Properties

Label 770.2.n.k.421.2
Level $770$
Weight $2$
Character 770.421
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 421.2
Root \(0.347506 - 1.06951i\) of defining polynomial
Character \(\chi\) \(=\) 770.421
Dual form 770.2.n.k.631.2

$q$-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 \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).

\(n\) \(211\) \(617\) \(661\)
\(\chi(n)\) \(e\left(\frac{4}{5}\right)\) \(1\) \(1\)

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 −0.999865 0.0164615i \(-0.994760\pi\)
0.799232 0.601023i \(-0.205240\pi\)
\(4\) 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 −0.677195 + 0.735804i \(0.736805\pi\)
−0.909056 + 0.416675i \(0.863195\pi\)
\(14\) −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 0.196084 0.980587i \(-0.437178\pi\)
−0.872001 + 0.489505i \(0.837178\pi\)
\(18\) −0.536261 + 1.65044i −0.126398 + 0.389013i
\(19\) 1.06183 + 3.26798i 0.243601 + 0.749726i 0.995863 + 0.0908627i \(0.0289624\pi\)
−0.752263 + 0.658863i \(0.771038\pi\)
\(20\) 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 0.312073 + 0.950058i \(0.398977\pi\)
−0.810903 + 0.585181i \(0.801023\pi\)
\(30\) 0.347506 + 1.06951i 0.0634457 + 0.195266i
\(31\) 3.65793 2.65764i 0.656983 0.477326i −0.208660 0.977988i \(-0.566910\pi\)
0.865643 + 0.500662i \(0.166910\pi\)
\(32\) 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 −0.968924 0.247358i \(-0.920438\pi\)
0.929269 + 0.369403i \(0.120438\pi\)
\(38\) −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 −0.996083 0.0884286i \(-0.971815\pi\)
0.753871 0.657023i \(-0.228185\pi\)
\(42\) −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 0.884680 + 0.466198i \(0.154377\pi\)
−0.441697 + 0.897164i \(0.645623\pi\)
\(48\) −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 −0.998934 0.0461646i \(-0.985300\pi\)
−0.264782 + 0.964308i \(0.585300\pi\)
\(54\) 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 0.481089 + 0.876671i \(0.340241\pi\)
−0.904504 + 0.426465i \(0.859759\pi\)
\(60\) −0.909784 0.660997i −0.117453 0.0853343i
\(61\) −0.369102 0.268168i −0.0472586 0.0343354i 0.563905 0.825840i \(-0.309298\pi\)
−0.611164 + 0.791504i \(0.709298\pi\)
\(62\) −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 0.864702 0.502286i \(-0.167507\pi\)
−0.210494 + 0.977595i \(0.567507\pi\)
\(72\) 1.40395 + 1.02003i 0.165457 + 0.120212i
\(73\) −4.67084 + 14.3754i −0.546680 + 1.68251i 0.170282 + 0.985395i \(0.445532\pi\)
−0.716962 + 0.697112i \(0.754468\pi\)
\(74\) −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 0.499668 0.866217i \(-0.333455\pi\)
0.978227 0.207537i \(-0.0665447\pi\)
\(80\) −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 0.208361 0.978052i \(-0.433187\pi\)
−0.865795 + 0.500398i \(0.833187\pi\)
\(84\) 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 −0.700119 0.714026i \(-0.746870\pi\)
0.462731 + 0.886499i \(0.346870\pi\)
\(98\) 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 −0.958653 0.284578i \(-0.908146\pi\)
−0.0255899 + 0.999673i \(0.508146\pi\)
\(102\) −1.19708 3.68423i −0.118529 0.364793i
\(103\) 1.14532 3.52493i 0.112852 0.347322i −0.878641 0.477483i \(-0.841549\pi\)
0.991493 + 0.130161i \(0.0415493\pi\)
\(104\) −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 0.899396 0.437135i \(-0.144007\pi\)
−0.984568 + 0.175002i \(0.944007\pi\)
\(108\) −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 0.976145 + 0.217121i \(0.0696667\pi\)
−0.662097 + 0.749418i \(0.730333\pi\)
\(114\) −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 −0.958254 0.285919i \(-0.907701\pi\)
−0.568042 0.822999i \(-0.692299\pi\)
\(128\) 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 0.613771 0.789484i \(-0.289652\pi\)
−0.561178 + 0.827695i \(0.689652\pi\)
\(138\) 3.31083 + 2.40546i 0.281836 + 0.204766i
\(139\) 5.45036 16.7745i 0.462294 1.42279i −0.400061 0.916489i \(-0.631011\pi\)
0.862355 0.506305i \(-0.168989\pi\)
\(140\) 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 0.561699 0.827342i \(-0.310148\pi\)
−0.613274 + 0.789870i \(0.710148\pi\)
\(150\) −0.347506 + 1.06951i −0.0283738 + 0.0873255i
\(151\) 4.14558 + 12.7588i 0.337362 + 1.03829i 0.965547 + 0.260230i \(0.0837983\pi\)
−0.628184 + 0.778064i \(0.716202\pi\)
\(152\) −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 −0.565458 0.824777i \(-0.691300\pi\)
−0.0273272 0.999627i \(-0.508700\pi\)
\(158\) −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 −0.616102 0.787667i \(-0.711289\pi\)
0.558730 + 0.829350i \(0.311289\pi\)
\(164\) −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 −0.467960 0.883750i \(-0.655011\pi\)
0.695888 + 0.718150i \(0.255011\pi\)
\(168\) 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 0.906737 0.421697i \(-0.138565\pi\)
−0.981433 + 0.191807i \(0.938565\pi\)
\(174\) −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 0.989377 0.145373i \(-0.0464381\pi\)
−0.885871 + 0.463932i \(0.846438\pi\)
\(180\) 0.536261 1.65044i 0.0399705 0.123017i
\(181\) 7.30491 + 5.30733i 0.542970 + 0.394491i 0.825187 0.564860i \(-0.191070\pi\)
−0.282217 + 0.959351i \(0.591070\pi\)
\(182\) 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 −0.913257 0.407384i \(-0.866441\pi\)
0.978295 + 0.207219i \(0.0664411\pi\)
\(192\) 0.909784 + 0.660997i 0.0656580 + 0.0477033i
\(193\) 6.28865 + 4.56897i 0.452667 + 0.328882i 0.790648 0.612271i \(-0.209744\pi\)
−0.337981 + 0.941153i \(0.609744\pi\)
\(194\) 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 −0.775138 0.631792i \(-0.782320\pi\)
0.361339 + 0.932435i \(0.382320\pi\)
\(212\) 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 0.965478 0.260484i \(-0.0838820\pi\)
−0.934197 + 0.356758i \(0.883882\pi\)
\(224\) −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 −0.702457 0.711726i \(-0.747914\pi\)
0.986642 0.162904i \(-0.0520862\pi\)
\(228\) −1.19409 3.67502i −0.0790803 0.243384i
\(229\) −16.6223 + 12.0768i −1.09844 + 0.798060i −0.980804 0.194998i \(-0.937530\pi\)
−0.117631 + 0.993057i \(0.537530\pi\)
\(230\) −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 −0.928004 0.372570i \(-0.878477\pi\)
0.0675664 + 0.997715i \(0.478477\pi\)
\(234\) −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 0.947053 0.321078i \(-0.104045\pi\)
−0.954907 + 0.296906i \(0.904045\pi\)
\(240\) −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 −0.933825 0.357731i \(-0.883550\pi\)
0.0516551 + 0.998665i \(0.483550\pi\)
\(252\) 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 −0.955287 0.295682i \(-0.904453\pi\)
0.946640 + 0.322292i \(0.104453\pi\)
\(258\) −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 0.180911 0.983500i \(-0.442096\pi\)
−0.879459 + 0.475974i \(0.842096\pi\)
\(270\) 4.30817 + 3.13007i 0.262187 + 0.190490i
\(271\) −0.288687 + 0.888488i −0.0175365 + 0.0539718i −0.959442 0.281907i \(-0.909033\pi\)
0.941905 + 0.335878i \(0.109033\pi\)
\(272\) 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 0.234053 0.972224i \(-0.424801\pi\)
0.996966 + 0.0778361i \(0.0248011\pi\)
\(278\) 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 −0.999421 0.0340199i \(-0.989169\pi\)
−0.341193 0.939993i \(-0.610831\pi\)
\(282\) −3.41521 + 10.5109i −0.203373 + 0.625916i
\(283\) −6.03056 18.5601i −0.358479 1.10329i −0.953964 0.299920i \(-0.903040\pi\)
0.595485 0.803366i \(-0.296960\pi\)
\(284\) 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 0.755250 + 0.655437i \(0.227515\pi\)
−0.996266 + 0.0863347i \(0.972485\pi\)
\(294\) −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 0.985819 0.167814i \(-0.0536709\pi\)
−0.896183 + 0.443685i \(0.853671\pi\)
\(312\) −2.45668 + 7.56089i −0.139082 + 0.428051i
\(313\) −13.3949 9.73200i −0.757127 0.550085i 0.140901 0.990024i \(-0.455000\pi\)
−0.898028 + 0.439939i \(0.855000\pi\)
\(314\) 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 −0.879113 0.476613i \(-0.841864\pi\)
0.181625 + 0.983368i \(0.441864\pi\)
\(318\) −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 0.650150 + 0.759806i \(0.274706\pi\)
−0.972585 + 0.232547i \(0.925294\pi\)
\(338\) 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 0.765860 0.643007i \(-0.222313\pi\)
−0.374872 + 0.927076i \(0.622313\pi\)
\(348\) 3.02087 9.29727i 0.161935 0.498386i
\(349\) −2.07932 6.39948i −0.111303 0.342556i 0.879855 0.475243i \(-0.157640\pi\)
−0.991158 + 0.132686i \(0.957640\pi\)
\(350\) 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 0.552717 + 0.833369i \(0.313591\pi\)
−0.936999 + 0.349331i \(0.886409\pi\)
\(360\) 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 −0.998965 0.0454926i \(-0.985514\pi\)
0.834919 + 0.550372i \(0.185514\pi\)
\(368\) −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 0.694297 0.719689i \(-0.255715\pi\)
−0.469915 + 0.882712i \(0.655715\pi\)
\(380\) 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 −0.726129 0.687559i \(-0.758682\pi\)
0.429521 + 0.903057i \(0.358682\pi\)
\(384\) −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 −0.733863 0.679298i \(-0.762285\pi\)
0.992989 0.118210i \(-0.0377154\pi\)
\(390\) −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 0.917225 0.398369i \(-0.130424\pi\)
−0.0954328 + 0.995436i \(0.530424\pi\)
\(402\) 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 −0.578877 0.815415i \(-0.696509\pi\)
0.596622 + 0.802522i \(0.296509\pi\)
\(410\) 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 0.999945 0.0104723i \(-0.00333350\pi\)
−0.815128 + 0.579281i \(0.803333\pi\)
\(422\) 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 −0.926936 0.375220i \(-0.877567\pi\)
0.0704163 + 0.997518i \(0.477567\pi\)
\(432\) 1.64557 + 5.06456i 0.0791727 + 0.243669i
\(433\) 6.87085 21.1463i 0.330192 1.01623i −0.638850 0.769331i \(-0.720590\pi\)
0.969042 0.246896i \(-0.0794104\pi\)
\(434\) −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 0.873199 + 0.487365i \(0.162042\pi\)
−0.419967 + 0.907540i \(0.637958\pi\)
\(444\) 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 −0.287641 0.957738i \(-0.592871\pi\)
0.821977 + 0.569521i \(0.192871\pi\)
\(450\) −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 0.713395 0.700762i \(-0.247157\pi\)
−0.446013 + 0.895026i \(0.647157\pi\)
\(458\) 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 0.989508 0.144479i \(-0.0461507\pi\)
0.168367 + 0.985724i \(0.446151\pi\)
\(468\) 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 0.530691 0.847565i \(-0.321932\pi\)
−0.642090 + 0.766629i \(0.721932\pi\)
\(480\) 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 0.969892 0.243536i \(-0.0783075\pi\)
−0.927806 + 0.373063i \(0.878307\pi\)
\(488\) 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 −0.350567 0.936538i \(-0.614011\pi\)
0.834098 0.551617i \(-0.185989\pi\)
\(492\) 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 −0.980790 0.195069i \(-0.937507\pi\)
0.908134 + 0.418680i \(0.137507\pi\)
\(500\) 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 0.860639 + 0.509215i \(0.170064\pi\)
−0.396962 + 0.917835i \(0.629936\pi\)
\(504\) −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 −0.988906 0.148543i \(-0.952542\pi\)
0.712730 0.701438i \(-0.247458\pi\)
\(510\) 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 0.401479 + 0.915868i \(0.368496\pi\)
−0.863137 + 0.504970i \(0.831504\pi\)
\(522\) −12.2045 8.86709i −0.534177 0.388102i
\(523\) 30.3943 + 22.0828i 1.32905 + 0.965612i 0.999771 + 0.0213788i \(0.00680559\pi\)
0.329279 + 0.944233i \(0.393194\pi\)
\(524\) 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 −0.119639 0.992817i \(-0.538174\pi\)
0.907255 + 0.420581i \(0.138174\pi\)
\(542\) −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 0.972807 + 0.231619i \(0.0744021\pi\)
−0.650875 + 0.759185i \(0.725598\pi\)
\(548\) 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 −0.640149 0.768251i \(-0.721127\pi\)
0.969458 0.245258i \(-0.0788727\pi\)
\(558\) 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 −0.187570 0.982251i \(-0.560061\pi\)
0.876214 + 0.481922i \(0.160061\pi\)
\(564\) −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 0.966500 + 0.256668i \(0.0826248\pi\)
−0.631049 + 0.775743i \(0.717375\pi\)
\(570\) −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 0.987164 0.159709i \(-0.0510555\pi\)
0.153159 + 0.988202i \(0.451055\pi\)
\(578\) 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 −0.586283 0.810106i \(-0.699409\pi\)
0.950481 0.310781i \(-0.100591\pi\)
\(588\) 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 0.967673 0.252210i \(-0.0811573\pi\)
0.0591616 + 0.998248i \(0.481157\pi\)
\(600\) 0.909784 + 0.660997i 0.0371418 + 0.0269851i
\(601\) −13.3681 + 41.1429i −0.545298 + 1.67825i 0.174983 + 0.984571i \(0.444013\pi\)
−0.720281 + 0.693683i \(0.755987\pi\)
\(602\) 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 0.108067 0.994144i \(-0.465534\pi\)
0.978881 + 0.204430i \(0.0655340\pi\)
\(608\) 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 −0.999321 0.0368507i \(-0.988267\pi\)
0.786807 0.617199i \(-0.211733\pi\)
\(614\) −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 −0.956892 0.290443i \(-0.906197\pi\)
0.603424 0.797421i \(-0.293803\pi\)
\(620\) 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 −0.881196 0.472750i \(-0.843261\pi\)
0.990779 + 0.135491i \(0.0432612\pi\)
\(632\) 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 0.961852 + 0.273571i \(0.0882049\pi\)
−0.617353 + 0.786686i \(0.711795\pi\)
\(642\) 0.990765 3.04926i 0.0391024 0.120345i
\(643\) −22.4478 16.3093i −0.885255 0.643175i 0.0493818 0.998780i \(-0.484275\pi\)
−0.934636 + 0.355605i \(0.884275\pi\)
\(644\) 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 −0.919307 0.393540i \(-0.871250\pi\)
0.0901976 + 0.995924i \(0.471250\pi\)
\(648\) −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 −0.863699 0.504008i \(-0.831858\pi\)
0.994996 + 0.0999191i \(0.0318584\pi\)
\(654\) 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 −0.772052 0.635559i \(-0.780770\pi\)
0.365876 + 0.930664i \(0.380770\pi\)
\(674\) −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 0.733367 0.679832i \(-0.237948\pi\)
−0.419936 + 0.907554i \(0.637948\pi\)
\(678\) −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 −0.408390 + 0.912808i \(0.633910\pi\)
−0.994331 + 0.106329i \(0.966090\pi\)
\(692\) −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 0.996174 0.0873909i \(-0.0278529\pi\)
−0.857289 + 0.514836i \(0.827853\pi\)
\(702\) −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 0.939373 + 0.342897i \(0.111408\pi\)
0.616397 + 0.787436i \(0.288592\pi\)
\(710\) −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 0.652018 + 0.758204i \(0.273923\pi\)
−0.973154 + 0.230154i \(0.926077\pi\)
\(720\) −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 −0.978873 0.204470i \(-0.934453\pi\)
0.912109 + 0.409947i \(0.134453\pi\)
\(734\) −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 −0.457933 + 0.888987i \(0.651410\pi\)
−0.986986 + 0.160808i \(0.948590\pi\)
\(740\) 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 −0.0417807 0.999127i \(-0.513303\pi\)
−0.963137 + 0.269011i \(0.913303\pi\)
\(744\) 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 0.930041 + 0.367457i \(0.119771\pi\)
−0.536433 + 0.843943i \(0.680229\pi\)
\(752\) 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 −0.277218 0.960807i \(-0.589412\pi\)
0.828117 + 0.560556i \(0.189412\pi\)
\(758\) −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 −0.123620 0.992330i \(-0.539451\pi\)
0.905561 + 0.424217i \(0.139451\pi\)
\(762\) −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 0.984118 0.177518i \(-0.0568068\pi\)
−0.900510 + 0.434835i \(0.856807\pi\)
\(774\) 2.89313 8.90412i 0.103991 0.320052