Properties

Label 731.2.k.a.35.2
Level 731
Weight 2
Character 731.35
Analytic conductor 5.837
Analytic rank 0
Dimension 180
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.k (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(180\)
Relative dimension: \(30\) over \(\Q(\zeta_{7})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 35.2
Character \(\chi\) = 731.35
Dual form 731.2.k.a.188.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.578512 + 2.53463i) q^{2} +(-0.698098 - 3.05857i) q^{3} +(-4.28771 - 2.06485i) q^{4} +(2.03783 - 2.55536i) q^{5} +8.15618 q^{6} +3.05620 q^{7} +(4.47222 - 5.60798i) q^{8} +(-6.16458 + 2.96870i) q^{9} +O(q^{10})\) \(q+(-0.578512 + 2.53463i) q^{2} +(-0.698098 - 3.05857i) q^{3} +(-4.28771 - 2.06485i) q^{4} +(2.03783 - 2.55536i) q^{5} +8.15618 q^{6} +3.05620 q^{7} +(4.47222 - 5.60798i) q^{8} +(-6.16458 + 2.96870i) q^{9} +(5.29796 + 6.64344i) q^{10} +(5.02063 - 2.41781i) q^{11} +(-3.32225 + 14.5557i) q^{12} +(-0.676568 + 0.848390i) q^{13} +(-1.76805 + 7.74632i) q^{14} +(-9.23833 - 4.44894i) q^{15} +(5.69253 + 7.13820i) q^{16} +(0.623490 + 0.781831i) q^{17} +(-3.95827 - 17.3423i) q^{18} +(3.90325 + 1.87971i) q^{19} +(-14.0141 + 6.74882i) q^{20} +(-2.13353 - 9.34759i) q^{21} +(3.22374 + 14.1241i) q^{22} +(-1.03092 + 0.496463i) q^{23} +(-20.2744 - 9.76365i) q^{24} +(-1.26450 - 5.54012i) q^{25} +(-1.75895 - 2.20565i) q^{26} +(7.51538 + 9.42398i) q^{27} +(-13.1041 - 6.31060i) q^{28} +(2.12087 - 9.29215i) q^{29} +(16.6209 - 20.8419i) q^{30} +(0.218326 - 0.956549i) q^{31} +(-8.46079 + 4.07450i) q^{32} +(-10.8999 - 13.6681i) q^{33} +(-2.34235 + 1.12801i) q^{34} +(6.22801 - 7.80968i) q^{35} +32.5619 q^{36} -5.02879 q^{37} +(-7.02244 + 8.80586i) q^{38} +(3.06717 + 1.47707i) q^{39} +(-5.21678 - 22.8562i) q^{40} +(-2.02132 + 8.85598i) q^{41} +24.9269 q^{42} +(5.59081 + 3.42678i) q^{43} -26.5194 q^{44} +(-4.97626 + 21.8024i) q^{45} +(-0.661950 - 2.90019i) q^{46} +(-7.76513 - 3.73949i) q^{47} +(17.8587 - 22.3941i) q^{48} +2.34035 q^{49} +14.7736 q^{50} +(1.95603 - 2.45278i) q^{51} +(4.65273 - 2.24064i) q^{52} +(2.59121 + 3.24927i) q^{53} +(-28.2340 + 13.5968i) q^{54} +(4.05282 - 17.7566i) q^{55} +(13.6680 - 17.1391i) q^{56} +(3.02436 - 13.2506i) q^{57} +(22.3252 + 10.7512i) q^{58} +(3.12715 + 3.92132i) q^{59} +(30.4249 + 38.1516i) q^{60} +(-0.743535 - 3.25764i) q^{61} +(2.29819 + 1.10675i) q^{62} +(-18.8402 + 9.07295i) q^{63} +(-1.36939 - 5.99968i) q^{64} +(0.789208 + 3.45775i) q^{65} +(40.9491 - 19.7201i) q^{66} +(-4.28531 - 2.06370i) q^{67} +(-1.05898 - 4.63969i) q^{68} +(2.23814 + 2.80654i) q^{69} +(16.1916 + 20.3037i) q^{70} +(-2.86068 - 1.37763i) q^{71} +(-10.9209 + 47.8475i) q^{72} +(3.10131 - 3.88892i) q^{73} +(2.90921 - 12.7461i) q^{74} +(-16.0621 + 7.73508i) q^{75} +(-12.8547 - 16.1193i) q^{76} +(15.3440 - 7.38930i) q^{77} +(-5.51821 + 6.91962i) q^{78} -15.6559 q^{79} +29.8410 q^{80} +(10.7793 - 13.5169i) q^{81} +(-21.2772 - 10.2466i) q^{82} +(0.428483 + 1.87731i) q^{83} +(-10.1535 + 44.4852i) q^{84} +3.26842 q^{85} +(-11.9200 + 12.1882i) q^{86} -29.9012 q^{87} +(8.89432 - 38.9686i) q^{88} +(2.26273 + 9.91369i) q^{89} +(-52.3821 - 25.2259i) q^{90} +(-2.06773 + 2.59285i) q^{91} +5.44539 q^{92} -3.07808 q^{93} +(13.9704 - 17.5184i) q^{94} +(12.7575 - 6.14368i) q^{95} +(18.3686 + 23.0335i) q^{96} +(7.96964 - 3.83798i) q^{97} +(-1.35392 + 5.93191i) q^{98} +(-23.7723 + 29.8095i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 180q - 4q^{2} - 6q^{3} - 34q^{4} - 6q^{5} - 14q^{6} + 66q^{7} + 2q^{8} - 26q^{9} + O(q^{10}) \) \( 180q - 4q^{2} - 6q^{3} - 34q^{4} - 6q^{5} - 14q^{6} + 66q^{7} + 2q^{8} - 26q^{9} - 8q^{10} - 12q^{11} - 24q^{12} - 5q^{13} - 8q^{14} - q^{15} - 58q^{16} - 30q^{17} + 36q^{18} - 24q^{19} - 36q^{20} - 28q^{21} + 5q^{22} + 27q^{23} - 46q^{24} - 38q^{25} + 6q^{26} - 36q^{27} - 54q^{28} + 28q^{29} - 21q^{30} + 36q^{31} + 11q^{32} + 5q^{33} - 4q^{34} + 6q^{35} + 192q^{36} + 164q^{37} + 32q^{38} - 34q^{39} + 2q^{40} + 42q^{41} - 2q^{42} - 22q^{43} + 14q^{44} + 58q^{45} - 53q^{46} + 21q^{47} - 20q^{48} + 166q^{49} + 18q^{50} - 6q^{51} + 54q^{52} + 8q^{53} - 154q^{54} - 5q^{55} - 35q^{56} + 8q^{57} + 9q^{58} - 13q^{59} - 88q^{60} - 34q^{61} - 36q^{62} - 31q^{63} - 18q^{64} + 9q^{65} + 222q^{66} - 48q^{67} - 27q^{68} + 2q^{69} - 64q^{70} - 42q^{71} + 77q^{72} - 44q^{73} - 35q^{74} - 21q^{75} + 44q^{76} - 32q^{77} + 124q^{78} - 96q^{79} + 490q^{80} - 12q^{81} - 130q^{82} - 8q^{83} + 170q^{84} + 22q^{85} - 12q^{86} - 90q^{87} - 122q^{88} - 81q^{89} + 49q^{90} - 27q^{91} - 116q^{92} + 18q^{93} - 124q^{94} + 117q^{95} + 52q^{96} - 79q^{97} - 54q^{98} - 39q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.578512 + 2.53463i −0.409070 + 1.79225i 0.179449 + 0.983767i \(0.442569\pi\)
−0.588519 + 0.808484i \(0.700289\pi\)
\(3\) −0.698098 3.05857i −0.403047 1.76586i −0.614943 0.788572i \(-0.710821\pi\)
0.211896 0.977292i \(-0.432036\pi\)
\(4\) −4.28771 2.06485i −2.14386 1.03243i
\(5\) 2.03783 2.55536i 0.911345 1.14279i −0.0779645 0.996956i \(-0.524842\pi\)
0.989309 0.145834i \(-0.0465865\pi\)
\(6\) 8.15618 3.32975
\(7\) 3.05620 1.15513 0.577567 0.816343i \(-0.304002\pi\)
0.577567 + 0.816343i \(0.304002\pi\)
\(8\) 4.47222 5.60798i 1.58117 1.98272i
\(9\) −6.16458 + 2.96870i −2.05486 + 0.989568i
\(10\) 5.29796 + 6.64344i 1.67536 + 2.10084i
\(11\) 5.02063 2.41781i 1.51378 0.728996i 0.521525 0.853236i \(-0.325364\pi\)
0.992252 + 0.124240i \(0.0396492\pi\)
\(12\) −3.32225 + 14.5557i −0.959051 + 4.20188i
\(13\) −0.676568 + 0.848390i −0.187646 + 0.235301i −0.866752 0.498740i \(-0.833796\pi\)
0.679106 + 0.734041i \(0.262368\pi\)
\(14\) −1.76805 + 7.74632i −0.472530 + 2.07029i
\(15\) −9.23833 4.44894i −2.38533 1.14871i
\(16\) 5.69253 + 7.13820i 1.42313 + 1.78455i
\(17\) 0.623490 + 0.781831i 0.151218 + 0.189622i
\(18\) −3.95827 17.3423i −0.932974 4.08763i
\(19\) 3.90325 + 1.87971i 0.895468 + 0.431235i 0.824250 0.566226i \(-0.191597\pi\)
0.0712181 + 0.997461i \(0.477311\pi\)
\(20\) −14.0141 + 6.74882i −3.13364 + 1.50908i
\(21\) −2.13353 9.34759i −0.465573 2.03981i
\(22\) 3.22374 + 14.1241i 0.687305 + 3.01128i
\(23\) −1.03092 + 0.496463i −0.214961 + 0.103520i −0.538266 0.842775i \(-0.680920\pi\)
0.323305 + 0.946295i \(0.395206\pi\)
\(24\) −20.2744 9.76365i −4.13850 1.99300i
\(25\) −1.26450 5.54012i −0.252899 1.10802i
\(26\) −1.75895 2.20565i −0.344958 0.432564i
\(27\) 7.51538 + 9.42398i 1.44633 + 1.81365i
\(28\) −13.1041 6.31060i −2.47644 1.19259i
\(29\) 2.12087 9.29215i 0.393836 1.72551i −0.257108 0.966383i \(-0.582769\pi\)
0.650944 0.759126i \(-0.274373\pi\)
\(30\) 16.6209 20.8419i 3.03455 3.80520i
\(31\) 0.218326 0.956549i 0.0392125 0.171801i −0.951530 0.307556i \(-0.900489\pi\)
0.990742 + 0.135755i \(0.0433460\pi\)
\(32\) −8.46079 + 4.07450i −1.49567 + 0.720277i
\(33\) −10.8999 13.6681i −1.89743 2.37930i
\(34\) −2.34235 + 1.12801i −0.401709 + 0.193453i
\(35\) 6.22801 7.80968i 1.05273 1.32008i
\(36\) 32.5619 5.42698
\(37\) −5.02879 −0.826728 −0.413364 0.910566i \(-0.635646\pi\)
−0.413364 + 0.910566i \(0.635646\pi\)
\(38\) −7.02244 + 8.80586i −1.13919 + 1.42850i
\(39\) 3.06717 + 1.47707i 0.491140 + 0.236520i
\(40\) −5.21678 22.8562i −0.824846 3.61389i
\(41\) −2.02132 + 8.85598i −0.315677 + 1.38307i 0.529375 + 0.848388i \(0.322426\pi\)
−0.845052 + 0.534684i \(0.820431\pi\)
\(42\) 24.9269 3.84630
\(43\) 5.59081 + 3.42678i 0.852591 + 0.522579i
\(44\) −26.5194 −3.99796
\(45\) −4.97626 + 21.8024i −0.741816 + 3.25011i
\(46\) −0.661950 2.90019i −0.0975992 0.427610i
\(47\) −7.76513 3.73949i −1.13266 0.545460i −0.228879 0.973455i \(-0.573506\pi\)
−0.903781 + 0.427994i \(0.859220\pi\)
\(48\) 17.8587 22.3941i 2.57769 3.23231i
\(49\) 2.34035 0.334336
\(50\) 14.7736 2.08931
\(51\) 1.95603 2.45278i 0.273898 0.343458i
\(52\) 4.65273 2.24064i 0.645218 0.310721i
\(53\) 2.59121 + 3.24927i 0.355930 + 0.446322i 0.927271 0.374391i \(-0.122148\pi\)
−0.571341 + 0.820713i \(0.693577\pi\)
\(54\) −28.2340 + 13.5968i −3.84216 + 1.85029i
\(55\) 4.05282 17.7566i 0.546482 2.39430i
\(56\) 13.6680 17.1391i 1.82646 2.29031i
\(57\) 3.02436 13.2506i 0.400586 1.75508i
\(58\) 22.3252 + 10.7512i 2.93144 + 1.41171i
\(59\) 3.12715 + 3.92132i 0.407120 + 0.510512i 0.942549 0.334068i \(-0.108422\pi\)
−0.535429 + 0.844580i \(0.679850\pi\)
\(60\) 30.4249 + 38.1516i 3.92784 + 4.92535i
\(61\) −0.743535 3.25764i −0.0951999 0.417098i 0.904761 0.425919i \(-0.140049\pi\)
−0.999961 + 0.00882124i \(0.997192\pi\)
\(62\) 2.29819 + 1.10675i 0.291870 + 0.140557i
\(63\) −18.8402 + 9.07295i −2.37364 + 1.14308i
\(64\) −1.36939 5.99968i −0.171174 0.749961i
\(65\) 0.789208 + 3.45775i 0.0978892 + 0.428881i
\(66\) 40.9491 19.7201i 5.04049 2.42737i
\(67\) −4.28531 2.06370i −0.523534 0.252121i 0.153400 0.988164i \(-0.450978\pi\)
−0.676934 + 0.736044i \(0.736692\pi\)
\(68\) −1.05898 4.63969i −0.128420 0.562644i
\(69\) 2.23814 + 2.80654i 0.269441 + 0.337868i
\(70\) 16.1916 + 20.3037i 1.93527 + 2.42675i
\(71\) −2.86068 1.37763i −0.339501 0.163495i 0.256363 0.966581i \(-0.417476\pi\)
−0.595863 + 0.803086i \(0.703190\pi\)
\(72\) −10.9209 + 47.8475i −1.28704 + 5.63889i
\(73\) 3.10131 3.88892i 0.362981 0.455164i −0.566485 0.824072i \(-0.691697\pi\)
0.929466 + 0.368908i \(0.120268\pi\)
\(74\) 2.90921 12.7461i 0.338189 1.48170i
\(75\) −16.0621 + 7.73508i −1.85469 + 0.893171i
\(76\) −12.8547 16.1193i −1.47454 1.84901i
\(77\) 15.3440 7.38930i 1.74862 0.842089i
\(78\) −5.51821 + 6.91962i −0.624814 + 0.783492i
\(79\) −15.6559 −1.76142 −0.880711 0.473653i \(-0.842935\pi\)
−0.880711 + 0.473653i \(0.842935\pi\)
\(80\) 29.8410 3.33633
\(81\) 10.7793 13.5169i 1.19771 1.50187i
\(82\) −21.2772 10.2466i −2.34968 1.13155i
\(83\) 0.428483 + 1.87731i 0.0470321 + 0.206061i 0.992985 0.118244i \(-0.0377266\pi\)
−0.945952 + 0.324305i \(0.894869\pi\)
\(84\) −10.1535 + 44.4852i −1.10783 + 4.85373i
\(85\) 3.26842 0.354510
\(86\) −11.9200 + 12.1882i −1.28536 + 1.31429i
\(87\) −29.9012 −3.20575
\(88\) 8.89432 38.9686i 0.948138 4.15406i
\(89\) 2.26273 + 9.91369i 0.239849 + 1.05085i 0.941152 + 0.337985i \(0.109745\pi\)
−0.701302 + 0.712864i \(0.747398\pi\)
\(90\) −52.3821 25.2259i −5.52156 2.65904i
\(91\) −2.06773 + 2.59285i −0.216757 + 0.271804i
\(92\) 5.44539 0.567721
\(93\) −3.07808 −0.319182
\(94\) 13.9704 17.5184i 1.44094 1.80688i
\(95\) 12.7575 6.14368i 1.30889 0.630329i
\(96\) 18.3686 + 23.0335i 1.87474 + 2.35084i
\(97\) 7.96964 3.83798i 0.809195 0.389688i 0.0169236 0.999857i \(-0.494613\pi\)
0.792271 + 0.610169i \(0.208899\pi\)
\(98\) −1.35392 + 5.93191i −0.136767 + 0.599214i
\(99\) −23.7723 + 29.8095i −2.38921 + 2.99597i
\(100\) −6.01774 + 26.3654i −0.601774 + 2.63654i
\(101\) −13.2224 6.36758i −1.31568 0.633598i −0.361371 0.932422i \(-0.617691\pi\)
−0.954308 + 0.298825i \(0.903405\pi\)
\(102\) 5.08529 + 6.37676i 0.503519 + 0.631393i
\(103\) −9.79172 12.2784i −0.964807 1.20983i −0.977720 0.209913i \(-0.932682\pi\)
0.0129132 0.999917i \(-0.495889\pi\)
\(104\) 1.73200 + 7.58837i 0.169836 + 0.744101i
\(105\) −28.2342 13.5969i −2.75537 1.32692i
\(106\) −9.73473 + 4.68800i −0.945521 + 0.455339i
\(107\) 3.23400 + 14.1691i 0.312642 + 1.36978i 0.850161 + 0.526523i \(0.176505\pi\)
−0.537518 + 0.843252i \(0.680638\pi\)
\(108\) −12.7646 55.9255i −1.22828 5.38143i
\(109\) −3.90981 + 1.88286i −0.374492 + 0.180346i −0.611656 0.791124i \(-0.709496\pi\)
0.237164 + 0.971470i \(0.423782\pi\)
\(110\) 42.6617 + 20.5448i 4.06763 + 1.95887i
\(111\) 3.51059 + 15.3809i 0.333210 + 1.45989i
\(112\) 17.3975 + 21.8158i 1.64391 + 2.06140i
\(113\) 8.11514 + 10.1761i 0.763408 + 0.957283i 0.999897 0.0143508i \(-0.00456816\pi\)
−0.236489 + 0.971634i \(0.575997\pi\)
\(114\) 31.8356 + 15.3312i 2.98168 + 1.43590i
\(115\) −0.832190 + 3.64606i −0.0776021 + 0.339997i
\(116\) −28.2806 + 35.4628i −2.62579 + 3.29264i
\(117\) 1.65214 7.23850i 0.152740 0.669199i
\(118\) −11.7482 + 5.65762i −1.08151 + 0.520826i
\(119\) 1.90551 + 2.38943i 0.174678 + 0.219039i
\(120\) −66.2654 + 31.9117i −6.04918 + 2.91313i
\(121\) 12.5025 15.6777i 1.13659 1.42524i
\(122\) 8.68704 0.786488
\(123\) 28.4977 2.56955
\(124\) −2.91125 + 3.65060i −0.261438 + 0.327833i
\(125\) −2.01006 0.967992i −0.179785 0.0865798i
\(126\) −12.0973 53.0016i −1.07771 4.72176i
\(127\) −2.16268 + 9.47531i −0.191907 + 0.840798i 0.783677 + 0.621169i \(0.213342\pi\)
−0.975583 + 0.219629i \(0.929515\pi\)
\(128\) −2.78237 −0.245929
\(129\) 6.57810 19.4921i 0.579169 1.71618i
\(130\) −9.22066 −0.808705
\(131\) 0.579918 2.54079i 0.0506676 0.221989i −0.943255 0.332069i \(-0.892253\pi\)
0.993923 + 0.110079i \(0.0351105\pi\)
\(132\) 18.5132 + 81.1115i 1.61136 + 7.05985i
\(133\) 11.9291 + 5.74476i 1.03439 + 0.498134i
\(134\) 7.70980 9.66778i 0.666025 0.835169i
\(135\) 39.3967 3.39073
\(136\) 7.17288 0.615069
\(137\) 4.72593 5.92613i 0.403764 0.506303i −0.537831 0.843053i \(-0.680756\pi\)
0.941594 + 0.336749i \(0.109327\pi\)
\(138\) −8.40833 + 4.04924i −0.715764 + 0.344694i
\(139\) −6.18778 7.75924i −0.524841 0.658130i 0.446788 0.894640i \(-0.352568\pi\)
−0.971629 + 0.236510i \(0.923996\pi\)
\(140\) −42.8298 + 20.6257i −3.61978 + 1.74319i
\(141\) −6.01665 + 26.3607i −0.506694 + 2.21997i
\(142\) 5.14672 6.45378i 0.431903 0.541589i
\(143\) −1.34556 + 5.89526i −0.112521 + 0.492987i
\(144\) −56.2832 27.1046i −4.69027 2.25872i
\(145\) −19.4228 24.3554i −1.61297 2.02261i
\(146\) 8.06282 + 10.1105i 0.667284 + 0.836748i
\(147\) −1.63379 7.15812i −0.134753 0.590392i
\(148\) 21.5620 + 10.3837i 1.77239 + 0.853536i
\(149\) 15.7019 7.56162i 1.28635 0.619472i 0.339334 0.940666i \(-0.389798\pi\)
0.947013 + 0.321194i \(0.104084\pi\)
\(150\) −10.3134 45.1862i −0.842089 3.68944i
\(151\) 1.31604 + 5.76596i 0.107098 + 0.469227i 0.999826 + 0.0186321i \(0.00593111\pi\)
−0.892728 + 0.450595i \(0.851212\pi\)
\(152\) 27.9976 13.4829i 2.27090 1.09361i
\(153\) −6.16458 2.96870i −0.498377 0.240006i
\(154\) 9.85240 + 43.1662i 0.793929 + 3.47843i
\(155\) −1.99941 2.50718i −0.160597 0.201382i
\(156\) −10.1012 12.6665i −0.808743 1.01413i
\(157\) 8.55776 + 4.12120i 0.682984 + 0.328908i 0.743002 0.669290i \(-0.233402\pi\)
−0.0600179 + 0.998197i \(0.519116\pi\)
\(158\) 9.05710 39.6818i 0.720545 3.15691i
\(159\) 8.12919 10.1937i 0.644687 0.808412i
\(160\) −6.82983 + 29.9235i −0.539946 + 2.36566i
\(161\) −3.15068 + 1.51729i −0.248308 + 0.119579i
\(162\) 28.0242 + 35.1413i 2.20179 + 2.76096i
\(163\) −18.7775 + 9.04276i −1.47077 + 0.708284i −0.986059 0.166393i \(-0.946788\pi\)
−0.484706 + 0.874677i \(0.661074\pi\)
\(164\) 26.9531 33.7982i 2.10469 2.63919i
\(165\) −57.1389 −4.44826
\(166\) −5.00615 −0.388553
\(167\) −0.634901 + 0.796141i −0.0491301 + 0.0616072i −0.805789 0.592202i \(-0.798259\pi\)
0.756659 + 0.653809i \(0.226830\pi\)
\(168\) −61.9627 29.8397i −4.78053 2.30218i
\(169\) 2.63075 + 11.5261i 0.202366 + 0.886621i
\(170\) −1.89082 + 8.28423i −0.145019 + 0.635371i
\(171\) −29.6422 −2.26680
\(172\) −16.8960 26.2373i −1.28831 2.00057i
\(173\) 2.62288 0.199414 0.0997070 0.995017i \(-0.468209\pi\)
0.0997070 + 0.995017i \(0.468209\pi\)
\(174\) 17.2982 75.7884i 1.31137 5.74551i
\(175\) −3.86455 16.9317i −0.292132 1.27992i
\(176\) 45.8389 + 22.0748i 3.45524 + 1.66395i
\(177\) 9.81055 12.3020i 0.737406 0.924678i
\(178\) −26.4365 −1.98150
\(179\) 14.5492 1.08746 0.543730 0.839260i \(-0.317011\pi\)
0.543730 + 0.839260i \(0.317011\pi\)
\(180\) 66.3555 83.2072i 4.94585 6.20190i
\(181\) −2.37550 + 1.14398i −0.176570 + 0.0850314i −0.520080 0.854117i \(-0.674098\pi\)
0.343511 + 0.939149i \(0.388384\pi\)
\(182\) −5.37569 6.74091i −0.398473 0.499669i
\(183\) −9.44464 + 4.54830i −0.698168 + 0.336220i
\(184\) −1.82632 + 8.00164i −0.134638 + 0.589889i
\(185\) −10.2478 + 12.8503i −0.753434 + 0.944776i
\(186\) 1.78071 7.80178i 0.130568 0.572054i
\(187\) 5.02063 + 2.41781i 0.367145 + 0.176808i
\(188\) 25.5731 + 32.0677i 1.86511 + 2.33878i
\(189\) 22.9685 + 28.8016i 1.67071 + 2.09501i
\(190\) 8.19158 + 35.8897i 0.594280 + 2.60371i
\(191\) 5.34490 + 2.57397i 0.386744 + 0.186246i 0.617144 0.786850i \(-0.288289\pi\)
−0.230401 + 0.973096i \(0.574004\pi\)
\(192\) −17.3945 + 8.37673i −1.25534 + 0.604539i
\(193\) 0.892707 + 3.91120i 0.0642584 + 0.281535i 0.996841 0.0794219i \(-0.0253074\pi\)
−0.932583 + 0.360957i \(0.882450\pi\)
\(194\) 5.11731 + 22.4204i 0.367401 + 1.60969i
\(195\) 10.0248 4.82769i 0.717891 0.345718i
\(196\) −10.0348 4.83248i −0.716768 0.345177i
\(197\) −1.44911 6.34897i −0.103245 0.452346i −0.999953 0.00972263i \(-0.996905\pi\)
0.896708 0.442623i \(-0.145952\pi\)
\(198\) −61.8034 77.4991i −4.39218 5.50762i
\(199\) −0.233766 0.293133i −0.0165712 0.0207796i 0.773477 0.633825i \(-0.218516\pi\)
−0.790048 + 0.613045i \(0.789944\pi\)
\(200\) −36.7240 17.6853i −2.59678 1.25054i
\(201\) −3.32039 + 14.5476i −0.234202 + 1.02611i
\(202\) 23.7887 29.8301i 1.67377 2.09884i
\(203\) 6.48181 28.3987i 0.454934 1.99319i
\(204\) −13.4515 + 6.47791i −0.941794 + 0.453544i
\(205\) 18.5111 + 23.2122i 1.29287 + 1.62121i
\(206\) 36.7858 17.7151i 2.56299 1.23427i
\(207\) 4.88131 6.12096i 0.339274 0.425436i
\(208\) −9.90736 −0.686952
\(209\) 24.1416 1.66991
\(210\) 50.7967 63.6971i 3.50531 4.39552i
\(211\) 15.2032 + 7.32149i 1.04663 + 0.504032i 0.876507 0.481390i \(-0.159868\pi\)
0.170127 + 0.985422i \(0.445582\pi\)
\(212\) −4.40108 19.2824i −0.302268 1.32432i
\(213\) −2.21654 + 9.71131i −0.151875 + 0.665408i
\(214\) −37.7842 −2.58287
\(215\) 20.1498 7.30333i 1.37420 0.498083i
\(216\) 86.4599 5.88285
\(217\) 0.667248 2.92340i 0.0452957 0.198454i
\(218\) −2.51049 10.9992i −0.170032 0.744957i
\(219\) −14.0596 6.77072i −0.950056 0.457523i
\(220\) −54.0421 + 67.7666i −3.64352 + 4.56882i
\(221\) −1.08513 −0.0729938
\(222\) −41.0157 −2.75279
\(223\) −4.52613 + 5.67559i −0.303092 + 0.380065i −0.909931 0.414759i \(-0.863866\pi\)
0.606839 + 0.794825i \(0.292437\pi\)
\(224\) −25.8578 + 12.4525i −1.72770 + 0.832016i
\(225\) 24.2420 + 30.3986i 1.61614 + 2.02657i
\(226\) −30.4872 + 14.6819i −2.02798 + 0.976623i
\(227\) −5.59685 + 24.5214i −0.371476 + 1.62754i 0.351161 + 0.936315i \(0.385787\pi\)
−0.722637 + 0.691228i \(0.757070\pi\)
\(228\) −40.3281 + 50.5698i −2.67079 + 3.34907i
\(229\) 2.50197 10.9618i 0.165335 0.724378i −0.822487 0.568785i \(-0.807414\pi\)
0.987821 0.155594i \(-0.0497291\pi\)
\(230\) −8.75997 4.21858i −0.577615 0.278165i
\(231\) −33.3123 41.7723i −2.19179 2.74842i
\(232\) −42.6252 53.4503i −2.79848 3.50919i
\(233\) 4.28239 + 18.7624i 0.280549 + 1.22917i 0.897092 + 0.441844i \(0.145676\pi\)
−0.616543 + 0.787321i \(0.711467\pi\)
\(234\) 17.3911 + 8.37511i 1.13689 + 0.547498i
\(235\) −25.3797 + 12.2222i −1.65559 + 0.797290i
\(236\) −5.31136 23.2706i −0.345740 1.51479i
\(237\) 10.9293 + 47.8845i 0.709936 + 3.11043i
\(238\) −7.15868 + 3.44744i −0.464028 + 0.223464i
\(239\) −2.86543 1.37992i −0.185349 0.0892594i 0.338908 0.940820i \(-0.389943\pi\)
−0.524257 + 0.851560i \(0.675657\pi\)
\(240\) −20.8320 91.2708i −1.34470 5.89151i
\(241\) −7.72827 9.69094i −0.497821 0.624248i 0.467915 0.883774i \(-0.345005\pi\)
−0.965736 + 0.259525i \(0.916434\pi\)
\(242\) 32.5042 + 40.7590i 2.08945 + 2.62009i
\(243\) −16.2872 7.84350i −1.04482 0.503161i
\(244\) −3.53848 + 15.5031i −0.226528 + 0.992485i
\(245\) 4.76923 5.98043i 0.304695 0.382076i
\(246\) −16.4862 + 72.2309i −1.05112 + 4.60528i
\(247\) −4.23554 + 2.03973i −0.269501 + 0.129785i
\(248\) −4.38791 5.50226i −0.278632 0.349394i
\(249\) 5.44274 2.62109i 0.344920 0.166105i
\(250\) 3.61634 4.53474i 0.228717 0.286802i
\(251\) −13.1826 −0.832077 −0.416039 0.909347i \(-0.636582\pi\)
−0.416039 + 0.909347i \(0.636582\pi\)
\(252\) 99.5156 6.26889
\(253\) −3.97549 + 4.98511i −0.249937 + 0.313411i
\(254\) −22.7652 10.9632i −1.42842 0.687890i
\(255\) −2.28168 9.99669i −0.142884 0.626017i
\(256\) 4.34841 19.0516i 0.271776 1.19073i
\(257\) −7.04564 −0.439495 −0.219747 0.975557i \(-0.570523\pi\)
−0.219747 + 0.975557i \(0.570523\pi\)
\(258\) 45.5997 + 27.9494i 2.83891 + 1.74005i
\(259\) −15.3690 −0.954982
\(260\) 3.75584 16.4554i 0.232928 1.02052i
\(261\) 14.5114 + 63.5784i 0.898231 + 3.93541i
\(262\) 6.10445 + 2.93975i 0.377134 + 0.181618i
\(263\) 6.01134 7.53798i 0.370675 0.464812i −0.561153 0.827712i \(-0.689642\pi\)
0.931828 + 0.362900i \(0.118213\pi\)
\(264\) −125.397 −7.71765
\(265\) 13.5835 0.834427
\(266\) −21.4620 + 26.9124i −1.31592 + 1.65011i
\(267\) 28.7421 13.8414i 1.75899 0.847083i
\(268\) 14.1129 + 17.6971i 0.862085 + 1.08102i
\(269\) 6.00647 2.89256i 0.366221 0.176363i −0.241718 0.970347i \(-0.577711\pi\)
0.607939 + 0.793984i \(0.291997\pi\)
\(270\) −22.7914 + 99.8558i −1.38704 + 6.07703i
\(271\) −0.579135 + 0.726213i −0.0351800 + 0.0441143i −0.799110 0.601184i \(-0.794696\pi\)
0.763930 + 0.645299i \(0.223267\pi\)
\(272\) −2.03164 + 8.90119i −0.123186 + 0.539714i
\(273\) 9.37387 + 4.51422i 0.567333 + 0.273213i
\(274\) 12.2865 + 15.4068i 0.742256 + 0.930759i
\(275\) −19.7435 24.7576i −1.19058 1.49294i
\(276\) −3.80142 16.6551i −0.228818 1.00252i
\(277\) −16.5262 7.95860i −0.992963 0.478186i −0.134418 0.990925i \(-0.542917\pi\)
−0.858545 + 0.512739i \(0.828631\pi\)
\(278\) 23.2465 11.1949i 1.39423 0.671426i
\(279\) 1.49382 + 6.54487i 0.0894328 + 0.391831i
\(280\) −15.9435 69.8531i −0.952808 4.17452i
\(281\) −6.42561 + 3.09441i −0.383320 + 0.184597i −0.615613 0.788049i \(-0.711091\pi\)
0.232293 + 0.972646i \(0.425377\pi\)
\(282\) −63.3338 30.4999i −3.77147 1.81624i
\(283\) 2.89652 + 12.6905i 0.172180 + 0.754372i 0.985098 + 0.171993i \(0.0550207\pi\)
−0.812918 + 0.582379i \(0.802122\pi\)
\(284\) 9.42118 + 11.8138i 0.559044 + 0.701019i
\(285\) −27.6968 34.7307i −1.64062 2.05727i
\(286\) −14.1639 6.82096i −0.837527 0.403332i
\(287\) −6.17755 + 27.0656i −0.364649 + 1.59763i
\(288\) 40.0612 50.2351i 2.36063 2.96013i
\(289\) −0.222521 + 0.974928i −0.0130895 + 0.0573487i
\(290\) 72.9681 35.1396i 4.28483 2.06347i
\(291\) −17.3023 21.6964i −1.01428 1.27187i
\(292\) −21.3276 + 10.2708i −1.24810 + 0.601055i
\(293\) −12.2343 + 15.3413i −0.714733 + 0.896247i −0.998027 0.0627860i \(-0.980001\pi\)
0.283294 + 0.959033i \(0.408573\pi\)
\(294\) 19.0883 1.11325
\(295\) 16.3929 0.954434
\(296\) −22.4898 + 28.2014i −1.30720 + 1.63917i
\(297\) 60.5173 + 29.1436i 3.51157 + 1.69108i
\(298\) 10.0822 + 44.1728i 0.584044 + 2.55886i
\(299\) 0.276291 1.21051i 0.0159783 0.0700055i
\(300\) 84.8414 4.89832
\(301\) 17.0866 + 10.4729i 0.984857 + 0.603649i
\(302\) −15.3759 −0.884784
\(303\) −10.2451 + 44.8868i −0.588567 + 2.57868i
\(304\) 8.80164 + 38.5625i 0.504809 + 2.21171i
\(305\) −9.83963 4.73851i −0.563415 0.271327i
\(306\) 11.0908 13.9075i 0.634021 0.795037i
\(307\) 17.2360 0.983708 0.491854 0.870678i \(-0.336319\pi\)
0.491854 + 0.870678i \(0.336319\pi\)
\(308\) −81.0487 −4.61818
\(309\) −30.7188 + 38.5202i −1.74753 + 2.19134i
\(310\) 7.51145 3.61733i 0.426622 0.205450i
\(311\) 11.3547 + 14.2384i 0.643868 + 0.807385i 0.991481 0.130253i \(-0.0415790\pi\)
−0.347613 + 0.937638i \(0.613008\pi\)
\(312\) 22.0004 10.5948i 1.24553 0.599815i
\(313\) 3.15377 13.8176i 0.178262 0.781015i −0.804171 0.594398i \(-0.797390\pi\)
0.982433 0.186617i \(-0.0597524\pi\)
\(314\) −15.3965 + 19.3066i −0.868873 + 1.08953i
\(315\) −15.2084 + 66.6325i −0.856898 + 3.75431i
\(316\) 67.1279 + 32.3271i 3.77624 + 1.81854i
\(317\) 16.7348 + 20.9847i 0.939918 + 1.17862i 0.983743 + 0.179580i \(0.0574739\pi\)
−0.0438258 + 0.999039i \(0.513955\pi\)
\(318\) 21.1343 + 26.5016i 1.18516 + 1.48614i
\(319\) −11.8185 51.7803i −0.661710 2.89914i
\(320\) −18.1219 8.72705i −1.01305 0.487857i
\(321\) 41.0794 19.7828i 2.29283 1.10417i
\(322\) −2.02305 8.86357i −0.112740 0.493947i
\(323\) 0.964024 + 4.22367i 0.0536398 + 0.235011i
\(324\) −74.1291 + 35.6987i −4.11829 + 1.98326i
\(325\) 5.55570 + 2.67548i 0.308175 + 0.148409i
\(326\) −12.0570 52.8252i −0.667776 2.92572i
\(327\) 8.48829 + 10.6440i 0.469404 + 0.588613i
\(328\) 40.6244 + 50.9414i 2.24311 + 2.81277i
\(329\) −23.7318 11.4286i −1.30838 0.630080i
\(330\) 33.0555 144.826i 1.81965 7.97240i
\(331\) 3.69090 4.62825i 0.202870 0.254391i −0.669980 0.742379i \(-0.733697\pi\)
0.872851 + 0.487988i \(0.162269\pi\)
\(332\) 2.03915 8.93411i 0.111913 0.490323i
\(333\) 31.0004 14.9290i 1.69881 0.818104i
\(334\) −1.65062 2.06981i −0.0903180 0.113255i
\(335\) −14.0062 + 6.74503i −0.765241 + 0.368520i
\(336\) 54.5798 68.4409i 2.97757 3.73376i
\(337\) −9.85050 −0.536591 −0.268296 0.963337i \(-0.586460\pi\)
−0.268296 + 0.963337i \(0.586460\pi\)
\(338\) −30.7362 −1.67183
\(339\) 25.4590 31.9246i 1.38274 1.73390i
\(340\) −14.0141 6.74882i −0.760019 0.366006i
\(341\) −1.21662 5.33035i −0.0658835 0.288655i
\(342\) 17.1484 75.1319i 0.927278 4.06267i
\(343\) −14.2408 −0.768932
\(344\) 44.2206 16.0279i 2.38422 0.864165i
\(345\) 11.7327 0.631666
\(346\) −1.51737 + 6.64802i −0.0815742 + 0.357400i
\(347\) 0.507760 + 2.22464i 0.0272580 + 0.119425i 0.986727 0.162391i \(-0.0519205\pi\)
−0.959469 + 0.281816i \(0.909063\pi\)
\(348\) 128.208 + 61.7417i 6.87267 + 3.30970i
\(349\) 15.9840 20.0433i 0.855606 1.07290i −0.140954 0.990016i \(-0.545017\pi\)
0.996560 0.0828794i \(-0.0264116\pi\)
\(350\) 45.1512 2.41343
\(351\) −13.0799 −0.698152
\(352\) −32.6271 + 40.9131i −1.73903 + 2.18068i
\(353\) 12.7941 6.16130i 0.680960 0.327933i −0.0612292 0.998124i \(-0.519502\pi\)
0.742189 + 0.670191i \(0.233788\pi\)
\(354\) 25.5056 + 31.9830i 1.35560 + 1.69987i
\(355\) −9.34992 + 4.50269i −0.496242 + 0.238978i
\(356\) 10.7684 47.1793i 0.570722 2.50050i
\(357\) 5.97801 7.49618i 0.316390 0.396740i
\(358\) −8.41690 + 36.8769i −0.444847 + 1.94900i
\(359\) −5.74330 2.76583i −0.303120 0.145975i 0.276141 0.961117i \(-0.410944\pi\)
−0.579261 + 0.815142i \(0.696659\pi\)
\(360\) 100.013 + 125.412i 5.27113 + 6.60978i
\(361\) −0.144211 0.180835i −0.00759005 0.00951762i
\(362\) −1.52531 6.68281i −0.0801684 0.351241i
\(363\) −56.6792 27.2953i −2.97489 1.43263i
\(364\) 14.2197 6.84783i 0.745314 0.358924i
\(365\) −3.61764 15.8499i −0.189356 0.829623i
\(366\) −6.06440 26.5699i −0.316991 1.38883i
\(367\) −17.2063 + 8.28612i −0.898162 + 0.432532i −0.825225 0.564805i \(-0.808951\pi\)
−0.0729370 + 0.997337i \(0.523237\pi\)
\(368\) −9.41236 4.53276i −0.490653 0.236286i
\(369\) −13.8302 60.5941i −0.719972 3.15440i
\(370\) −26.6423 33.4084i −1.38507 1.73682i
\(371\) 7.91925 + 9.93042i 0.411147 + 0.515562i
\(372\) 13.1979 + 6.35579i 0.684281 + 0.329532i
\(373\) 4.72009 20.6801i 0.244397 1.07077i −0.692568 0.721352i \(-0.743521\pi\)
0.936966 0.349422i \(-0.113622\pi\)
\(374\) −9.03273 + 11.3267i −0.467071 + 0.585689i
\(375\) −1.55745 + 6.82364i −0.0804265 + 0.352371i
\(376\) −55.6983 + 26.8229i −2.87242 + 1.38329i
\(377\) 6.44845 + 8.08610i 0.332112 + 0.416455i
\(378\) −86.2887 + 41.5545i −4.43821 + 2.13733i
\(379\) 10.9432 13.7224i 0.562116 0.704872i −0.416831 0.908984i \(-0.636859\pi\)
0.978947 + 0.204112i \(0.0654308\pi\)
\(380\) −67.3863 −3.45684
\(381\) 30.4906 1.56208
\(382\) −9.61614 + 12.0583i −0.492004 + 0.616954i
\(383\) 12.2819 + 5.91465i 0.627575 + 0.302224i 0.720506 0.693448i \(-0.243909\pi\)
−0.0929312 + 0.995673i \(0.529624\pi\)
\(384\) 1.94236 + 8.51005i 0.0991209 + 0.434277i
\(385\) 12.3862 54.2676i 0.631261 2.76573i
\(386\) −10.4299 −0.530867
\(387\) −44.6381 4.52718i −2.26908 0.230130i
\(388\) −42.0964 −2.13712
\(389\) 6.25983 27.4261i 0.317386 1.39056i −0.524734 0.851267i \(-0.675835\pi\)
0.842119 0.539291i \(-0.181308\pi\)
\(390\) 6.43692 + 28.2020i 0.325946 + 1.42806i
\(391\) −1.03092 0.496463i −0.0521356 0.0251072i
\(392\) 10.4666 13.1246i 0.528641 0.662895i
\(393\) −8.17600 −0.412425
\(394\) 16.9306 0.852951
\(395\) −31.9040 + 40.0063i −1.60526 + 2.01294i
\(396\) 163.481 78.7284i 8.21524 3.95625i
\(397\) 14.9894 + 18.7961i 0.752295 + 0.943348i 0.999673 0.0255708i \(-0.00814033\pi\)
−0.247378 + 0.968919i \(0.579569\pi\)
\(398\) 0.878218 0.422927i 0.0440211 0.0211994i
\(399\) 9.24304 40.4964i 0.462731 2.02736i
\(400\) 32.3483 40.5635i 1.61742 2.02817i
\(401\) −1.81294 + 7.94299i −0.0905337 + 0.396654i −0.999809 0.0195410i \(-0.993780\pi\)
0.909275 + 0.416195i \(0.136637\pi\)
\(402\) −34.9517 16.8319i −1.74323 0.839497i
\(403\) 0.663814 + 0.832396i 0.0330669 + 0.0414646i
\(404\) 43.5458 + 54.6047i 2.16648 + 2.71668i
\(405\) −12.5740 55.0901i −0.624805 2.73745i
\(406\) 68.2302 + 32.8579i 3.38621 + 1.63071i
\(407\) −25.2477 + 12.1586i −1.25148 + 0.602682i
\(408\) −5.00737 21.9387i −0.247902 1.08613i
\(409\) −7.22014 31.6335i −0.357013 1.56418i −0.760591 0.649231i \(-0.775091\pi\)
0.403578 0.914945i \(-0.367766\pi\)
\(410\) −69.5430 + 33.4901i −3.43448 + 1.65396i
\(411\) −21.4246 10.3176i −1.05680 0.508927i
\(412\) 16.6309 + 72.8649i 0.819347 + 3.58979i
\(413\) 9.55718 + 11.9843i 0.470278 + 0.589710i
\(414\) 12.6905 + 15.9133i 0.623702 + 0.782098i
\(415\) 5.67036 + 2.73070i 0.278347 + 0.134045i
\(416\) 2.26754 9.93472i 0.111175 0.487090i
\(417\) −19.4125 + 24.3424i −0.950632 + 1.19205i
\(418\) −13.9662 + 61.1898i −0.683108 + 2.99289i
\(419\) −9.13689 + 4.40009i −0.446366 + 0.214959i −0.643544 0.765409i \(-0.722537\pi\)
0.197178 + 0.980368i \(0.436822\pi\)
\(420\) 92.9845 + 116.599i 4.53718 + 5.68944i
\(421\) −4.65030 + 2.23947i −0.226642 + 0.109145i −0.543759 0.839241i \(-0.682999\pi\)
0.317117 + 0.948386i \(0.397285\pi\)
\(422\) −27.3525 + 34.2989i −1.33150 + 1.66965i
\(423\) 58.9702 2.86723
\(424\) 29.8103 1.44772
\(425\) 3.54304 4.44283i 0.171863 0.215509i
\(426\) −23.3322 11.2362i −1.13045 0.544396i
\(427\) −2.27239 9.95599i −0.109969 0.481804i
\(428\) 15.3906 67.4306i 0.743933 3.25938i
\(429\) 18.9704 0.915899
\(430\) 6.85433 + 55.2972i 0.330545 + 2.66667i
\(431\) 32.7587 1.57793 0.788965 0.614438i \(-0.210617\pi\)
0.788965 + 0.614438i \(0.210617\pi\)
\(432\) −24.4888 + 107.293i −1.17822 + 5.16212i
\(433\) −0.466667 2.04460i −0.0224266 0.0982572i 0.962476 0.271367i \(-0.0874756\pi\)
−0.984903 + 0.173110i \(0.944619\pi\)
\(434\) 7.02372 + 3.38245i 0.337149 + 0.162363i
\(435\) −60.9336 + 76.4083i −2.92154 + 3.66350i
\(436\) 20.6520 0.989050
\(437\) −4.95713 −0.237132
\(438\) 25.2949 31.7188i 1.20864 1.51558i
\(439\) 15.7625 7.59084i 0.752305 0.362291i −0.0181081 0.999836i \(-0.505764\pi\)
0.770413 + 0.637545i \(0.220050\pi\)
\(440\) −81.4535 102.139i −3.88314 4.86931i
\(441\) −14.4273 + 6.94781i −0.687013 + 0.330848i
\(442\) 0.627761 2.75040i 0.0298596 0.130823i
\(443\) −6.47425 + 8.11846i −0.307601 + 0.385719i −0.911472 0.411363i \(-0.865053\pi\)
0.603871 + 0.797082i \(0.293624\pi\)
\(444\) 16.7069 73.1977i 0.792874 3.47381i
\(445\) 29.9441 + 14.4203i 1.41949 + 0.683588i
\(446\) −11.7671 14.7554i −0.557187 0.698690i
\(447\) −34.0892 42.7464i −1.61236 2.02184i
\(448\) −4.18512 18.3362i −0.197729 0.866305i
\(449\) 18.0773 + 8.70555i 0.853119 + 0.410840i 0.808734 0.588174i \(-0.200153\pi\)
0.0443847 + 0.999015i \(0.485867\pi\)
\(450\) −91.0733 + 43.8586i −4.29324 + 2.06751i
\(451\) 11.2638 + 49.3498i 0.530390 + 2.32379i
\(452\) −13.7833 60.3886i −0.648312 2.84044i
\(453\) 16.7168 8.05041i 0.785426 0.378241i
\(454\) −58.9148 28.3719i −2.76501 1.33156i
\(455\) 2.41198 + 10.5676i 0.113075 + 0.495415i
\(456\) −60.7835 76.2200i −2.84645 3.56933i
\(457\) 17.8386 + 22.3689i 0.834454 + 1.04637i 0.998206 + 0.0598704i \(0.0190687\pi\)
−0.163752 + 0.986501i \(0.552360\pi\)
\(458\) 26.3367 + 12.6831i 1.23063 + 0.592642i
\(459\) −2.68221 + 11.7515i −0.125195 + 0.548514i
\(460\) 11.0968 13.9149i 0.517390 0.648786i
\(461\) 6.71422 29.4169i 0.312712 1.37008i −0.537332 0.843371i \(-0.680568\pi\)
0.850044 0.526711i \(-0.176575\pi\)
\(462\) 125.149 60.2684i 5.82245 2.80394i
\(463\) 17.7062 + 22.2029i 0.822877 + 1.03185i 0.998873 + 0.0474638i \(0.0151139\pi\)
−0.175996 + 0.984391i \(0.556315\pi\)
\(464\) 78.4024 37.7566i 3.63974 1.75281i
\(465\) −6.27260 + 7.86559i −0.290885 + 0.364758i
\(466\) −50.0331 −2.31774
\(467\) 11.1186 0.514509 0.257255 0.966344i \(-0.417182\pi\)
0.257255 + 0.966344i \(0.417182\pi\)
\(468\) −22.0303 + 27.6252i −1.01835 + 1.27697i
\(469\) −13.0968 6.30707i −0.604752 0.291233i
\(470\) −16.2963 71.3988i −0.751693 3.29338i
\(471\) 6.63081 29.0515i 0.305532 1.33862i
\(472\) 35.9759 1.65593
\(473\) 36.3547 + 3.68708i 1.67159 + 0.169532i
\(474\) −127.692 −5.86509
\(475\) 5.47816 24.0014i 0.251355 1.10126i
\(476\) −3.23645 14.1798i −0.148342 0.649930i
\(477\) −25.6198 12.3379i −1.17305 0.564912i
\(478\) 5.15526 6.46449i 0.235796 0.295679i
\(479\) 20.4372 0.933801 0.466901 0.884310i \(-0.345371\pi\)
0.466901 + 0.884310i \(0.345371\pi\)
\(480\) 96.2908 4.39505
\(481\) 3.40232 4.26637i 0.155132 0.194530i
\(482\) 29.0338 13.9819i 1.32245 0.636860i
\(483\) 6.84021 + 8.57735i 0.311240 + 0.390283i
\(484\) −85.9794 + 41.4055i −3.90816 + 1.88207i
\(485\) 6.43337 28.1864i 0.292124 1.27988i
\(486\) 29.3027 36.7444i 1.32920 1.66676i
\(487\) −2.58386 + 11.3206i −0.117086 + 0.512987i 0.882040 + 0.471175i \(0.156170\pi\)
−0.999126 + 0.0418117i \(0.986687\pi\)
\(488\) −21.5940 10.3991i −0.977516 0.470747i
\(489\) 40.7664 + 51.1194i 1.84352 + 2.31170i
\(490\) 12.3991 + 15.5480i 0.560134 + 0.702386i
\(491\) 1.24488 + 5.45420i 0.0561809 + 0.246144i 0.995219 0.0976686i \(-0.0311385\pi\)
−0.939038 + 0.343813i \(0.888281\pi\)
\(492\) −122.190 58.8435i −5.50874 2.65287i
\(493\) 8.58724 4.13540i 0.386750 0.186249i
\(494\) −2.71964 11.9155i −0.122362 0.536105i
\(495\) 27.7301 + 121.493i 1.24637 + 5.46072i
\(496\) 8.07087 3.88673i 0.362393 0.174519i
\(497\) −8.74282 4.21032i −0.392169 0.188859i
\(498\) 3.49478 + 15.3116i 0.156605 + 0.686131i
\(499\) −14.2995 17.9310i −0.640132 0.802700i 0.350887 0.936418i \(-0.385880\pi\)
−0.991020 + 0.133717i \(0.957309\pi\)
\(500\) 6.61978 + 8.30094i 0.296046 + 0.371230i
\(501\) 2.87827 + 1.38610i 0.128592 + 0.0619265i
\(502\) 7.62628 33.4129i 0.340377 1.49129i
\(503\) 8.08404 10.1371i 0.360450 0.451990i −0.568231 0.822869i \(-0.692372\pi\)
0.928681 + 0.370879i \(0.120944\pi\)
\(504\) −33.3764 + 146.232i −1.48670 + 6.51367i
\(505\) −43.2164 + 20.8119i −1.92311 + 0.926119i
\(506\) −10.3355 12.9603i −0.459470 0.576157i
\(507\) 33.4167 16.0927i 1.48409 0.714700i
\(508\) 28.8381 36.1618i 1.27948 1.60442i
\(509\) 16.9734 0.752332 0.376166 0.926552i \(-0.377242\pi\)
0.376166 + 0.926552i \(0.377242\pi\)
\(510\) 26.6578 1.18043
\(511\) 9.47823 11.8853i 0.419292 0.525776i
\(512\) 40.7595 + 19.6287i 1.80133 + 0.867476i
\(513\) 11.6201 + 50.9109i 0.513039 + 2.24777i
\(514\) 4.07598 17.8581i 0.179784 0.787685i
\(515\) −51.3296 −2.26185
\(516\) −68.4533 + 69.9937i −3.01349 + 3.08130i
\(517\) −48.0272 −2.11223
\(518\) 8.89114 38.9546i 0.390654 1.71157i
\(519\) −1.83103 8.02225i −0.0803732 0.352138i
\(520\) 22.9205 + 11.0379i 1.00513 + 0.484045i
\(521\) −6.16077 + 7.72536i −0.269908 + 0.338454i −0.898251 0.439482i \(-0.855162\pi\)
0.628343 + 0.777936i \(0.283733\pi\)
\(522\) −169.543 −7.42067
\(523\) −31.9448 −1.39685 −0.698424 0.715685i \(-0.746115\pi\)
−0.698424 + 0.715685i \(0.746115\pi\)
\(524\) −7.73287 + 9.69672i −0.337812 + 0.423603i
\(525\) −49.0889 + 23.6400i −2.14241 + 1.03173i
\(526\) 15.6283 + 19.5973i 0.681428 + 0.854483i
\(527\) 0.883984 0.425704i 0.0385070 0.0185440i
\(528\) 35.5173 155.612i 1.54569 6.77213i
\(529\) −13.5240 + 16.9585i −0.587998 + 0.737326i
\(530\) −7.85820 + 34.4290i −0.341339 + 1.49550i
\(531\) −30.9188 14.8897i −1.34176 0.646158i
\(532\) −39.2866 49.2638i −1.70329 2.13586i
\(533\) −6.14576 7.70654i −0.266202 0.333807i
\(534\) 18.4553 + 80.8578i 0.798637 + 3.49906i
\(535\) 42.7973 + 20.6101i 1.85029 + 0.891053i
\(536\) −30.7380 + 14.8026i −1.32768 + 0.639377i
\(537\) −10.1568 44.4998i −0.438298 1.92031i
\(538\) 3.85675 + 16.8975i 0.166276 + 0.728504i
\(539\) 11.7500 5.65852i 0.506110 0.243730i
\(540\) −168.922 81.3484i −7.26923 3.50068i
\(541\) 6.45136 + 28.2652i 0.277365 + 1.21522i 0.901110 + 0.433590i \(0.142753\pi\)
−0.623745 + 0.781628i \(0.714390\pi\)
\(542\) −1.50564 1.88801i −0.0646728 0.0810971i
\(543\) 5.15727 + 6.46701i 0.221320 + 0.277526i
\(544\) −8.46079 4.07450i −0.362753 0.174693i
\(545\) −3.15613 + 13.8279i −0.135194 + 0.592322i
\(546\) −16.8648 + 21.1477i −0.721745 + 0.905039i
\(547\) 6.57706 28.8160i 0.281215 1.23208i −0.615024 0.788509i \(-0.710854\pi\)
0.896238 0.443573i \(-0.146289\pi\)
\(548\) −32.5000 + 15.6512i −1.38833 + 0.668586i
\(549\) 14.2545 + 17.8746i 0.608369 + 0.762871i
\(550\) 74.1730 35.7198i 3.16275 1.52310i
\(551\) 25.7448 32.2830i 1.09677 1.37530i
\(552\) 25.7485 1.09593
\(553\) −47.8474 −2.03468
\(554\) 29.7327 37.2836i 1.26322 1.58403i
\(555\) 46.4576 + 22.3728i 1.97202 + 0.949673i
\(556\) 10.5098 + 46.0462i 0.445713 + 1.95280i
\(557\) −6.18054 + 27.0787i −0.261878 + 1.14736i 0.657334 + 0.753599i \(0.271684\pi\)
−0.919212 + 0.393763i \(0.871173\pi\)
\(558\) −17.4530 −0.738844
\(559\) −6.68981 + 2.42474i −0.282949 + 0.102555i
\(560\) 91.2002 3.85391
\(561\) 3.89013 17.0438i 0.164242 0.719589i
\(562\) −4.12588 18.0767i −0.174040 0.762518i
\(563\) −25.3664 12.2158i −1.06907 0.514835i −0.185261 0.982689i \(-0.559313\pi\)
−0.883806 + 0.467854i \(0.845027\pi\)
\(564\) 80.2287 100.604i 3.37824 4.23617i
\(565\) 42.5407 1.78970
\(566\) −33.8413 −1.42246
\(567\) 32.9438 41.3103i 1.38351 1.73487i
\(568\) −20.5193 + 9.88159i −0.860972 + 0.414622i
\(569\) −17.8385 22.3688i −0.747831 0.937750i 0.251718 0.967801i \(-0.419005\pi\)
−0.999548 + 0.0300506i \(0.990433\pi\)
\(570\) 104.052 50.1090i 4.35827 2.09883i
\(571\) −2.06561 + 9.05003i −0.0864431 + 0.378732i −0.999582 0.0289169i \(-0.990794\pi\)
0.913139 + 0.407649i \(0.133651\pi\)
\(572\) 17.9422 22.4988i 0.750202 0.940723i
\(573\) 4.14139 18.1446i 0.173009 0.758002i
\(574\) −65.0275 31.3156i −2.71419 1.30709i
\(575\) 4.05405 + 5.08361i 0.169065 + 0.212001i
\(576\) 26.2530 + 32.9202i 1.09387 + 1.37168i
\(577\) −6.98899 30.6208i −0.290956 1.27476i −0.883198 0.469000i \(-0.844614\pi\)
0.592243 0.805760i \(-0.298243\pi\)
\(578\) −2.34235 1.12801i −0.0974288 0.0469192i
\(579\) 11.3395 5.46081i 0.471253 0.226943i
\(580\) 32.9890 + 144.534i 1.36979 + 6.00145i
\(581\) 1.30953 + 5.73742i 0.0543284 + 0.238028i
\(582\) 65.0018 31.3032i 2.69441 1.29756i
\(583\) 20.8656 + 10.0483i 0.864165 + 0.416160i
\(584\) −7.93927 34.7842i −0.328529 1.43938i
\(585\) −15.1302 18.9726i −0.625555 0.784421i
\(586\) −31.8067 39.8844i −1.31392 1.64761i
\(587\) −21.0589 10.1414i −0.869194 0.418582i −0.0545280 0.998512i \(-0.517365\pi\)
−0.814666 + 0.579931i \(0.803080\pi\)
\(588\) −7.77523 + 34.0655i −0.320645 + 1.40484i
\(589\) 2.65022 3.32326i 0.109200 0.136933i
\(590\) −9.48351 + 41.5500i −0.390430 + 1.71059i
\(591\) −18.4071 + 8.86441i −0.757168 + 0.364633i
\(592\) −28.6265 35.8965i −1.17654 1.47534i
\(593\) −39.4472 + 18.9968i −1.61990 + 0.780104i −0.999990 0.00456528i \(-0.998547\pi\)
−0.619914 + 0.784670i \(0.712833\pi\)
\(594\) −108.878 + 136.529i −4.46732 + 5.60184i
\(595\) 9.98895 0.409507
\(596\) −82.9388 −3.39730
\(597\) −0.733375 + 0.919623i −0.0300150 + 0.0376377i
\(598\) 2.90835 + 1.40059i 0.118931 + 0.0572743i
\(599\) 2.00351 + 8.77794i 0.0818611 + 0.358657i 0.999224 0.0393956i \(-0.0125433\pi\)
−0.917363 + 0.398053i \(0.869686\pi\)
\(600\) −28.4548 + 124.669i −1.16166 + 5.08958i
\(601\) 14.7655 0.602298 0.301149 0.953577i \(-0.402630\pi\)
0.301149 + 0.953577i \(0.402630\pi\)
\(602\) −36.4297 + 37.2495i −1.48477 + 1.51818i
\(603\) 32.5436 1.32528
\(604\) 6.26305 27.4402i 0.254840 1.11653i
\(605\) −14.5840 63.8969i −0.592926 2.59778i
\(606\) −107.844 51.9351i −4.38088 2.10972i
\(607\) 5.52784 6.93169i 0.224368 0.281348i −0.656888 0.753988i \(-0.728127\pi\)
0.881256 + 0.472640i \(0.156699\pi\)
\(608\) −40.6835 −1.64993
\(609\) −91.3841 −3.70307
\(610\) 17.7027 22.1985i 0.716761 0.898790i
\(611\) 8.42618 4.05784i 0.340887 0.164162i
\(612\) 20.3020 + 25.4579i 0.820660 + 1.02907i
\(613\) 44.1139 21.2441i 1.78174 0.858043i 0.826099 0.563525i \(-0.190555\pi\)
0.955646 0.294518i \(-0.0951590\pi\)
\(614\) −9.97121 + 43.6867i −0.402405 + 1.76305i
\(615\) 58.0734 72.8217i 2.34174 2.93645i
\(616\) 27.1828 119.096i 1.09523 4.79850i
\(617\) 27.3088 + 13.1512i 1.09941 + 0.529449i 0.893474 0.449116i \(-0.148261\pi\)
0.205939 + 0.978565i \(0.433975\pi\)
\(618\) −79.8630 100.145i −3.21256 4.02842i
\(619\) −6.66892 8.36256i −0.268046 0.336120i 0.629532 0.776975i \(-0.283247\pi\)
−0.897578 + 0.440855i \(0.854675\pi\)
\(620\) 3.39594 + 14.8786i 0.136384 + 0.597538i
\(621\) −12.4264 5.98422i −0.498653 0.240139i
\(622\) −42.6579 + 20.5429i −1.71042 + 0.823697i
\(623\) 6.91537 + 30.2982i 0.277058 + 1.21387i
\(624\) 6.91631 + 30.3023i 0.276874 + 1.21306i
\(625\) 19.0295 9.16411i 0.761179 0.366564i
\(626\) 33.1979 + 15.9872i 1.32685 + 0.638979i
\(627\) −16.8532 73.8386i −0.673051 2.94883i
\(628\) −28.1835 35.3411i −1.12465 1.41026i
\(629\) −3.13540 3.93167i −0.125017 0.156766i
\(630\) −160.090 77.0953i −6.37814 3.07155i
\(631\) 7.46603 32.7108i 0.297218 1.30220i −0.577032 0.816721i \(-0.695789\pi\)
0.874250 0.485476i \(-0.161354\pi\)
\(632\) −70.0164 + 87.7978i −2.78510 + 3.49241i
\(633\) 11.7799 51.6112i 0.468210 2.05136i
\(634\) −62.8697 + 30.2764i −2.49687 + 1.20243i
\(635\) 19.8056 + 24.8355i 0.785962 + 0.985566i
\(636\) −55.9041 + 26.9220i −2.21674 + 1.06753i
\(637\) −1.58341 + 1.98553i −0.0627369 + 0.0786696i
\(638\) 138.081 5.46667
\(639\) 21.7247 0.859415
\(640\) −5.66999 + 7.10994i −0.224126 + 0.281045i
\(641\) −38.4812 18.5316i −1.51992 0.731954i −0.526901 0.849927i \(-0.676646\pi\)
−0.993017 + 0.117973i \(0.962360\pi\)
\(642\) 26.3771 + 115.565i 1.04102 + 4.56100i
\(643\) −2.40938 + 10.5562i −0.0950169 + 0.416296i −0.999957 0.00924220i \(-0.997058\pi\)
0.904940 + 0.425538i \(0.139915\pi\)
\(644\) 16.6422 0.655795
\(645\) −36.4042 56.5309i −1.43341 2.22590i
\(646\) −11.2631 −0.443141
\(647\) −7.78806 + 34.1217i −0.306180 + 1.34146i 0.554444 + 0.832221i \(0.312931\pi\)
−0.860624 + 0.509242i \(0.829926\pi\)
\(648\) −27.5948 120.901i −1.08403 4.74943i
\(649\) 25.1812 + 12.1266i 0.988450 + 0.476012i
\(650\) −9.99538 + 12.5338i −0.392051 + 0.491616i
\(651\) −9.40723 −0.368698
\(652\) 99.1844 3.88436
\(653\) −1.03837 + 1.30207i −0.0406346 + 0.0509541i −0.801734 0.597682i \(-0.796089\pi\)
0.761099 + 0.648636i \(0.224660\pi\)
\(654\) −31.8891 + 15.3570i −1.24696 + 0.600505i
\(655\) −5.31084 6.65958i −0.207512 0.260211i
\(656\) −74.7222 + 35.9843i −2.91741 + 1.40495i
\(657\) −7.57322 + 33.1805i −0.295460 + 1.29449i
\(658\) 42.6964 53.5396i 1.66448 2.08719i
\(659\) 6.87673 30.1289i 0.267879 1.17366i −0.644596 0.764524i \(-0.722974\pi\)
0.912475 0.409133i \(-0.134169\pi\)
\(660\) 244.995 + 117.984i 9.53643 + 4.59250i
\(661\) 16.6686 + 20.9018i 0.648334 + 0.812985i 0.992017 0.126100i \(-0.0402461\pi\)
−0.343683 + 0.939086i \(0.611675\pi\)
\(662\) 9.59564 + 12.0326i 0.372945 + 0.467658i
\(663\) 0.757528 + 3.31895i 0.0294199 + 0.128897i
\(664\) 12.4442 + 5.99280i 0.482928 + 0.232566i
\(665\) 38.9894 18.7763i 1.51194 0.728114i
\(666\) 19.9053 + 87.2109i 0.771316 + 3.37935i
\(667\) 2.42676 + 10.6324i 0.0939647 + 0.411686i
\(668\) 4.36619 2.10265i 0.168933 0.0813538i
\(669\) 20.5188 + 9.88135i 0.793304 + 0.382035i
\(670\) −8.99338 39.4026i −0.347444 1.52225i
\(671\) −11.6094 14.5577i −0.448174 0.561993i
\(672\) 56.1380 + 70.3949i 2.16557 + 2.71554i
\(673\) 13.7435 + 6.61854i 0.529774 + 0.255126i 0.679595 0.733587i \(-0.262155\pi\)
−0.149821 + 0.988713i \(0.547870\pi\)
\(674\) 5.69863 24.9673i 0.219503 0.961706i
\(675\) 42.7068 53.5526i 1.64379 2.06124i
\(676\) 12.5198 54.8526i 0.481529 2.10972i
\(677\) 34.0626 16.4037i 1.30913 0.630445i 0.356423 0.934325i \(-0.383996\pi\)
0.952711 + 0.303879i \(0.0982820\pi\)
\(678\) 66.1885 + 82.9978i 2.54195 + 3.18751i
\(679\) 24.3568 11.7296i 0.934729 0.450142i
\(680\) 14.6171 18.3293i 0.560540 0.702895i
\(681\) 78.9075 3.02374
\(682\) 14.2143 0.544292
\(683\) −9.36565 + 11.7441i −0.358366 + 0.449377i −0.928033 0.372499i \(-0.878501\pi\)
0.569666 + 0.821876i \(0.307072\pi\)
\(684\) 127.097 + 61.2069i 4.85969 + 2.34030i
\(685\) −5.51274 24.1529i −0.210631 0.922834i
\(686\) 8.23848 36.0951i 0.314547 1.37812i
\(687\) −35.2741 −1.34579
\(688\) 7.36480 + 59.4154i 0.280780 + 2.26519i
\(689\) −4.50978 −0.171809
\(690\) −6.78749 + 29.7379i −0.258395 + 1.13210i
\(691\) 4.30444 + 18.8590i 0.163749 + 0.717429i 0.988411 + 0.151804i \(0.0485081\pi\)
−0.824662 + 0.565626i \(0.808635\pi\)
\(692\) −11.2462 5.41587i −0.427515 0.205880i
\(693\) −72.6529 + 91.1038i −2.75986 + 3.46075i
\(694\) −5.93238 −0.225190
\(695\) −32.4373 −1.23042
\(696\) −133.725 + 167.686i −5.06882 + 6.35611i
\(697\) −8.18416 + 3.94128i −0.309997 + 0.149287i
\(698\) 41.5554 + 52.1088i 1.57290 + 1.97235i
\(699\) 54.3965 26.1960i 2.05746 0.990823i
\(700\) −18.3914 + 80.5780i −0.695130 + 3.04556i
\(701\) −6.02103 + 7.55013i −0.227411 + 0.285165i −0.882426 0.470452i \(-0.844091\pi\)
0.655015 + 0.755616i \(0.272662\pi\)
\(702\) 7.56686 33.1526i 0.285593 1.25126i
\(703\) −19.6286 9.45266i −0.740308 0.356514i
\(704\) −21.3813 26.8113i −0.805837 1.01049i
\(705\) 55.1000 + 69.0932i 2.07519 + 2.60220i
\(706\) 8.21507 + 35.9926i 0.309178 + 1.35460i
\(707\) −40.4103 19.4606i −1.51979 0.731890i
\(708\) −67.4668 + 32.4903i −2.53556 + 1.22106i
\(709\) −7.52265 32.9589i −0.282519 1.23780i −0.894552 0.446964i \(-0.852505\pi\)
0.612033 0.790832i \(-0.290352\pi\)
\(710\) −6.00358 26.3034i −0.225310 0.987149i
\(711\) 96.5118 46.4776i 3.61948 1.74305i
\(712\) 65.7152 + 31.6468i 2.46278 + 1.18601i
\(713\) 0.249815 + 1.09451i 0.00935565 + 0.0409898i
\(714\) 15.5417 + 19.4886i 0.581632 + 0.729344i
\(715\) 12.3225 + 15.4519i 0.460835 + 0.577869i
\(716\) −62.3829 30.0420i −2.33136 1.12272i
\(717\) −2.22022 + 9.72741i −0.0829156 + 0.363277i
\(718\) 10.3329 12.9571i 0.385621 0.483553i
\(719\) −4.53652 + 19.8758i −0.169184 + 0.741243i 0.817142 + 0.576436i \(0.195557\pi\)
−0.986326 + 0.164806i \(0.947300\pi\)
\(720\) −183.957 + 88.5892i −6.85569 + 3.30153i
\(721\) −29.9254 37.5253i −1.11448 1.39752i
\(722\) 0.541776 0.260906i 0.0201628 0.00970990i
\(723\) −24.2453 + 30.4026i −0.901692 + 1.13069i
\(724\) 12.5476 0.466329
\(725\) −54.1614 −2.01150
\(726\) 101.973 127.870i 3.78457 4.74570i
\(727\) −32.3984 15.6022i −1.20159 0.578655i −0.277461 0.960737i \(-0.589493\pi\)
−0.924129 + 0.382082i \(0.875207\pi\)
\(728\) 5.29332 + 23.1916i 0.196184 + 0.859536i
\(729\) −1.07849 + 4.72516i −0.0399440 + 0.175006i
\(730\) 42.2665 1.56435
\(731\) 0.806650 + 6.50764i 0.0298350 + 0.240694i
\(732\) 49.8875 1.84390
\(733\) −0.952236 + 4.17202i −0.0351716 + 0.154097i −0.989464 0.144776i \(-0.953754\pi\)
0.954293 + 0.298873i \(0.0966108\pi\)
\(734\) −11.0482 48.4051i −0.407795 1.78667i
\(735\) −21.6209 10.4121i −0.797500 0.384056i
\(736\) 6.69952 8.40093i 0.246947 0.309662i
\(737\) −26.5046 −0.976308
\(738\) 161.584 5.94800
\(739\) −24.7608 + 31.0490i −0.910840 + 1.14216i 0.0785555 + 0.996910i \(0.474969\pi\)
−0.989395 + 0.145247i \(0.953602\pi\)
\(740\) 70.4738 33.9384i 2.59067 1.24760i
\(741\) 9.19547 + 11.5308i 0.337804 + 0.423593i
\(742\) −29.7513 + 14.3275i −1.09220 + 0.525978i
\(743\) −6.34017 + 27.7781i −0.232598 + 1.01908i 0.714877 + 0.699250i \(0.246483\pi\)
−0.947475 + 0.319829i \(0.896374\pi\)
\(744\) −13.7658 + 17.2618i −0.504680 + 0.632849i
\(745\) 12.6751 55.5332i 0.464379 2.03458i
\(746\) 49.6856 + 23.9273i 1.81912 + 0.876042i
\(747\) −8.21458 10.3008i −0.300556 0.376885i
\(748\) −16.5346 20.7337i −0.604565 0.758100i
\(749\) 9.88374 + 43.3035i 0.361144 + 1.58227i
\(750\) −16.3944 7.89511i −0.598638 0.288289i
\(751\) 8.86327 4.26833i 0.323425 0.155753i −0.265125 0.964214i \(-0.585413\pi\)
0.588550 + 0.808461i \(0.299699\pi\)
\(752\) −17.5100 76.7162i −0.638523 2.79755i
\(753\) 9.20273 + 40.3198i 0.335366 + 1.46933i
\(754\) −24.2257 + 11.6665i −0.882250 + 0.424869i
\(755\) 17.4160 + 8.38708i 0.633832 + 0.305237i
\(756\) −39.0113 170.919i −1.41883 6.21628i
\(757\) −21.3740 26.8022i −0.776852 0.974142i 0.223148 0.974785i \(-0.428367\pi\)
−1.00000 0.000643037i \(0.999795\pi\)
\(758\) 28.4503 + 35.6756i 1.03336 + 1.29580i
\(759\) 18.0226