Properties

Label 41.2.g.a.5.1
Level 41
Weight 2
Character 41.5
Analytic conductor 0.327
Analytic rank 0
Dimension 24
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 41 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 41.g (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.327386648287\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(3\) over \(\Q(\zeta_{20})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 5.1
Character \(\chi\) = 41.5
Dual form 41.2.g.a.33.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.00762 - 1.38687i) q^{2} +(2.22848 + 2.22848i) q^{3} +(-0.290083 + 0.892782i) q^{4} +(-2.57687 - 0.837277i) q^{5} +(0.845152 - 5.33608i) q^{6} +(-0.252316 - 1.59306i) q^{7} +(-1.73027 + 0.562198i) q^{8} +6.93221i q^{9} +O(q^{10})\) \(q+(-1.00762 - 1.38687i) q^{2} +(2.22848 + 2.22848i) q^{3} +(-0.290083 + 0.892782i) q^{4} +(-2.57687 - 0.837277i) q^{5} +(0.845152 - 5.33608i) q^{6} +(-0.252316 - 1.59306i) q^{7} +(-1.73027 + 0.562198i) q^{8} +6.93221i q^{9} +(1.43532 + 4.41746i) q^{10} +(0.314590 - 0.617417i) q^{11} +(-2.63599 + 1.34310i) q^{12} +(-1.50733 - 0.238738i) q^{13} +(-1.95513 + 1.95513i) q^{14} +(-3.87665 - 7.60835i) q^{15} +(4.04205 + 2.93672i) q^{16} +(0.942631 + 0.480295i) q^{17} +(9.61410 - 6.98505i) q^{18} +(-0.126968 + 0.0201098i) q^{19} +(1.49501 - 2.05771i) q^{20} +(2.98781 - 4.11237i) q^{21} +(-1.17327 + 0.185828i) q^{22} +(1.52374 - 1.10707i) q^{23} +(-5.10870 - 2.60301i) q^{24} +(1.89416 + 1.37619i) q^{25} +(1.18772 + 2.33104i) q^{26} +(-8.76282 + 8.76282i) q^{27} +(1.49545 + 0.236856i) q^{28} +(7.39222 - 3.76652i) q^{29} +(-6.64563 + 13.0428i) q^{30} +(0.373094 + 1.14827i) q^{31} -4.92630i q^{32} +(2.07696 - 0.674844i) q^{33} +(-0.283709 - 1.79127i) q^{34} +(-0.683646 + 4.31637i) q^{35} +(-6.18895 - 2.01091i) q^{36} +(-1.86889 + 5.75186i) q^{37} +(0.155826 + 0.155826i) q^{38} +(-2.82703 - 3.89107i) q^{39} +4.92939 q^{40} +(5.96866 - 2.31844i) q^{41} -8.71394 q^{42} +(-6.21829 - 8.55874i) q^{43} +(0.459962 + 0.459962i) q^{44} +(5.80417 - 17.8634i) q^{45} +(-3.07072 - 0.997738i) q^{46} +(-0.991818 + 6.26210i) q^{47} +(2.46320 + 15.5520i) q^{48} +(4.18322 - 1.35921i) q^{49} -4.01364i q^{50} +(1.03031 + 3.17095i) q^{51} +(0.650391 - 1.27646i) q^{52} +(-11.1289 + 5.67046i) q^{53} +(20.9826 + 3.32331i) q^{54} +(-1.32761 + 1.32761i) q^{55} +(1.33219 + 2.61457i) q^{56} +(-0.327760 - 0.238131i) q^{57} +(-12.6723 - 6.45684i) q^{58} +(-6.61738 + 4.80781i) q^{59} +(7.91715 - 1.25395i) q^{60} +(-1.54768 + 2.13021i) q^{61} +(1.21656 - 1.67445i) q^{62} +(11.0434 - 1.74911i) q^{63} +(1.25193 - 0.909582i) q^{64} +(3.68431 + 1.87725i) q^{65} +(-3.02871 - 2.20049i) q^{66} +(-3.85439 - 7.56467i) q^{67} +(-0.702239 + 0.702239i) q^{68} +(5.86269 + 0.928560i) q^{69} +(6.67512 - 3.40115i) q^{70} +(1.94789 - 3.82296i) q^{71} +(-3.89727 - 11.9946i) q^{72} +12.1957i q^{73} +(9.86025 - 3.20379i) q^{74} +(1.15429 + 7.28788i) q^{75} +(0.0188776 - 0.119188i) q^{76} +(-1.06296 - 0.345376i) q^{77} +(-2.54785 + 7.84147i) q^{78} +(-8.14191 - 8.14191i) q^{79} +(-7.95700 - 10.9519i) q^{80} -18.2589 q^{81} +(-9.22954 - 5.94167i) q^{82} +6.49090 q^{83} +(2.80474 + 3.86040i) q^{84} +(-2.02690 - 2.02690i) q^{85} +(-5.60421 + 17.2480i) q^{86} +(24.8670 + 8.07977i) q^{87} +(-0.197214 + 1.24516i) q^{88} +(0.451128 + 2.84831i) q^{89} +(-30.6227 + 9.94993i) q^{90} +2.46150i q^{91} +(0.546357 + 1.68151i) q^{92} +(-1.72745 + 3.39031i) q^{93} +(9.68412 - 4.93431i) q^{94} +(0.344018 + 0.0544871i) q^{95} +(10.9781 - 10.9781i) q^{96} +(0.548878 + 1.07723i) q^{97} +(-6.10017 - 4.43203i) q^{98} +(4.28006 + 2.18080i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q - 10q^{2} - 6q^{3} - 10q^{5} - 2q^{6} - 8q^{7} - 10q^{8} + O(q^{10}) \) \( 24q - 10q^{2} - 6q^{3} - 10q^{5} - 2q^{6} - 8q^{7} - 10q^{8} + 6q^{10} - 16q^{11} + 2q^{12} + 14q^{14} + 8q^{15} - 20q^{16} + 8q^{17} + 16q^{19} + 20q^{20} - 10q^{21} + 6q^{22} + 12q^{23} + 68q^{24} - 8q^{25} - 28q^{26} - 6q^{27} + 18q^{28} + 40q^{29} - 36q^{30} - 12q^{31} + 10q^{33} - 16q^{34} - 36q^{35} - 40q^{36} + 46q^{38} - 50q^{39} - 44q^{40} - 4q^{41} - 40q^{42} - 48q^{44} + 16q^{45} + 70q^{46} - 12q^{47} - 50q^{48} - 30q^{49} - 24q^{51} + 20q^{52} - 26q^{53} + 68q^{54} + 20q^{55} + 106q^{56} + 10q^{57} - 20q^{58} + 6q^{59} + 76q^{60} + 30q^{61} - 10q^{62} + 92q^{63} + 70q^{64} + 68q^{65} + 34q^{66} - 22q^{67} - 20q^{68} - 38q^{69} - 20q^{70} + 4q^{71} - 74q^{72} + 10q^{74} + 4q^{75} - 128q^{76} - 20q^{77} - 10q^{78} - 2q^{79} - 70q^{80} + 28q^{81} - 90q^{82} + 80q^{83} - 30q^{84} - 56q^{85} - 46q^{86} - 10q^{87} + 10q^{88} - 72q^{89} - 70q^{90} - 6q^{93} - 18q^{94} - 40q^{95} + 66q^{96} - 22q^{97} + 6q^{98} + 14q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/41\mathbb{Z}\right)^\times\).

\(n\) \(6\)
\(\chi(n)\) \(e\left(\frac{11}{20}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.00762 1.38687i −0.712497 0.980669i −0.999740 0.0228107i \(-0.992739\pi\)
0.287242 0.957858i \(-0.407261\pi\)
\(3\) 2.22848 + 2.22848i 1.28661 + 1.28661i 0.936832 + 0.349778i \(0.113743\pi\)
0.349778 + 0.936832i \(0.386257\pi\)
\(4\) −0.290083 + 0.892782i −0.145041 + 0.446391i
\(5\) −2.57687 0.837277i −1.15241 0.374442i −0.330361 0.943855i \(-0.607171\pi\)
−0.822052 + 0.569413i \(0.807171\pi\)
\(6\) 0.845152 5.33608i 0.345032 2.17845i
\(7\) −0.252316 1.59306i −0.0953664 0.602120i −0.988370 0.152070i \(-0.951406\pi\)
0.893003 0.450050i \(-0.148594\pi\)
\(8\) −1.73027 + 0.562198i −0.611742 + 0.198767i
\(9\) 6.93221i 2.31074i
\(10\) 1.43532 + 4.41746i 0.453888 + 1.39692i
\(11\) 0.314590 0.617417i 0.0948524 0.186158i −0.838705 0.544586i \(-0.816687\pi\)
0.933558 + 0.358427i \(0.116687\pi\)
\(12\) −2.63599 + 1.34310i −0.760944 + 0.387720i
\(13\) −1.50733 0.238738i −0.418058 0.0662139i −0.0561381 0.998423i \(-0.517879\pi\)
−0.361920 + 0.932209i \(0.617879\pi\)
\(14\) −1.95513 + 1.95513i −0.522532 + 0.522532i
\(15\) −3.87665 7.60835i −1.00095 1.96447i
\(16\) 4.04205 + 2.93672i 1.01051 + 0.734180i
\(17\) 0.942631 + 0.480295i 0.228622 + 0.116489i 0.564550 0.825399i \(-0.309050\pi\)
−0.335928 + 0.941888i \(0.609050\pi\)
\(18\) 9.61410 6.98505i 2.26607 1.64639i
\(19\) −0.126968 + 0.0201098i −0.0291285 + 0.00461350i −0.170982 0.985274i \(-0.554694\pi\)
0.141853 + 0.989888i \(0.454694\pi\)
\(20\) 1.49501 2.05771i 0.334295 0.460117i
\(21\) 2.98781 4.11237i 0.651995 0.897394i
\(22\) −1.17327 + 0.185828i −0.250142 + 0.0396186i
\(23\) 1.52374 1.10707i 0.317723 0.230839i −0.417480 0.908686i \(-0.637087\pi\)
0.735203 + 0.677847i \(0.237087\pi\)
\(24\) −5.10870 2.60301i −1.04281 0.531338i
\(25\) 1.89416 + 1.37619i 0.378831 + 0.275237i
\(26\) 1.18772 + 2.33104i 0.232932 + 0.457154i
\(27\) −8.76282 + 8.76282i −1.68641 + 1.68641i
\(28\) 1.49545 + 0.236856i 0.282613 + 0.0447615i
\(29\) 7.39222 3.76652i 1.37270 0.699426i 0.396853 0.917882i \(-0.370102\pi\)
0.975847 + 0.218456i \(0.0701022\pi\)
\(30\) −6.64563 + 13.0428i −1.21332 + 2.38127i
\(31\) 0.373094 + 1.14827i 0.0670097 + 0.206235i 0.978955 0.204078i \(-0.0654196\pi\)
−0.911945 + 0.410313i \(0.865420\pi\)
\(32\) 4.92630i 0.870855i
\(33\) 2.07696 0.674844i 0.361551 0.117475i
\(34\) −0.283709 1.79127i −0.0486557 0.307200i
\(35\) −0.683646 + 4.31637i −0.115557 + 0.729600i
\(36\) −6.18895 2.01091i −1.03149 0.335152i
\(37\) −1.86889 + 5.75186i −0.307244 + 0.945600i 0.671586 + 0.740926i \(0.265613\pi\)
−0.978830 + 0.204673i \(0.934387\pi\)
\(38\) 0.155826 + 0.155826i 0.0252783 + 0.0252783i
\(39\) −2.82703 3.89107i −0.452687 0.623070i
\(40\) 4.92939 0.779405
\(41\) 5.96866 2.31844i 0.932147 0.362079i
\(42\) −8.71394 −1.34459
\(43\) −6.21829 8.55874i −0.948280 1.30520i −0.952287 0.305204i \(-0.901276\pi\)
0.00400713 0.999992i \(-0.498724\pi\)
\(44\) 0.459962 + 0.459962i 0.0693419 + 0.0693419i
\(45\) 5.80417 17.8634i 0.865235 2.66292i
\(46\) −3.07072 0.997738i −0.452753 0.147108i
\(47\) −0.991818 + 6.26210i −0.144672 + 0.913421i 0.803418 + 0.595416i \(0.203013\pi\)
−0.948089 + 0.318005i \(0.896987\pi\)
\(48\) 2.46320 + 15.5520i 0.355532 + 2.24474i
\(49\) 4.18322 1.35921i 0.597603 0.194173i
\(50\) 4.01364i 0.567614i
\(51\) 1.03031 + 3.17095i 0.144272 + 0.444022i
\(52\) 0.650391 1.27646i 0.0901930 0.177014i
\(53\) −11.1289 + 5.67046i −1.52867 + 0.778898i −0.997654 0.0684612i \(-0.978191\pi\)
−0.531020 + 0.847359i \(0.678191\pi\)
\(54\) 20.9826 + 3.32331i 2.85537 + 0.452246i
\(55\) −1.32761 + 1.32761i −0.179015 + 0.179015i
\(56\) 1.33219 + 2.61457i 0.178021 + 0.349386i
\(57\) −0.327760 0.238131i −0.0434128 0.0315413i
\(58\) −12.6723 6.45684i −1.66395 0.847825i
\(59\) −6.61738 + 4.80781i −0.861509 + 0.625923i −0.928295 0.371844i \(-0.878726\pi\)
0.0667860 + 0.997767i \(0.478726\pi\)
\(60\) 7.91715 1.25395i 1.02210 0.161885i
\(61\) −1.54768 + 2.13021i −0.198161 + 0.272745i −0.896521 0.443002i \(-0.853913\pi\)
0.698360 + 0.715747i \(0.253913\pi\)
\(62\) 1.21656 1.67445i 0.154504 0.212656i
\(63\) 11.0434 1.74911i 1.39134 0.220367i
\(64\) 1.25193 0.909582i 0.156491 0.113698i
\(65\) 3.68431 + 1.87725i 0.456982 + 0.232844i
\(66\) −3.02871 2.20049i −0.372809 0.270861i
\(67\) −3.85439 7.56467i −0.470889 0.924172i −0.997264 0.0739193i \(-0.976449\pi\)
0.526375 0.850252i \(-0.323551\pi\)
\(68\) −0.702239 + 0.702239i −0.0851590 + 0.0851590i
\(69\) 5.86269 + 0.928560i 0.705786 + 0.111785i
\(70\) 6.67512 3.40115i 0.797830 0.406515i
\(71\) 1.94789 3.82296i 0.231172 0.453701i −0.746058 0.665881i \(-0.768056\pi\)
0.977231 + 0.212179i \(0.0680560\pi\)
\(72\) −3.89727 11.9946i −0.459298 1.41357i
\(73\) 12.1957i 1.42739i 0.700455 + 0.713697i \(0.252981\pi\)
−0.700455 + 0.713697i \(0.747019\pi\)
\(74\) 9.86025 3.20379i 1.14623 0.372433i
\(75\) 1.15429 + 7.28788i 0.133286 + 0.841532i
\(76\) 0.0188776 0.119188i 0.00216541 0.0136718i
\(77\) −1.06296 0.345376i −0.121135 0.0393593i
\(78\) −2.54785 + 7.84147i −0.288487 + 0.887871i
\(79\) −8.14191 8.14191i −0.916037 0.916037i 0.0807015 0.996738i \(-0.474284\pi\)
−0.996738 + 0.0807015i \(0.974284\pi\)
\(80\) −7.95700 10.9519i −0.889619 1.22446i
\(81\) −18.2589 −2.02876
\(82\) −9.22954 5.94167i −1.01923 0.656147i
\(83\) 6.49090 0.712469 0.356235 0.934397i \(-0.384060\pi\)
0.356235 + 0.934397i \(0.384060\pi\)
\(84\) 2.80474 + 3.86040i 0.306022 + 0.421204i
\(85\) −2.02690 2.02690i −0.219848 0.219848i
\(86\) −5.60421 + 17.2480i −0.604317 + 1.85990i
\(87\) 24.8670 + 8.07977i 2.66602 + 0.866242i
\(88\) −0.197214 + 1.24516i −0.0210231 + 0.132734i
\(89\) 0.451128 + 2.84831i 0.0478195 + 0.301920i 0.999993 0.00363635i \(-0.00115749\pi\)
−0.952174 + 0.305557i \(0.901157\pi\)
\(90\) −30.6227 + 9.94993i −3.22792 + 1.04881i
\(91\) 2.46150i 0.258036i
\(92\) 0.546357 + 1.68151i 0.0569616 + 0.175310i
\(93\) −1.72745 + 3.39031i −0.179128 + 0.351559i
\(94\) 9.68412 4.93431i 0.998841 0.508935i
\(95\) 0.344018 + 0.0544871i 0.0352955 + 0.00559026i
\(96\) 10.9781 10.9781i 1.12045 1.12045i
\(97\) 0.548878 + 1.07723i 0.0557301 + 0.109377i 0.917192 0.398446i \(-0.130450\pi\)
−0.861462 + 0.507823i \(0.830450\pi\)
\(98\) −6.10017 4.43203i −0.616210 0.447703i
\(99\) 4.28006 + 2.18080i 0.430163 + 0.219179i
\(100\) −1.77810 + 1.29186i −0.177810 + 0.129186i
\(101\) −5.23645 + 0.829373i −0.521047 + 0.0825257i −0.411418 0.911447i \(-0.634966\pi\)
−0.109629 + 0.993973i \(0.534966\pi\)
\(102\) 3.35956 4.62403i 0.332646 0.457848i
\(103\) 8.15642 11.2264i 0.803676 1.10617i −0.188592 0.982055i \(-0.560392\pi\)
0.992268 0.124110i \(-0.0396075\pi\)
\(104\) 2.74230 0.434338i 0.268905 0.0425903i
\(105\) −11.1424 + 8.09544i −1.08739 + 0.790034i
\(106\) 19.0780 + 9.72072i 1.85302 + 0.944159i
\(107\) −7.71269 5.60360i −0.745614 0.541720i 0.148850 0.988860i \(-0.452443\pi\)
−0.894464 + 0.447139i \(0.852443\pi\)
\(108\) −5.28135 10.3652i −0.508198 0.997395i
\(109\) −1.66630 + 1.66630i −0.159603 + 0.159603i −0.782391 0.622788i \(-0.786000\pi\)
0.622788 + 0.782391i \(0.286000\pi\)
\(110\) 3.17895 + 0.503497i 0.303101 + 0.0480065i
\(111\) −16.9827 + 8.65309i −1.61192 + 0.821315i
\(112\) 3.65850 7.18020i 0.345695 0.678465i
\(113\) −2.37239 7.30147i −0.223176 0.686865i −0.998472 0.0552663i \(-0.982399\pi\)
0.775296 0.631598i \(-0.217601\pi\)
\(114\) 0.694508i 0.0650466i
\(115\) −4.85342 + 1.57697i −0.452583 + 0.147053i
\(116\) 1.21833 + 7.69224i 0.113119 + 0.714207i
\(117\) 1.65498 10.4491i 0.153003 0.966022i
\(118\) 13.3356 + 4.33302i 1.22765 + 0.398886i
\(119\) 0.527297 1.62285i 0.0483372 0.148767i
\(120\) 10.9850 + 10.9850i 1.00279 + 1.00279i
\(121\) 6.18340 + 8.51072i 0.562127 + 0.773702i
\(122\) 4.51381 0.408661
\(123\) 18.4676 + 8.13442i 1.66517 + 0.733456i
\(124\) −1.13338 −0.101781
\(125\) 4.23422 + 5.82791i 0.378720 + 0.521264i
\(126\) −13.5534 13.5534i −1.20743 1.20743i
\(127\) −1.92578 + 5.92695i −0.170886 + 0.525932i −0.999422 0.0340038i \(-0.989174\pi\)
0.828536 + 0.559936i \(0.189174\pi\)
\(128\) −11.8933 3.86438i −1.05123 0.341566i
\(129\) 5.21564 32.9302i 0.459211 2.89935i
\(130\) −1.10889 7.00124i −0.0972558 0.614049i
\(131\) 0.689839 0.224142i 0.0602715 0.0195834i −0.278726 0.960371i \(-0.589912\pi\)
0.338998 + 0.940787i \(0.389912\pi\)
\(132\) 2.05003i 0.178432i
\(133\) 0.0640721 + 0.197194i 0.00555576 + 0.0170989i
\(134\) −6.60748 + 12.9679i −0.570799 + 1.12026i
\(135\) 29.9176 15.2438i 2.57490 1.31198i
\(136\) −1.90102 0.301093i −0.163011 0.0258185i
\(137\) 13.1949 13.1949i 1.12731 1.12731i 0.136700 0.990612i \(-0.456350\pi\)
0.990612 0.136700i \(-0.0436498\pi\)
\(138\) −4.61959 9.06646i −0.393246 0.771789i
\(139\) −5.13170 3.72840i −0.435265 0.316239i 0.348486 0.937314i \(-0.386696\pi\)
−0.783751 + 0.621075i \(0.786696\pi\)
\(140\) −3.65527 1.86245i −0.308926 0.157406i
\(141\) −16.1652 + 11.7447i −1.36135 + 0.989081i
\(142\) −7.26470 + 1.15062i −0.609640 + 0.0965576i
\(143\) −0.621592 + 0.855548i −0.0519801 + 0.0715445i
\(144\) −20.3579 + 28.0203i −1.69650 + 2.33503i
\(145\) −22.2024 + 3.51652i −1.84381 + 0.292031i
\(146\) 16.9139 12.2886i 1.39980 1.01701i
\(147\) 12.3512 + 6.29324i 1.01871 + 0.519057i
\(148\) −4.59302 3.33703i −0.377544 0.274302i
\(149\) 5.86949 + 11.5195i 0.480848 + 0.943717i 0.996230 + 0.0867562i \(0.0276501\pi\)
−0.515382 + 0.856961i \(0.672350\pi\)
\(150\) 8.94429 8.94429i 0.730298 0.730298i
\(151\) −1.37899 0.218411i −0.112221 0.0177740i 0.100071 0.994980i \(-0.468093\pi\)
−0.212292 + 0.977206i \(0.568093\pi\)
\(152\) 0.208383 0.106176i 0.0169021 0.00861205i
\(153\) −3.32950 + 6.53451i −0.269174 + 0.528284i
\(154\) 0.592069 + 1.82220i 0.0477102 + 0.146837i
\(155\) 3.27132i 0.262759i
\(156\) 4.29395 1.39519i 0.343791 0.111705i
\(157\) 2.74716 + 17.3449i 0.219247 + 1.38427i 0.814234 + 0.580537i \(0.197157\pi\)
−0.594987 + 0.803735i \(0.702843\pi\)
\(158\) −3.08783 + 19.4958i −0.245655 + 1.55100i
\(159\) −37.4370 12.1640i −2.96895 0.964669i
\(160\) −4.12468 + 12.6945i −0.326084 + 1.00358i
\(161\) −2.14809 2.14809i −0.169293 0.169293i
\(162\) 18.3981 + 25.3228i 1.44549 + 1.98954i
\(163\) 17.6081 1.37918 0.689588 0.724202i \(-0.257792\pi\)
0.689588 + 0.724202i \(0.257792\pi\)
\(164\) 0.338458 + 6.00125i 0.0264291 + 0.468619i
\(165\) −5.91708 −0.460644
\(166\) −6.54039 9.00207i −0.507632 0.698696i
\(167\) −1.96297 1.96297i −0.151899 0.151899i 0.627066 0.778966i \(-0.284255\pi\)
−0.778966 + 0.627066i \(0.784255\pi\)
\(168\) −2.85775 + 8.79525i −0.220480 + 0.678568i
\(169\) −10.1487 3.29751i −0.780668 0.253654i
\(170\) −0.768705 + 4.85341i −0.0589570 + 0.372240i
\(171\) −0.139405 0.880169i −0.0106606 0.0673082i
\(172\) 9.44491 3.06884i 0.720168 0.233997i
\(173\) 11.7096i 0.890265i −0.895465 0.445132i \(-0.853157\pi\)
0.895465 0.445132i \(-0.146843\pi\)
\(174\) −13.8509 42.6287i −1.05004 3.23168i
\(175\) 1.71442 3.36474i 0.129598 0.254350i
\(176\) 3.08477 1.57177i 0.232523 0.118476i
\(177\) −25.4607 4.03258i −1.91375 0.303108i
\(178\) 3.49568 3.49568i 0.262012 0.262012i
\(179\) 1.93111 + 3.79002i 0.144338 + 0.283279i 0.951846 0.306578i \(-0.0991841\pi\)
−0.807508 + 0.589857i \(0.799184\pi\)
\(180\) 14.2645 + 10.3637i 1.06321 + 0.772467i
\(181\) 4.13089 + 2.10479i 0.307047 + 0.156448i 0.600724 0.799457i \(-0.294879\pi\)
−0.293677 + 0.955905i \(0.594879\pi\)
\(182\) 3.41380 2.48027i 0.253048 0.183850i
\(183\) −8.19609 + 1.29813i −0.605872 + 0.0959607i
\(184\) −2.01409 + 2.77216i −0.148481 + 0.204367i
\(185\) 9.63179 13.2570i 0.708144 0.974676i
\(186\) 6.44256 1.02040i 0.472392 0.0748195i
\(187\) 0.593084 0.430901i 0.0433706 0.0315106i
\(188\) −5.30298 2.70200i −0.386760 0.197064i
\(189\) 16.1707 + 11.7487i 1.17625 + 0.854592i
\(190\) −0.271074 0.532013i −0.0196658 0.0385963i
\(191\) 15.8171 15.8171i 1.14449 1.14449i 0.156869 0.987619i \(-0.449860\pi\)
0.987619 0.156869i \(-0.0501399\pi\)
\(192\) 4.81688 + 0.762919i 0.347628 + 0.0550589i
\(193\) 12.9855 6.61647i 0.934720 0.476264i 0.0808362 0.996727i \(-0.474241\pi\)
0.853884 + 0.520464i \(0.174241\pi\)
\(194\) 0.940926 1.84667i 0.0675546 0.132583i
\(195\) 4.02699 + 12.3938i 0.288379 + 0.887538i
\(196\) 4.12899i 0.294928i
\(197\) 0.885009 0.287557i 0.0630543 0.0204876i −0.277320 0.960778i \(-0.589446\pi\)
0.340374 + 0.940290i \(0.389446\pi\)
\(198\) −1.28819 8.13334i −0.0915480 0.578011i
\(199\) 0.0644895 0.407171i 0.00457154 0.0288636i −0.985297 0.170850i \(-0.945349\pi\)
0.989869 + 0.141986i \(0.0453488\pi\)
\(200\) −4.05109 1.31628i −0.286455 0.0930749i
\(201\) 8.26826 25.4471i 0.583198 1.79490i
\(202\) 6.42661 + 6.42661i 0.452175 + 0.452175i
\(203\) −7.86547 10.8259i −0.552048 0.759828i
\(204\) −3.12985 −0.219133
\(205\) −17.3216 + 0.976904i −1.20980 + 0.0682299i
\(206\) −23.7881 −1.65740
\(207\) 7.67440 + 10.5629i 0.533408 + 0.734173i
\(208\) −5.39160 5.39160i −0.373840 0.373840i
\(209\) −0.0275268 + 0.0847187i −0.00190407 + 0.00586011i
\(210\) 22.4547 + 7.29598i 1.54952 + 0.503470i
\(211\) −3.50778 + 22.1473i −0.241486 + 1.52468i 0.507243 + 0.861803i \(0.330665\pi\)
−0.748728 + 0.662877i \(0.769335\pi\)
\(212\) −1.83419 11.5806i −0.125972 0.795359i
\(213\) 12.8602 4.17853i 0.881166 0.286308i
\(214\) 16.3429i 1.11717i
\(215\) 8.85770 + 27.2612i 0.604090 + 1.85920i
\(216\) 10.2356 20.0885i 0.696443 1.36685i
\(217\) 1.73512 0.884087i 0.117788 0.0600157i
\(218\) 3.98995 + 0.631946i 0.270234 + 0.0428008i
\(219\) −27.1777 + 27.1777i −1.83650 + 1.83650i
\(220\) −0.800149 1.57038i −0.0539460 0.105875i
\(221\) −1.30619 0.949004i −0.0878640 0.0638369i
\(222\) 29.1129 + 14.8338i 1.95393 + 0.995576i
\(223\) 3.29767 2.39590i 0.220829 0.160441i −0.471871 0.881668i \(-0.656421\pi\)
0.692700 + 0.721226i \(0.256421\pi\)
\(224\) −7.84789 + 1.24298i −0.524359 + 0.0830504i
\(225\) −9.54000 + 13.1307i −0.636000 + 0.875379i
\(226\) −7.73575 + 10.6473i −0.514574 + 0.708251i
\(227\) −21.3270 + 3.37787i −1.41552 + 0.224197i −0.816875 0.576815i \(-0.804295\pi\)
−0.598649 + 0.801012i \(0.704295\pi\)
\(228\) 0.307677 0.223540i 0.0203764 0.0148043i
\(229\) 8.82761 + 4.49789i 0.583345 + 0.297229i 0.720649 0.693300i \(-0.243844\pi\)
−0.137304 + 0.990529i \(0.543844\pi\)
\(230\) 7.07748 + 5.14209i 0.466675 + 0.339059i
\(231\) −1.59911 3.13844i −0.105214 0.206494i
\(232\) −10.6730 + 10.6730i −0.700715 + 0.700715i
\(233\) −1.27079 0.201273i −0.0832521 0.0131858i 0.114669 0.993404i \(-0.463419\pi\)
−0.197922 + 0.980218i \(0.563419\pi\)
\(234\) −16.1592 + 8.23354i −1.05636 + 0.538243i
\(235\) 7.79890 15.3062i 0.508744 0.998466i
\(236\) −2.37274 7.30254i −0.154452 0.475355i
\(237\) 36.2881i 2.35717i
\(238\) −2.78201 + 0.903930i −0.180331 + 0.0585931i
\(239\) −1.11016 7.00929i −0.0718104 0.453393i −0.997226 0.0744383i \(-0.976284\pi\)
0.925415 0.378955i \(-0.123716\pi\)
\(240\) 6.67399 42.1379i 0.430804 2.71999i
\(241\) 10.2597 + 3.33359i 0.660888 + 0.214735i 0.620209 0.784437i \(-0.287048\pi\)
0.0406791 + 0.999172i \(0.487048\pi\)
\(242\) 5.57276 17.1512i 0.358231 1.10252i
\(243\) −14.4009 14.4009i −0.923821 0.923821i
\(244\) −1.45285 1.99968i −0.0930094 0.128016i
\(245\) −11.9177 −0.761391
\(246\) −7.32695 33.8087i −0.467149 2.15556i
\(247\) 0.196184 0.0124829
\(248\) −1.29111 1.77705i −0.0819853 0.112843i
\(249\) 14.4648 + 14.4648i 0.916670 + 0.916670i
\(250\) 3.81608 11.7447i 0.241350 0.742798i
\(251\) 5.35009 + 1.73835i 0.337695 + 0.109724i 0.472955 0.881086i \(-0.343187\pi\)
−0.135261 + 0.990810i \(0.543187\pi\)
\(252\) −1.64193 + 10.3668i −0.103432 + 0.653044i
\(253\) −0.204167 1.28906i −0.0128359 0.0810424i
\(254\) 10.1604 3.30132i 0.637520 0.207143i
\(255\) 9.03380i 0.565718i
\(256\) 5.66820 + 17.4449i 0.354263 + 1.09031i
\(257\) −9.98071 + 19.5882i −0.622580 + 1.22188i 0.337281 + 0.941404i \(0.390493\pi\)
−0.959861 + 0.280477i \(0.909507\pi\)
\(258\) −50.9255 + 25.9479i −3.17048 + 1.61544i
\(259\) 9.63460 + 1.52597i 0.598665 + 0.0948192i
\(260\) −2.74473 + 2.74473i −0.170221 + 0.170221i
\(261\) 26.1103 + 51.2444i 1.61619 + 3.17195i
\(262\) −1.00596 0.730869i −0.0621481 0.0451533i
\(263\) 5.22227 + 2.66088i 0.322019 + 0.164077i 0.607526 0.794300i \(-0.292162\pi\)
−0.285507 + 0.958377i \(0.592162\pi\)
\(264\) −3.21429 + 2.33532i −0.197826 + 0.143729i
\(265\) 33.4255 5.29409i 2.05331 0.325213i
\(266\) 0.208922 0.287557i 0.0128099 0.0176313i
\(267\) −5.34206 + 7.35272i −0.326929 + 0.449979i
\(268\) 7.87170 1.24675i 0.480840 0.0761576i
\(269\) −11.1080 + 8.07042i −0.677265 + 0.492062i −0.872449 0.488705i \(-0.837470\pi\)
0.195184 + 0.980767i \(0.437470\pi\)
\(270\) −51.2869 26.1320i −3.12122 1.59034i
\(271\) 12.8738 + 9.35335i 0.782026 + 0.568175i 0.905586 0.424162i \(-0.139431\pi\)
−0.123560 + 0.992337i \(0.539431\pi\)
\(272\) 2.39967 + 4.70962i 0.145501 + 0.285562i
\(273\) −5.48540 + 5.48540i −0.331992 + 0.331992i
\(274\) −31.5951 5.00417i −1.90873 0.302313i
\(275\) 1.44556 0.736551i 0.0871708 0.0444157i
\(276\) −2.52967 + 4.96475i −0.152268 + 0.298843i
\(277\) −5.93200 18.2568i −0.356420 1.09695i −0.955182 0.296020i \(-0.904341\pi\)
0.598762 0.800927i \(-0.295659\pi\)
\(278\) 10.8738i 0.652170i
\(279\) −7.96002 + 2.58637i −0.476554 + 0.154842i
\(280\) −1.24376 7.85282i −0.0743291 0.469296i
\(281\) −0.226991 + 1.43316i −0.0135411 + 0.0854954i −0.993533 0.113540i \(-0.963781\pi\)
0.979992 + 0.199036i \(0.0637809\pi\)
\(282\) 32.5768 + 10.5848i 1.93992 + 0.630318i
\(283\) −2.91195 + 8.96207i −0.173098 + 0.532740i −0.999541 0.0302793i \(-0.990360\pi\)
0.826444 + 0.563019i \(0.190360\pi\)
\(284\) 2.84802 + 2.84802i 0.168999 + 0.168999i
\(285\) 0.645213 + 0.888059i 0.0382191 + 0.0526041i
\(286\) 1.81287 0.107197
\(287\) −5.19940 8.92345i −0.306911 0.526734i
\(288\) 34.1501 2.01232
\(289\) −9.33448 12.8478i −0.549087 0.755753i
\(290\) 27.2487 + 27.2487i 1.60010 + 1.60010i
\(291\) −1.17743 + 3.62375i −0.0690221 + 0.212428i
\(292\) −10.8881 3.53775i −0.637176 0.207031i
\(293\) 0.169720 1.07157i 0.00991512 0.0626016i −0.982235 0.187657i \(-0.939911\pi\)
0.992150 + 0.125055i \(0.0399108\pi\)
\(294\) −3.71740 23.4707i −0.216803 1.36884i
\(295\) 21.0776 6.84853i 1.22719 0.398737i
\(296\) 11.0029i 0.639533i
\(297\) 2.65362 + 8.16701i 0.153979 + 0.473898i
\(298\) 10.0619 19.7476i 0.582871 1.14395i
\(299\) −2.56108 + 1.30494i −0.148111 + 0.0754665i
\(300\) −6.84133 1.08356i −0.394984 0.0625594i
\(301\) −12.0656 + 12.0656i −0.695450 + 0.695450i
\(302\) 1.08660 + 2.13256i 0.0625266 + 0.122715i
\(303\) −13.5175 9.82107i −0.776563 0.564206i
\(304\) −0.572268 0.291585i −0.0328218 0.0167236i
\(305\) 5.77176 4.19343i 0.330490 0.240115i
\(306\) 12.4174 1.96673i 0.709857 0.112430i
\(307\) 17.4258 23.9845i 0.994542 1.36887i 0.0659270 0.997824i \(-0.479000\pi\)
0.928615 0.371045i \(-0.121000\pi\)
\(308\) 0.616692 0.848803i 0.0351393 0.0483650i
\(309\) 43.1940 6.84126i 2.45722 0.389186i
\(310\) −4.53691 + 3.29626i −0.257679 + 0.187215i
\(311\) −15.3673 7.83002i −0.871399 0.444000i −0.0396900 0.999212i \(-0.512637\pi\)
−0.831709 + 0.555212i \(0.812637\pi\)
\(312\) 7.07906 + 5.14324i 0.400773 + 0.291179i
\(313\) −0.736533 1.44553i −0.0416313 0.0817060i 0.869254 0.494366i \(-0.164600\pi\)
−0.910885 + 0.412660i \(0.864600\pi\)
\(314\) 21.2871 21.2871i 1.20130 1.20130i
\(315\) −29.9220 4.73917i −1.68591 0.267022i
\(316\) 9.63078 4.90713i 0.541774 0.276048i
\(317\) −7.39686 + 14.5172i −0.415449 + 0.815364i 0.584543 + 0.811363i \(0.301274\pi\)
−0.999992 + 0.00400175i \(0.998726\pi\)
\(318\) 20.8524 + 64.1772i 1.16935 + 3.59888i
\(319\) 5.74899i 0.321882i
\(320\) −3.98764 + 1.29566i −0.222916 + 0.0724298i
\(321\) −4.70006 29.6750i −0.262332 1.65630i
\(322\) −0.814664 + 5.14359i −0.0453995 + 0.286641i
\(323\) −0.129343 0.0420260i −0.00719682 0.00233839i
\(324\) 5.29658 16.3012i 0.294254 0.905622i
\(325\) −2.52657 2.52657i −0.140149 0.140149i
\(326\) −17.7424 24.4203i −0.982660 1.35251i
\(327\) −7.42662 −0.410693
\(328\) −9.02395 + 7.36708i −0.498264 + 0.406779i
\(329\) 10.2261 0.563786
\(330\) 5.96219 + 8.20625i 0.328208 + 0.451739i
\(331\) −17.9285 17.9285i −0.985441 0.985441i 0.0144544 0.999896i \(-0.495399\pi\)
−0.999896 + 0.0144544i \(0.995399\pi\)
\(332\) −1.88290 + 5.79496i −0.103337 + 0.318040i
\(333\) −39.8731 12.9555i −2.18503 0.709959i
\(334\) −0.744460 + 4.70034i −0.0407350 + 0.257191i
\(335\) 3.59856 + 22.7204i 0.196610 + 1.24135i
\(336\) 24.1538 7.84804i 1.31770 0.428146i
\(337\) 26.2434i 1.42957i 0.699344 + 0.714785i \(0.253475\pi\)
−0.699344 + 0.714785i \(0.746525\pi\)
\(338\) 5.65282 + 17.3976i 0.307473 + 0.946305i
\(339\) 10.9843 21.5580i 0.596587 1.17087i
\(340\) 2.39755 1.22161i 0.130025 0.0662513i
\(341\) 0.826331 + 0.130878i 0.0447483 + 0.00708744i
\(342\) −1.08022 + 1.08022i −0.0584114 + 0.0584114i
\(343\) −8.34654 16.3810i −0.450671 0.884491i
\(344\) 15.5710 + 11.3130i 0.839532 + 0.609956i
\(345\) −14.3300 7.30148i −0.771499 0.393098i
\(346\) −16.2398 + 11.7989i −0.873055 + 0.634311i
\(347\) −16.4622 + 2.60735i −0.883735 + 0.139970i −0.581774 0.813351i \(-0.697641\pi\)
−0.301961 + 0.953320i \(0.597641\pi\)
\(348\) −14.4270 + 19.8570i −0.773366 + 1.06445i
\(349\) 5.08471 6.99851i 0.272178 0.374622i −0.650945 0.759125i \(-0.725627\pi\)
0.923124 + 0.384503i \(0.125627\pi\)
\(350\) −6.39396 + 1.01270i −0.341772 + 0.0541313i
\(351\) 15.3005 11.1165i 0.816680 0.593352i
\(352\) −3.04158 1.54976i −0.162117 0.0826027i
\(353\) −11.1586 8.10719i −0.593912 0.431502i 0.249801 0.968297i \(-0.419635\pi\)
−0.843713 + 0.536795i \(0.819635\pi\)
\(354\) 20.0621 + 39.3742i 1.06629 + 2.09271i
\(355\) −8.22035 + 8.22035i −0.436291 + 0.436291i
\(356\) −2.67379 0.423486i −0.141710 0.0224447i
\(357\) 4.79156 2.44142i 0.253596 0.129214i
\(358\) 3.31045 6.49712i 0.174962 0.343383i
\(359\) −5.59785 17.2284i −0.295443 0.909281i −0.983072 0.183219i \(-0.941348\pi\)
0.687629 0.726062i \(-0.258652\pi\)
\(360\) 34.1716i 1.80100i
\(361\) −18.0544 + 5.86622i −0.950229 + 0.308748i
\(362\) −1.24330 7.84987i −0.0653462 0.412580i
\(363\) −5.18638 + 32.7455i −0.272214 + 1.71869i
\(364\) −2.19759 0.714040i −0.115185 0.0374258i
\(365\) 10.2111 31.4267i 0.534476 1.64495i
\(366\) 10.0589 + 10.0589i 0.525788 + 0.525788i
\(367\) 13.5735 + 18.6823i 0.708531 + 0.975210i 0.999827 + 0.0185766i \(0.00591347\pi\)
−0.291296 + 0.956633i \(0.594087\pi\)
\(368\) 9.41019 0.490540
\(369\) 16.0719 + 41.3759i 0.836669 + 2.15395i
\(370\) −28.0911 −1.46038
\(371\) 11.8414 + 16.2983i 0.614774 + 0.846164i
\(372\) −2.52571 2.52571i −0.130952 0.130952i
\(373\) 4.36956 13.4481i 0.226247 0.696317i −0.771915 0.635725i \(-0.780701\pi\)
0.998163 0.0605920i \(-0.0192989\pi\)
\(374\) −1.19521 0.388348i −0.0618029 0.0200810i
\(375\) −3.55149 + 22.4232i −0.183398 + 1.15793i
\(376\) −1.80443 11.3927i −0.0930561 0.587533i
\(377\) −12.0417 + 3.91259i −0.620180 + 0.201509i
\(378\) 34.2650i 1.76240i
\(379\) −11.4876 35.3552i −0.590079 1.81608i −0.577840 0.816150i \(-0.696104\pi\)
−0.0122385 0.999925i \(-0.503896\pi\)
\(380\) −0.148439 + 0.291328i −0.00761475 + 0.0149448i
\(381\) −17.4996 + 8.91651i −0.896533 + 0.456806i
\(382\) −37.8741 5.99867i −1.93781 0.306919i
\(383\) −4.89444 + 4.89444i −0.250094 + 0.250094i −0.821009 0.570915i \(-0.806589\pi\)
0.570915 + 0.821009i \(0.306589\pi\)
\(384\) −17.8923 35.1157i −0.913064 1.79199i
\(385\) 2.44993 + 1.77998i 0.124860 + 0.0907162i
\(386\) −22.2607 11.3424i −1.13304 0.577314i
\(387\) 59.3309 43.1065i 3.01596 2.19122i
\(388\) −1.12096 + 0.177542i −0.0569079 + 0.00901333i
\(389\) 1.39142 1.91513i 0.0705480 0.0971010i −0.772285 0.635276i \(-0.780886\pi\)
0.842833 + 0.538175i \(0.180886\pi\)
\(390\) 13.1310 18.0732i 0.664912 0.915173i
\(391\) 1.96805 0.311708i 0.0995284 0.0157637i
\(392\) −6.47394 + 4.70359i −0.326983 + 0.237567i
\(393\) 2.03678 + 1.03779i 0.102742 + 0.0523498i
\(394\) −1.29056 0.937648i −0.0650176 0.0472380i
\(395\) 14.1636 + 27.7977i 0.712650 + 1.39865i
\(396\) −3.18855 + 3.18855i −0.160231 + 0.160231i
\(397\) 15.9514 + 2.52646i 0.800580 + 0.126799i 0.543301 0.839538i \(-0.317174\pi\)
0.257278 + 0.966337i \(0.417174\pi\)
\(398\) −0.629676 + 0.320836i −0.0315628 + 0.0160820i
\(399\) −0.296658 + 0.582225i −0.0148515 + 0.0291477i
\(400\) 3.61480 + 11.1252i 0.180740 + 0.556261i
\(401\) 4.77242i 0.238323i −0.992875 0.119162i \(-0.961979\pi\)
0.992875 0.119162i \(-0.0380207\pi\)
\(402\) −43.6232 + 14.1741i −2.17573 + 0.706937i
\(403\) −0.288242 1.81989i −0.0143584 0.0906551i
\(404\) 0.778554 4.91560i 0.0387345 0.244560i
\(405\) 47.0508 + 15.2877i 2.33797 + 0.759653i
\(406\) −7.08872 + 21.8168i −0.351807 + 1.08275i
\(407\) 2.96336 + 2.96336i 0.146888 + 0.146888i
\(408\) −3.56541 4.90736i −0.176514 0.242951i
\(409\) −9.57331 −0.473370 −0.236685 0.971586i \(-0.576061\pi\)
−0.236685 + 0.971586i \(0.576061\pi\)
\(410\) 18.8085 + 23.0386i 0.928887 + 1.13780i
\(411\) 58.8088 2.90083
\(412\) 7.65665 + 10.5385i 0.377216 + 0.519194i
\(413\) 9.32879 + 9.32879i 0.459040 + 0.459040i
\(414\) 6.91652 21.2869i 0.339929 1.04619i
\(415\) −16.7262 5.43468i −0.821058 0.266778i
\(416\) −1.17609 + 7.42556i −0.0576627 + 0.364068i
\(417\) −3.12722 19.7445i −0.153141 0.966893i
\(418\) 0.145231 0.0471883i 0.00710347 0.00230806i
\(419\) 8.06247i 0.393878i 0.980416 + 0.196939i \(0.0631000\pi\)
−0.980416 + 0.196939i \(0.936900\pi\)
\(420\) −3.99524 12.2961i −0.194948 0.599988i
\(421\) −8.01644 + 15.7331i −0.390697 + 0.766787i −0.999651 0.0264191i \(-0.991590\pi\)
0.608954 + 0.793206i \(0.291590\pi\)
\(422\) 34.2500 17.4512i 1.66726 0.849513i
\(423\) −43.4101 6.87549i −2.11067 0.334298i
\(424\) 16.0681 16.0681i 0.780334 0.780334i
\(425\) 1.12452 + 2.20699i 0.0545471 + 0.107055i
\(426\) −18.7533 13.6251i −0.908602 0.660138i
\(427\) 3.78405 + 1.92807i 0.183123 + 0.0933058i
\(428\) 7.24011 5.26025i 0.349964 0.254264i
\(429\) −3.29177 + 0.521365i −0.158928 + 0.0251717i
\(430\) 28.8827 39.7536i 1.39285 1.91709i
\(431\) −5.96805 + 8.21431i −0.287471 + 0.395670i −0.928191 0.372105i \(-0.878636\pi\)
0.640720 + 0.767775i \(0.278636\pi\)
\(432\) −61.1537 + 9.68580i −2.94226 + 0.466008i
\(433\) 26.8766 19.5270i 1.29161 0.938406i 0.291769 0.956489i \(-0.405756\pi\)
0.999837 + 0.0180823i \(0.00575610\pi\)
\(434\) −2.97446 1.51557i −0.142779 0.0727495i
\(435\) −57.3140 41.6411i −2.74800 1.99654i
\(436\) −1.00428 1.97101i −0.0480962 0.0943941i
\(437\) −0.171204 + 0.171204i −0.00818981 + 0.00818981i
\(438\) 65.0770 + 10.3072i 3.10950 + 0.492496i
\(439\) −32.8349 + 16.7302i −1.56713 + 0.798490i −0.999689 0.0249274i \(-0.992065\pi\)
−0.567436 + 0.823418i \(0.692065\pi\)
\(440\) 1.55074 3.04349i 0.0739285 0.145093i
\(441\) 9.42233 + 28.9989i 0.448682 + 1.38090i
\(442\) 2.76776i 0.131649i
\(443\) 29.3333 9.53097i 1.39367 0.452830i 0.486530 0.873664i \(-0.338262\pi\)
0.907138 + 0.420834i \(0.138262\pi\)
\(444\) −2.79896 17.6719i −0.132833 0.838672i
\(445\) 1.22232 7.71745i 0.0579437 0.365842i
\(446\) −6.64563 2.15930i −0.314680 0.102246i
\(447\) −12.5910 + 38.7510i −0.595532 + 1.83286i
\(448\) −1.76490 1.76490i −0.0833837 0.0833837i
\(449\) 17.4190 + 23.9753i 0.822055 + 1.13146i 0.989350 + 0.145555i \(0.0464969\pi\)
−0.167295 + 0.985907i \(0.553503\pi\)
\(450\) 27.8233 1.31161
\(451\) 0.446235 4.41451i 0.0210124 0.207871i
\(452\) 7.20681 0.338980
\(453\) −2.58633 3.55977i −0.121516 0.167253i
\(454\) 26.1743 + 26.1743i 1.22842 + 1.22842i
\(455\) 2.06096 6.34298i 0.0966193 0.297364i
\(456\) 0.700988 + 0.227765i 0.0328268 + 0.0106661i
\(457\) −1.18792 + 7.50026i −0.0555688 + 0.350847i 0.944201 + 0.329371i \(0.106837\pi\)
−0.999769 + 0.0214764i \(0.993163\pi\)
\(458\) −2.65689 16.7750i −0.124149 0.783843i
\(459\) −12.4688 + 4.05137i −0.581996 + 0.189102i
\(460\) 4.79050i 0.223358i
\(461\) −7.81323 24.0467i −0.363898 1.11996i −0.950668 0.310210i \(-0.899601\pi\)
0.586770 0.809754i \(-0.300399\pi\)
\(462\) −2.74132 + 5.38014i −0.127538 + 0.250307i
\(463\) 13.1377 6.69397i 0.610559 0.311095i −0.121233 0.992624i \(-0.538685\pi\)
0.731791 + 0.681529i \(0.238685\pi\)
\(464\) 40.9409 + 6.48440i 1.90063 + 0.301031i
\(465\) 7.29005 7.29005i 0.338068 0.338068i
\(466\) 1.00134 + 1.96523i 0.0463860 + 0.0910376i
\(467\) 17.8981 + 13.0037i 0.828226 + 0.601742i 0.919057 0.394125i \(-0.128952\pi\)
−0.0908306 + 0.995866i \(0.528952\pi\)
\(468\) 8.84871 + 4.50865i 0.409032 + 0.208412i
\(469\) −11.0784 + 8.04896i −0.511555 + 0.371667i
\(470\) −29.0861 + 4.60679i −1.34164 + 0.212495i
\(471\) −32.5307 + 44.7746i −1.49893 + 2.06310i
\(472\) 8.74689 12.0391i 0.402608 0.554143i
\(473\) −7.24052 + 1.14679i −0.332920 + 0.0527293i
\(474\) −50.3271 + 36.5648i −2.31160 + 1.67947i
\(475\) −0.268172 0.136641i −0.0123046 0.00626950i
\(476\) 1.29590 + 0.941523i 0.0593973 + 0.0431546i
\(477\) −39.3088 77.1479i −1.79983 3.53236i
\(478\) −8.60238 + 8.60238i −0.393464 + 0.393464i
\(479\) −15.6892 2.48493i −0.716859 0.113539i −0.212660 0.977126i \(-0.568213\pi\)
−0.504200 + 0.863587i \(0.668213\pi\)
\(480\) −37.4810 + 19.0975i −1.71077 + 0.871679i
\(481\) 4.19022 8.22377i 0.191058 0.374972i
\(482\) −5.71468 17.5880i −0.260297 0.801110i
\(483\) 9.57391i 0.435628i
\(484\) −9.39192 + 3.05162i −0.426905 + 0.138710i
\(485\) −0.512446 3.23546i −0.0232690 0.146915i
\(486\) −5.46158 + 34.4830i −0.247742 + 1.56418i
\(487\) 20.0083 + 6.50110i 0.906664 + 0.294593i 0.724985 0.688765i \(-0.241847\pi\)
0.181679 + 0.983358i \(0.441847\pi\)
\(488\) 1.48031 4.55593i 0.0670105 0.206237i
\(489\) 39.2393 + 39.2393i 1.77446 + 1.77446i
\(490\) 12.0085 + 16.5283i 0.542489 + 0.746673i
\(491\) −0.0541126 −0.00244207 −0.00122103 0.999999i \(-0.500389\pi\)
−0.00122103 + 0.999999i \(0.500389\pi\)
\(492\) −12.6194 + 14.1279i −0.568926 + 0.636934i
\(493\) 8.77717 0.395304
\(494\) −0.197680 0.272083i −0.00889402 0.0122416i
\(495\) −9.20325 9.20325i −0.413655 0.413655i
\(496\) −1.86407 + 5.73702i −0.0836992 + 0.257600i
\(497\) −6.58168 2.13852i −0.295229 0.0959256i
\(498\) 5.48580 34.6360i 0.245825 1.55208i
\(499\) 5.08470 + 32.1035i 0.227623 + 1.43715i 0.791437 + 0.611251i \(0.209333\pi\)
−0.563815 + 0.825901i \(0.690667\pi\)
\(500\) −6.43133 + 2.08966i −0.287618 + 0.0934526i
\(501\) 8.74887i 0.390871i
\(502\) −2.98001 9.17151i −0.133004 0.409345i
\(503\) −14.6571 + 28.7662i −0.653529 + 1.28262i 0.291793 + 0.956482i \(0.405748\pi\)
−0.945321 + 0.326140i \(0.894252\pi\)
\(504\) −18.1247 + 9.23500i −0.807339 + 0.411360i
\(505\) 14.1881 + 2.24717i 0.631362 + 0.0999979i
\(506\) −1.58204 + 1.58204i −0.0703302 + 0.0703302i
\(507\) −15.2677 29.9645i −0.678062 1.33077i
\(508\) −4.73284 3.43861i −0.209986 0.152564i
\(509\) −25.7195 13.1047i −1.14000 0.580857i −0.221059 0.975260i \(-0.570951\pi\)
−0.918938 + 0.394403i \(0.870951\pi\)
\(510\) −12.5287 + 9.10267i −0.554782 + 0.403073i
\(511\) 19.4284 3.07716i 0.859462 0.136125i
\(512\) 3.78156 5.20487i 0.167123 0.230025i
\(513\) 0.936381 1.28882i 0.0413422 0.0569027i
\(514\) 37.2232 5.89558i 1.64185 0.260043i
\(515\) −30.4176 + 22.0997i −1.34036 + 0.973829i
\(516\) 27.8866 + 14.2089i 1.22764 + 0.625513i
\(517\) 3.55431 + 2.58236i 0.156318 + 0.113572i
\(518\) −7.59172 14.8996i −0.333561 0.654650i
\(519\) 26.0946 26.0946i 1.14542 1.14542i
\(520\) −7.43022 1.17683i −0.325837 0.0516075i
\(521\) 15.6014 7.94931i 0.683509 0.348265i −0.0775127 0.996991i \(-0.524698\pi\)
0.761022 + 0.648726i \(0.224698\pi\)
\(522\) 44.7602 87.8468i 1.95910 3.84495i
\(523\) 2.25075 + 6.92710i 0.0984185 + 0.302901i 0.988130 0.153623i \(-0.0490942\pi\)
−0.889711 + 0.456524i \(0.849094\pi\)
\(524\) 0.680896i 0.0297451i
\(525\) 11.3188 3.67769i 0.493992 0.160508i
\(526\) −1.57178 9.92380i −0.0685327 0.432698i
\(527\) −0.199816 + 1.26159i −0.00870411 + 0.0549556i
\(528\) 10.3770 + 3.37168i 0.451600 + 0.146734i
\(529\) −6.01119 + 18.5005i −0.261356 + 0.804371i
\(530\) −41.0226 41.0226i −1.78191 1.78191i
\(531\) −33.3287 45.8730i −1.44634 1.99072i
\(532\) −0.194637 −0.00843860
\(533\) −9.55023 + 2.06971i −0.413667 + 0.0896491i
\(534\) 15.5801 0.674216
\(535\) 15.1829 + 20.8974i 0.656413 + 0.903474i
\(536\) 10.9220 + 10.9220i 0.471757 + 0.471757i
\(537\) −4.14253 + 12.7494i −0.178763 + 0.550177i
\(538\) 22.3853 + 7.27343i 0.965100 + 0.313580i
\(539\) 0.476798 3.01039i 0.0205372 0.129667i
\(540\) 4.93080 + 31.1319i 0.212188 + 1.33970i
\(541\) −28.9790 + 9.41585i −1.24590 + 0.404819i −0.856451 0.516228i \(-0.827336\pi\)
−0.389453 + 0.921046i \(0.627336\pi\)
\(542\) 27.2790i 1.17173i
\(543\) 4.51511 + 13.8961i 0.193762 + 0.596337i
\(544\) 2.36608 4.64368i 0.101445 0.199096i
\(545\) 5.68900 2.89869i 0.243690 0.124166i
\(546\) 13.1348 + 2.08035i 0.562117 + 0.0890306i
\(547\) −22.9755 + 22.9755i −0.982360 + 0.982360i −0.999847 0.0174867i \(-0.994434\pi\)
0.0174867 + 0.999847i \(0.494434\pi\)
\(548\) 7.95254 + 15.6077i 0.339716 + 0.666729i
\(549\) −14.7670 10.7289i −0.630241 0.457897i
\(550\) −2.47809 1.26265i −0.105666 0.0538395i
\(551\) −0.862832 + 0.626884i −0.0367579 + 0.0267062i
\(552\) −10.6661 + 1.68934i −0.453978 + 0.0719030i
\(553\) −10.9162 + 15.0249i −0.464205 + 0.638923i
\(554\) −19.3427 + 26.6230i −0.821793 + 1.13110i
\(555\) 51.0072 8.07874i 2.16513 0.342924i
\(556\) 4.81727 3.49995i 0.204298 0.148431i
\(557\) −22.1309 11.2762i −0.937716 0.477790i −0.0828053 0.996566i \(-0.526388\pi\)
−0.854910 + 0.518776i \(0.826388\pi\)
\(558\) 11.6077 + 8.43346i 0.491392 + 0.357017i
\(559\) 7.32972 + 14.3854i 0.310014 + 0.608437i
\(560\) −15.4393 + 15.4393i −0.652429 + 0.652429i
\(561\) 2.28193 + 0.361422i 0.0963430 + 0.0152592i
\(562\) 2.21634 1.12928i 0.0934907 0.0476359i
\(563\) 11.3113 22.1997i 0.476716 0.935608i −0.519964 0.854188i \(-0.674055\pi\)
0.996680 0.0814196i \(-0.0259454\pi\)
\(564\) −5.79621 17.8389i −0.244065 0.751154i
\(565\) 20.8013i 0.875118i
\(566\) 15.3634 4.99188i 0.645773 0.209824i
\(567\) 4.60700 + 29.0875i 0.193476 + 1.22156i
\(568\) −1.22112 + 7.70983i −0.0512370 + 0.323497i
\(569\) −13.3652 4.34260i −0.560297 0.182051i 0.0151580 0.999885i \(-0.495175\pi\)
−0.575455 + 0.817834i \(0.695175\pi\)
\(570\) 0.581495 1.78966i 0.0243562 0.0749606i
\(571\) −21.7176 21.7176i −0.908854 0.908854i 0.0873260 0.996180i \(-0.472168\pi\)
−0.996180 + 0.0873260i \(0.972168\pi\)
\(572\) −0.583505 0.803126i −0.0243976 0.0335804i
\(573\) 70.4962 2.94502
\(574\) −7.13667 + 16.2024i −0.297879 + 0.676274i
\(575\) 4.40974 0.183899
\(576\) 6.30541 + 8.67865i 0.262725 + 0.361610i
\(577\) 0.105596 + 0.105596i 0.00439603 + 0.00439603i 0.709301 0.704905i \(-0.249011\pi\)
−0.704905 + 0.709301i \(0.749011\pi\)
\(578\) −8.41266 + 25.8915i −0.349921 + 1.07694i
\(579\) 43.6826 + 14.1933i 1.81539 + 0.589855i
\(580\) 3.30105 20.8420i 0.137069 0.865418i
\(581\) −1.63776 10.3404i −0.0679456 0.428992i
\(582\) 6.21209 2.01843i 0.257500 0.0836667i
\(583\) 8.65505i 0.358456i
\(584\) −6.85637 21.1017i −0.283719 0.873196i
\(585\) −13.0135 + 25.5404i −0.538041 + 1.05597i
\(586\) −1.65714 + 0.844356i −0.0684559 + 0.0348800i
\(587\) 15.8079 + 2.50372i 0.652460 + 0.103339i 0.473885 0.880587i \(-0.342851\pi\)
0.178575 + 0.983926i \(0.442851\pi\)
\(588\) −9.20135 + 9.20135i −0.379457 + 0.379457i
\(589\) −0.0704625 0.138290i −0.00290335 0.00569815i
\(590\) −30.7363 22.3313i −1.26540 0.919363i
\(591\) 2.61304 + 1.33141i 0.107486 + 0.0547668i
\(592\) −24.4457 + 17.7609i −1.00471 + 0.729967i
\(593\) 1.94396 0.307893i 0.0798289 0.0126436i −0.116392 0.993203i \(-0.537133\pi\)
0.196221 + 0.980560i \(0.437133\pi\)
\(594\) 8.65277 11.9095i 0.355028 0.488654i
\(595\) −2.71756 + 3.74039i −0.111409 + 0.153341i
\(596\) −11.9871 + 1.89857i −0.491010 + 0.0777683i
\(597\) 1.05108 0.763656i 0.0430180 0.0312544i
\(598\) 4.39039 + 2.23702i 0.179537 + 0.0914785i
\(599\) 15.0623 + 10.9434i 0.615429 + 0.447136i 0.851322 0.524644i \(-0.175801\pi\)
−0.235893 + 0.971779i \(0.575801\pi\)
\(600\) −6.09445 11.9610i −0.248805 0.488307i
\(601\) 7.07160 7.07160i 0.288456 0.288456i −0.548013 0.836470i \(-0.684616\pi\)
0.836470 + 0.548013i \(0.184616\pi\)
\(602\) 28.8911 + 4.57590i 1.17751 + 0.186500i
\(603\) 52.4399 26.7194i 2.13552 1.08810i
\(604\) 0.595015 1.16778i 0.0242108 0.0475164i
\(605\) −8.80801 27.1083i −0.358096 1.10211i
\(606\) 28.6431i 1.16355i
\(607\) 36.0725 11.7207i 1.46414 0.475727i 0.534806 0.844975i \(-0.320385\pi\)
0.929331 + 0.369248i \(0.120385\pi\)
\(608\) 0.0990668 + 0.625483i 0.00401769 + 0.0253667i
\(609\) 6.59722 41.6532i 0.267333 1.68787i
\(610\) −11.6315 3.77931i −0.470946 0.153020i
\(611\) 2.99000 9.20226i 0.120962 0.372284i
\(612\) −4.86807 4.86807i −0.196780 0.196780i
\(613\) −15.8786 21.8550i −0.641331 0.882717i 0.357354 0.933969i \(-0.383679\pi\)
−0.998686 + 0.0512520i \(0.983679\pi\)
\(614\) −50.8222 −2.05102
\(615\) −40.7779 36.4238i −1.64432 1.46875i
\(616\) 2.03337 0.0819269
\(617\) −5.89230 8.11005i −0.237215 0.326498i 0.673768 0.738943i \(-0.264675\pi\)
−0.910983 + 0.412445i \(0.864675\pi\)
\(618\) −53.0113 53.0113i −2.13243 2.13243i
\(619\) 10.2987 31.6960i 0.413938 1.27397i −0.499259 0.866453i \(-0.666394\pi\)
0.913197 0.407518i \(-0.133606\pi\)
\(620\) 2.92058 + 0.948953i 0.117293 + 0.0381109i
\(621\) −3.65129 + 23.0533i −0.146521 + 0.925098i
\(622\) 4.62518 + 29.2022i 0.185453 + 1.17090i
\(623\) 4.42370 1.43735i 0.177232 0.0575861i
\(624\) 24.0301i 0.961973i
\(625\) −9.64900 29.6966i −0.385960 1.18786i
\(626\) −1.26262 + 2.47803i −0.0504643 + 0.0990418i
\(627\) −0.250136 + 0.127451i −0.00998948 + 0.00508989i
\(628\) −16.2821 2.57883i −0.649727 0.102907i
\(629\) −4.52426 + 4.52426i −0.180394 + 0.180394i
\(630\) 23.5774 + 46.2733i 0.939348 + 1.84357i
\(631\) 8.52090 + 6.19080i 0.339212 + 0.246452i 0.744329 0.667813i \(-0.232769\pi\)
−0.405117 + 0.914265i \(0.632769\pi\)
\(632\) 18.6650 + 9.51032i 0.742456 + 0.378300i
\(633\) −57.1716 + 41.5376i −2.27237 + 1.65097i
\(634\) 27.5867 4.36931i 1.09561 0.173527i
\(635\) 9.92500 13.6606i 0.393862 0.542104i
\(636\) 21.7196 29.8945i 0.861240 1.18540i
\(637\) −6.62999 + 1.05009i −0.262690 + 0.0416060i
\(638\) −7.97313 + 5.79282i −0.315659 + 0.229340i
\(639\) 26.5015 + 13.5032i 1.04838 + 0.534178i
\(640\) 27.4121 + 19.9160i 1.08356 + 0.787250i
\(641\) −2.10778 4.13674i −0.0832521 0.163391i 0.845627 0.533774i \(-0.179227\pi\)
−0.928879 + 0.370382i \(0.879227\pi\)
\(642\) −36.4197 + 36.4197i −1.43737 + 1.43737i
\(643\) −29.6739 4.69989i −1.17023 0.185346i −0.459083 0.888393i \(-0.651822\pi\)
−0.711143 + 0.703048i \(0.751822\pi\)
\(644\) 2.54090 1.29465i 0.100125 0.0510164i
\(645\) −41.0118 + 80.4901i −1.61484 + 3.16930i
\(646\) 0.0720440 + 0.221729i 0.00283453 + 0.00872379i
\(647\) 16.4853i 0.648104i −0.946039 0.324052i \(-0.894955\pi\)
0.946039 0.324052i \(-0.105045\pi\)
\(648\) 31.5927 10.2651i 1.24108 0.403251i
\(649\) 0.886663 + 5.59817i 0.0348046 + 0.219747i
\(650\) −0.958206 + 6.04988i −0.0375839 + 0.237296i
\(651\) 5.83684 + 1.89650i 0.228764 + 0.0743298i
\(652\) −5.10782 + 15.7202i −0.200038 + 0.615652i
\(653\) 23.6145 + 23.6145i 0.924105 + 0.924105i 0.997316 0.0732110i \(-0.0233247\pi\)
−0.0732110 + 0.997316i \(0.523325\pi\)
\(654\) 7.48323 + 10.2998i 0.292618 + 0.402754i
\(655\) −1.96530 −0.0767905
\(656\) 30.9342 + 8.15703i 1.20778 + 0.318478i
\(657\) −84.5428 −3.29833
\(658\) −10.3041 14.1824i −0.401696 0.552887i
\(659\) −3.37421 3.37421i −0.131441 0.131441i 0.638326 0.769766i \(-0.279627\pi\)
−0.769766 + 0.638326i \(0.779627\pi\)
\(660\) 1.71644 5.28267i 0.0668124 0.205627i
\(661\) 12.2982 + 3.99593i 0.478345 + 0.155424i 0.538258 0.842780i \(-0.319082\pi\)
−0.0599133 + 0.998204i \(0.519082\pi\)
\(662\) −6.79942 + 42.9298i −0.264267 + 1.66852i
\(663\) −0.795985 5.02565i −0.0309135 0.195180i
\(664\) −11.2310 + 3.64917i −0.435847 + 0.141615i
\(665\) 0.561789i 0.0217853i
\(666\) 22.2093 + 68.3532i 0.860594 + 2.64863i
\(667\) 7.09406 13.9229i 0.274683 0.539096i
\(668\) 2.32193 1.18308i 0.0898383 0.0457749i
\(669\) 12.6880 + 2.00958i 0.490546 + 0.0776949i
\(670\) 27.8843 27.8843i 1.07727 1.07727i
\(671\) 0.828340 + 1.62571i 0.0319777 + 0.0627598i
\(672\) −20.2588 14.7189i −0.781500 0.567793i
\(673\) 5.66568 + 2.88681i 0.218396 + 0.111278i 0.559766 0.828651i \(-0.310891\pi\)
−0.341370 + 0.939929i \(0.610891\pi\)
\(674\) 36.3963 26.4435i 1.40193 1.01856i
\(675\) −28.6574 + 4.53889i −1.10303 + 0.174702i
\(676\) 5.88791 8.10402i 0.226458 0.311693i
\(677\) −20.5198 + 28.2431i −0.788642 + 1.08547i 0.205634 + 0.978629i \(0.434074\pi\)
−0.994276 + 0.106843i \(0.965926\pi\)
\(678\) −40.9663 + 6.48842i −1.57330 + 0.249186i
\(679\) 1.57761 1.14620i 0.0605430 0.0439871i
\(680\) 4.64660 + 2.36756i 0.178189 + 0.0907918i
\(681\) −55.0542 39.9992i −2.10968 1.53277i
\(682\) −0.651119 1.27789i −0.0249326 0.0489331i
\(683\) 17.6969 17.6969i 0.677154 0.677154i −0.282201 0.959355i \(-0.591065\pi\)
0.959355 + 0.282201i \(0.0910645\pi\)
\(684\) 0.826239 + 0.130863i 0.0315920 + 0.00500368i
\(685\) −45.0492 + 22.9537i −1.72124 + 0.877017i
\(686\) −14.3082 + 28.0815i −0.546291 + 1.07216i
\(687\) 9.64867 + 29.6956i 0.368120 + 1.13296i
\(688\) 52.8562i 2.01512i
\(689\) 18.1287 5.89037i 0.690649 0.224405i
\(690\) 4.31297 + 27.2310i 0.164192 + 1.03667i
\(691\) 4.16500 26.2968i 0.158444 1.00038i −0.772446 0.635080i \(-0.780967\pi\)
0.930891 0.365298i \(-0.119033\pi\)
\(692\) 10.4541 + 3.39675i 0.397406 + 0.129125i
\(693\) 2.39422 7.36865i 0.0909489 0.279912i
\(694\) 20.2037 + 20.2037i 0.766923 + 0.766923i
\(695\) 10.1020 + 13.9043i 0.383192 + 0.527419i
\(696\) −47.5689 −1.80310
\(697\) 6.73977 + 0.681281i 0.255287 + 0.0258053i
\(698\) −14.8295 −0.561306
\(699\) −2.38339 3.28045i −0.0901480 0.124078i
\(700\) 2.50666 + 2.50666i 0.0947427 + 0.0947427i
\(701\) 6.42667 19.7793i 0.242732 0.747052i −0.753269 0.657712i \(-0.771524\pi\)
0.996001 0.0893399i \(-0.0284757\pi\)
\(702\) −30.8343 10.0187i −1.16376 0.378130i
\(703\) 0.121621 0.767886i 0.00458703 0.0289614i
\(704\) −0.167746 1.05911i −0.00632218 0.0399167i
\(705\) 51.4891 16.7298i 1.93919 0.630082i
\(706\) 23.6446i 0.889874i
\(707\) 2.64248 + 8.13272i 0.0993807 + 0.305862i
\(708\) 10.9859 21.5611i 0.412877 0.810316i
\(709\) 7.83436 3.99181i 0.294226 0.149915i −0.300647 0.953736i \(-0.597203\pi\)
0.594872 + 0.803820i \(0.297203\pi\)
\(710\) 19.6836 + 3.11758i 0.738712 + 0.117001i
\(711\) 56.4414 56.4414i 2.11672 2.11672i
\(712\) −2.38188 4.67471i −0.0892649 0.175192i
\(713\) 1.83971 + 1.33662i 0.0688975 + 0.0500570i
\(714\) −8.21403 4.18526i −0.307402 0.156629i
\(715\) 2.31809 1.68419i 0.0866918 0.0629852i
\(716\) −3.94384 + 0.624643i −0.147388 + 0.0233440i
\(717\) 13.1461 18.0940i 0.490948 0.675732i
\(718\) −18.2531 + 25.1233i −0.681201 + 0.937593i
\(719\) 12.8945 2.04229i 0.480885 0.0761647i 0.0887143 0.996057i \(-0.471724\pi\)
0.392171 + 0.919892i \(0.371724\pi\)
\(720\) 75.9206 55.1595i 2.82939 2.05567i
\(721\) −19.9422 10.1611i −0.742688 0.378418i
\(722\) 26.3277 + 19.1282i 0.979816 + 0.711878i
\(723\) 15.4347 + 30.2924i 0.574024 + 1.12659i
\(724\) −3.07742 + 3.07742i −0.114371 + 0.114371i
\(725\) 19.1855 + 3.03868i 0.712530 + 0.112854i
\(726\) 50.6398 25.8023i 1.87942 0.957612i
\(727\) −12.5723 + 24.6746i −0.466282 + 0.915131i 0.531402 + 0.847120i \(0.321665\pi\)
−0.997685 + 0.0680111i \(0.978335\pi\)
\(728\) −1.38385 4.25906i −0.0512890 0.157851i
\(729\) 9.40774i 0.348435i
\(730\) −53.8738 + 17.5047i −1.99396 + 0.647877i
\(731\) −1.75084 11.0543i −0.0647570 0.408860i
\(732\) 1.21859 7.69389i 0.0450405 0.284374i
\(733\) −23.2536 7.55554i −0.858890 0.279070i −0.153725 0.988114i \(-0.549127\pi\)
−0.705165 + 0.709043i \(0.749127\pi\)
\(734\) 12.2331 37.6495i 0.451531 1.38967i
\(735\) −26.5582 26.5582i −0.979615 0.979615i
\(736\) −5.45374 7.50643i −0.201027 0.276690i
\(737\) −5.88311 −0.216707
\(738\) 41.1888 63.9811i 1.51618 2.35518i
\(739\) −35.1342 −1.29243 −0.646215 0.763155i \(-0.723649\pi\)
−0.646215 + 0.763155i \(0.723649\pi\)
\(740\) 9.04162 + 12.4447i 0.332377 + 0.457477i
\(741\) 0.437191 + 0.437191i 0.0160606 + 0.0160606i
\(742\) 10.6720 32.8450i 0.391782 1.20578i
\(743\) 5.44093 + 1.76787i 0.199608 + 0.0648567i 0.407115 0.913377i \(-0.366535\pi\)
−0.207507 + 0.978234i \(0.566535\pi\)
\(744\) 1.08292 6.83732i 0.0397019 0.250668i
\(745\) −5.47991 34.5988i −0.200768 1.26760i
\(746\) −23.0537 + 7.49061i −0.844057 + 0.274251i
\(747\) 44.9963i 1.64633i
\(748\) 0.212657 + 0.654492i 0.00777552 + 0.0239306i
\(749\) −6.98083 + 13.7007i −0.255074 + 0.500611i
\(750\) 34.6767 17.6687i 1.26622 0.645169i
\(751\) −11.5290 1.82601i −0.420699 0.0666322i −0.0575040 0.998345i \(-0.518314\pi\)
−0.363195 + 0.931713i \(0.618314\pi\)
\(752\) −22.3990 + 22.3990i −0.816807 + 0.816807i
\(753\) 8.04868 + 15.7964i 0.293310 + 0.575654i
\(754\) 17.5598 + 12.7579i 0.639490 + 0.464617i
\(755\) 3.37062 + 1.71741i 0.122669 + 0.0625031i
\(756\) −15.1799 + 11.0288i −0.552087 + 0.401114i
\(757\) 37.9100 6.00436i 1.37786 0.218232i 0.576836 0.816860i \(-0.304287\pi\)
0.801027 + 0.598628i \(0.204287\pi\)
\(758\) −37.4581 + 51.5566i −1.36054 + 1.87262i
\(759\) 2.41765 3.32761i 0.0877552 0.120785i
\(760\) −0.625876 + 0.0991290i −0.0227029 + 0.00359579i
\(761\) 39.0623 28.3804i 1.41601 1.02879i 0.423591 0.905854i \(-0.360769\pi\)
0.992415 0.122935i \(-0.0392305\pi\)
\(762\) 29.9991 + 15.2853i 1.08675 + 0.553728i
\(763\) 3.07495 + 2.23408i 0.111321 + 0.0808792i
\(764\) 9.53299 + 18.7095i