Properties

Label 819.2.fy.a.50.14
Level $819$
Weight $2$
Character 819.50
Analytic conductor $6.540$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 819 = 3^{2} \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 819.fy (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.53974792554\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(84\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 50.14
Character \(\chi\) \(=\) 819.50
Dual form 819.2.fy.a.344.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.563544 - 2.10318i) q^{2} +(-1.71440 + 0.246659i) q^{3} +(-2.37372 + 1.37047i) q^{4} +(-0.775066 - 2.89259i) q^{5} +(1.48491 + 3.46668i) q^{6} +(-0.707107 + 0.707107i) q^{7} +(1.14076 + 1.14076i) q^{8} +(2.87832 - 0.845744i) q^{9} +O(q^{10})\) \(q+(-0.563544 - 2.10318i) q^{2} +(-1.71440 + 0.246659i) q^{3} +(-2.37372 + 1.37047i) q^{4} +(-0.775066 - 2.89259i) q^{5} +(1.48491 + 3.46668i) q^{6} +(-0.707107 + 0.707107i) q^{7} +(1.14076 + 1.14076i) q^{8} +(2.87832 - 0.845744i) q^{9} +(-5.64684 + 3.26020i) q^{10} +(-1.60810 + 0.430888i) q^{11} +(3.73146 - 2.93502i) q^{12} +(-2.85587 + 2.20091i) q^{13} +(1.88566 + 1.08868i) q^{14} +(2.04226 + 4.76787i) q^{15} +(-0.984577 + 1.70534i) q^{16} +(0.438522 - 0.759542i) q^{17} +(-3.40081 - 5.57700i) q^{18} +(0.110423 - 0.0295877i) q^{19} +(5.80398 + 5.80398i) q^{20} +(1.03785 - 1.38668i) q^{21} +(1.81247 + 3.13928i) q^{22} -4.42750 q^{23} +(-2.23710 - 1.67434i) q^{24} +(-3.43621 + 1.98389i) q^{25} +(6.23830 + 4.76610i) q^{26} +(-4.72597 + 2.15991i) q^{27} +(0.709405 - 2.64754i) q^{28} +(5.46881 + 3.15742i) q^{29} +(8.87676 - 6.98213i) q^{30} +(-6.55354 + 1.75602i) q^{31} +(7.25810 + 1.94480i) q^{32} +(2.65063 - 1.13536i) q^{33} +(-1.84458 - 0.494253i) q^{34} +(2.59342 + 1.49731i) q^{35} +(-5.67325 + 5.95220i) q^{36} +(7.53882 + 2.02002i) q^{37} +(-0.124456 - 0.215565i) q^{38} +(4.35323 - 4.47766i) q^{39} +(2.41559 - 4.18392i) q^{40} +(2.17756 - 2.17756i) q^{41} +(-3.50130 - 1.40132i) q^{42} -0.0653628i q^{43} +(3.22665 - 3.22665i) q^{44} +(-4.67728 - 7.67028i) q^{45} +(2.49509 + 9.31181i) q^{46} +(2.10694 - 7.86319i) q^{47} +(1.26732 - 3.16648i) q^{48} -1.00000i q^{49} +(6.10893 + 6.10893i) q^{50} +(-0.564453 + 1.41032i) q^{51} +(3.76277 - 9.13821i) q^{52} +1.23147i q^{53} +(7.20596 + 8.72235i) q^{54} +(2.49276 + 4.31759i) q^{55} -1.61328 q^{56} +(-0.182011 + 0.0779620i) q^{57} +(3.55869 - 13.2812i) q^{58} +(-1.26502 + 4.72111i) q^{59} +(-11.3819 - 8.51873i) q^{60} +6.24820 q^{61} +(7.38643 + 12.7937i) q^{62} +(-1.43725 + 2.63331i) q^{63} -12.4227i q^{64} +(8.57980 + 6.55502i) q^{65} +(-3.88162 - 4.93492i) q^{66} +(-3.88109 - 3.88109i) q^{67} +2.40392i q^{68} +(7.59049 - 1.09208i) q^{69} +(1.68760 - 6.29823i) q^{70} +(-0.779135 - 2.90777i) q^{71} +(4.24827 + 2.31869i) q^{72} +(0.741136 - 0.741136i) q^{73} -16.9938i q^{74} +(5.40168 - 4.24876i) q^{75} +(-0.221564 + 0.221564i) q^{76} +(0.832411 - 1.44178i) q^{77} +(-11.8705 - 6.63225i) q^{78} +(8.18837 + 14.1827i) q^{79} +(5.69595 + 1.52623i) q^{80} +(7.56943 - 4.86864i) q^{81} +(-5.80696 - 3.35265i) q^{82} +(9.52386 + 2.55191i) q^{83} +(-0.563163 + 4.71391i) q^{84} +(-2.53693 - 0.679767i) q^{85} +(-0.137470 + 0.0368349i) q^{86} +(-10.1545 - 4.06414i) q^{87} +(-2.32600 - 1.34291i) q^{88} +(-2.63978 + 9.85179i) q^{89} +(-13.4961 + 14.1597i) q^{90} +(0.463132 - 3.57568i) q^{91} +(10.5096 - 6.06774i) q^{92} +(10.8022 - 4.62700i) q^{93} -17.7250 q^{94} +(-0.171170 - 0.296476i) q^{95} +(-12.9230 - 1.54389i) q^{96} +(-8.02948 - 8.02948i) q^{97} +(-2.10318 + 0.563544i) q^{98} +(-4.26419 + 2.60027i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q - 12 q^{6} + 36 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 336 q - 12 q^{6} + 36 q^{8} - 12 q^{11} + 4 q^{15} + 168 q^{16} - 4 q^{18} - 4 q^{21} + 8 q^{24} - 96 q^{26} + 24 q^{27} - 120 q^{30} - 72 q^{32} + 36 q^{33} + 72 q^{38} + 8 q^{39} - 48 q^{41} - 76 q^{45} + 24 q^{48} - 24 q^{50} - 36 q^{52} + 72 q^{54} + 32 q^{57} + 36 q^{58} - 72 q^{59} + 4 q^{60} + 36 q^{62} - 8 q^{63} - 72 q^{65} - 20 q^{66} - 48 q^{71} - 176 q^{72} - 60 q^{75} - 124 q^{78} - 12 q^{79} - 96 q^{80} - 20 q^{81} - 156 q^{83} - 12 q^{84} - 108 q^{85} - 24 q^{87} + 60 q^{89} - 72 q^{92} + 20 q^{93} + 96 q^{94} + 88 q^{96} - 96 q^{97} + 108 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(379\) \(703\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{7}{12}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.563544 2.10318i −0.398486 1.48717i −0.815761 0.578390i \(-0.803681\pi\)
0.417275 0.908780i \(-0.362985\pi\)
\(3\) −1.71440 + 0.246659i −0.989808 + 0.142409i
\(4\) −2.37372 + 1.37047i −1.18686 + 0.685233i
\(5\) −0.775066 2.89259i −0.346620 1.29360i −0.890708 0.454576i \(-0.849791\pi\)
0.544088 0.839028i \(-0.316876\pi\)
\(6\) 1.48491 + 3.46668i 0.606211 + 1.41526i
\(7\) −0.707107 + 0.707107i −0.267261 + 0.267261i
\(8\) 1.14076 + 1.14076i 0.403321 + 0.403321i
\(9\) 2.87832 0.845744i 0.959439 0.281915i
\(10\) −5.64684 + 3.26020i −1.78569 + 1.03097i
\(11\) −1.60810 + 0.430888i −0.484859 + 0.129918i −0.492964 0.870050i \(-0.664087\pi\)
0.00810527 + 0.999967i \(0.497420\pi\)
\(12\) 3.73146 2.93502i 1.07718 0.847268i
\(13\) −2.85587 + 2.20091i −0.792077 + 0.610421i
\(14\) 1.88566 + 1.08868i 0.503963 + 0.290963i
\(15\) 2.04226 + 4.76787i 0.527308 + 1.23106i
\(16\) −0.984577 + 1.70534i −0.246144 + 0.426334i
\(17\) 0.438522 0.759542i 0.106357 0.184216i −0.807935 0.589272i \(-0.799415\pi\)
0.914292 + 0.405056i \(0.132748\pi\)
\(18\) −3.40081 5.57700i −0.801578 1.31451i
\(19\) 0.110423 0.0295877i 0.0253328 0.00678789i −0.246130 0.969237i \(-0.579159\pi\)
0.271463 + 0.962449i \(0.412492\pi\)
\(20\) 5.80398 + 5.80398i 1.29781 + 1.29781i
\(21\) 1.03785 1.38668i 0.226477 0.302598i
\(22\) 1.81247 + 3.13928i 0.386419 + 0.669297i
\(23\) −4.42750 −0.923197 −0.461598 0.887089i \(-0.652724\pi\)
−0.461598 + 0.887089i \(0.652724\pi\)
\(24\) −2.23710 1.67434i −0.456646 0.341774i
\(25\) −3.43621 + 1.98389i −0.687241 + 0.396779i
\(26\) 6.23830 + 4.76610i 1.22343 + 0.934709i
\(27\) −4.72597 + 2.15991i −0.909514 + 0.415674i
\(28\) 0.709405 2.64754i 0.134065 0.500338i
\(29\) 5.46881 + 3.15742i 1.01553 + 0.586318i 0.912807 0.408392i \(-0.133910\pi\)
0.102726 + 0.994710i \(0.467244\pi\)
\(30\) 8.87676 6.98213i 1.62067 1.27476i
\(31\) −6.55354 + 1.75602i −1.17705 + 0.315390i −0.793756 0.608236i \(-0.791877\pi\)
−0.383295 + 0.923626i \(0.625211\pi\)
\(32\) 7.25810 + 1.94480i 1.28306 + 0.343796i
\(33\) 2.65063 1.13536i 0.461416 0.197642i
\(34\) −1.84458 0.494253i −0.316342 0.0847637i
\(35\) 2.59342 + 1.49731i 0.438368 + 0.253092i
\(36\) −5.67325 + 5.95220i −0.945542 + 0.992033i
\(37\) 7.53882 + 2.02002i 1.23937 + 0.332089i 0.818223 0.574901i \(-0.194960\pi\)
0.421151 + 0.906991i \(0.361626\pi\)
\(38\) −0.124456 0.215565i −0.0201895 0.0349692i
\(39\) 4.35323 4.47766i 0.697075 0.716999i
\(40\) 2.41559 4.18392i 0.381938 0.661536i
\(41\) 2.17756 2.17756i 0.340079 0.340079i −0.516318 0.856397i \(-0.672698\pi\)
0.856397 + 0.516318i \(0.172698\pi\)
\(42\) −3.50130 1.40132i −0.540262 0.216229i
\(43\) 0.0653628i 0.00996774i −0.999988 0.00498387i \(-0.998414\pi\)
0.999988 0.00498387i \(-0.00158642\pi\)
\(44\) 3.22665 3.22665i 0.486435 0.486435i
\(45\) −4.67728 7.67028i −0.697247 1.14342i
\(46\) 2.49509 + 9.31181i 0.367881 + 1.37295i
\(47\) 2.10694 7.86319i 0.307328 1.14696i −0.623595 0.781748i \(-0.714328\pi\)
0.930923 0.365216i \(-0.119005\pi\)
\(48\) 1.26732 3.16648i 0.182922 0.457042i
\(49\) 1.00000i 0.142857i
\(50\) 6.10893 + 6.10893i 0.863934 + 0.863934i
\(51\) −0.564453 + 1.41032i −0.0790392 + 0.197485i
\(52\) 3.76277 9.13821i 0.521802 1.26724i
\(53\) 1.23147i 0.169155i 0.996417 + 0.0845775i \(0.0269541\pi\)
−0.996417 + 0.0845775i \(0.973046\pi\)
\(54\) 7.20596 + 8.72235i 0.980607 + 1.18696i
\(55\) 2.49276 + 4.31759i 0.336124 + 0.582184i
\(56\) −1.61328 −0.215584
\(57\) −0.182011 + 0.0779620i −0.0241079 + 0.0103263i
\(58\) 3.55869 13.2812i 0.467279 1.74391i
\(59\) −1.26502 + 4.72111i −0.164691 + 0.614637i 0.833388 + 0.552688i \(0.186398\pi\)
−0.998079 + 0.0619482i \(0.980269\pi\)
\(60\) −11.3819 8.51873i −1.46940 1.09976i
\(61\) 6.24820 0.799999 0.400000 0.916515i \(-0.369010\pi\)
0.400000 + 0.916515i \(0.369010\pi\)
\(62\) 7.38643 + 12.7937i 0.938077 + 1.62480i
\(63\) −1.43725 + 2.63331i −0.181076 + 0.331766i
\(64\) 12.4227i 1.55284i
\(65\) 8.57980 + 6.55502i 1.06419 + 0.813050i
\(66\) −3.88162 4.93492i −0.477794 0.607446i
\(67\) −3.88109 3.88109i −0.474151 0.474151i 0.429104 0.903255i \(-0.358829\pi\)
−0.903255 + 0.429104i \(0.858829\pi\)
\(68\) 2.40392i 0.291518i
\(69\) 7.59049 1.09208i 0.913788 0.131471i
\(70\) 1.68760 6.29823i 0.201707 0.752782i
\(71\) −0.779135 2.90777i −0.0924663 0.345089i 0.904157 0.427201i \(-0.140500\pi\)
−0.996623 + 0.0821117i \(0.973834\pi\)
\(72\) 4.24827 + 2.31869i 0.500664 + 0.273260i
\(73\) 0.741136 0.741136i 0.0867434 0.0867434i −0.662404 0.749147i \(-0.730464\pi\)
0.749147 + 0.662404i \(0.230464\pi\)
\(74\) 16.9938i 1.97549i
\(75\) 5.40168 4.24876i 0.623732 0.490604i
\(76\) −0.221564 + 0.221564i −0.0254151 + 0.0254151i
\(77\) 0.832411 1.44178i 0.0948621 0.164306i
\(78\) −11.8705 6.63225i −1.34407 0.750954i
\(79\) 8.18837 + 14.1827i 0.921263 + 1.59567i 0.797463 + 0.603368i \(0.206175\pi\)
0.123800 + 0.992307i \(0.460492\pi\)
\(80\) 5.69595 + 1.52623i 0.636827 + 0.170637i
\(81\) 7.56943 4.86864i 0.841048 0.540960i
\(82\) −5.80696 3.35265i −0.641271 0.370238i
\(83\) 9.52386 + 2.55191i 1.04538 + 0.280109i 0.740341 0.672231i \(-0.234664\pi\)
0.305039 + 0.952340i \(0.401331\pi\)
\(84\) −0.563163 + 4.71391i −0.0614462 + 0.514330i
\(85\) −2.53693 0.679767i −0.275168 0.0737311i
\(86\) −0.137470 + 0.0368349i −0.0148237 + 0.00397201i
\(87\) −10.1545 4.06414i −1.08868 0.435722i
\(88\) −2.32600 1.34291i −0.247952 0.143155i
\(89\) −2.63978 + 9.85179i −0.279816 + 1.04429i 0.672729 + 0.739889i \(0.265122\pi\)
−0.952545 + 0.304398i \(0.901545\pi\)
\(90\) −13.4961 + 14.1597i −1.42261 + 1.49256i
\(91\) 0.463132 3.57568i 0.0485495 0.374833i
\(92\) 10.5096 6.06774i 1.09570 0.632605i
\(93\) 10.8022 4.62700i 1.12014 0.479798i
\(94\) −17.7250 −1.82820
\(95\) −0.171170 0.296476i −0.0175617 0.0304177i
\(96\) −12.9230 1.54389i −1.31895 0.157572i
\(97\) −8.02948 8.02948i −0.815270 0.815270i 0.170149 0.985418i \(-0.445575\pi\)
−0.985418 + 0.170149i \(0.945575\pi\)
\(98\) −2.10318 + 0.563544i −0.212453 + 0.0569266i
\(99\) −4.26419 + 2.60027i −0.428567 + 0.261337i
\(100\) 5.43772 9.41841i 0.543772 0.941841i
\(101\) −3.18060 + 5.50897i −0.316482 + 0.548163i −0.979751 0.200218i \(-0.935835\pi\)
0.663269 + 0.748381i \(0.269168\pi\)
\(102\) 3.28425 + 0.392364i 0.325189 + 0.0388498i
\(103\) −11.1554 6.44056i −1.09917 0.634608i −0.163169 0.986598i \(-0.552172\pi\)
−0.936004 + 0.351991i \(0.885505\pi\)
\(104\) −5.76859 0.747163i −0.565656 0.0732654i
\(105\) −4.81548 1.92730i −0.469943 0.188085i
\(106\) 2.58999 0.693986i 0.251562 0.0674059i
\(107\) −10.6455 + 6.14621i −1.02914 + 0.594176i −0.916739 0.399486i \(-0.869189\pi\)
−0.112405 + 0.993663i \(0.535855\pi\)
\(108\) 8.25804 11.6038i 0.794630 1.11658i
\(109\) 9.19135 + 9.19135i 0.880372 + 0.880372i 0.993572 0.113200i \(-0.0361101\pi\)
−0.113200 + 0.993572i \(0.536110\pi\)
\(110\) 7.67587 7.67587i 0.731865 0.731865i
\(111\) −13.4228 1.60360i −1.27403 0.152207i
\(112\) −0.509655 1.90206i −0.0481578 0.179728i
\(113\) −7.99176 + 4.61405i −0.751802 + 0.434053i −0.826345 0.563165i \(-0.809584\pi\)
0.0745428 + 0.997218i \(0.476250\pi\)
\(114\) 0.266539 + 0.338866i 0.0249637 + 0.0317377i
\(115\) 3.43160 + 12.8069i 0.319999 + 1.19425i
\(116\) −17.3085 −1.60706
\(117\) −6.35871 + 8.75025i −0.587863 + 0.808961i
\(118\) 10.6422 0.979696
\(119\) 0.226996 + 0.847159i 0.0208087 + 0.0776590i
\(120\) −3.10928 + 7.76874i −0.283837 + 0.709185i
\(121\) −7.12597 + 4.11418i −0.647816 + 0.374017i
\(122\) −3.52114 13.1411i −0.318789 1.18974i
\(123\) −3.19610 + 4.27033i −0.288182 + 0.385043i
\(124\) 13.1497 13.1497i 1.18088 1.18088i
\(125\) −2.18573 2.18573i −0.195497 0.195497i
\(126\) 6.34827 + 1.53880i 0.565549 + 0.137087i
\(127\) −9.66065 + 5.57758i −0.857244 + 0.494930i −0.863089 0.505053i \(-0.831473\pi\)
0.00584412 + 0.999983i \(0.498140\pi\)
\(128\) −11.6110 + 3.11116i −1.02628 + 0.274990i
\(129\) 0.0161224 + 0.112058i 0.00141949 + 0.00986615i
\(130\) 8.95125 21.7389i 0.785077 1.90663i
\(131\) −16.7910 9.69431i −1.46704 0.846996i −0.467720 0.883877i \(-0.654924\pi\)
−0.999320 + 0.0368811i \(0.988258\pi\)
\(132\) −4.73587 + 6.32764i −0.412205 + 0.550750i
\(133\) −0.0571591 + 0.0990025i −0.00495632 + 0.00858461i
\(134\) −5.97546 + 10.3498i −0.516201 + 0.894086i
\(135\) 9.91066 + 11.9962i 0.852974 + 1.03247i
\(136\) 1.36671 0.366208i 0.117194 0.0314021i
\(137\) 13.9052 + 13.9052i 1.18800 + 1.18800i 0.977619 + 0.210383i \(0.0674711\pi\)
0.210383 + 0.977619i \(0.432529\pi\)
\(138\) −6.57442 15.3487i −0.559652 1.30657i
\(139\) 8.89085 + 15.3994i 0.754112 + 1.30616i 0.945815 + 0.324707i \(0.105266\pi\)
−0.191703 + 0.981453i \(0.561401\pi\)
\(140\) −8.20807 −0.693708
\(141\) −1.67260 + 14.0003i −0.140858 + 1.17904i
\(142\) −5.67648 + 3.27732i −0.476360 + 0.275026i
\(143\) 3.64417 4.76983i 0.304741 0.398873i
\(144\) −1.39165 + 5.74121i −0.115971 + 0.478434i
\(145\) 4.89442 18.2662i 0.406459 1.51693i
\(146\) −1.97640 1.14108i −0.163568 0.0944361i
\(147\) 0.246659 + 1.71440i 0.0203441 + 0.141401i
\(148\) −20.6634 + 5.53674i −1.69852 + 0.455117i
\(149\) 4.54029 + 1.21657i 0.371955 + 0.0996651i 0.439954 0.898020i \(-0.354995\pi\)
−0.0679988 + 0.997685i \(0.521661\pi\)
\(150\) −11.9800 8.96632i −0.978160 0.732097i
\(151\) −6.09949 1.63435i −0.496370 0.133002i 0.00194492 0.999998i \(-0.499381\pi\)
−0.498315 + 0.866996i \(0.666048\pi\)
\(152\) 0.159719 + 0.0922138i 0.0129549 + 0.00747953i
\(153\) 0.619827 2.55708i 0.0501101 0.206728i
\(154\) −3.50142 0.938201i −0.282152 0.0756024i
\(155\) 10.1589 + 17.5957i 0.815980 + 1.41332i
\(156\) −4.19686 + 16.5946i −0.336018 + 1.32863i
\(157\) −8.81631 + 15.2703i −0.703618 + 1.21870i 0.263570 + 0.964640i \(0.415100\pi\)
−0.967188 + 0.254062i \(0.918233\pi\)
\(158\) 25.2141 25.2141i 2.00593 2.00593i
\(159\) −0.303753 2.11122i −0.0240892 0.167431i
\(160\) 22.5020i 1.77894i
\(161\) 3.13071 3.13071i 0.246735 0.246735i
\(162\) −14.5053 13.1762i −1.13965 1.03522i
\(163\) 1.42810 + 5.32975i 0.111858 + 0.417458i 0.999033 0.0439747i \(-0.0140021\pi\)
−0.887175 + 0.461433i \(0.847335\pi\)
\(164\) −2.18464 + 8.15320i −0.170592 + 0.636658i
\(165\) −5.33856 6.78720i −0.415606 0.528383i
\(166\) 21.4685i 1.66628i
\(167\) 0.302751 + 0.302751i 0.0234276 + 0.0234276i 0.718724 0.695296i \(-0.244727\pi\)
−0.695296 + 0.718724i \(0.744727\pi\)
\(168\) 2.76581 0.397931i 0.213387 0.0307011i
\(169\) 3.31203 12.5710i 0.254771 0.967001i
\(170\) 5.71868i 0.438603i
\(171\) 0.292809 0.178552i 0.0223916 0.0136543i
\(172\) 0.0895776 + 0.155153i 0.00683022 + 0.0118303i
\(173\) −18.2583 −1.38815 −0.694076 0.719901i \(-0.744187\pi\)
−0.694076 + 0.719901i \(0.744187\pi\)
\(174\) −2.82508 + 23.6471i −0.214169 + 1.79268i
\(175\) 1.02694 3.83259i 0.0776293 0.289717i
\(176\) 0.848485 3.16659i 0.0639569 0.238691i
\(177\) 1.00424 8.40589i 0.0754832 0.631826i
\(178\) 22.2077 1.66454
\(179\) 1.89163 + 3.27641i 0.141387 + 0.244890i 0.928019 0.372532i \(-0.121510\pi\)
−0.786632 + 0.617422i \(0.788177\pi\)
\(180\) 21.6144 + 11.7970i 1.61104 + 0.879298i
\(181\) 13.3627i 0.993240i 0.867968 + 0.496620i \(0.165426\pi\)
−0.867968 + 0.496620i \(0.834574\pi\)
\(182\) −7.78129 + 1.04101i −0.576787 + 0.0771646i
\(183\) −10.7119 + 1.54118i −0.791846 + 0.113927i
\(184\) −5.05073 5.05073i −0.372344 0.372344i
\(185\) 23.3723i 1.71837i
\(186\) −15.8189 20.1115i −1.15990 1.47465i
\(187\) −0.377907 + 1.41037i −0.0276353 + 0.103136i
\(188\) 5.77497 + 21.5525i 0.421183 + 1.57188i
\(189\) 1.81448 4.86905i 0.131984 0.354171i
\(190\) −0.527078 + 0.527078i −0.0382383 + 0.0382383i
\(191\) 10.2559i 0.742093i 0.928614 + 0.371046i \(0.121001\pi\)
−0.928614 + 0.371046i \(0.878999\pi\)
\(192\) 3.06418 + 21.2975i 0.221138 + 1.53702i
\(193\) 13.2036 13.2036i 0.950418 0.950418i −0.0484096 0.998828i \(-0.515415\pi\)
0.998828 + 0.0484096i \(0.0154153\pi\)
\(194\) −12.3624 + 21.4124i −0.887571 + 1.53732i
\(195\) −16.3261 9.12161i −1.16913 0.653212i
\(196\) 1.37047 + 2.37372i 0.0978904 + 0.169551i
\(197\) 21.8280 + 5.84879i 1.55518 + 0.416709i 0.931133 0.364679i \(-0.118821\pi\)
0.624046 + 0.781388i \(0.285488\pi\)
\(198\) 7.87188 + 7.50297i 0.559430 + 0.533213i
\(199\) 19.0591 + 11.0038i 1.35107 + 0.780038i 0.988399 0.151881i \(-0.0485330\pi\)
0.362667 + 0.931919i \(0.381866\pi\)
\(200\) −6.18305 1.65674i −0.437208 0.117149i
\(201\) 7.61105 + 5.69643i 0.536842 + 0.401795i
\(202\) 13.3787 + 3.58482i 0.941325 + 0.252227i
\(203\) −6.09967 + 1.63440i −0.428113 + 0.114712i
\(204\) −0.592949 4.12127i −0.0415147 0.288547i
\(205\) −7.98655 4.61104i −0.557805 0.322049i
\(206\) −7.25909 + 27.0913i −0.505764 + 1.88754i
\(207\) −12.7437 + 3.74453i −0.885752 + 0.260263i
\(208\) −0.941459 7.03719i −0.0652785 0.487941i
\(209\) −0.164822 + 0.0951598i −0.0114009 + 0.00658234i
\(210\) −1.33971 + 11.2139i −0.0924487 + 0.773835i
\(211\) 16.1424 1.11129 0.555643 0.831421i \(-0.312472\pi\)
0.555643 + 0.831421i \(0.312472\pi\)
\(212\) −1.68768 2.92315i −0.115911 0.200763i
\(213\) 2.05298 + 4.79290i 0.140668 + 0.328404i
\(214\) 18.9258 + 18.9258i 1.29374 + 1.29374i
\(215\) −0.189068 + 0.0506605i −0.0128943 + 0.00345502i
\(216\) −7.85515 2.92727i −0.534476 0.199176i
\(217\) 3.39236 5.87575i 0.230289 0.398872i
\(218\) 14.1513 24.5108i 0.958447 1.66008i
\(219\) −1.08779 + 1.45341i −0.0735063 + 0.0982123i
\(220\) −11.8342 6.83249i −0.797863 0.460646i
\(221\) 0.419318 + 3.13430i 0.0282064 + 0.210836i
\(222\) 4.19169 + 29.1342i 0.281328 + 1.95536i
\(223\) −26.1678 + 7.01163i −1.75232 + 0.469533i −0.985119 0.171871i \(-0.945019\pi\)
−0.767203 + 0.641404i \(0.778352\pi\)
\(224\) −6.50744 + 3.75707i −0.434796 + 0.251030i
\(225\) −8.21263 + 8.61643i −0.547509 + 0.574429i
\(226\) 14.2079 + 14.2079i 0.945093 + 0.945093i
\(227\) −0.509102 + 0.509102i −0.0337903 + 0.0337903i −0.723800 0.690010i \(-0.757606\pi\)
0.690010 + 0.723800i \(0.257606\pi\)
\(228\) 0.325198 0.434499i 0.0215367 0.0287754i
\(229\) −2.44737 9.13370i −0.161727 0.603572i −0.998435 0.0559233i \(-0.982190\pi\)
0.836708 0.547649i \(-0.184477\pi\)
\(230\) 25.0014 14.4345i 1.64854 0.951785i
\(231\) −1.07146 + 2.67710i −0.0704966 + 0.176141i
\(232\) 2.63675 + 9.84049i 0.173111 + 0.646060i
\(233\) −26.6077 −1.74313 −0.871565 0.490279i \(-0.836895\pi\)
−0.871565 + 0.490279i \(0.836895\pi\)
\(234\) 21.9867 + 8.44234i 1.43732 + 0.551893i
\(235\) −24.3780 −1.59024
\(236\) −3.46733 12.9403i −0.225704 0.842339i
\(237\) −17.5364 22.2950i −1.13911 1.44822i
\(238\) 1.65380 0.954824i 0.107200 0.0618920i
\(239\) 2.56301 + 9.56527i 0.165787 + 0.618726i 0.997939 + 0.0641775i \(0.0204424\pi\)
−0.832151 + 0.554549i \(0.812891\pi\)
\(240\) −10.1416 1.21160i −0.654636 0.0782083i
\(241\) −7.25437 + 7.25437i −0.467295 + 0.467295i −0.901037 0.433742i \(-0.857193\pi\)
0.433742 + 0.901037i \(0.357193\pi\)
\(242\) 12.6687 + 12.6687i 0.814372 + 0.814372i
\(243\) −11.7761 + 10.2139i −0.755439 + 0.655219i
\(244\) −14.8314 + 8.56294i −0.949486 + 0.548186i
\(245\) −2.89259 + 0.775066i −0.184801 + 0.0495172i
\(246\) 10.7824 + 4.31543i 0.687460 + 0.275142i
\(247\) −0.250234 + 0.327529i −0.0159220 + 0.0208402i
\(248\) −9.47924 5.47284i −0.601932 0.347526i
\(249\) −16.9571 2.02584i −1.07462 0.128382i
\(250\) −3.36522 + 5.82873i −0.212835 + 0.368641i
\(251\) −2.35889 + 4.08572i −0.148892 + 0.257888i −0.930818 0.365483i \(-0.880904\pi\)
0.781926 + 0.623371i \(0.214237\pi\)
\(252\) −0.197245 8.22043i −0.0124252 0.517838i
\(253\) 7.11984 1.90775i 0.447620 0.119939i
\(254\) 17.1748 + 17.1748i 1.07765 + 1.07765i
\(255\) 4.51697 + 0.539635i 0.282864 + 0.0337932i
\(256\) 0.663896 + 1.14990i 0.0414935 + 0.0718688i
\(257\) −12.5234 −0.781188 −0.390594 0.920563i \(-0.627730\pi\)
−0.390594 + 0.920563i \(0.627730\pi\)
\(258\) 0.226592 0.0970577i 0.0141070 0.00604255i
\(259\) −6.75912 + 3.90238i −0.419991 + 0.242482i
\(260\) −29.3495 3.80142i −1.82018 0.235754i
\(261\) 18.4114 + 4.46284i 1.13963 + 0.276243i
\(262\) −10.9263 + 40.7777i −0.675032 + 2.51925i
\(263\) −10.7230 6.19091i −0.661206 0.381748i 0.131530 0.991312i \(-0.458011\pi\)
−0.792736 + 0.609565i \(0.791344\pi\)
\(264\) 4.31893 + 1.72856i 0.265811 + 0.106386i
\(265\) 3.56213 0.954469i 0.218820 0.0586325i
\(266\) 0.240431 + 0.0644234i 0.0147418 + 0.00395005i
\(267\) 2.09560 17.5410i 0.128248 1.07349i
\(268\) 14.5315 + 3.89371i 0.887654 + 0.237846i
\(269\) −3.06396 1.76898i −0.186813 0.107856i 0.403677 0.914902i \(-0.367732\pi\)
−0.590490 + 0.807045i \(0.701065\pi\)
\(270\) 19.6451 27.6043i 1.19556 1.67994i
\(271\) −1.83335 0.491244i −0.111368 0.0298409i 0.202705 0.979240i \(-0.435027\pi\)
−0.314073 + 0.949399i \(0.601694\pi\)
\(272\) 0.863517 + 1.49566i 0.0523584 + 0.0906875i
\(273\) 0.0879825 + 6.24438i 0.00532494 + 0.377927i
\(274\) 21.4089 37.0813i 1.29336 2.24016i
\(275\) 4.67091 4.67091i 0.281667 0.281667i
\(276\) −16.5210 + 12.9948i −0.994448 + 0.782195i
\(277\) 3.76754i 0.226369i −0.993574 0.113185i \(-0.963895\pi\)
0.993574 0.113185i \(-0.0361052\pi\)
\(278\) 27.3773 27.3773i 1.64198 1.64198i
\(279\) −17.3780 + 10.5970i −1.04040 + 0.634426i
\(280\) 1.25040 + 4.66656i 0.0747258 + 0.278880i
\(281\) 3.61832 13.5037i 0.215851 0.805566i −0.770015 0.638026i \(-0.779751\pi\)
0.985865 0.167540i \(-0.0535822\pi\)
\(282\) 30.3877 4.37204i 1.80956 0.260351i
\(283\) 18.0131i 1.07077i 0.844608 + 0.535385i \(0.179834\pi\)
−0.844608 + 0.535385i \(0.820166\pi\)
\(284\) 5.83445 + 5.83445i 0.346211 + 0.346211i
\(285\) 0.366582 + 0.466056i 0.0217145 + 0.0276068i
\(286\) −12.0854 4.97633i −0.714627 0.294257i
\(287\) 3.07954i 0.181780i
\(288\) 22.5359 0.540737i 1.32794 0.0318632i
\(289\) 8.11540 + 14.0563i 0.477376 + 0.826840i
\(290\) −41.1753 −2.41790
\(291\) 15.7463 + 11.7852i 0.923062 + 0.690859i
\(292\) −0.743545 + 2.77495i −0.0435127 + 0.162392i
\(293\) 3.96080 14.7819i 0.231392 0.863568i −0.748350 0.663305i \(-0.769153\pi\)
0.979742 0.200264i \(-0.0641799\pi\)
\(294\) 3.46668 1.48491i 0.202181 0.0866015i
\(295\) 14.6367 0.852182
\(296\) 6.29564 + 10.9044i 0.365927 + 0.633803i
\(297\) 6.66913 5.50970i 0.386982 0.319705i
\(298\) 10.2346i 0.592876i
\(299\) 12.6444 9.74450i 0.731243 0.563539i
\(300\) −6.99928 + 17.4882i −0.404103 + 1.00968i
\(301\) 0.0462185 + 0.0462185i 0.00266399 + 0.00266399i
\(302\) 13.7493i 0.791186i
\(303\) 4.09398 10.2291i 0.235193 0.587646i
\(304\) −0.0582628 + 0.217440i −0.00334160 + 0.0124710i
\(305\) −4.84277 18.0735i −0.277296 1.03488i
\(306\) −5.72729 + 0.137423i −0.327408 + 0.00785596i
\(307\) −18.7538 + 18.7538i −1.07034 + 1.07034i −0.0730043 + 0.997332i \(0.523259\pi\)
−0.997332 + 0.0730043i \(0.976741\pi\)
\(308\) 4.56317i 0.260011i
\(309\) 20.7134 + 8.29011i 1.17834 + 0.471608i
\(310\) 31.2818 31.2818i 1.77669 1.77669i
\(311\) 9.90355 17.1534i 0.561579 0.972683i −0.435780 0.900053i \(-0.643528\pi\)
0.997359 0.0726297i \(-0.0231391\pi\)
\(312\) 10.0739 0.141941i 0.570325 0.00803581i
\(313\) −13.1664 22.8048i −0.744207 1.28901i −0.950564 0.310528i \(-0.899494\pi\)
0.206357 0.978477i \(-0.433839\pi\)
\(314\) 37.0845 + 9.93676i 2.09280 + 0.560764i
\(315\) 8.73104 + 2.11637i 0.491938 + 0.119244i
\(316\) −38.8737 22.4438i −2.18682 1.26256i
\(317\) −11.1864 2.99738i −0.628290 0.168350i −0.0693965 0.997589i \(-0.522107\pi\)
−0.558894 + 0.829239i \(0.688774\pi\)
\(318\) −4.26910 + 1.82861i −0.239399 + 0.102544i
\(319\) −10.1549 2.72099i −0.568563 0.152346i
\(320\) −35.9339 + 9.62845i −2.00876 + 0.538247i
\(321\) 16.7347 13.1629i 0.934039 0.734680i
\(322\) −8.34874 4.82015i −0.465257 0.268616i
\(323\) 0.0259497 0.0968457i 0.00144388 0.00538864i
\(324\) −11.2954 + 21.9304i −0.627521 + 1.21836i
\(325\) 5.44701 13.2285i 0.302146 0.733786i
\(326\) 10.4046 6.00710i 0.576258 0.332703i
\(327\) −18.0248 13.4905i −0.996772 0.746027i
\(328\) 4.96817 0.274321
\(329\) 4.07029 + 7.04994i 0.224402 + 0.388676i
\(330\) −11.2662 + 15.0528i −0.620182 + 0.828630i
\(331\) 13.9213 + 13.9213i 0.765185 + 0.765185i 0.977254 0.212070i \(-0.0680205\pi\)
−0.212070 + 0.977254i \(0.568020\pi\)
\(332\) −26.1043 + 6.99462i −1.43266 + 0.383880i
\(333\) 23.4075 0.561651i 1.28272 0.0307783i
\(334\) 0.466125 0.807353i 0.0255052 0.0441764i
\(335\) −8.21830 + 14.2345i −0.449014 + 0.777714i
\(336\) 1.34291 + 3.13517i 0.0732618 + 0.171038i
\(337\) −17.4846 10.0948i −0.952448 0.549896i −0.0586077 0.998281i \(-0.518666\pi\)
−0.893841 + 0.448385i \(0.851999\pi\)
\(338\) −28.3055 + 0.118546i −1.53962 + 0.00644804i
\(339\) 12.5630 9.88155i 0.682326 0.536692i
\(340\) 6.95354 1.86320i 0.377109 0.101046i
\(341\) 9.78208 5.64768i 0.529729 0.305839i
\(342\) −0.540538 0.515206i −0.0292289 0.0278592i
\(343\) 0.707107 + 0.707107i 0.0381802 + 0.0381802i
\(344\) 0.0745635 0.0745635i 0.00402020 0.00402020i
\(345\) −9.04208 21.1097i −0.486809 1.13651i
\(346\) 10.2894 + 38.4004i 0.553159 + 2.06442i
\(347\) 14.5084 8.37642i 0.778851 0.449670i −0.0571720 0.998364i \(-0.518208\pi\)
0.836023 + 0.548695i \(0.184875\pi\)
\(348\) 29.6737 4.26931i 1.59068 0.228859i
\(349\) 2.44309 + 9.11775i 0.130776 + 0.488062i 0.999980 0.00639220i \(-0.00203471\pi\)
−0.869204 + 0.494454i \(0.835368\pi\)
\(350\) −8.63934 −0.461792
\(351\) 8.74303 16.5698i 0.466668 0.884432i
\(352\) −12.5097 −0.666770
\(353\) −4.59301 17.1413i −0.244461 0.912342i −0.973653 0.228033i \(-0.926771\pi\)
0.729192 0.684309i \(-0.239896\pi\)
\(354\) −18.2450 + 2.62500i −0.969711 + 0.139517i
\(355\) −7.80710 + 4.50743i −0.414358 + 0.239230i
\(356\) −7.23546 27.0031i −0.383478 1.43116i
\(357\) −0.598120 1.39638i −0.0316559 0.0739041i
\(358\) 5.82484 5.82484i 0.307852 0.307852i
\(359\) −22.8272 22.8272i −1.20478 1.20478i −0.972697 0.232078i \(-0.925447\pi\)
−0.232078 0.972697i \(-0.574553\pi\)
\(360\) 3.41431 14.0856i 0.179950 0.742378i
\(361\) −16.4432 + 9.49347i −0.865430 + 0.499656i
\(362\) 28.1041 7.53046i 1.47712 0.395792i
\(363\) 11.2020 8.81103i 0.587950 0.462459i
\(364\) 3.80101 + 9.12237i 0.199227 + 0.478142i
\(365\) −2.71823 1.56937i −0.142279 0.0821446i
\(366\) 9.27799 + 21.6605i 0.484968 + 1.13221i
\(367\) 2.91002 5.04030i 0.151902 0.263102i −0.780025 0.625749i \(-0.784794\pi\)
0.931927 + 0.362647i \(0.118127\pi\)
\(368\) 4.35921 7.55038i 0.227240 0.393591i
\(369\) 4.42606 8.10939i 0.230412 0.422158i
\(370\) −49.1561 + 13.1713i −2.55551 + 0.684746i
\(371\) −0.870779 0.870779i −0.0452086 0.0452086i
\(372\) −19.3003 + 25.7873i −1.00067 + 1.33701i
\(373\) 6.66113 + 11.5374i 0.344900 + 0.597385i 0.985336 0.170627i \(-0.0545794\pi\)
−0.640435 + 0.768012i \(0.721246\pi\)
\(374\) 3.17922 0.164394
\(375\) 4.28634 + 3.20808i 0.221346 + 0.165664i
\(376\) 11.3736 6.56652i 0.586546 0.338643i
\(377\) −22.5674 + 3.01915i −1.16228 + 0.155494i
\(378\) −11.2630 1.07225i −0.579307 0.0551506i
\(379\) 2.65919 9.92423i 0.136593 0.509773i −0.863393 0.504532i \(-0.831665\pi\)
0.999986 0.00524117i \(-0.00166832\pi\)
\(380\) 0.812619 + 0.469166i 0.0416865 + 0.0240677i
\(381\) 15.1864 11.9451i 0.778025 0.611965i
\(382\) 21.5700 5.77967i 1.10362 0.295714i
\(383\) −0.882876 0.236566i −0.0451128 0.0120880i 0.236192 0.971706i \(-0.424101\pi\)
−0.281305 + 0.959618i \(0.590767\pi\)
\(384\) 19.1385 8.19773i 0.976657 0.418339i
\(385\) −4.81564 1.29035i −0.245428 0.0657622i
\(386\) −35.2104 20.3287i −1.79216 1.03470i
\(387\) −0.0552802 0.188135i −0.00281005 0.00956344i
\(388\) 30.0638 + 8.05558i 1.52626 + 0.408960i
\(389\) −1.56916 2.71787i −0.0795598 0.137802i 0.823500 0.567316i \(-0.192018\pi\)
−0.903060 + 0.429514i \(0.858685\pi\)
\(390\) −9.98391 + 39.4770i −0.505555 + 1.99900i
\(391\) −1.94155 + 3.36287i −0.0981886 + 0.170068i
\(392\) 1.14076 1.14076i 0.0576172 0.0576172i
\(393\) 31.1777 + 12.4782i 1.57271 + 0.629444i
\(394\) 49.2041i 2.47887i
\(395\) 34.6781 34.6781i 1.74484 1.74484i
\(396\) 6.55840 12.0162i 0.329572 0.603838i
\(397\) 4.98685 + 18.6112i 0.250283 + 0.934068i 0.970654 + 0.240480i \(0.0773047\pi\)
−0.720371 + 0.693589i \(0.756029\pi\)
\(398\) 12.4022 46.2858i 0.621669 2.32010i
\(399\) 0.0735736 0.183828i 0.00368329 0.00920293i
\(400\) 7.81319i 0.390659i
\(401\) −21.1882 21.1882i −1.05809 1.05809i −0.998205 0.0598821i \(-0.980928\pi\)
−0.0598821 0.998205i \(-0.519072\pi\)
\(402\) 7.69143 19.2176i 0.383614 0.958485i
\(403\) 14.8513 19.4387i 0.739794 0.968310i
\(404\) 17.4356i 0.867456i
\(405\) −19.9498 18.1217i −0.991313 0.900476i
\(406\) 6.87487 + 11.9076i 0.341194 + 0.590965i
\(407\) −12.9935 −0.644066
\(408\) −2.25275 + 0.964937i −0.111528 + 0.0477715i
\(409\) 3.12901 11.6776i 0.154720 0.577422i −0.844409 0.535698i \(-0.820048\pi\)
0.999129 0.0417236i \(-0.0132849\pi\)
\(410\) −5.19705 + 19.3957i −0.256664 + 0.957883i
\(411\) −27.2689 20.4092i −1.34508 1.00671i
\(412\) 35.3063 1.73942
\(413\) −2.44383 4.23283i −0.120253 0.208284i
\(414\) 15.0571 + 24.6921i 0.740015 + 1.21355i
\(415\) 29.5265i 1.44940i
\(416\) −25.0085 + 10.4203i −1.22614 + 0.510897i
\(417\) −19.0409 24.2077i −0.932435 1.18546i
\(418\) 0.293022 + 0.293022i 0.0143322 + 0.0143322i
\(419\) 2.39407i 0.116958i 0.998289 + 0.0584790i \(0.0186251\pi\)
−0.998289 + 0.0584790i \(0.981375\pi\)
\(420\) 14.0719 2.02460i 0.686638 0.0987902i
\(421\) −8.37172 + 31.2437i −0.408013 + 1.52272i 0.390418 + 0.920638i \(0.372330\pi\)
−0.798431 + 0.602087i \(0.794336\pi\)
\(422\) −9.09694 33.9502i −0.442832 1.65267i
\(423\) −0.585817 24.4147i −0.0284834 1.18708i
\(424\) −1.40481 + 1.40481i −0.0682237 + 0.0682237i
\(425\) 3.47992i 0.168801i
\(426\) 8.92336 7.01878i 0.432338 0.340061i
\(427\) −4.41814 + 4.41814i −0.213809 + 0.213809i
\(428\) 16.8463 29.1787i 0.814299 1.41041i
\(429\) −5.07104 + 9.07625i −0.244832 + 0.438205i
\(430\) 0.213096 + 0.369093i 0.0102764 + 0.0177993i
\(431\) 32.3475 + 8.66748i 1.55812 + 0.417498i 0.932069 0.362282i \(-0.118002\pi\)
0.626054 + 0.779780i \(0.284669\pi\)
\(432\) 0.969715 10.1860i 0.0466554 0.490073i
\(433\) 32.6280 + 18.8378i 1.56800 + 0.905286i 0.996402 + 0.0847536i \(0.0270103\pi\)
0.571600 + 0.820533i \(0.306323\pi\)
\(434\) −14.2695 3.82350i −0.684957 0.183534i
\(435\) −3.88545 + 32.5228i −0.186293 + 1.55935i
\(436\) −34.4141 9.22123i −1.64814 0.441617i
\(437\) −0.488897 + 0.131000i −0.0233871 + 0.00626656i
\(438\) 3.66980 + 1.46876i 0.175350 + 0.0701801i
\(439\) −16.3961 9.46632i −0.782545 0.451803i 0.0547863 0.998498i \(-0.482552\pi\)
−0.837332 + 0.546695i \(0.815886\pi\)
\(440\) −2.08170 + 7.76900i −0.0992410 + 0.370372i
\(441\) −0.845744 2.87832i −0.0402735 0.137063i
\(442\) 6.35568 2.64822i 0.302309 0.125963i
\(443\) 7.96778 4.60020i 0.378561 0.218562i −0.298631 0.954369i \(-0.596530\pi\)
0.677192 + 0.735806i \(0.263197\pi\)
\(444\) 34.0596 14.5890i 1.61640 0.692363i
\(445\) 30.5432 1.44788
\(446\) 29.4934 + 51.0840i 1.39655 + 2.41890i
\(447\) −8.08394 0.965775i −0.382357 0.0456796i
\(448\) 8.78420 + 8.78420i 0.415015 + 0.415015i
\(449\) 10.8963 2.91965i 0.514228 0.137787i 0.00763260 0.999971i \(-0.497570\pi\)
0.506595 + 0.862184i \(0.330904\pi\)
\(450\) 22.7501 + 12.4169i 1.07245 + 0.585336i
\(451\) −2.56345 + 4.44002i −0.120708 + 0.209072i
\(452\) 12.6468 21.9049i 0.594855 1.03032i
\(453\) 10.8601 + 1.29744i 0.510251 + 0.0609589i
\(454\) 1.35763 + 0.783830i 0.0637169 + 0.0367870i
\(455\) −10.7019 + 1.43174i −0.501714 + 0.0671211i
\(456\) −0.296567 0.118695i −0.0138880 0.00555840i
\(457\) 6.60893 1.77086i 0.309153 0.0828373i −0.100907 0.994896i \(-0.532174\pi\)
0.410060 + 0.912059i \(0.365508\pi\)
\(458\) −17.8306 + 10.2945i −0.833168 + 0.481030i
\(459\) −0.431902 + 4.53674i −0.0201595 + 0.211757i
\(460\) −25.6971 25.6971i −1.19813 1.19813i
\(461\) −28.8513 + 28.8513i −1.34374 + 1.34374i −0.451432 + 0.892306i \(0.649087\pi\)
−0.892306 + 0.451432i \(0.850913\pi\)
\(462\) 6.23423 + 0.744794i 0.290043 + 0.0346509i
\(463\) 9.79736 + 36.5642i 0.455322 + 1.69928i 0.687140 + 0.726525i \(0.258866\pi\)
−0.231818 + 0.972759i \(0.574468\pi\)
\(464\) −10.7689 + 6.21745i −0.499935 + 0.288638i
\(465\) −21.7565 27.6602i −1.00893 1.28271i
\(466\) 14.9946 + 55.9608i 0.694613 + 2.59233i
\(467\) 35.8726 1.65998 0.829992 0.557776i \(-0.188345\pi\)
0.829992 + 0.557776i \(0.188345\pi\)
\(468\) 3.10186 29.4850i 0.143384 1.36294i
\(469\) 5.48870 0.253444
\(470\) 13.7381 + 51.2712i 0.633690 + 2.36496i
\(471\) 11.3481 28.3540i 0.522893 1.30648i
\(472\) −6.82876 + 3.94259i −0.314319 + 0.181472i
\(473\) 0.0281640 + 0.105110i 0.00129498 + 0.00483295i
\(474\) −37.0078 + 49.4464i −1.69982 + 2.27115i
\(475\) −0.320737 + 0.320737i −0.0147164 + 0.0147164i
\(476\) −1.69983 1.69983i −0.0779114 0.0779114i
\(477\) 1.04151 + 3.54455i 0.0476873 + 0.162294i
\(478\) 18.6731 10.7809i 0.854087 0.493107i
\(479\) 29.9634 8.02866i 1.36906 0.366839i 0.501926 0.864911i \(-0.332625\pi\)
0.867136 + 0.498072i \(0.165958\pi\)
\(480\) 5.55034 + 38.5774i 0.253337 + 1.76081i
\(481\) −25.9758 + 10.8233i −1.18439 + 0.493500i
\(482\) 19.3454 + 11.1691i 0.881158 + 0.508737i
\(483\) −4.59507 + 6.13951i −0.209083 + 0.279357i
\(484\) 11.2767 19.5318i 0.512577 0.887810i
\(485\) −17.0026 + 29.4493i −0.772047 + 1.33723i
\(486\) 28.1179 + 19.0113i 1.27545 + 0.862370i
\(487\) 5.19379 1.39167i 0.235353 0.0630627i −0.139215 0.990262i \(-0.544458\pi\)
0.374568 + 0.927200i \(0.377791\pi\)
\(488\) 7.12771 + 7.12771i 0.322656 + 0.322656i
\(489\) −3.76297 8.78506i −0.170167 0.397274i
\(490\) 3.26020 + 5.64684i 0.147281 + 0.255098i
\(491\) −20.2830 −0.915361 −0.457680 0.889117i \(-0.651320\pi\)
−0.457680 + 0.889117i \(0.651320\pi\)
\(492\) 1.73429 14.5167i 0.0781876 0.654463i
\(493\) 4.79639 2.76920i 0.216018 0.124718i
\(494\) 0.829870 + 0.341709i 0.0373376 + 0.0153742i
\(495\) 10.8265 + 10.3192i 0.486617 + 0.463812i
\(496\) 3.45787 12.9049i 0.155263 0.579449i
\(497\) 2.60704 + 1.50517i 0.116942 + 0.0675163i
\(498\) 5.29540 + 36.8055i 0.237293 + 1.64929i
\(499\) −29.8871 + 8.00823i −1.33793 + 0.358498i −0.855666 0.517528i \(-0.826852\pi\)
−0.482265 + 0.876026i \(0.660186\pi\)
\(500\) 8.18377 + 2.19283i 0.365989 + 0.0980665i
\(501\) −0.593712 0.444359i −0.0265251 0.0198525i
\(502\) 9.92233 + 2.65868i 0.442855 + 0.118663i
\(503\) −13.9822 8.07265i −0.623438 0.359942i 0.154769 0.987951i \(-0.450537\pi\)
−0.778206 + 0.628009i \(0.783870\pi\)
\(504\) −4.64354 + 1.36442i −0.206840 + 0.0607763i
\(505\) 18.4004 + 4.93036i 0.818805 + 0.219398i
\(506\) −8.02469 13.8992i −0.356741 0.617893i
\(507\) −2.57738 + 22.3687i −0.114465 + 0.993427i
\(508\) 15.2878 26.4792i 0.678285 1.17482i
\(509\) 0.0582470 0.0582470i 0.00258175 0.00258175i −0.705815 0.708396i \(-0.749419\pi\)
0.708396 + 0.705815i \(0.249419\pi\)
\(510\) −1.41057 9.80409i −0.0624609 0.434132i
\(511\) 1.04812i 0.0463663i
\(512\) −14.9554 + 14.9554i −0.660941 + 0.660941i
\(513\) −0.457949 + 0.378334i −0.0202189 + 0.0167039i
\(514\) 7.05749 + 26.3389i 0.311293 + 1.16176i
\(515\) −9.98373 + 37.2598i −0.439936 + 1.64186i
\(516\) −0.191841 0.243899i −0.00844535 0.0107370i
\(517\) 13.5526i 0.596043i
\(518\) 12.0165 + 12.0165i 0.527973 + 0.527973i
\(519\) 31.3020 4.50358i 1.37400 0.197685i
\(520\) 2.30980 + 17.2652i 0.101292 + 0.757131i
\(521\) 29.7978i 1.30546i −0.757589 0.652732i \(-0.773623\pi\)
0.757589 0.652732i \(-0.226377\pi\)
\(522\) −0.989467 41.2373i −0.0433078 1.80491i
\(523\) −2.83751 4.91472i −0.124076 0.214906i 0.797295 0.603589i \(-0.206263\pi\)
−0.921371 + 0.388684i \(0.872930\pi\)
\(524\) 53.1429 2.32156
\(525\) −0.815238 + 6.82389i −0.0355799 + 0.297819i
\(526\) −6.97770 + 26.0411i −0.304242 + 1.13545i
\(527\) −1.54010 + 5.74775i −0.0670880 + 0.250376i
\(528\) −0.673572 + 5.63808i −0.0293134 + 0.245366i
\(529\) −3.39727 −0.147707
\(530\) −4.01483 6.95389i −0.174393 0.302058i
\(531\) 0.351729 + 14.6588i 0.0152637 + 0.636136i
\(532\) 0.313339i 0.0135849i
\(533\) −1.42624 + 11.0115i −0.0617771 + 0.476960i
\(534\) −38.0728 + 5.47773i −1.64757 + 0.237045i
\(535\) 26.0295 + 26.0295i 1.12535 + 1.12535i
\(536\) 8.85482i 0.382470i
\(537\) −4.05117 5.15047i −0.174821 0.222259i
\(538\) −1.99379 + 7.44094i −0.0859586 + 0.320802i
\(539\) 0.430888 + 1.60810i 0.0185597 + 0.0692656i
\(540\) −39.9655 14.8934i −1.71984 0.640910i
\(541\) 14.7256 14.7256i 0.633101 0.633101i −0.315743 0.948845i \(-0.602254\pi\)
0.948845 + 0.315743i \(0.102254\pi\)
\(542\) 4.13269i 0.177514i
\(543\) −3.29603 22.9090i −0.141446 0.983117i
\(544\) 4.66000 4.66000i 0.199796 0.199796i
\(545\) 19.4629 33.7107i 0.833698 1.44401i
\(546\) 13.0834 3.70403i 0.559920 0.158518i
\(547\) −18.4674 31.9864i −0.789608 1.36764i −0.926207 0.377015i \(-0.876951\pi\)
0.136599 0.990626i \(-0.456383\pi\)
\(548\) −52.0636 13.9504i −2.22405 0.595932i
\(549\) 17.9843 5.28438i 0.767551 0.225532i
\(550\) −12.4560 7.19148i −0.531126 0.306646i
\(551\) 0.697303 + 0.186842i 0.0297061 + 0.00795973i
\(552\) 9.90476 + 7.41314i 0.421575 + 0.315524i
\(553\) −15.8187 4.23861i −0.672680 0.180244i
\(554\) −7.92379 + 2.12317i −0.336650 + 0.0902050i
\(555\) 5.76500 + 40.0695i 0.244711 + 1.70085i
\(556\) −42.2087 24.3692i −1.79005 1.03349i
\(557\) −7.33692 + 27.3818i −0.310875 + 1.16020i 0.616894 + 0.787047i \(0.288391\pi\)
−0.927769 + 0.373156i \(0.878276\pi\)
\(558\) 32.0807 + 30.5772i 1.35808 + 1.29444i
\(559\) 0.143857 + 0.186668i 0.00608452 + 0.00789522i
\(560\) −5.10685 + 2.94844i −0.215804 + 0.124594i
\(561\) 0.300003 2.51115i 0.0126661 0.106021i
\(562\) −30.4398 −1.28403
\(563\) 17.6997 + 30.6568i 0.745954 + 1.29203i 0.949748 + 0.313017i \(0.101340\pi\)
−0.203793 + 0.979014i \(0.565327\pi\)
\(564\) −15.2167 35.5251i −0.640739 1.49587i
\(565\) 19.5407 + 19.5407i 0.822083 + 0.822083i
\(566\) 37.8848 10.1512i 1.59242 0.426687i
\(567\) −1.90975 + 8.79505i −0.0802019 + 0.369357i
\(568\) 2.42827 4.20589i 0.101888 0.176475i
\(569\) −6.41099 + 11.1042i −0.268763 + 0.465510i −0.968543 0.248848i \(-0.919948\pi\)
0.699780 + 0.714358i \(0.253281\pi\)
\(570\) 0.773613 1.03363i 0.0324031 0.0432940i
\(571\) 15.7607 + 9.09946i 0.659566 + 0.380801i 0.792112 0.610376i \(-0.208982\pi\)
−0.132546 + 0.991177i \(0.542315\pi\)
\(572\) −2.11335 + 16.3164i −0.0883636 + 0.682224i
\(573\) −2.52972 17.5827i −0.105681 0.734529i
\(574\) 6.47682 1.73546i 0.270337 0.0724366i
\(575\) 15.2138 8.78369i 0.634459 0.366305i
\(576\) −10.5065 35.7566i −0.437769 1.48986i
\(577\) −11.9771 11.9771i −0.498614 0.498614i 0.412392 0.911006i \(-0.364693\pi\)
−0.911006 + 0.412392i \(0.864693\pi\)
\(578\) 24.9894 24.9894i 1.03942 1.03942i
\(579\) −19.3795 + 25.8931i −0.805383 + 1.07608i
\(580\) 13.4153 + 50.0665i 0.557039 + 2.07890i
\(581\) −8.53886 + 4.92991i −0.354252 + 0.204527i
\(582\) 15.9126 39.7586i 0.659597 1.64805i
\(583\) −0.530624 1.98032i −0.0219762 0.0820163i
\(584\) 1.69092 0.0699708
\(585\) 30.2393 + 11.6111i 1.25024 + 0.480060i
\(586\) −33.3210 −1.37648
\(587\) −7.50211 27.9983i −0.309645 1.15561i −0.928872 0.370400i \(-0.879221\pi\)
0.619227 0.785212i \(-0.287446\pi\)
\(588\) −2.93502 3.73146i −0.121038 0.153883i
\(589\) −0.671705 + 0.387809i −0.0276771 + 0.0159794i
\(590\) −8.24843 30.7836i −0.339583 1.26734i
\(591\) −38.8645 4.64308i −1.59867 0.190991i
\(592\) −10.8674 + 10.8674i −0.446646 + 0.446646i
\(593\) −6.02126 6.02126i −0.247264 0.247264i 0.572583 0.819847i \(-0.305941\pi\)
−0.819847 + 0.572583i \(0.805941\pi\)
\(594\) −15.3462 10.9214i −0.629663 0.448111i
\(595\) 2.27455 1.31321i 0.0932473 0.0538363i
\(596\) −12.4446 + 3.33453i −0.509752 + 0.136588i
\(597\) −35.3891 14.1638i −1.44838 0.579684i
\(598\) −27.6201 21.1019i −1.12947 0.862920i
\(599\) 13.9622 + 8.06108i 0.570480 + 0.329367i 0.757341 0.653020i \(-0.226498\pi\)
−0.186861 + 0.982386i \(0.559831\pi\)
\(600\) 11.0089 + 1.31521i 0.449435 + 0.0536932i
\(601\) −9.95872 + 17.2490i −0.406224 + 0.703601i −0.994463 0.105086i \(-0.966488\pi\)
0.588239 + 0.808687i \(0.299822\pi\)
\(602\) 0.0711595 0.123252i 0.00290024 0.00502337i
\(603\) −14.4534 7.88861i −0.588589 0.321249i
\(604\) 16.7183 4.47966i 0.680258 0.182275i
\(605\) 17.4237 + 17.4237i 0.708376 + 0.708376i
\(606\) −23.8207 2.84582i −0.967651 0.115604i
\(607\) 19.0984 + 33.0794i 0.775181 + 1.34265i 0.934693 + 0.355457i \(0.115675\pi\)
−0.159512 + 0.987196i \(0.550992\pi\)
\(608\) 0.859003 0.0348372
\(609\) 10.0541 4.30655i 0.407413 0.174510i
\(610\) −35.2825 + 20.3704i −1.42855 + 0.824773i
\(611\) 11.2890 + 27.0934i 0.456704 + 1.09608i
\(612\) 2.03310 + 6.91924i 0.0821832 + 0.279694i
\(613\) 10.1596 37.9162i 0.410343 1.53142i −0.383641 0.923482i \(-0.625330\pi\)
0.793984 0.607938i \(-0.208003\pi\)
\(614\) 50.0111 + 28.8739i 2.01829 + 1.16526i
\(615\) 14.8295 + 5.93520i 0.597983 + 0.239330i
\(616\) 2.59431 0.695144i 0.104528 0.0280081i
\(617\) −36.0718 9.66541i −1.45220 0.389115i −0.555409 0.831578i \(-0.687438\pi\)
−0.896787 + 0.442463i \(0.854105\pi\)
\(618\) 5.76264 48.2357i 0.231808 1.94033i
\(619\) −10.7529 2.88123i −0.432196 0.115807i 0.0361609 0.999346i \(-0.488487\pi\)
−0.468357 + 0.883539i \(0.655154\pi\)
\(620\) −48.2285 27.8448i −1.93690 1.11827i
\(621\) 20.9242 9.56298i 0.839660 0.383749i
\(622\) −41.6578 11.1622i −1.67033 0.447563i
\(623\) −5.09966 8.83287i −0.204314 0.353882i
\(624\) 3.34982 + 11.8323i 0.134100 + 0.473672i
\(625\) −14.5478 + 25.1975i −0.581912 + 1.00790i
\(626\) −40.5427 + 40.5427i −1.62041 + 1.62041i
\(627\) 0.259098 0.203797i 0.0103474 0.00813885i
\(628\) 48.3298i 1.92857i
\(629\) 4.84023 4.84023i 0.192992 0.192992i
\(630\) −0.469225 19.5556i −0.0186944 0.779113i
\(631\) −5.27938 19.7029i −0.210169 0.784361i −0.987812 0.155654i \(-0.950251\pi\)
0.777643 0.628706i \(-0.216415\pi\)
\(632\) −6.83808 + 25.5200i −0.272004 + 1.01513i
\(633\) −27.6744 + 3.98166i −1.09996 + 0.158257i
\(634\) 25.2161i 1.00146i
\(635\) 23.6213 + 23.6213i 0.937382 + 0.937382i
\(636\) 3.61438 + 4.59517i 0.143320 + 0.182210i
\(637\) 2.20091 + 2.85587i 0.0872031 + 0.113154i
\(638\) 22.8909i 0.906258i
\(639\) −4.70183 7.71054i −0.186002 0.305024i
\(640\) 17.9986 + 31.1745i 0.711457 + 1.23228i
\(641\) −37.8500 −1.49499 −0.747493 0.664270i \(-0.768743\pi\)
−0.747493 + 0.664270i \(0.768743\pi\)
\(642\) −37.1146 27.7781i −1.46480 1.09631i
\(643\) −11.3141 + 42.2249i −0.446186 + 1.66519i 0.266600 + 0.963807i \(0.414100\pi\)
−0.712786 + 0.701381i \(0.752567\pi\)
\(644\) −3.14089 + 11.7220i −0.123768 + 0.461910i
\(645\) 0.311641 0.133488i 0.0122709 0.00525607i
\(646\) −0.218307 −0.00858919
\(647\) 12.0617 + 20.8915i 0.474195 + 0.821330i 0.999563 0.0295449i \(-0.00940579\pi\)
−0.525368 + 0.850875i \(0.676072\pi\)
\(648\) 14.1889 + 3.08096i 0.557393 + 0.121032i
\(649\) 8.13708i 0.319408i
\(650\) −30.8915 4.00116i −1.21167 0.156938i
\(651\) −4.36655 + 10.9101i −0.171139 + 0.427602i
\(652\) −10.6942 10.6942i −0.418815 0.418815i
\(653\) 28.0282i 1.09683i −0.836207 0.548413i \(-0.815232\pi\)
0.836207 0.548413i \(-0.184768\pi\)
\(654\) −18.2151 + 45.5118i −0.712269 + 1.77965i
\(655\) −15.0275 + 56.0833i −0.587172 + 2.19135i
\(656\) 1.56950 + 5.85746i 0.0612788 + 0.228696i
\(657\) 1.50641 2.76004i 0.0587708 0.107679i
\(658\) 12.5335 12.5335i 0.488606 0.488606i
\(659\) 26.8463i 1.04578i 0.852399 + 0.522891i \(0.175147\pi\)
−0.852399 + 0.522891i \(0.824853\pi\)
\(660\) 21.9739 + 8.79458i 0.855331 + 0.342329i
\(661\) 15.7368 15.7368i 0.612091 0.612091i −0.331400 0.943491i \(-0.607521\pi\)
0.943491 + 0.331400i \(0.107521\pi\)
\(662\) 21.4337 37.1243i 0.833044 1.44287i
\(663\) −1.49198 5.27001i −0.0579438 0.204670i
\(664\) 7.95335 + 13.7756i 0.308650 + 0.534597i
\(665\) 0.330675 + 0.0886042i 0.0128230 + 0.00343592i
\(666\) −14.3724 48.9136i −0.556920 1.89537i
\(667\) −24.2131 13.9795i −0.937537 0.541287i
\(668\) −1.13356 0.303735i −0.0438586 0.0117519i
\(669\) 43.1325 18.4752i 1.66760 0.714294i
\(670\) 34.5691 + 9.26275i 1.33552 + 0.357851i
\(671\) −10.0477 + 2.69227i −0.387887 + 0.103934i
\(672\) 10.2296 8.04623i 0.394616 0.310390i
\(673\) 20.6236 + 11.9070i 0.794980 + 0.458982i 0.841713 0.539925i \(-0.181548\pi\)
−0.0467326 + 0.998907i \(0.514881\pi\)
\(674\) −11.3777 + 42.4621i −0.438252 + 1.63558i
\(675\) 11.9544 16.7977i 0.460125 0.646544i
\(676\) 9.36633 + 34.3791i 0.360244 + 1.32227i
\(677\) 35.2413 20.3465i 1.35443 0.781981i 0.365565 0.930786i \(-0.380876\pi\)
0.988867 + 0.148805i \(0.0475425\pi\)
\(678\) −27.8624 20.8534i −1.07005 0.800871i
\(679\) 11.3554 0.435780
\(680\) −2.11858 3.66948i −0.0812437 0.140718i
\(681\) 0.747229 0.998378i 0.0286339 0.0382579i
\(682\) −17.3907 17.3907i −0.665925 0.665925i
\(683\) −12.6069 + 3.37802i −0.482391 + 0.129256i −0.491816 0.870699i \(-0.663667\pi\)
0.00942460 + 0.999956i \(0.497000\pi\)
\(684\) −0.450345 + 0.825118i −0.0172194 + 0.0315492i
\(685\) 29.4446 50.9995i 1.12502 1.94859i
\(686\) 1.08868 1.88566i 0.0415662 0.0719947i
\(687\) 6.44867 + 15.0551i 0.246032 + 0.574389i
\(688\) 0.111466 + 0.0643548i 0.00424959 + 0.00245350i
\(689\) −2.71034 3.51691i −0.103256 0.133984i
\(690\) −39.3018 + 30.9134i −1.49620 + 1.17685i
\(691\) 12.4403 3.33338i 0.473253 0.126808i −0.0143063 0.999898i \(-0.504554\pi\)
0.487559 + 0.873090i \(0.337887\pi\)
\(692\) 43.3400 25.0224i 1.64754 0.951208i
\(693\) 1.17657 4.85391i 0.0446941 0.184385i
\(694\) −25.7932 25.7932i −0.979097 0.979097i
\(695\) 37.6531 37.6531i 1.42826 1.42826i
\(696\) −6.94769 16.2201i −0.263351 0.614822i
\(697\) −0.699043 2.60886i −0.0264781 0.0988177i
\(698\) 17.7994 10.2765i 0.673719 0.388972i
\(699\) 45.6162 6.56305i 1.72536 0.248237i
\(700\) 2.81477 + 10.5049i 0.106388 + 0.397047i
\(701\) −13.2460 −0.500294 −0.250147 0.968208i \(-0.580479\pi\)
−0.250147 + 0.968208i \(0.580479\pi\)
\(702\) −39.7764 9.05029i −1.50126 0.341581i
\(703\) 0.892226 0.0336509
\(704\) 5.35281 + 19.9769i 0.201742 + 0.752910i
\(705\) 41.7936 6.01306i 1.57404 0.226465i
\(706\) −33.4629 + 19.3198i −1.25939 + 0.727111i
\(707\) −1.64640 6.14446i −0.0619193 0.231086i
\(708\) 9.13622 + 21.3295i 0.343360 + 0.801611i
\(709\) −13.7602 + 13.7602i −0.516776 + 0.516776i −0.916594 0.399819i \(-0.869073\pi\)
0.399819 + 0.916594i \(0.369073\pi\)
\(710\) 13.8796 + 13.8796i 0.520891 + 0.520891i
\(711\) 35.5636 + 33.8970i 1.33374 + 1.27124i
\(712\) −14.2499 + 8.22719i −0.534038 + 0.308327i
\(713\) 29.0158 7.77476i 1.08665 0.291167i
\(714\) −2.59976 + 2.04487i −0.0972936 + 0.0765275i
\(715\) −16.6216 6.84416i −0.621613 0.255957i
\(716\) −8.98041 5.18484i −0.335614 0.193767i
\(717\) −6.75338 15.7665i −0.252209 0.588810i
\(718\) −35.1455 + 60.8739i −1.31162 + 2.27179i
\(719\) 12.4012 21.4795i 0.462486 0.801049i −0.536598 0.843838i \(-0.680291\pi\)
0.999084 + 0.0427888i \(0.0136242\pi\)
\(720\) 17.6856 0.424355i 0.659102 0.0158148i
\(721\) 12.4422 3.33388i 0.463372 0.124160i
\(722\) 29.2329 + 29.2329i 1.08794 + 1.08794i
\(723\) 10.6475 14.2262i 0.395985 0.529079i
\(724\) −18.3131 31.7192i −0.680601 1.17884i
\(725\) −25.0560 −0.930555
\(726\) −24.8440 18.5943i −0.922046 0.690098i
\(727\) 14.0053 8.08599i 0.519430 0.299893i −0.217272 0.976111i \(-0.569716\pi\)
0.736701 + 0.676218i \(0.236382\pi\)
\(728\) 4.60733 3.55068i 0.170759 0.131597i
\(729\) 17.6696 20.4153i 0.654430 0.756123i
\(730\) −1.76882 + 6.60132i −0.0654670 + 0.244326i
\(731\) −0.0496458 0.0286630i −0.00183622 0.00106014i
\(732\) 23.3149 18.3386i 0.861742 0.677814i
\(733\) −30.2768 + 8.11265i −1.11830 + 0.299648i −0.770196 0.637808i \(-0.779841\pi\)
−0.348105 + 0.937456i \(0.613175\pi\)
\(734\) −12.2406 3.27985i −0.451808 0.121062i
\(735\) 4.76787 2.04226i 0.175865 0.0753297i
\(736\) −32.1352 8.61061i −1.18452 0.317391i
\(737\) 7.91348 + 4.56885i 0.291497 + 0.168296i
\(738\) −19.5498 4.73879i −0.719636 0.174437i
\(739\) −45.0063 12.0594i −1.65558 0.443613i −0.694416 0.719574i \(-0.744337\pi\)
−0.961169 + 0.275961i \(0.911004\pi\)
\(740\) 32.0310 + 55.4793i 1.17748 + 2.03946i
\(741\) 0.348213 0.623238i 0.0127919 0.0228952i
\(742\) −1.34068 + 2.32212i −0.0492179 + 0.0852478i
\(743\) −5.85484 + 5.85484i −0.214793 + 0.214793i −0.806300 0.591507i \(-0.798533\pi\)
0.591507 + 0.806300i \(0.298533\pi\)
\(744\) 17.6011 + 7.04448i 0.645288 + 0.258263i
\(745\) 14.0761i 0.515709i
\(746\) 20.5114 20.5114i 0.750975 0.750975i
\(747\) 29.5710 0.709539i 1.08195 0.0259607i
\(748\) −1.03582 3.86573i −0.0378733 0.141345i
\(749\) 3.18151 11.8736i 0.116250 0.433851i
\(750\) 4.33161 10.8228i 0.158168 0.395193i
\(751\) 19.1225i 0.697791i 0.937162 + 0.348896i \(0.113443\pi\)
−0.937162 + 0.348896i \(0.886557\pi\)
\(752\) 11.3350 + 11.3350i 0.413343 + 0.413343i
\(753\) 3.03630 7.58639i 0.110649 0.276463i
\(754\) 19.0675 + 45.7618i 0.694399 + 1.66655i
\(755\) 18.9101i 0.688207i
\(756\) 2.36580 + 14.0444i 0.0860434 + 0.510791i
\(757\) 11.4661 + 19.8599i 0.416743 + 0.721820i 0.995610 0.0936022i \(-0.0298382\pi\)
−0.578867 + 0.815422i \(0.696505\pi\)
\(758\) −22.3710 −0.812550
\(759\) −11.7357 + 5.02682i −0.425978 + 0.182462i
\(760\) 0.142944 0.533473i 0.00518511 0.0193511i
\(761\) −3.89211 + 14.5256i −0.141089 + 0.526551i 0.858809 + 0.512295i \(0.171205\pi\)
−0.999898 + 0.0142560i \(0.995462\pi\)
\(762\) −33.6808 25.2082i −1.22013 0.913196i
\(763\) −12.9985 −0.470579
\(764\) −14.0554 24.3447i −0.508506 0.880759i
\(765\) −7.87699 + 0.189004i −0.284793 + 0.00683345i
\(766\) 1.99016i 0.0719074i
\(767\) −6.77799 16.2671i −0.244739 0.587371i
\(768\) −1.42182 1.80763i −0.0513053 0.0652273i
\(769\) 4.87516 + 4.87516i 0.175803 + 0.175803i 0.789523 0.613721i \(-0.210328\pi\)
−0.613721 + 0.789523i \(0.710328\pi\)
\(770\) 10.8553i 0.391198i
\(771\) 21.4701 3.08901i 0.773226 0.111248i
\(772\) −13.2466 + 49.4368i −0.476754 + 1.77927i
\(773\) 5.22961 + 19.5172i 0.188096 + 0.701983i 0.993947 + 0.109865i