Properties

Label 41.2.g.a.33.1
Level 41
Weight 2
Character 41.33
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 33.1
Character \(\chi\) = 41.33
Dual form 41.2.g.a.5.1

$q$-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 \(\left(\mathbb{Z}/41\mathbb{Z}\right)^\times\).

\(n\) \(6\)
\(\chi(n)\) \(e\left(\frac{9}{20}\right)\)

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 0.287242 + 0.957858i \(0.407261\pi\)
−0.999740 + 0.0228107i \(0.992739\pi\)
\(3\) 2.22848 2.22848i 1.28661 1.28661i 0.349778 0.936832i \(-0.386257\pi\)
0.936832 0.349778i \(-0.113743\pi\)
\(4\) −0.290083 0.892782i −0.145041 0.446391i
\(5\) −2.57687 + 0.837277i −1.15241 + 0.374442i −0.822052 0.569413i \(-0.807171\pi\)
−0.330361 + 0.943855i \(0.607171\pi\)
\(6\) 0.845152 + 5.33608i 0.345032 + 2.17845i
\(7\) −0.252316 + 1.59306i −0.0953664 + 0.602120i 0.893003 + 0.450050i \(0.148594\pi\)
−0.988370 + 0.152070i \(0.951406\pi\)
\(8\) −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 0.933558 0.358427i \(-0.116687\pi\)
−0.838705 + 0.544586i \(0.816687\pi\)
\(12\) −2.63599 1.34310i −0.760944 0.387720i
\(13\) −1.50733 + 0.238738i −0.418058 + 0.0662139i −0.361920 0.932209i \(-0.617879\pi\)
−0.0561381 + 0.998423i \(0.517879\pi\)
\(14\) −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 −0.335928 0.941888i \(-0.609050\pi\)
0.564550 + 0.825399i \(0.309050\pi\)
\(18\) 9.61410 + 6.98505i 2.26607 + 1.64639i
\(19\) −0.126968 0.0201098i −0.0291285 0.00461350i 0.141853 0.989888i \(-0.454694\pi\)
−0.170982 + 0.985274i \(0.554694\pi\)
\(20\) 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 0.735203 0.677847i \(-0.237087\pi\)
−0.417480 + 0.908686i \(0.637087\pi\)
\(24\) −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 0.975847 0.218456i \(-0.0701022\pi\)
0.396853 + 0.917882i \(0.370102\pi\)
\(30\) −6.64563 13.0428i −1.21332 2.38127i
\(31\) 0.373094 1.14827i 0.0670097 0.206235i −0.911945 0.410313i \(-0.865420\pi\)
0.978955 + 0.204078i \(0.0654196\pi\)
\(32\) 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 −0.978830 0.204673i \(-0.934387\pi\)
0.671586 0.740926i \(-0.265613\pi\)
\(38\) 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 0.00400713 + 0.999992i \(0.498724\pi\)
−0.952287 + 0.305204i \(0.901276\pi\)
\(44\) 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 −0.948089 0.318005i \(-0.896987\pi\)
0.803418 0.595416i \(-0.203013\pi\)
\(48\) 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 −0.531020 0.847359i \(-0.678191\pi\)
−0.997654 + 0.0684612i \(0.978191\pi\)
\(54\) 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 0.0667860 0.997767i \(-0.478726\pi\)
−0.928295 + 0.371844i \(0.878726\pi\)
\(60\) 7.91715 + 1.25395i 1.02210 + 0.161885i
\(61\) −1.54768 2.13021i −0.198161 0.272745i 0.698360 0.715747i \(-0.253913\pi\)
−0.896521 + 0.443002i \(0.853913\pi\)
\(62\) 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 0.526375 + 0.850252i \(0.323551\pi\)
−0.997264 + 0.0739193i \(0.976449\pi\)
\(68\) −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 0.977231 0.212179i \(-0.0680560\pi\)
−0.746058 + 0.665881i \(0.768056\pi\)
\(72\) −3.89727 + 11.9946i −0.459298 + 1.41357i
\(73\) 12.1957i 1.42739i −0.700455 0.713697i \(-0.747019\pi\)
0.700455 0.713697i \(-0.252981\pi\)
\(74\) 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 −0.996738 0.0807015i \(-0.974284\pi\)
0.0807015 + 0.996738i \(0.474284\pi\)
\(80\) −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 −0.952174 0.305557i \(-0.901157\pi\)
0.999993 + 0.00363635i \(0.00115749\pi\)
\(90\) −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 −0.861462 0.507823i \(-0.830450\pi\)
0.917192 + 0.398446i \(0.130450\pi\)
\(98\) −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 −0.109629 0.993973i \(-0.534966\pi\)
−0.411418 + 0.911447i \(0.634966\pi\)
\(102\) 3.35956 + 4.62403i 0.332646 + 0.457848i
\(103\) 8.15642 + 11.2264i 0.803676 + 1.10617i 0.992268 + 0.124110i \(0.0396075\pi\)
−0.188592 + 0.982055i \(0.560392\pi\)
\(104\) 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 −0.894464 0.447139i \(-0.852443\pi\)
0.148850 + 0.988860i \(0.452443\pi\)
\(108\) −5.28135 + 10.3652i −0.508198 + 0.997395i
\(109\) −1.66630 1.66630i −0.159603 0.159603i 0.622788 0.782391i \(-0.286000\pi\)
−0.782391 + 0.622788i \(0.786000\pi\)
\(110\) 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 0.775296 + 0.631598i \(0.217601\pi\)
−0.998472 + 0.0552663i \(0.982399\pi\)
\(114\) 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 0.828536 0.559936i \(-0.189174\pi\)
−0.999422 + 0.0340038i \(0.989174\pi\)
\(128\) −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 0.338998 0.940787i \(-0.389912\pi\)
−0.278726 + 0.960371i \(0.589912\pi\)
\(132\) 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 0.990612 + 0.136700i \(0.0436498\pi\)
0.136700 + 0.990612i \(0.456350\pi\)
\(138\) −4.61959 + 9.06646i −0.393246 + 0.771789i
\(139\) −5.13170 + 3.72840i −0.435265 + 0.316239i −0.783751 0.621075i \(-0.786696\pi\)
0.348486 + 0.937314i \(0.386696\pi\)
\(140\) −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 −0.515382 0.856961i \(-0.672350\pi\)
0.996230 0.0867562i \(-0.0276501\pi\)
\(150\) 8.94429 + 8.94429i 0.730298 + 0.730298i
\(151\) −1.37899 + 0.218411i −0.112221 + 0.0177740i −0.212292 0.977206i \(-0.568093\pi\)
0.100071 + 0.994980i \(0.468093\pi\)
\(152\) 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 −0.594987 0.803735i \(-0.702843\pi\)
0.814234 0.580537i \(-0.197157\pi\)
\(158\) −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 −0.778966 0.627066i \(-0.784255\pi\)
0.627066 + 0.778966i \(0.284255\pi\)
\(168\) −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 \(0.146843\pi\)
−0.895465 + 0.445132i \(0.853157\pi\)
\(174\) −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 −0.807508 0.589857i \(-0.799184\pi\)
0.951846 + 0.306578i \(0.0991841\pi\)
\(180\) 14.2645 10.3637i 1.06321 0.772467i
\(181\) 4.13089 2.10479i 0.307047 0.156448i −0.293677 0.955905i \(-0.594879\pi\)
0.600724 + 0.799457i \(0.294879\pi\)
\(182\) 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 0.987619 + 0.156869i \(0.0501399\pi\)
0.156869 + 0.987619i \(0.449860\pi\)
\(192\) 4.81688 0.762919i 0.347628 0.0550589i
\(193\) 12.9855 + 6.61647i 0.934720 + 0.476264i 0.853884 0.520464i \(-0.174241\pi\)
0.0808362 + 0.996727i \(0.474241\pi\)
\(194\) 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 0.340374 0.940290i \(-0.389446\pi\)
−0.277320 + 0.960778i \(0.589446\pi\)
\(198\) −1.28819 + 8.13334i −0.0915480 + 0.578011i
\(199\) 0.0644895 + 0.407171i 0.00457154 + 0.0288636i 0.989869 0.141986i \(-0.0453488\pi\)
−0.985297 + 0.170850i \(0.945349\pi\)
\(200\) −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 −0.748728 0.662877i \(-0.769335\pi\)
0.507243 0.861803i \(-0.330665\pi\)
\(212\) −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 0.692700 0.721226i \(-0.256421\pi\)
−0.471871 + 0.881668i \(0.656421\pi\)
\(224\) −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 −0.598649 0.801012i \(-0.704295\pi\)
−0.816875 + 0.576815i \(0.804295\pi\)
\(228\) 0.307677 + 0.223540i 0.0203764 + 0.0148043i
\(229\) 8.82761 4.49789i 0.583345 0.297229i −0.137304 0.990529i \(-0.543844\pi\)
0.720649 + 0.693300i \(0.243844\pi\)
\(230\) 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 −0.197922 0.980218i \(-0.563419\pi\)
0.114669 + 0.993404i \(0.463419\pi\)
\(234\) −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 0.925415 + 0.378955i \(0.123716\pi\)
−0.997226 + 0.0744383i \(0.976284\pi\)
\(240\) 6.67399 + 42.1379i 0.430804 + 2.71999i
\(241\) 10.2597 3.33359i 0.660888 0.214735i 0.0406791 0.999172i \(-0.487048\pi\)
0.620209 + 0.784437i \(0.287048\pi\)
\(242\) 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 −0.135261 0.990810i \(-0.543187\pi\)
0.472955 + 0.881086i \(0.343187\pi\)
\(252\) −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 −0.959861 0.280477i \(-0.909507\pi\)
0.337281 0.941404i \(-0.390493\pi\)
\(258\) −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 −0.285507 0.958377i \(-0.592162\pi\)
0.607526 + 0.794300i \(0.292162\pi\)
\(264\) −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 0.195184 0.980767i \(-0.437470\pi\)
−0.872449 + 0.488705i \(0.837470\pi\)
\(270\) −51.2869 + 26.1320i −3.12122 + 1.59034i
\(271\) 12.8738 9.35335i 0.782026 0.568175i −0.123560 0.992337i \(-0.539431\pi\)
0.905586 + 0.424162i \(0.139431\pi\)
\(272\) 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 0.598762 + 0.800927i \(0.295659\pi\)
−0.955182 + 0.296020i \(0.904341\pi\)
\(278\) 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 0.979992 0.199036i \(-0.0637809\pi\)
−0.993533 + 0.113540i \(0.963781\pi\)
\(282\) 32.5768 10.5848i 1.93992 0.630318i
\(283\) −2.91195 8.96207i −0.173098 0.532740i 0.826444 0.563019i \(-0.190360\pi\)
−0.999541 + 0.0302793i \(0.990360\pi\)
\(284\) 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 0.992150 0.125055i \(-0.0399108\pi\)
−0.982235 + 0.187657i \(0.939911\pi\)
\(294\) −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 0.928615 + 0.371045i \(0.121000\pi\)
0.0659270 + 0.997824i \(0.479000\pi\)
\(308\) 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 −0.831709 0.555212i \(-0.812637\pi\)
−0.0396900 + 0.999212i \(0.512637\pi\)
\(312\) 7.07906 5.14324i 0.400773 0.291179i
\(313\) −0.736533 + 1.44553i −0.0416313 + 0.0817060i −0.910885 0.412660i \(-0.864600\pi\)
0.869254 + 0.494366i \(0.164600\pi\)
\(314\) 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 −0.999992 0.00400175i \(-0.998726\pi\)
0.584543 0.811363i \(-0.301274\pi\)
\(318\) 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 −0.999896 0.0144544i \(-0.995399\pi\)
0.0144544 + 0.999896i \(0.495399\pi\)
\(332\) −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 \(-0.746525\pi\)
0.699344 0.714785i \(-0.253475\pi\)
\(338\) 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 −0.301961 0.953320i \(-0.597641\pi\)
−0.581774 + 0.813351i \(0.697641\pi\)
\(348\) −14.4270 19.8570i −0.773366 1.06445i
\(349\) 5.08471 + 6.99851i 0.272178 + 0.374622i 0.923124 0.384503i \(-0.125627\pi\)
−0.650945 + 0.759125i \(0.725627\pi\)
\(350\) −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 −0.843713 0.536795i \(-0.819635\pi\)
0.249801 + 0.968297i \(0.419635\pi\)
\(354\) 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 0.687629 + 0.726062i \(0.258652\pi\)
−0.983072 + 0.183219i \(0.941348\pi\)
\(360\) 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 −0.291296 0.956633i \(-0.594087\pi\)
0.999827 0.0185766i \(-0.00591347\pi\)
\(368\) 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 0.998163 + 0.0605920i \(0.0192989\pi\)
−0.771915 + 0.635725i \(0.780701\pi\)
\(374\) −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 −0.0122385 + 0.999925i \(0.503896\pi\)
−0.577840 + 0.816150i \(0.696104\pi\)
\(380\) −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 0.570915 0.821009i \(-0.306589\pi\)
−0.821009 + 0.570915i \(0.806589\pi\)
\(384\) −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 0.842833 0.538175i \(-0.180886\pi\)
−0.772285 + 0.635276i \(0.780886\pi\)
\(390\) 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 0.257278 0.966337i \(-0.417174\pi\)
0.543301 + 0.839538i \(0.317174\pi\)
\(398\) −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 \(0.0380207\pi\)
−0.992875 + 0.119162i \(0.961979\pi\)
\(402\) −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 \(-0.936900\pi\)
0.980416 0.196939i \(-0.0631000\pi\)
\(420\) −3.99524 + 12.2961i −0.194948 + 0.599988i
\(421\) −8.01644 15.7331i −0.390697 0.766787i 0.608954 0.793206i \(-0.291590\pi\)
−0.999651 + 0.0264191i \(0.991590\pi\)
\(422\) 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 0.640720 0.767775i \(-0.278636\pi\)
−0.928191 + 0.372105i \(0.878636\pi\)
\(432\) −61.1537 9.68580i −2.94226 0.466008i
\(433\) 26.8766 + 19.5270i 1.29161 + 0.938406i 0.999837 0.0180823i \(-0.00575610\pi\)
0.291769 + 0.956489i \(0.405756\pi\)
\(434\) −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 −0.567436 0.823418i \(-0.692065\pi\)
−0.999689 + 0.0249274i \(0.992065\pi\)
\(440\) 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 0.907138 0.420834i \(-0.138262\pi\)
0.486530 + 0.873664i \(0.338262\pi\)
\(444\) −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 −0.167295 0.985907i \(-0.553503\pi\)
0.989350 0.145555i \(-0.0464969\pi\)
\(450\) 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 −0.999769 0.0214764i \(-0.993163\pi\)
0.944201 0.329371i \(-0.106837\pi\)
\(458\) −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 0.586770 + 0.809754i \(0.300399\pi\)
−0.950668 + 0.310210i \(0.899601\pi\)
\(462\) −2.74132 5.38014i −0.127538 0.250307i
\(463\) 13.1377 + 6.69397i 0.610559 + 0.311095i 0.731791 0.681529i \(-0.238685\pi\)
−0.121233 + 0.992624i \(0.538685\pi\)
\(464\) 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 −0.0908306 0.995866i \(-0.528952\pi\)
0.919057 + 0.394125i \(0.128952\pi\)
\(468\) 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 −0.504200 0.863587i \(-0.668213\pi\)
−0.212660 + 0.977126i \(0.568213\pi\)
\(480\) −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 0.181679 0.983358i \(-0.441847\pi\)
0.724985 + 0.688765i \(0.241847\pi\)
\(488\) 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 −0.563815 0.825901i \(-0.690667\pi\)
0.791437 0.611251i \(-0.209333\pi\)
\(500\) −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 −0.945321 0.326140i \(-0.894252\pi\)
0.291793 0.956482i \(-0.405748\pi\)
\(504\) −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 −0.918938 0.394403i \(-0.870951\pi\)
−0.221059 + 0.975260i \(0.570951\pi\)
\(510\) −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 0.761022 0.648726i \(-0.224698\pi\)
−0.0775127 + 0.996991i \(0.524698\pi\)
\(522\) 44.7602 + 87.8468i 1.95910 + 3.84495i
\(523\) 2.25075 6.92710i 0.0984185 0.302901i −0.889711 0.456524i \(-0.849094\pi\)
0.988130 + 0.153623i \(0.0490942\pi\)
\(524\) 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 −0.389453 0.921046i \(-0.627336\pi\)
−0.856451 + 0.516228i \(0.827336\pi\)
\(542\) 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 0.0174867 0.999847i \(-0.494434\pi\)
−0.999847 + 0.0174867i \(0.994434\pi\)
\(548\) 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 −0.854910 0.518776i \(-0.826388\pi\)
−0.0828053 + 0.996566i \(0.526388\pi\)
\(558\) 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 0.996680 + 0.0814196i \(0.0259454\pi\)
−0.519964 + 0.854188i \(0.674055\pi\)
\(564\) −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 −0.575455 0.817834i \(-0.695175\pi\)
0.0151580 + 0.999885i \(0.495175\pi\)
\(570\) 0.581495 + 1.78966i 0.0243562 + 0.0749606i
\(571\) −21.7176 + 21.7176i −0.908854 + 0.908854i −0.996180 0.0873260i \(-0.972168\pi\)
0.0873260 + 0.996180i \(0.472168\pi\)
\(572\) −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 −0.704905 0.709301i \(-0.749011\pi\)
0.709301 + 0.704905i \(0.249011\pi\)
\(578\) −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 0.178575 0.983926i \(-0.442851\pi\)
0.473885 + 0.880587i \(0.342851\pi\)
\(588\) −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 0.196221 0.980560i \(-0.437133\pi\)
−0.116392 + 0.993203i \(0.537133\pi\)
\(594\) 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 −0.235893 0.971779i \(-0.575801\pi\)
0.851322 + 0.524644i \(0.175801\pi\)
\(600\) −6.09445 + 11.9610i −0.248805 + 0.488307i
\(601\) 7.07160 + 7.07160i 0.288456 + 0.288456i 0.836470 0.548013i \(-0.184616\pi\)
−0.548013 + 0.836470i \(0.684616\pi\)
\(602\) 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 0.929331 0.369248i \(-0.120385\pi\)
0.534806 + 0.844975i \(0.320385\pi\)
\(608\) 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 −0.998686 0.0512520i \(-0.983679\pi\)
0.357354 + 0.933969i \(0.383679\pi\)
\(614\) −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 −0.910983 0.412445i \(-0.864675\pi\)
0.673768 + 0.738943i \(0.264675\pi\)
\(618\) −53.0113 + 53.0113i −2.13243 + 2.13243i
\(619\) 10.2987 + 31.6960i 0.413938 + 1.27397i 0.913197 + 0.407518i \(0.133606\pi\)
−0.499259 + 0.866453i \(0.666394\pi\)
\(620\) 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 −0.405117 0.914265i \(-0.632769\pi\)
0.744329 + 0.667813i \(0.232769\pi\)
\(632\) 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 −0.928879 0.370382i \(-0.879227\pi\)
0.845627 + 0.533774i \(0.179227\pi\)
\(642\) −36.4197 36.4197i −1.43737 1.43737i
\(643\) −29.6739 + 4.69989i −1.17023 + 0.185346i −0.711143 0.703048i \(-0.751822\pi\)
−0.459083 + 0.888393i \(0.651822\pi\)
\(644\) 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 \(0.105045\pi\)
−0.946039 + 0.324052i \(0.894955\pi\)
\(648\) 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 −0.0732110 0.997316i \(-0.523325\pi\)
0.997316 + 0.0732110i \(0.0233247\pi\)
\(654\) 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 −0.769766 0.638326i \(-0.779627\pi\)
0.638326 + 0.769766i \(0.279627\pi\)
\(660\) 1.71644 + 5.28267i 0.0668124 + 0.205627i
\(661\) 12.2982 3.99593i 0.478345 0.155424i −0.0599133 0.998204i \(-0.519082\pi\)
0.538258 + 0.842780i \(0.319082\pi\)
\(662\) −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 −0.341370 0.939929i \(-0.610891\pi\)
0.559766 + 0.828651i \(0.310891\pi\)
\(674\) 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 −0.994276 0.106843i \(-0.965926\pi\)
0.205634 0.978629i \(-0.434074\pi\)
\(678\) −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 0.959355 0.282201i \(-0.0910645\pi\)
−0.282201 + 0.959355i \(0.591065\pi\)
\(684\) 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 0.930891 + 0.365298i \(0.119033\pi\)
−0.772446 + 0.635080i \(0.780967\pi\)
\(692\) 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 0.996001 + 0.0893399i \(0.0284757\pi\)
−0.753269 + 0.657712i \(0.771524\pi\)
\(702\) −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 0.594872 0.803820i \(-0.297203\pi\)
−0.300647 + 0.953736i \(0.597203\pi\)
\(710\) 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 0.392171 0.919892i \(-0.371724\pi\)
0.0887143 + 0.996057i \(0.471724\pi\)
\(720\) 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 −0.997685 0.0680111i \(-0.978335\pi\)
0.531402 0.847120i \(-0.321665\pi\)
\(728\) −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 −0.705165 0.709043i \(-0.749127\pi\)
−0.153725 + 0.988114i \(0.549127\pi\)
\(734\) 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 −0.207507 0.978234i \(-0.566535\pi\)
0.407115 + 0.913377i \(0.366535\pi\)
\(744\) 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 −0.363195 0.931713i \(-0.618314\pi\)
−0.0575040 + 0.998345i \(0.518314\pi\)
\(752\) −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 0.801027 0.598628i \(-0.204287\pi\)
0.576836 + 0.816860i \(0.304287\pi\)
\(758\) −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 0.992415 + 0.122935i \(0.0392305\pi\)
0.423591 + 0.905854i \(0.360769\pi\)
\(762\) 29.9991 15.2853i 1.08675 0.553728i
\(763\) 3.07495 2.23408i 0.111321 0.0808792i
\(764\) 9.53299 18.7095i