167 4.67288i −0.389263 0.282816i
\(274\) −0.760911 −0.0459683
\(275\) −3.03137 + 1.34567i −0.182798 + 0.0811469i
\(276\) −4.09241 −0.246334
\(277\) 20.4882 + 14.8856i 1.23102 + 0.894388i 0.996966 0.0778361i \(-0.0248011\pi\)
0.234053 + 0.972224i \(0.424801\pi\)
\(278\) 5.45036 16.7745i 0.326891 1.00607i
\(279\) 2.42467 + 7.46238i 0.145161 + 0.446761i
\(280\) −0.809017 + 0.587785i −0.0483480 + 0.0351269i
\(281\) −22.4728 + 16.3274i −1.34061 + 0.974013i −0.341193 + 0.939993i \(0.610831\pi\)
−0.999421 + 0.0340199i \(0.989169\pi\)
\(282\) −3.41521 10.5109i −0.203373 0.625916i
\(283\) −6.03056 + 18.5601i −0.358479 + 1.10329i 0.595485 + 0.803366i \(0.296960\pi\)
−0.953964 + 0.299920i \(0.903040\pi\)
\(284\) 5.51245 + 4.00503i 0.327104 + 0.237655i
\(285\) 3.86415 0.228892
\(286\) 11.7456 20.2926i 0.694534 1.19993i
\(287\) 5.01886 0.296254
\(288\) 1.40395 + 1.02003i 0.0827285 + 0.0601058i
\(289\) −1.58636 + 4.88231i −0.0933153 + 0.287195i
\(290\) 2.68628 + 8.26751i 0.157744 + 0.485485i
\(291\) 2.62921 1.91023i 0.154127 0.111980i
\(292\) 12.2284 8.88446i 0.715613 0.519923i
\(293\) −4.12553 12.6971i −0.241016 0.741772i −0.996266 0.0863347i \(-0.972485\pi\)
0.755250 0.655437i \(-0.227515\pi\)
\(294\) −0.347506 + 1.06951i −0.0202670 + 0.0623754i
\(295\) −8.51466 6.18626i −0.495743 0.360178i
\(296\) −0.780576 −0.0453701
\(297\) 17.2717 + 3.69101i 1.00220 + 0.214174i
\(298\) 0.778180 0.0450788
\(299\) −20.8133 15.1218i −1.20367 0.874515i
\(300\) −0.347506 + 1.06951i −0.0200633 + 0.0617485i
\(301\) 1.66715 + 5.13095i 0.0960926 + 0.295743i
\(302\) −10.8533 + 7.88536i −0.624535 + 0.453751i
\(303\) 11.1235 8.08173i 0.639031 0.464283i
\(304\) 1.06183 + 3.26798i 0.0609002 + 0.187431i
\(305\) −0.140984 + 0.433905i −0.00807274 + 0.0248453i
\(306\) 4.83628 + 3.51376i 0.276472 + 0.200869i
\(307\) 25.7848 1.47162 0.735809 0.677189i \(-0.236802\pi\)
0.735809 + 0.677189i \(0.236802\pi\)
\(308\) −3.24339 0.693123i −0.184809 0.0394944i
\(309\) −4.16798 −0.237108
\(310\) −3.65793 2.65764i −0.207756 0.150944i
\(311\) 1.58074 4.86503i 0.0896358 0.275871i −0.896183 0.443685i \(-0.853671\pi\)
0.985819 + 0.167814i \(0.0536709\pi\)
\(312\) −2.45668 7.56089i −0.139082 0.428051i
\(313\) −13.3949 + 9.73200i −0.757127 + 0.550085i −0.898028 0.439939i \(-0.855000\pi\)
0.140901 + 0.990024i \(0.455000\pi\)
\(314\) 19.4456 14.1281i 1.09738 0.797294i
\(315\) −0.536261 1.65044i −0.0302149 0.0929919i
\(316\) −5.01744 + 15.4421i −0.282253 + 0.868685i
\(317\) −12.4184 9.02252i −0.697488 0.506755i 0.181625 0.983368i \(-0.441864\pi\)
−0.879113 + 0.476613i \(0.841864\pi\)
\(318\) −12.7882 −0.717128
\(319\) −14.4431 + 24.9529i −0.808656 + 1.39709i
\(320\) −1.00000 −0.0559017
\(321\) −2.59386 1.88455i −0.144775 0.105185i
\(322\) −1.12455 + 3.46102i −0.0626690 + 0.192875i
\(323\) 3.65776 + 11.2574i 0.203523 + 0.626380i
\(324\) 0.632922 0.459845i 0.0351623 0.0255469i
\(325\) −5.71931 + 4.15532i −0.317250 + 0.230496i
\(326\) 0.279781 + 0.861078i 0.0154957 + 0.0476907i
\(327\) −3.40598 + 10.4825i −0.188351 + 0.579686i
\(328\) 4.06034 + 2.95001i 0.224195 + 0.162887i
\(329\) −9.82775 −0.541821
\(330\) −3.40894 + 1.51328i −0.187656 + 0.0833032i
\(331\) −6.59151 −0.362302 −0.181151 0.983455i \(-0.557982\pi\)
−0.181151 + 0.983455i \(0.557982\pi\)
\(332\) −5.98951 4.35163i −0.328717 0.238827i
\(333\) 0.418593 1.28830i 0.0229387 0.0705981i
\(334\) −1.12507 3.46262i −0.0615613 0.189466i
\(335\) 8.48960 6.16805i 0.463836 0.336997i
\(336\) −0.909784 + 0.660997i −0.0496328 + 0.0360603i
\(337\) −5.91912 18.2172i −0.322435 0.992352i −0.972585 0.232547i \(-0.925294\pi\)
0.650150 0.759806i \(-0.274706\pi\)
\(338\) 11.4266 35.1674i 0.621524 1.91285i
\(339\) 9.82858 + 7.14088i 0.533815 + 0.387839i
\(340\) −3.44477 −0.186819
\(341\) −1.55114 14.9155i −0.0839990 0.807720i
\(342\) −5.96303 −0.322444
\(343\) 0.809017 + 0.587785i 0.0436828 + 0.0317374i
\(344\) −1.66715 + 5.13095i −0.0898864 + 0.276642i
\(345\) 1.26462 + 3.89211i 0.0680850 + 0.209544i
\(346\) 2.57214 1.86877i 0.138279 0.100466i
\(347\) 7.28330 5.29163i 0.390988 0.284069i −0.374872 0.927076i \(-0.622313\pi\)
0.765860 + 0.643007i \(0.222313\pi\)
\(348\) 3.02087 + 9.29727i 0.161935 + 0.498386i
\(349\) −2.07932 + 6.39948i −0.111303 + 0.342556i −0.991158 0.132686i \(-0.957640\pi\)
0.879855 + 0.475243i \(0.157640\pi\)
\(350\) 0.809017 + 0.587785i 0.0432438 + 0.0314184i
\(351\) 37.6462 2.00940
\(352\) −2.21655 2.46717i −0.118143 0.131500i
\(353\) −29.9182 −1.59238 −0.796192 0.605044i \(-0.793156\pi\)
−0.796192 + 0.605044i \(0.793156\pi\)
\(354\) −9.57520 6.95679i −0.508916 0.369749i
\(355\) 2.10557 6.48027i 0.111752 0.343937i
\(356\) −1.53626 4.72811i −0.0814214 0.250589i
\(357\) −3.13399 + 2.27698i −0.165869 + 0.120511i
\(358\) −3.62550 + 2.63408i −0.191614 + 0.139216i
\(359\) −7.28112 22.4090i −0.384283 1.18270i −0.936999 0.349331i \(-0.886409\pi\)
0.552717 0.833369i \(-0.313591\pi\)
\(360\) 0.536261 1.65044i 0.0282634 0.0869859i
\(361\) 5.81912 + 4.22784i 0.306269 + 0.222518i
\(362\) −9.02937 −0.474573
\(363\) −11.2896 5.05615i −0.592549 0.265379i
\(364\) −7.06945 −0.370540
\(365\) −12.2284 8.88446i −0.640064 0.465034i
\(366\) −0.158545 + 0.487950i −0.00828725 + 0.0255055i
\(367\) −3.14266 9.67211i −0.164045 0.504880i 0.834919 0.550372i \(-0.185514\pi\)
−0.998965 + 0.0454926i \(0.985514\pi\)
\(368\) −2.94412 + 2.13903i −0.153473 + 0.111505i
\(369\) −7.04622 + 5.11938i −0.366812 + 0.266504i
\(370\) 0.241211 + 0.742372i 0.0125400 + 0.0385941i
\(371\) −3.51408 + 10.8152i −0.182442 + 0.561499i
\(372\) −4.11354 2.98866i −0.213277 0.154955i
\(373\) 10.7767 0.557996 0.278998 0.960292i \(-0.409998\pi\)
0.278998 + 0.960292i \(0.409998\pi\)
\(374\) −7.63550 8.49881i −0.394822 0.439463i
\(375\) 1.12455 0.0580717
\(376\) −7.95082 5.77661i −0.410032 0.297906i
\(377\) −18.9905 + 58.4468i −0.978062 + 3.01016i
\(378\) −1.64557 5.06456i −0.0846392 0.260493i
\(379\) 4.36825 3.17372i 0.224382 0.163023i −0.469915 0.882712i \(-0.655715\pi\)
0.694297 + 0.719689i \(0.255715\pi\)
\(380\) 2.77991 2.01972i 0.142606 0.103610i
\(381\) −7.38832 22.7389i −0.378515 1.16495i
\(382\) 0.898838 2.76634i 0.0459886 0.141538i
\(383\) −5.80474 4.21739i −0.296608 0.215498i 0.429521 0.903057i \(-0.358682\pi\)
−0.726129 + 0.687559i \(0.758682\pi\)
\(384\) −1.12455 −0.0573872
\(385\) 0.343063 + 3.29883i 0.0174841 + 0.168124i
\(386\) −7.77320 −0.395646
\(387\) −7.57430 5.50305i −0.385023 0.279736i
\(388\) 0.893036 2.74848i 0.0453370 0.139533i
\(389\) 5.11076 + 15.7293i 0.259126 + 0.797507i 0.992989 + 0.118210i \(0.0377154\pi\)
−0.733863 + 0.679298i \(0.762285\pi\)
\(390\) −6.43167 + 4.67288i −0.325680 + 0.236621i
\(391\) −10.1418 + 7.36846i −0.512894 + 0.372639i
\(392\) 0.309017 + 0.951057i 0.0156077 + 0.0480356i
\(393\) −3.56672 + 10.9772i −0.179917 + 0.553728i
\(394\) −21.2171 15.4151i −1.06890 0.776602i
\(395\) 16.2368 0.816960
\(396\) 5.26056 2.33524i 0.264353 0.117350i
\(397\) 16.7413 0.840221 0.420111 0.907473i \(-0.361991\pi\)
0.420111 + 0.907473i \(0.361991\pi\)
\(398\) −4.57064 3.32077i −0.229106 0.166455i
\(399\) 1.19409 3.67502i 0.0597791 0.183981i
\(400\) 0.309017 + 0.951057i 0.0154508 + 0.0475528i
\(401\) 16.4564 11.9563i 0.821793 0.597067i −0.0954328 0.995436i \(-0.530424\pi\)
0.917225 + 0.398369i \(0.130424\pi\)
\(402\) 9.54701 6.93631i 0.476162 0.345952i
\(403\) −9.87746 30.3997i −0.492032 1.51432i
\(404\) 3.77822 11.6282i 0.187974 0.578523i
\(405\) −0.632922 0.459845i −0.0314502 0.0228499i
\(406\) 8.69298 0.431425
\(407\) −1.29690 + 2.24061i −0.0642848 + 0.111063i
\(408\) −3.87383 −0.191783
\(409\) 0.358871 + 0.260735i 0.0177450 + 0.0128925i 0.596622 0.802522i \(-0.296509\pi\)
−0.578877 + 0.815415i \(0.696509\pi\)
\(410\) 1.55091 4.77322i 0.0765941 0.235732i
\(411\) 0.264421 + 0.813805i 0.0130429 + 0.0401421i
\(412\) −2.99849 + 2.17853i −0.147725 + 0.107328i
\(413\) −8.51466 + 6.18626i −0.418979 + 0.304406i
\(414\) −1.95153 6.00618i −0.0959123 0.295188i
\(415\) −2.28779 + 7.04109i −0.112303 + 0.345634i
\(416\) −5.71931 4.15532i −0.280412 0.203731i
\(417\) −19.8346 −0.971305
\(418\) 11.1448 + 2.38168i 0.545110 + 0.116492i
\(419\) −18.6545 −0.911330 −0.455665 0.890151i \(-0.650599\pi\)
−0.455665 + 0.890151i \(0.650599\pi\)
\(420\) 0.909784 + 0.660997i 0.0443929 + 0.0322533i
\(421\) 3.79213 11.6710i 0.184817 0.568808i −0.815128 0.579281i \(-0.803333\pi\)
0.999945 + 0.0104723i \(0.00333350\pi\)
\(422\) 2.29591 + 7.06609i 0.111763 + 0.343972i
\(423\) 13.7977 10.0246i 0.670865 0.487412i
\(424\) −9.19999 + 6.68419i −0.446791 + 0.324613i
\(425\) 1.06449 + 3.27617i 0.0516354 + 0.158918i
\(426\) 2.36783 7.28742i 0.114722 0.353077i
\(427\) 0.369102 + 0.268168i 0.0178621 + 0.0129776i
\(428\) −2.85107 −0.137812
\(429\) −25.7849 5.51032i −1.24491 0.266041i
\(430\) 5.39500 0.260170
\(431\) −17.7818 12.9192i −0.856520 0.622298i 0.0704163 0.997518i \(-0.477567\pi\)
−0.926936 + 0.375220i \(0.877567\pi\)
\(432\) 1.64557 5.06456i 0.0791727 0.243669i
\(433\) 6.87085 + 21.1463i 0.330192 + 1.01623i 0.969042 + 0.246896i \(0.0794104\pi\)
−0.638850 + 0.769331i \(0.720590\pi\)
\(434\) −3.65793 + 2.65764i −0.175586 + 0.127571i
\(435\) 7.90873 5.74603i 0.379195 0.275501i
\(436\) 3.02874 + 9.32150i 0.145050 + 0.446419i
\(437\) 3.86415 11.8926i 0.184847 0.568901i
\(438\) −13.7515 9.99106i −0.657072 0.477391i
\(439\) −11.0302 −0.526444 −0.263222 0.964735i \(-0.584785\pi\)
−0.263222 + 0.964735i \(0.584785\pi\)
\(440\) −1.66146 + 2.87046i −0.0792071 + 0.136844i
\(441\) −1.73538 −0.0826370
\(442\) −19.7017 14.3141i −0.937114 0.680853i
\(443\) 9.53943 29.3593i 0.453232 1.39490i −0.419967 0.907540i \(-0.637958\pi\)
0.873199 0.487365i \(-0.162042\pi\)
\(444\) 0.271255 + 0.834838i 0.0128732 + 0.0396196i
\(445\) −4.02197 + 2.92213i −0.190660 + 0.138522i
\(446\) −1.22297 + 0.888538i −0.0579092 + 0.0420735i
\(447\) −0.270423 0.832275i −0.0127905 0.0393653i
\(448\) −0.309017 + 0.951057i −0.0145997 + 0.0449332i
\(449\) 11.3224 + 8.22619i 0.534336 + 0.388218i 0.821977 0.569521i \(-0.192871\pi\)
−0.287641 + 0.957738i \(0.592871\pi\)
\(450\) −1.73538 −0.0818065
\(451\) 15.2140 6.75372i 0.716399 0.318020i
\(452\) 10.8032 0.508140
\(453\) 12.2051 + 8.86751i 0.573445 + 0.416632i
\(454\) 4.28167 13.1776i 0.200949 0.618457i
\(455\) 2.18458 + 6.72345i 0.102415 + 0.315200i
\(456\) 3.12616 2.27129i 0.146396 0.106363i
\(457\) 5.71598 4.15290i 0.267382 0.194264i −0.446013 0.895026i \(-0.647157\pi\)
0.713395 + 0.700762i \(0.247157\pi\)
\(458\) 6.34917 + 19.5407i 0.296677 + 0.913078i
\(459\) 5.66862 17.4462i 0.264589 0.814320i
\(460\) 2.94412 + 2.13903i 0.137270 + 0.0997328i
\(461\) 10.6011 0.493744 0.246872 0.969048i \(-0.420597\pi\)
0.246872 + 0.969048i \(0.420597\pi\)
\(462\) 0.385793 + 3.70972i 0.0179487 + 0.172592i
\(463\) 4.59137 0.213379 0.106690 0.994292i \(-0.465975\pi\)
0.106690 + 0.994292i \(0.465975\pi\)
\(464\) 7.03277 + 5.10961i 0.326488 + 0.237207i
\(465\) −1.57123 + 4.83575i −0.0728641 + 0.224253i
\(466\) 5.01675 + 15.4400i 0.232396 + 0.715242i
\(467\) 25.0219 18.1795i 1.15787 0.841245i 0.168367 0.985724i \(-0.446151\pi\)
0.989508 + 0.144479i \(0.0461507\pi\)
\(468\) 9.92516 7.21105i 0.458790 0.333331i
\(469\) −3.24274 9.98012i −0.149736 0.460839i
\(470\) −3.03694 + 9.34674i −0.140084 + 0.431133i
\(471\) −21.8677 15.8878i −1.00761 0.732071i
\(472\) −10.5247 −0.484438
\(473\) 11.9583 + 13.3103i 0.549842 + 0.612010i
\(474\) 18.2591 0.838670
\(475\) −2.77991 2.01972i −0.127551 0.0926712i
\(476\) −1.06449 + 3.27617i −0.0487909 + 0.150163i
\(477\) −6.09826 18.7685i −0.279220 0.859352i
\(478\) 0.317880 0.230953i 0.0145395 0.0105636i
\(479\) −2.43807 + 1.77136i −0.111398 + 0.0809357i −0.642090 0.766629i \(-0.721932\pi\)
0.530691 + 0.847565i \(0.321932\pi\)
\(480\) 0.347506 + 1.06951i 0.0158614 + 0.0488165i
\(481\) −1.70523 + 5.24816i −0.0777519 + 0.239296i
\(482\) 2.69144 + 1.95545i 0.122592 + 0.0890682i
\(483\) 4.09241 0.186211
\(484\) −10.7646 + 2.26342i −0.489301 + 0.102883i
\(485\) −2.88993 −0.131225
\(486\) 12.2128 + 8.87308i 0.553982 + 0.402491i
\(487\) 0.928754 2.85841i 0.0420858 0.129527i −0.927806 0.373063i \(-0.878307\pi\)
0.969892 + 0.243536i \(0.0783075\pi\)
\(488\) 0.140984 + 0.433905i 0.00638206 + 0.0196420i
\(489\) 0.823710 0.598461i 0.0372495 0.0270633i
\(490\) 0.809017 0.587785i 0.0365477 0.0265534i
\(491\) 10.7143 + 32.9753i 0.483531 + 1.48815i 0.834098 + 0.551617i \(0.185989\pi\)
−0.350567 + 0.936538i \(0.614011\pi\)
\(492\) 1.74409 5.36774i 0.0786295 0.241997i
\(493\) 24.2263 + 17.6014i 1.09110 + 0.792728i
\(494\) 24.2918 1.09294
\(495\) −3.84655 4.28146i −0.172890 0.192437i
\(496\) −4.52145 −0.203019
\(497\) −5.51245 4.00503i −0.247267 0.179650i
\(498\) −2.57274 + 7.91809i −0.115287 + 0.354818i
\(499\) −1.62301 4.99510i −0.0726558 0.223611i 0.908134 0.418680i \(-0.137507\pi\)
−0.980790 + 0.195069i \(0.937507\pi\)
\(500\) 0.809017 0.587785i 0.0361803 0.0262866i
\(501\) −3.31236 + 2.40657i −0.147985 + 0.107518i
\(502\) 5.33843 + 16.4300i 0.238266 + 0.733307i
\(503\) 10.3992 32.0054i 0.463677 1.42705i −0.396962 0.917835i \(-0.629936\pi\)
0.860639 0.509215i \(-0.170064\pi\)
\(504\) −1.40395 1.02003i −0.0625369 0.0454357i
\(505\) −12.2266 −0.544076
\(506\) 1.24845 + 12.0049i 0.0555005 + 0.533683i
\(507\) −41.5828 −1.84676
\(508\) −17.2005 12.4969i −0.763148 0.554459i
\(509\) −6.23081 + 19.1765i −0.276176 + 0.849982i 0.712730 + 0.701438i \(0.247458\pi\)
−0.988906 + 0.148543i \(0.952542\pi\)
\(510\) 1.19708 + 3.68423i 0.0530076 + 0.163141i
\(511\) −12.2284 + 8.88446i −0.540953 + 0.393025i
\(512\) −0.809017 + 0.587785i −0.0357538 + 0.0259767i
\(513\) 5.65445 + 17.4026i 0.249650 + 0.768344i
\(514\) −0.138608 + 0.426591i −0.00611373 + 0.0188161i
\(515\) 2.99849 + 2.17853i 0.132129 + 0.0959975i
\(516\) 6.06697 0.267083
\(517\) −29.7915 + 13.2249i −1.31023 + 0.581630i
\(518\) 0.780576 0.0342965
\(519\) −2.89251 2.10153i −0.126967 0.0922471i
\(520\) −2.18458 + 6.72345i −0.0958002 + 0.294843i
\(521\) −10.5375 32.4312i −0.461658 1.42084i −0.863137 0.504970i \(-0.831504\pi\)
0.401479 0.915868i \(-0.368496\pi\)
\(522\) −12.2045 + 8.86709i −0.534177 + 0.388102i
\(523\) 30.3943 22.0828i 1.32905 0.965612i 0.329279 0.944233i \(-0.393194\pi\)
0.999771 0.0213788i \(-0.00680559\pi\)
\(524\) 3.17167 + 9.76139i 0.138555 + 0.426428i
\(525\) 0.347506 1.06951i 0.0151664 0.0466775i
\(526\) −21.1509 15.3670i −0.922224 0.670035i
\(527\) −15.5753 −0.678472
\(528\) −1.86840 + 3.22799i −0.0813119 + 0.140480i
\(529\) −9.75670 −0.424204
\(530\) 9.19999 + 6.68419i 0.399622 + 0.290342i
\(531\) 5.64398 17.3704i 0.244928 0.753811i
\(532\) −1.06183 3.26798i −0.0460362 0.141685i
\(533\) 28.7044 20.8550i 1.24333 0.903329i
\(534\) −4.52292 + 3.28610i −0.195726 + 0.142203i
\(535\) 0.881029 + 2.71153i 0.0380902 + 0.117230i
\(536\) 3.24274 9.98012i 0.140065 0.431075i
\(537\) 4.07708 + 2.96217i 0.175939 + 0.127827i
\(538\) 14.1617 0.610554
\(539\) 3.24339 + 0.693123i 0.139703 + 0.0298549i
\(540\) −5.32519 −0.229160
\(541\) 18.3195 + 13.3099i 0.787616 + 0.572236i 0.907255 0.420581i \(-0.138174\pi\)
−0.119639 + 0.992817i \(0.538174\pi\)
\(542\) −0.288687 + 0.888488i −0.0124002 + 0.0381638i
\(543\) 3.13776 + 9.65705i 0.134654 + 0.414424i
\(544\) −2.78688 + 2.02478i −0.119486 + 0.0868119i
\(545\) 7.92934 5.76101i 0.339656 0.246774i
\(546\) 2.45668 + 7.56089i 0.105136 + 0.323576i
\(547\) 7.52934 23.1729i 0.321931 0.990803i −0.650875 0.759185i \(-0.725598\pi\)
0.972807 0.231619i \(-0.0744021\pi\)
\(548\) 0.615590 + 0.447252i 0.0262967 + 0.0191057i
\(549\) −0.791739 −0.0337906
\(550\) 3.24339 + 0.693123i 0.138299 + 0.0295549i
\(551\) −29.8704 −1.27252
\(552\) 3.31083 + 2.40546i 0.140918 + 0.102383i
\(553\) 5.01744 15.4421i 0.213363 0.656664i
\(554\) −7.82581 24.0854i −0.332487 1.02329i
\(555\) 0.710155 0.515958i 0.0301444 0.0219012i
\(556\) −14.2692 + 10.3672i −0.605150 + 0.439667i
\(557\) 7.77197 + 23.9197i 0.329309 + 1.01351i 0.969458 + 0.245258i \(0.0788727\pi\)
−0.640149 + 0.768251i \(0.721127\pi\)
\(558\) 2.42467 7.46238i 0.102645 0.315908i
\(559\) 30.8556 + 22.4179i 1.30505 + 0.948178i
\(560\) 1.00000 0.0422577
\(561\) −6.43622 + 11.1197i −0.271738 + 0.469473i
\(562\) 27.7779 1.17174
\(563\) 16.3399 + 11.8716i 0.688645 + 0.500330i 0.876214 0.481922i \(-0.160061\pi\)
−0.187570 + 0.982251i \(0.560061\pi\)
\(564\) −3.41521 + 10.5109i −0.143806 + 0.442590i
\(565\) −3.33837 10.2745i −0.140446 0.432250i
\(566\) 15.7882 11.4708i 0.663628 0.482154i
\(567\) −0.632922 + 0.459845i −0.0265802 + 0.0193117i
\(568\) −2.10557 6.48027i −0.0883477 0.271906i
\(569\) 8.00175 24.6269i 0.335451 1.03241i −0.631049 0.775743i \(-0.717375\pi\)
0.966500 0.256668i \(-0.0826248\pi\)
\(570\) −3.12616 2.27129i −0.130940 0.0951338i
\(571\) 22.4564 0.939771 0.469885 0.882727i \(-0.344295\pi\)
0.469885 + 0.882727i \(0.344295\pi\)
\(572\) −21.4301 + 9.51314i −0.896037 + 0.397764i
\(573\) −3.27099 −0.136648
\(574\) −4.06034 2.95001i −0.169475 0.123131i
\(575\) 1.12455 3.46102i 0.0468972 0.144335i
\(576\) −0.536261 1.65044i −0.0223442 0.0687684i
\(577\) 27.3915 19.9011i 1.14032 0.828493i 0.153159 0.988202i \(-0.451055\pi\)
0.987164 + 0.159709i \(0.0510555\pi\)
\(578\) 4.15315 3.01744i 0.172748 0.125509i
\(579\) 2.70124 + 8.31356i 0.112260 + 0.345500i
\(580\) 2.68628 8.26751i 0.111542 0.343290i
\(581\) 5.98951 + 4.35163i 0.248487 + 0.180536i
\(582\) −3.24988 −0.134712
\(583\) 3.90125 + 37.5137i 0.161573 + 1.55366i
\(584\) −15.1151 −0.625469
\(585\) −9.92516 7.21105i −0.410355 0.298140i
\(586\) −4.12553 + 12.6971i −0.170424 + 0.524512i
\(587\) 8.82383 + 27.1570i 0.364198 + 1.12089i 0.950481 + 0.310781i \(0.100591\pi\)
−0.586283 + 0.810106i \(0.699409\pi\)
\(588\) 0.909784 0.660997i 0.0375188 0.0272590i
\(589\) 12.5692 9.13206i 0.517905 0.376280i
\(590\) 3.25231 + 10.0096i 0.133895 + 0.412088i
\(591\) −9.11362 + 28.0488i −0.374884 + 1.15377i
\(592\) 0.631499 + 0.458811i 0.0259545 + 0.0188570i
\(593\) 34.9417 1.43488 0.717442 0.696618i \(-0.245313\pi\)
0.717442 + 0.696618i \(0.245313\pi\)
\(594\) −11.8036 13.1381i −0.484306 0.539064i
\(595\) 3.44477 0.141222
\(596\) −0.629561 0.457403i −0.0257878 0.0187359i
\(597\) −1.96328 + 6.04236i −0.0803518 + 0.247297i
\(598\) 7.94999 + 24.4675i 0.325099 + 1.00055i
\(599\) 25.1312 18.2589i 1.02683 0.746039i 0.0591616 0.998248i \(-0.481157\pi\)
0.967673 + 0.252210i \(0.0811573\pi\)
\(600\) 0.909784 0.660997i 0.0371418 0.0269851i
\(601\) −13.3681 41.1429i −0.545298 1.67825i −0.720281 0.693683i \(-0.755987\pi\)
0.174983 0.984571i \(-0.444013\pi\)
\(602\) 1.66715 5.13095i 0.0679478 0.209122i
\(603\) 14.7326 + 10.7039i 0.599960 + 0.435896i
\(604\) 13.4154 0.545864
\(605\) 5.47909 + 9.53832i 0.222757 + 0.387788i
\(606\) −13.7495 −0.558534
\(607\) 26.7795 + 19.4565i 1.08695 + 0.789714i 0.978881 0.204430i \(-0.0655340\pi\)
0.108067 + 0.994144i \(0.465534\pi\)
\(608\) 1.06183 3.26798i 0.0430629 0.132534i
\(609\) −3.02087 9.29727i −0.122412 0.376744i
\(610\) 0.369102 0.268168i 0.0149445 0.0108578i
\(611\) −56.2079 + 40.8374i −2.27393 + 1.65211i
\(612\) −1.84730 5.68539i −0.0746725 0.229818i
\(613\) −5.26159 + 16.1935i −0.212514 + 0.654049i 0.786807 + 0.617199i \(0.211733\pi\)
−0.999321 + 0.0368507i \(0.988267\pi\)
\(614\) −20.8604 15.1559i −0.841856 0.611644i
\(615\) −5.64398 −0.227587
\(616\) 2.21655 + 2.46717i 0.0893074 + 0.0994049i
\(617\) 3.82168 0.153855 0.0769276 0.997037i \(-0.475489\pi\)
0.0769276 + 0.997037i \(0.475489\pi\)
\(618\) 3.37196 + 2.44987i 0.135640 + 0.0985484i
\(619\) −8.79419 + 27.0657i −0.353468 + 1.08786i 0.603424 + 0.797421i \(0.293803\pi\)
−0.956892 + 0.290443i \(0.906197\pi\)
\(620\) 1.39720 + 4.30015i 0.0561130 + 0.172698i
\(621\) −15.6780 + 11.3907i −0.629137 + 0.457095i
\(622\) −4.13844 + 3.00676i −0.165936 + 0.120560i
\(623\) 1.53626 + 4.72811i 0.0615488 + 0.189428i
\(624\) −2.45668 + 7.56089i −0.0983459 + 0.302678i
\(625\) −0.809017 0.587785i −0.0323607 0.0235114i
\(626\) 16.5571 0.661753
\(627\) −1.32565 12.7472i −0.0529412 0.509073i
\(628\) −24.0361 −0.959146
\(629\) 2.17537 + 1.58050i 0.0867376 + 0.0630186i
\(630\) −0.536261 + 1.65044i −0.0213652 + 0.0657552i
\(631\) 2.75267 + 8.47185i 0.109582 + 0.337259i 0.990779 0.135491i \(-0.0432612\pi\)
−0.881196 + 0.472750i \(0.843261\pi\)
\(632\) 13.1358 9.54373i 0.522515 0.379629i
\(633\) 6.75945 4.91103i 0.268664 0.195196i
\(634\) 4.74342 + 14.5987i 0.188385 + 0.579790i
\(635\) −6.57000 + 20.2204i −0.260722 + 0.802421i
\(636\) 10.3459 + 7.51673i 0.410241 + 0.298058i
\(637\) 7.06945 0.280102
\(638\) 26.3516 11.6979i 1.04327 0.463123i
\(639\) 11.8244 0.467768
\(640\) 0.809017 + 0.587785i 0.0319792 + 0.0232343i
\(641\) 8.72200 26.8436i 0.344498 1.06026i −0.617353 0.786686i \(-0.711795\pi\)
0.961852 0.273571i \(-0.0882049\pi\)
\(642\) 0.990765 + 3.04926i 0.0391024 + 0.120345i
\(643\) −22.4478 + 16.3093i −0.885255 + 0.643175i −0.934636 0.355605i \(-0.884275\pi\)
0.0493818 + 0.998780i \(0.484275\pi\)
\(644\) 2.94412 2.13903i 0.116015 0.0842896i
\(645\) −1.87480 5.77003i −0.0738200 0.227195i
\(646\) 3.65776 11.2574i 0.143913 0.442918i
\(647\) −21.0894 15.3223i −0.829110 0.602383i 0.0901976 0.995924i \(-0.471250\pi\)
−0.919307 + 0.393540i \(0.871250\pi\)
\(648\) −0.782335 −0.0307330
\(649\) −17.4864 + 30.2107i −0.686401 + 1.18587i
\(650\) 7.06945 0.277287
\(651\) 4.11354 + 2.98866i 0.161222 + 0.117135i
\(652\) 0.279781 0.861078i 0.0109571 0.0337224i
\(653\) 3.35513 + 10.3260i 0.131296 + 0.404088i 0.994996 0.0999191i \(-0.0318584\pi\)
−0.863699 + 0.504008i \(0.831858\pi\)
\(654\) 8.91698 6.47857i 0.348682 0.253332i
\(655\) 8.30354 6.03287i 0.324446 0.235724i
\(656\) −1.55091 4.77322i −0.0605530 0.186363i
\(657\) 8.10566 24.9467i 0.316232 0.973262i
\(658\) 7.95082 + 5.77661i 0.309955 + 0.225196i
\(659\) −8.76914 −0.341597 −0.170799 0.985306i \(-0.554635\pi\)
−0.170799 + 0.985306i \(0.554635\pi\)
\(660\) 3.64737 + 0.779455i 0.141974 + 0.0303402i
\(661\) −18.7665 −0.729934 −0.364967 0.931020i \(-0.618920\pi\)
−0.364967 + 0.931020i \(0.618920\pi\)
\(662\) 5.33265 + 3.87439i 0.207259 + 0.150583i
\(663\) −8.46270 + 26.0455i −0.328664 + 1.01152i
\(664\) 2.28779 + 7.04109i 0.0887834 + 0.273247i
\(665\) −2.77991 + 2.01972i −0.107800 + 0.0783215i
\(666\) −1.09589 + 0.796210i −0.0424649 + 0.0308525i
\(667\) −9.77573 30.0866i −0.378518 1.16496i
\(668\) −1.12507 + 3.46262i −0.0435304 + 0.133973i
\(669\) 1.37529 + 0.999210i 0.0531720 + 0.0386317i
\(670\) −10.4937 −0.405408
\(671\) 1.47975 + 0.316227i 0.0571250 + 0.0122078i
\(672\) 1.12455 0.0433806
\(673\) −10.5371 7.65567i −0.406176 0.295104i 0.365876 0.930664i \(-0.380770\pi\)
−0.772052 + 0.635559i \(0.780770\pi\)
\(674\) −5.91912 + 18.2172i −0.227996 + 0.701699i
\(675\) 1.64557 + 5.06456i 0.0633382 + 0.194935i
\(676\) −29.9152 + 21.7346i −1.15058 + 0.835948i
\(677\) 8.15524 5.92513i 0.313431 0.227721i −0.419936 0.907554i \(-0.637948\pi\)
0.733367 + 0.679832i \(0.237948\pi\)
\(678\) −3.75418 11.5542i −0.144178 0.443736i
\(679\) −0.893036 + 2.74848i −0.0342716 + 0.105477i
\(680\) 2.78688 + 2.02478i 0.106872 + 0.0776469i
\(681\) −15.5816 −0.597087
\(682\) −7.51221 + 12.9786i −0.287657 + 0.496977i
\(683\) −8.98900 −0.343955 −0.171977 0.985101i \(-0.555016\pi\)
−0.171977 + 0.985101i \(0.555016\pi\)
\(684\) 4.82419 + 3.50498i 0.184458 + 0.134016i
\(685\) 0.235134 0.723669i 0.00898402 0.0276500i
\(686\) −0.309017 0.951057i −0.0117983 0.0363115i
\(687\) 18.6927 13.5811i 0.713172 0.518150i
\(688\) 4.36464 3.17110i 0.166400 0.120897i
\(689\) 24.8427 + 76.4578i 0.946430 + 2.91281i
\(690\) 1.26462 3.89211i 0.0481434 0.148170i
\(691\) −36.8731 26.7899i −1.40272 1.01914i −0.994331 0.106329i \(-0.966090\pi\)
−0.408390 0.912808i \(-0.633910\pi\)
\(692\) −3.17934 −0.120860
\(693\) −5.26056 + 2.33524i −0.199832 + 0.0887085i
\(694\) −9.00265 −0.341736
\(695\) 14.2692 + 10.3672i 0.541263 + 0.393250i
\(696\) 3.02087 9.29727i 0.114506 0.352412i
\(697\) −5.34254 16.4426i −0.202363 0.622809i
\(698\) 5.44372 3.95509i 0.206048 0.149703i
\(699\) 14.7699 10.7310i 0.558649 0.405883i
\(700\) −0.309017 0.951057i −0.0116797 0.0359466i
\(701\) 3.67718 11.3172i 0.138885 0.427445i −0.857289 0.514836i \(-0.827853\pi\)
0.996174 + 0.0873909i \(0.0278529\pi\)
\(702\) −30.4564 22.1279i −1.14950 0.835163i
\(703\) −2.68218 −0.101160
\(704\) 0.343063 + 3.29883i 0.0129297 + 0.124329i
\(705\) 11.0518 0.416236
\(706\) 24.2043 + 17.5855i 0.910941 + 0.661838i
\(707\) −3.77822 + 11.6282i −0.142095 + 0.437323i
\(708\) 3.65740 + 11.2563i 0.137453 + 0.423038i
\(709\) 41.4256 30.0974i 1.55577 1.13033i 0.616397 0.787436i \(-0.288592\pi\)
0.939373 0.342897i \(-0.111408\pi\)
\(710\) −5.51245 + 4.00503i −0.206879 + 0.150306i
\(711\) 8.70715 + 26.7978i 0.326543 + 1.00500i
\(712\) −1.53626 + 4.72811i −0.0575736 + 0.177193i
\(713\) 13.3117 + 9.67151i 0.498527 + 0.362201i
\(714\) 3.87383 0.144974
\(715\) 15.6698 + 17.4415i 0.586017 + 0.652276i
\(716\) 4.48137 0.167477
\(717\) −0.357473 0.259720i −0.0133501 0.00969941i
\(718\) −7.28112 + 22.4090i −0.271729 + 0.836295i
\(719\) −8.61102 26.5020i −0.321137 0.988357i −0.973154 0.230154i \(-0.926077\pi\)
0.652018 0.758204i \(-0.273923\pi\)
\(720\) −1.40395 + 1.02003i −0.0523221 + 0.0380142i
\(721\) 2.99849 2.17853i 0.111670 0.0811327i
\(722\) −2.22271 6.84078i −0.0827205 0.254588i
\(723\) 1.15609 3.55807i 0.0429953 0.132326i
\(724\) 7.30491 + 5.30733i 0.271485 + 0.197245i
\(725\) −8.69298 −0.322849
\(726\) 6.16153 + 10.7264i 0.228676 + 0.398093i
\(727\) 41.3933 1.53519 0.767597 0.640933i \(-0.221453\pi\)
0.767597 + 0.640933i \(0.221453\pi\)
\(728\) 5.71931 + 4.15532i 0.211972 + 0.154006i
\(729\) 5.97115 18.3773i 0.221154 0.680641i
\(730\) 4.67084 + 14.3754i 0.172875 + 0.532056i
\(731\) 15.0352 10.9237i 0.556096 0.404028i
\(732\) 0.415075 0.301570i 0.0153416 0.0111463i
\(733\) −1.80755 5.56306i −0.0667633 0.205476i 0.912109 0.409947i \(-0.134453\pi\)
−0.978873 + 0.204470i \(0.934453\pi\)
\(734\) −3.14266 + 9.67211i −0.115998 + 0.357004i
\(735\) −0.909784 0.660997i −0.0335579 0.0243812i
\(736\) 3.63913 0.134140
\(737\) −23.2598 25.8897i −0.856788 0.953661i
\(738\) 8.70961 0.320605
\(739\) −39.2795 28.5382i −1.44492 1.04979i −0.986986 0.160808i \(-0.948590\pi\)
−0.457933 0.888987i \(-0.651410\pi\)
\(740\) 0.241211 0.742372i 0.00886710 0.0272901i
\(741\) −8.44154 25.9804i −0.310108 0.954413i
\(742\) 9.19999 6.68419i 0.337742 0.245384i
\(743\) −27.3921 + 19.9015i −1.00492 + 0.730115i −0.963137 0.269011i \(-0.913303\pi\)
−0.0417807 + 0.999127i \(0.513303\pi\)
\(744\) 1.57123 + 4.83575i 0.0576041 + 0.177287i
\(745\) −0.240471 + 0.740093i −0.00881017 + 0.0271149i
\(746\) −8.71852 6.33438i −0.319208 0.231918i
\(747\) −12.8478 −0.470075
\(748\) 1.18177 + 11.3637i 0.0432099 + 0.415499i
\(749\) 2.85107 0.104176
\(750\) −0.909784 0.660997i −0.0332206 0.0241362i
\(751\) 10.7866 33.1976i 0.393608 1.21140i −0.536433 0.843943i \(-0.680229\pi\)
0.930041 0.367457i \(-0.119771\pi\)
\(752\) 3.03694 + 9.34674i 0.110746 + 0.340841i
\(753\) 15.7170 11.4191i 0.572759 0.416134i
\(754\) 49.7178 36.1221i 1.81062 1.31549i
\(755\) −4.14558 12.7588i −0.150873 0.464339i
\(756\) −1.64557 + 5.06456i −0.0598490 + 0.184196i
\(757\) 15.1572 + 11.0124i 0.550899 + 0.400251i 0.828117 0.560556i \(-0.189412\pi\)
−0.277218 + 0.960807i \(0.589412\pi\)
\(758\) −5.39945 −0.196117
\(759\) 12.4056 5.50702i 0.450294 0.199892i
\(760\) −3.43616 −0.124643
\(761\) 21.5708 + 15.6721i 0.781940 + 0.568113i 0.905561 0.424217i \(-0.139451\pi\)
−0.123620 + 0.992330i \(0.539451\pi\)
\(762\) −7.38832 + 22.7389i −0.267651 + 0.823744i
\(763\) −3.02874 9.32150i −0.109648 0.337461i
\(764\) −2.35319 + 1.70969i −0.0851354 + 0.0618545i
\(765\) −4.83628 + 3.51376i −0.174856 + 0.127040i
\(766\) 2.21721 + 6.82388i 0.0801111 + 0.246557i
\(767\) −22.9921 + 70.7623i −0.830195 + 2.55508i
\(768\) 0.909784 + 0.660997i 0.0328290 + 0.0238517i
\(769\) −38.2777 −1.38033 −0.690165 0.723652i \(-0.742462\pi\)
−0.690165 + 0.723652i \(0.742462\pi\)
\(770\) 1.66146 2.87046i 0.0598749 0.103444i
\(771\) 0.504413 0.0181660
\(772\) 6.28865 + 4.56897i 0.226334 + 0.164441i
\(773\) 2.32453 7.15415i 0.0836074 0.257317i −0.900510 0.434835i \(-0.856807\pi\)
0.984118 + 0.177518i \(0.0568068\pi\)
\(774\) 2.89313 + 8.90412i