Properties

Label 403.2.bl.b.16.2
Level 403
Weight 2
Character 403.16
Analytic conductor 3.218
Analytic rank 0
Dimension 280
CM No

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Newspace parameters

Level: \( N \) = \( 403 = 13 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 403.bl (of order \(15\) and degree \(8\))

Newform invariants

Self dual: No
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(280\)
Relative dimension: \(35\) over \(\Q(\zeta_{15})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 16.2
Character \(\chi\) = 403.16
Dual form 403.2.bl.b.126.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.39574 - 1.06665i) q^{2} +(-0.206334 + 1.96314i) q^{3} +(3.26354 + 3.62453i) q^{4} +1.57328 q^{5} +(2.58831 - 4.48308i) q^{6} +(-2.63168 - 2.92278i) q^{7} +(-2.33171 - 7.17627i) q^{8} +(-0.876907 - 0.186392i) q^{9} +O(q^{10})\) \(q+(-2.39574 - 1.06665i) q^{2} +(-0.206334 + 1.96314i) q^{3} +(3.26354 + 3.62453i) q^{4} +1.57328 q^{5} +(2.58831 - 4.48308i) q^{6} +(-2.63168 - 2.92278i) q^{7} +(-2.33171 - 7.17627i) q^{8} +(-0.876907 - 0.186392i) q^{9} +(-3.76916 - 1.67814i) q^{10} +(-1.71673 + 0.364902i) q^{11} +(-7.78885 + 5.65893i) q^{12} +(-2.82309 - 2.24280i) q^{13} +(3.18723 + 9.80929i) q^{14} +(-0.324622 + 3.08857i) q^{15} +(-1.04877 + 9.97841i) q^{16} +(0.480691 + 0.102174i) q^{17} +(1.90202 + 1.38190i) q^{18} +(-0.652164 - 6.20493i) q^{19} +(5.13447 + 5.70241i) q^{20} +(6.28083 - 4.56329i) q^{21} +(4.50206 + 0.956941i) q^{22} +(5.24738 - 5.82781i) q^{23} +(14.5691 - 3.09677i) q^{24} -2.52479 q^{25} +(4.37109 + 8.38441i) q^{26} +(-1.28311 + 3.94900i) q^{27} +(2.00510 - 19.0772i) q^{28} +(3.02882 + 1.34852i) q^{29} +(4.07213 - 7.05314i) q^{30} +(-5.54975 + 0.447564i) q^{31} +(5.61048 - 9.71764i) q^{32} +(-0.362134 - 3.44548i) q^{33} +(-1.04263 - 0.757512i) q^{34} +(-4.14037 - 4.59835i) q^{35} +(-2.18624 - 3.78668i) q^{36} +(-1.36210 - 2.35923i) q^{37} +(-5.05607 + 15.5610i) q^{38} +(4.98544 - 5.07936i) q^{39} +(-3.66844 - 11.2903i) q^{40} +(7.76129 + 3.45555i) q^{41} +(-19.9147 + 4.23299i) q^{42} +(-0.708033 - 6.73648i) q^{43} +(-6.92523 - 5.03147i) q^{44} +(-1.37962 - 0.293247i) q^{45} +(-18.7876 + 8.36477i) q^{46} +(-3.01126 - 2.18781i) q^{47} +(-19.3726 - 4.11778i) q^{48} +(-0.885188 + 8.42200i) q^{49} +(6.04872 + 2.69307i) q^{50} +(-0.299765 + 0.922583i) q^{51} +(-1.08416 - 17.5519i) q^{52} +(-3.03900 - 9.35308i) q^{53} +(7.28618 - 8.09212i) q^{54} +(-2.70090 + 0.574094i) q^{55} +(-14.8383 + 25.7007i) q^{56} +12.3157 q^{57} +(-5.81785 - 6.46138i) q^{58} +(6.88493 - 3.06537i) q^{59} +(-12.2540 + 8.90309i) q^{60} +(5.89384 - 10.2084i) q^{61} +(13.7731 + 4.84739i) q^{62} +(1.76296 + 3.05353i) q^{63} +(-7.57221 + 5.50154i) q^{64} +(-4.44151 - 3.52856i) q^{65} +(-2.80754 + 8.64072i) q^{66} +(2.59259 + 4.49050i) q^{67} +(1.19842 + 2.07573i) q^{68} +(10.3581 + 11.5038i) q^{69} +(5.01441 + 15.4328i) q^{70} +(-7.15405 - 1.52064i) q^{71} +(0.707092 + 6.72753i) q^{72} +(0.530291 - 1.63207i) q^{73} +(0.746762 + 7.10497i) q^{74} +(0.520951 - 4.95652i) q^{75} +(20.3616 - 22.6138i) q^{76} +(5.58442 + 4.05732i) q^{77} +(-17.3617 + 6.85107i) q^{78} +(-1.65995 - 5.10879i) q^{79} +(-1.65001 + 15.6988i) q^{80} +(-9.94466 - 4.42765i) q^{81} +(-14.9081 - 16.5572i) q^{82} +(-7.55560 + 5.48946i) q^{83} +(37.0376 + 7.87258i) q^{84} +(0.756263 + 0.160749i) q^{85} +(-5.48921 + 16.8941i) q^{86} +(-3.27228 + 5.66775i) q^{87} +(6.62156 + 11.4689i) q^{88} +(1.35404 - 0.287810i) q^{89} +(2.99241 + 2.17412i) q^{90} +(0.874257 + 14.1536i) q^{91} +38.2482 q^{92} +(0.266473 - 10.9873i) q^{93} +(4.88055 + 8.45336i) q^{94} +(-1.02604 - 9.76209i) q^{95} +(17.9195 + 13.0193i) q^{96} +(3.19892 + 3.55276i) q^{97} +(11.1040 - 19.2327i) q^{98} +1.57343 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 280q + q^{2} + 39q^{4} - 8q^{5} - 2q^{7} + 12q^{8} + 29q^{9} + O(q^{10}) \) \( 280q + q^{2} + 39q^{4} - 8q^{5} - 2q^{7} + 12q^{8} + 29q^{9} - 21q^{10} - q^{11} - 16q^{12} - 54q^{14} - 27q^{15} + 31q^{16} + 2q^{17} - 10q^{18} + 5q^{19} - 3q^{20} + 68q^{21} - 39q^{22} - 7q^{23} + 48q^{24} + 200q^{25} + 6q^{26} - 78q^{27} + 30q^{28} - 16q^{29} - 66q^{30} - 62q^{31} - 56q^{32} - 20q^{33} - 126q^{34} - 37q^{35} - 140q^{36} - 36q^{37} + 4q^{38} + 28q^{39} - 158q^{40} - 4q^{41} + 16q^{42} - 16q^{43} + 42q^{44} - 46q^{45} - 29q^{46} + 8q^{47} - 36q^{48} + 43q^{49} - 5q^{50} - 134q^{51} - q^{52} + 8q^{53} + 44q^{54} - 55q^{55} - 42q^{56} + 140q^{57} + 38q^{58} - 23q^{59} + 38q^{60} + 40q^{61} + 19q^{62} - 146q^{63} - 68q^{64} + 2q^{65} + 6q^{66} + 46q^{67} + 86q^{68} - 32q^{69} - 4q^{70} + 60q^{71} + 73q^{72} - 12q^{73} - 44q^{74} + 16q^{75} - 70q^{76} + 10q^{77} - 142q^{78} + 134q^{79} - 72q^{80} - 18q^{81} + 28q^{82} - 88q^{83} + 81q^{84} - 69q^{85} + 188q^{86} - 28q^{87} + 42q^{88} + 12q^{89} + 22q^{90} + 67q^{91} - 324q^{92} - 25q^{93} - 62q^{94} + 16q^{95} + 276q^{96} + 16q^{97} + 76q^{98} - 60q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{5}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.39574 1.06665i −1.69404 0.754235i −0.999391 0.0348870i \(-0.988893\pi\)
−0.694649 0.719348i \(-0.744440\pi\)
\(3\) −0.206334 + 1.96314i −0.119127 + 1.13342i 0.757696 + 0.652608i \(0.226325\pi\)
−0.876823 + 0.480813i \(0.840342\pi\)
\(4\) 3.26354 + 3.62453i 1.63177 + 1.81227i
\(5\) 1.57328 0.703593 0.351796 0.936077i \(-0.385571\pi\)
0.351796 + 0.936077i \(0.385571\pi\)
\(6\) 2.58831 4.48308i 1.05667 1.83021i
\(7\) −2.63168 2.92278i −0.994682 1.10471i −0.994503 0.104707i \(-0.966610\pi\)
−0.000179220 1.00000i \(-0.500057\pi\)
\(8\) −2.33171 7.17627i −0.824384 2.53719i
\(9\) −0.876907 0.186392i −0.292302 0.0621308i
\(10\) −3.76916 1.67814i −1.19191 0.530674i
\(11\) −1.71673 + 0.364902i −0.517614 + 0.110022i −0.459309 0.888277i \(-0.651903\pi\)
−0.0583049 + 0.998299i \(0.518570\pi\)
\(12\) −7.78885 + 5.65893i −2.24845 + 1.63359i
\(13\) −2.82309 2.24280i −0.782984 0.622042i
\(14\) 3.18723 + 9.80929i 0.851823 + 2.62164i
\(15\) −0.324622 + 3.08857i −0.0838170 + 0.797466i
\(16\) −1.04877 + 9.97841i −0.262193 + 2.49460i
\(17\) 0.480691 + 0.102174i 0.116585 + 0.0247809i 0.265835 0.964019i \(-0.414353\pi\)
−0.149250 + 0.988800i \(0.547686\pi\)
\(18\) 1.90202 + 1.38190i 0.448311 + 0.325717i
\(19\) −0.652164 6.20493i −0.149617 1.42351i −0.769416 0.638747i \(-0.779453\pi\)
0.619800 0.784760i \(-0.287214\pi\)
\(20\) 5.13447 + 5.70241i 1.14810 + 1.27510i
\(21\) 6.28083 4.56329i 1.37059 0.995792i
\(22\) 4.50206 + 0.956941i 0.959841 + 0.204021i
\(23\) 5.24738 5.82781i 1.09416 1.21518i 0.119179 0.992873i \(-0.461974\pi\)
0.974976 0.222310i \(-0.0713596\pi\)
\(24\) 14.5691 3.09677i 2.97391 0.632125i
\(25\) −2.52479 −0.504958
\(26\) 4.37109 + 8.38441i 0.857241 + 1.64432i
\(27\) −1.28311 + 3.94900i −0.246934 + 0.759984i
\(28\) 2.00510 19.0772i 0.378928 3.60526i
\(29\) 3.02882 + 1.34852i 0.562437 + 0.250413i 0.668204 0.743978i \(-0.267063\pi\)
−0.105767 + 0.994391i \(0.533730\pi\)
\(30\) 4.07213 7.05314i 0.743467 1.28772i
\(31\) −5.54975 + 0.447564i −0.996764 + 0.0803848i
\(32\) 5.61048 9.71764i 0.991803 1.71785i
\(33\) −0.362134 3.44548i −0.0630395 0.599781i
\(34\) −1.04263 0.757512i −0.178809 0.129912i
\(35\) −4.14037 4.59835i −0.699851 0.777263i
\(36\) −2.18624 3.78668i −0.364373 0.631113i
\(37\) −1.36210 2.35923i −0.223928 0.387854i 0.732069 0.681230i \(-0.238555\pi\)
−0.955997 + 0.293376i \(0.905221\pi\)
\(38\) −5.05607 + 15.5610i −0.820203 + 2.52433i
\(39\) 4.98544 5.07936i 0.798309 0.813348i
\(40\) −3.66844 11.2903i −0.580031 1.78515i
\(41\) 7.76129 + 3.45555i 1.21211 + 0.539666i 0.910398 0.413734i \(-0.135775\pi\)
0.301711 + 0.953399i \(0.402442\pi\)
\(42\) −19.9147 + 4.23299i −3.07290 + 0.653165i
\(43\) −0.708033 6.73648i −0.107974 1.02730i −0.905595 0.424145i \(-0.860575\pi\)
0.797620 0.603160i \(-0.206092\pi\)
\(44\) −6.92523 5.03147i −1.04402 0.758523i
\(45\) −1.37962 0.293247i −0.205662 0.0437147i
\(46\) −18.7876 + 8.36477i −2.77008 + 1.23332i
\(47\) −3.01126 2.18781i −0.439237 0.319124i 0.346095 0.938200i \(-0.387508\pi\)
−0.785332 + 0.619075i \(0.787508\pi\)
\(48\) −19.3726 4.11778i −2.79620 0.594350i
\(49\) −0.885188 + 8.42200i −0.126455 + 1.20314i
\(50\) 6.04872 + 2.69307i 0.855419 + 0.380857i
\(51\) −0.299765 + 0.922583i −0.0419756 + 0.129187i
\(52\) −1.08416 17.5519i −0.150347 2.43401i
\(53\) −3.03900 9.35308i −0.417439 1.28474i −0.910051 0.414496i \(-0.863958\pi\)
0.492613 0.870249i \(-0.336042\pi\)
\(54\) 7.28618 8.09212i 0.991523 1.10120i
\(55\) −2.70090 + 0.574094i −0.364189 + 0.0774108i
\(56\) −14.8383 + 25.7007i −1.98285 + 3.43440i
\(57\) 12.3157 1.63126
\(58\) −5.81785 6.46138i −0.763921 0.848420i
\(59\) 6.88493 3.06537i 0.896342 0.399077i 0.0937431 0.995596i \(-0.470117\pi\)
0.802599 + 0.596519i \(0.203450\pi\)
\(60\) −12.2540 + 8.90309i −1.58199 + 1.14938i
\(61\) 5.89384 10.2084i 0.754629 1.30706i −0.190930 0.981604i \(-0.561150\pi\)
0.945559 0.325452i \(-0.105516\pi\)
\(62\) 13.7731 + 4.84739i 1.74919 + 0.615620i
\(63\) 1.76296 + 3.05353i 0.222112 + 0.384709i
\(64\) −7.57221 + 5.50154i −0.946527 + 0.687692i
\(65\) −4.44151 3.52856i −0.550902 0.437664i
\(66\) −2.80754 + 8.64072i −0.345584 + 1.06360i
\(67\) 2.59259 + 4.49050i 0.316736 + 0.548602i 0.979805 0.199956i \(-0.0640798\pi\)
−0.663069 + 0.748558i \(0.730746\pi\)
\(68\) 1.19842 + 2.07573i 0.145330 + 0.251719i
\(69\) 10.3581 + 11.5038i 1.24697 + 1.38490i
\(70\) 5.01441 + 15.4328i 0.599337 + 1.84457i
\(71\) −7.15405 1.52064i −0.849029 0.180467i −0.237204 0.971460i \(-0.576231\pi\)
−0.611825 + 0.790993i \(0.709564\pi\)
\(72\) 0.707092 + 6.72753i 0.0833316 + 0.792847i
\(73\) 0.530291 1.63207i 0.0620659 0.191019i −0.915216 0.402964i \(-0.867980\pi\)
0.977282 + 0.211945i \(0.0679799\pi\)
\(74\) 0.746762 + 7.10497i 0.0868093 + 0.825936i
\(75\) 0.520951 4.95652i 0.0601542 0.572329i
\(76\) 20.3616 22.6138i 2.33563 2.59398i
\(77\) 5.58442 + 4.05732i 0.636404 + 0.462374i
\(78\) −17.3617 + 6.85107i −1.96582 + 0.775731i
\(79\) −1.65995 5.10879i −0.186759 0.574784i 0.813215 0.581963i \(-0.197715\pi\)
−0.999974 + 0.00717836i \(0.997715\pi\)
\(80\) −1.65001 + 15.6988i −0.184477 + 1.75518i
\(81\) −9.94466 4.42765i −1.10496 0.491961i
\(82\) −14.9081 16.5572i −1.64633 1.82843i
\(83\) −7.55560 + 5.48946i −0.829334 + 0.602547i −0.919371 0.393392i \(-0.871302\pi\)
0.0900366 + 0.995938i \(0.471302\pi\)
\(84\) 37.0376 + 7.87258i 4.04113 + 0.858969i
\(85\) 0.756263 + 0.160749i 0.0820282 + 0.0174356i
\(86\) −5.48921 + 16.8941i −0.591917 + 1.82173i
\(87\) −3.27228 + 5.66775i −0.350825 + 0.607647i
\(88\) 6.62156 + 11.4689i 0.705860 + 1.22259i
\(89\) 1.35404 0.287810i 0.143528 0.0305078i −0.135587 0.990765i \(-0.543292\pi\)
0.279115 + 0.960258i \(0.409959\pi\)
\(90\) 2.99241 + 2.17412i 0.315428 + 0.229172i
\(91\) 0.874257 + 14.1536i 0.0916471 + 1.48370i
\(92\) 38.2482 3.98765
\(93\) 0.266473 10.9873i 0.0276320 1.13933i
\(94\) 4.88055 + 8.45336i 0.503390 + 0.871897i
\(95\) −1.02604 9.76209i −0.105269 1.00157i
\(96\) 17.9195 + 13.0193i 1.82890 + 1.32877i
\(97\) 3.19892 + 3.55276i 0.324801 + 0.360728i 0.883326 0.468760i \(-0.155299\pi\)
−0.558525 + 0.829488i \(0.688632\pi\)
\(98\) 11.1040 19.2327i 1.12167 1.94280i
\(99\) 1.57343 0.158135
\(100\) −8.23976 9.15118i −0.823976 0.915118i
\(101\) −2.89455 + 3.21472i −0.288018 + 0.319877i −0.869739 0.493512i \(-0.835713\pi\)
0.581721 + 0.813389i \(0.302380\pi\)
\(102\) 1.70223 1.89052i 0.168546 0.187189i
\(103\) 6.25693 4.54592i 0.616513 0.447923i −0.235189 0.971950i \(-0.575571\pi\)
0.851702 + 0.524027i \(0.175571\pi\)
\(104\) −9.51232 + 25.4888i −0.932760 + 2.49938i
\(105\) 9.88152 7.17934i 0.964337 0.700632i
\(106\) −2.69582 + 25.6491i −0.261842 + 2.49126i
\(107\) −5.56465 + 6.18017i −0.537955 + 0.597460i −0.949437 0.313958i \(-0.898345\pi\)
0.411482 + 0.911418i \(0.365011\pi\)
\(108\) −18.5007 + 8.23706i −1.78023 + 0.792611i
\(109\) 14.3791 + 10.4470i 1.37726 + 1.00064i 0.997130 + 0.0757093i \(0.0241221\pi\)
0.380134 + 0.924931i \(0.375878\pi\)
\(110\) 7.08300 + 1.50554i 0.675337 + 0.143547i
\(111\) 4.91254 2.18720i 0.466278 0.207600i
\(112\) 31.9247 23.1947i 3.01660 2.19169i
\(113\) 6.49007 + 7.20795i 0.610534 + 0.678067i 0.966569 0.256406i \(-0.0825383\pi\)
−0.356035 + 0.934473i \(0.615872\pi\)
\(114\) −29.5052 13.1366i −2.76341 1.23035i
\(115\) 8.25561 9.16878i 0.769839 0.854993i
\(116\) 4.99694 + 15.3790i 0.463954 + 1.42790i
\(117\) 2.05755 + 2.49293i 0.190220 + 0.230472i
\(118\) −19.7642 −1.81944
\(119\) −0.966395 1.67384i −0.0885893 0.153441i
\(120\) 22.9213 4.87208i 2.09242 0.444758i
\(121\) −7.23499 + 3.22122i −0.657726 + 0.292839i
\(122\) −25.0089 + 18.1700i −2.26420 + 1.64504i
\(123\) −8.38515 + 14.5235i −0.756063 + 1.30954i
\(124\) −19.7341 18.6546i −1.77217 1.67523i
\(125\) −11.8386 −1.05888
\(126\) −0.966529 9.19591i −0.0861052 0.819236i
\(127\) 1.09265 10.3958i 0.0969567 0.922481i −0.832618 0.553848i \(-0.813159\pi\)
0.929575 0.368634i \(-0.120174\pi\)
\(128\) 2.05771 0.437380i 0.181878 0.0386593i
\(129\) 13.3708 1.17723
\(130\) 6.87695 + 13.1910i 0.603149 + 1.15693i
\(131\) 2.95680 9.10010i 0.258337 0.795079i −0.734817 0.678266i \(-0.762732\pi\)
0.993154 0.116814i \(-0.0372681\pi\)
\(132\) 11.3064 12.5570i 0.984096 1.09295i
\(133\) −16.4193 + 18.2355i −1.42374 + 1.58122i
\(134\) −1.42137 13.5234i −0.122788 1.16825i
\(135\) −2.01869 + 6.21288i −0.173741 + 0.534719i
\(136\) −0.387605 3.68781i −0.0332368 0.316227i
\(137\) 16.9985 7.56823i 1.45228 0.646598i 0.479336 0.877631i \(-0.340877\pi\)
0.972946 + 0.231034i \(0.0742108\pi\)
\(138\) −12.5447 38.6086i −1.06788 3.28658i
\(139\) −15.7130 + 6.99587i −1.33276 + 0.593382i −0.944604 0.328213i \(-0.893554\pi\)
−0.388153 + 0.921595i \(0.626887\pi\)
\(140\) 3.15458 30.0138i 0.266611 2.53663i
\(141\) 4.91630 5.46010i 0.414027 0.459823i
\(142\) 15.5172 + 11.2739i 1.30218 + 0.946086i
\(143\) 5.66489 + 2.82014i 0.473722 + 0.235832i
\(144\) 2.77958 8.55465i 0.231631 0.712888i
\(145\) 4.76518 + 2.12159i 0.395727 + 0.176189i
\(146\) −3.01128 + 3.34437i −0.249215 + 0.276782i
\(147\) −16.3509 3.47550i −1.34860 0.286654i
\(148\) 4.10582 12.6364i 0.337496 1.03871i
\(149\) −9.66300 + 16.7368i −0.791624 + 1.37113i 0.133337 + 0.991071i \(0.457431\pi\)
−0.924961 + 0.380062i \(0.875903\pi\)
\(150\) −6.53493 + 11.3188i −0.533575 + 0.924178i
\(151\) −2.88542 + 8.88041i −0.234812 + 0.722677i 0.762334 + 0.647184i \(0.224053\pi\)
−0.997146 + 0.0754938i \(0.975947\pi\)
\(152\) −43.0075 + 19.1482i −3.48837 + 1.55312i
\(153\) −0.402477 0.179194i −0.0325383 0.0144870i
\(154\) −9.05105 15.6769i −0.729354 1.26328i
\(155\) −8.73131 + 0.704143i −0.701316 + 0.0565581i
\(156\) 34.6805 + 1.49319i 2.77666 + 0.119551i
\(157\) 3.41762 2.48304i 0.272755 0.198168i −0.442996 0.896524i \(-0.646084\pi\)
0.715751 + 0.698355i \(0.246084\pi\)
\(158\) −1.47250 + 14.0099i −0.117146 + 1.11457i
\(159\) 18.9885 4.03612i 1.50588 0.320085i
\(160\) 8.82687 15.2886i 0.697825 1.20867i
\(161\) −30.8429 −2.43076
\(162\) 19.1020 + 21.2149i 1.50080 + 1.66680i
\(163\) −17.3341 3.68449i −1.35772 0.288591i −0.529171 0.848515i \(-0.677497\pi\)
−0.828544 + 0.559924i \(0.810830\pi\)
\(164\) 12.8046 + 39.4084i 0.999868 + 3.07728i
\(165\) −0.569739 5.42070i −0.0443541 0.422001i
\(166\) 23.9565 5.09212i 1.85939 0.395225i
\(167\) −13.7805 6.13547i −1.06637 0.474777i −0.202908 0.979198i \(-0.565039\pi\)
−0.863458 + 0.504421i \(0.831706\pi\)
\(168\) −47.3925 34.4327i −3.65641 2.65654i
\(169\) 2.93967 + 12.6633i 0.226129 + 0.974097i
\(170\) −1.64034 1.19178i −0.125809 0.0914052i
\(171\) −0.584663 + 5.56270i −0.0447103 + 0.425390i
\(172\) 22.1059 24.5511i 1.68556 1.87200i
\(173\) 4.02709 1.79298i 0.306174 0.136317i −0.247898 0.968786i \(-0.579740\pi\)
0.554072 + 0.832469i \(0.313073\pi\)
\(174\) 13.8850 10.0881i 1.05262 0.764773i
\(175\) 6.64444 + 7.37940i 0.502272 + 0.557830i
\(176\) −1.84068 17.5129i −0.138747 1.32009i
\(177\) 4.59715 + 14.1486i 0.345543 + 1.06347i
\(178\) −3.55091 0.754769i −0.266152 0.0565724i
\(179\) 0.259182 0.0550908i 0.0193722 0.00411768i −0.198215 0.980158i \(-0.563515\pi\)
0.217588 + 0.976041i \(0.430181\pi\)
\(180\) −3.43957 5.95750i −0.256370 0.444046i
\(181\) −17.8201 −1.32455 −0.662277 0.749259i \(-0.730410\pi\)
−0.662277 + 0.749259i \(0.730410\pi\)
\(182\) 13.0025 34.8408i 0.963807 2.58257i
\(183\) 18.8245 + 13.6768i 1.39155 + 1.01102i
\(184\) −54.0573 24.0679i −3.98516 1.77431i
\(185\) −2.14297 3.71173i −0.157554 0.272891i
\(186\) −12.3580 + 26.0384i −0.906132 + 1.90923i
\(187\) −0.862501 −0.0630723
\(188\) −1.89759 18.0544i −0.138396 1.31675i
\(189\) 14.9188 6.64226i 1.08518 0.483154i
\(190\) −7.95462 + 24.4818i −0.577089 + 1.77610i
\(191\) 9.52997 16.5064i 0.689564 1.19436i −0.282415 0.959292i \(-0.591135\pi\)
0.971979 0.235068i \(-0.0755313\pi\)
\(192\) −9.23788 16.0005i −0.666687 1.15474i
\(193\) −0.730374 + 0.155246i −0.0525734 + 0.0111748i −0.234123 0.972207i \(-0.575222\pi\)
0.181550 + 0.983382i \(0.441889\pi\)
\(194\) −3.87421 11.9236i −0.278152 0.856064i
\(195\) 7.84350 7.99125i 0.561684 0.572266i
\(196\) −33.4147 + 24.2772i −2.38676 + 1.73408i
\(197\) 1.26564 0.269021i 0.0901733 0.0191669i −0.162604 0.986691i \(-0.551989\pi\)
0.252777 + 0.967524i \(0.418656\pi\)
\(198\) −3.76952 1.67830i −0.267888 0.119271i
\(199\) 1.48993 0.663361i 0.105619 0.0470244i −0.353247 0.935530i \(-0.614923\pi\)
0.458866 + 0.888506i \(0.348256\pi\)
\(200\) 5.88707 + 18.1186i 0.416279 + 1.28118i
\(201\) −9.35044 + 4.16308i −0.659529 + 0.293641i
\(202\) 10.3636 4.61415i 0.729177 0.324651i
\(203\) −4.02947 12.4014i −0.282813 0.870410i
\(204\) −4.32223 + 1.92438i −0.302617 + 0.134734i
\(205\) 12.2107 + 5.43655i 0.852831 + 0.379705i
\(206\) −19.8388 + 4.21688i −1.38224 + 0.293804i
\(207\) −5.68773 + 4.13237i −0.395324 + 0.287220i
\(208\) 25.3404 25.8178i 1.75704 1.79014i
\(209\) 3.38378 + 10.4142i 0.234061 + 0.720366i
\(210\) −31.3313 + 6.65968i −2.16207 + 0.459562i
\(211\) −4.49282 7.78180i −0.309299 0.535721i 0.668910 0.743343i \(-0.266761\pi\)
−0.978209 + 0.207622i \(0.933428\pi\)
\(212\) 23.9826 41.5391i 1.64713 2.85292i
\(213\) 4.46136 13.7306i 0.305687 0.940808i
\(214\) 19.9235 8.87052i 1.36194 0.606376i
\(215\) −1.11393 10.5984i −0.0759697 0.722804i
\(216\) 31.3309 2.13180
\(217\) 15.9133 + 15.0428i 1.08027 + 1.02117i
\(218\) −23.3051 40.3657i −1.57842 2.73391i
\(219\) 3.09456 + 1.37779i 0.209111 + 0.0931023i
\(220\) −10.8953 7.91592i −0.734563 0.533691i
\(221\) −1.12788 1.36654i −0.0758693 0.0919236i
\(222\) −14.1021 −0.946473
\(223\) 8.55264 + 14.8136i 0.572727 + 0.991992i 0.996284 + 0.0861232i \(0.0274479\pi\)
−0.423557 + 0.905869i \(0.639219\pi\)
\(224\) −43.1675 + 9.17554i −2.88425 + 0.613067i
\(225\) 2.21400 + 0.470601i 0.147600 + 0.0313734i
\(226\) −7.86012 24.1910i −0.522848 1.60916i
\(227\) 2.92929 + 27.8703i 0.194424 + 1.84982i 0.462749 + 0.886489i \(0.346863\pi\)
−0.268325 + 0.963328i \(0.586470\pi\)
\(228\) 40.1929 + 44.6387i 2.66184 + 2.95627i
\(229\) 1.98218 1.44013i 0.130986 0.0951668i −0.520363 0.853945i \(-0.674203\pi\)
0.651349 + 0.758778i \(0.274203\pi\)
\(230\) −29.5581 + 13.1601i −1.94901 + 0.867753i
\(231\) −9.11735 + 10.1258i −0.599877 + 0.666231i
\(232\) 2.61499 24.8799i 0.171682 1.63345i
\(233\) −0.511070 0.371314i −0.0334813 0.0243256i 0.570919 0.821007i \(-0.306587\pi\)
−0.604400 + 0.796681i \(0.706587\pi\)
\(234\) −2.27025 8.16708i −0.148411 0.533899i
\(235\) −4.73755 3.44203i −0.309044 0.224533i
\(236\) 33.5798 + 14.9507i 2.18586 + 0.973207i
\(237\) 10.3718 2.20459i 0.673720 0.143204i
\(238\) 0.529819 + 5.04089i 0.0343431 + 0.326753i
\(239\) −6.07848 18.7077i −0.393185 1.21010i −0.930366 0.366631i \(-0.880511\pi\)
0.537182 0.843466i \(-0.319489\pi\)
\(240\) −30.4786 6.47842i −1.96738 0.418181i
\(241\) −12.6049 13.9991i −0.811951 0.901763i 0.184761 0.982783i \(-0.440849\pi\)
−0.996712 + 0.0810201i \(0.974182\pi\)
\(242\) 20.7690 1.33508
\(243\) 4.51569 7.82141i 0.289682 0.501744i
\(244\) 56.2356 11.9532i 3.60011 0.765228i
\(245\) −1.39265 + 13.2502i −0.0889731 + 0.846522i
\(246\) 35.5801 25.8504i 2.26850 1.64816i
\(247\) −12.0753 + 18.9797i −0.768333 + 1.20765i
\(248\) 16.1522 + 38.7829i 1.02567 + 2.46272i
\(249\) −9.21761 15.9654i −0.584142 1.01176i
\(250\) 28.3622 + 12.6276i 1.79378 + 0.798643i
\(251\) 14.0820 6.26972i 0.888849 0.395741i 0.0890628 0.996026i \(-0.471613\pi\)
0.799786 + 0.600285i \(0.204946\pi\)
\(252\) −5.31413 + 16.3552i −0.334759 + 1.03028i
\(253\) −6.88176 + 11.9196i −0.432653 + 0.749377i
\(254\) −13.7064 + 23.7402i −0.860017 + 1.48959i
\(255\) −0.471615 + 1.45148i −0.0295337 + 0.0908953i
\(256\) 12.9142 + 2.74500i 0.807139 + 0.171563i
\(257\) −5.20711 + 5.78308i −0.324810 + 0.360738i −0.883329 0.468754i \(-0.844703\pi\)
0.558519 + 0.829492i \(0.311370\pi\)
\(258\) −32.0328 14.2619i −1.99428 0.887909i
\(259\) −3.31088 + 10.1899i −0.205728 + 0.633167i
\(260\) −1.70570 27.6140i −0.105783 1.71255i
\(261\) −2.40464 1.74707i −0.148843 0.108141i
\(262\) −16.7903 + 18.6476i −1.03731 + 1.15205i
\(263\) 0.0383452 0.364830i 0.00236446 0.0224964i −0.993276 0.115770i \(-0.963066\pi\)
0.995641 + 0.0932736i \(0.0297331\pi\)
\(264\) −23.8813 + 10.6326i −1.46979 + 0.654393i
\(265\) −4.78120 14.7150i −0.293707 0.903937i
\(266\) 58.7873 26.1738i 3.60448 1.60482i
\(267\) 0.285626 + 2.71755i 0.0174801 + 0.166312i
\(268\) −7.81494 + 24.0519i −0.477373 + 1.46920i
\(269\) 1.49626 + 14.2360i 0.0912285 + 0.867982i 0.940447 + 0.339940i \(0.110407\pi\)
−0.849219 + 0.528041i \(0.822927\pi\)
\(270\) 11.4632 12.7312i 0.697628 0.774795i
\(271\) 12.6538 14.0535i 0.768665 0.853689i −0.224000 0.974589i \(-0.571912\pi\)
0.992665 + 0.120901i \(0.0385782\pi\)
\(272\) −1.52367 + 4.68938i −0.0923862 + 0.284335i
\(273\) −27.9659 1.20409i −1.69257 0.0728747i
\(274\) −48.7966 −2.94791
\(275\) 4.33438 0.921301i 0.261373 0.0555565i
\(276\) −7.89191 + 75.0865i −0.475037 + 4.51968i
\(277\) 0.309075 + 2.94065i 0.0185705 + 0.176686i 0.999876 0.0157720i \(-0.00502060\pi\)
−0.981305 + 0.192458i \(0.938354\pi\)
\(278\) 45.1063 2.70529
\(279\) 4.95003 + 0.641958i 0.296351 + 0.0384330i
\(280\) −23.3448 + 40.4345i −1.39512 + 2.41642i
\(281\) 19.6691 14.2904i 1.17336 0.852496i 0.181953 0.983307i \(-0.441758\pi\)
0.991407 + 0.130811i \(0.0417581\pi\)
\(282\) −17.6022 + 7.83699i −1.04819 + 0.466686i
\(283\) −31.6805 + 6.73391i −1.88321 + 0.400289i −0.997904 0.0647133i \(-0.979387\pi\)
−0.885309 + 0.465003i \(0.846053\pi\)
\(284\) −17.8359 30.8927i −1.05837 1.83315i
\(285\) 19.3761 1.14774
\(286\) −10.5635 12.7988i −0.624631 0.756806i
\(287\) −10.3254 31.7784i −0.609491 1.87582i
\(288\) −6.73116 + 7.47571i −0.396638 + 0.440511i
\(289\) −15.3096 6.81629i −0.900568 0.400958i
\(290\) −9.15311 10.1656i −0.537489 0.596942i
\(291\) −7.63461 + 5.54687i −0.447549 + 0.325163i
\(292\) 7.64611 3.40427i 0.447455 0.199220i
\(293\) 11.4339 + 2.43034i 0.667973 + 0.141982i 0.529403 0.848371i \(-0.322416\pi\)
0.138570 + 0.990353i \(0.455749\pi\)
\(294\) 35.4654 + 25.7671i 2.06838 + 1.50277i
\(295\) 10.8319 4.82269i 0.630659 0.280788i
\(296\) −13.7544 + 15.2758i −0.799459 + 0.887889i
\(297\) 0.761750 7.24757i 0.0442012 0.420547i
\(298\) 41.0023 29.7899i 2.37520 1.72568i
\(299\) −27.8845 + 4.68358i −1.61260 + 0.270859i
\(300\) 19.6652 14.2876i 1.13537 0.824895i
\(301\) −17.8259 + 19.7977i −1.02747 + 1.14112i
\(302\) 16.3850 18.1974i 0.942850 1.04714i
\(303\) −5.71371 6.34572i −0.328244 0.364552i
\(304\) 62.5993 3.59031
\(305\) 9.27266 16.0607i 0.530951 0.919634i
\(306\) 0.773091 + 0.858604i 0.0441947 + 0.0490831i
\(307\) −2.20019 1.59853i −0.125572 0.0912331i 0.523227 0.852194i \(-0.324728\pi\)
−0.648798 + 0.760960i \(0.724728\pi\)
\(308\) 3.51912 + 33.4821i 0.200520 + 1.90782i
\(309\) 7.63327 + 13.2212i 0.434241 + 0.752128i
\(310\) 21.6690 + 7.62631i 1.23072 + 0.433145i
\(311\) 20.4605 1.16021 0.580105 0.814542i \(-0.303012\pi\)
0.580105 + 0.814542i \(0.303012\pi\)
\(312\) −48.0754 23.9333i −2.72173 1.35495i
\(313\) 6.22086 + 4.51972i 0.351624 + 0.255469i 0.749550 0.661948i \(-0.230270\pi\)
−0.397926 + 0.917417i \(0.630270\pi\)
\(314\) −10.8362 + 2.30331i −0.611524 + 0.129984i
\(315\) 2.77363 + 4.80406i 0.156276 + 0.270678i
\(316\) 13.0997 22.6893i 0.736915 1.27637i
\(317\) −4.37983 + 13.4797i −0.245996 + 0.757098i 0.749475 + 0.662033i \(0.230306\pi\)
−0.995471 + 0.0950653i \(0.969694\pi\)
\(318\) −49.7965 10.5846i −2.79245 0.593553i
\(319\) −5.69174 1.20982i −0.318676 0.0677367i
\(320\) −11.9132 + 8.65546i −0.665969 + 0.483855i
\(321\) −10.9844 12.1994i −0.613088 0.680903i
\(322\) 73.8913 + 32.8985i 4.11780 + 1.83336i
\(323\) 0.320493 3.04929i 0.0178327 0.169667i
\(324\) −16.4067 50.4946i −0.911482 2.80525i
\(325\) 7.12770 + 5.66260i 0.395374 + 0.314105i
\(326\) 37.5980 + 27.3165i 2.08236 + 1.51292i
\(327\) −23.4758 + 26.0725i −1.29822 + 1.44181i
\(328\) 6.70086 63.7544i 0.369993 3.52025i
\(329\) 1.53020 + 14.5588i 0.0843625 + 0.802655i
\(330\) −4.41705 + 13.5943i −0.243151 + 0.748340i
\(331\) −0.0239019 0.227411i −0.00131377 0.0124997i 0.993845 0.110776i \(-0.0353337\pi\)
−0.995159 + 0.0982766i \(0.968667\pi\)
\(332\) −44.5547 9.47040i −2.44526 0.519756i
\(333\) 0.754693 + 2.32271i 0.0413569 + 0.127284i
\(334\) 26.4700 + 29.3979i 1.44837 + 1.60858i
\(335\) 4.07888 + 7.06482i 0.222853 + 0.385993i
\(336\) 38.9473 + 67.4586i 2.12475 + 3.68017i
\(337\) −9.37563 + 28.8552i −0.510723 + 1.57184i 0.280208 + 0.959939i \(0.409597\pi\)
−0.790931 + 0.611905i \(0.790403\pi\)
\(338\) 6.46460 33.4734i 0.351628 1.82071i
\(339\) −15.4893 + 11.2537i −0.841266 + 0.611215i
\(340\) 1.88546 + 3.26571i 0.102253 + 0.177108i
\(341\) 9.36410 2.79346i 0.507095 0.151274i
\(342\) 7.33415 12.7031i 0.396585 0.686906i
\(343\) 4.67220 3.39455i 0.252275 0.183289i
\(344\) −46.6919 + 20.7886i −2.51746 + 1.12084i
\(345\) 16.2962 + 18.0988i 0.877358 + 0.974405i
\(346\) −11.5603 −0.621487
\(347\) 8.56366 14.8327i 0.459721 0.796260i −0.539225 0.842162i \(-0.681283\pi\)
0.998946 + 0.0459015i \(0.0146160\pi\)
\(348\) −31.2222 + 6.63648i −1.67368 + 0.355752i
\(349\) −3.39003 + 3.76501i −0.181464 + 0.201536i −0.827013 0.562182i \(-0.809962\pi\)
0.645549 + 0.763719i \(0.276629\pi\)
\(350\) −8.04708 24.7664i −0.430135 1.32382i
\(351\) 12.4791 8.27061i 0.666087 0.441453i
\(352\) −6.08570 + 18.7299i −0.324369 + 0.998305i
\(353\) −15.3916 6.85278i −0.819212 0.364737i −0.0460450 0.998939i \(-0.514662\pi\)
−0.773167 + 0.634203i \(0.781328\pi\)
\(354\) 4.07803 38.7998i 0.216745 2.06219i
\(355\) −11.2553 2.39239i −0.597371 0.126975i
\(356\) 5.46214 + 3.96848i 0.289493 + 0.210329i
\(357\) 3.48539 1.55180i 0.184467 0.0821298i
\(358\) −0.679694 0.144473i −0.0359230 0.00763566i
\(359\) 7.66483 + 5.56883i 0.404534 + 0.293912i 0.771385 0.636368i \(-0.219564\pi\)
−0.366851 + 0.930280i \(0.619564\pi\)
\(360\) 1.11245 + 10.5843i 0.0586315 + 0.557841i
\(361\) −19.4910 + 4.14293i −1.02584 + 0.218049i
\(362\) 42.6921 + 19.0078i 2.24385 + 0.999026i
\(363\) −4.83089 14.8680i −0.253556 0.780365i
\(364\) −48.4471 + 49.3597i −2.53932 + 2.58715i
\(365\) 0.834297 2.56770i 0.0436691 0.134400i
\(366\) −30.5101 52.8451i −1.59479 2.76226i
\(367\) 12.7713 + 22.1205i 0.666656 + 1.15468i 0.978833 + 0.204658i \(0.0656084\pi\)
−0.312177 + 0.950024i \(0.601058\pi\)
\(368\) 52.6490 + 58.4726i 2.74452 + 3.04810i
\(369\) −6.16184 4.47684i −0.320772 0.233055i
\(370\) 1.17487 + 11.1781i 0.0610784 + 0.581122i
\(371\) −19.3393 + 33.4967i −1.00405 + 1.73906i
\(372\) 40.6934 34.8916i 2.10986 1.80905i
\(373\) 14.5847 25.2614i 0.755167 1.30799i −0.190125 0.981760i \(-0.560889\pi\)
0.945291 0.326227i \(-0.105777\pi\)
\(374\) 2.06632 + 0.919987i 0.106847 + 0.0475714i
\(375\) 2.44271 23.2409i 0.126141 1.20015i
\(376\) −8.67890 + 26.7109i −0.447580 + 1.37751i
\(377\) −5.52617 10.6000i −0.284612 0.545929i
\(378\) −42.8264 −2.20275
\(379\) 31.1482 6.62075i 1.59997 0.340085i 0.680351 0.732886i \(-0.261827\pi\)
0.919624 + 0.392801i \(0.128494\pi\)
\(380\) 32.0345 35.5779i 1.64333 1.82511i
\(381\) 20.1830 + 4.29004i 1.03401 + 0.219785i
\(382\) −40.4378 + 29.3798i −2.06898 + 1.50320i
\(383\) 5.51527 + 6.12533i 0.281817 + 0.312990i 0.867389 0.497631i \(-0.165797\pi\)
−0.585572 + 0.810621i \(0.699130\pi\)
\(384\) 0.434062 + 4.12982i 0.0221506 + 0.210749i
\(385\) 8.78586 + 6.38330i 0.447769 + 0.325323i
\(386\) 1.91537 + 0.407125i 0.0974900 + 0.0207221i
\(387\) −0.634750 + 6.03924i −0.0322661 + 0.306992i
\(388\) −2.43728 + 23.1891i −0.123734 + 1.17725i
\(389\) −2.41541 7.43387i −0.122466 0.376912i 0.870965 0.491346i \(-0.163495\pi\)
−0.993431 + 0.114433i \(0.963495\pi\)
\(390\) −27.3148 + 10.7787i −1.38314 + 0.545799i
\(391\) 3.11782 2.26523i 0.157675 0.114558i
\(392\) 62.5025 13.2853i 3.15685 0.671010i
\(393\) 17.2547 + 7.68228i 0.870384 + 0.387520i
\(394\) −3.31909 0.705495i −0.167214 0.0355423i
\(395\) −2.61156 8.03757i −0.131402 0.404414i
\(396\) 5.13495 + 5.70294i 0.258041 + 0.286584i
\(397\) 15.0952 26.1456i 0.757604 1.31221i −0.186465 0.982462i \(-0.559703\pi\)
0.944069 0.329747i \(-0.106964\pi\)
\(398\) −4.27706 −0.214390
\(399\) −32.4110 35.9961i −1.62258 1.80206i
\(400\) 2.64793 25.1934i 0.132397 1.25967i
\(401\) −4.33555 1.93031i −0.216507 0.0963951i 0.295617 0.955306i \(-0.404475\pi\)
−0.512124 + 0.858911i \(0.671141\pi\)
\(402\) 26.8417 1.33874
\(403\) 16.6712 + 11.1835i 0.830453 + 0.557089i
\(404\) −21.0984 −1.04968
\(405\) −15.6457 6.96593i −0.777443 0.346140i
\(406\) −3.57445 + 34.0086i −0.177397 + 1.68782i
\(407\) 3.19925 + 3.55312i 0.158581 + 0.176122i
\(408\) 7.31967 0.362378
\(409\) 18.8646 32.6744i 0.932794 1.61565i 0.154272 0.988028i \(-0.450697\pi\)
0.778522 0.627617i \(-0.215970\pi\)
\(410\) −23.4547 26.0491i −1.15834 1.28647i
\(411\) 11.3501 + 34.9321i 0.559860 + 1.72307i
\(412\) 36.8966 + 7.84261i 1.81776 + 0.386378i
\(413\) −27.0783 12.0561i −1.33244 0.593240i
\(414\) 18.0341 3.83326i 0.886327 0.188395i
\(415\) −11.8871 + 8.63646i −0.583513 + 0.423947i
\(416\) −37.6337 + 14.8506i −1.84514 + 0.728109i
\(417\) −10.4917 32.2903i −0.513783 1.58126i
\(418\) 3.00167 28.5590i 0.146817 1.39687i
\(419\) −3.12760 + 29.7572i −0.152793 + 1.45373i 0.602381 + 0.798209i \(0.294219\pi\)
−0.755174 + 0.655524i \(0.772448\pi\)
\(420\) 58.2705 + 12.3858i 2.84331 + 0.604364i
\(421\) 4.84005 + 3.51650i 0.235890 + 0.171384i 0.699450 0.714681i \(-0.253428\pi\)
−0.463560 + 0.886065i \(0.653428\pi\)
\(422\) 2.46316 + 23.4354i 0.119905 + 1.14082i
\(423\) 2.23280 + 2.47978i 0.108562 + 0.120571i
\(424\) −60.0341 + 43.6174i −2.91552 + 2.11825i
\(425\) −1.21364 0.257968i −0.0588704 0.0125133i
\(426\) −25.3340 + 28.1363i −1.22744 + 1.36321i
\(427\) −45.3477 + 9.63895i −2.19453 + 0.466461i
\(428\) −40.5607 −1.96058
\(429\) −6.70519 + 10.5391i −0.323730 + 0.508832i
\(430\) −8.63607 + 26.5791i −0.416468 + 1.28176i
\(431\) 1.65551 15.7511i 0.0797430 0.758704i −0.879458 0.475977i \(-0.842094\pi\)
0.959201 0.282726i \(-0.0912389\pi\)
\(432\) −38.0590 16.9450i −1.83112 0.815265i
\(433\) 10.6831 18.5037i 0.513399 0.889233i −0.486480 0.873691i \(-0.661719\pi\)
0.999879 0.0155414i \(-0.00494717\pi\)
\(434\) −22.0786 53.0126i −1.05981 2.54469i
\(435\) −5.14821 + 8.91696i −0.246838 + 0.427536i
\(436\) 9.06120 + 86.2116i 0.433953 + 4.12879i
\(437\) −39.5833 28.7589i −1.89353 1.37573i
\(438\) −5.94413 6.60163i −0.284022 0.315438i
\(439\) 11.2822 + 19.5413i 0.538470 + 0.932657i 0.998987 + 0.0450058i \(0.0143306\pi\)
−0.460517 + 0.887651i \(0.652336\pi\)
\(440\) 10.4176 + 18.0438i 0.496638 + 0.860202i
\(441\) 2.34602 7.22031i 0.111715 0.343824i
\(442\) 1.24448 + 4.47693i 0.0591937 + 0.212946i
\(443\) 10.9311 + 33.6426i 0.519354 + 1.59841i 0.775217 + 0.631695i \(0.217641\pi\)
−0.255862 + 0.966713i \(0.582359\pi\)
\(444\) 23.9599 + 10.6676i 1.13709 + 0.506263i
\(445\) 2.13028 0.452806i 0.100985 0.0214650i
\(446\) −4.68893 44.6122i −0.222027 2.11245i
\(447\) −30.8629 22.4232i −1.45977 1.06058i
\(448\) 36.0074 + 7.65362i 1.70119 + 0.361599i
\(449\) 14.6253 6.51158i 0.690208 0.307301i −0.0314942 0.999504i \(-0.510027\pi\)
0.721702 + 0.692203i \(0.243360\pi\)
\(450\) −4.80220 3.48900i −0.226378 0.164473i
\(451\) −14.5850 3.10013i −0.686780 0.145980i
\(452\) −4.94483 + 47.0469i −0.232585 + 2.21290i
\(453\) −16.8381 7.49682i −0.791125 0.352231i
\(454\) 22.7101 69.8944i 1.06584 3.28031i
\(455\) 1.37545 + 22.2676i 0.0644822 + 1.04392i
\(456\) −28.7167 88.3808i −1.34478 4.13881i
\(457\) 24.1313 26.8006i 1.12882 1.25368i 0.165237 0.986254i \(-0.447161\pi\)
0.963579 0.267424i \(-0.0861724\pi\)
\(458\) −6.28489 + 1.33589i −0.293673 + 0.0624222i
\(459\) −1.02026 + 1.76715i −0.0476218 + 0.0824834i
\(460\) 60.1751 2.80568
\(461\) −12.4119 13.7848i −0.578079 0.642021i 0.381197 0.924494i \(-0.375512\pi\)
−0.959275 + 0.282473i \(0.908845\pi\)
\(462\) 32.6435 14.5338i 1.51871 0.676174i
\(463\) 15.6850 11.3958i 0.728944 0.529609i −0.160285 0.987071i \(-0.551241\pi\)
0.889229 + 0.457462i \(0.151241\pi\)
\(464\) −16.6326 + 28.8085i −0.772149 + 1.33740i
\(465\) 0.419238 17.2861i 0.0194417 0.801623i
\(466\) 0.828327 + 1.43470i 0.0383715 + 0.0664614i
\(467\) −27.6813 + 20.1116i −1.28094 + 0.930656i −0.999581 0.0289471i \(-0.990785\pi\)
−0.281357 + 0.959603i \(0.590785\pi\)
\(468\) −2.32082 + 15.5934i −0.107280 + 0.720806i
\(469\) 6.30187 19.3952i 0.290993 0.895585i
\(470\) 7.67847 + 13.2995i 0.354182 + 0.613461i
\(471\) 4.16939 + 7.22160i 0.192115 + 0.332754i
\(472\) −38.0516 42.2606i −1.75147 1.94520i
\(473\) 3.67366 + 11.3064i 0.168915 + 0.519867i
\(474\) −27.1996 5.78145i −1.24932 0.265551i
\(475\) 1.64658 + 15.6661i 0.0755501 + 0.718811i
\(476\) 2.91303 8.96539i 0.133519 0.410928i
\(477\) 0.921578 + 8.76822i 0.0421961 + 0.401469i
\(478\) −5.39208 + 51.3022i −0.246628 + 2.34651i
\(479\) 16.7347 18.5858i 0.764629 0.849206i −0.227584 0.973758i \(-0.573083\pi\)
0.992213 + 0.124552i \(0.0397494\pi\)
\(480\) 28.1924 + 20.4829i 1.28680 + 0.934914i
\(481\) −1.44595 + 9.71523i −0.0659296 + 0.442976i
\(482\) 15.2658 + 46.9832i 0.695337 + 2.14003i
\(483\) 6.36394 60.5489i 0.289569 2.75507i
\(484\) −35.2871 15.7108i −1.60396 0.714129i
\(485\) 5.03279 + 5.58948i 0.228527 + 0.253805i
\(486\) −19.1611 + 13.9214i −0.869166 + 0.631486i
\(487\) −21.5265 4.57560i −0.975459 0.207340i −0.307508 0.951545i \(-0.599495\pi\)
−0.667951 + 0.744205i \(0.732829\pi\)
\(488\) −87.0011 18.4927i −3.93836 0.837124i
\(489\) 10.8098 33.2691i 0.488836 1.50448i
\(490\) 17.4697 30.2584i 0.789201 1.36694i
\(491\) −2.46199 4.26429i −0.111108 0.192445i 0.805109 0.593127i \(-0.202107\pi\)
−0.916217 + 0.400682i \(0.868773\pi\)
\(492\) −80.0062 + 17.0058i −3.60696 + 0.766683i
\(493\) 1.31814 + 0.957687i 0.0593662 + 0.0431320i
\(494\) 49.1740 32.5903i 2.21244 1.46631i
\(495\) 2.47544 0.111263
\(496\) 1.35445 55.8471i 0.0608167 2.50761i
\(497\) 14.3827 + 24.9115i 0.645152 + 1.11744i
\(498\) 5.05349 + 48.0808i 0.226452 + 2.15455i
\(499\) 26.5256 + 19.2720i 1.18745 + 0.862733i 0.992992 0.118178i \(-0.0377054\pi\)
0.194457 + 0.980911i \(0.437705\pi\)
\(500\) −38.6358 42.9094i −1.72785 1.91897i
\(501\) 14.8882 25.7871i 0.665155 1.15208i
\(502\) −40.4244 −1.80423
\(503\) 4.43335 + 4.92374i 0.197673 + 0.219539i 0.833830 0.552022i \(-0.186143\pi\)
−0.636156 + 0.771560i \(0.719477\pi\)
\(504\) 17.8022 19.7714i 0.792975 0.880688i
\(505\) −4.55394 + 5.05766i −0.202648 + 0.225063i
\(506\) 29.2009 21.2157i 1.29814 0.943152i
\(507\) −25.4663 + 3.15812i −1.13100 + 0.140257i
\(508\) 41.2459 29.9669i 1.82999 1.32957i
\(509\) −0.152530 + 1.45123i −0.00676078 + 0.0643246i −0.997382 0.0723115i \(-0.976962\pi\)
0.990621 + 0.136636i \(0.0436291\pi\)
\(510\) 2.67809 2.97432i 0.118588 0.131705i
\(511\) −6.16573 + 2.74516i −0.272756 + 0.121439i
\(512\) −31.4149 22.8243i −1.38836 1.00870i
\(513\) 25.3400 + 5.38619i 1.11879 + 0.237806i
\(514\) 18.6434 8.30056i 0.822324 0.366122i
\(515\) 9.84390 7.15201i 0.433774 0.315155i
\(516\) 43.6361 + 48.4628i 1.92097 + 2.13345i
\(517\) 5.96785 + 2.65706i 0.262466 + 0.116857i
\(518\) 18.8010 20.8806i 0.826069 0.917442i
\(519\) 2.68894 + 8.27570i 0.118031 + 0.363263i
\(520\) −14.9656 + 40.1011i −0.656283 + 1.75855i
\(521\) 29.4582 1.29059 0.645293 0.763935i \(-0.276735\pi\)
0.645293 + 0.763935i \(0.276735\pi\)
\(522\) 3.89736 + 6.75043i 0.170583 + 0.295458i
\(523\) 14.8803 3.16290i 0.650670 0.138304i 0.129260 0.991611i \(-0.458740\pi\)
0.521409 + 0.853307i \(0.325406\pi\)
\(524\) 42.6333 18.9816i 1.86244 0.829213i
\(525\) −15.8578 + 11.5213i −0.692090 + 0.502833i
\(526\) −0.481011 + 0.833135i −0.0209731 + 0.0363264i
\(527\) −2.71345 0.351900i −0.118200 0.0153290i
\(528\) 34.7602 1.51274
\(529\) −4.02418 38.2875i −0.174964 1.66467i
\(530\) −4.24129 + 40.3532i −0.184230 + 1.75283i
\(531\) −6.60880 + 1.40474i −0.286798 + 0.0609607i
\(532\) −119.680 −5.18881
\(533\) −14.1607 27.1624i −0.613368 1.17653i
\(534\) 2.21439 6.81520i 0.0958262 0.294923i
\(535\) −8.75476 + 9.72315i −0.378501 + 0.420368i
\(536\) 26.1799 29.0757i 1.13080 1.25588i
\(537\) 0.0546729 + 0.520178i 0.00235931 + 0.0224473i
\(538\) 11.6001 35.7016i 0.500118 1.53920i
\(539\) −1.55358 14.7813i −0.0669174 0.636676i
\(540\) −29.1068 + 12.9592i −1.25256 + 0.557675i
\(541\) −6.47242 19.9201i −0.278271 0.856430i −0.988335 0.152293i \(-0.951334\pi\)
0.710064 0.704137i \(-0.248666\pi\)
\(542\) −45.3053 + 20.1712i −1.94603 + 0.866429i
\(543\) 3.67689 34.9833i 0.157790 1.50128i
\(544\) 3.68980 4.09794i 0.158199 0.175698i
\(545\) 22.6223 + 16.4361i 0.969033 + 0.704043i
\(546\) 65.7146 + 32.7145i 2.81233 + 1.40005i
\(547\) 7.77174 23.9189i 0.332296 1.02270i −0.635743 0.771900i \(-0.719306\pi\)
0.968039 0.250800i \(-0.0806936\pi\)
\(548\) 82.9067 + 36.9125i 3.54160 + 1.57682i
\(549\) −7.07112 + 7.85327i −0.301788 + 0.335170i
\(550\) −11.3667 2.41607i −0.484679 0.103022i
\(551\) 6.39216 19.6730i 0.272315 0.838099i
\(552\) 58.4025 101.156i 2.48578 4.30549i
\(553\) −10.5634 + 18.2964i −0.449202 + 0.778041i
\(554\) 2.39618 7.37469i 0.101804 0.313321i
\(555\) 7.72881 3.44109i 0.328070 0.146066i
\(556\) −76.6367 34.1209i −3.25012 1.44705i
\(557\) 7.32478 + 12.6869i 0.310361 + 0.537561i 0.978440 0.206529i \(-0.0662168\pi\)
−0.668080 + 0.744090i \(0.732883\pi\)
\(558\) −11.1742 6.81791i −0.473043 0.288625i
\(559\) −13.1098 + 20.6057i −0.554484 + 0.871527i
\(560\) 50.2266 36.4917i 2.12246 1.54206i
\(561\) 0.177964 1.69321i 0.00751364 0.0714875i
\(562\) −62.3649 + 13.2561i −2.63070 + 0.559173i
\(563\) −13.4051 + 23.2183i −0.564957 + 0.978534i 0.432097 + 0.901827i \(0.357774\pi\)
−0.997054 + 0.0767066i \(0.975560\pi\)
\(564\) 35.8349 1.50892
\(565\) 10.2107 + 11.3401i 0.429567 + 0.477083i
\(566\) 83.0809 + 17.6594i 3.49215 + 0.742280i
\(567\) 13.2301 + 40.7182i 0.555614 + 1.71000i
\(568\) 5.76865 + 54.8850i 0.242047 + 2.30293i
\(569\) −16.8142 + 3.57396i −0.704886 + 0.149828i −0.546389 0.837531i \(-0.683998\pi\)
−0.158497 + 0.987359i \(0.550665\pi\)
\(570\) −46.4199 20.6675i −1.94432 0.865666i
\(571\) 11.0591 + 8.03488i 0.462808 + 0.336249i 0.794632 0.607092i \(-0.207664\pi\)
−0.331824 + 0.943341i \(0.607664\pi\)
\(572\) 8.26594 + 29.7362i 0.345616 + 1.24333i
\(573\) 30.4380 + 22.1145i 1.27157 + 0.923847i
\(574\) −9.15945 + 87.1463i −0.382308 + 3.63742i
\(575\) −13.2485 + 14.7140i −0.552502 + 0.613616i
\(576\) 7.66557 3.41293i 0.319399 0.142205i
\(577\) 1.60430 1.16559i 0.0667880 0.0485243i −0.553890 0.832590i \(-0.686857\pi\)
0.620678 + 0.784065i \(0.286857\pi\)
\(578\) 29.4073 + 32.6601i 1.22318 + 1.35848i
\(579\) −0.154068 1.46586i −0.00640285 0.0609190i
\(580\) 7.86158 + 24.1955i 0.326434 + 1.00466i
\(581\) 35.9284 + 7.63682i 1.49056 + 0.316829i
\(582\) 24.2071 5.14537i 1.00342 0.213282i
\(583\) 8.63011 + 14.9478i 0.357422 + 0.619074i
\(584\) −12.9486 −0.535819
\(585\) 3.23710 + 3.92208i 0.133837 + 0.162158i
\(586\) −24.8002 18.0184i −1.02449 0.744333i
\(587\) 40.9920 + 18.2508i 1.69192 + 0.753291i 0.999494 + 0.0318028i \(0.0101248\pi\)
0.692426 + 0.721489i \(0.256542\pi\)
\(588\) −40.7649 70.6069i −1.68112 2.91178i
\(589\) 6.39644 + 34.1439i 0.263561 + 1.40687i
\(590\) −31.0946 −1.28014
\(591\) 0.266980 + 2.54014i 0.0109821 + 0.104488i
\(592\) 24.9699 11.1173i 1.02626 0.456918i
\(593\) 0.0198935 0.0612258i 0.000816926 0.00251424i −0.950647 0.310274i \(-0.899579\pi\)
0.951464 + 0.307760i \(0.0995793\pi\)
\(594\) −9.55557 + 16.5507i −0.392070 + 0.679085i
\(595\) −1.52041 2.63343i −0.0623307 0.107960i
\(596\) −92.1987 + 19.5974i −3.77661 + 0.802743i
\(597\) 0.994847 + 3.06182i 0.0407164 + 0.125312i
\(598\) 71.7995 + 18.5223i 2.93610 + 0.757435i
\(599\) −0.280823 + 0.204030i −0.0114741 + 0.00833642i −0.593508 0.804828i \(-0.702257\pi\)
0.582033 + 0.813165i \(0.302257\pi\)
\(600\) −36.7840 + 7.81868i −1.50170 + 0.319196i
\(601\) 7.09382 + 3.15837i 0.289363 + 0.128833i 0.546285 0.837600i \(-0.316042\pi\)
−0.256922 + 0.966432i \(0.582708\pi\)
\(602\) 63.8235 28.4160i 2.60125 1.15815i
\(603\) −1.43647 4.42099i −0.0584975 0.180037i
\(604\) −41.6040 + 18.5233i −1.69284 + 0.753703i
\(605\) −11.3827 + 5.06789i −0.462771 + 0.206039i
\(606\) 6.91987 + 21.2972i 0.281101 + 0.865139i
\(607\) −8.97673 + 3.99670i −0.364354 + 0.162221i −0.580744 0.814086i \(-0.697238\pi\)
0.216390 + 0.976307i \(0.430572\pi\)
\(608\) −63.9562 28.4751i −2.59377 1.15482i
\(609\) 25.1772 5.35157i 1.02023 0.216857i
\(610\) −39.3460 + 28.5866i −1.59307 + 1.15744i
\(611\) 3.59423 + 12.9300i 0.145407 + 0.523093i
\(612\) −0.664006 2.04360i −0.0268408 0.0826076i
\(613\) −9.64964 + 2.05109i −0.389745 + 0.0828429i −0.398616 0.917118i \(-0.630510\pi\)
0.00887121 + 0.999961i \(0.497176\pi\)
\(614\) 3.56600 + 6.17649i 0.143912 + 0.249263i
\(615\) −13.1922 + 22.8495i −0.531961 + 0.921383i
\(616\) 16.0951 49.5358i 0.648492 1.99585i
\(617\) −14.1422 + 6.29653i −0.569345 + 0.253489i −0.671158 0.741315i \(-0.734203\pi\)
0.101812 + 0.994804i \(0.467536\pi\)
\(618\) −4.18489 39.8165i −0.168341 1.60166i
\(619\) −24.6697 −0.991558 −0.495779 0.868449i \(-0.665117\pi\)
−0.495779 + 0.868449i \(0.665117\pi\)
\(620\) −31.0472 29.3489i −1.24689 1.17868i
\(621\) 16.2810 + 28.1996i 0.653336 + 1.13161i
\(622\) −49.0180 21.8242i −1.96544 0.875072i
\(623\) −4.40460 3.20013i −0.176467 0.128211i
\(624\) 45.4553 + 55.0739i 1.81967 + 2.20472i
\(625\) −6.00151 −0.240060
\(626\) −10.0826 17.4635i −0.402980 0.697983i
\(627\) −21.1428 + 4.49403i −0.844360 + 0.179474i
\(628\) 20.1534 + 4.28374i 0.804209 + 0.170940i
\(629\) −0.413698 1.27323i −0.0164952 0.0507671i
\(630\) −1.52062 14.4677i −0.0605830 0.576409i
\(631\) −4.80613 5.33775i −0.191329 0.212493i 0.639846 0.768503i \(-0.278998\pi\)
−0.831175 + 0.556011i \(0.812331\pi\)
\(632\) −32.7916 + 23.8245i −1.30438 + 0.947686i
\(633\) 16.2038 7.21440i 0.644043 0.286746i
\(634\) 24.8711 27.6221i 0.987757 1.09702i
\(635\) 1.71904 16.3556i 0.0682180 0.649051i
\(636\) 76.5988 + 55.6523i 3.03734 + 2.20676i
\(637\) 21.3878 21.7908i 0.847417 0.863381i
\(638\) 12.3455 + 8.96950i 0.488761 + 0.355106i
\(639\) 5.99000 + 2.66692i 0.236961 + 0.105502i
\(640\) 3.23735 0.688121i 0.127968 0.0272004i
\(641\) 0.109729 + 1.04400i 0.00433403 + 0.0412355i 0.996475 0.0838882i \(-0.0267339\pi\)
−0.992141 + 0.125124i \(0.960067\pi\)
\(642\) 13.3032 + 40.9430i 0.525035 + 1.61589i
\(643\) 6.95018 + 1.47731i 0.274088 + 0.0582593i 0.342905 0.939370i \(-0.388589\pi\)
−0.0688168 + 0.997629i \(0.521922\pi\)
\(644\) −100.657 111.791i −3.96644 4.40518i
\(645\) 21.0360 0.828290
\(646\) −4.02034 + 6.96343i −0.158178 + 0.273973i
\(647\) 30.0989 6.39773i 1.18331 0.251521i 0.426091 0.904680i \(-0.359890\pi\)
0.757220 + 0.653160i \(0.226557\pi\)
\(648\) −8.58591 + 81.6895i −0.337287 + 3.20907i
\(649\) −10.7010 + 7.77474i −0.420052 + 0.305185i
\(650\) −11.0361 21.1689i −0.432870 0.830311i
\(651\) −32.8147 + 28.1362i −1.28611 + 1.10274i
\(652\) −43.2162 74.8527i −1.69248 2.93146i
\(653\) 19.3213 + 8.60239i 0.756101 + 0.336638i 0.748325 0.663332i \(-0.230858\pi\)
0.00777541 + 0.999970i \(0.497525\pi\)
\(654\) 84.0521 37.4224i 3.28670 1.46333i
\(655\) 4.65188 14.3170i 0.181764 0.559412i
\(656\) −42.6207 + 73.8212i −1.66406 + 2.88223i
\(657\) −0.769221 + 1.33233i −0.0300102 + 0.0519791i
\(658\) 11.8632 36.5113i 0.462478 1.42336i
\(659\) 15.7132 + 3.33994i 0.612098 + 0.130106i 0.503522 0.863983i \(-0.332037\pi\)
0.108577 + 0.994088i \(0.465371\pi\)
\(660\) 17.7881 19.7557i 0.692403 0.768991i
\(661\) 33.6816 + 14.9960i 1.31006 + 0.583277i 0.938547 0.345151i \(-0.112172\pi\)
0.371514 + 0.928428i \(0.378839\pi\)
\(662\) −0.185306 + 0.570312i −0.00720211 + 0.0221658i
\(663\) 2.91544 1.93222i 0.113226 0.0750412i
\(664\) 57.0113 + 41.4211i 2.21247 + 1.60745i
\(665\) −25.8322 + 28.6896i −1.00173 + 1.11253i
\(666\) 0.669470 6.36958i 0.0259414 0.246816i
\(667\) 23.7523 10.5752i 0.919691 0.409473i
\(668\) −22.7350 69.9712i −0.879644 2.70727i
\(669\) −30.8459 + 13.7335i −1.19257 + 0.530967i
\(670\) −2.23622 21.2762i −0.0863926 0.821971i
\(671\) −6.39306 + 19.6758i −0.246801 + 0.759576i
\(672\) −9.10594 86.6372i −0.351269 3.34210i
\(673\) 28.3421 31.4770i 1.09251 1.21335i 0.117057 0.993125i \(-0.462654\pi\)
0.975449 0.220226i \(-0.0706793\pi\)
\(674\) 53.2400 59.1290i 2.05073 2.27756i
\(675\) 3.23957 9.97037i 0.124691 0.383760i
\(676\) −36.3047 + 51.9821i −1.39633 + 1.99931i
\(677\) −37.9886 −1.46002 −0.730010 0.683437i \(-0.760484\pi\)
−0.730010 + 0.683437i \(0.760484\pi\)
\(678\) 49.1121 10.4391i 1.88614 0.400911i
\(679\) 1.96539 18.6994i 0.0754248 0.717619i
\(680\) −0.609811 5.80196i −0.0233852 0.222495i
\(681\) −55.3178 −2.11978
\(682\) −25.4136 3.29583i −0.973136 0.126204i
\(683\) −14.1526 + 24.5130i −0.541534 + 0.937964i 0.457282 + 0.889322i \(0.348823\pi\)
−0.998816 + 0.0486428i \(0.984510\pi\)
\(684\) −22.0703 + 16.0350i −0.843877 + 0.613113i
\(685\) 26.7434 11.9070i 1.02181 0.454941i
\(686\) −14.8142 + 3.14884i −0.565607 + 0.120223i
\(687\) 2.41820 + 4.18844i 0.0922599 + 0.159799i
\(688\) 67.9620 2.59103
\(689\) −12.3977 + 33.2205i −0.472316 + 1.26560i
\(690\) −19.7363 60.7422i −0.751349 2.31242i
\(691\) 0.131626 0.146186i 0.00500731 0.00556118i −0.740636 0.671907i \(-0.765476\pi\)
0.745643 + 0.666345i \(0.232142\pi\)
\(692\) 19.6413 + 8.74486i 0.746650 + 0.332430i
\(693\) −4.14076 4.59878i −0.157295 0.174693i
\(694\) −36.3375 + 26.4008i −1.37935 + 1.00216i
\(695\) −24.7209 + 11.0065i −0.937718 + 0.417499i
\(696\) 48.3033 + 10.2672i 1.83093 + 0.389177i
\(697\) 3.37772 + 2.45405i 0.127940 + 0.0929539i
\(698\) 12.1376 5.40399i 0.459413 0.204544i
\(699\) 0.834394 0.926688i 0.0315597 0.0350506i
\(700\) −5.06245 + 48.1660i −0.191343 + 1.82050i
\(701\) 11.1855 8.12675i 0.422471 0.306943i −0.356160 0.934425i \(-0.615914\pi\)
0.778631 + 0.627482i \(0.215914\pi\)
\(702\) −38.7186 + 6.50332i −1.46134 + 0.245452i
\(703\) −13.7505 + 9.99033i −0.518610 + 0.376792i
\(704\) 10.9919 12.2078i 0.414274 0.460098i
\(705\) 7.73472 8.59027i 0.291306 0.323528i
\(706\) 29.5647 + 32.8349i 1.11268 + 1.23576i
\(707\) 17.0135 0.639857
\(708\) −36.2790 + 62.8371i −1.36345 + 2.36156i
\(709\) −26.6351 29.5812i −1.00030 1.11095i −0.993824 0.110968i \(-0.964605\pi\)
−0.00647722 0.999979i \(-0.502062\pi\)
\(710\) 24.4129 + 17.7370i 0.916201 + 0.665659i
\(711\) 0.503380 + 4.78934i 0.0188782 + 0.179614i
\(712\) −5.22263 9.04585i −0.195726 0.339008i
\(713\) −26.5133 + 34.6914i −0.992932 + 1.29920i
\(714\) −10.0053 −0.374439
\(715\) 8.91246 + 4.43687i 0.333307 + 0.165929i
\(716\) 1.04553 + 0.759622i 0.0390733 + 0.0283884i
\(717\) 37.9800 8.07289i 1.41839 0.301488i
\(718\) −12.4229 21.5171i −0.463619 0.803012i
\(719\) 17.6251 30.5275i 0.657304 1.13848i −0.324007 0.946055i \(-0.605030\pi\)
0.981311 0.192429i \(-0.0616366\pi\)
\(720\) 4.37305 13.4589i 0.162974 0.501582i
\(721\) −29.7530 6.32419i −1.10806 0.235525i
\(722\) 51.1143 + 10.8647i 1.90228 + 0.404341i
\(723\) 30.0831 21.8566i 1.11880 0.812857i
\(724\) −58.1565 64.5894i −2.16137 2.40044i
\(725\) −7.64712 3.40472i −0.284007 0.126448i
\(726\) −4.28537 + 40.7726i −0.159045 + 1.51321i
\(727\) −0.406470 1.25099i −0.0150751 0.0463965i 0.943236 0.332123i \(-0.107765\pi\)
−0.958311 + 0.285727i \(0.907765\pi\)
\(728\) 99.5316 39.2760i 3.68889 1.45567i
\(729\) −11.9976 8.71674i −0.444354 0.322842i
\(730\) −4.73759 + 5.26163i −0.175346 + 0.194742i
\(731\) 0.347949 3.31051i 0.0128694 0.122444i
\(732\) 11.8626 + 112.865i 0.438453 + 4.17160i
\(733\) −4.17864 + 12.8605i −0.154342 + 0.475015i −0.998094 0.0617185i \(-0.980342\pi\)
0.843752 + 0.536733i \(0.180342\pi\)
\(734\) −7.00177 66.6174i −0.258440 2.45889i
\(735\) −25.7246 5.46793i −0.948866 0.201688i
\(736\) −27.1922 83.6890i −1.00232 3.08482i
\(737\) −6.08938 6.76294i −0.224305 0.249116i
\(738\) 9.98691 + 17.2978i 0.367623 + 0.636742i
\(739\) −10.4336 18.0716i −0.383808 0.664775i 0.607795 0.794094i \(-0.292054\pi\)
−0.991603 + 0.129319i \(0.958721\pi\)
\(740\) 6.45961 19.8806i 0.237460 0.730826i
\(741\) −34.7683 27.6217i −1.27725 1.01471i
\(742\) 82.0611 59.6209i 3.01256 2.18875i
\(743\) 1.85967 + 3.22104i 0.0682247 + 0.118169i 0.898120 0.439751i \(-0.144933\pi\)
−0.829895 + 0.557919i \(0.811600\pi\)
\(744\) −79.4690 + 23.7069i −2.91348 + 0.869136i
\(745\) −15.2026 + 26.3317i −0.556981 + 0.964719i
\(746\) −61.8862 + 44.9629i −2.26581 + 1.64621i
\(747\) 7.64875 3.40544i 0.279853 0.124599i
\(748\) −2.81481 3.12616i −0.102920 0.114304i
\(749\) 32.7077 1.19511
\(750\) −30.6419 + 53.0734i −1.11889 + 1.93797i
\(751\) 9.15454 1.94586i 0.334054 0.0710054i −0.0378311 0.999284i \(-0.512045\pi\)
0.371885 + 0.928279i \(0.378712\pi\)
\(752\) 24.9890 27.7530i 0.911253 1.01205i
\(753\) 9.40274 + 28.9386i 0.342655 + 1.05458i
\(754\) 1.93272 + 31.2893i 0.0703854 + 1.13949i
\(755\) −4.53958 + 13.9714i −0.165212 + 0.508470i
\(756\) 72.7632 + 32.3962i 2.64637 +