Properties

Label 605.2.s.b.16.3
Level $605$
Weight $2$
Character 605.16
Analytic conductor $4.831$
Analytic rank $0$
Dimension $880$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 16.3
Character \(\chi\) \(=\) 605.16
Dual form 605.2.s.b.416.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.03821 - 0.233862i) q^{2} +(0.653999 + 0.475158i) q^{3} +(2.15157 + 0.500325i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(-1.22186 - 1.12142i) q^{6} +(-0.0770600 - 0.0792929i) q^{7} +(-0.403791 - 0.144072i) q^{8} +(-0.725112 - 2.23166i) q^{9} +O(q^{10})\) \(q+(-2.03821 - 0.233862i) q^{2} +(0.653999 + 0.475158i) q^{3} +(2.15157 + 0.500325i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(-1.22186 - 1.12142i) q^{6} +(-0.0770600 - 0.0792929i) q^{7} +(-0.403791 - 0.144072i) q^{8} +(-0.725112 - 2.23166i) q^{9} +(1.34350 - 1.55048i) q^{10} +(-3.07435 + 1.24433i) q^{11} +(1.16939 + 1.34955i) q^{12} +(0.978429 - 1.62254i) q^{13} +(0.138521 + 0.179637i) q^{14} +(-0.761375 + 0.271658i) q^{15} +(-3.17534 - 1.56121i) q^{16} +(-2.66596 + 2.17994i) q^{17} +(0.956024 + 4.71817i) q^{18} +(-0.367122 - 0.0209928i) q^{19} +(-1.62744 + 1.49365i) q^{20} +(-0.0127205 - 0.0884732i) q^{21} +(6.55717 - 1.81722i) q^{22} +(0.539872 - 3.75489i) q^{23} +(-0.195622 - 0.286088i) q^{24} +(-0.362808 - 0.931864i) q^{25} +(-2.37369 + 3.07826i) q^{26} +(1.33559 - 4.11051i) q^{27} +(-0.126127 - 0.209159i) q^{28} +(-0.153525 + 0.394327i) q^{29} +(1.61537 - 0.375638i) q^{30} +(-4.52370 - 1.91173i) q^{31} +(6.82822 + 4.38823i) q^{32} +(-2.60188 - 0.647015i) q^{33} +(5.94357 - 3.81970i) q^{34} +(0.108950 - 0.0188546i) q^{35} +(-0.443567 - 5.16436i) q^{36} +(0.422389 - 4.91779i) q^{37} +(0.743360 + 0.128643i) q^{38} +(1.41086 - 0.596233i) q^{39} +(0.346845 - 0.251997i) q^{40} +(-7.16134 + 4.04420i) q^{41} +(0.00523650 + 0.183301i) q^{42} +(6.37251 - 1.87114i) q^{43} +(-7.23724 + 1.13908i) q^{44} +(2.25146 + 0.661088i) q^{45} +(-1.97850 + 7.52699i) q^{46} +(0.457072 - 2.25574i) q^{47} +(-1.33485 - 2.52982i) q^{48} +(0.199543 - 6.98492i) q^{49} +(0.521549 + 1.98418i) q^{50} +(-2.77935 + 0.158929i) q^{51} +(2.91695 - 3.00147i) q^{52} +(1.70367 - 0.837637i) q^{53} +(-3.68349 + 8.06573i) q^{54} +(0.708141 - 3.24014i) q^{55} +(0.0196922 + 0.0431200i) q^{56} +(-0.230122 - 0.188170i) q^{57} +(0.405135 - 0.767816i) q^{58} +(-6.63921 - 3.74933i) q^{59} +(-1.77407 + 0.203555i) q^{60} +(-12.3361 + 1.41543i) q^{61} +(8.77314 + 4.95442i) q^{62} +(-0.121078 + 0.229468i) q^{63} +(-7.41265 - 6.06129i) q^{64} +(0.787095 + 1.72350i) q^{65} +(5.15185 + 1.92723i) q^{66} +(0.779681 - 1.70726i) q^{67} +(-6.82666 + 3.35644i) q^{68} +(2.13724 - 2.19917i) q^{69} +(-0.226472 + 0.0129501i) q^{70} +(-2.13187 - 8.11049i) q^{71} +(-0.0287275 + 1.00559i) q^{72} +(-4.29019 - 8.13081i) q^{73} +(-2.01100 + 9.92468i) q^{74} +(0.205507 - 0.781829i) q^{75} +(-0.779383 - 0.228847i) q^{76} +(0.335576 + 0.147887i) q^{77} +(-3.01505 + 0.885299i) q^{78} +(-0.414663 - 14.5151i) q^{79} +(3.08104 - 1.73994i) q^{80} +(-2.86848 + 2.08407i) q^{81} +(15.5421 - 6.56813i) q^{82} +(-14.3771 - 2.48806i) q^{83} +(0.0168963 - 0.196720i) q^{84} +(-0.294700 - 3.43113i) q^{85} +(-13.4261 + 2.32347i) q^{86} +(-0.287773 + 0.184941i) q^{87} +(1.42067 - 0.0595188i) q^{88} +(2.96984 + 1.90860i) q^{89} +(-4.43433 - 1.87397i) q^{90} +(-0.204054 + 0.0474507i) q^{91} +(3.04024 - 7.80879i) q^{92} +(-2.05012 - 3.39974i) q^{93} +(-1.45914 + 4.49077i) q^{94} +(0.224548 - 0.291199i) q^{95} +(2.38055 + 6.11438i) q^{96} +(-1.19286 - 1.74450i) q^{97} +(-2.04022 + 14.1900i) q^{98} +(5.00617 + 5.95865i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 880q + 4q^{2} - q^{3} + 24q^{4} + 22q^{5} - 13q^{6} + 3q^{7} + 2q^{8} - 217q^{9} + O(q^{10}) \) \( 880q + 4q^{2} - q^{3} + 24q^{4} + 22q^{5} - 13q^{6} + 3q^{7} + 2q^{8} - 217q^{9} - 6q^{10} + 5q^{11} - 5q^{12} - 26q^{13} - 108q^{14} - 12q^{15} + 34q^{16} - q^{17} - 14q^{18} + q^{19} + 19q^{20} - 10q^{21} + 275q^{22} - 51q^{23} + 283q^{24} + 22q^{25} - 16q^{27} - 4q^{28} - 19q^{29} + q^{30} - 34q^{31} - 122q^{32} + 19q^{33} + 52q^{34} + 8q^{35} - 21q^{36} - 109q^{37} - 10q^{38} - 9q^{39} - 64q^{40} + 4q^{41} - 49q^{42} - 97q^{43} + 17q^{44} - 80q^{45} - 91q^{46} + 166q^{47} - 159q^{48} + 175q^{49} + 4q^{50} - 112q^{51} - 128q^{52} - 141q^{53} - 37q^{54} - 5q^{55} + 79q^{56} - 204q^{57} - 190q^{58} + 9q^{59} - 22q^{60} + 2q^{61} - 105q^{62} - q^{63} - 176q^{64} - 14q^{65} - 112q^{66} - 13q^{67} - 35q^{68} - 53q^{69} + 24q^{70} - 50q^{71} + 705q^{72} + q^{73} + 40q^{74} - q^{75} - 148q^{76} - 104q^{77} - 187q^{78} - 83q^{79} - q^{80} - 238q^{81} - 54q^{82} - 151q^{83} + 4q^{84} - 29q^{85} - 39q^{86} - 74q^{87} - 143q^{88} - 52q^{89} - 28q^{90} - 188q^{91} - 253q^{92} + 122q^{93} - 187q^{94} + 122q^{95} - 155q^{96} + 283q^{97} - 92q^{98} + 172q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.03821 0.233862i −1.44123 0.165366i −0.642144 0.766584i \(-0.721955\pi\)
−0.799085 + 0.601218i \(0.794682\pi\)
\(3\) 0.653999 + 0.475158i 0.377586 + 0.274333i 0.760350 0.649514i \(-0.225028\pi\)
−0.382763 + 0.923846i \(0.625028\pi\)
\(4\) 2.15157 + 0.500325i 1.07578 + 0.250163i
\(5\) −0.564443 + 0.825472i −0.252427 + 0.369162i
\(6\) −1.22186 1.12142i −0.498823 0.457816i
\(7\) −0.0770600 0.0792929i −0.0291260 0.0299699i 0.702412 0.711770i \(-0.252106\pi\)
−0.731538 + 0.681800i \(0.761197\pi\)
\(8\) −0.403791 0.144072i −0.142762 0.0509372i
\(9\) −0.725112 2.23166i −0.241704 0.743888i
\(10\) 1.34350 1.55048i 0.424851 0.490305i
\(11\) −3.07435 + 1.24433i −0.926952 + 0.375179i
\(12\) 1.16939 + 1.34955i 0.337573 + 0.389580i
\(13\) 0.978429 1.62254i 0.271367 0.450012i −0.690577 0.723259i \(-0.742643\pi\)
0.961944 + 0.273247i \(0.0880977\pi\)
\(14\) 0.138521 + 0.179637i 0.0370212 + 0.0480099i
\(15\) −0.761375 + 0.271658i −0.196586 + 0.0701418i
\(16\) −3.17534 1.56121i −0.793835 0.390303i
\(17\) −2.66596 + 2.17994i −0.646589 + 0.528714i −0.898464 0.439046i \(-0.855316\pi\)
0.251875 + 0.967760i \(0.418953\pi\)
\(18\) 0.956024 + 4.71817i 0.225337 + 1.11208i
\(19\) −0.367122 0.0209928i −0.0842235 0.00481607i 0.0149263 0.999889i \(-0.495249\pi\)
−0.0991497 + 0.995073i \(0.531612\pi\)
\(20\) −1.62744 + 1.49365i −0.363907 + 0.333991i
\(21\) −0.0127205 0.0884732i −0.00277585 0.0193064i
\(22\) 6.55717 1.81722i 1.39799 0.387432i
\(23\) 0.539872 3.75489i 0.112571 0.782949i −0.852832 0.522186i \(-0.825117\pi\)
0.965403 0.260763i \(-0.0839742\pi\)
\(24\) −0.195622 0.286088i −0.0399311 0.0583974i
\(25\) −0.362808 0.931864i −0.0725615 0.186373i
\(26\) −2.37369 + 3.07826i −0.465519 + 0.603696i
\(27\) 1.33559 4.11051i 0.257034 0.791069i
\(28\) −0.126127 0.209159i −0.0238359 0.0395273i
\(29\) −0.153525 + 0.394327i −0.0285090 + 0.0732247i −0.945399 0.325915i \(-0.894328\pi\)
0.916890 + 0.399140i \(0.130691\pi\)
\(30\) 1.61537 0.375638i 0.294925 0.0685818i
\(31\) −4.52370 1.91173i −0.812480 0.343357i −0.0568722 0.998381i \(-0.518113\pi\)
−0.755607 + 0.655025i \(0.772658\pi\)
\(32\) 6.82822 + 4.38823i 1.20707 + 0.775737i
\(33\) −2.60188 0.647015i −0.452929 0.112631i
\(34\) 5.94357 3.81970i 1.01931 0.655074i
\(35\) 0.108950 0.0188546i 0.0184159 0.00318700i
\(36\) −0.443567 5.16436i −0.0739279 0.860727i
\(37\) 0.422389 4.91779i 0.0694403 0.808479i −0.875921 0.482455i \(-0.839745\pi\)
0.945361 0.326025i \(-0.105709\pi\)
\(38\) 0.743360 + 0.128643i 0.120589 + 0.0208687i
\(39\) 1.41086 0.596233i 0.225918 0.0954736i
\(40\) 0.346845 0.251997i 0.0548410 0.0398443i
\(41\) −7.16134 + 4.04420i −1.11841 + 0.631597i −0.936132 0.351649i \(-0.885621\pi\)
−0.182282 + 0.983246i \(0.558348\pi\)
\(42\) 0.00523650 + 0.183301i 0.000808009 + 0.0282840i
\(43\) 6.37251 1.87114i 0.971799 0.285346i 0.242964 0.970035i \(-0.421880\pi\)
0.728835 + 0.684689i \(0.240062\pi\)
\(44\) −7.23724 + 1.13908i −1.09106 + 0.171722i
\(45\) 2.25146 + 0.661088i 0.335628 + 0.0985492i
\(46\) −1.97850 + 7.52699i −0.291714 + 1.10979i
\(47\) 0.457072 2.25574i 0.0666708 0.329033i −0.932841 0.360289i \(-0.882678\pi\)
0.999511 + 0.0312560i \(0.00995072\pi\)
\(48\) −1.33485 2.52982i −0.192669 0.365148i
\(49\) 0.199543 6.98492i 0.0285062 0.997846i
\(50\) 0.521549 + 1.98418i 0.0737581 + 0.280605i
\(51\) −2.77935 + 0.158929i −0.389187 + 0.0222545i
\(52\) 2.91695 3.00147i 0.404509 0.416229i
\(53\) 1.70367 0.837637i 0.234017 0.115058i −0.320446 0.947267i \(-0.603833\pi\)
0.554463 + 0.832208i \(0.312924\pi\)
\(54\) −3.68349 + 8.06573i −0.501260 + 1.09761i
\(55\) 0.708141 3.24014i 0.0954857 0.436901i
\(56\) 0.0196922 + 0.0431200i 0.00263148 + 0.00576215i
\(57\) −0.230122 0.188170i −0.0304804 0.0249237i
\(58\) 0.405135 0.767816i 0.0531968 0.100819i
\(59\) −6.63921 3.74933i −0.864351 0.488121i −0.00528481 0.999986i \(-0.501682\pi\)
−0.859066 + 0.511865i \(0.828955\pi\)
\(60\) −1.77407 + 0.203555i −0.229031 + 0.0262788i
\(61\) −12.3361 + 1.41543i −1.57947 + 0.181228i −0.858897 0.512149i \(-0.828850\pi\)
−0.720575 + 0.693377i \(0.756122\pi\)
\(62\) 8.77314 + 4.95442i 1.11419 + 0.629212i
\(63\) −0.121078 + 0.229468i −0.0152544 + 0.0289103i
\(64\) −7.41265 6.06129i −0.926581 0.757662i
\(65\) 0.787095 + 1.72350i 0.0976272 + 0.213774i
\(66\) 5.15185 + 1.92723i 0.634148 + 0.237226i
\(67\) 0.779681 1.70726i 0.0952532 0.208576i −0.856007 0.516964i \(-0.827062\pi\)
0.951261 + 0.308388i \(0.0997895\pi\)
\(68\) −6.82666 + 3.35644i −0.827854 + 0.407028i
\(69\) 2.13724 2.19917i 0.257294 0.264749i
\(70\) −0.226472 + 0.0129501i −0.0270686 + 0.00154784i
\(71\) −2.13187 8.11049i −0.253007 0.962538i −0.965403 0.260761i \(-0.916027\pi\)
0.712397 0.701777i \(-0.247610\pi\)
\(72\) −0.0287275 + 1.00559i −0.00338557 + 0.118510i
\(73\) −4.29019 8.13081i −0.502129 0.951639i −0.996596 0.0824432i \(-0.973728\pi\)
0.494467 0.869196i \(-0.335363\pi\)
\(74\) −2.01100 + 9.92468i −0.233774 + 1.15372i
\(75\) 0.205507 0.781829i 0.0237299 0.0902779i
\(76\) −0.779383 0.228847i −0.0894013 0.0262506i
\(77\) 0.335576 + 0.147887i 0.0382424 + 0.0168532i
\(78\) −3.01505 + 0.885299i −0.341387 + 0.100240i
\(79\) −0.414663 14.5151i −0.0466532 1.63307i −0.599913 0.800065i \(-0.704798\pi\)
0.553260 0.833009i \(-0.313384\pi\)
\(80\) 3.08104 1.73994i 0.344470 0.194531i
\(81\) −2.86848 + 2.08407i −0.318720 + 0.231564i
\(82\) 15.5421 6.56813i 1.71633 0.725329i
\(83\) −14.3771 2.48806i −1.57809 0.273100i −0.686911 0.726742i \(-0.741034\pi\)
−0.891184 + 0.453642i \(0.850124\pi\)
\(84\) 0.0168963 0.196720i 0.00184354 0.0214639i
\(85\) −0.294700 3.43113i −0.0319647 0.372158i
\(86\) −13.4261 + 2.32347i −1.44777 + 0.250547i
\(87\) −0.287773 + 0.184941i −0.0308525 + 0.0198277i
\(88\) 1.42067 0.0595188i 0.151444 0.00634472i
\(89\) 2.96984 + 1.90860i 0.314802 + 0.202311i 0.688494 0.725242i \(-0.258272\pi\)
−0.373692 + 0.927553i \(0.621908\pi\)
\(90\) −4.43433 1.87397i −0.467420 0.197533i
\(91\) −0.204054 + 0.0474507i −0.0213907 + 0.00497418i
\(92\) 3.04024 7.80879i 0.316967 0.814122i
\(93\) −2.05012 3.39974i −0.212587 0.352537i
\(94\) −1.45914 + 4.49077i −0.150499 + 0.463187i
\(95\) 0.224548 0.291199i 0.0230382 0.0298764i
\(96\) 2.38055 + 6.11438i 0.242963 + 0.624047i
\(97\) −1.19286 1.74450i −0.121116 0.177127i 0.760149 0.649749i \(-0.225126\pi\)
−0.881265 + 0.472622i \(0.843308\pi\)
\(98\) −2.04022 + 14.1900i −0.206093 + 1.43341i
\(99\) 5.00617 + 5.95865i 0.503139 + 0.598867i
\(100\) −0.314370 2.18649i −0.0314370 0.218649i
\(101\) −5.71038 + 5.24094i −0.568204 + 0.521493i −0.907980 0.419013i \(-0.862376\pi\)
0.339776 + 0.940506i \(0.389649\pi\)
\(102\) 5.70205 + 0.326055i 0.564587 + 0.0322843i
\(103\) 1.07137 + 5.28741i 0.105565 + 0.520984i 0.997614 + 0.0690443i \(0.0219950\pi\)
−0.892049 + 0.451939i \(0.850732\pi\)
\(104\) −0.628844 + 0.514203i −0.0616632 + 0.0504218i
\(105\) 0.0802121 + 0.0394376i 0.00782790 + 0.00384872i
\(106\) −3.66832 + 1.30885i −0.356299 + 0.127127i
\(107\) 9.05826 + 11.7470i 0.875695 + 1.13562i 0.989844 + 0.142158i \(0.0454040\pi\)
−0.114149 + 0.993464i \(0.536414\pi\)
\(108\) 4.93020 8.17581i 0.474408 0.786718i
\(109\) 4.48798 + 5.17941i 0.429871 + 0.496098i 0.928819 0.370535i \(-0.120825\pi\)
−0.498948 + 0.866632i \(0.666280\pi\)
\(110\) −2.20108 + 6.43847i −0.209865 + 0.613884i
\(111\) 2.61297 3.01553i 0.248012 0.286221i
\(112\) 0.120899 + 0.372089i 0.0114239 + 0.0351591i
\(113\) 0.379319 + 0.135341i 0.0356833 + 0.0127318i 0.353831 0.935309i \(-0.384879\pi\)
−0.318147 + 0.948041i \(0.603061\pi\)
\(114\) 0.425031 + 0.437346i 0.0398078 + 0.0409612i
\(115\) 2.79483 + 2.56507i 0.260619 + 0.239194i
\(116\) −0.527612 + 0.771608i −0.0489875 + 0.0716420i
\(117\) −4.33044 1.00700i −0.400349 0.0930972i
\(118\) 12.6552 + 9.19457i 1.16501 + 0.846429i
\(119\) 0.378293 + 0.0434050i 0.0346780 + 0.00397893i
\(120\) 0.346575 0.0316378
\(121\) 7.90330 7.65100i 0.718482 0.695546i
\(122\) 25.4745 2.30635
\(123\) −6.60514 0.757870i −0.595566 0.0683348i
\(124\) −8.77654 6.37653i −0.788157 0.572629i
\(125\) 0.974012 + 0.226497i 0.0871183 + 0.0202585i
\(126\) 0.300446 0.439388i 0.0267658 0.0391438i
\(127\) 10.7345 + 9.85201i 0.952530 + 0.874225i 0.992158 0.124990i \(-0.0398899\pi\)
−0.0396275 + 0.999215i \(0.512617\pi\)
\(128\) 2.37730 + 2.44618i 0.210126 + 0.216214i
\(129\) 5.05670 + 1.80423i 0.445218 + 0.158853i
\(130\) −1.20120 3.69692i −0.105352 0.324241i
\(131\) 10.0005 11.5412i 0.873750 1.00836i −0.126116 0.992016i \(-0.540251\pi\)
0.999866 0.0163463i \(-0.00520342\pi\)
\(132\) −5.27439 2.69388i −0.459077 0.234472i
\(133\) 0.0266258 + 0.0307278i 0.00230875 + 0.00266444i
\(134\) −1.98842 + 3.29742i −0.171773 + 0.284853i
\(135\) 2.63925 + 3.42264i 0.227151 + 0.294574i
\(136\) 1.39056 0.496150i 0.119239 0.0425445i
\(137\) −3.18176 1.56436i −0.271836 0.133653i 0.300213 0.953872i \(-0.402942\pi\)
−0.572049 + 0.820219i \(0.693851\pi\)
\(138\) −4.87044 + 3.98254i −0.414600 + 0.339017i
\(139\) 0.277739 + 1.37070i 0.0235575 + 0.116261i 0.990136 0.140110i \(-0.0447457\pi\)
−0.966578 + 0.256371i \(0.917473\pi\)
\(140\) 0.243847 + 0.0139437i 0.0206088 + 0.00117845i
\(141\) 1.37076 1.25807i 0.115439 0.105949i
\(142\) 2.44846 + 17.0294i 0.205470 + 1.42908i
\(143\) −0.989063 + 6.20575i −0.0827096 + 0.518951i
\(144\) −1.18162 + 8.21835i −0.0984683 + 0.684862i
\(145\) −0.238849 0.349306i −0.0198354 0.0290083i
\(146\) 6.84280 + 17.5756i 0.566314 + 1.45457i
\(147\) 3.44944 4.47332i 0.284505 0.368953i
\(148\) 3.36929 10.3696i 0.276954 0.852377i
\(149\) 9.59750 + 15.9157i 0.786258 + 1.30386i 0.948394 + 0.317094i \(0.102707\pi\)
−0.162136 + 0.986768i \(0.551838\pi\)
\(150\) −0.601706 + 1.54547i −0.0491290 + 0.126187i
\(151\) −7.13552 + 1.65929i −0.580681 + 0.135031i −0.506540 0.862216i \(-0.669076\pi\)
−0.0741404 + 0.997248i \(0.523621\pi\)
\(152\) 0.145216 + 0.0613687i 0.0117786 + 0.00497766i
\(153\) 6.79801 + 4.36882i 0.549587 + 0.353198i
\(154\) −0.649388 0.379902i −0.0523292 0.0306133i
\(155\) 4.13145 2.65512i 0.331846 0.213264i
\(156\) 3.33386 0.576947i 0.266922 0.0461927i
\(157\) −0.375534 4.37227i −0.0299709 0.348945i −0.995922 0.0902197i \(-0.971243\pi\)
0.965951 0.258725i \(-0.0833024\pi\)
\(158\) −2.54936 + 29.6817i −0.202816 + 2.36135i
\(159\) 1.51221 + 0.261698i 0.119926 + 0.0207540i
\(160\) −7.47650 + 3.15960i −0.591070 + 0.249788i
\(161\) −0.339339 + 0.246544i −0.0267436 + 0.0194304i
\(162\) 6.33394 3.57694i 0.497642 0.281031i
\(163\) −0.114764 4.01725i −0.00898898 0.314655i −0.991628 0.129127i \(-0.958782\pi\)
0.982639 0.185528i \(-0.0593995\pi\)
\(164\) −17.4315 + 5.11835i −1.36117 + 0.399676i
\(165\) 2.00270 1.78257i 0.155910 0.138773i
\(166\) 28.7217 + 8.43344i 2.22923 + 0.654562i
\(167\) −2.23629 + 8.50771i −0.173049 + 0.658347i 0.822881 + 0.568214i \(0.192365\pi\)
−0.995930 + 0.0901326i \(0.971271\pi\)
\(168\) −0.00761010 + 0.0375573i −0.000587132 + 0.00289761i
\(169\) 4.39136 + 8.32254i 0.337797 + 0.640196i
\(170\) −0.201752 + 7.06226i −0.0154737 + 0.541650i
\(171\) 0.219355 + 0.834514i 0.0167745 + 0.0638169i
\(172\) 14.6471 0.837549i 1.11683 0.0638625i
\(173\) 2.79251 2.87342i 0.212310 0.218462i −0.602609 0.798037i \(-0.705872\pi\)
0.814919 + 0.579574i \(0.196781\pi\)
\(174\) 0.629792 0.309648i 0.0477444 0.0234743i
\(175\) −0.0459322 + 0.100578i −0.00347215 + 0.00760295i
\(176\) 11.7048 + 0.848549i 0.882281 + 0.0639618i
\(177\) −2.56051 5.60673i −0.192460 0.421428i
\(178\) −5.60679 4.58465i −0.420246 0.343634i
\(179\) −6.12053 + 11.5997i −0.457470 + 0.867002i 0.542172 + 0.840267i \(0.317602\pi\)
−0.999643 + 0.0267350i \(0.991489\pi\)
\(180\) 4.51340 + 2.54884i 0.336409 + 0.189979i
\(181\) 18.7071 2.14644i 1.39049 0.159544i 0.613816 0.789449i \(-0.289634\pi\)
0.776672 + 0.629905i \(0.216906\pi\)
\(182\) 0.427001 0.0489938i 0.0316514 0.00363166i
\(183\) −8.74033 4.93589i −0.646104 0.364872i
\(184\) −0.758971 + 1.43841i −0.0559521 + 0.106041i
\(185\) 3.82108 + 3.12448i 0.280931 + 0.229716i
\(186\) 3.38349 + 7.40881i 0.248090 + 0.543240i
\(187\) 5.48353 10.0192i 0.400996 0.732679i
\(188\) 2.11202 4.62468i 0.154035 0.337290i
\(189\) −0.428855 + 0.210854i −0.0311946 + 0.0153374i
\(190\) −0.525776 + 0.541011i −0.0381438 + 0.0392490i
\(191\) −12.8693 + 0.735894i −0.931191 + 0.0532474i −0.516096 0.856531i \(-0.672615\pi\)
−0.415095 + 0.909778i \(0.636252\pi\)
\(192\) −1.96779 7.48626i −0.142013 0.540274i
\(193\) −0.760520 + 26.6217i −0.0547434 + 1.91627i 0.257516 + 0.966274i \(0.417096\pi\)
−0.312260 + 0.949997i \(0.601086\pi\)
\(194\) 2.02332 + 3.83461i 0.145266 + 0.275309i
\(195\) −0.304175 + 1.50116i −0.0217824 + 0.107500i
\(196\) 3.92406 14.9287i 0.280290 1.06633i
\(197\) −2.48512 0.729696i −0.177057 0.0519887i 0.192002 0.981394i \(-0.438502\pi\)
−0.369059 + 0.929406i \(0.620320\pi\)
\(198\) −8.81010 13.3157i −0.626106 0.946306i
\(199\) −1.64494 + 0.482999i −0.116607 + 0.0342389i −0.339515 0.940600i \(-0.610263\pi\)
0.222908 + 0.974839i \(0.428445\pi\)
\(200\) 0.0122427 + 0.428549i 0.000865686 + 0.0303030i
\(201\) 1.32113 0.746077i 0.0931854 0.0526242i
\(202\) 12.8646 9.34667i 0.905149 0.657629i
\(203\) 0.0430980 0.0182134i 0.00302489 0.00127833i
\(204\) −6.05947 1.04863i −0.424248 0.0734190i
\(205\) 0.703801 8.19421i 0.0491556 0.572308i
\(206\) −0.947142 11.0274i −0.0659905 0.768314i
\(207\) −8.77112 + 1.51790i −0.609635 + 0.105502i
\(208\) −5.63998 + 3.62459i −0.391062 + 0.251320i
\(209\) 1.15478 0.392280i 0.0798780 0.0271346i
\(210\) −0.154266 0.0991406i −0.0106454 0.00684135i
\(211\) 2.95225 + 1.24763i 0.203241 + 0.0858905i 0.488515 0.872556i \(-0.337539\pi\)
−0.285273 + 0.958446i \(0.592084\pi\)
\(212\) 4.08465 0.949844i 0.280535 0.0652355i
\(213\) 2.45952 6.31723i 0.168524 0.432849i
\(214\) −15.7154 26.0611i −1.07428 1.78150i
\(215\) −2.05235 + 6.31648i −0.139969 + 0.430781i
\(216\) −1.13151 + 1.46737i −0.0769894 + 0.0998417i
\(217\) 0.197010 + 0.506015i 0.0133739 + 0.0343505i
\(218\) −7.93617 11.6063i −0.537505 0.786076i
\(219\) 1.05764 7.35606i 0.0714688 0.497076i
\(220\) 3.14474 6.61708i 0.212018 0.446124i
\(221\) 0.928599 + 6.45855i 0.0624643 + 0.434449i
\(222\) −6.03098 + 5.53519i −0.404773 + 0.371497i
\(223\) 2.49831 + 0.142858i 0.167299 + 0.00956650i 0.140538 0.990075i \(-0.455117\pi\)
0.0267614 + 0.999642i \(0.491481\pi\)
\(224\) −0.178227 0.879587i −0.0119083 0.0587698i
\(225\) −1.81653 + 1.48537i −0.121102 + 0.0990247i
\(226\) −0.741479 0.364561i −0.0493224 0.0242502i
\(227\) −2.75311 + 0.982308i −0.182730 + 0.0651981i −0.425830 0.904803i \(-0.640018\pi\)
0.243099 + 0.970001i \(0.421836\pi\)
\(228\) −0.400977 0.519996i −0.0265553 0.0344376i
\(229\) −2.67295 + 4.43259i −0.176634 + 0.292914i −0.932049 0.362332i \(-0.881981\pi\)
0.755415 + 0.655246i \(0.227435\pi\)
\(230\) −5.09657 5.88175i −0.336058 0.387831i
\(231\) 0.149197 + 0.256169i 0.00981644 + 0.0168547i
\(232\) 0.118804 0.137107i 0.00779985 0.00900151i
\(233\) −2.06136 6.34421i −0.135044 0.415623i 0.860553 0.509361i \(-0.170118\pi\)
−0.995597 + 0.0937383i \(0.970118\pi\)
\(234\) 8.59082 + 3.06520i 0.561600 + 0.200378i
\(235\) 1.60406 + 1.65054i 0.104637 + 0.107669i
\(236\) −12.4088 11.3887i −0.807744 0.741341i
\(237\) 6.62577 9.68988i 0.430390 0.629425i
\(238\) −0.760887 0.176937i −0.0493210 0.0114691i
\(239\) −7.65207 5.55955i −0.494971 0.359618i 0.312122 0.950042i \(-0.398960\pi\)
−0.807093 + 0.590425i \(0.798960\pi\)
\(240\) 2.84174 + 0.326059i 0.183434 + 0.0210470i
\(241\) −9.41726 −0.606619 −0.303309 0.952892i \(-0.598092\pi\)
−0.303309 + 0.952892i \(0.598092\pi\)
\(242\) −17.8978 + 13.7460i −1.15052 + 0.883628i
\(243\) −15.8324 −1.01565
\(244\) −27.2500 3.12665i −1.74451 0.200163i
\(245\) 5.65323 + 4.10731i 0.361172 + 0.262406i
\(246\) 13.2854 + 3.08939i 0.847046 + 0.196972i
\(247\) −0.393264 + 0.575130i −0.0250228 + 0.0365947i
\(248\) 1.55120 + 1.42368i 0.0985013 + 0.0904036i
\(249\) −8.22040 8.45860i −0.520947 0.536042i
\(250\) −1.93227 0.689432i −0.122207 0.0436035i
\(251\) −8.81308 27.1239i −0.556277 1.71204i −0.692547 0.721372i \(-0.743512\pi\)
0.136271 0.990672i \(-0.456488\pi\)
\(252\) −0.375316 + 0.433138i −0.0236427 + 0.0272851i
\(253\) 3.01256 + 12.2156i 0.189398 + 0.767991i
\(254\) −19.5750 22.5908i −1.22825 1.41747i
\(255\) 1.43759 2.38398i 0.0900256 0.149291i
\(256\) 7.42094 + 9.62364i 0.463809 + 0.601478i
\(257\) −7.00716 + 2.50015i −0.437095 + 0.155955i −0.545425 0.838160i \(-0.683632\pi\)
0.108330 + 0.994115i \(0.465450\pi\)
\(258\) −9.88466 4.85996i −0.615392 0.302568i
\(259\) −0.422495 + 0.345472i −0.0262526 + 0.0214666i
\(260\) 0.831178 + 4.10202i 0.0515475 + 0.254397i
\(261\) 0.991328 + 0.0566862i 0.0613617 + 0.00350879i
\(262\) −23.0822 + 21.1846i −1.42602 + 1.30879i
\(263\) 0.387129 + 2.69254i 0.0238714 + 0.166029i 0.998270 0.0587988i \(-0.0187270\pi\)
−0.974398 + 0.224828i \(0.927818\pi\)
\(264\) 0.957397 + 0.636117i 0.0589237 + 0.0391503i
\(265\) −0.270178 + 1.87913i −0.0165969 + 0.115434i
\(266\) −0.0470828 0.0688564i −0.00288683 0.00422186i
\(267\) 1.03538 + 2.65936i 0.0633645 + 0.162750i
\(268\) 2.53172 3.28320i 0.154650 0.200553i
\(269\) 8.04657 24.7648i 0.490608 1.50994i −0.333082 0.942898i \(-0.608089\pi\)
0.823691 0.567039i \(-0.191911\pi\)
\(270\) −4.57891 7.59327i −0.278664 0.462112i
\(271\) 0.687350 1.76544i 0.0417535 0.107243i −0.909443 0.415828i \(-0.863492\pi\)
0.951197 + 0.308585i \(0.0998554\pi\)
\(272\) 11.8687 2.75994i 0.719644 0.167346i
\(273\) −0.155998 0.0659251i −0.00944140 0.00398997i
\(274\) 6.11923 + 3.93259i 0.369676 + 0.237576i
\(275\) 2.27494 + 2.41343i 0.137184 + 0.145535i
\(276\) 5.69872 3.66234i 0.343023 0.220447i
\(277\) −29.6632 + 5.13343i −1.78229 + 0.308438i −0.963908 0.266235i \(-0.914220\pi\)
−0.818383 + 0.574673i \(0.805129\pi\)
\(278\) −0.245535 2.85871i −0.0147262 0.171454i
\(279\) −0.986154 + 11.4816i −0.0590395 + 0.687384i
\(280\) −0.0467095 0.00808339i −0.00279142 0.000483075i
\(281\) −11.7732 + 4.97540i −0.702331 + 0.296808i −0.711037 0.703155i \(-0.751774\pi\)
0.00870609 + 0.999962i \(0.497229\pi\)
\(282\) −3.08810 + 2.24363i −0.183894 + 0.133607i
\(283\) 20.4113 11.5268i 1.21332 0.685196i 0.253918 0.967226i \(-0.418281\pi\)
0.959406 + 0.282030i \(0.0910078\pi\)
\(284\) −0.528985 18.5169i −0.0313895 1.09877i
\(285\) 0.285220 0.0837481i 0.0168950 0.00496081i
\(286\) 3.46721 12.4173i 0.205020 0.734250i
\(287\) 0.872529 + 0.256198i 0.0515038 + 0.0151229i
\(288\) 4.84183 18.4202i 0.285308 1.08542i
\(289\) −1.02086 + 5.03814i −0.0600506 + 0.296361i
\(290\) 0.405135 + 0.767816i 0.0237903 + 0.0450877i
\(291\) 0.0487850 1.70770i 0.00285983 0.100107i
\(292\) −5.16257 19.6405i −0.302117 1.14937i
\(293\) 23.4987 1.34371i 1.37281 0.0785002i 0.644950 0.764225i \(-0.276878\pi\)
0.727861 + 0.685725i \(0.240515\pi\)
\(294\) −8.07682 + 8.31085i −0.471050 + 0.484699i
\(295\) 6.84242 3.36419i 0.398381 0.195871i
\(296\) −0.879074 + 1.92490i −0.0510951 + 0.111883i
\(297\) 1.00876 + 14.2991i 0.0585341 + 0.829717i
\(298\) −15.8396 34.6839i −0.917563 2.00918i
\(299\) −5.56425 4.54986i −0.321789 0.263125i
\(300\) 0.833330 1.57934i 0.0481123 0.0911830i
\(301\) −0.639434 0.361105i −0.0368564 0.0208138i
\(302\) 14.9317 1.71325i 0.859223 0.0985867i
\(303\) −6.22486 + 0.714236i −0.357609 + 0.0410318i
\(304\) 1.13296 + 0.639813i 0.0649798 + 0.0366958i
\(305\) 5.79461 10.9820i 0.331798 0.628828i
\(306\) −12.8340 10.4943i −0.733673 0.599922i
\(307\) −6.77144 14.8274i −0.386466 0.846243i −0.998465 0.0553844i \(-0.982362\pi\)
0.611999 0.790859i \(-0.290366\pi\)
\(308\) 0.648023 + 0.486085i 0.0369245 + 0.0276972i
\(309\) −1.81168 + 3.96703i −0.103063 + 0.225676i
\(310\) −9.04167 + 4.44549i −0.513532 + 0.252487i
\(311\) −4.90131 + 5.04333i −0.277928 + 0.285981i −0.841695 0.539952i \(-0.818442\pi\)
0.563768 + 0.825933i \(0.309351\pi\)
\(312\) −0.655591 + 0.0374881i −0.0371155 + 0.00212234i
\(313\) 3.94639 + 15.0136i 0.223063 + 0.848621i 0.980631 + 0.195864i \(0.0627512\pi\)
−0.757568 + 0.652757i \(0.773612\pi\)
\(314\) −0.257092 + 8.99940i −0.0145085 + 0.507865i
\(315\) −0.121078 0.229468i −0.00682197 0.0129291i
\(316\) 6.37009 31.4376i 0.358345 1.76850i
\(317\) −5.03412 + 19.1518i −0.282744 + 1.07567i 0.662435 + 0.749119i \(0.269523\pi\)
−0.945179 + 0.326551i \(0.894113\pi\)
\(318\) −3.02099 0.887042i −0.169409 0.0497429i
\(319\) −0.0186802 1.40334i −0.00104589 0.0785718i
\(320\) 9.18745 2.69768i 0.513594 0.150805i
\(321\) 0.342430 + 11.9866i 0.0191126 + 0.669027i
\(322\) 0.749300 0.423149i 0.0417568 0.0235812i
\(323\) 1.02449 0.744338i 0.0570043 0.0414161i
\(324\) −7.21444 + 3.04885i −0.400802 + 0.169381i
\(325\) −1.86697 0.323092i −0.103561 0.0179219i
\(326\) −0.705571 + 8.21482i −0.0390780 + 0.454977i
\(327\) 0.474099 + 5.51983i 0.0262177 + 0.305247i
\(328\) 3.47434 0.601258i 0.191838 0.0331989i
\(329\) −0.214086 + 0.137585i −0.0118029 + 0.00758529i
\(330\) −4.49880 + 3.16489i −0.247651 + 0.174222i
\(331\) 21.8894 + 14.0675i 1.20315 + 0.773218i 0.979499 0.201451i \(-0.0645656\pi\)
0.223652 + 0.974669i \(0.428202\pi\)
\(332\) −29.6885 12.5465i −1.62937 0.688576i
\(333\) −11.2811 + 2.62331i −0.618202 + 0.143757i
\(334\) 6.54764 16.8175i 0.358271 0.920212i
\(335\) 0.969213 + 1.60726i 0.0529537 + 0.0878139i
\(336\) −0.0977332 + 0.300792i −0.00533178 + 0.0164095i
\(337\) 13.1741 17.0845i 0.717640 0.930652i −0.281946 0.959430i \(-0.590980\pi\)
0.999586 + 0.0287783i \(0.00916167\pi\)
\(338\) −7.00415 17.9900i −0.380976 0.978528i
\(339\) 0.183766 + 0.268749i 0.00998080 + 0.0145965i
\(340\) 1.08261 7.52974i 0.0587129 0.408357i
\(341\) 16.2863 + 0.248376i 0.881950 + 0.0134503i
\(342\) −0.251930 1.75221i −0.0136228 0.0947486i
\(343\) −1.13946 + 1.04579i −0.0615250 + 0.0564672i
\(344\) −2.84274 0.162554i −0.153270 0.00876432i
\(345\) 0.609002 + 3.00554i 0.0327875 + 0.161813i
\(346\) −6.36369 + 5.20356i −0.342114 + 0.279745i
\(347\) −4.72312 2.32220i −0.253551 0.124662i 0.310021 0.950730i \(-0.399664\pi\)
−0.563571 + 0.826067i \(0.690573\pi\)
\(348\) −0.711693 + 0.253932i −0.0381508 + 0.0136122i
\(349\) 8.60351 + 11.1572i 0.460535 + 0.597233i 0.963710 0.266952i \(-0.0860165\pi\)
−0.503175 + 0.864185i \(0.667835\pi\)
\(350\) 0.117141 0.194256i 0.00626143 0.0103834i
\(351\) −5.36271 6.18889i −0.286240 0.330339i
\(352\) −26.4528 4.99443i −1.40994 0.266204i
\(353\) −12.7070 + 14.6646i −0.676323 + 0.780518i −0.985352 0.170534i \(-0.945451\pi\)
0.309029 + 0.951053i \(0.399996\pi\)
\(354\) 3.90764 + 12.0265i 0.207689 + 0.639200i
\(355\) 7.89830 + 2.81811i 0.419198 + 0.149570i
\(356\) 5.43488 + 5.59236i 0.288048 + 0.296394i
\(357\) 0.226779 + 0.208136i 0.0120024 + 0.0110157i
\(358\) 15.1876 22.2112i 0.802691 1.17390i
\(359\) 14.9394 + 3.47401i 0.788471 + 0.183351i 0.601350 0.798986i \(-0.294630\pi\)
0.187121 + 0.982337i \(0.440084\pi\)
\(360\) −0.813874 0.591314i −0.0428950 0.0311650i
\(361\) −18.7418 2.15042i −0.986411 0.113180i
\(362\) −38.6309 −2.03040
\(363\) 8.80419 1.24843i 0.462100 0.0655257i
\(364\) −0.462776 −0.0242561
\(365\) 9.13332 + 1.04795i 0.478060 + 0.0548523i
\(366\) 16.6603 + 12.1044i 0.870846 + 0.632707i
\(367\) −16.6521 3.87228i −0.869233 0.202131i −0.231918 0.972735i \(-0.574500\pi\)
−0.637314 + 0.770604i \(0.719955\pi\)
\(368\) −7.57645 + 11.0802i −0.394950 + 0.577596i
\(369\) 14.2181 + 13.0492i 0.740162 + 0.679315i
\(370\) −7.05745 7.26194i −0.366899 0.377530i
\(371\) −0.197703 0.0705404i −0.0102643 0.00366228i
\(372\) −2.70999 8.34049i −0.140506 0.432434i
\(373\) −4.53006 + 5.22796i −0.234557 + 0.270694i −0.860810 0.508927i \(-0.830042\pi\)
0.626252 + 0.779620i \(0.284588\pi\)
\(374\) −13.5197 + 19.1389i −0.699086 + 0.989647i
\(375\) 0.529381 + 0.610938i 0.0273371 + 0.0315487i
\(376\) −0.509551 + 0.844995i −0.0262781 + 0.0435773i
\(377\) 0.489598 + 0.634923i 0.0252156 + 0.0327002i
\(378\) 0.923405 0.329470i 0.0474948 0.0169461i
\(379\) 1.26733 + 0.623104i 0.0650983 + 0.0320067i 0.473480 0.880805i \(-0.342998\pi\)
−0.408382 + 0.912811i \(0.633907\pi\)
\(380\) 0.628825 0.514187i 0.0322580 0.0263773i
\(381\) 2.33907 + 11.5438i 0.119834 + 0.591406i
\(382\) 26.4024 + 1.50974i 1.35086 + 0.0772452i
\(383\) 12.2867 11.2766i 0.627820 0.576208i −0.297816 0.954623i \(-0.596258\pi\)
0.925636 + 0.378415i \(0.123531\pi\)
\(384\) 0.392428 + 2.72940i 0.0200260 + 0.139284i
\(385\) −0.311490 + 0.193535i −0.0158750 + 0.00986346i
\(386\) 7.77590 54.0826i 0.395783 2.75273i
\(387\) −8.79654 12.8645i −0.447153 0.653941i
\(388\) −1.69370 4.35022i −0.0859844 0.220849i
\(389\) −2.66568 + 3.45692i −0.135155 + 0.175273i −0.854616 0.519261i \(-0.826207\pi\)
0.719460 + 0.694533i \(0.244389\pi\)
\(390\) 0.971035 2.98854i 0.0491703 0.151331i
\(391\) 6.74617 + 11.1873i 0.341169 + 0.565765i
\(392\) −1.08691 + 2.79170i −0.0548971 + 0.141002i
\(393\) 12.0242 2.79612i 0.606543 0.141046i
\(394\) 4.89453 + 2.06844i 0.246583 + 0.104207i
\(395\) 12.2158 + 7.85065i 0.614646 + 0.395009i
\(396\) 7.78984 + 15.3251i 0.391454 + 0.770117i
\(397\) −26.0587 + 16.7469i −1.30785 + 0.840502i −0.994043 0.108986i \(-0.965240\pi\)
−0.313803 + 0.949488i \(0.601603\pi\)
\(398\) 3.46569 0.599761i 0.173719 0.0300633i
\(399\) 0.00281268 + 0.0327474i 0.000140810 + 0.00163942i
\(400\) −0.302797 + 3.52541i −0.0151399 + 0.176270i
\(401\) 10.2752 + 1.77819i 0.513117 + 0.0887984i 0.421199 0.906968i \(-0.361609\pi\)
0.0919180 + 0.995767i \(0.470700\pi\)
\(402\) −2.86722 + 1.21170i −0.143004 + 0.0604339i
\(403\) −7.52798 + 5.46939i −0.374995 + 0.272450i
\(404\) −14.9084 + 8.41918i −0.741722 + 0.418870i
\(405\) −0.101249 3.54419i −0.00503113 0.176112i
\(406\) −0.0921020 + 0.0270436i −0.00457095 + 0.00134215i
\(407\) 4.82076 + 15.6446i 0.238956 + 0.775474i
\(408\) 1.14517 + 0.336253i 0.0566945 + 0.0166470i
\(409\) −1.49961 + 5.70512i −0.0741511 + 0.282100i −0.993882 0.110450i \(-0.964771\pi\)
0.919731 + 0.392550i \(0.128407\pi\)
\(410\) −3.35081 + 16.5369i −0.165485 + 0.816698i
\(411\) −1.33755 2.53493i −0.0659762 0.125039i
\(412\) −0.340305 + 11.9122i −0.0167656 + 0.586874i
\(413\) 0.214322 + 0.815365i 0.0105461 + 0.0401215i
\(414\) 18.2323 1.04256i 0.896070 0.0512392i
\(415\) 10.1689 10.4635i 0.499171 0.513635i
\(416\) 13.8010 6.78550i 0.676651 0.332687i
\(417\) −0.469656 + 1.02840i −0.0229992 + 0.0503611i
\(418\) −2.44543 + 0.529487i −0.119610 + 0.0258981i
\(419\) −13.2090 28.9236i −0.645300 1.41301i −0.895609 0.444843i \(-0.853259\pi\)
0.250309 0.968166i \(-0.419468\pi\)
\(420\) 0.152850 + 0.124985i 0.00745832 + 0.00609864i
\(421\) −17.5432 + 33.2480i −0.855002 + 1.62041i −0.0728306 + 0.997344i \(0.523203\pi\)
−0.782171 + 0.623064i \(0.785888\pi\)
\(422\) −5.72552 3.23335i −0.278714 0.157397i
\(423\) −5.36548 + 0.615631i −0.260878 + 0.0299330i
\(424\) −0.808606 + 0.0927789i −0.0392694 + 0.00450574i
\(425\) 2.99864 + 1.69341i 0.145455 + 0.0821424i
\(426\) −6.49037 + 12.3006i −0.314460 + 0.595967i
\(427\) 1.06285 + 0.869089i 0.0514350 + 0.0420582i
\(428\) 13.6121 + 29.8064i 0.657968 + 1.44075i
\(429\) −3.59556 + 3.58860i −0.173595 + 0.173259i
\(430\) 5.66030 12.3943i 0.272964 0.597707i
\(431\) 4.02937 1.98111i 0.194088 0.0954266i −0.341590 0.939849i \(-0.610965\pi\)
0.535678 + 0.844423i \(0.320056\pi\)
\(432\) −10.6583 + 10.9672i −0.512799 + 0.527657i
\(433\) 25.1587 1.43863i 1.20905 0.0691360i 0.559092 0.829106i \(-0.311150\pi\)
0.649958 + 0.759970i \(0.274786\pi\)
\(434\) −0.283208 1.07744i −0.0135944 0.0517185i
\(435\) 0.00976836 0.341937i 0.000468357 0.0163946i
\(436\) 7.06480 + 13.3893i 0.338343 + 0.641231i
\(437\) −0.277024 + 1.36717i −0.0132519 + 0.0654005i
\(438\) −3.87600 + 14.7458i −0.185202 + 0.704582i
\(439\) −26.4567 7.76839i −1.26271 0.370765i −0.419207 0.907890i \(-0.637692\pi\)
−0.843502 + 0.537125i \(0.819510\pi\)
\(440\) −0.752756 + 1.20632i −0.0358862 + 0.0575089i
\(441\) −15.7327 + 4.61954i −0.749176 + 0.219978i
\(442\) −0.382265 13.3810i −0.0181825 0.636470i
\(443\) 30.9142 17.4581i 1.46878 0.829458i 0.470191 0.882565i \(-0.344185\pi\)
0.998589 + 0.0531067i \(0.0169124\pi\)
\(444\) 7.13072 5.18077i 0.338409 0.245868i
\(445\) −3.25180 + 1.37422i −0.154150 + 0.0651443i
\(446\) −5.05865 0.875434i −0.239534 0.0414530i
\(447\) −1.28570 + 14.9692i −0.0608116 + 0.708017i
\(448\) 0.0906015 + 1.05485i 0.00428052 + 0.0498372i
\(449\) 21.7328 3.76101i 1.02563 0.177493i 0.367208 0.930139i \(-0.380314\pi\)
0.658426 + 0.752646i \(0.271223\pi\)
\(450\) 4.04984 2.60267i 0.190911 0.122691i
\(451\) 16.9842 21.3443i 0.799755 1.00507i
\(452\) 0.748415 + 0.480977i 0.0352025 + 0.0226233i
\(453\) −5.45505 2.30532i −0.256301 0.108314i
\(454\) 5.84113 1.35830i 0.274138 0.0637480i
\(455\) 0.0760076 0.195224i 0.00356329 0.00915224i
\(456\) 0.0658112 + 0.109136i 0.00308189 + 0.00511074i
\(457\) 0.837829 2.57857i 0.0391920 0.120621i −0.929546 0.368705i \(-0.879801\pi\)
0.968738 + 0.248085i \(0.0798012\pi\)
\(458\) 6.48464 8.40943i 0.303007 0.392947i
\(459\) 5.40006 + 13.8700i 0.252053 + 0.647394i
\(460\) 4.72989 + 6.91725i 0.220532 + 0.322518i
\(461\) 4.99873 34.7669i 0.232814 1.61926i −0.453021 0.891500i \(-0.649654\pi\)
0.685835 0.727757i \(-0.259437\pi\)
\(462\) −0.244186 0.557017i −0.0113605 0.0259148i
\(463\) 1.87443 + 13.0369i 0.0871120 + 0.605877i 0.985880 + 0.167453i \(0.0535542\pi\)
−0.898768 + 0.438424i \(0.855537\pi\)
\(464\) 1.10312 1.01244i 0.0512112 0.0470012i
\(465\) 3.96356 + 0.226645i 0.183806 + 0.0105104i
\(466\) 2.71780 + 13.4129i 0.125900 + 0.621339i
\(467\) 25.9394 21.2106i 1.20033 0.981508i 0.200335 0.979727i \(-0.435797\pi\)
0.999998 0.00178020i \(-0.000566655\pi\)
\(468\) −8.81340 4.33325i −0.407399 0.200305i
\(469\) −0.195456 + 0.0697386i −0.00902533 + 0.00322023i
\(470\) −2.88340 3.73926i −0.133001 0.172479i
\(471\) 1.83192 3.03790i 0.0844103 0.139979i
\(472\) 2.14068 + 2.47047i 0.0985326 + 0.113713i
\(473\) −17.2631 + 13.6820i −0.793756 + 0.629101i
\(474\) −15.7708 + 18.2004i −0.724376 + 0.835974i
\(475\) 0.113632 + 0.349724i 0.00521380 + 0.0160464i
\(476\) 0.792205 + 0.282658i 0.0363106 + 0.0129556i
\(477\) −3.10467 3.19463i −0.142153 0.146272i
\(478\) 14.2963 + 13.1210i 0.653898 + 0.600142i
\(479\) 12.0396 17.6073i 0.550103 0.804499i −0.445781 0.895142i \(-0.647074\pi\)
0.995883 + 0.0906427i \(0.0288921\pi\)
\(480\) −6.39093 1.48615i −0.291705 0.0678331i
\(481\) −7.56604 5.49705i −0.344982 0.250644i
\(482\) 19.1943 + 2.20234i 0.874276 + 0.100314i
\(483\) −0.339075 −0.0154284
\(484\) 20.8325 12.5074i 0.946930 0.568519i
\(485\) 2.11334 0.0959617
\(486\) 32.2697 + 3.70260i 1.46378 + 0.167953i
\(487\) −26.3683 19.1577i −1.19486 0.868117i −0.201091 0.979573i \(-0.564449\pi\)
−0.993769 + 0.111456i \(0.964449\pi\)
\(488\) 5.18512 + 1.20575i 0.234719 + 0.0545816i
\(489\) 1.83377 2.68181i 0.0829261 0.121276i
\(490\) −10.5619 9.69362i −0.477138 0.437913i
\(491\) −23.2944 23.9693i −1.05126 1.08172i −0.996531 0.0832203i \(-0.973479\pi\)
−0.0547293 0.998501i \(-0.517430\pi\)
\(492\) −13.8322 4.93533i −0.623605 0.222502i
\(493\) −0.450318 1.38594i −0.0202813 0.0624194i
\(494\) 0.936054 1.08026i 0.0421151 0.0486034i
\(495\) −7.74439 + 0.769134i −0.348085 + 0.0345700i
\(496\) 11.3797 + 13.1328i 0.510962 + 0.589682i
\(497\) −0.478822 + 0.794037i −0.0214781 + 0.0356174i
\(498\) 14.7767 + 19.1628i 0.662161 + 0.858705i
\(499\) 20.7669 7.40962i 0.929654 0.331700i 0.172555 0.985000i \(-0.444798\pi\)
0.757099 + 0.653300i \(0.226616\pi\)
\(500\) 1.98233 + 0.974645i 0.0886524 + 0.0435875i
\(501\) −5.50504 + 4.50145i −0.245947 + 0.201110i
\(502\) 11.6196 + 57.3451i 0.518609 + 2.55944i
\(503\) −1.07748 0.0616123i −0.0480423 0.00274716i 0.0330512 0.999454i \(-0.489478\pi\)
−0.0810934 + 0.996707i \(0.525841\pi\)
\(504\) 0.0819502 0.0752132i 0.00365035 0.00335026i
\(505\) −1.10306 7.67197i −0.0490857 0.341398i
\(506\) −3.28343 25.6025i −0.145966 1.13817i
\(507\) −1.08258 + 7.52952i −0.0480792 + 0.334398i
\(508\) 18.1667 + 26.5680i 0.806018 + 1.17876i
\(509\) 7.72788 + 19.8489i 0.342532 + 0.879787i 0.992767 + 0.120054i \(0.0383068\pi\)
−0.650235 + 0.759733i \(0.725330\pi\)
\(510\) −3.48763 + 4.52284i −0.154435 + 0.200275i
\(511\) −0.314114 + 0.966742i −0.0138956 + 0.0427662i
\(512\) −16.3977 27.1926i −0.724684 1.20175i
\(513\) −0.576614 + 1.48102i −0.0254581 + 0.0653887i
\(514\) 14.8667 3.45711i 0.655743 0.152487i
\(515\) −4.96933 2.10006i −0.218975 0.0925396i
\(516\) 9.97713 + 6.41191i 0.439219 + 0.282269i
\(517\) 1.40168 + 7.50368i 0.0616456 + 0.330012i
\(518\) 0.941924 0.605338i 0.0413858 0.0265970i
\(519\) 3.19163 0.552332i 0.140097 0.0242447i
\(520\) −0.0695136 0.809332i −0.00304837 0.0354915i
\(521\) −1.95058 + 22.7102i −0.0854564 + 0.994951i 0.820519 + 0.571620i \(0.193685\pi\)
−0.905975 + 0.423331i \(0.860861\pi\)
\(522\) −2.00727 0.347372i −0.0878560 0.0152041i
\(523\) −19.4462 + 8.21802i −0.850322 + 0.359349i −0.770484 0.637459i \(-0.779986\pi\)
−0.0798374 + 0.996808i \(0.525440\pi\)
\(524\) 27.2912 19.8282i 1.19222 0.866199i
\(525\) −0.0778299 + 0.0439525i −0.00339677 + 0.00191825i
\(526\) −0.159365 5.57849i −0.00694863 0.243234i
\(527\) 16.2274 4.76480i 0.706878 0.207558i
\(528\) 7.25172 + 6.11657i 0.315591 + 0.266190i
\(529\) 8.26058 + 2.42553i 0.359156 + 0.105458i
\(530\) 0.990136 3.76687i 0.0430087 0.163622i
\(531\) −3.55308 + 17.5352i −0.154191 + 0.760961i
\(532\) 0.0419133 + 0.0794345i 0.00181717 + 0.00344392i
\(533\) −0.444986 + 15.5765i −0.0192745 + 0.674695i
\(534\) −1.48840 5.66247i −0.0644094 0.245039i
\(535\) −14.8097 + 0.846847i −0.640277 + 0.0366124i
\(536\) −0.560798 + 0.577047i −0.0242228 + 0.0249246i
\(537\) −9.51451 + 4.67797i −0.410582 + 0.201869i
\(538\) −22.1921 + 48.5940i −0.956770 + 2.09504i
\(539\) 8.07806 + 21.7224i 0.347947 + 0.935651i
\(540\) 3.96609 + 8.68452i 0.170673 + 0.373722i
\(541\) 30.8589 + 25.2332i 1.32673 + 1.08486i 0.989668 + 0.143376i \(0.0457959\pi\)
0.337059 + 0.941483i \(0.390568\pi\)
\(542\) −1.81383 + 3.43759i −0.0779107 + 0.147657i
\(543\) 13.2543 + 7.48506i 0.568798 + 0.321215i
\(544\) −27.7698 + 3.18629i −1.19062 + 0.136611i
\(545\) −6.80867 + 0.781222i −0.291651 + 0.0334639i
\(546\) 0.302538 + 0.170851i 0.0129474 + 0.00731174i
\(547\) 15.0611 28.5439i 0.643965 1.22045i −0.318210 0.948020i \(-0.603082\pi\)
0.962176 0.272430i \(-0.0878273\pi\)
\(548\) −6.06307 4.95775i −0.259001 0.211784i
\(549\) 12.1038 + 26.5036i 0.516577 + 1.13115i
\(550\) −4.07239 5.45109i −0.173647 0.232435i
\(551\) 0.0646405 0.141543i 0.00275378 0.00602994i
\(552\) −1.17984 + 0.580088i −0.0502173 + 0.0246902i
\(553\) −1.11899 + 1.15141i −0.0475843 + 0.0489630i
\(554\) 61.6603 3.52586i 2.61969 0.149800i
\(555\) 1.01436 + 3.85903i 0.0430572 + 0.163807i
\(556\) −0.0882200 + 3.08810i −0.00374136 + 0.130965i
\(557\) 16.1069 + 30.5260i 0.682472 + 1.29343i 0.944545 + 0.328381i \(0.106503\pi\)
−0.262073 + 0.965048i \(0.584406\pi\)
\(558\) 4.69509 23.1712i 0.198759 0.980915i
\(559\) 3.19905 12.1705i 0.135305 0.514755i
\(560\) −0.375390 0.110224i −0.0158631 0.00465783i
\(561\) 8.34694 3.94702i 0.352408 0.166643i
\(562\) 25.1598 7.38758i 1.06130 0.311626i
\(563\) −0.956398 33.4783i −0.0403074 1.41094i −0.728317 0.685240i \(-0.759697\pi\)
0.688010 0.725702i \(-0.258485\pi\)
\(564\) 3.57872 2.02099i 0.150691 0.0850992i
\(565\) −0.325824 + 0.236725i −0.0137075 + 0.00995910i
\(566\) −44.2980 + 18.7205i −1.86199 + 0.786881i
\(567\) 0.386298 + 0.0668515i 0.0162230 + 0.00280750i
\(568\) −0.307666 + 3.58209i −0.0129094 + 0.150301i
\(569\) −1.59765 18.6011i −0.0669769 0.779798i −0.950361 0.311149i \(-0.899286\pi\)
0.883384 0.468649i \(-0.155259\pi\)
\(570\) −0.600922 + 0.103994i −0.0251699 + 0.00435582i
\(571\) −15.8239 + 10.1694i −0.662212 + 0.425578i −0.828110 0.560565i \(-0.810584\pi\)
0.165899 + 0.986143i \(0.446948\pi\)
\(572\) −5.23293 + 12.8572i −0.218800 + 0.537588i
\(573\) −8.76618 5.63368i −0.366213 0.235350i
\(574\) −1.71848 0.726235i −0.0717279 0.0303125i
\(575\) −3.69492 + 0.859217i −0.154089 + 0.0358318i
\(576\) −8.15177 + 20.9377i −0.339657 + 0.872402i
\(577\) 15.1275 + 25.0862i 0.629768 + 1.04435i 0.993607 + 0.112891i \(0.0360110\pi\)
−0.363840 + 0.931462i \(0.618534\pi\)
\(578\) 3.25895 10.0300i 0.135555 0.417194i
\(579\) −13.1469 + 17.0492i −0.546366 + 0.708540i
\(580\) −0.339134 0.871058i −0.0140818 0.0361687i
\(581\) 0.910616 + 1.33173i 0.0377787 + 0.0552496i
\(582\) −0.498800 + 3.46923i −0.0206759 + 0.143804i
\(583\) −4.19538 + 4.69511i −0.173755 + 0.194452i
\(584\) 0.560914 + 3.90124i 0.0232108 + 0.161435i
\(585\) 3.27554 3.00626i 0.135427 0.124294i
\(586\) −48.2095 2.75672i −1.99152 0.113879i
\(587\) −6.38767 31.5244i −0.263647 1.30115i −0.864841 0.502047i \(-0.832581\pi\)
0.601193 0.799104i \(-0.294692\pi\)
\(588\) 9.65982 7.89880i 0.398364 0.325741i
\(589\) 1.62061 + 0.796802i 0.0667762 + 0.0328317i
\(590\) −14.7330 + 5.25673i −0.606549 + 0.216416i
\(591\) −1.27854 1.65804i −0.0525922 0.0682028i
\(592\) −9.01893 + 14.9562i −0.370676 + 0.614697i
\(593\) −18.1620 20.9600i −0.745823 0.860726i 0.248333 0.968675i \(-0.420117\pi\)
−0.994156 + 0.107949i \(0.965572\pi\)
\(594\) 1.28796 29.3804i 0.0528457 1.20549i
\(595\) −0.249354 + 0.287770i −0.0102225 + 0.0117974i
\(596\) 12.6866 + 39.0455i 0.519665 + 1.59936i
\(597\) −1.30529 0.465728i −0.0534221 0.0190610i
\(598\) 10.2770 + 10.5748i 0.420259 + 0.432436i
\(599\) 6.18112 + 5.67298i 0.252554 + 0.231792i 0.792445 0.609943i \(-0.208808\pi\)
−0.539892 + 0.841734i \(0.681535\pi\)
\(600\) −0.195622 + 0.286088i −0.00798622 + 0.0116795i
\(601\) −25.6392 5.96214i −1.04584 0.243201i −0.331835 0.943337i \(-0.607668\pi\)
−0.714009 + 0.700137i \(0.753122\pi\)
\(602\) 1.21885 + 0.885546i 0.0496766 + 0.0360922i
\(603\) −4.37540 0.502030i −0.178180 0.0204442i
\(604\) −16.1827 −0.658466
\(605\) 1.85472 + 10.8425i 0.0754053 + 0.440811i
\(606\) 12.8546 0.522181
\(607\) 0.414184 + 0.0475231i 0.0168112 + 0.00192890i 0.122393 0.992482i \(-0.460943\pi\)
−0.105582 + 0.994411i \(0.533670\pi\)
\(608\) −2.41467 1.75436i −0.0979276 0.0711486i
\(609\) 0.0368403 + 0.00856684i 0.00149284 + 0.000347146i
\(610\) −14.3789 + 21.0285i −0.582184 + 0.851417i
\(611\) −3.21282 2.94870i −0.129977 0.119292i
\(612\) 12.4405 + 12.8010i 0.502879 + 0.517450i
\(613\) −0.837146 0.298693i −0.0338120 0.0120641i 0.319089 0.947725i \(-0.396623\pi\)
−0.352901 + 0.935661i \(0.614805\pi\)
\(614\) 10.3340 + 31.8048i 0.417047 + 1.28354i
\(615\) 4.35383 5.02459i 0.175563 0.202611i
\(616\) −0.114196 0.108062i −0.00460110 0.00435396i
\(617\) −23.6743 27.3216i −0.953091 1.09993i −0.994907 0.100800i \(-0.967860\pi\)
0.0418162 0.999125i \(-0.486686\pi\)
\(618\) 4.62032 7.66193i 0.185856 0.308208i
\(619\) −26.3122 34.1222i −1.05758 1.37149i −0.924848 0.380336i \(-0.875808\pi\)
−0.132728 0.991153i \(-0.542374\pi\)
\(620\) 10.2175 3.64560i 0.410345 0.146411i
\(621\) −14.7135 7.23414i −0.590432 0.290296i
\(622\) 11.1693 9.13310i 0.447849 0.366204i
\(623\) −0.0775174 0.382564i −0.00310567 0.0153271i
\(624\) −5.41079 0.309400i −0.216605 0.0123859i
\(625\) −0.736741 + 0.676175i −0.0294696 + 0.0270470i
\(626\) −4.53244 31.5238i −0.181153 1.25994i
\(627\) 0.941622 + 0.292154i 0.0376048 + 0.0116675i
\(628\) 1.37957 9.59510i 0.0550507 0.382886i
\(629\) 9.59442 + 14.0314i 0.382555 + 0.559468i
\(630\) 0.193118 + 0.496019i 0.00769400 + 0.0197619i
\(631\) 4.30988 5.58916i 0.171574 0.222501i −0.698262 0.715842i \(-0.746043\pi\)
0.869836 + 0.493342i \(0.164225\pi\)
\(632\) −1.92378 + 5.92080i −0.0765240 + 0.235517i
\(633\) 1.33795 + 2.21874i 0.0531786 + 0.0881868i
\(634\) 14.7394 37.8579i 0.585378 1.50353i
\(635\) −14.1916 + 3.30011i −0.563175 + 0.130961i
\(636\) 3.12268 + 1.31966i 0.123822 + 0.0523277i
\(637\) −11.1381 7.15802i −0.441307 0.283611i
\(638\) −0.290113 + 2.86466i −0.0114857 + 0.113413i
\(639\) −16.5540 + 10.6386i −0.654868 + 0.420858i
\(640\) −3.36111 + 0.581663i −0.132859 + 0.0229922i
\(641\) −2.78929 32.4751i −0.110170 1.28269i −0.817550 0.575857i \(-0.804668\pi\)
0.707380 0.706833i \(-0.249877\pi\)
\(642\) 2.10527 24.5112i 0.0830885 0.967381i
\(643\) −1.68677 0.291907i −0.0665197 0.0115117i 0.137165 0.990548i \(-0.456201\pi\)
−0.203685 + 0.979037i \(0.565292\pi\)
\(644\) −0.853462 + 0.360676i −0.0336311 + 0.0142126i
\(645\) −4.34356 + 3.15578i −0.171028 + 0.124259i
\(646\) −2.26220 + 1.27752i −0.0890051 + 0.0502635i
\(647\) 0.941113 + 32.9433i 0.0369990 + 1.29513i 0.779973 + 0.625813i \(0.215233\pi\)
−0.742974 + 0.669320i \(0.766586\pi\)
\(648\) 1.45852 0.428262i 0.0572963 0.0168237i
\(649\) 25.0767 + 3.26543i 0.984345 + 0.128179i
\(650\) 3.72971 + 1.09514i 0.146291 + 0.0429550i
\(651\) −0.111593 + 0.424544i −0.00437367 + 0.0166392i
\(652\) 1.76301 8.70079i 0.0690448 0.340749i
\(653\) 3.50232 + 6.63764i 0.137057 + 0.259751i 0.943373 0.331733i \(-0.107633\pi\)
−0.806317 + 0.591484i \(0.798542\pi\)
\(654\) 0.324570 11.3614i 0.0126917 0.444267i
\(655\) 3.88223 + 14.7695i 0.151691 + 0.577093i
\(656\) 29.0535 1.66134i 1.13435 0.0648645i
\(657\) −15.0344 + 15.4700i −0.586547 + 0.603542i
\(658\) 0.468527 0.230359i 0.0182651 0.00898034i
\(659\) −5.05605 + 11.0712i −0.196956 + 0.431273i −0.982181 0.187937i \(-0.939820\pi\)
0.785225 + 0.619210i \(0.212547\pi\)
\(660\) 5.20082 2.83332i 0.202441 0.110287i
\(661\) −4.00447 8.76857i −0.155756 0.341058i 0.815627 0.578579i \(-0.196392\pi\)
−0.971382 + 0.237521i \(0.923665\pi\)
\(662\) −41.3253 33.7915i −1.60615 1.31334i
\(663\) −2.46153 + 4.66511i −0.0955978 + 0.181178i
\(664\) 5.44689 + 3.07600i 0.211380 + 0.119372i
\(665\) −0.0403937 + 0.00463475i −0.00156640 + 0.000179728i
\(666\) 23.6067 2.70862i 0.914743 0.104957i
\(667\) 1.39777 + 0.789358i 0.0541219 + 0.0305641i
\(668\) −9.06814 + 17.1860i −0.350857 + 0.664948i
\(669\) 1.56601 + 1.28052i 0.0605454 + 0.0495077i
\(670\) −1.59958 3.50259i −0.0617971 0.135317i
\(671\) 36.1642 19.7016i 1.39610 0.760574i
\(672\) 0.301382 0.659935i 0.0116261 0.0254575i
\(673\) 34.7406 17.0808i 1.33915 0.658416i 0.375809 0.926697i \(-0.377365\pi\)
0.963341 + 0.268281i \(0.0864556\pi\)
\(674\) −30.8470 + 31.7408i −1.18818 + 1.22261i
\(675\) −4.31500 + 0.246741i −0.166084 + 0.00949705i
\(676\) 5.28431 + 20.1036i 0.203243 + 0.773216i
\(677\) −0.477185 + 16.7037i −0.0183397 + 0.641973i 0.937483 + 0.348030i \(0.113149\pi\)
−0.955823 + 0.293943i \(0.905032\pi\)
\(678\) −0.311703 0.590742i −0.0119709 0.0226873i
\(679\) −0.0464048 + 0.229016i −0.00178085 + 0.00878885i
\(680\) −0.375333 + 1.42792i −0.0143934 + 0.0547580i
\(681\) −2.26728 0.665735i −0.0868825 0.0255110i
\(682\) −33.1366 4.31498i −1.26887 0.165229i
\(683\) −4.19112 + 1.23062i −0.160369 + 0.0470885i −0.360931 0.932592i \(-0.617541\pi\)
0.200563 + 0.979681i \(0.435723\pi\)
\(684\) 0.0544289 + 1.90526i 0.00208114 + 0.0728495i
\(685\) 3.08726 1.74346i 0.117958 0.0666140i
\(686\) 2.56702 1.86505i 0.0980094 0.0712080i
\(687\) −3.85429 + 1.62884i −0.147050 + 0.0621440i
\(688\) −23.1562 4.00733i −0.882820 0.152778i
\(689\) 0.307817 3.58384i 0.0117269 0.136534i
\(690\) −0.538388 6.26833i −0.0204961 0.238631i
\(691\) −7.06362 + 1.22241i −0.268713 + 0.0465026i −0.303286 0.952900i \(-0.598084\pi\)
0.0345732 + 0.999402i \(0.488993\pi\)
\(692\) 7.44590 4.78519i 0.283051 0.181906i
\(693\) 0.0867029 0.856127i 0.00329357 0.0325216i
\(694\) 9.08362 + 5.83769i 0.344810 + 0.221596i
\(695\) −1.28824 0.544414i −0.0488657 0.0206508i
\(696\) 0.142845 0.0332172i 0.00541453 0.00125909i
\(697\) 10.2757 26.3930i 0.389220 0.999705i
\(698\) −14.9265 24.7528i −0.564975 0.936906i
\(699\) 1.66638 5.12858i 0.0630281 0.193981i
\(700\) −0.149148 + 0.193418i −0.00563725 + 0.00731052i
\(701\) −16.1730 41.5399i −0.610845 1.56894i −0.808390 0.588648i \(-0.799660\pi\)
0.197545 0.980294i \(-0.436703\pi\)
\(702\) 9.48295 + 13.8684i 0.357911 + 0.523428i
\(703\) −0.258306 + 1.79656i −0.00974220 + 0.0677585i
\(704\) 30.3313 + 9.41080i 1.14316 + 0.354683i
\(705\) 0.264786 + 1.84163i 0.00997243 + 0.0693598i
\(706\) 29.3289 26.9178i 1.10381 1.01306i
\(707\) 0.855611 + 0.0489256i 0.0321786 + 0.00184004i
\(708\) −2.70391 13.3443i −0.101619 0.501511i
\(709\) 13.6425 11.1555i 0.512357 0.418952i −0.341170 0.940002i \(-0.610823\pi\)
0.853526 + 0.521050i \(0.174459\pi\)
\(710\) −15.4393 7.59100i −0.579427 0.284885i
\(711\) −32.0921 + 11.4504i −1.20355 + 0.429425i
\(712\) −0.924217 1.19855i −0.0346365 0.0449174i
\(713\) −9.62056 + 15.9539i −0.360293 + 0.597478i
\(714\) −0.413547 0.477258i −0.0154766 0.0178609i
\(715\) −4.56441 4.31924i −0.170699 0.161530i
\(716\) −18.9723 + 21.8953i −0.709030 + 0.818264i
\(717\) −2.36278 7.27188i −0.0882396 0.271573i
\(718\) −29.6371 10.5745i −1.10605 0.394637i
\(719\) −25.0006 25.7250i −0.932364 0.959380i 0.0668990 0.997760i \(-0.478689\pi\)
−0.999263 + 0.0383797i \(0.987780\pi\)
\(720\) −6.11706 5.61418i −0.227969 0.209228i
\(721\) 0.336694 0.492400i 0.0125391 0.0183379i
\(722\) 37.6968 + 8.76601i 1.40293 + 0.326237i
\(723\) −6.15888 4.47469i −0.229051 0.166415i
\(724\) 41.3235 + 4.74143i 1.53578 + 0.176214i
\(725\) 0.423159 0.0157157
\(726\) −18.2367 + 0.485593i −0.676827 + 0.0180220i
\(727\) −0.0264828 −0.000982191 −0.000491096 1.00000i \(-0.500156\pi\)
−0.000491096 1.00000i \(0.500156\pi\)
\(728\) 0.0892314 + 0.0102384i 0.00330714 + 0.000379459i
\(729\) −1.74893 1.27067i −0.0647750 0.0470618i
\(730\) −18.3705 4.27188i −0.679923 0.158109i
\(731\) −12.9099 + 18.8801i −0.477489 + 0.698305i
\(732\) −16.3358 14.9929i −0.603790 0.554154i
\(733\) 7.91078 + 8.14000i 0.292191 + 0.300658i 0.847294 0.531124i \(-0.178230\pi\)
−0.555103 + 0.831782i \(0.687321\pi\)
\(734\) 33.0348 + 11.7868i 1.21934 + 0.435059i
\(735\) 1.74558 + 5.37235i 0.0643868 + 0.198162i
\(736\) 20.1637 23.2701i 0.743244 0.857749i
\(737\) −0.272621 + 6.21891i −0.0100421 + 0.229077i
\(738\) −25.9276 29.9220i −0.954408 1.10145i
\(739\) 20.9600 34.7583i 0.771027 1.27861i −0.184246 0.982880i \(-0.558984\pi\)
0.955273 0.295725i \(-0.0955612\pi\)
\(740\) 6.65805 + 8.63431i 0.244755 + 0.317404i
\(741\) −0.530472 + 0.189272i −0.0194874 + 0.00695308i
\(742\) 0.386463 + 0.190011i 0.0141875 + 0.00697553i
\(743\) 3.91767 3.20346i 0.143725 0.117524i −0.558416 0.829561i \(-0.688591\pi\)
0.702142 + 0.712037i \(0.252227\pi\)
\(744\) 0.338011 + 1.66815i 0.0123921 + 0.0611573i
\(745\) −18.5552 1.06102i −0.679809 0.0388729i
\(746\) 10.4558 9.59626i 0.382814 0.351344i
\(747\) 4.87251 + 33.8890i 0.178276 + 1.23993i
\(748\) 16.8111 18.8135i 0.614673 0.687889i
\(749\) 0.233421 1.62348i 0.00852901 0.0593205i
\(750\) −0.936112 1.36902i −0.0341820 0.0499895i
\(751\) 12.8933 + 33.1161i 0.470483 + 1.20843i 0.944676 + 0.328004i \(0.106376\pi\)
−0.474193 + 0.880421i \(0.657260\pi\)
\(752\) −4.97304 + 6.44915i −0.181348 + 0.235176i
\(753\) 7.12438 21.9266i 0.259627 0.799050i
\(754\) −0.849418 1.40860i −0.0309340 0.0512982i
\(755\) 2.65790 6.82675i 0.0967307 0.248451i
\(756\) −1.02821 + 0.239099i −0.0373955 + 0.00869594i
\(757\) −1.40946 0.595643i −0.0512277 0.0216490i 0.363506 0.931592i \(-0.381580\pi\)
−0.414733 + 0.909943i \(0.636125\pi\)
\(758\) −2.43736 1.56639i −0.0885288 0.0568940i
\(759\) −3.83415 + 9.42046i −0.139171 + 0.341941i
\(760\) −0.132624 + 0.0852324i −0.00481079 + 0.00309171i
\(761\) −30.6500 + 5.30419i −1.11106 + 0.192277i −0.696369 0.717684i \(-0.745202\pi\)
−0.414694 + 0.909961i \(0.636111\pi\)
\(762\) −2.06786 24.0756i −0.0749105 0.872167i
\(763\) 0.0648462 0.754991i 0.00234759 0.0273325i
\(764\) −28.0574 4.85552i −1.01508 0.175666i
\(765\) −7.44343 + 3.14562i −0.269118 + 0.113730i
\(766\) −27.6800 + 20.1107i −1.00012 + 0.726628i
\(767\) −12.5794 + 7.10394i −0.454217 + 0.256508i
\(768\) 0.280534 + 9.81997i 0.0101229 + 0.354348i
\(769\) 9.69757 2.84746i 0.349703 0.102682i −0.102163 0.994768i \(-0.532576\pi\)
0.451867 + 0.892085i \(0.350758\pi\)
\(770\) 0.680141 0.321619i 0.0245106 0.0115903i
\(771\) −5.77065 1.69441i −0.207825 0.0610228i
\(772\) −14.9558 + 56.8978i −0.538271 + 2.04780i