Properties

Label 605.2.s.b.16.1
Level $605$
Weight $2$
Character 605.16
Analytic conductor $4.831$
Analytic rank $0$
Dimension $880$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 605 = 5 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 605.s (of order \(55\), degree \(40\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.83094932229\)
Analytic rank: \(0\)
Dimension: \(880\)
Relative dimension: \(22\) over \(\Q(\zeta_{55})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{55}]$

Embedding invariants

Embedding label 16.1
Character \(\chi\) \(=\) 605.16
Dual form 605.2.s.b.416.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.61070 - 0.299550i) q^{2} +(-0.194849 - 0.141566i) q^{3} +(4.77802 + 1.11108i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(0.466287 + 0.427954i) q^{6} +(3.66250 + 3.76862i) q^{7} +(-7.19116 - 2.56580i) q^{8} +(-0.909126 - 2.79800i) q^{9} +O(q^{10})\) \(q+(-2.61070 - 0.299550i) q^{2} +(-0.194849 - 0.141566i) q^{3} +(4.77802 + 1.11108i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(0.466287 + 0.427954i) q^{6} +(3.66250 + 3.76862i) q^{7} +(-7.19116 - 2.56580i) q^{8} +(-0.909126 - 2.79800i) q^{9} +(1.72086 - 1.98598i) q^{10} +(0.688990 - 3.24427i) q^{11} +(-0.773701 - 0.892899i) q^{12} +(1.31090 - 2.17389i) q^{13} +(-8.43281 - 10.9359i) q^{14} +(0.226840 - 0.0809363i) q^{15} +(9.20101 + 4.52383i) q^{16} +(1.75348 - 1.43381i) q^{17} +(1.53532 + 7.57708i) q^{18} +(1.34916 + 0.0771475i) q^{19} +(-3.61409 + 3.31698i) q^{20} +(-0.180125 - 1.25280i) q^{21} +(-2.77057 + 8.26344i) q^{22} +(-0.589687 + 4.10136i) q^{23} +(1.03796 + 1.51797i) q^{24} +(-0.362808 - 0.931864i) q^{25} +(-4.07357 + 5.28270i) q^{26} +(-0.442237 + 1.36106i) q^{27} +(13.3123 + 22.0759i) q^{28} +(1.33714 - 3.43442i) q^{29} +(-0.616456 + 0.143351i) q^{30} +(-3.62298 - 1.53109i) q^{31} +(-9.81975 - 6.31077i) q^{32} +(-0.593527 + 0.534605i) q^{33} +(-5.00732 + 3.21801i) q^{34} +(-5.17817 + 0.896117i) q^{35} +(-1.23502 - 14.3790i) q^{36} +(0.404551 - 4.71010i) q^{37} +(-3.49914 - 0.605549i) q^{38} +(-0.563177 + 0.238001i) q^{39} +(6.17700 - 4.48785i) q^{40} +(8.68819 - 4.90645i) q^{41} +(0.0949774 + 3.32464i) q^{42} +(-0.132425 + 0.0388836i) q^{43} +(6.89666 - 14.7357i) q^{44} +(2.82282 + 0.828855i) q^{45} +(2.76806 - 10.5308i) q^{46} +(-2.45027 + 12.0925i) q^{47} +(-1.15239 - 2.18401i) q^{48} +(-0.588724 + 20.6080i) q^{49} +(0.668043 + 2.54150i) q^{50} +(-0.544643 + 0.0311438i) q^{51} +(8.67890 - 8.93038i) q^{52} +(1.69325 - 0.832517i) q^{53} +(1.56226 - 3.42087i) q^{54} +(2.28916 + 2.39995i) q^{55} +(-16.6681 - 36.4980i) q^{56} +(-0.251960 - 0.206027i) q^{57} +(-4.51966 + 8.56570i) q^{58} +(5.25049 + 2.96509i) q^{59} +(1.17377 - 0.134678i) q^{60} +(13.5054 - 1.54960i) q^{61} +(8.99990 + 5.08248i) q^{62} +(7.21494 - 13.6738i) q^{63} +(7.87154 + 6.43652i) q^{64} +(1.05455 + 2.30915i) q^{65} +(1.70967 - 1.21790i) q^{66} +(4.25884 - 9.32556i) q^{67} +(9.97126 - 4.90254i) q^{68} +(0.695513 - 0.715666i) q^{69} +(13.7871 - 0.788375i) q^{70} +(-3.26698 - 12.4289i) q^{71} +(-0.641445 + 22.4535i) q^{72} +(-4.01577 - 7.61074i) q^{73} +(-2.46707 + 12.1755i) q^{74} +(-0.0612276 + 0.232934i) q^{75} +(6.36058 + 1.86763i) q^{76} +(14.7499 - 9.28560i) q^{77} +(1.54158 - 0.452650i) q^{78} +(0.111991 + 3.92021i) q^{79} +(-8.92774 + 5.04173i) q^{80} +(-6.86152 + 4.98518i) q^{81} +(-24.1520 + 10.2067i) q^{82} +(7.74273 + 1.33993i) q^{83} +(0.531319 - 6.18603i) q^{84} +(0.193833 + 2.25676i) q^{85} +(0.357371 - 0.0618454i) q^{86} +(-0.746737 + 0.479899i) q^{87} +(-13.2788 + 21.5623i) q^{88} +(8.56571 + 5.50485i) q^{89} +(-7.12127 - 3.00947i) q^{90} +(12.9938 - 3.02157i) q^{91} +(-7.37448 + 18.9412i) q^{92} +(0.489185 + 0.811222i) q^{93} +(10.0192 - 30.8361i) q^{94} +(-0.825205 + 1.07014i) q^{95} +(1.01998 + 2.61979i) q^{96} +(2.37502 + 3.47335i) q^{97} +(7.71013 - 53.6251i) q^{98} +(-9.70385 + 1.02166i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 880q + 4q^{2} - q^{3} + 24q^{4} + 22q^{5} - 13q^{6} + 3q^{7} + 2q^{8} - 217q^{9} + O(q^{10}) \) \( 880q + 4q^{2} - q^{3} + 24q^{4} + 22q^{5} - 13q^{6} + 3q^{7} + 2q^{8} - 217q^{9} - 6q^{10} + 5q^{11} - 5q^{12} - 26q^{13} - 108q^{14} - 12q^{15} + 34q^{16} - q^{17} - 14q^{18} + q^{19} + 19q^{20} - 10q^{21} + 275q^{22} - 51q^{23} + 283q^{24} + 22q^{25} - 16q^{27} - 4q^{28} - 19q^{29} + q^{30} - 34q^{31} - 122q^{32} + 19q^{33} + 52q^{34} + 8q^{35} - 21q^{36} - 109q^{37} - 10q^{38} - 9q^{39} - 64q^{40} + 4q^{41} - 49q^{42} - 97q^{43} + 17q^{44} - 80q^{45} - 91q^{46} + 166q^{47} - 159q^{48} + 175q^{49} + 4q^{50} - 112q^{51} - 128q^{52} - 141q^{53} - 37q^{54} - 5q^{55} + 79q^{56} - 204q^{57} - 190q^{58} + 9q^{59} - 22q^{60} + 2q^{61} - 105q^{62} - q^{63} - 176q^{64} - 14q^{65} - 112q^{66} - 13q^{67} - 35q^{68} - 53q^{69} + 24q^{70} - 50q^{71} + 705q^{72} + q^{73} + 40q^{74} - q^{75} - 148q^{76} - 104q^{77} - 187q^{78} - 83q^{79} - q^{80} - 238q^{81} - 54q^{82} - 151q^{83} + 4q^{84} - 29q^{85} - 39q^{86} - 74q^{87} - 143q^{88} - 52q^{89} - 28q^{90} - 188q^{91} - 253q^{92} + 122q^{93} - 187q^{94} + 122q^{95} - 155q^{96} + 283q^{97} - 92q^{98} + 172q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).

\(n\) \(122\) \(486\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{55}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.61070 0.299550i −1.84605 0.211814i −0.880860 0.473377i \(-0.843035\pi\)
−0.965187 + 0.261563i \(0.915762\pi\)
\(3\) −0.194849 0.141566i −0.112496 0.0817332i 0.530115 0.847926i \(-0.322149\pi\)
−0.642611 + 0.766193i \(0.722149\pi\)
\(4\) 4.77802 + 1.11108i 2.38901 + 0.555541i
\(5\) −0.564443 + 0.825472i −0.252427 + 0.369162i
\(6\) 0.466287 + 0.427954i 0.190361 + 0.174712i
\(7\) 3.66250 + 3.76862i 1.38430 + 1.42441i 0.776081 + 0.630634i \(0.217205\pi\)
0.608215 + 0.793773i \(0.291886\pi\)
\(8\) −7.19116 2.56580i −2.54246 0.907147i
\(9\) −0.909126 2.79800i −0.303042 0.932667i
\(10\) 1.72086 1.98598i 0.544185 0.628023i
\(11\) 0.688990 3.24427i 0.207738 0.978184i
\(12\) −0.773701 0.892899i −0.223348 0.257758i
\(13\) 1.31090 2.17389i 0.363580 0.602929i −0.619742 0.784806i \(-0.712763\pi\)
0.983321 + 0.181877i \(0.0582172\pi\)
\(14\) −8.43281 10.9359i −2.25376 2.92273i
\(15\) 0.226840 0.0809363i 0.0585698 0.0208977i
\(16\) 9.20101 + 4.52383i 2.30025 + 1.13096i
\(17\) 1.75348 1.43381i 0.425282 0.347751i −0.396023 0.918240i \(-0.629610\pi\)
0.821305 + 0.570489i \(0.193246\pi\)
\(18\) 1.53532 + 7.57708i 0.361877 + 1.78594i
\(19\) 1.34916 + 0.0771475i 0.309518 + 0.0176989i 0.211158 0.977452i \(-0.432277\pi\)
0.0983600 + 0.995151i \(0.468640\pi\)
\(20\) −3.61409 + 3.31698i −0.808135 + 0.741699i
\(21\) −0.180125 1.25280i −0.0393065 0.273383i
\(22\) −2.77057 + 8.26344i −0.590688 + 1.76177i
\(23\) −0.589687 + 4.10136i −0.122958 + 0.855193i 0.831218 + 0.555947i \(0.187644\pi\)
−0.954176 + 0.299246i \(0.903265\pi\)
\(24\) 1.03796 + 1.51797i 0.211873 + 0.309854i
\(25\) −0.362808 0.931864i −0.0725615 0.186373i
\(26\) −4.07357 + 5.28270i −0.798894 + 1.03602i
\(27\) −0.442237 + 1.36106i −0.0851085 + 0.261937i
\(28\) 13.3123 + 22.0759i 2.51578 + 4.17195i
\(29\) 1.33714 3.43442i 0.248301 0.637755i −0.751457 0.659782i \(-0.770648\pi\)
0.999757 + 0.0220274i \(0.00701212\pi\)
\(30\) −0.616456 + 0.143351i −0.112549 + 0.0261722i
\(31\) −3.62298 1.53109i −0.650707 0.274991i 0.0388252 0.999246i \(-0.487638\pi\)
−0.689532 + 0.724255i \(0.742184\pi\)
\(32\) −9.81975 6.31077i −1.73590 1.11560i
\(33\) −0.593527 + 0.534605i −0.103320 + 0.0930628i
\(34\) −5.00732 + 3.21801i −0.858748 + 0.551884i
\(35\) −5.17817 + 0.896117i −0.875270 + 0.151471i
\(36\) −1.23502 14.3790i −0.205836 2.39650i
\(37\) 0.404551 4.71010i 0.0665077 0.774335i −0.884776 0.466017i \(-0.845688\pi\)
0.951283 0.308318i \(-0.0997661\pi\)
\(38\) −3.49914 0.605549i −0.567635 0.0982331i
\(39\) −0.563177 + 0.238001i −0.0901806 + 0.0381106i
\(40\) 6.17700 4.48785i 0.976669 0.709591i
\(41\) 8.68819 4.90645i 1.35687 0.766258i 0.370191 0.928955i \(-0.379292\pi\)
0.986676 + 0.162697i \(0.0520194\pi\)
\(42\) 0.0949774 + 3.32464i 0.0146553 + 0.513003i
\(43\) −0.132425 + 0.0388836i −0.0201947 + 0.00592969i −0.291814 0.956475i \(-0.594259\pi\)
0.271620 + 0.962405i \(0.412441\pi\)
\(44\) 6.89666 14.7357i 1.03971 2.22149i
\(45\) 2.82282 + 0.828855i 0.420801 + 0.123558i
\(46\) 2.76806 10.5308i 0.408128 1.55268i
\(47\) −2.45027 + 12.0925i −0.357408 + 1.76388i 0.248783 + 0.968559i \(0.419970\pi\)
−0.606191 + 0.795319i \(0.707303\pi\)
\(48\) −1.15239 2.18401i −0.166333 0.315235i
\(49\) −0.588724 + 20.6080i −0.0841035 + 2.94401i
\(50\) 0.668043 + 2.54150i 0.0944756 + 0.359422i
\(51\) −0.544643 + 0.0311438i −0.0762653 + 0.00436101i
\(52\) 8.67890 8.93038i 1.20355 1.23842i
\(53\) 1.69325 0.832517i 0.232586 0.114355i −0.321207 0.947009i \(-0.604089\pi\)
0.553794 + 0.832654i \(0.313180\pi\)
\(54\) 1.56226 3.42087i 0.212596 0.465521i
\(55\) 2.28916 + 2.39995i 0.308670 + 0.323609i
\(56\) −16.6681 36.4980i −2.22737 4.87725i
\(57\) −0.251960 0.206027i −0.0333729 0.0272889i
\(58\) −4.51966 + 8.56570i −0.593460 + 1.12473i
\(59\) 5.25049 + 2.96509i 0.683555 + 0.386022i 0.794048 0.607855i \(-0.207970\pi\)
−0.110492 + 0.993877i \(0.535243\pi\)
\(60\) 1.17377 0.134678i 0.151533 0.0173868i
\(61\) 13.5054 1.54960i 1.72919 0.198407i 0.808448 0.588568i \(-0.200308\pi\)
0.920747 + 0.390161i \(0.127581\pi\)
\(62\) 8.99990 + 5.08248i 1.14299 + 0.645475i
\(63\) 7.21494 13.6738i 0.908997 1.72274i
\(64\) 7.87154 + 6.43652i 0.983942 + 0.804565i
\(65\) 1.05455 + 2.30915i 0.130801 + 0.286415i
\(66\) 1.70967 1.21790i 0.210445 0.149914i
\(67\) 4.25884 9.32556i 0.520300 1.13930i −0.449026 0.893519i \(-0.648229\pi\)
0.969326 0.245779i \(-0.0790438\pi\)
\(68\) 9.97126 4.90254i 1.20919 0.594520i
\(69\) 0.695513 0.715666i 0.0837299 0.0861561i
\(70\) 13.7871 0.788375i 1.64787 0.0942288i
\(71\) −3.26698 12.4289i −0.387719 1.47504i −0.819511 0.573063i \(-0.805755\pi\)
0.431792 0.901973i \(-0.357881\pi\)
\(72\) −0.641445 + 22.4535i −0.0755950 + 2.64617i
\(73\) −4.01577 7.61074i −0.470011 0.890770i −0.999109 0.0422088i \(-0.986561\pi\)
0.529098 0.848561i \(-0.322530\pi\)
\(74\) −2.46707 + 12.1755i −0.286792 + 1.41537i
\(75\) −0.0612276 + 0.232934i −0.00706995 + 0.0268969i
\(76\) 6.36058 + 1.86763i 0.729608 + 0.214232i
\(77\) 14.7499 9.28560i 1.68090 1.05819i
\(78\) 1.54158 0.452650i 0.174550 0.0512525i
\(79\) 0.111991 + 3.92021i 0.0126000 + 0.441058i 0.981262 + 0.192677i \(0.0617169\pi\)
−0.968662 + 0.248382i \(0.920101\pi\)
\(80\) −8.92774 + 5.04173i −0.998152 + 0.563682i
\(81\) −6.86152 + 4.98518i −0.762391 + 0.553909i
\(82\) −24.1520 + 10.2067i −2.66714 + 1.12714i
\(83\) 7.74273 + 1.33993i 0.849875 + 0.147077i 0.578788 0.815478i \(-0.303526\pi\)
0.271087 + 0.962555i \(0.412617\pi\)
\(84\) 0.531319 6.18603i 0.0579716 0.674951i
\(85\) 0.193833 + 2.25676i 0.0210241 + 0.244780i
\(86\) 0.357371 0.0618454i 0.0385363 0.00666897i
\(87\) −0.746737 + 0.479899i −0.0800586 + 0.0514505i
\(88\) −13.2788 + 21.5623i −1.41552 + 2.29854i
\(89\) 8.56571 + 5.50485i 0.907963 + 0.583513i 0.909142 0.416487i \(-0.136739\pi\)
−0.00117856 + 0.999999i \(0.500375\pi\)
\(90\) −7.12127 3.00947i −0.750648 0.317226i
\(91\) 12.9938 3.02157i 1.36212 0.316747i
\(92\) −7.37448 + 18.9412i −0.768843 + 1.97476i
\(93\) 0.489185 + 0.811222i 0.0507261 + 0.0841198i
\(94\) 10.0192 30.8361i 1.03341 3.18050i
\(95\) −0.825205 + 1.07014i −0.0846642 + 0.109795i
\(96\) 1.01998 + 2.61979i 0.104101 + 0.267381i
\(97\) 2.37502 + 3.47335i 0.241146 + 0.352665i 0.926992 0.375082i \(-0.122385\pi\)
−0.685845 + 0.727747i \(0.740567\pi\)
\(98\) 7.71013 53.6251i 0.778841 5.41696i
\(99\) −9.70385 + 1.02166i −0.975274 + 0.102680i
\(100\) −0.698126 4.85558i −0.0698126 0.485558i
\(101\) 0.302194 0.277352i 0.0300695 0.0275975i −0.660999 0.750386i \(-0.729867\pi\)
0.691069 + 0.722789i \(0.257140\pi\)
\(102\) 1.43123 + 0.0818408i 0.141713 + 0.00810345i
\(103\) −1.22331 6.03726i −0.120536 0.594869i −0.994128 0.108210i \(-0.965488\pi\)
0.873592 0.486659i \(-0.161785\pi\)
\(104\) −15.0047 + 12.2693i −1.47133 + 1.20310i
\(105\) 1.13582 + 0.558445i 0.110845 + 0.0544987i
\(106\) −4.66997 + 1.66624i −0.453587 + 0.161840i
\(107\) 10.9266 + 14.1699i 1.05631 + 1.36985i 0.925631 + 0.378428i \(0.123535\pi\)
0.130683 + 0.991424i \(0.458283\pi\)
\(108\) −3.62527 + 6.01184i −0.348842 + 0.578489i
\(109\) 0.0583205 + 0.0673054i 0.00558609 + 0.00644669i 0.758536 0.651631i \(-0.225915\pi\)
−0.752950 + 0.658078i \(0.771370\pi\)
\(110\) −5.25741 6.95127i −0.501275 0.662778i
\(111\) −0.745616 + 0.860487i −0.0707708 + 0.0816738i
\(112\) 16.6501 + 51.2437i 1.57329 + 4.84207i
\(113\) −2.33762 0.834060i −0.219905 0.0784618i 0.223799 0.974635i \(-0.428154\pi\)
−0.443704 + 0.896173i \(0.646336\pi\)
\(114\) 0.596078 + 0.613350i 0.0558278 + 0.0574454i
\(115\) −3.05271 2.80175i −0.284667 0.261265i
\(116\) 10.2048 14.9240i 0.947492 1.38566i
\(117\) −7.27433 1.69157i −0.672512 0.156386i
\(118\) −12.8193 9.31375i −1.18011 0.857400i
\(119\) 11.8256 + 1.35687i 1.08405 + 0.124384i
\(120\) −1.83891 −0.167869
\(121\) −10.0506 4.47054i −0.913690 0.406412i
\(122\) −35.7229 −3.23420
\(123\) −2.38747 0.273937i −0.215271 0.0247000i
\(124\) −15.6095 11.3410i −1.40178 1.01845i
\(125\) 0.974012 + 0.226497i 0.0871183 + 0.0202585i
\(126\) −22.9321 + 33.5371i −2.04295 + 2.98772i
\(127\) −1.28167 1.17630i −0.113729 0.104380i 0.617293 0.786733i \(-0.288229\pi\)
−0.731023 + 0.682353i \(0.760957\pi\)
\(128\) −2.35183 2.41997i −0.207874 0.213898i
\(129\) 0.0313075 + 0.0111705i 0.00275647 + 0.000983507i
\(130\) −2.06142 6.34441i −0.180799 0.556441i
\(131\) −6.61375 + 7.63268i −0.577846 + 0.666870i −0.967140 0.254243i \(-0.918174\pi\)
0.389294 + 0.921114i \(0.372719\pi\)
\(132\) −3.42988 + 1.89490i −0.298532 + 0.164930i
\(133\) 4.65054 + 5.36701i 0.403253 + 0.465379i
\(134\) −13.9120 + 23.0705i −1.20182 + 1.99299i
\(135\) −0.873903 1.13330i −0.0752136 0.0975388i
\(136\) −16.2884 + 5.81170i −1.39672 + 0.498349i
\(137\) −16.2410 7.98517i −1.38756 0.682219i −0.413924 0.910312i \(-0.635842\pi\)
−0.973639 + 0.228093i \(0.926751\pi\)
\(138\) −2.03016 + 1.66005i −0.172818 + 0.141313i
\(139\) 3.84989 + 18.9999i 0.326543 + 1.61155i 0.721201 + 0.692726i \(0.243590\pi\)
−0.394658 + 0.918828i \(0.629137\pi\)
\(140\) −25.7371 1.47170i −2.17518 0.124381i
\(141\) 2.18933 2.00934i 0.184374 0.169217i
\(142\) 4.80604 + 33.4267i 0.403314 + 2.80511i
\(143\) −6.14949 5.75072i −0.514246 0.480899i
\(144\) 4.29281 29.8572i 0.357734 2.48810i
\(145\) 2.08027 + 3.04230i 0.172757 + 0.252650i
\(146\) 8.20420 + 21.0723i 0.678984 + 1.74396i
\(147\) 3.03211 3.93211i 0.250084 0.324315i
\(148\) 7.16626 22.0555i 0.589063 1.81295i
\(149\) 0.0499449 + 0.0828242i 0.00409164 + 0.00678523i 0.858388 0.513001i \(-0.171466\pi\)
−0.854296 + 0.519786i \(0.826012\pi\)
\(150\) 0.229623 0.589781i 0.0187486 0.0481554i
\(151\) 13.8712 3.22561i 1.12882 0.262496i 0.379817 0.925062i \(-0.375987\pi\)
0.749004 + 0.662566i \(0.230532\pi\)
\(152\) −9.50405 4.01644i −0.770880 0.325777i
\(153\) −5.60595 3.60273i −0.453214 0.291263i
\(154\) −41.2890 + 19.8236i −3.32717 + 1.59743i
\(155\) 3.30884 2.12646i 0.265772 0.170801i
\(156\) −2.95531 + 0.511437i −0.236614 + 0.0409477i
\(157\) −1.30942 15.2453i −0.104503 1.21671i −0.841291 0.540583i \(-0.818204\pi\)
0.736788 0.676124i \(-0.236342\pi\)
\(158\) 0.881924 10.2681i 0.0701621 0.816883i
\(159\) −0.447785 0.0774922i −0.0355116 0.00614553i
\(160\) 10.7520 4.54385i 0.850024 0.359223i
\(161\) −17.6162 + 12.7989i −1.38835 + 1.00870i
\(162\) 19.4067 10.9595i 1.52473 0.861057i
\(163\) 0.234713 + 8.21604i 0.0183842 + 0.643530i 0.955581 + 0.294729i \(0.0952293\pi\)
−0.937197 + 0.348801i \(0.886589\pi\)
\(164\) 46.9638 13.7898i 3.66726 1.07680i
\(165\) −0.106289 0.791694i −0.00827459 0.0616333i
\(166\) −19.8126 5.81750i −1.53776 0.451526i
\(167\) 1.14537 4.35744i 0.0886314 0.337189i −0.908023 0.418920i \(-0.862409\pi\)
0.996654 + 0.0817316i \(0.0260450\pi\)
\(168\) −1.91912 + 9.47123i −0.148063 + 0.730722i
\(169\) 3.05934 + 5.79810i 0.235334 + 0.446008i
\(170\) 0.169972 5.94979i 0.0130362 0.456328i
\(171\) −1.01069 3.84508i −0.0772897 0.294040i
\(172\) −0.675934 + 0.0386513i −0.0515395 + 0.00294713i
\(173\) −2.13574 + 2.19763i −0.162378 + 0.167083i −0.793438 0.608651i \(-0.791711\pi\)
0.631060 + 0.775734i \(0.282620\pi\)
\(174\) 2.09326 1.02919i 0.158690 0.0780225i
\(175\) 2.18306 4.78024i 0.165024 0.361352i
\(176\) 21.0159 26.7337i 1.58414 2.01513i
\(177\) −0.603296 1.32103i −0.0453465 0.0992951i
\(178\) −20.7136 16.9374i −1.55255 1.26951i
\(179\) −7.14187 + 13.5354i −0.533809 + 1.01168i 0.458594 + 0.888646i \(0.348353\pi\)
−0.992402 + 0.123034i \(0.960738\pi\)
\(180\) 12.5666 + 7.09667i 0.936657 + 0.528955i
\(181\) 11.7346 1.34642i 0.872223 0.100078i 0.333690 0.942683i \(-0.391706\pi\)
0.538533 + 0.842604i \(0.318979\pi\)
\(182\) −34.8280 + 3.99614i −2.58162 + 0.296214i
\(183\) −2.85089 1.60997i −0.210744 0.119013i
\(184\) 14.7638 27.9805i 1.08840 2.06275i
\(185\) 3.65971 + 2.99253i 0.269067 + 0.220015i
\(186\) −1.03412 2.26440i −0.0758250 0.166034i
\(187\) −3.44355 6.67665i −0.251817 0.488245i
\(188\) −25.1432 + 55.0560i −1.83376 + 4.01537i
\(189\) −6.74904 + 3.31828i −0.490920 + 0.241369i
\(190\) 2.47493 2.54664i 0.179550 0.184753i
\(191\) 22.1558 1.26692i 1.60314 0.0916709i 0.767538 0.641004i \(-0.221482\pi\)
0.835603 + 0.549333i \(0.185118\pi\)
\(192\) −0.622567 2.36849i −0.0449299 0.170931i
\(193\) −0.155155 + 5.43112i −0.0111683 + 0.390941i 0.974710 + 0.223475i \(0.0717401\pi\)
−0.985878 + 0.167466i \(0.946442\pi\)
\(194\) −5.16002 9.77933i −0.370468 0.702115i
\(195\) 0.121419 0.599225i 0.00869498 0.0429114i
\(196\) −25.7101 + 97.8115i −1.83644 + 6.98654i
\(197\) −11.2355 3.29903i −0.800495 0.235046i −0.144197 0.989549i \(-0.546060\pi\)
−0.656297 + 0.754502i \(0.727878\pi\)
\(198\) 25.6399 + 0.239550i 1.82215 + 0.0170241i
\(199\) −17.4192 + 5.11473i −1.23481 + 0.362573i −0.833064 0.553177i \(-0.813415\pi\)
−0.401748 + 0.915750i \(0.631597\pi\)
\(200\) 0.218031 + 7.63207i 0.0154171 + 0.539669i
\(201\) −2.15001 + 1.21417i −0.151650 + 0.0856408i
\(202\) −0.872021 + 0.633560i −0.0613552 + 0.0445772i
\(203\) 17.8403 7.53937i 1.25214 0.529160i
\(204\) −2.63692 0.456337i −0.184621 0.0319500i
\(205\) −0.853856 + 9.94127i −0.0596359 + 0.694328i
\(206\) 1.38523 + 16.1279i 0.0965135 + 1.12369i
\(207\) 12.0117 2.07871i 0.834872 0.144480i
\(208\) 21.8960 14.0717i 1.51821 0.975696i
\(209\) 1.17984 4.32387i 0.0816113 0.299089i
\(210\) −2.79801 1.79817i −0.193081 0.124086i
\(211\) 14.5140 + 6.13366i 0.999183 + 0.422258i 0.826632 0.562742i \(-0.190254\pi\)
0.172551 + 0.985001i \(0.444799\pi\)
\(212\) 9.01540 2.09644i 0.619180 0.143984i
\(213\) −1.12294 + 2.88425i −0.0769425 + 0.197625i
\(214\) −24.2815 40.2664i −1.65985 2.75255i
\(215\) 0.0426493 0.131261i 0.00290865 0.00895192i
\(216\) 6.67241 8.65294i 0.454000 0.588758i
\(217\) −7.49910 19.2613i −0.509072 1.30754i
\(218\) −0.132096 0.193184i −0.00894668 0.0130841i
\(219\) −0.294953 + 2.05144i −0.0199311 + 0.138624i
\(220\) 8.27111 + 14.0104i 0.557638 + 0.944584i
\(221\) −0.818310 5.69147i −0.0550455 0.382850i
\(222\) 2.20434 2.02313i 0.147946 0.135783i
\(223\) 5.39554 + 0.308528i 0.361312 + 0.0206606i 0.236802 0.971558i \(-0.423901\pi\)
0.124510 + 0.992218i \(0.460264\pi\)
\(224\) −12.1819 60.1201i −0.813939 4.01695i
\(225\) −2.27752 + 1.86232i −0.151835 + 0.124155i
\(226\) 5.85299 + 2.87772i 0.389335 + 0.191423i
\(227\) −20.2688 + 7.23189i −1.34529 + 0.479998i −0.907867 0.419259i \(-0.862290\pi\)
−0.437421 + 0.899257i \(0.644108\pi\)
\(228\) −0.974958 1.26435i −0.0645682 0.0837335i
\(229\) 1.27483 2.11407i 0.0842432 0.139702i −0.811374 0.584528i \(-0.801280\pi\)
0.895617 + 0.444826i \(0.146734\pi\)
\(230\) 7.13046 + 8.22899i 0.470169 + 0.542604i
\(231\) −4.18852 0.278790i −0.275584 0.0183430i
\(232\) −18.4276 + 21.2666i −1.20983 + 1.39622i
\(233\) 4.56813 + 14.0593i 0.299268 + 0.921053i 0.981754 + 0.190154i \(0.0608987\pi\)
−0.682486 + 0.730899i \(0.739101\pi\)
\(234\) 18.4844 + 6.59522i 1.20836 + 0.431143i
\(235\) −8.59902 8.84818i −0.560938 0.577192i
\(236\) 21.7925 + 20.0010i 1.41857 + 1.30195i
\(237\) 0.533147 0.779703i 0.0346316 0.0506472i
\(238\) −30.4668 7.08475i −1.97487 0.459236i
\(239\) −21.1357 15.3560i −1.36715 0.993296i −0.997953 0.0639460i \(-0.979631\pi\)
−0.369201 0.929350i \(-0.620369\pi\)
\(240\) 2.45330 + 0.281490i 0.158360 + 0.0181701i
\(241\) −4.82888 −0.311056 −0.155528 0.987832i \(-0.549708\pi\)
−0.155528 + 0.987832i \(0.549708\pi\)
\(242\) 24.9000 + 14.6819i 1.60063 + 0.943789i
\(243\) 6.33602 0.406456
\(244\) 66.2510 + 7.60160i 4.24129 + 0.486642i
\(245\) −16.6791 12.1180i −1.06559 0.774193i
\(246\) 6.15092 + 1.43034i 0.392168 + 0.0911949i
\(247\) 1.93632 2.83178i 0.123205 0.180182i
\(248\) 22.1250 + 20.3061i 1.40494 + 1.28944i
\(249\) −1.31897 1.35719i −0.0835866 0.0860085i
\(250\) −2.47501 0.883082i −0.156533 0.0558510i
\(251\) −0.480638 1.47925i −0.0303376 0.0933695i 0.934741 0.355329i \(-0.115631\pi\)
−0.965079 + 0.261960i \(0.915631\pi\)
\(252\) 49.6659 57.3175i 3.12866 3.61066i
\(253\) 12.8996 + 4.73890i 0.810993 + 0.297932i
\(254\) 2.99369 + 3.45490i 0.187841 + 0.216780i
\(255\) 0.281712 0.467167i 0.0176415 0.0292551i
\(256\) −7.00321 9.08193i −0.437701 0.567620i
\(257\) −19.3444 + 6.90207i −1.20667 + 0.430539i −0.861382 0.507957i \(-0.830401\pi\)
−0.345288 + 0.938497i \(0.612219\pi\)
\(258\) −0.0783885 0.0385410i −0.00488026 0.00239946i
\(259\) 19.2323 15.7261i 1.19503 0.977175i
\(260\) 2.47303 + 12.2049i 0.153371 + 0.756915i
\(261\) −10.8251 0.619003i −0.670059 0.0383153i
\(262\) 19.5529 17.9455i 1.20798 1.10868i
\(263\) −2.89794 20.1556i −0.178695 1.24285i −0.859787 0.510652i \(-0.829404\pi\)
0.681092 0.732197i \(-0.261505\pi\)
\(264\) 5.63984 2.32156i 0.347108 0.142882i
\(265\) −0.268526 + 1.86764i −0.0164954 + 0.114728i
\(266\) −10.5335 15.4048i −0.645851 0.944526i
\(267\) −0.889720 2.28523i −0.0544500 0.139854i
\(268\) 30.7103 39.8258i 1.87593 2.43275i
\(269\) 3.92810 12.0895i 0.239501 0.737107i −0.756992 0.653424i \(-0.773332\pi\)
0.996492 0.0836827i \(-0.0266682\pi\)
\(270\) 1.94202 + 3.22048i 0.118188 + 0.195992i
\(271\) 8.87206 22.7877i 0.538939 1.38425i −0.354494 0.935058i \(-0.615347\pi\)
0.893433 0.449196i \(-0.148290\pi\)
\(272\) 22.6201 5.26009i 1.37155 0.318940i
\(273\) −2.95957 1.25073i −0.179122 0.0756974i
\(274\) 40.0085 + 25.7119i 2.41700 + 1.55331i
\(275\) −3.27319 + 0.535002i −0.197381 + 0.0322618i
\(276\) 4.11834 2.64670i 0.247895 0.159312i
\(277\) −0.875347 + 0.151485i −0.0525945 + 0.00910184i −0.196759 0.980452i \(-0.563042\pi\)
0.144164 + 0.989554i \(0.453951\pi\)
\(278\) −4.35948 50.7565i −0.261464 3.04417i
\(279\) −0.990232 + 11.5291i −0.0592837 + 0.690227i
\(280\) 39.5363 + 6.84202i 2.36274 + 0.408889i
\(281\) −5.15668 + 2.17923i −0.307622 + 0.130002i −0.537616 0.843190i \(-0.680675\pi\)
0.229994 + 0.973192i \(0.426129\pi\)
\(282\) −6.31758 + 4.58999i −0.376206 + 0.273330i
\(283\) −5.73650 + 3.23955i −0.341000 + 0.192571i −0.652714 0.757605i \(-0.726370\pi\)
0.311714 + 0.950176i \(0.399097\pi\)
\(284\) −1.80020 63.0153i −0.106822 3.73927i
\(285\) 0.312286 0.0916956i 0.0184983 0.00543158i
\(286\) 14.3319 + 16.8555i 0.847462 + 0.996687i
\(287\) 50.3111 + 14.7727i 2.96977 + 0.872003i
\(288\) −8.73015 + 33.2129i −0.514429 + 1.95709i
\(289\) −2.35717 + 11.6331i −0.138657 + 0.684298i
\(290\) −4.51966 8.56570i −0.265403 0.502995i
\(291\) 0.0289391 1.01300i 0.00169644 0.0593831i
\(292\) −10.7313 40.8261i −0.628002 2.38917i
\(293\) −5.16092 + 0.295112i −0.301504 + 0.0172406i −0.207186 0.978301i \(-0.566431\pi\)
−0.0943179 + 0.995542i \(0.530067\pi\)
\(294\) −9.09381 + 9.35731i −0.530362 + 0.545729i
\(295\) −5.41120 + 2.66051i −0.315052 + 0.154901i
\(296\) −14.9944 + 32.8331i −0.871529 + 1.90838i
\(297\) 4.11097 + 2.37250i 0.238542 + 0.137666i
\(298\) −0.105581 0.231191i −0.00611615 0.0133925i
\(299\) 8.14289 + 6.65841i 0.470915 + 0.385066i
\(300\) −0.551355 + 1.04493i −0.0318325 + 0.0603293i
\(301\) −0.631545 0.356650i −0.0364017 0.0205570i
\(302\) −37.1798 + 4.26598i −2.13946 + 0.245480i
\(303\) −0.0981458 + 0.0112612i −0.00563833 + 0.000646938i
\(304\) 12.0646 + 6.81319i 0.691952 + 0.390763i
\(305\) −6.34390 + 12.0230i −0.363251 + 0.688436i
\(306\) 13.5563 + 11.0849i 0.774961 + 0.633682i
\(307\) 6.08739 + 13.3295i 0.347426 + 0.760757i 0.999995 + 0.00302772i \(0.000963756\pi\)
−0.652570 + 0.757729i \(0.726309\pi\)
\(308\) 80.7922 27.9785i 4.60356 1.59422i
\(309\) −0.616311 + 1.34953i −0.0350607 + 0.0767722i
\(310\) −9.27538 + 4.56040i −0.526806 + 0.259013i
\(311\) 3.59808 3.70234i 0.204029 0.209941i −0.607393 0.794401i \(-0.707785\pi\)
0.811422 + 0.584461i \(0.198694\pi\)
\(312\) 4.66056 0.266500i 0.263852 0.0150876i
\(313\) −4.86565 18.5109i −0.275023 1.04630i −0.950954 0.309331i \(-0.899895\pi\)
0.675931 0.736965i \(-0.263742\pi\)
\(314\) −1.14823 + 40.1932i −0.0647982 + 2.26823i
\(315\) 7.21494 + 13.6738i 0.406516 + 0.770434i
\(316\) −3.82058 + 18.8553i −0.214924 + 1.06069i
\(317\) −2.41128 + 9.17347i −0.135431 + 0.515234i 0.864490 + 0.502651i \(0.167642\pi\)
−0.999921 + 0.0125830i \(0.995995\pi\)
\(318\) 1.14582 + 0.336443i 0.0642544 + 0.0188668i
\(319\) −10.2209 6.70432i −0.572260 0.375370i
\(320\) −9.75620 + 2.86468i −0.545388 + 0.160140i
\(321\) −0.123064 4.30782i −0.00686879 0.240439i
\(322\) 49.8246 28.1373i 2.77662 1.56803i
\(323\) 2.47633 1.79916i 0.137787 0.100108i
\(324\) −38.3234 + 16.1956i −2.12908 + 0.899756i
\(325\) −2.50138 0.432880i −0.138751 0.0240119i
\(326\) 1.84835 21.5200i 0.102371 1.19188i
\(327\) −0.00183552 0.0213706i −0.000101505 0.00118180i
\(328\) −75.0671 + 12.9909i −4.14489 + 0.717301i
\(329\) −54.5464 + 35.0548i −3.00724 + 1.93263i
\(330\) 0.0403368 + 2.09872i 0.00222047 + 0.115531i
\(331\) −25.4307 16.3434i −1.39780 0.898312i −0.397982 0.917393i \(-0.630290\pi\)
−0.999818 + 0.0190812i \(0.993926\pi\)
\(332\) 35.5062 + 15.0050i 1.94865 + 0.823508i
\(333\) −13.5467 + 3.15014i −0.742352 + 0.172627i
\(334\) −4.29549 + 11.0329i −0.235039 + 0.603693i
\(335\) 5.29411 + 8.77930i 0.289248 + 0.479664i
\(336\) 4.01012 12.3419i 0.218770 0.673304i
\(337\) 3.84519 4.98653i 0.209461 0.271634i −0.675438 0.737417i \(-0.736045\pi\)
0.884899 + 0.465783i \(0.154227\pi\)
\(338\) −6.25022 16.0536i −0.339967 0.873198i
\(339\) 0.337408 + 0.493443i 0.0183255 + 0.0268002i
\(340\) −1.58130 + 10.9982i −0.0857581 + 0.596461i
\(341\) −7.46346 + 10.6990i −0.404169 + 0.579386i
\(342\) 1.48683 + 10.3411i 0.0803984 + 0.559183i
\(343\) −52.7184 + 48.3846i −2.84653 + 2.61252i
\(344\) 1.05206 + 0.0601589i 0.0567232 + 0.00324355i
\(345\) 0.198185 + 0.978079i 0.0106699 + 0.0526580i
\(346\) 6.23410 5.09760i 0.335147 0.274048i
\(347\) −2.77051 1.36217i −0.148729 0.0731251i 0.365339 0.930875i \(-0.380953\pi\)
−0.514068 + 0.857749i \(0.671862\pi\)
\(348\) −4.10113 + 1.46328i −0.219844 + 0.0784401i
\(349\) −11.5934 15.0346i −0.620583 0.804786i 0.371756 0.928330i \(-0.378756\pi\)
−0.992339 + 0.123545i \(0.960574\pi\)
\(350\) −7.13125 + 11.8259i −0.381181 + 0.632118i
\(351\) 2.37908 + 2.74560i 0.126986 + 0.146549i
\(352\) −27.2395 + 27.5099i −1.45187 + 1.46628i
\(353\) 0.276436 0.319024i 0.0147132 0.0169799i −0.748345 0.663309i \(-0.769151\pi\)
0.763058 + 0.646329i \(0.223697\pi\)
\(354\) 1.17931 + 3.62955i 0.0626797 + 0.192908i
\(355\) 12.1037 + 4.31860i 0.642398 + 0.229207i
\(356\) 34.8108 + 35.8195i 1.84497 + 1.89843i
\(357\) −2.11213 1.93849i −0.111786 0.102596i
\(358\) 22.6998 33.1975i 1.19972 1.75454i
\(359\) 21.9208 + 5.09745i 1.15693 + 0.269033i 0.760692 0.649113i \(-0.224860\pi\)
0.396242 + 0.918146i \(0.370314\pi\)
\(360\) −18.1727 13.2032i −0.957784 0.695871i
\(361\) −17.0619 1.95767i −0.897994 0.103035i
\(362\) −31.0388 −1.63136
\(363\) 1.32547 + 2.29390i 0.0695691 + 0.120399i
\(364\) 65.4417 3.43008
\(365\) 8.54913 + 0.980921i 0.447482 + 0.0513438i
\(366\) 6.96057 + 5.05715i 0.363835 + 0.264341i
\(367\) −12.6761 2.94770i −0.661687 0.153869i −0.117813 0.993036i \(-0.537588\pi\)
−0.543874 + 0.839167i \(0.683043\pi\)
\(368\) −23.9796 + 35.0690i −1.25002 + 1.82810i
\(369\) −21.6269 19.8490i −1.12585 1.03330i
\(370\) −8.65800 8.90887i −0.450108 0.463150i
\(371\) 9.33899 + 3.33214i 0.484856 + 0.172996i
\(372\) 1.43600 + 4.41956i 0.0744533 + 0.229144i
\(373\) −16.7330 + 19.3109i −0.866400 + 0.999879i 0.133561 + 0.991041i \(0.457359\pi\)
−0.999961 + 0.00883857i \(0.997187\pi\)
\(374\) 6.99010 + 18.4623i 0.361450 + 0.954662i
\(375\) −0.157721 0.182020i −0.00814467 0.00939945i
\(376\) 48.6473 80.6725i 2.50879 4.16037i
\(377\) −5.71318 7.40899i −0.294244 0.381582i
\(378\) 18.6137 6.64136i 0.957387 0.341595i
\(379\) −17.1515 8.43282i −0.881013 0.433165i −0.0561004 0.998425i \(-0.517867\pi\)
−0.824913 + 0.565260i \(0.808776\pi\)
\(380\) −5.13186 + 4.19631i −0.263259 + 0.215266i
\(381\) 0.0832068 + 0.410642i 0.00426281 + 0.0210378i
\(382\) −58.2219 3.32925i −2.97889 0.170339i
\(383\) 18.9328 17.3763i 0.967419 0.887889i −0.0263154 0.999654i \(-0.508377\pi\)
0.993735 + 0.111764i \(0.0356502\pi\)
\(384\) 0.115665 + 0.804469i 0.00590251 + 0.0410529i
\(385\) −0.660457 + 17.4168i −0.0336600 + 0.887642i
\(386\) 2.03196 14.1326i 0.103424 0.719329i
\(387\) 0.229188 + 0.335176i 0.0116503 + 0.0170380i
\(388\) 7.48871 + 19.2346i 0.380181 + 0.976488i
\(389\) 5.26923 6.83326i 0.267161 0.346460i −0.639142 0.769088i \(-0.720711\pi\)
0.906303 + 0.422628i \(0.138892\pi\)
\(390\) −0.496487 + 1.52803i −0.0251406 + 0.0773747i
\(391\) 4.84659 + 8.03716i 0.245102 + 0.406457i
\(392\) 57.1097 146.685i 2.88448 7.40872i
\(393\) 2.36921 0.550936i 0.119511 0.0277911i
\(394\) 28.3443 + 11.9784i 1.42796 + 0.603463i
\(395\) −3.29924 2.12029i −0.166003 0.106683i
\(396\) −47.5004 5.90027i −2.38698 0.296500i
\(397\) 0.598692 0.384756i 0.0300475 0.0193104i −0.525531 0.850775i \(-0.676133\pi\)
0.555578 + 0.831464i \(0.312497\pi\)
\(398\) 47.0084 8.13512i 2.35632 0.407777i
\(399\) −0.146367 1.70412i −0.00732750 0.0853125i
\(400\) 0.877399 10.2154i 0.0438700 0.510769i
\(401\) −30.1404 5.21601i −1.50514 0.260475i −0.642498 0.766288i \(-0.722102\pi\)
−0.862643 + 0.505813i \(0.831193\pi\)
\(402\) 5.97675 2.52580i 0.298093 0.125975i
\(403\) −8.07780 + 5.86887i −0.402384 + 0.292349i
\(404\) 1.75205 0.989429i 0.0871678 0.0492259i
\(405\) −0.242192 8.47784i −0.0120346 0.421267i
\(406\) −48.8342 + 14.3390i −2.42360 + 0.711633i
\(407\) −15.0021 4.55768i −0.743627 0.225916i
\(408\) 3.99652 + 1.17349i 0.197857 + 0.0580962i
\(409\) −5.54493 + 21.0951i −0.274179 + 1.04309i 0.677384 + 0.735630i \(0.263114\pi\)
−0.951563 + 0.307455i \(0.900523\pi\)
\(410\) 5.20708 25.6979i 0.257159 1.26913i
\(411\) 2.03411 + 3.85508i 0.100335 + 0.190157i
\(412\) 0.862897 30.2053i 0.0425119 1.48811i
\(413\) 8.05562 + 30.6468i 0.396391 + 1.50803i
\(414\) −31.9817 + 1.82878i −1.57181 + 0.0898796i
\(415\) −5.47641 + 5.63509i −0.268826 + 0.276616i
\(416\) −26.5917 + 13.0742i −1.30376 + 0.641018i
\(417\) 1.93960 4.24713i 0.0949826 0.207983i
\(418\) −4.37544 + 10.9349i −0.214010 + 0.534845i
\(419\) −3.47783 7.61539i −0.169903 0.372036i 0.805457 0.592654i \(-0.201920\pi\)
−0.975360 + 0.220618i \(0.929193\pi\)
\(420\) 4.80650 + 3.93025i 0.234533 + 0.191777i
\(421\) 1.65673 3.13985i 0.0807441 0.153027i −0.840745 0.541431i \(-0.817883\pi\)
0.921489 + 0.388404i \(0.126974\pi\)
\(422\) −36.0544 20.3608i −1.75510 0.991150i
\(423\) 36.0626 4.13779i 1.75342 0.201186i
\(424\) −14.3125 + 1.64221i −0.695078 + 0.0797527i
\(425\) −1.97230 1.11381i −0.0956704 0.0540276i
\(426\) 3.79564 7.19354i 0.183899 0.348528i
\(427\) 55.3036 + 45.2215i 2.67633 + 2.18842i
\(428\) 36.4636 + 79.8442i 1.76254 + 3.85942i
\(429\) 0.384116 + 1.99108i 0.0185453 + 0.0961303i
\(430\) −0.150664 + 0.329908i −0.00726566 + 0.0159096i
\(431\) 1.12245 0.551873i 0.0540667 0.0265828i −0.413988 0.910283i \(-0.635864\pi\)
0.468054 + 0.883700i \(0.344955\pi\)
\(432\) −10.2263 + 10.5226i −0.492011 + 0.506267i
\(433\) −17.8918 + 1.02309i −0.859825 + 0.0491666i −0.481437 0.876481i \(-0.659885\pi\)
−0.378388 + 0.925647i \(0.623521\pi\)
\(434\) 13.8082 + 52.5318i 0.662815 + 2.52161i
\(435\) 0.0253477 0.887286i 0.00121533 0.0425421i
\(436\) 0.203875 + 0.386385i 0.00976383 + 0.0185045i
\(437\) −1.11199 + 5.48788i −0.0531936 + 0.262521i
\(438\) 1.38454 5.26735i 0.0661561 0.251684i
\(439\) −17.4555 5.12539i −0.833104 0.244621i −0.162754 0.986667i \(-0.552038\pi\)
−0.670350 + 0.742045i \(0.733856\pi\)
\(440\) −10.3039 23.1319i −0.491220 1.10277i
\(441\) 58.1966 17.0880i 2.77126 0.813717i
\(442\) 0.431483 + 15.1039i 0.0205235 + 0.718418i
\(443\) 29.0656 16.4141i 1.38095 0.779856i 0.390878 0.920443i \(-0.372171\pi\)
0.990068 + 0.140586i \(0.0448988\pi\)
\(444\) −4.51864 + 3.28299i −0.214445 + 0.155804i
\(445\) −9.37895 + 3.96358i −0.444605 + 0.187892i
\(446\) −13.9937 2.42171i −0.662623 0.114671i
\(447\) 0.00199340 0.0232087i 9.42845e−5 0.00109773i
\(448\) 4.57267 + 53.2386i 0.216038 + 2.51529i
\(449\) −35.8613 + 6.20604i −1.69240 + 0.292881i −0.933566 0.358404i \(-0.883321\pi\)
−0.758833 + 0.651286i \(0.774230\pi\)
\(450\) 6.50379 4.17973i 0.306591 0.197034i
\(451\) −9.93177 31.5673i −0.467669 1.48645i
\(452\) −10.2425 6.58244i −0.481766 0.309612i
\(453\) −3.15942 1.33518i −0.148443 0.0627323i
\(454\) 55.0822 12.8088i 2.58513 0.601147i
\(455\) −4.84002 + 12.4315i −0.226904 + 0.582798i
\(456\) 1.28326 + 2.12805i 0.0600942 + 0.0996551i
\(457\) 1.94545 5.98747i 0.0910042 0.280082i −0.895188 0.445690i \(-0.852958\pi\)
0.986192 + 0.165607i \(0.0529585\pi\)
\(458\) −3.96148 + 5.13733i −0.185108 + 0.240052i
\(459\) 1.17606 + 3.02069i 0.0548938 + 0.140994i
\(460\) −11.4730 16.7787i −0.534929 0.782309i
\(461\) −0.474922 + 3.30316i −0.0221193 + 0.153843i −0.997888 0.0649627i \(-0.979307\pi\)
0.975768 + 0.218806i \(0.0702162\pi\)
\(462\) 10.8515 + 1.98251i 0.504856 + 0.0922348i
\(463\) 0.626877 + 4.36002i 0.0291334 + 0.202628i 0.999189 0.0402536i \(-0.0128166\pi\)
−0.970056 + 0.242881i \(0.921907\pi\)
\(464\) 27.8398 25.5511i 1.29243 1.18618i
\(465\) −0.945758 0.0540804i −0.0438585 0.00250792i
\(466\) −7.71458 38.0729i −0.357371 1.76370i
\(467\) −20.8053 + 17.0124i −0.962753 + 0.787239i −0.977127 0.212657i \(-0.931788\pi\)
0.0143738 + 0.999897i \(0.495425\pi\)
\(468\) −32.8774 16.1647i −1.51976 0.747215i
\(469\) 50.7425 18.1049i 2.34307 0.836006i
\(470\) 19.7990 + 25.6758i 0.913261 + 1.18434i
\(471\) −1.90308 + 3.15590i −0.0876892 + 0.145416i
\(472\) −30.1493 34.7941i −1.38773 1.60153i
\(473\) 0.0349092 + 0.456414i 0.00160513 + 0.0209859i
\(474\) −1.62545 + 1.87587i −0.0746594 + 0.0861616i
\(475\) −0.417593 1.28522i −0.0191605 0.0589699i
\(476\) 54.9956 + 19.6224i 2.52072 + 0.899390i
\(477\) −3.86876 3.98086i −0.177139 0.182271i
\(478\) 50.5791 + 46.4211i 2.31344 + 2.12325i
\(479\) 14.6623 21.4430i 0.669939 0.979755i −0.329428 0.944181i \(-0.606856\pi\)
0.999367 0.0355744i \(-0.0113261\pi\)
\(480\) −2.73828 0.636760i −0.124985 0.0290640i
\(481\) −9.70891 7.05394i −0.442688 0.321632i
\(482\) 12.6068 + 1.44649i 0.574223 + 0.0658860i
\(483\) 5.24439 0.238628
\(484\) −43.0548 32.5273i −1.95704 1.47852i
\(485\) −4.20772 −0.191063
\(486\) −16.5415 1.89796i −0.750336 0.0860930i
\(487\) −18.2628 13.2687i −0.827567 0.601263i 0.0913027 0.995823i \(-0.470897\pi\)
−0.918870 + 0.394560i \(0.870897\pi\)
\(488\) −101.096 23.5088i −4.57639 1.06419i
\(489\) 1.11738 1.63411i 0.0505296 0.0738972i
\(490\) 39.9141 + 36.6328i 1.80314 + 1.65490i
\(491\) −4.07772 4.19587i −0.184025 0.189357i 0.618842 0.785515i \(-0.287602\pi\)
−0.802867 + 0.596158i \(0.796693\pi\)
\(492\) −11.1030 3.96155i −0.500563 0.178600i
\(493\) −2.57966 7.93939i −0.116182 0.357572i
\(494\) −5.90343 + 6.81292i −0.265608 + 0.306528i
\(495\) 4.63393 8.58693i 0.208279 0.385954i
\(496\) −26.4087 30.4773i −1.18579 1.36847i
\(497\) 34.8745 57.8328i 1.56433 2.59416i
\(498\) 3.03690 + 3.93833i 0.136087 + 0.176481i
\(499\) 14.5254 5.18264i 0.650244 0.232007i 0.00972966 0.999953i \(-0.496903\pi\)
0.640515 + 0.767946i \(0.278721\pi\)
\(500\) 4.40219 + 2.16441i 0.196872 + 0.0967955i
\(501\) −0.840039 + 0.686897i −0.0375302 + 0.0306883i
\(502\) 0.811693 + 4.00586i 0.0362276 + 0.178790i
\(503\) −19.1465 1.09483i −0.853699 0.0488163i −0.375241 0.926927i \(-0.622440\pi\)
−0.478457 + 0.878111i \(0.658804\pi\)
\(504\) −86.9681 + 79.8186i −3.87387 + 3.55540i
\(505\) 0.0583743 + 0.406002i 0.00259762 + 0.0180669i
\(506\) −32.2576 16.2359i −1.43402 0.721776i
\(507\) 0.224704 1.56285i 0.00997947 0.0694087i
\(508\) −4.81686 7.04443i −0.213714 0.312546i
\(509\) −2.09971 5.39306i −0.0930680 0.239043i 0.877633 0.479333i \(-0.159121\pi\)
−0.970701 + 0.240289i \(0.922758\pi\)
\(510\) −0.875406 + 1.13525i −0.0387636 + 0.0502696i
\(511\) 13.9742 43.0083i 0.618184 1.90257i
\(512\) 19.0480 + 31.5876i 0.841811 + 1.39599i
\(513\) −0.701649 + 1.80217i −0.0309786 + 0.0795678i
\(514\) 52.5700 12.2246i 2.31876 0.539206i
\(515\) 5.67407 + 2.39788i 0.250030 + 0.105663i
\(516\) 0.137177 + 0.0881581i 0.00603887 + 0.00388094i
\(517\) 37.5433 + 16.2810i 1.65115 + 0.716036i
\(518\) −54.9205 + 35.2953i −2.41307 + 1.55079i
\(519\) 0.727257 0.125857i 0.0319230 0.00552450i
\(520\) −1.65865 19.3113i −0.0727364 0.846855i
\(521\) −3.75779 + 43.7512i −0.164632 + 1.91677i 0.190027 + 0.981779i \(0.439142\pi\)
−0.354659 + 0.934996i \(0.615403\pi\)
\(522\) 28.0758 + 4.85871i 1.22884 + 0.212660i
\(523\) 19.3690 8.18540i 0.846946 0.357922i 0.0777793 0.996971i \(-0.475217\pi\)
0.769167 + 0.639048i \(0.220672\pi\)
\(524\) −40.0812 + 29.1207i −1.75095 + 1.27214i
\(525\) −1.10209 + 0.622377i −0.0480990 + 0.0271628i
\(526\) 1.52804 + 53.4885i 0.0666258 + 2.33221i
\(527\) −8.54813 + 2.50996i −0.372362 + 0.109335i
\(528\) −7.87952 + 2.23389i −0.342912 + 0.0972176i
\(529\) 5.59491 + 1.64281i 0.243257 + 0.0714267i
\(530\) 1.26050 4.79542i 0.0547524 0.208300i
\(531\) 3.52296 17.3865i 0.152884 0.754510i
\(532\) 16.2572 + 30.8108i 0.704840 + 1.33582i
\(533\) 0.723307 25.3191i 0.0313299 1.09669i
\(534\) 1.63825 + 6.23257i 0.0708942 + 0.269710i
\(535\) −17.8643 + 1.02152i −0.772340 + 0.0441640i
\(536\) −54.5535 + 56.1342i −2.35635 + 2.42463i
\(537\) 3.30773 1.62630i 0.142739 0.0701802i
\(538\) −13.8765 + 30.3853i −0.598259 + 1.31000i
\(539\) 66.4524 + 16.1087i 2.86231 + 0.693851i
\(540\) −2.91634 6.38590i −0.125499 0.274805i
\(541\) −13.8728 11.3437i −0.596438 0.487705i 0.285939 0.958248i \(-0.407695\pi\)
−0.882377 + 0.470543i \(0.844058\pi\)
\(542\) −29.9884 + 56.8343i −1.28811 + 2.44124i
\(543\) −2.47707 1.39887i −0.106301 0.0600312i
\(544\) −26.2672 + 3.01388i −1.12620 + 0.129219i
\(545\) −0.0884773 + 0.0101518i −0.00378995 + 0.000434856i
\(546\) 7.35192 + 4.15182i 0.314633 + 0.177681i
\(547\) −10.3225 + 19.5633i −0.441358 + 0.836467i 0.558617 + 0.829426i \(0.311332\pi\)
−0.999975 + 0.00704128i \(0.997759\pi\)
\(548\) −68.7277 56.1984i −2.93590 2.40068i
\(549\) −16.6139 36.3795i −0.709066 1.55264i
\(550\) 8.70559 0.416246i 0.371208 0.0177488i
\(551\) 2.06897 4.53040i 0.0881409 0.193002i
\(552\) −6.83780 + 3.36192i −0.291036 + 0.143093i
\(553\) −14.3636 + 14.7798i −0.610804 + 0.628502i
\(554\) 2.33065 0.133271i 0.0990198 0.00566216i
\(555\) −0.289450 1.10118i −0.0122865 0.0467425i
\(556\) −2.71564 + 95.0597i −0.115169 + 4.03143i
\(557\) −3.94038 7.46784i −0.166959 0.316423i 0.786688 0.617351i \(-0.211794\pi\)
−0.953647 + 0.300929i \(0.902703\pi\)
\(558\) 6.03874 29.8024i 0.255640 1.26163i
\(559\) −0.0890682 + 0.338851i −0.00376719 + 0.0143319i
\(560\) −51.6983 15.1800i −2.18465 0.641471i
\(561\) −0.274215 + 1.78843i −0.0115773 + 0.0755075i
\(562\) 14.1154 4.14464i 0.595420 0.174831i
\(563\) 0.302584 + 10.5918i 0.0127524 + 0.446392i 0.980731 + 0.195361i \(0.0625878\pi\)
−0.967979 + 0.251031i \(0.919230\pi\)
\(564\) 12.6932 7.16817i 0.534480 0.301835i
\(565\) 2.00795 1.45886i 0.0844749 0.0613746i
\(566\) 15.9467 6.73914i 0.670291 0.283267i
\(567\) −43.9176 7.60024i −1.84437 0.319180i
\(568\) −8.39665 + 97.7604i −0.352316 + 4.10194i
\(569\) −2.79616 32.5551i −0.117221 1.36478i −0.784573 0.620037i \(-0.787118\pi\)
0.667352 0.744743i \(-0.267428\pi\)
\(570\) −0.842755 + 0.145844i −0.0352991 + 0.00610875i
\(571\) −5.22878 + 3.36033i −0.218818 + 0.140626i −0.645458 0.763796i \(-0.723333\pi\)
0.426640 + 0.904421i \(0.359697\pi\)
\(572\) −22.9929 34.3096i −0.961381 1.43456i
\(573\) −4.49640 2.88966i −0.187840 0.120717i
\(574\) −126.922 53.6378i −5.29763 2.23880i
\(575\) 4.03585 0.938497i 0.168307 0.0391380i
\(576\) 10.8532 27.8762i 0.452216 1.16151i
\(577\) −9.54194 15.8235i −0.397236 0.658742i 0.591855 0.806044i \(-0.298396\pi\)
−0.989092 + 0.147302i \(0.952941\pi\)
\(578\) 9.63855 29.6644i 0.400911 1.23388i
\(579\) 0.799094 1.03628i 0.0332092 0.0430665i
\(580\) 6.55935 + 16.8475i 0.272362 + 0.699556i
\(581\) 23.3081 + 34.0869i 0.966981 + 1.41416i
\(582\) −0.378996 + 2.63598i −0.0157099 + 0.109265i
\(583\) −1.53428 6.06697i −0.0635432 0.251268i
\(584\) 9.35043 + 65.0337i 0.386924 + 2.69111i
\(585\) 5.50229 5.04996i 0.227492 0.208790i
\(586\) 13.5620 + 0.775506i 0.560243 + 0.0320358i
\(587\) 7.02414 + 34.6655i 0.289917 + 1.43080i 0.814859 + 0.579659i \(0.196814\pi\)
−0.524942 + 0.851138i \(0.675913\pi\)
\(588\) 18.8564 15.4188i 0.777624 0.635860i
\(589\) −4.76985 2.34518i −0.196538 0.0966314i
\(590\) 14.9240 5.32487i 0.614411 0.219221i
\(591\) 1.72219 + 2.23338i 0.0708414 + 0.0918688i
\(592\) 25.0300 41.5076i 1.02873 1.70595i
\(593\) 16.2350 + 18.7362i 0.666691 + 0.769402i 0.983855 0.178969i \(-0.0572761\pi\)
−0.317164 + 0.948371i \(0.602731\pi\)
\(594\) −10.0218 7.42533i −0.411201 0.304665i
\(595\) −7.79495 + 8.99586i −0.319562 + 0.368794i
\(596\) 0.146613 + 0.451229i 0.00600551 + 0.0184831i
\(597\) 4.11818 + 1.46936i 0.168546 + 0.0601370i
\(598\) −19.2641 19.8223i −0.787769 0.810595i
\(599\) 11.9577 + 10.9747i 0.488579 + 0.448414i 0.882211 0.470854i \(-0.156054\pi\)
−0.393632 + 0.919268i \(0.628782\pi\)
\(600\) 1.03796 1.51797i 0.0423745 0.0619707i
\(601\) 39.5189 + 9.18972i 1.61201 + 0.374856i 0.933171 0.359433i \(-0.117030\pi\)
0.678837 + 0.734289i \(0.262484\pi\)
\(602\) 1.54194 + 1.12029i 0.0628449 + 0.0456595i
\(603\) −29.9647 3.43813i −1.22026 0.140012i
\(604\) 69.8607 2.84259
\(605\) 9.36329 5.77311i 0.380672 0.234710i
\(606\) 0.259603 0.0105456
\(607\) −13.8373 1.58768i −0.561637 0.0644418i −0.171476 0.985188i \(-0.554853\pi\)
−0.390161 + 0.920747i \(0.627581\pi\)
\(608\) −12.7615 9.27178i −0.517547 0.376020i
\(609\) −4.54348 1.05654i −0.184111 0.0428132i
\(610\) 20.1635 29.4882i 0.816398 1.19394i
\(611\) 23.0758 + 21.1788i 0.933547 + 0.856802i
\(612\) −22.7824 23.4426i −0.920925 0.947610i
\(613\) −29.2499 10.4363i −1.18139 0.421519i −0.328952 0.944347i \(-0.606695\pi\)
−0.852439 + 0.522827i \(0.824877\pi\)
\(614\) −11.8995 36.6229i −0.480225 1.47798i
\(615\) 1.57372 1.81617i 0.0634585 0.0732350i
\(616\) −129.894 + 28.9290i −5.23356 + 1.16558i
\(617\) 9.16758 + 10.5800i 0.369073 + 0.425933i 0.909659 0.415356i \(-0.136343\pi\)
−0.540586 + 0.841289i \(0.681797\pi\)
\(618\) 2.01326 3.33861i 0.0809851 0.134299i
\(619\) 14.5188 + 18.8283i 0.583559 + 0.756773i 0.987432 0.158042i \(-0.0505182\pi\)
−0.403874 + 0.914815i \(0.632336\pi\)
\(620\) 18.1724 6.48389i 0.729820 0.260399i
\(621\) −5.32144 2.61637i −0.213542 0.104991i
\(622\) −10.5026 + 8.58791i −0.421115 + 0.344344i
\(623\) 10.6262 + 52.4424i 0.425730 + 2.10106i
\(624\) −6.25848 0.357873i −0.250540 0.0143264i
\(625\) −0.736741 + 0.676175i −0.0294696 + 0.0270470i
\(626\) 7.15784 + 49.7839i 0.286085 + 1.98976i
\(627\) −0.842004 + 0.675476i −0.0336264 + 0.0269759i
\(628\) 10.6823 74.2972i 0.426271 2.96478i
\(629\) −6.04404 8.83912i −0.240991 0.352439i
\(630\) −14.7401 37.8596i −0.587259 1.50836i
\(631\) −23.3896 + 30.3322i −0.931126 + 1.20751i 0.0468738 + 0.998901i \(0.485074\pi\)
−0.978000 + 0.208605i \(0.933108\pi\)
\(632\) 9.25313 28.4782i 0.368070 1.13280i
\(633\) −1.95971 3.24982i −0.0778917 0.129169i
\(634\) 9.04307 23.2269i 0.359146 0.922459i
\(635\) 1.69443 0.394023i 0.0672415 0.0156363i
\(636\) −2.05343 0.867785i −0.0814236 0.0344099i
\(637\) 44.0279 + 28.2950i 1.74445 + 1.12109i
\(638\) 24.6755 + 20.5647i 0.976911 + 0.814163i
\(639\) −31.8059 + 20.4404i −1.25822 + 0.808611i
\(640\) 3.32509 0.575430i 0.131436 0.0227459i
\(641\) −2.25746 26.2831i −0.0891643 1.03812i −0.895025 0.446016i \(-0.852843\pi\)
0.805861 0.592105i \(-0.201703\pi\)
\(642\) −0.969124 + 11.2833i −0.0382483 + 0.445316i
\(643\) −25.3488 4.38679i −0.999660 0.172998i −0.352875 0.935670i \(-0.614796\pi\)
−0.646785 + 0.762672i \(0.723887\pi\)
\(644\) −98.3913 + 41.5805i −3.87716 + 1.63850i
\(645\) −0.0268922 + 0.0195384i −0.00105888 + 0.000769322i
\(646\) −7.00392 + 3.95529i −0.275565 + 0.155619i
\(647\) −0.492147 17.2274i −0.0193483 0.677278i −0.950157 0.311772i \(-0.899078\pi\)
0.930809 0.365507i \(-0.119104\pi\)
\(648\) 62.1332 18.2440i 2.44082 0.716691i
\(649\) 13.2371 14.9911i 0.519601 0.588452i
\(650\) 6.40069 + 1.87941i 0.251056 + 0.0737166i
\(651\) −1.26555 + 4.81466i −0.0496009 + 0.188701i
\(652\) −8.00723 + 39.5172i −0.313587 + 1.54761i
\(653\) 16.3530 + 30.9925i 0.639944 + 1.21283i 0.963776 + 0.266714i \(0.0859378\pi\)
−0.323832 + 0.946115i \(0.604971\pi\)
\(654\) −0.00160956 + 0.0563421i −6.29389e−5 + 0.00220315i
\(655\) −2.56747 9.76768i −0.100319 0.381655i
\(656\) 102.136 5.84035i 3.98774 0.228027i
\(657\) −17.6440 + 18.1553i −0.688359 + 0.708304i
\(658\) 152.905 75.1784i 5.96086 2.93076i
\(659\) 12.6669 27.7367i 0.493433 1.08047i −0.485115 0.874450i \(-0.661222\pi\)
0.978548 0.206017i \(-0.0660504\pi\)
\(660\) 0.371786 3.90083i 0.0144717 0.151840i
\(661\) 4.46160 + 9.76955i 0.173536 + 0.379992i 0.976337 0.216257i \(-0.0693848\pi\)
−0.802800 + 0.596248i \(0.796657\pi\)
\(662\) 61.4965 + 50.2854i 2.39013 + 1.95440i
\(663\) −0.646272 + 1.22482i −0.0250991 + 0.0475681i
\(664\) −52.2412 29.5020i −2.02735 1.14490i
\(665\) −7.05529 + 0.809519i −0.273592 + 0.0313918i
\(666\) 36.3099 4.16618i 1.40698 0.161436i
\(667\) 13.2973 + 7.50932i 0.514873 + 0.290762i
\(668\) 10.3141 19.5473i 0.399063 0.756309i
\(669\) −1.00764 0.823941i −0.0389575 0.0318554i
\(670\) −11.1915 24.5060i −0.432366 0.946750i
\(671\) 4.27777 44.8830i 0.165141 1.73269i
\(672\) −6.13733 + 13.4389i −0.236753 + 0.518416i
\(673\) 12.9089 6.34689i 0.497603 0.244655i −0.175123 0.984546i \(-0.556032\pi\)
0.672726 + 0.739892i \(0.265123\pi\)
\(674\) −11.5324 + 11.8665i −0.444210 + 0.457082i
\(675\) 1.42877 0.0817003i 0.0549935 0.00314464i
\(676\) 8.17545 + 31.1026i 0.314440 + 1.19626i
\(677\) 1.10267 38.5987i 0.0423792 1.48347i −0.648897 0.760876i \(-0.724769\pi\)
0.691276 0.722591i \(-0.257049\pi\)
\(678\) −0.733061 1.38930i −0.0281530 0.0533559i
\(679\) −4.39126 + 21.6717i −0.168521 + 0.831683i
\(680\) 4.39650 16.7260i 0.168598 0.641414i
\(681\) 4.97314 + 1.46025i 0.190571 + 0.0559568i
\(682\) 22.6898 25.6963i 0.868837 0.983964i
\(683\) 24.5408 7.20583i 0.939027 0.275723i 0.223816 0.974631i \(-0.428149\pi\)
0.715212 + 0.698908i \(0.246330\pi\)
\(684\) −0.556922 19.4948i −0.0212945 0.745403i
\(685\) 15.7587 8.89932i 0.602107 0.340026i
\(686\) 152.126 110.526i 5.80819 4.21990i
\(687\) −0.547680 + 0.231451i −0.0208953 + 0.00883042i
\(688\) −1.39435 0.241302i −0.0531591 0.00919954i
\(689\) 0.409893 4.77230i 0.0156157 0.181810i
\(690\) −0.224417 2.61284i −0.00854342 0.0994692i
\(691\) −8.54366 + 1.47854i −0.325016 + 0.0562462i −0.330695 0.943738i \(-0.607283\pi\)
0.00567908 + 0.999984i \(0.498192\pi\)
\(692\) −12.6464 + 8.12733i −0.480743 + 0.308955i
\(693\) −39.3906 32.8284i −1.49633 1.24705i
\(694\) 6.82495 + 4.38613i 0.259072 + 0.166495i
\(695\) −17.8570 7.54641i −0.677353 0.286252i
\(696\) 6.60122 1.53505i 0.250219 0.0581859i
\(697\) 8.19964 21.0606i 0.310584 0.797728i
\(698\) 25.7634 + 42.7238i 0.975159 + 1.61712i
\(699\) 1.10022 3.38612i 0.0416141 0.128075i
\(700\) 15.7420 20.4145i 0.594990 0.771597i
\(701\) 8.13434 + 20.8929i 0.307230 + 0.789113i 0.997828 + 0.0658745i \(0.0209837\pi\)
−0.690598 + 0.723239i \(0.742653\pi\)
\(702\) −5.38862 7.88060i −0.203380 0.297434i
\(703\) 0.909174 6.32345i 0.0342902 0.238493i
\(704\) 26.3052 21.1027i 0.991416 0.795338i
\(705\) 0.422908 + 2.94139i 0.0159276 + 0.110779i
\(706\) −0.817257 + 0.750071i −0.0307579 + 0.0282293i
\(707\) 2.15202 + 0.123057i 0.0809351 + 0.00462804i
\(708\) −1.41479 6.98225i −0.0531709 0.262409i
\(709\) −20.5318 + 16.7887i −0.771086 + 0.630514i −0.934467 0.356049i \(-0.884124\pi\)
0.163381 + 0.986563i \(0.447760\pi\)
\(710\) −30.3056 14.9002i −1.13735 0.559196i
\(711\) 10.8669 3.87732i 0.407542 0.145411i
\(712\) −47.4730 61.5641i −1.77913 2.30721i
\(713\) 8.41596 13.9563i 0.315180 0.522668i
\(714\) 4.93346 + 5.69352i 0.184630 + 0.213075i
\(715\) 8.21809 1.83028i 0.307339 0.0684486i
\(716\) −49.1629 + 56.7370i −1.83730 + 2.12036i
\(717\) 1.94438 + 5.98419i 0.0726143 + 0.223484i
\(718\) −55.7017 19.8743i −2.07877 0.741703i
\(719\) 21.1388 + 21.7514i 0.788346 + 0.811189i 0.985588 0.169166i \(-0.0541075\pi\)
−0.197242 + 0.980355i \(0.563198\pi\)
\(720\) 22.2232 + 20.3963i 0.828210 + 0.760124i
\(721\) 18.2718 26.7216i 0.680477 0.995166i
\(722\) 43.9571 + 10.2218i 1.63591 + 0.380416i
\(723\) 0.940903 + 0.683606i 0.0349925 + 0.0254236i
\(724\) 57.5640 + 6.60485i 2.13935 + 0.245467i
\(725\) −3.68553 −0.136877
\(726\) −2.77327 6.38574i −0.102926 0.236997i
\(727\) −17.4751 −0.648115 −0.324058 0.946037i \(-0.605047\pi\)
−0.324058 + 0.946037i \(0.605047\pi\)
\(728\) −101.193 11.6108i −3.75046 0.430325i
\(729\) 19.3500 + 14.0586i 0.716666 + 0.520688i
\(730\) −22.0254 5.12179i −0.815197 0.189566i
\(731\) −0.176453 + 0.258055i −0.00652636 + 0.00954450i
\(732\) −11.8328 10.8601i −0.437353 0.401399i
\(733\) −14.0364 14.4431i −0.518447 0.533469i 0.406457 0.913670i \(-0.366764\pi\)
−0.924904 + 0.380201i \(0.875855\pi\)
\(734\) 32.2106 + 11.4927i 1.18891 + 0.424204i
\(735\) 1.53439 + 4.72238i 0.0565969 + 0.174187i
\(736\) 31.6733 36.5529i 1.16749 1.34736i
\(737\) −27.3203 20.2420i −1.00636 0.745625i
\(738\) 50.5157 + 58.2982i 1.85951 + 2.14599i
\(739\) −14.8061 + 24.5531i −0.544650 + 0.903201i 0.455267 + 0.890355i \(0.349544\pi\)
−0.999917 + 0.0128463i \(0.995911\pi\)
\(740\) 14.1612 + 18.3646i 0.520577 + 0.675096i
\(741\) −0.778175 + 0.277652i −0.0285870 + 0.0101998i
\(742\) −23.3832 11.4967i −0.858424 0.422059i
\(743\) −8.77259 + 7.17331i −0.321835 + 0.263163i −0.780103 0.625651i \(-0.784834\pi\)
0.458268 + 0.888814i \(0.348470\pi\)
\(744\) −1.43637 7.08878i −0.0526600 0.259887i
\(745\) −0.0965601 0.00552151i −0.00353769 0.000202292i
\(746\) 49.4694 45.4026i 1.81120 1.66231i
\(747\) −3.28998 22.8823i −0.120374 0.837221i
\(748\) −9.03507 35.7273i −0.330355 1.30632i
\(749\) −13.3822 + 93.0754i −0.488976 + 3.40090i
\(750\) 0.357239 + 0.522445i 0.0130445 + 0.0190770i
\(751\) 16.8233 + 43.2104i 0.613892 + 1.57677i 0.803757 + 0.594958i \(0.202831\pi\)
−0.189865 + 0.981810i \(0.560805\pi\)
\(752\) −77.2496 + 100.179i −2.81700 + 3.65315i
\(753\) −0.115760 + 0.356273i −0.00421853 + 0.0129833i
\(754\) 12.6961 + 21.0541i 0.462363 + 0.766744i
\(755\) −5.16685 + 13.2709i −0.188041 + 0.482979i
\(756\) −35.9339 + 8.35607i −1.30690 + 0.303907i
\(757\) −25.9128 10.9508i −0.941817 0.398015i −0.136353 0.990660i \(-0.543538\pi\)
−0.805464 + 0.592645i \(0.798084\pi\)
\(758\) 42.2514 + 27.1533i 1.53464 + 0.986254i
\(759\) −1.84261 2.74952i −0.0668826 0.0998012i
\(760\) 8.67996 5.57827i 0.314855 0.202345i
\(761\) −12.4044 + 2.14667i −0.449660 + 0.0778168i −0.390854 0.920453i \(-0.627820\pi\)
−0.0588062 + 0.998269i \(0.518729\pi\)
\(762\) −0.0942204 1.09699i −0.00341325 0.0397397i
\(763\) −0.0400500 + 0.466294i −0.00144991 + 0.0168810i
\(764\) 107.269 + 18.5636i 3.88085 + 0.671607i
\(765\) 6.13819 2.59402i 0.221927 0.0937870i
\(766\) −54.6329 + 39.6932i −1.97397 + 1.43417i
\(767\) 13.3287 7.52704i 0.481270 0.271786i
\(768\) 0.0788760 + 2.76102i 0.00284619 + 0.0996298i
\(769\) −6.60863 + 1.94047i −0.238313 + 0.0699751i −0.398708 0.917078i \(-0.630541\pi\)
0.160395 + 0.987053i \(0.448723\pi\)
\(770\) 6.94146 45.2723i 0.250153 1.63150i
\(771\) 4.74633 + 1.39365i 0.170935 + 0.0501911i
\(772\) −6.77575 + 25.7776i −0.243865 + 0.927757i
\(773\) 6.19849