Properties

Label 64.2.i.a.13.1
Level $64$
Weight $2$
Character 64.13
Analytic conductor $0.511$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 64 = 2^{6} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 64.i (of order \(16\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.511042572936\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(7\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 13.1
Character \(\chi\) \(=\) 64.13
Dual form 64.2.i.a.5.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.33595 - 0.463928i) q^{2} +(-1.31138 + 0.876237i) q^{3} +(1.56954 + 1.23957i) q^{4} +(3.52249 - 0.700667i) q^{5} +(2.15846 - 0.562226i) q^{6} +(1.02503 + 2.47464i) q^{7} +(-1.52176 - 2.38416i) q^{8} +(-0.196120 + 0.473476i) q^{9} +O(q^{10})\) \(q+(-1.33595 - 0.463928i) q^{2} +(-1.31138 + 0.876237i) q^{3} +(1.56954 + 1.23957i) q^{4} +(3.52249 - 0.700667i) q^{5} +(2.15846 - 0.562226i) q^{6} +(1.02503 + 2.47464i) q^{7} +(-1.52176 - 2.38416i) q^{8} +(-0.196120 + 0.473476i) q^{9} +(-5.03094 - 0.698122i) q^{10} +(1.67900 - 2.51280i) q^{11} +(-3.14443 - 0.250260i) q^{12} +(-4.41643 - 0.878483i) q^{13} +(-0.221337 - 3.78154i) q^{14} +(-4.00538 + 4.00538i) q^{15} +(0.926926 + 3.89112i) q^{16} +(1.12567 + 1.12567i) q^{17} +(0.481666 - 0.541556i) q^{18} +(0.432994 - 2.17681i) q^{19} +(6.39722 + 3.26665i) q^{20} +(-3.51257 - 2.34703i) q^{21} +(-3.40882 + 2.57804i) q^{22} +(-4.52287 - 1.87343i) q^{23} +(4.08471 + 1.79312i) q^{24} +(7.29760 - 3.02276i) q^{25} +(5.49259 + 3.22252i) q^{26} +(-1.08077 - 5.43340i) q^{27} +(-1.45867 + 5.15465i) q^{28} +(-3.43450 - 5.14009i) q^{29} +(7.20920 - 3.49279i) q^{30} +2.88548i q^{31} +(0.566869 - 5.62838i) q^{32} +4.76643i q^{33} +(-0.981609 - 2.02606i) q^{34} +(5.34455 + 7.99868i) q^{35} +(-0.894726 + 0.500036i) q^{36} +(1.20408 + 6.05333i) q^{37} +(-1.58834 + 2.70724i) q^{38} +(6.56139 - 2.71782i) q^{39} +(-7.03090 - 7.33194i) q^{40} +(-3.20440 - 1.32731i) q^{41} +(3.60378 + 4.76510i) q^{42} +(-2.16349 - 1.44560i) q^{43} +(5.75005 - 1.86270i) q^{44} +(-0.359082 + 1.80523i) q^{45} +(5.17320 + 4.60110i) q^{46} +(-2.37708 - 2.37708i) q^{47} +(-4.62510 - 4.29054i) q^{48} +(-0.123405 + 0.123405i) q^{49} +(-11.1516 + 0.652714i) q^{50} +(-2.46253 - 0.489827i) q^{51} +(-5.84283 - 6.85330i) q^{52} +(-3.20051 + 4.78991i) q^{53} +(-1.07684 + 7.76016i) q^{54} +(4.15361 - 10.0277i) q^{55} +(4.34009 - 6.20965i) q^{56} +(1.33958 + 3.23403i) q^{57} +(2.20370 + 8.46029i) q^{58} +(1.01300 - 0.201498i) q^{59} +(-11.2516 + 1.32166i) q^{60} +(-2.23513 + 1.49347i) q^{61} +(1.33866 - 3.85487i) q^{62} -1.37271 q^{63} +(-3.36847 + 7.25627i) q^{64} -16.1724 q^{65} +(2.21128 - 6.36773i) q^{66} +(12.1226 - 8.10007i) q^{67} +(0.371437 + 3.16212i) q^{68} +(7.57278 - 1.50632i) q^{69} +(-3.42926 - 13.1654i) q^{70} +(4.63617 + 11.1927i) q^{71} +(1.42729 - 0.252936i) q^{72} +(3.99984 - 9.65646i) q^{73} +(1.19971 - 8.64558i) q^{74} +(-6.92128 + 10.3584i) q^{75} +(3.37791 - 2.87987i) q^{76} +(7.93928 + 1.57922i) q^{77} +(-10.0266 + 0.586865i) q^{78} +(1.05698 - 1.05698i) q^{79} +(5.99146 + 13.0570i) q^{80} +(5.09110 + 5.09110i) q^{81} +(3.66516 + 3.25983i) q^{82} +(-1.67409 + 8.41620i) q^{83} +(-2.60383 - 8.03785i) q^{84} +(4.75386 + 3.17643i) q^{85} +(2.21967 + 2.93496i) q^{86} +(9.00788 + 3.73119i) q^{87} +(-8.54595 - 0.179121i) q^{88} +(-5.40505 + 2.23885i) q^{89} +(1.31721 - 2.24511i) q^{90} +(-2.35304 - 11.8295i) q^{91} +(-4.77658 - 8.54685i) q^{92} +(-2.52837 - 3.78397i) q^{93} +(2.07288 + 4.27847i) q^{94} -7.97117i q^{95} +(4.18841 + 7.87767i) q^{96} +11.0691i q^{97} +(0.222115 - 0.107613i) q^{98} +(0.860463 + 1.28777i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 8q^{2} - 8q^{3} - 8q^{4} - 8q^{5} - 8q^{6} - 8q^{7} - 8q^{8} - 8q^{9} + O(q^{10}) \) \( 56q - 8q^{2} - 8q^{3} - 8q^{4} - 8q^{5} - 8q^{6} - 8q^{7} - 8q^{8} - 8q^{9} - 8q^{10} - 8q^{11} - 8q^{12} - 8q^{13} - 8q^{14} - 8q^{15} - 8q^{16} - 8q^{17} - 8q^{18} - 8q^{19} - 8q^{20} - 8q^{21} - 8q^{23} + 32q^{24} - 8q^{25} + 32q^{26} - 8q^{27} + 32q^{28} - 8q^{29} + 72q^{30} + 32q^{32} + 32q^{34} - 8q^{35} + 72q^{36} - 8q^{37} + 32q^{38} - 8q^{39} + 32q^{40} - 8q^{41} + 32q^{42} - 8q^{43} - 8q^{45} - 8q^{46} - 8q^{47} - 8q^{48} - 8q^{49} - 32q^{50} + 24q^{51} - 56q^{52} - 8q^{53} - 72q^{54} + 56q^{55} - 64q^{56} - 8q^{57} - 80q^{58} + 56q^{59} - 104q^{60} - 8q^{61} - 40q^{62} + 64q^{63} - 104q^{64} - 16q^{65} - 88q^{66} + 72q^{67} - 56q^{68} - 8q^{69} - 104q^{70} + 56q^{71} - 80q^{72} - 8q^{73} - 64q^{74} + 56q^{75} - 72q^{76} - 8q^{77} - 32q^{78} + 24q^{79} + 32q^{80} - 8q^{81} + 72q^{82} - 8q^{83} + 104q^{84} - 8q^{85} + 96q^{86} - 8q^{87} + 72q^{88} - 8q^{89} + 136q^{90} - 8q^{91} + 144q^{92} + 16q^{93} + 88q^{94} + 128q^{96} + 128q^{98} + 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/64\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(63\)
\(\chi(n)\) \(e\left(\frac{15}{16}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.33595 0.463928i −0.944662 0.328046i
\(3\) −1.31138 + 0.876237i −0.757127 + 0.505896i −0.873210 0.487344i \(-0.837966\pi\)
0.116084 + 0.993239i \(0.462966\pi\)
\(4\) 1.56954 + 1.23957i 0.784771 + 0.619786i
\(5\) 3.52249 0.700667i 1.57531 0.313348i 0.671405 0.741091i \(-0.265691\pi\)
0.903900 + 0.427743i \(0.140691\pi\)
\(6\) 2.15846 0.562226i 0.881186 0.229528i
\(7\) 1.02503 + 2.47464i 0.387425 + 0.935326i 0.990484 + 0.137629i \(0.0439482\pi\)
−0.603059 + 0.797696i \(0.706052\pi\)
\(8\) −1.52176 2.38416i −0.538025 0.842929i
\(9\) −0.196120 + 0.473476i −0.0653734 + 0.157825i
\(10\) −5.03094 0.698122i −1.59092 0.220766i
\(11\) 1.67900 2.51280i 0.506237 0.757636i −0.487043 0.873378i \(-0.661924\pi\)
0.993279 + 0.115742i \(0.0369244\pi\)
\(12\) −3.14443 0.250260i −0.907718 0.0722438i
\(13\) −4.41643 0.878483i −1.22490 0.243647i −0.460070 0.887882i \(-0.652176\pi\)
−0.764827 + 0.644235i \(0.777176\pi\)
\(14\) −0.221337 3.78154i −0.0591549 1.01066i
\(15\) −4.00538 + 4.00538i −1.03418 + 1.03418i
\(16\) 0.926926 + 3.89112i 0.231731 + 0.972780i
\(17\) 1.12567 + 1.12567i 0.273014 + 0.273014i 0.830312 0.557298i \(-0.188162\pi\)
−0.557298 + 0.830312i \(0.688162\pi\)
\(18\) 0.481666 0.541556i 0.113530 0.127646i
\(19\) 0.432994 2.17681i 0.0993357 0.499394i −0.898800 0.438359i \(-0.855560\pi\)
0.998136 0.0610352i \(-0.0194402\pi\)
\(20\) 6.39722 + 3.26665i 1.43046 + 0.730445i
\(21\) −3.51257 2.34703i −0.766507 0.512163i
\(22\) −3.40882 + 2.57804i −0.726762 + 0.549641i
\(23\) −4.52287 1.87343i −0.943084 0.390638i −0.142457 0.989801i \(-0.545500\pi\)
−0.800627 + 0.599163i \(0.795500\pi\)
\(24\) 4.08471 + 1.79312i 0.833787 + 0.366020i
\(25\) 7.29760 3.02276i 1.45952 0.604553i
\(26\) 5.49259 + 3.22252i 1.07719 + 0.631988i
\(27\) −1.08077 5.43340i −0.207994 1.04566i
\(28\) −1.45867 + 5.15465i −0.275662 + 0.974137i
\(29\) −3.43450 5.14009i −0.637771 0.954492i −0.999751 0.0223059i \(-0.992899\pi\)
0.361980 0.932186i \(-0.382101\pi\)
\(30\) 7.20920 3.49279i 1.31621 0.637694i
\(31\) 2.88548i 0.518248i 0.965844 + 0.259124i \(0.0834339\pi\)
−0.965844 + 0.259124i \(0.916566\pi\)
\(32\) 0.566869 5.62838i 0.100209 0.994966i
\(33\) 4.76643i 0.829730i
\(34\) −0.981609 2.02606i −0.168345 0.347467i
\(35\) 5.34455 + 7.99868i 0.903394 + 1.35202i
\(36\) −0.894726 + 0.500036i −0.149121 + 0.0833393i
\(37\) 1.20408 + 6.05333i 0.197950 + 0.995162i 0.944169 + 0.329461i \(0.106867\pi\)
−0.746219 + 0.665700i \(0.768133\pi\)
\(38\) −1.58834 + 2.70724i −0.257663 + 0.439172i
\(39\) 6.56139 2.71782i 1.05066 0.435199i
\(40\) −7.03090 7.33194i −1.11168 1.15928i
\(41\) −3.20440 1.32731i −0.500443 0.207290i 0.118159 0.992995i \(-0.462301\pi\)
−0.618602 + 0.785704i \(0.712301\pi\)
\(42\) 3.60378 + 4.76510i 0.556076 + 0.735271i
\(43\) −2.16349 1.44560i −0.329929 0.220452i 0.379561 0.925167i \(-0.376075\pi\)
−0.709491 + 0.704715i \(0.751075\pi\)
\(44\) 5.75005 1.86270i 0.866852 0.280813i
\(45\) −0.359082 + 1.80523i −0.0535288 + 0.269108i
\(46\) 5.17320 + 4.60110i 0.762747 + 0.678396i
\(47\) −2.37708 2.37708i −0.346733 0.346733i 0.512158 0.858891i \(-0.328846\pi\)
−0.858891 + 0.512158i \(0.828846\pi\)
\(48\) −4.62510 4.29054i −0.667575 0.619285i
\(49\) −0.123405 + 0.123405i −0.0176293 + 0.0176293i
\(50\) −11.1516 + 0.652714i −1.57707 + 0.0923077i
\(51\) −2.46253 0.489827i −0.344823 0.0685895i
\(52\) −5.84283 6.85330i −0.810255 0.950382i
\(53\) −3.20051 + 4.78991i −0.439624 + 0.657944i −0.983434 0.181264i \(-0.941981\pi\)
0.543810 + 0.839208i \(0.316981\pi\)
\(54\) −1.07684 + 7.76016i −0.146540 + 1.05602i
\(55\) 4.15361 10.0277i 0.560073 1.35214i
\(56\) 4.34009 6.20965i 0.579969 0.829800i
\(57\) 1.33958 + 3.23403i 0.177432 + 0.428358i
\(58\) 2.20370 + 8.46029i 0.289360 + 1.11089i
\(59\) 1.01300 0.201498i 0.131881 0.0262329i −0.128708 0.991683i \(-0.541083\pi\)
0.260590 + 0.965450i \(0.416083\pi\)
\(60\) −11.2516 + 1.32166i −1.45257 + 0.170625i
\(61\) −2.23513 + 1.49347i −0.286179 + 0.191219i −0.690371 0.723455i \(-0.742553\pi\)
0.404192 + 0.914674i \(0.367553\pi\)
\(62\) 1.33866 3.85487i 0.170010 0.489569i
\(63\) −1.37271 −0.172945
\(64\) −3.36847 + 7.25627i −0.421059 + 0.907033i
\(65\) −16.1724 −2.00593
\(66\) 2.21128 6.36773i 0.272190 0.783814i
\(67\) 12.1226 8.10007i 1.48101 0.989581i 0.487840 0.872933i \(-0.337785\pi\)
0.993173 0.116648i \(-0.0372149\pi\)
\(68\) 0.371437 + 3.16212i 0.0450433 + 0.383464i
\(69\) 7.57278 1.50632i 0.911656 0.181340i
\(70\) −3.42926 13.1654i −0.409875 1.57356i
\(71\) 4.63617 + 11.1927i 0.550212 + 1.32833i 0.917320 + 0.398151i \(0.130348\pi\)
−0.367108 + 0.930178i \(0.619652\pi\)
\(72\) 1.42729 0.252936i 0.168208 0.0298088i
\(73\) 3.99984 9.65646i 0.468146 1.13020i −0.496826 0.867850i \(-0.665501\pi\)
0.964972 0.262353i \(-0.0844986\pi\)
\(74\) 1.19971 8.64558i 0.139463 1.00503i
\(75\) −6.92128 + 10.3584i −0.799200 + 1.19609i
\(76\) 3.37791 2.87987i 0.387473 0.330343i
\(77\) 7.93928 + 1.57922i 0.904765 + 0.179969i
\(78\) −10.0266 + 0.586865i −1.13529 + 0.0664494i
\(79\) 1.05698 1.05698i 0.118919 0.118919i −0.645143 0.764062i \(-0.723202\pi\)
0.764062 + 0.645143i \(0.223202\pi\)
\(80\) 5.99146 + 13.0570i 0.669866 + 1.45981i
\(81\) 5.09110 + 5.09110i 0.565677 + 0.565677i
\(82\) 3.66516 + 3.25983i 0.404749 + 0.359988i
\(83\) −1.67409 + 8.41620i −0.183755 + 0.923798i 0.773333 + 0.634000i \(0.218588\pi\)
−0.957088 + 0.289798i \(0.906412\pi\)
\(84\) −2.60383 8.03785i −0.284101 0.877001i
\(85\) 4.75386 + 3.17643i 0.515629 + 0.344532i
\(86\) 2.21967 + 2.93496i 0.239353 + 0.316484i
\(87\) 9.00788 + 3.73119i 0.965747 + 0.400025i
\(88\) −8.54595 0.179121i −0.911002 0.0190944i
\(89\) −5.40505 + 2.23885i −0.572935 + 0.237317i −0.650290 0.759686i \(-0.725352\pi\)
0.0773551 + 0.997004i \(0.475352\pi\)
\(90\) 1.31721 2.24511i 0.138846 0.236656i
\(91\) −2.35304 11.8295i −0.246666 1.24007i
\(92\) −4.77658 8.54685i −0.497993 0.891071i
\(93\) −2.52837 3.78397i −0.262180 0.392380i
\(94\) 2.07288 + 4.27847i 0.213801 + 0.441290i
\(95\) 7.97117i 0.817825i
\(96\) 4.18841 + 7.87767i 0.427478 + 0.804011i
\(97\) 11.0691i 1.12389i 0.827173 + 0.561947i \(0.189948\pi\)
−0.827173 + 0.561947i \(0.810052\pi\)
\(98\) 0.222115 0.107613i 0.0224370 0.0108705i
\(99\) 0.860463 + 1.28777i 0.0864798 + 0.129426i
\(100\) 15.2008 + 4.30154i 1.52008 + 0.430154i
\(101\) −2.42413 12.1869i −0.241210 1.21264i −0.891522 0.452977i \(-0.850362\pi\)
0.650313 0.759667i \(-0.274638\pi\)
\(102\) 3.06258 + 1.79682i 0.303240 + 0.177912i
\(103\) −7.43691 + 3.08047i −0.732781 + 0.303528i −0.717694 0.696358i \(-0.754802\pi\)
−0.0150867 + 0.999886i \(0.504802\pi\)
\(104\) 4.62632 + 11.8663i 0.453648 + 1.16359i
\(105\) −14.0175 5.80623i −1.36797 0.566630i
\(106\) 6.49790 4.91428i 0.631132 0.477317i
\(107\) 5.45543 + 3.64520i 0.527396 + 0.352395i 0.790588 0.612349i \(-0.209775\pi\)
−0.263192 + 0.964744i \(0.584775\pi\)
\(108\) 5.03877 9.86763i 0.484856 0.949514i
\(109\) −2.09534 + 10.5340i −0.200697 + 1.00897i 0.740743 + 0.671789i \(0.234474\pi\)
−0.941439 + 0.337182i \(0.890526\pi\)
\(110\) −10.2012 + 11.4696i −0.972643 + 1.09358i
\(111\) −6.88317 6.88317i −0.653321 0.653321i
\(112\) −8.67899 + 6.28232i −0.820087 + 0.593623i
\(113\) 10.9546 10.9546i 1.03052 1.03052i 0.0310050 0.999519i \(-0.490129\pi\)
0.999519 0.0310050i \(-0.00987077\pi\)
\(114\) −0.289259 4.94199i −0.0270916 0.462859i
\(115\) −17.2444 3.43013i −1.60805 0.319861i
\(116\) 0.980919 12.3249i 0.0910761 1.14434i
\(117\) 1.28209 1.91879i 0.118529 0.177392i
\(118\) −1.44680 0.200767i −0.133189 0.0184821i
\(119\) −1.63178 + 3.93945i −0.149585 + 0.361129i
\(120\) 15.6447 + 3.45424i 1.42816 + 0.315327i
\(121\) 0.714404 + 1.72472i 0.0649458 + 0.156793i
\(122\) 3.67889 0.958262i 0.333071 0.0867570i
\(123\) 5.36523 1.06721i 0.483766 0.0962271i
\(124\) −3.57676 + 4.52889i −0.321203 + 0.406706i
\(125\) 8.65665 5.78419i 0.774274 0.517353i
\(126\) 1.83388 + 0.636839i 0.163375 + 0.0567341i
\(127\) 13.2036 1.17163 0.585815 0.810445i \(-0.300775\pi\)
0.585815 + 0.810445i \(0.300775\pi\)
\(128\) 7.86650 8.13131i 0.695307 0.718713i
\(129\) 4.10385 0.361324
\(130\) 21.6055 + 7.50280i 1.89493 + 0.658039i
\(131\) −17.0393 + 11.3853i −1.48873 + 0.994739i −0.496814 + 0.867857i \(0.665497\pi\)
−0.991918 + 0.126881i \(0.959503\pi\)
\(132\) −5.90833 + 7.48112i −0.514255 + 0.651148i
\(133\) 5.83065 1.15979i 0.505581 0.100566i
\(134\) −19.9531 + 5.19730i −1.72368 + 0.448978i
\(135\) −7.61400 18.3818i −0.655309 1.58205i
\(136\) 0.970774 4.39677i 0.0832432 0.377020i
\(137\) 2.61344 6.30941i 0.223281 0.539049i −0.772050 0.635561i \(-0.780769\pi\)
0.995332 + 0.0965122i \(0.0307687\pi\)
\(138\) −10.8157 1.50085i −0.920694 0.127761i
\(139\) −9.07641 + 13.5838i −0.769851 + 1.15216i 0.214634 + 0.976695i \(0.431144\pi\)
−0.984485 + 0.175469i \(0.943856\pi\)
\(140\) −1.52644 + 19.1792i −0.129008 + 1.62094i
\(141\) 5.20015 + 1.03437i 0.437932 + 0.0871100i
\(142\) −1.00110 17.1038i −0.0840105 1.43532i
\(143\) −9.62262 + 9.62262i −0.804684 + 0.804684i
\(144\) −2.02414 0.324250i −0.168678 0.0270208i
\(145\) −15.6995 15.6995i −1.30377 1.30377i
\(146\) −9.82350 + 11.0449i −0.812998 + 0.914086i
\(147\) 0.0536992 0.269964i 0.00442903 0.0222663i
\(148\) −5.61368 + 10.9935i −0.461442 + 0.903661i
\(149\) −1.58289 1.05765i −0.129675 0.0866461i 0.489041 0.872261i \(-0.337347\pi\)
−0.618716 + 0.785615i \(0.712347\pi\)
\(150\) 14.0521 10.6274i 1.14735 0.867723i
\(151\) −12.8207 5.31052i −1.04334 0.432164i −0.205828 0.978588i \(-0.565989\pi\)
−0.837509 + 0.546424i \(0.815989\pi\)
\(152\) −5.84878 + 2.28026i −0.474399 + 0.184953i
\(153\) −0.753741 + 0.312210i −0.0609364 + 0.0252407i
\(154\) −9.87387 5.79302i −0.795659 0.466815i
\(155\) 2.02176 + 10.1641i 0.162392 + 0.816399i
\(156\) 13.6673 + 3.86758i 1.09426 + 0.309654i
\(157\) 1.92287 + 2.87778i 0.153462 + 0.229672i 0.900232 0.435410i \(-0.143397\pi\)
−0.746770 + 0.665082i \(0.768397\pi\)
\(158\) −1.90243 + 0.921710i −0.151349 + 0.0733273i
\(159\) 9.08580i 0.720551i
\(160\) −1.94683 20.2231i −0.153910 1.59878i
\(161\) 13.1128i 1.03343i
\(162\) −4.43957 9.16337i −0.348805 0.719942i
\(163\) 1.50597 + 2.25384i 0.117956 + 0.176534i 0.885749 0.464164i \(-0.153645\pi\)
−0.767793 + 0.640698i \(0.778645\pi\)
\(164\) −3.38415 6.05535i −0.264258 0.472843i
\(165\) 3.33968 + 16.7897i 0.259994 + 1.30708i
\(166\) 6.14101 10.4670i 0.476635 0.812396i
\(167\) 1.45504 0.602695i 0.112594 0.0466380i −0.325675 0.945482i \(-0.605592\pi\)
0.438269 + 0.898844i \(0.355592\pi\)
\(168\) −0.250389 + 11.9462i −0.0193179 + 0.921667i
\(169\) 6.72270 + 2.78464i 0.517131 + 0.214203i
\(170\) −4.87730 6.44901i −0.374072 0.494616i
\(171\) 0.945748 + 0.631929i 0.0723232 + 0.0483248i
\(172\) −1.60377 4.95073i −0.122286 0.377490i
\(173\) −1.03690 + 5.21283i −0.0788338 + 0.396324i 0.921141 + 0.389229i \(0.127258\pi\)
−0.999975 + 0.00709516i \(0.997742\pi\)
\(174\) −10.3031 9.16370i −0.781077 0.694698i
\(175\) 14.9605 + 14.9605i 1.13091 + 1.13091i
\(176\) 11.3339 + 4.20400i 0.854324 + 0.316889i
\(177\) −1.15187 + 1.15187i −0.0865799 + 0.0865799i
\(178\) 8.25956 0.483440i 0.619080 0.0362354i
\(179\) 11.4548 + 2.27850i 0.856171 + 0.170303i 0.603612 0.797279i \(-0.293728\pi\)
0.252559 + 0.967581i \(0.418728\pi\)
\(180\) −2.80131 + 2.38827i −0.208797 + 0.178011i
\(181\) −2.32452 + 3.47889i −0.172780 + 0.258584i −0.907746 0.419520i \(-0.862198\pi\)
0.734966 + 0.678104i \(0.237198\pi\)
\(182\) −2.34450 + 16.8954i −0.173786 + 1.25237i
\(183\) 1.62248 3.91701i 0.119937 0.289554i
\(184\) 2.41617 + 13.6342i 0.178122 + 1.00513i
\(185\) 8.48274 + 20.4791i 0.623663 + 1.50566i
\(186\) 1.62229 + 6.22819i 0.118952 + 0.456673i
\(187\) 4.71856 0.938579i 0.345055 0.0686357i
\(188\) −0.784368 6.67750i −0.0572059 0.487007i
\(189\) 12.3379 8.24390i 0.897448 0.599656i
\(190\) −3.69805 + 10.6491i −0.268285 + 0.772568i
\(191\) 17.8728 1.29323 0.646617 0.762815i \(-0.276183\pi\)
0.646617 + 0.762815i \(0.276183\pi\)
\(192\) −1.94086 12.4673i −0.140069 0.899751i
\(193\) 20.0233 1.44131 0.720654 0.693295i \(-0.243842\pi\)
0.720654 + 0.693295i \(0.243842\pi\)
\(194\) 5.13525 14.7878i 0.368689 1.06170i
\(195\) 21.2081 14.1708i 1.51875 1.01479i
\(196\) −0.346660 + 0.0407202i −0.0247614 + 0.00290859i
\(197\) −16.3511 + 3.25244i −1.16497 + 0.231727i −0.739444 0.673219i \(-0.764911\pi\)
−0.425527 + 0.904946i \(0.639911\pi\)
\(198\) −0.552105 2.11960i −0.0392364 0.150633i
\(199\) 5.64872 + 13.6372i 0.400427 + 0.966716i 0.987562 + 0.157227i \(0.0502555\pi\)
−0.587136 + 0.809489i \(0.699744\pi\)
\(200\) −18.3120 12.7987i −1.29485 0.905007i
\(201\) −8.79979 + 21.2446i −0.620689 + 1.49848i
\(202\) −2.41533 + 17.4058i −0.169942 + 1.22467i
\(203\) 9.19941 13.7679i 0.645672 0.966317i
\(204\) −3.25786 3.82128i −0.228096 0.267543i
\(205\) −12.2175 2.43021i −0.853305 0.169733i
\(206\) 11.3645 0.665175i 0.791801 0.0463449i
\(207\) 1.77405 1.77405i 0.123305 0.123305i
\(208\) −0.675422 17.9992i −0.0468321 1.24802i
\(209\) −4.74288 4.74288i −0.328072 0.328072i
\(210\) 16.0330 + 14.2600i 1.10638 + 0.984031i
\(211\) 2.18718 10.9957i 0.150572 0.756975i −0.829527 0.558466i \(-0.811390\pi\)
0.980099 0.198509i \(-0.0636099\pi\)
\(212\) −10.9608 + 3.55070i −0.752789 + 0.243863i
\(213\) −15.8872 10.6155i −1.08858 0.727363i
\(214\) −5.59709 7.40074i −0.382609 0.505904i
\(215\) −8.63376 3.57622i −0.588817 0.243896i
\(216\) −11.3094 + 10.8451i −0.769509 + 0.737914i
\(217\) −7.14053 + 2.95771i −0.484731 + 0.200782i
\(218\) 7.68627 13.1008i 0.520580 0.887298i
\(219\) 3.21604 + 16.1681i 0.217320 + 1.09254i
\(220\) 18.9493 10.5902i 1.27756 0.713992i
\(221\) −3.98255 5.96030i −0.267895 0.400933i
\(222\) 6.00230 + 12.3889i 0.402848 + 0.831487i
\(223\) 7.50358i 0.502477i 0.967925 + 0.251239i \(0.0808379\pi\)
−0.967925 + 0.251239i \(0.919162\pi\)
\(224\) 14.5093 4.36646i 0.969441 0.291746i
\(225\) 4.04806i 0.269871i
\(226\) −19.7170 + 9.55271i −1.31156 + 0.635437i
\(227\) −14.7739 22.1107i −0.980580 1.46754i −0.881343 0.472478i \(-0.843360\pi\)
−0.0992374 0.995064i \(-0.531640\pi\)
\(228\) −1.90629 + 6.73646i −0.126247 + 0.446133i
\(229\) −2.93523 14.7564i −0.193966 0.975131i −0.947994 0.318289i \(-0.896892\pi\)
0.754028 0.656842i \(-0.228108\pi\)
\(230\) 21.4464 + 12.5826i 1.41413 + 0.829675i
\(231\) −11.7952 + 4.88573i −0.776067 + 0.321458i
\(232\) −7.02833 + 16.0104i −0.461432 + 1.05114i
\(233\) 17.7995 + 7.37280i 1.16609 + 0.483008i 0.879897 0.475165i \(-0.157612\pi\)
0.286189 + 0.958173i \(0.407612\pi\)
\(234\) −2.60299 + 1.96861i −0.170163 + 0.128692i
\(235\) −10.0388 6.70771i −0.654859 0.437563i
\(236\) 1.83972 + 0.939427i 0.119756 + 0.0611515i
\(237\) −0.459937 + 2.31226i −0.0298761 + 0.150198i
\(238\) 4.00760 4.50590i 0.259774 0.292074i
\(239\) −6.71028 6.71028i −0.434052 0.434052i 0.455952 0.890004i \(-0.349299\pi\)
−0.890004 + 0.455952i \(0.849299\pi\)
\(240\) −19.2981 11.8727i −1.24569 0.766380i
\(241\) 2.62074 2.62074i 0.168816 0.168816i −0.617643 0.786459i \(-0.711912\pi\)
0.786459 + 0.617643i \(0.211912\pi\)
\(242\) −0.154263 2.63558i −0.00991641 0.169422i
\(243\) 5.16281 + 1.02695i 0.331194 + 0.0658787i
\(244\) −5.35939 0.426545i −0.343100 0.0273067i
\(245\) −0.348228 + 0.521160i −0.0222475 + 0.0332957i
\(246\) −7.66280 1.06333i −0.488562 0.0677957i
\(247\) −3.82458 + 9.23335i −0.243352 + 0.587504i
\(248\) 6.87947 4.39103i 0.436847 0.278830i
\(249\) −5.17922 12.5037i −0.328220 0.792393i
\(250\) −14.2483 + 3.71135i −0.901143 + 0.234726i
\(251\) 3.80701 0.757262i 0.240296 0.0477979i −0.0734728 0.997297i \(-0.523408\pi\)
0.313769 + 0.949499i \(0.398408\pi\)
\(252\) −2.15453 1.70157i −0.135722 0.107189i
\(253\) −12.3014 + 8.21956i −0.773385 + 0.516759i
\(254\) −17.6394 6.12551i −1.10679 0.384349i
\(255\) −9.01743 −0.564693
\(256\) −14.2816 + 7.21356i −0.892601 + 0.450847i
\(257\) −4.79248 −0.298947 −0.149473 0.988766i \(-0.547758\pi\)
−0.149473 + 0.988766i \(0.547758\pi\)
\(258\) −5.48255 1.90389i −0.341329 0.118531i
\(259\) −13.7456 + 9.18451i −0.854110 + 0.570698i
\(260\) −25.3832 20.0468i −1.57420 1.24325i
\(261\) 3.10729 0.618078i 0.192336 0.0382581i
\(262\) 28.0457 7.30522i 1.73267 0.451318i
\(263\) 5.53072 + 13.3523i 0.341039 + 0.823340i 0.997611 + 0.0690772i \(0.0220055\pi\)
−0.656573 + 0.754263i \(0.727995\pi\)
\(264\) 11.3640 7.25338i 0.699403 0.446415i
\(265\) −7.91764 + 19.1149i −0.486377 + 1.17422i
\(266\) −8.32753 1.15558i −0.510594 0.0708529i
\(267\) 5.12633 7.67209i 0.313726 0.469524i
\(268\) 29.0676 + 2.31344i 1.77558 + 0.141316i
\(269\) 12.3558 + 2.45771i 0.753344 + 0.149849i 0.556801 0.830646i \(-0.312029\pi\)
0.196543 + 0.980495i \(0.437029\pi\)
\(270\) 1.64411 + 28.0896i 0.100057 + 1.70948i
\(271\) 1.16587 1.16587i 0.0708213 0.0708213i −0.670809 0.741630i \(-0.734053\pi\)
0.741630 + 0.670809i \(0.234053\pi\)
\(272\) −3.33669 + 5.42351i −0.202317 + 0.328848i
\(273\) 13.4512 + 13.4512i 0.814105 + 0.814105i
\(274\) −6.41855 + 7.21663i −0.387759 + 0.435972i
\(275\) 4.65705 23.4126i 0.280831 1.41183i
\(276\) 13.7530 + 7.02277i 0.827833 + 0.422721i
\(277\) −8.28458 5.53558i −0.497772 0.332601i 0.281211 0.959646i \(-0.409264\pi\)
−0.778983 + 0.627045i \(0.784264\pi\)
\(278\) 18.4276 13.9365i 1.10521 0.835858i
\(279\) −1.36621 0.565902i −0.0817927 0.0338797i
\(280\) 10.9370 24.9144i 0.653613 1.48892i
\(281\) −1.78965 + 0.741299i −0.106762 + 0.0442222i −0.435425 0.900225i \(-0.643402\pi\)
0.328663 + 0.944447i \(0.393402\pi\)
\(282\) −6.46728 3.79437i −0.385121 0.225951i
\(283\) −2.18457 10.9826i −0.129859 0.652845i −0.989801 0.142454i \(-0.954501\pi\)
0.859943 0.510391i \(-0.170499\pi\)
\(284\) −6.59749 + 23.3143i −0.391489 + 1.38345i
\(285\) 6.98464 + 10.4532i 0.413734 + 0.619197i
\(286\) 17.3196 8.39117i 1.02413 0.496180i
\(287\) 9.29026i 0.548387i
\(288\) 2.55373 + 1.37224i 0.150480 + 0.0808599i
\(289\) 14.4658i 0.850927i
\(290\) 13.6904 + 28.2572i 0.803925 + 1.65932i
\(291\) −9.69913 14.5158i −0.568573 0.850930i
\(292\) 18.2478 10.1981i 1.06787 0.596801i
\(293\) −0.0277262 0.139389i −0.00161978 0.00814318i 0.979967 0.199160i \(-0.0638214\pi\)
−0.981587 + 0.191017i \(0.938821\pi\)
\(294\) −0.196983 + 0.335747i −0.0114883 + 0.0195812i
\(295\) 3.42710 1.41955i 0.199534 0.0826495i
\(296\) 12.5998 12.0825i 0.732349 0.702279i
\(297\) −15.4676 6.40690i −0.897523 0.371766i
\(298\) 1.62399 + 2.14732i 0.0940751 + 0.124391i
\(299\) 18.3292 + 12.2472i 1.06000 + 0.708271i
\(300\) −23.7032 + 7.67857i −1.36851 + 0.443322i
\(301\) 1.35969 6.83564i 0.0783714 0.394000i
\(302\) 14.6642 + 13.0425i 0.843830 + 0.750512i
\(303\) 13.8576 + 13.8576i 0.796097 + 0.796097i
\(304\) 8.87158 0.332908i 0.508820 0.0190936i
\(305\) −6.82680 + 6.82680i −0.390901 + 0.390901i
\(306\) 1.15181 0.0674163i 0.0658444 0.00385394i
\(307\) 1.97782 + 0.393412i 0.112880 + 0.0224532i 0.251207 0.967933i \(-0.419172\pi\)
−0.138327 + 0.990387i \(0.544172\pi\)
\(308\) 10.5035 + 12.3200i 0.598491 + 0.701995i
\(309\) 7.05341 10.5562i 0.401254 0.600520i
\(310\) 2.01442 14.5167i 0.114411 0.824493i
\(311\) −5.97814 + 14.4325i −0.338989 + 0.818392i 0.658824 + 0.752297i \(0.271054\pi\)
−0.997813 + 0.0660951i \(0.978946\pi\)
\(312\) −16.4646 11.5075i −0.932124 0.651487i
\(313\) −12.3839 29.8974i −0.699981 1.68990i −0.723635 0.690183i \(-0.757530\pi\)
0.0236544 0.999720i \(-0.492470\pi\)
\(314\) −1.23379 4.73666i −0.0696266 0.267305i
\(315\) −4.83536 + 0.961813i −0.272442 + 0.0541920i
\(316\) 2.96917 0.348771i 0.167029 0.0196199i
\(317\) −2.23554 + 1.49374i −0.125560 + 0.0838968i −0.616765 0.787148i \(-0.711557\pi\)
0.491204 + 0.871045i \(0.336557\pi\)
\(318\) −4.21515 + 12.1382i −0.236374 + 0.680677i
\(319\) −18.6825 −1.04602
\(320\) −6.78118 + 27.9203i −0.379079 + 1.56079i
\(321\) −10.3482 −0.577581
\(322\) −6.08339 + 17.5181i −0.339014 + 0.976244i
\(323\) 2.93777 1.96295i 0.163462 0.109222i
\(324\) 1.67991 + 14.3015i 0.0933285 + 0.794526i
\(325\) −34.8848 + 6.93902i −1.93506 + 0.384907i
\(326\) −0.966284 3.70968i −0.0535175 0.205460i
\(327\) −6.48247 15.6501i −0.358481 0.865450i
\(328\) 1.71183 + 9.65966i 0.0945197 + 0.533366i
\(329\) 3.44584 8.31900i 0.189975 0.458641i
\(330\) 3.32755 23.9796i 0.183176 1.32004i
\(331\) 0.656286 0.982201i 0.0360727 0.0539866i −0.812995 0.582271i \(-0.802164\pi\)
0.849068 + 0.528284i \(0.177164\pi\)
\(332\) −13.0600 + 11.1344i −0.716762 + 0.611081i
\(333\) −3.10225 0.617076i −0.170002 0.0338156i
\(334\) −2.22347 + 0.130142i −0.121663 + 0.00712104i
\(335\) 37.0263 37.0263i 2.02296 2.02296i
\(336\) 5.87667 15.8434i 0.320599 0.864326i
\(337\) 23.1614 + 23.1614i 1.26168 + 1.26168i 0.950278 + 0.311402i \(0.100798\pi\)
0.311402 + 0.950278i \(0.399202\pi\)
\(338\) −7.68935 6.83899i −0.418245 0.371992i
\(339\) −4.76684 + 23.9645i −0.258899 + 1.30158i
\(340\) 3.52398 + 10.8783i 0.191114 + 0.589958i
\(341\) 7.25063 + 4.84472i 0.392644 + 0.262356i
\(342\) −0.970306 1.28299i −0.0524681 0.0693759i
\(343\) 16.8906 + 6.99631i 0.912006 + 0.377765i
\(344\) −0.154221 + 7.35798i −0.00831506 + 0.396716i
\(345\) 25.6196 10.6120i 1.37931 0.571330i
\(346\) 3.80362 6.48305i 0.204484 0.348531i
\(347\) 2.47211 + 12.4281i 0.132710 + 0.667176i 0.988666 + 0.150129i \(0.0479688\pi\)
−0.855957 + 0.517047i \(0.827031\pi\)
\(348\) 9.51318 + 17.0222i 0.509960 + 0.912484i
\(349\) 14.6597 + 21.9398i 0.784716 + 1.17441i 0.981027 + 0.193869i \(0.0621036\pi\)
−0.196312 + 0.980542i \(0.562896\pi\)
\(350\) −13.0459 26.9271i −0.697335 1.43931i
\(351\) 24.9457i 1.33150i
\(352\) −13.1912 10.8745i −0.703093 0.579610i
\(353\) 7.76818i 0.413458i 0.978398 + 0.206729i \(0.0662819\pi\)
−0.978398 + 0.206729i \(0.933718\pi\)
\(354\) 2.07323 1.00446i 0.110191 0.0533865i
\(355\) 24.1732 + 36.1778i 1.28298 + 1.92012i
\(356\) −11.2587 3.18599i −0.596708 0.168857i
\(357\) −1.31202 6.59595i −0.0694393 0.349095i
\(358\) −14.2460 8.35816i −0.752924 0.441742i
\(359\) −5.48329 + 2.27125i −0.289397 + 0.119872i −0.522659 0.852542i \(-0.675060\pi\)
0.233262 + 0.972414i \(0.425060\pi\)
\(360\) 4.85040 1.89102i 0.255638 0.0996655i
\(361\) 13.0027 + 5.38589i 0.684352 + 0.283468i
\(362\) 4.71940 3.56922i 0.248046 0.187594i
\(363\) −2.44812 1.63578i −0.128493 0.0858564i
\(364\) 10.9704 21.4837i 0.575003 1.12605i
\(365\) 7.32342 36.8173i 0.383326 1.92711i
\(366\) −3.98476 + 4.48023i −0.208287 + 0.234185i
\(367\) −24.0480 24.0480i −1.25530 1.25530i −0.953313 0.301985i \(-0.902351\pi\)
−0.301985 0.953313i \(-0.597649\pi\)
\(368\) 3.09739 19.3356i 0.161463 1.00794i
\(369\) 1.25690 1.25690i 0.0654314 0.0654314i
\(370\) −1.83170 31.2945i −0.0952256 1.62693i
\(371\) −15.1339 3.01032i −0.785713 0.156288i
\(372\) 0.722121 9.07320i 0.0374402 0.470423i
\(373\) 0.521412 0.780348i 0.0269977 0.0404049i −0.817725 0.575609i \(-0.804765\pi\)
0.844723 + 0.535204i \(0.179765\pi\)
\(374\) −6.73920 0.935171i −0.348476 0.0483565i
\(375\) −6.28385 + 15.1706i −0.324497 + 0.783404i
\(376\) −2.05000 + 9.28471i −0.105720 + 0.478823i
\(377\) 10.6528 + 25.7180i 0.548645 + 1.32455i
\(378\) −20.3074 + 5.28959i −1.04450 + 0.272067i
\(379\) −25.2135 + 5.01528i −1.29513 + 0.257618i −0.794087 0.607804i \(-0.792050\pi\)
−0.501044 + 0.865422i \(0.667050\pi\)
\(380\) 9.88084 12.5111i 0.506876 0.641805i
\(381\) −17.3149 + 11.5695i −0.887072 + 0.592722i
\(382\) −23.8773 8.29170i −1.22167 0.424240i
\(383\) −36.1379 −1.84656 −0.923279 0.384130i \(-0.874501\pi\)
−0.923279 + 0.384130i \(0.874501\pi\)
\(384\) −3.19104 + 17.5562i −0.162842 + 0.895909i
\(385\) 29.0725 1.48167
\(386\) −26.7502 9.28936i −1.36155 0.472816i
\(387\) 1.10876 0.740850i 0.0563615 0.0376595i
\(388\) −13.7209 + 17.3734i −0.696574 + 0.882000i
\(389\) 17.2404 3.42934i 0.874125 0.173874i 0.262414 0.964955i \(-0.415482\pi\)
0.611711 + 0.791081i \(0.290482\pi\)
\(390\) −34.9073 + 9.09251i −1.76760 + 0.460417i
\(391\) −2.98238 7.20010i −0.150825 0.364125i
\(392\) 0.482013 + 0.106425i 0.0243453 + 0.00537527i
\(393\) 12.3688 29.8610i 0.623924 1.50629i
\(394\) 23.3533 + 3.24063i 1.17652 + 0.163261i
\(395\) 2.98260 4.46378i 0.150071 0.224597i
\(396\) −0.245755 + 3.08782i −0.0123496 + 0.155169i
\(397\) 6.70636 + 1.33398i 0.336583 + 0.0669505i 0.360488 0.932764i \(-0.382610\pi\)
−0.0239055 + 0.999714i \(0.507610\pi\)
\(398\) −1.21974 20.8393i −0.0611402 1.04458i
\(399\) −6.62996 + 6.62996i −0.331913 + 0.331913i
\(400\) 18.5263 + 25.5939i 0.926313 + 1.27970i
\(401\) −14.0108 14.0108i −0.699666 0.699666i 0.264672 0.964338i \(-0.414736\pi\)
−0.964338 + 0.264672i \(0.914736\pi\)
\(402\) 21.6120 24.2993i 1.07791 1.21194i
\(403\) 2.53485 12.7435i 0.126270 0.634801i
\(404\) 11.3018 22.1328i 0.562284 1.10115i
\(405\) 21.5005 + 14.3662i 1.06837 + 0.713861i
\(406\) −18.6773 + 14.1254i −0.926939 + 0.701032i
\(407\) 17.2324 + 7.13791i 0.854180 + 0.353813i
\(408\) 2.57956 + 6.61647i 0.127707 + 0.327564i
\(409\) −20.5325 + 8.50486i −1.01527 + 0.420538i −0.827374 0.561651i \(-0.810166\pi\)
−0.187895 + 0.982189i \(0.560166\pi\)
\(410\) 15.1945 + 8.91466i 0.750404 + 0.440264i
\(411\) 2.10132 + 10.5640i 0.103650 + 0.521086i
\(412\) −15.4910 4.38366i −0.763187 0.215967i
\(413\) 1.53699 + 2.30027i 0.0756304 + 0.113189i
\(414\) −3.19308 + 1.54702i −0.156931 + 0.0760318i
\(415\) 30.8189i 1.51284i
\(416\) −7.44797 + 24.3594i −0.365167 + 1.19432i
\(417\) 25.7667i 1.26180i
\(418\) 4.13591 + 8.53662i 0.202294 + 0.417540i
\(419\) −12.2124 18.2772i −0.596615 0.892898i 0.403137 0.915140i \(-0.367920\pi\)
−0.999753 + 0.0222415i \(0.992920\pi\)
\(420\) −14.8038 26.4888i −0.722351 1.29252i
\(421\) −2.62271 13.1853i −0.127823 0.642610i −0.990574 0.136980i \(-0.956260\pi\)
0.862751 0.505630i \(-0.168740\pi\)
\(422\) −8.02318 + 13.6750i −0.390562 + 0.665691i
\(423\) 1.59169 0.659298i 0.0773904 0.0320562i
\(424\) 16.2903 + 0.341442i 0.791129 + 0.0165819i
\(425\) 11.6173 + 4.81203i 0.563521 + 0.233418i
\(426\) 16.2998 + 21.5524i 0.789727 + 1.04422i
\(427\) −5.98686 4.00029i −0.289725 0.193588i
\(428\) 4.04404 + 12.4837i 0.195476 + 0.603422i
\(429\) 4.18723 21.0506i 0.202161 1.01633i
\(430\) 9.87519 + 8.78310i 0.476224 + 0.423559i
\(431\) 11.2500 + 11.2500i 0.541893 + 0.541893i 0.924084 0.382190i \(-0.124830\pi\)
−0.382190 + 0.924084i \(0.624830\pi\)
\(432\) 20.1402 9.24176i 0.968996 0.444644i
\(433\) −17.8833 + 17.8833i −0.859418 + 0.859418i −0.991269 0.131851i \(-0.957908\pi\)
0.131851 + 0.991269i \(0.457908\pi\)
\(434\) 10.9116 0.638666i 0.523773 0.0306569i
\(435\) 34.3445 + 6.83154i 1.64669 + 0.327547i
\(436\) −16.3463 + 13.9362i −0.782847 + 0.667422i
\(437\) −6.03648 + 9.03424i −0.288764 + 0.432166i
\(438\) 3.20436 23.0919i 0.153110 1.10337i
\(439\) 7.70310 18.5969i 0.367649 0.887583i −0.626485 0.779433i \(-0.715507\pi\)
0.994135 0.108150i \(-0.0344928\pi\)
\(440\) −30.2285 + 5.35691i −1.44109 + 0.255381i
\(441\) −0.0342272 0.0826318i −0.00162987 0.00393485i
\(442\) 2.55535 + 9.81030i 0.121545 + 0.466628i
\(443\) −23.1776 + 4.61031i −1.10120 + 0.219043i −0.712048 0.702130i \(-0.752232\pi\)
−0.389153 + 0.921173i \(0.627232\pi\)
\(444\) −2.27124 19.3356i −0.107788 0.917627i
\(445\) −17.4706 + 11.6735i −0.828184 + 0.553375i
\(446\) 3.48112 10.0244i 0.164836 0.474671i
\(447\) 3.00252 0.142014
\(448\) −21.4094 0.897867i −1.01150 0.0424202i
\(449\) −25.3135 −1.19462 −0.597310 0.802010i \(-0.703764\pi\)
−0.597310 + 0.802010i \(0.703764\pi\)
\(450\) 1.87801 5.40802i 0.0885302 0.254937i
\(451\) −8.71543 + 5.82346i −0.410394 + 0.274216i
\(452\) 30.7728 3.61471i 1.44743 0.170021i
\(453\) 21.4661 4.26988i 1.00857 0.200617i
\(454\) 9.47949 + 36.3930i 0.444894 + 1.70801i
\(455\) −16.5771 40.0207i −0.777148 1.87620i
\(456\) 5.67194 8.11521i 0.265613 0.380030i
\(457\) −1.63458 + 3.94622i −0.0764624 + 0.184596i −0.957489 0.288471i \(-0.906853\pi\)
0.881026 + 0.473067i \(0.156853\pi\)
\(458\) −2.92457 + 21.0756i −0.136656 + 0.984798i
\(459\) 4.89960 7.33277i 0.228694 0.342264i
\(460\) −22.8139 26.7594i −1.06371 1.24766i
\(461\) −5.97319 1.18814i −0.278199 0.0553372i 0.0540188 0.998540i \(-0.482797\pi\)
−0.332218 + 0.943203i \(0.607797\pi\)
\(462\) 18.0245 1.05499i 0.838574 0.0490826i
\(463\) −4.21551 + 4.21551i −0.195912 + 0.195912i −0.798245 0.602333i \(-0.794238\pi\)
0.602333 + 0.798245i \(0.294238\pi\)
\(464\) 16.8172 18.1285i 0.780719 0.841596i
\(465\) −11.5575 11.5575i −0.535964 0.535964i
\(466\) −20.3589 18.1074i −0.943107 0.838810i
\(467\) −6.66305 + 33.4974i −0.308329 + 1.55007i 0.446882 + 0.894593i \(0.352534\pi\)
−0.755211 + 0.655482i \(0.772466\pi\)
\(468\) 4.39077 1.42237i 0.202963 0.0657491i
\(469\) 32.4708 + 21.6963i 1.49936 + 1.00184i
\(470\) 10.2995 + 13.6185i 0.475079 + 0.628173i
\(471\) −5.04324 2.08898i −0.232380 0.0962551i
\(472\) −2.02195 2.10853i −0.0930679 0.0970528i
\(473\) −7.26499 + 3.00926i −0.334045 + 0.138366i
\(474\) 1.68718 2.87570i 0.0774946 0.132085i
\(475\) −3.42016 17.1943i −0.156928 0.788929i
\(476\) −7.44438 + 4.16044i −0.341212 + 0.190693i
\(477\) −1.64022 2.45476i −0.0751005 0.112396i
\(478\) 5.85153 + 12.0777i 0.267643 + 0.552421i
\(479\) 19.6175i 0.896347i −0.893947 0.448174i \(-0.852075\pi\)
0.893947 0.448174i \(-0.147925\pi\)
\(480\) 20.2733 + 24.8143i 0.925344 + 1.13261i
\(481\) 27.7919i 1.26720i
\(482\) −4.71701 + 2.28535i −0.214854 + 0.104095i
\(483\) 11.4899 + 17.1959i 0.522809 + 0.782439i
\(484\) −1.01663 + 3.59258i −0.0462105 + 0.163299i
\(485\) 7.75573 + 38.9907i 0.352170 + 1.77048i
\(486\) −6.42084 3.76712i −0.291255 0.170880i
\(487\) 39.3985 16.3194i 1.78532 0.739502i 0.794013 0.607901i \(-0.207988\pi\)
0.991303 0.131601i \(-0.0420119\pi\)
\(488\) 6.96201 + 3.05621i 0.315155 + 0.138348i
\(489\) −3.94980 1.63606i −0.178616 0.0739852i
\(490\) 0.706997 0.534693i 0.0319389 0.0241550i
\(491\) 3.04811 + 2.03668i 0.137559 + 0.0919141i 0.622446 0.782663i \(-0.286139\pi\)
−0.484887 + 0.874577i \(0.661139\pi\)
\(492\) 9.74383 + 4.97555i 0.439286 + 0.224315i
\(493\) 1.91993 9.65213i 0.0864692 0.434710i
\(494\) 9.39307 10.5610i 0.422614 0.475162i
\(495\) 3.93327 + 3.93327i 0.176788 + 0.176788i
\(496\) −11.2278 + 2.67463i −0.504142 + 0.120094i
\(497\) −22.9457 + 22.9457i −1.02925 + 1.02925i
\(498\) 1.11836 + 19.1072i 0.0501151 + 0.856214i
\(499\) 0.0620242 + 0.0123374i 0.00277658 + 0.000552297i 0.196478 0.980508i \(-0.437049\pi\)
−0.193702 + 0.981060i \(0.562049\pi\)
\(500\) 20.7569 + 1.65201i 0.928276 + 0.0738800i
\(501\) −1.38000 + 2.06532i −0.0616540 + 0.0922717i
\(502\) −5.43730 0.754512i −0.242679 0.0336755i
\(503\) 9.58180 23.1325i 0.427231 1.03143i −0.552930 0.833228i \(-0.686490\pi\)
0.980162 0.198200i \(-0.0635096\pi\)
\(504\) 2.08894 + 3.27277i 0.0930489 + 0.145781i
\(505\) −17.0779 41.2298i −0.759958 1.83470i
\(506\) 20.2474 5.27397i 0.900108 0.234457i
\(507\) −11.2560 + 2.23896i −0.499898 + 0.0994359i
\(508\) 20.7236 + 16.3668i 0.919461 + 0.726159i
\(509\) 28.5244 19.0594i 1.26432 0.844792i 0.271273 0.962503i \(-0.412555\pi\)
0.993048 + 0.117710i \(0.0375555\pi\)
\(510\) 12.0469 + 4.18343i 0.533444 + 0.185246i
\(511\) 27.9962 1.23848
\(512\) 22.4261 3.01134i 0.991105 0.133083i
\(513\) −12.2954 −0.542857
\(514\) 6.40253 + 2.22336i 0.282404 + 0.0980684i
\(515\) −24.0381 + 16.0617i −1.05924 + 0.707764i
\(516\) 6.44117 + 5.08702i 0.283557 + 0.223943i
\(517\) −9.96424 + 1.98201i −0.438227 + 0.0871687i
\(518\) 22.6244 5.89312i 0.994060 0.258929i
\(519\) −3.20791 7.74457i −0.140812 0.339949i
\(520\) 24.6105 + 38.5575i 1.07924 + 1.69086i
\(521\) −10.5629 + 25.5011i −0.462769 + 1.11722i 0.504487 + 0.863420i \(0.331682\pi\)
−0.967256 + 0.253804i \(0.918318\pi\)
\(522\) −4.43793 0.615833i −0.194243 0.0269543i
\(523\) 8.36875 12.5247i 0.365940 0.547668i −0.602114 0.798410i \(-0.705675\pi\)
0.968054 + 0.250742i \(0.0806747\pi\)
\(524\) −40.8568 3.25173i −1.78484 0.142052i
\(525\) −32.7279 6.50998i −1.42836 0.284119i
\(526\) −1.19426 20.4039i −0.0520723 0.889654i
\(527\) −3.24809 + 3.24809i −0.141489 + 0.141489i
\(528\) −18.5468 + 4.41813i −0.807144 + 0.192274i
\(529\) 0.683141 + 0.683141i 0.0297018 + 0.0297018i
\(530\) 19.4455 21.8634i 0.844660 0.949684i
\(531\) −0.103265 + 0.519150i −0.00448133 + 0.0225292i
\(532\) 10.5891 + 5.40717i 0.459095 + 0.234430i
\(533\) 12.9860 + 8.67697i 0.562486 + 0.375841i
\(534\) −10.4078 + 7.87131i −0.450391 + 0.340625i
\(535\) 21.7708 + 9.01774i 0.941232 + 0.389871i
\(536\) −37.7596 16.5759i −1.63097 0.715970i
\(537\) −17.0181 + 7.04913i −0.734385 + 0.304192i
\(538\) −15.3665 9.01557i −0.662497 0.388689i
\(539\) 0.102895 + 0.517290i 0.00443202 + 0.0222813i
\(540\) 10.8351 38.2891i 0.466268 1.64770i
\(541\) −4.97281 7.44233i −0.213798 0.319971i 0.709034 0.705174i \(-0.249131\pi\)
−0.922832 + 0.385203i \(0.874131\pi\)
\(542\) −2.09842 + 1.01666i −0.0901348 + 0.0436695i
\(543\) 6.59898i 0.283189i
\(544\) 6.97378 5.69757i 0.298998 0.244281i
\(545\) 38.5739i 1.65232i
\(546\) −11.7298 24.2106i −0.501990 1.03612i
\(547\) −17.1415 25.6541i −0.732920 1.09689i −0.991399 0.130875i \(-0.958221\pi\)
0.258479 0.966017i \(-0.416779\pi\)
\(548\) 11.9229 6.66333i 0.509320 0.284644i
\(549\) −0.268766 1.35118i −0.0114707 0.0576669i
\(550\) −17.0834 + 29.1176i −0.728437 + 1.24158i
\(551\) −12.6761 + 5.25062i −0.540021 + 0.223684i
\(552\) −15.1153 15.7625i −0.643350 0.670896i
\(553\) 3.69907 + 1.53220i 0.157300 + 0.0651559i
\(554\) 8.49970 + 11.2387i 0.361118 + 0.477487i
\(555\) −29.0687 19.4231i −1.23390 0.824464i
\(556\) −31.0839 + 10.0695i −1.31825 + 0.427042i
\(557\) −6.97599 + 35.0707i −0.295582 + 1.48599i 0.492440 + 0.870346i \(0.336105\pi\)
−0.788022 + 0.615647i \(0.788895\pi\)
\(558\) 1.56265 + 1.38984i 0.0661523 + 0.0588366i
\(559\) 8.28498 + 8.28498i 0.350417 + 0.350417i
\(560\) −26.1698 + 28.2105i −1.10588 + 1.19211i
\(561\) −5.36541 + 5.36541i −0.226528 + 0.226528i
\(562\) 2.73480 0.160071i 0.115361 0.00675217i
\(563\) 21.7512 + 4.32658i 0.916704 + 0.182344i 0.630828 0.775923i \(-0.282715\pi\)
0.285876 + 0.958267i \(0.407715\pi\)
\(564\) 6.87968 + 8.06945i 0.289687 + 0.339785i
\(565\) 30.9120 46.2631i 1.30048 1.94630i
\(566\) −2.17663 + 15.6857i −0.0914907 + 0.659317i
\(567\) −7.38010 + 17.8171i −0.309935 + 0.748250i
\(568\) 19.6301 28.0860i 0.823660 1.17846i
\(569\) −13.8493 33.4353i −0.580594 1.40168i −0.892275 0.451492i \(-0.850892\pi\)
0.311681 0.950187i \(-0.399108\pi\)
\(570\) −4.48160 17.2054i −0.187713 0.720656i
\(571\) 40.7190 8.09951i 1.70404 0.338954i 0.755386 0.655280i \(-0.227449\pi\)
0.948650 + 0.316326i \(0.102449\pi\)
\(572\) −27.0310 + 3.17518i −1.13022 + 0.132761i
\(573\) −23.4381 + 15.6608i −0.979141 + 0.654241i
\(574\) −4.31001 + 12.4114i −0.179896 + 0.518040i
\(575\) −38.6690 −1.61261
\(576\) −2.77504 3.01799i −0.115627 0.125750i
\(577\) 11.4102 0.475014 0.237507 0.971386i \(-0.423670\pi\)
0.237507 + 0.971386i \(0.423670\pi\)
\(578\) −6.71106 + 19.3256i −0.279143 + 0.803838i
\(579\) −26.2582 + 17.5451i −1.09125 + 0.729151i
\(580\) −5.18037 44.1016i −0.215103 1.83122i
\(581\) −22.5430 + 4.48409i −0.935243 + 0.186031i
\(582\) 6.22332 + 23.8921i 0.257965 + 0.990359i
\(583\) 6.66241 + 16.0845i 0.275929 + 0.666151i
\(584\) −29.1094 + 5.15859i −1.20456 + 0.213464i
\(585\) 3.17173 7.65722i 0.131135 0.316587i
\(586\) −0.0276255 + 0.199080i −0.00114120 + 0.00822391i
\(587\) 12.5001 18.7077i 0.515934 0.772150i −0.478435 0.878123i \(-0.658796\pi\)
0.994369 + 0.105973i \(0.0337957\pi\)
\(588\) 0.418923 0.357156i 0.0172761 0.0147289i
\(589\) 6.28115 + 1.24940i 0.258810 + 0.0514806i
\(590\) −5.23702 + 0.306528i −0.215605 + 0.0126195i
\(591\) 18.5927 18.5927i 0.764800 0.764800i
\(592\) −22.4381 + 10.2962i −0.922202 + 0.423172i
\(593\) −1.24913 1.24913i −0.0512956 0.0512956i 0.680994 0.732289i \(-0.261548\pi\)
−0.732289 + 0.680994i \(0.761548\pi\)
\(594\) 17.6917 + 15.7352i 0.725899 + 0.645622i
\(595\) −2.98767 + 15.0200i −0.122482 + 0.615761i
\(596\) −1.17337 3.62213i −0.0480632 0.148368i
\(597\) −19.3570 12.9340i −0.792231 0.529352i
\(598\) −18.8051 24.8650i −0.768998 1.01681i
\(599\) 2.75750 + 1.14220i 0.112669 + 0.0466689i 0.438306 0.898826i \(-0.355579\pi\)
−0.325637 + 0.945495i \(0.605579\pi\)
\(600\) 35.2287 + 0.738386i 1.43821 + 0.0301445i
\(601\) 21.5982 8.94628i 0.881010 0.364926i 0.104121 0.994565i \(-0.466797\pi\)
0.776888 + 0.629638i \(0.216797\pi\)
\(602\) −4.98773 + 8.50130i −0.203285 + 0.346487i
\(603\) 1.45770 + 7.32835i 0.0593621 + 0.298434i
\(604\) −13.5399 24.2273i −0.550931 0.985795i
\(605\) 3.72494 + 5.57476i 0.151440 + 0.226646i
\(606\) −12.0842 24.9420i −0.490886 1.01320i
\(607\) 24.7172i 1.00324i −0.865088 0.501620i \(-0.832738\pi\)
0.865088 0.501620i \(-0.167262\pi\)
\(608\) −12.0065 3.67102i −0.486926 0.148880i
\(609\) 26.1158i 1.05827i
\(610\) 12.2874 5.95314i 0.497503 0.241036i
\(611\) 8.41000 + 12.5865i 0.340232 + 0.509193i
\(612\) −1.57004 0.444290i −0.0634649 0.0179593i
\(613\) −1.44115 7.24514i −0.0582074 0.292629i 0.940707 0.339222i \(-0.110164\pi\)
−0.998914 + 0.0465930i \(0.985164\pi\)
\(614\) −2.45976 1.44315i −0.0992677 0.0582406i
\(615\) 18.1512 7.51847i 0.731927 0.303174i
\(616\) −8.31659 21.3317i −0.335085 0.859481i
\(617\) −3.89273 1.61242i −0.156715 0.0649136i 0.302947 0.953007i \(-0.402030\pi\)
−0.459662 + 0.888094i \(0.652030\pi\)
\(618\) −14.3203 + 10.8303i −0.576048 + 0.435658i
\(619\) 6.36631 + 4.25383i 0.255884 + 0.170976i 0.676895 0.736079i \(-0.263325\pi\)
−0.421012 + 0.907055i \(0.638325\pi\)
\(620\) −9.42587 + 18.4591i −0.378552 + 0.741335i
\(621\) −5.29093 + 26.5993i −0.212318 + 1.06739i
\(622\) 14.6821 16.5077i 0.588701 0.661899i
\(623\) −11.0807 11.0807i −0.443938 0.443938i
\(624\) 16.6573 + 23.0119i 0.666824 + 0.921214i
\(625\) −1.48653 + 1.48653i −0.0594614 + 0.0594614i
\(626\) 2.67409 + 45.6868i 0.106878 + 1.82601i
\(627\) 10.3756 + 2.06384i 0.414362 + 0.0824218i
\(628\) −0.549187 + 6.90034i −0.0219150 + 0.275354i
\(629\) −5.45863 + 8.16942i −0.217650 + 0.325736i
\(630\) 6.90603 + 0.958320i 0.275143 + 0.0381804i
\(631\) 10.3902 25.0842i 0.413628 0.998587i −0.570527 0.821279i \(-0.693261\pi\)
0.984155 0.177308i \(-0.0567390\pi\)
\(632\) −4.12847 0.911536i −0.164222 0.0362590i
\(633\) 6.76661 + 16.3360i 0.268949 + 0.649300i
\(634\) 3.67956 0.958438i 0.146134 0.0380644i
\(635\) 46.5095 9.25132i 1.84567 0.367127i
\(636\) 11.2625 14.2605i 0.446587 0.565468i
\(637\) 0.653421 0.436602i 0.0258895 0.0172988i
\(638\) 24.9590 + 8.66734i 0.988136 + 0.343143i
\(639\) −6.20872 −0.245613
\(640\) 22.0123 34.1542i 0.870114 1.35006i
\(641\) 48.6538 1.92171 0.960855 0.277053i \(-0.0893579\pi\)
0.960855 + 0.277053i \(0.0893579\pi\)
\(642\) 13.8247 + 4.80082i 0.545618 + 0.189473i
\(643\) 24.2613 16.2109i 0.956772 0.639295i 0.0239813 0.999712i \(-0.492366\pi\)
0.932791 + 0.360418i \(0.117366\pi\)
\(644\) 16.2542 20.5811i 0.640507 0.811008i
\(645\) 14.4558 2.87543i 0.569195 0.113220i
\(646\) −4.83538 + 1.25950i −0.190246 + 0.0495544i
\(647\) 5.55831 + 13.4190i 0.218520 + 0.527553i 0.994684 0.102978i \(-0.0328371\pi\)
−0.776164 + 0.630531i \(0.782837\pi\)
\(648\) 4.39056 19.8855i 0.172478 0.781174i
\(649\) 1.19450 2.88378i 0.0468883 0.113198i
\(650\) 49.8237 + 6.91382i 1.95424 + 0.271182i
\(651\) 6.77231 10.1355i 0.265428 0.397241i
\(652\) −0.430116 + 5.40425i −0.0168446 + 0.211647i
\(653\) −32.4067 6.44610i −1.26817 0.252255i −0.485251 0.874375i \(-0.661272\pi\)
−0.782922 + 0.622120i \(0.786272\pi\)
\(654\) 1.39978 + 23.9151i 0.0547356 + 0.935156i
\(655\) −52.0435 + 52.0435i −2.03351 + 2.03351i
\(656\) 2.19447 13.6990i 0.0856795 0.534857i
\(657\) 3.78765 + 3.78765i 0.147770 + 0.147770i
\(658\) −8.46290 + 9.51518i −0.329918 + 0.370940i
\(659\) −0.862145 + 4.33430i −0.0335844 + 0.168840i −0.993938 0.109946i \(-0.964932\pi\)
0.960353 + 0.278786i \(0.0899321\pi\)
\(660\) −15.5703 + 30.4919i −0.606072 + 1.18690i
\(661\) 25.3472 + 16.9364i 0.985891 + 0.658751i 0.940349 0.340211i \(-0.110499\pi\)
0.0455418 + 0.998962i \(0.485499\pi\)
\(662\) −1.33244 + 1.00771i −0.0517866 + 0.0391656i
\(663\) 10.4453 + 4.32658i 0.405661 + 0.168030i
\(664\) 22.6132 8.81617i 0.877561 0.342134i
\(665\) 19.7258 8.17068i 0.764933 0.316845i
\(666\) 3.85819 + 2.26361i 0.149502 + 0.0877130i
\(667\) 5.90418 + 29.6823i 0.228611 + 1.14930i
\(668\) 3.03082 + 0.857664i 0.117266 + 0.0331840i
\(669\) −6.57492 9.84006i −0.254201 0.380439i
\(670\) −66.6430 + 32.2879i −2.57464 + 1.24739i
\(671\) 8.12395i 0.313622i
\(672\) −15.2011 + 18.4396i −0.586396 + 0.711325i
\(673\) 26.5263i 1.02251i 0.859428 + 0.511257i \(0.170820\pi\)
−0.859428 + 0.511257i \(0.829180\pi\)
\(674\) −20.1973 41.6877i −0.777971 1.60575i
\(675\) −24.3109 36.3838i −0.935727 1.40041i
\(676\) 7.09981 + 12.7039i 0.273070 + 0.488611i
\(677\) 5.43408 + 27.3189i 0.208849 + 1.04995i 0.932881 + 0.360186i \(0.117287\pi\)
−0.724032 + 0.689766i \(0.757713\pi\)
\(678\) 17.4861 29.8040i 0.671549 1.14462i
\(679\) −27.3920 + 11.3461i −1.05121 + 0.435424i
\(680\) 0.338872 16.1678i 0.0129952 0.620005i
\(681\) 38.7485 + 16.0502i 1.48485 + 0.615043i
\(682\) −7.43891 9.83609i −0.284851 0.376643i
\(683\) −31.4771 21.0323i −1.20444 0.804779i −0.219151 0.975691i \(-0.570329\pi\)
−0.985286 + 0.170912i \(0.945329\pi\)
\(684\) 0.701071 + 2.16416i 0.0268061 + 0.0827488i
\(685\) 4.78503 24.0560i 0.182827 0.919132i
\(686\) −19.3193 17.1828i −0.737613 0.656041i
\(687\) 16.7793 + 16.7793i 0.640171 + 0.640171i
\(688\) 3.61960 9.75837i 0.137996 0.372034i
\(689\) 18.3427 18.3427i 0.698801 0.698801i
\(690\) −39.1498 + 2.29148i −1.49041 + 0.0872350i
\(691\) 25.4829 + 5.06887i 0.969416 + 0.192829i 0.654309 0.756227i \(-0.272960\pi\)
0.315107 + 0.949056i \(0.397960\pi\)
\(692\) −8.08913 + 6.89645i −0.307502 + 0.262164i
\(693\) −2.30478 + 3.44934i −0.0875512 + 0.131030i
\(694\) 2.46313 17.7503i 0.0934991 0.673790i
\(695\) −22.4538 + 54.2084i −0.851723 + 2.05624i
\(696\) −4.81211 27.1543i −0.182402 1.02928i
\(697\) −2.11298 5.10119i −0.0800348 0.193221i
\(698\) −9.40620 36.1116i −0.356030 1.36684i
\(699\) −29.8023 + 5.92804i −1.12723 + 0.224219i
\(700\) 4.93653 + 42.0257i 0.186583 + 1.58842i
\(701\) 30.2742 20.2286i 1.14344 0.764023i 0.168328 0.985731i \(-0.446163\pi\)
0.975113 + 0.221708i \(0.0711633\pi\)
\(702\) 11.5730 33.3262i 0.436794 1.25782i
\(703\) 13.6983 0.516642
\(704\) 12.5779 + 20.6475i 0.474046 + 0.778183i
\(705\) 19.0422 0.717172
\(706\) 3.60387 10.3779i 0.135634 0.390578i
\(707\) 27.6734 18.4908i 1.04077 0.695417i
\(708\) −3.23573 + 0.380084i −0.121606 + 0.0142844i
\(709\) −7.11157 + 1.41458i −0.267081 + 0.0531256i −0.326814 0.945089i \(-0.605975\pi\)
0.0597332 + 0.998214i \(0.480975\pi\)
\(710\) −15.5104 59.5464i −0.582095 2.23474i
\(711\) 0.293159 + 0.707747i 0.0109943 + 0.0265426i
\(712\) 13.5630 + 9.47954i 0.508295 + 0.355261i
\(713\) 5.40577 13.0507i 0.202448 0.488752i
\(714\) −1.30725 + 9.42056i −0.0489227 + 0.352556i
\(715\) −27.1533 + 40.6378i −1.01548 + 1.51977i
\(716\) 15.1544 + 17.7752i 0.566347 + 0.664291i
\(717\) 14.6795 + 2.91994i 0.548217 + 0.109047i
\(718\) 8.37912 0.490438i 0.312706 0.0183030i
\(719\) 24.9786 24.9786i 0.931543 0.931543i −0.0662593 0.997802i \(-0.521106\pi\)
0.997802 + 0.0662593i \(0.0211064\pi\)
\(720\) −7.35720 + 0.276080i −0.274187 + 0.0102889i
\(721\) −15.2461 15.2461i −0.567795 0.567795i
\(722\) −14.8723 13.2276i −0.553491 0.492281i
\(723\) −1.14040 + 5.73317i −0.0424119 + 0.213219i
\(724\) −7.96076 + 2.57886i −0.295859 + 0.0958424i
\(725\) −40.6009 27.1287i −1.50788 1.00753i
\(726\) 2.51169 + 3.32108i 0.0932176 + 0.123257i
\(727\) −49.4936 20.5009i −1.83562 0.760337i −0.961608 0.274425i \(-0.911512\pi\)
−0.874008 0.485912i \(-0.838488\pi\)
\(728\) −24.6228 + 23.6118i −0.912581 + 0.875112i
\(729\) −27.6258 + 11.4430i −1.02318 + 0.423814i
\(730\) −26.8643 + 45.7887i −0.994294 + 1.69472i
\(731\) −0.808107 4.06263i −0.0298889 0.150262i
\(732\) 7.40196 4.13673i 0.273584 0.152898i
\(733\) −16.9138 25.3133i −0.624725 0.934967i −0.999968 0.00804070i \(-0.997441\pi\)
0.375242 0.926927i \(-0.377559\pi\)
\(734\) 20.9705 + 43.2836i 0.774036 + 1.59763i
\(735\) 0.988571i 0.0364640i
\(736\) −13.1083 + 24.3944i −0.483177 + 0.899191i
\(737\) 44.0616i 1.62303i
\(738\) −2.26226 + 1.09604i −0.0832750 + 0.0403460i
\(739\) 23.5325 + 35.2188i 0.865656 + 1.29555i 0.954107 + 0.299465i \(0.0968082\pi\)
−0.0884513 + 0.996081i \(0.528192\pi\)
\(740\) −12.0713 + 42.6578i −0.443751 + 1.56813i
\(741\) −3.07512 15.4597i −0.112967 0.567926i
\(742\) 18.8216 + 11.0427i 0.690963 + 0.405390i
\(743\) 14.7692 6.11761i 0.541830 0.224433i −0.0949455 0.995482i \(-0.530268\pi\)
0.636776 + 0.771049i \(0.280268\pi\)
\(744\) −5.17403 + 11.7864i −0.189689 + 0.432109i
\(745\) −6.31676 2.61649i −0.231428 0.0958607i
\(746\) −1.05861 + 0.800611i −0.0387584 + 0.0293125i
\(747\) −3.65655 2.44323i −0.133786 0.0893930i
\(748\) 8.56941 + 4.37585i 0.313329 + 0.159997i
\(749\) −3.42858 + 17.2367i −0.125278 + 0.629814i
\(750\) 15.4330 17.3519i 0.563532 0.633602i
\(751\) −27.8491 27.8491i −1.01623 1.01623i −0.999866 0.0163606i \(-0.994792\pi\)
−0.0163606 0.999866i \(-0.505208\pi\)
\(752\) 7.04614 11.4529i 0.256946 0.417644i
\(753\) −4.32890 + 4.32890i −0.157754 + 0.157754i
\(754\) −2.30028 39.3002i −0.0837712 1.43123i
\(755\) −48.8818 9.72319i −1.77899 0.353863i
\(756\) 29.5837 + 2.35452i 1.07595 + 0.0856331i
\(757\) 1.58238 2.36820i 0.0575127 0.0860738i −0.801599 0.597862i \(-0.796017\pi\)
0.859111 + 0.511789i \(0.171017\pi\)
\(758\) 36.0108 + 4.99707i 1.30797 + 0.181502i
\(759\) 8.92960 21.5580i 0.324124 0.782504i
\(760\) −19.0046 + 12.1302i −0.689368 + 0.440010i
\(761\) 10.1275 + 24.4500i 0.367123 + 0.886312i 0.994219 + 0.107371i \(0.0342432\pi\)
−0.627096 + 0.778942i \(0.715757\pi\)
\(762\) 28.4994 7.42340i 1.03242 0.268921i
\(763\) −28.2155 + 5.61242i −1.02147 + 0.203183i
\(764\) 28.0522 + 22.1547i 1.01489 + 0.801527i
\(765\) −2.43629 + 1.62788i −0.0880843 + 0.0588560i
\(766\) 48.2785 + 16.7653i 1.74437 + 0.605757i
\(767\) −4.65086 −0.167933
\(768\) 12.4079 21.9738i 0.447730 0.792912i
\(769\) −48.9485 −1.76513 −0.882564 0.470193i \(-0.844184\pi\)
−0.882564 + 0.470193i \(0.844184\pi\)
\(770\) −38.8396 13.4876i −1.39968 0.486058i
\(771\) 6.28477 4.19935i 0.226341 0.151236i
\(772\) 31.4274 + 24.8203i 1.13110 + 0.893302i
\(773\) −30.5401 + 6.07480i